TSTP Solution File: SYN494+1 by iProver---3.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.6
% Problem  : SYN494+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox/benchmark/theBenchmark.p 300 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_no_z3

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 22:28:13 EDT 2022

% Result   : CounterSatisfiable 1.65s 1.51s
% Output   : Saturation 1.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f63)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp11
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c2_1(X11)
              | ~ c1_1(X11) ) )
        | hskp10 )
      & ( hskp2
        | hskp9
        | hskp8 )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c0_1(X10)
              | ~ c3_1(X10) ) )
        | hskp7
        | hskp6 )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c3_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | c3_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | ~ c2_1(X6)
              | c3_1(X6) ) )
        | hskp1
        | hskp5 )
      & ( hskp4
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c0_1(X4)
              | ~ c3_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | ~ c1_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | ~ c2_1(X2)
              | c3_1(X2) ) )
        | hskp3 )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c0_1(X1)
              | c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( ~ c1_1(X0)
              | c3_1(X0)
              | ~ c2_1(X0) ) ) )
      & ( ( c3_1(a60)
          & c0_1(a60)
          & c2_1(a60)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( c3_1(a59)
          & ~ c1_1(a59)
          & c2_1(a59)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( c3_1(a57)
          & ~ c1_1(a57)
          & ~ c2_1(a57)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( c2_1(a56)
          & ~ c0_1(a56)
          & c3_1(a56)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( c2_1(a55)
          & c3_1(a55)
          & ~ c1_1(a55)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( c1_1(a54)
          & ~ c2_1(a54)
          & ~ c3_1(a54)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( c1_1(a52)
          & c2_1(a52)
          & ~ c3_1(a52)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( c1_1(a51)
          & ~ c2_1(a51)
          & c0_1(a51)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( c0_1(a50)
          & ~ c2_1(a50)
          & c1_1(a50)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a58)
          & c3_1(a58)
          & c1_1(a58)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a53)
          & c1_1(a53)
          & ~ c3_1(a53)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a49)
          & c2_1(a49)
          & c3_1(a49)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp11
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c2_1(X11)
                | ~ c1_1(X11) ) )
          | hskp10 )
        & ( hskp2
          | hskp9
          | hskp8 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c0_1(X10)
                | ~ c3_1(X10) ) )
          | hskp7
          | hskp6 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c3_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | c3_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c2_1(X6)
                | c3_1(X6) ) )
          | hskp1
          | hskp5 )
        & ( hskp4
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c0_1(X4)
                | ~ c3_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c2_1(X2)
                | c3_1(X2) ) )
          | hskp3 )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c0_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( ~ c1_1(X0)
                | c3_1(X0)
                | ~ c2_1(X0) ) ) )
        & ( ( c3_1(a60)
            & c0_1(a60)
            & c2_1(a60)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( c3_1(a59)
            & ~ c1_1(a59)
            & c2_1(a59)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( c3_1(a57)
            & ~ c1_1(a57)
            & ~ c2_1(a57)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c2_1(a56)
            & ~ c0_1(a56)
            & c3_1(a56)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( c2_1(a55)
            & c3_1(a55)
            & ~ c1_1(a55)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( c1_1(a54)
            & ~ c2_1(a54)
            & ~ c3_1(a54)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( c1_1(a52)
            & c2_1(a52)
            & ~ c3_1(a52)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( c1_1(a51)
            & ~ c2_1(a51)
            & c0_1(a51)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( c0_1(a50)
            & ~ c2_1(a50)
            & c1_1(a50)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a58)
            & c3_1(a58)
            & c1_1(a58)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a53)
            & c1_1(a53)
            & ~ c3_1(a53)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a49)
            & c2_1(a49)
            & c3_1(a49)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp11
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c2_1(X0)
                | ~ c1_1(X0) ) )
          | hskp10 )
        & ( hskp2
          | hskp9
          | hskp8 )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c0_1(X1)
                | ~ c3_1(X1) ) )
          | hskp7
          | hskp6 )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c3_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c1_1(X3)
                | c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c2_1(X5)
                | c3_1(X5) ) )
          | hskp1
          | hskp5 )
        & ( hskp4
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c0_1(X7)
                | ~ c3_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c2_1(X9)
                | c3_1(X9) ) )
          | hskp3 )
        & ( hskp0
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c0_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | ~ c2_1(X11) ) ) )
        & ( ( c3_1(a60)
            & c0_1(a60)
            & c2_1(a60)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( c3_1(a59)
            & ~ c1_1(a59)
            & c2_1(a59)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( c3_1(a57)
            & ~ c1_1(a57)
            & ~ c2_1(a57)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c2_1(a56)
            & ~ c0_1(a56)
            & c3_1(a56)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( c2_1(a55)
            & c3_1(a55)
            & ~ c1_1(a55)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( c1_1(a54)
            & ~ c2_1(a54)
            & ~ c3_1(a54)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( c1_1(a52)
            & c2_1(a52)
            & ~ c3_1(a52)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( c1_1(a51)
            & ~ c2_1(a51)
            & c0_1(a51)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( c0_1(a50)
            & ~ c2_1(a50)
            & c1_1(a50)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a58)
            & c3_1(a58)
            & c1_1(a58)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a53)
            & c1_1(a53)
            & ~ c3_1(a53)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a49)
            & c2_1(a49)
            & c3_1(a49)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp11
      | ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c2_1(X0)
            | ~ c1_1(X0) ) )
      | hskp10 )
    & ( hskp2
      | hskp9
      | hskp8 )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | c0_1(X1)
            | ~ c3_1(X1) ) )
      | hskp7
      | hskp6 )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c3_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | ~ c1_1(X3)
            | c0_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | c3_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | ~ c2_1(X5)
            | c3_1(X5) ) )
      | hskp1
      | hskp5 )
    & ( hskp4
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | c0_1(X7)
            | ~ c3_1(X7) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | ~ c2_1(X9)
            | c3_1(X9) ) )
      | hskp3 )
    & ( hskp0
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c0_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | ~ c2_1(X11) ) ) )
