TSTP Solution File: SYN372+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN372+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Fri Sep  1 03:06:44 EDT 2023

% Result   : Theorem 0.72s 1.16s
% Output   : CNFRefutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   50 (  20   ~;   9   |;  10   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (   2 sgn;  10   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ? [X1] :
          ( big_p(X1)
         => big_q(X0) )
     => ? [X1] :
          ( big_p(X1)
         => big_q(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2123) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X1] :
            ( big_p(X1)
           => big_q(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X2] :
            ( big_p(X2)
           => big_q(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ? [X0] :
      ( ! [X2] :
          ( ~ big_q(X2)
          & big_p(X2) )
      & ? [X1] :
          ( big_q(X0)
          | ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

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

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

fof(f7,plain,
    ( ? [X2] :
        ( big_q(sK0)
        | ~ big_p(X2) )
   => ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ! [X1] :
        ( ~ big_q(X1)
        & big_p(X1) )
    & ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f9,plain,
    ( big_q(sK0)
    | ~ big_p(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f10,plain,
    ! [X1] : big_p(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f11,plain,
    ! [X1] : ~ big_q(X1),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_49,negated_conjecture,
    ~ big_q(X0),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_50,negated_conjecture,
    big_p(X0),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_51,negated_conjecture,
    ( ~ big_p(sK1)
    | big_q(sK0) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_53,plain,
    ~ big_q(sK0),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_54,negated_conjecture,
    ~ big_p(sK1),
    inference(global_subsumption_just,[status(thm)],[c_51,c_53,c_51]) ).

cnf(c_56,plain,
    $false,
    inference(resolution,[status(thm)],[c_54,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN372+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 19:08:35 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.72/1.16  % SZS status Started for theBenchmark.p
% 0.72/1.16  % SZS status Theorem for theBenchmark.p
% 0.72/1.16  
% 0.72/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.72/1.16  
% 0.72/1.16  ------  iProver source info
% 0.72/1.16  
% 0.72/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.72/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.72/1.16  git: non_committed_changes: false
% 0.72/1.16  git: last_make_outside_of_git: false
% 0.72/1.16  
% 0.72/1.16  ------ Parsing...
% 0.72/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.72/1.16  
% 0.72/1.16  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.72/1.16   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.72/1.16  ------ Proving...
% 0.72/1.16  ------ Problem Properties 
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  clauses                                 2
% 0.72/1.16  conjectures                             2
% 0.72/1.16  EPR                                     2
% 0.72/1.16  Horn                                    2
% 0.72/1.16  unary                                   2
% 0.72/1.16  binary                                  0
% 0.72/1.16  lits                                    2
% 0.72/1.16  lits eq                                 0
% 0.72/1.16  fd_pure                                 0
% 0.72/1.16  fd_pseudo                               0
% 0.72/1.16  fd_cond                                 0
% 0.72/1.16  fd_pseudo_cond                          0
% 0.72/1.16  AC symbols                              0
% 0.72/1.16  
% 0.72/1.16  ------ Schedule EPR Horn non eq is on
% 0.72/1.16  
% 0.72/1.16  ------ no equalities: superposition off 
% 0.72/1.16  
% 0.72/1.16  ------ Option_epr_horn Time Limit: Unbounded
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  ------ 
% 0.72/1.16  Current options:
% 0.72/1.16  ------ 
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  ------ Proving...
% 0.72/1.16  
% 0.72/1.16  
% 0.72/1.16  % SZS status Theorem for theBenchmark.p
% 0.72/1.16  
% 0.72/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.72/1.16  
% 0.72/1.16  
%------------------------------------------------------------------------------