TSTP Solution File: SYN721+1 by CSE_E---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.4
% Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% 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 21:12:48 EDT 2022

% Result   : Theorem 0.62s 0.69s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   31 (  10   ~;   6   |;   9   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (   4 sgn  14   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(lx1,conjecture,
    ( ( r(a,b)
      & ! [X1] :
          ( ? [X2] : r(X1,X2)
         => q(X1,X1) )
      & ! [X3,X4] :
          ( q(X3,X4)
         => ! [X5] : r(X5,X4) ) )
   => ? [X6] :
        ( r(b,X6)
        & q(X6,a) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( r(a,b)
        & ! [X1] :
            ( ? [X2] : r(X1,X2)
           => q(X1,X1) )
        & ! [X3,X4] :
            ( q(X3,X4)
           => ! [X5] : r(X5,X4) ) )
     => ? [X6] :
          ( r(b,X6)
          & q(X6,a) ) ),
    inference(assume_negation,[status(cth)],[lx1]) ).

fof(c_0_2,negated_conjecture,
    ! [X13,X14,X15,X16,X17,X18] :
      ( r(a,b)
      & ( ~ r(X13,X14)
        | q(X13,X13) )
      & ( ~ q(X15,X16)
        | r(X17,X16) )
      & ( ~ r(b,X18)
        | ~ q(X18,a) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3,negated_conjecture,
    ( q(X1,X1)
    | ~ r(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    r(a,b),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ r(b,X1)
    | ~ q(X1,a) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    q(a,a),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( r(X3,X2)
    | ~ q(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ~ r(b,a),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    r(X1,a),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command   : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Sep  5 06:56:42 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  openjdk version "1.8.0_171"
% 0.20/0.44  OpenJDK Runtime Environment (build 1.8.0_171-b10)
% 0.20/0.44  OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode)
% 0.20/0.44  file=/export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.66  start to proof: theBenchmark
% 0.62/0.69  % Version  : CSE_E---1.4
% 0.62/0.69  % Problem  : theBenchmark.p
% 0.62/0.69  % Proof found
% 0.62/0.69  % SZS status Theorem for theBenchmark.p
% 0.62/0.69  % SZS output start Proof
% See solution above
% 0.62/0.69  % Total time : 0.019000 s
%------------------------------------------------------------------------------