    & ( ( c3_1(a60)
        & c0_1(a60)
        & c2_1(a60)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( c3_1(a59)
        & ~ c1_1(a59)
        & c2_1(a59)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c3_1(a57)
        & ~ c1_1(a57)
        & ~ c2_1(a57)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c2_1(a56)
        & ~ c0_1(a56)
        & c3_1(a56)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c2_1(a55)
        & c3_1(a55)
        & ~ c1_1(a55)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c1_1(a54)
        & ~ c2_1(a54)
        & ~ c3_1(a54)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c1_1(a52)
        & c2_1(a52)
        & ~ c3_1(a52)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c1_1(a51)
        & ~ c2_1(a51)
        & c0_1(a51)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( c0_1(a50)
        & ~ c2_1(a50)
        & c1_1(a50)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a58)
        & c3_1(a58)
        & c1_1(a58)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a53)
        & c1_1(a53)
        & ~ c3_1(a53)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a49)
        & c2_1(a49)
        & c3_1(a49)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp11
      | ! [X0] :
          ( c0_1(X0)
          | c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp2
      | hskp9
      | hskp8 )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | c0_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X2] :
          ( ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c1_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp5 )
    & ( hskp4
      | ! [X6] :
          ( c2_1(X6)
          | c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | ~ c2_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp0
      | ! [X10] :
          ( ~ c1_1(X10)
          | c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a60)
        & c0_1(a60)
        & c2_1(a60)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( c3_1(a59)
        & ~ c1_1(a59)
        & c2_1(a59)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c3_1(a57)
        & ~ c1_1(a57)
        & ~ c2_1(a57)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c2_1(a56)
        & ~ c0_1(a56)
        & c3_1(a56)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c2_1(a55)
        & c3_1(a55)
        & ~ c1_1(a55)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c1_1(a54)
        & ~ c2_1(a54)
        & ~ c3_1(a54)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c1_1(a52)
        & c2_1(a52)
        & ~ c3_1(a52)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c1_1(a51)
        & ~ c2_1(a51)
        & c0_1(a51)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( c0_1(a50)
        & ~ c2_1(a50)
        & c1_1(a50)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a58)
        & c3_1(a58)
        & c1_1(a58)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a53)
        & c1_1(a53)
        & ~ c3_1(a53)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a49)
        & c2_1(a49)
        & c3_1(a49)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp11
      | ! [X0] :
          ( c0_1(X0)
          | c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp2
      | hskp9
      | hskp8 )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | c0_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X2] :
          ( ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c1_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp5 )
    & ( hskp4
      | ! [X6] :
          ( c2_1(X6)
          | c1_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | ~ c2_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp0
      | ! [X10] :
          ( ~ c1_1(X10)
          | c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a60)
        & c0_1(a60)
        & c2_1(a60)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( c3_1(a59)
        & ~ c1_1(a59)
        & c2_1(a59)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c3_1(a57)
        & ~ c1_1(a57)
        & ~ c2_1(a57)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c2_1(a56)
        & ~ c0_1(a56)
        & c3_1(a56)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c2_1(a55)
        & c3_1(a55)
        & ~ c1_1(a55)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c1_1(a54)
        & ~ c2_1(a54)
        & ~ c3_1(a54)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c1_1(a52)
        & c2_1(a52)
        & ~ c3_1(a52)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c1_1(a51)
        & ~ c2_1(a51)
        & c0_1(a51)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( c0_1(a50)
        & ~ c2_1(a50)
        & c1_1(a50)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a58)
        & c3_1(a58)
        & c1_1(a58)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a53)
        & c1_1(a53)
        & ~ c3_1(a53)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a49)
        & c2_1(a49)
        & c3_1(a49)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f62,plain,
    ! [X0] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f43,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( hskp2
    | hskp9
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ! [X1] :
      ( ~ c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | hskp7
      | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ! [X5] :
      ( c0_1(X5)
      | ~ c2_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | hskp1
      | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f51,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ( c3_1(a49)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a49)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c1_1(a49)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( ~ c3_1(a53)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c1_1(a53)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c0_1(a53)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a58)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( c3_1(a58)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c0_1(a58)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c1_1(a50)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c2_1(a50)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( c0_1(a50)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c0_1(a51)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c2_1(a51)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( c1_1(a51)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( ~ c3_1(a52)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c2_1(a52)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( c1_1(a52)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( ~ c3_1(a54)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c2_1(a54)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( c1_1(a54)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( ~ c1_1(a55)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a55)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( c2_1(a55)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c3_1(a56)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( ~ c0_1(a56)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( c2_1(a56)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ c2_1(a57)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c1_1(a57)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( c3_1(a57)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c2_1(a59)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c1_1(a59)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( c3_1(a59)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c2_1(a60)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( c0_1(a60)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( c3_1(a60)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp11
    | hskp10 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_72,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_68,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_50,negated_conjecture,
    ( hskp2
    | hskp9
    | hskp8 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_109,negated_conjecture,
    ndr1_0,
    inference(global_propositional_subsumption,[status(thm)],[c_104,c_96,c_72,c_68,c_50]) ).

