TSTP Solution File: SYN931+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:14:49 EDT 2023

% Result   : Theorem 1.29s 1.07s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f16)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X0] :
        ( c
        & p(X0) )
  <=> ( c
      & ? [X0] : p(X0) ) ),
    file('/export/starexec/sandbox/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] :
        ( 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,
    ( ? [X2] : p(X2)
   => p(sK0) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f11,plain,
    ( p(sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_49,negated_conjecture,
    ( ~ p(X0)
    | ~ p(X1)
    | ~ c ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_50,negated_conjecture,
    c,
    inference(cnf_transformation,[],[f17]) ).

cnf(c_53,negated_conjecture,
    ( p(sK1)
    | p(sK0) ),
    inference(cnf_transformation,[],[f11]) ).

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

cnf(c_59,negated_conjecture,
    p(sK1),
    inference(global_subsumption_just,[status(thm)],[c_53,c_50,c_53,c_54]) ).

cnf(c_61,plain,
    ( ~ p(X1)
    | ~ p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49]) ).

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
% 0.00/0.11  % Problem  : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Sat Aug 26 17:55:29 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.29/1.07  % SZS status Started for theBenchmark.p
% 1.29/1.07  % SZS status Theorem for theBenchmark.p
% 1.29/1.07  
% 1.29/1.07  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.29/1.07  
% 1.29/1.07  ------  iProver source info
% 1.29/1.07  
% 1.29/1.07  git: date: 2023-05-31 18:12:56 +0000
% 1.29/1.07  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.29/1.07  git: non_committed_changes: false
% 1.29/1.07  git: last_make_outside_of_git: false
% 1.29/1.07  
% 1.29/1.07  ------ Parsing...
% 1.29/1.07  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.29/1.07  
% 1.29/1.07  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.29/1.07   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.29/1.07  ------ Proving...
% 1.29/1.07  ------ Problem Properties 
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  clauses                                 3
% 1.29/1.07  conjectures                             3
% 1.29/1.07  EPR                                     3
% 1.29/1.07  Horn                                    3
% 1.29/1.07  unary                                   2
% 1.29/1.07  binary                                  1
% 1.29/1.07  lits                                    4
% 1.29/1.07  lits eq                                 0
% 1.29/1.07  fd_pure                                 0
% 1.29/1.07  fd_pseudo                               0
% 1.29/1.07  fd_cond                                 0
% 1.29/1.07  fd_pseudo_cond                          0
% 1.29/1.07  AC symbols                              0
% 1.29/1.07  
% 1.29/1.07  ------ Schedule EPR Horn non eq is on
% 1.29/1.07  
% 1.29/1.07  ------ no equalities: superposition off 
% 1.29/1.07  
% 1.29/1.07  ------ Option_epr_horn Time Limit: Unbounded
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  ------ 
% 1.29/1.07  Current options:
% 1.29/1.07  ------ 
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  ------ Proving...
% 1.29/1.07  
% 1.29/1.07  
% 1.29/1.07  % SZS status Theorem for theBenchmark.p
% 1.29/1.07  
% 1.29/1.07  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.29/1.07  
% 1.29/1.07  
%------------------------------------------------------------------------------