TSTP Solution File: SYN934+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN934+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 May  3 03:33:38 EDT 2024

% Result   : Theorem 1.69s 1.21s
% Output   : CNFRefutation 1.69s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f17)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X0] :
        ( c
       => p(X0) )
  <=> ( c
     => ? [X0] : p(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
          ( c
         => p(X0) )
    <=> ( c
       => ? [X0] : p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ( ? [X0] :
          ( c
         => p(X0) )
    <=> ( c
       => ? [X1] : p(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ? [X0] :
        ( p(X0)
        | ~ c )
  <~> ( ? [X1] : p(X1)
      | ~ c ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ( ! [X1] : ~ p(X1)
        & c )
      | ! [X0] :
          ( ~ p(X0)
          & c ) )
    & ( ? [X1] : p(X1)
      | ~ c
      | ? [X0] :
          ( p(X0)
          | ~ c ) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( ( ! [X1] : ~ p(X1)
        & c )
      | ! [X0] :
          ( ~ p(X0)
          & c ) )
    & ( ? [X1] : p(X1)
      | ~ c
      | ? [X0] :
          ( p(X0)
          | ~ c ) ) ),
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ( ( ( ! [X0] : ~ p(X0)
        & c )
      | ! [X1] :
          ( ~ p(X1)
          & c ) )
    & ( ? [X2] : p(X2)
      | ~ c
      | ? [X3] :
          ( p(X3)
          | ~ c ) ) ),
    inference(rectify,[],[f6]) ).

fof(f8,plain,
    ( ? [X2] : p(X2)
   => p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X3] :
        ( p(X3)
        | ~ c )
   => ( p(sK1)
      | ~ c ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ( ( ! [X0] : ~ p(X0)
        & c )
      | ! [X1] :
          ( ~ p(X1)
          & c ) )
    & ( p(sK0)
      | ~ c
      | p(sK1)
      | ~ c ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ p(X0)
      | ~ p(X1) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_49,negated_conjecture,
    ( ~ p(X0)
    | ~ p(X1) ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_52,negated_conjecture,
    c,
    inference(cnf_transformation,[],[f16]) ).

cnf(c_53,negated_conjecture,
    ( ~ c
    | p(sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_54,plain,
    ~ p(sK0),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_59,negated_conjecture,
    p(sK1),
    inference(global_subsumption_just,[status(thm)],[c_53,c_52,c_53,c_54]) ).

cnf(c_75,negated_conjecture,
    ( ~ p(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_49]) ).

cnf(c_76,negated_conjecture,
    sP0_iProver_def,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).

cnf(c_77,negated_conjecture,
    p(sK1),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_78,negated_conjecture,
    sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_76]) ).

cnf(c_80,negated_conjecture,
    ( ~ p(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_83,negated_conjecture,
    ~ p(X0),
    inference(global_subsumption_just,[status(thm)],[c_80,c_78,c_80]) ).

cnf(c_85,plain,
    $false,
    inference(resolution,[status(thm)],[c_83,c_77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN934+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.16/0.37  % Computer : n002.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May  2 21:09:57 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.69/1.21  % SZS status Started for theBenchmark.p
% 1.69/1.21  % SZS status Theorem for theBenchmark.p
% 1.69/1.21  
% 1.69/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.69/1.21  
% 1.69/1.21  ------  iProver source info
% 1.69/1.21  
% 1.69/1.21  git: date: 2024-05-02 19:28:25 +0000
% 1.69/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.69/1.21  git: non_committed_changes: false
% 1.69/1.21  
% 1.69/1.21  ------ Parsing...
% 1.69/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.69/1.21  
% 1.69/1.21  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.69/1.21   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.69/1.21  ------ Proving...
% 1.69/1.21  ------ Problem Properties 
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  clauses                                 3
% 1.69/1.21  conjectures                             3
% 1.69/1.21  EPR                                     3
% 1.69/1.21  Horn                                    3
% 1.69/1.21  unary                                   2
% 1.69/1.21  binary                                  1
% 1.69/1.21  lits                                    4
% 1.69/1.21  lits eq                                 0
% 1.69/1.21  fd_pure                                 0
% 1.69/1.21  fd_pseudo                               0
% 1.69/1.21  fd_cond                                 0
% 1.69/1.21  fd_pseudo_cond                          0
% 1.69/1.21  AC symbols                              0
% 1.69/1.21  
% 1.69/1.21  ------ Schedule EPR Horn non eq is on
% 1.69/1.21  
% 1.69/1.21  ------ no equalities: superposition off 
% 1.69/1.21  
% 1.69/1.21  ------ Option_epr_horn Time Limit: Unbounded
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  ------ 
% 1.69/1.21  Current options:
% 1.69/1.21  ------ 
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  ------ Proving...
% 1.69/1.21  
% 1.69/1.21  
% 1.69/1.21  % SZS status Theorem for theBenchmark.p
% 1.69/1.21  
% 1.69/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.21  
% 1.69/1.21  
%------------------------------------------------------------------------------