cnf(c_148,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp11
    | hskp10 ),
    inference(global_propositional_subsumption,[status(thm)],[c_49,c_96,c_72,c_68,c_50]) ).

cnf(c_51,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_145,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_propositional_subsumption,[status(thm)],[c_51,c_96,c_72,c_68,c_50]) ).

cnf(c_146,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(renaming,[status(thm)],[c_145]) ).

cnf(c_52,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_143,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(global_propositional_subsumption,[status(thm)],[c_52,c_96,c_72,c_68,c_50]) ).

cnf(c_144,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_143]) ).

cnf(c_53,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp1
    | hskp5 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_140,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp1
    | hskp5 ),
    inference(global_propositional_subsumption,[status(thm)],[c_53,c_96,c_72,c_68,c_50]) ).

cnf(c_54,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_138,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(global_propositional_subsumption,[status(thm)],[c_54,c_96,c_72,c_68,c_50]) ).

cnf(c_139,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_138]) ).

cnf(c_55,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_136,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | hskp3 ),
    inference(global_propositional_subsumption,[status(thm)],[c_55,c_96,c_72,c_68,c_50]) ).

cnf(c_137,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_136]) ).

cnf(c_56,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_133,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_56,c_96,c_72,c_68,c_50]) ).

cnf(c_134,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_133]) ).

