TSTP Solution File: SYN937+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN937+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:14:51 EDT 2023

% Result   : Theorem 1.60s 1.19s
% Output   : CNFRefutation 1.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f17)

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

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

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

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

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

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

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

fof(f8,plain,
    ( ? [X0] : p(X0)
   => p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X1] :
        ( ~ c
        & p(X1) )
   => ( ~ c
      & p(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ( ( ~ c
        & p(sK0) )
      | ( ~ c
        & p(sK1) ) )
    & ( c
      | ! [X2] : ~ p(X2)
      | ! [X3] :
          ( c
          | ~ p(X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f12,plain,
    ( p(sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f14,plain,
    ( ~ c
    | p(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_49,negated_conjecture,
    ~ c,
    inference(cnf_transformation,[],[f16]) ).

cnf(c_50,negated_conjecture,
    ( ~ c
    | p(sK1) ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_52,negated_conjecture,
    ( p(sK1)
    | p(sK0) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_53,negated_conjecture,
    ( ~ p(X0)
    | ~ p(X1)
    | c ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_54,plain,
    ( ~ p(sK0)
    | c ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_59,negated_conjecture,
    p(sK1),
    inference(global_subsumption_just,[status(thm)],[c_50,c_49,c_52,c_54]) ).

cnf(c_61,plain,
    ( ~ p(X1)
    | ~ p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_53,c_49,c_53]) ).

cnf(c_62,negated_conjecture,
    ( ~ p(X0)
    | ~ p(X1) ),
    inference(renaming,[status(thm)],[c_61]) ).

cnf(c_78,negated_conjecture,
    ( ~ p(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_62]) ).

cnf(c_79,negated_conjecture,
    sP0_iProver_split,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_62]) ).

cnf(c_82,negated_conjecture,
    ~ p(X0),
    inference(global_subsumption_just,[status(thm)],[c_78,c_79,c_78]) ).

cnf(c_84,plain,
    $false,
    inference(resolution,[status(thm)],[c_82,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN937+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 17:16:20 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.60/1.19  % SZS status Started for theBenchmark.p
% 1.60/1.19  % SZS status Theorem for theBenchmark.p
% 1.60/1.19  
% 1.60/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.60/1.19  
% 1.60/1.19  ------  iProver source info
% 1.60/1.19  
% 1.60/1.19  git: date: 2023-05-31 18:12:56 +0000
% 1.60/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.60/1.19  git: non_committed_changes: false
% 1.60/1.19  git: last_make_outside_of_git: false
% 1.60/1.19  
% 1.60/1.19  ------ Parsing...
% 1.60/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.60/1.19  
% 1.60/1.19  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.60/1.19   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.60/1.19  ------ Proving...
% 1.60/1.19  ------ Problem Properties 
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  clauses                                 3
% 1.60/1.19  conjectures                             3
% 1.60/1.19  EPR                                     3
% 1.60/1.19  Horn                                    3
% 1.60/1.19  unary                                   2
% 1.60/1.19  binary                                  1
% 1.60/1.19  lits                                    4
% 1.60/1.19  lits eq                                 0
% 1.60/1.19  fd_pure                                 0
% 1.60/1.19  fd_pseudo                               0
% 1.60/1.19  fd_cond                                 0
% 1.60/1.19  fd_pseudo_cond                          0
% 1.60/1.19  AC symbols                              0
% 1.60/1.19  
% 1.60/1.19  ------ Schedule EPR Horn non eq is on
% 1.60/1.19  
% 1.60/1.19  ------ no equalities: superposition off 
% 1.60/1.19  
% 1.60/1.19  ------ Option_epr_horn Time Limit: Unbounded
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  ------ 
% 1.60/1.19  Current options:
% 1.60/1.19  ------ 
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  ------ Proving...
% 1.60/1.19  
% 1.60/1.19  
% 1.60/1.19  % SZS status Theorem for theBenchmark.p
% 1.60/1.19  
% 1.60/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.19  
% 1.60/1.19  
%------------------------------------------------------------------------------