TSTP Solution File: SYN969+1 by iProver---3.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.6
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n017.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 22:32:46 EDT 2022

% Result   : Theorem 1.10s 1.50s
% Output   : CNFRefutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   74 (  27   ~;  18   |;  20   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   26 (   0 sgn  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( r(X0)
        & ! [X1] :
            ( p(X1)
           => q(X1) ) )
     => ( ! [X2] :
            ( r(X2)
           => p(X2) )
       => q(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( r(X0)
          & ! [X1] :
              ( p(X1)
             => q(X1) ) )
       => ( ! [X2] :
              ( r(X2)
             => p(X2) )
         => q(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ? [X0] :
      ( ~ q(X0)
      & ! [X2] :
          ( p(X2)
          | ~ r(X2) )
      & r(X0)
      & ! [X1] :
          ( q(X1)
          | ~ p(X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ? [X0] :
      ( ~ q(X0)
      & ! [X2] :
          ( p(X2)
          | ~ r(X2) )
      & r(X0)
      & ! [X1] :
          ( q(X1)
          | ~ p(X1) ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ( ~ q(X0)
      & ! [X1] :
          ( p(X1)
          | ~ r(X1) )
      & r(X0)
      & ! [X2] :
          ( q(X2)
          | ~ p(X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ~ q(X0)
        & ! [X1] :
            ( p(X1)
            | ~ r(X1) )
        & r(X0)
        & ! [X2] :
            ( q(X2)
            | ~ p(X2) ) )
   => ( ~ q(sK0)
      & ! [X1] :
          ( p(X1)
          | ~ r(X1) )
      & r(sK0)
      & ! [X2] :
          ( q(X2)
          | ~ p(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ~ q(sK0)
    & ! [X1] :
        ( p(X1)
        | ~ r(X1) )
    & r(sK0)
    & ! [X2] :
        ( q(X2)
        | ~ p(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f11,plain,
    ~ q(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ! [X1] :
      ( p(X1)
      | ~ r(X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,plain,
    r(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f8,plain,
    ! [X2] :
      ( q(X2)
      | ~ p(X2) ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_49,negated_conjecture,
    ~ q(sK0),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_50,negated_conjecture,
    ( ~ r(X0)
    | p(X0) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_54,plain,
    ( ~ r(sK0)
    | p(sK0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_51,negated_conjecture,
    r(sK0),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_52,negated_conjecture,
    ( ~ p(X0)
    | q(X0) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_53,plain,
    ( ~ p(sK0)
    | q(sK0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_49,c_54,c_51,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Sep  5 09:09:41 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 1.10/1.50  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.50  
% 1.10/1.50  %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------%
% 1.10/1.50  
% 1.10/1.50  ------  iProver source info
% 1.10/1.50  
% 1.10/1.50  git: date: 2022-07-26 19:47:37 +0300
% 1.10/1.50  git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1
% 1.10/1.50  git: non_committed_changes: false
% 1.10/1.50  git: last_make_outside_of_git: false
% 1.10/1.50  
% 1.10/1.50  ------ Parsing...
% 1.10/1.50  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.10/1.50  
% 1.10/1.50  % SZS status Theorem for theBenchmark.p
% 1.10/1.50  
% 1.10/1.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.10/1.50  
% 1.10/1.50  ------                               Statistics
% 1.10/1.50  
% 1.10/1.50  ------ Selected
% 1.10/1.50  
% 1.10/1.50  total_time:                             0.029
% 1.10/1.50  
%------------------------------------------------------------------------------