cnf(c_60,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_131,negated_conjecture,
    ndr1_0,
    inference(global_propositional_subsumption,[status(thm)],[c_60,c_96,c_72,c_68,c_50]) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp0
    | c3_1(a49) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp0
    | c2_1(a49) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_101,negated_conjecture,
    ( ~ c1_1(a49)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(a53)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp1
    | c1_1(a53) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_97,negated_conjecture,
    ( ~ c0_1(a53)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp2
    | c1_1(a58) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp2
    | c3_1(a58) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_93,negated_conjecture,
    ( ~ c0_1(a58)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp3
    | c1_1(a50) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_90,negated_conjecture,
    ( ~ c2_1(a50)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp3
    | c0_1(a50) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_87,negated_conjecture,
    ( ~ hskp4
    | c0_1(a51) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_86,negated_conjecture,
    ( ~ c2_1(a51)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_85,negated_conjecture,
    ( ~ hskp4
    | c1_1(a51) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(a52)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_82,negated_conjecture,
    ( ~ hskp5
    | c2_1(a52) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_81,negated_conjecture,
    ( ~ hskp5
    | c1_1(a52) ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(a54)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_78,negated_conjecture,
    ( ~ c2_1(a54)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_77,negated_conjecture,
    ( ~ hskp6
    | c1_1(a54) ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_75,negated_conjecture,
    ( ~ c1_1(a55)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_74,negated_conjecture,
    ( ~ hskp7
    | c3_1(a55) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_73,negated_conjecture,
    ( ~ hskp7
    | c2_1(a55) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_71,negated_conjecture,
    ( ~ hskp8
    | c3_1(a56) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_70,negated_conjecture,
    ( ~ c0_1(a56)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_69,negated_conjecture,
    ( ~ hskp8
    | c2_1(a56) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_67,negated_conjecture,
    ( ~ c2_1(a57)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_66,negated_conjecture,
    ( ~ c1_1(a57)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_65,negated_conjecture,
    ( ~ hskp9
    | c3_1(a57) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_63,negated_conjecture,
    ( ~ hskp10
    | c2_1(a59) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_62,negated_conjecture,
    ( ~ c1_1(a59)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_61,negated_conjecture,
    ( ~ hskp10
    | c3_1(a59) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_59,negated_conjecture,
    ( ~ hskp11
    | c2_1(a60) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_58,negated_conjecture,
    ( ~ hskp11
    | c0_1(a60) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_57,negated_conjecture,
    ( ~ hskp11
    | c3_1(a60) ),
    inference(cnf_transformation,[],[f54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN494+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % Command  : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox/benchmark/theBenchmark.p 300 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_no_z3
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Sep  5 04:53:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.65/1.51  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.51  
% 1.65/1.51  %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------%
% 1.65/1.51  
% 1.65/1.51  ------  iProver source info
% 1.65/1.51  
% 1.65/1.51  git: date: 2022-07-26 19:47:37 +0300
% 1.65/1.51  git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1
% 1.65/1.51  git: non_committed_changes: false
% 1.65/1.51  git: last_make_outside_of_git: false
% 1.65/1.51  
% 1.65/1.51  ------ Parsing...
% 1.65/1.51  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.65/1.51  
% 1.65/1.51  
% 1.65/1.51  ------ Preprocessing... sf_s  rm: 45 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.65/1.51  
% 1.65/1.51  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.65/1.51   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.65/1.51  ------ Proving...
% 1.65/1.51  ------ Problem Properties 
% 1.65/1.51  
% 1.65/1.51  
% 1.65/1.51  clauses                                 0
% 1.65/1.51  conjectures                             0
% 1.65/1.51  EPR                                     0
% 1.65/1.51  Horn                                    0
% 1.65/1.51  unary                                   0
% 1.65/1.51  binary                                  0
% 1.65/1.51  lits                                    0
% 1.65/1.51  lits eq                                 0
% 1.65/1.51  fd_pure                                 0
% 1.65/1.51  fd_pseudo                               0
% 1.65/1.51  fd_cond                                 0
% 1.65/1.51  fd_pseudo_cond                          0
% 1.65/1.51  AC symbols                              0
% 1.65/1.51  
% 1.65/1.51  ------ Schedule EPR Horn non eq is on
% 1.65/1.51  
% 1.65/1.51  ------ no conjectures: strip conj schedule 
% 1.65/1.51  
% 1.65/1.51  ------ no equalities: superposition off 
% 1.65/1.51  
% 1.65/1.51  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.65/1.51  
% 1.65/1.51  
% 1.65/1.51  
% 1.65/1.51  
% 1.65/1.51  % SZS status CounterSatisfiable for theBenchmark.p
% 1.65/1.51  
% 1.65/1.51  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.65/1.51  
% 1.65/1.51  ------                               Statistics
% 1.65/1.51  
% 1.65/1.51  ------ Selected
% 1.65/1.51  
% 1.65/1.51  total_time:                             0.055
% 1.65/1.51  
%------------------------------------------------------------------------------