TSTP Solution File: SYN053+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 03:04:55 EDT 2023

% Result   : Theorem 1.51s 1.16s
% Output   : CNFRefutation 1.51s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f16)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [X0] :
        ( big_f(X0)
        | p )
  <=> ( ! [X1] : big_f(X1)
      | p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel23) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( big_f(X0)
          | p )
    <=> ( ! [X1] : big_f(X1)
        | p ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ( ! [X0] :
        ( big_f(X0)
        | p )
  <~> ( ! [X1] : big_f(X1)
      | p ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ( ( ? [X1] : ~ big_f(X1)
        & ~ p )
      | ? [X0] :
          ( ~ big_f(X0)
          & ~ p ) )
    & ( ! [X1] : big_f(X1)
      | p
      | ! [X0] :
          ( big_f(X0)
          | p ) ) ),
    inference(nnf_transformation,[],[f3]) ).

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

fof(f6,plain,
    ( ( ( ? [X0] : ~ big_f(X0)
        & ~ p )
      | ? [X1] :
          ( ~ big_f(X1)
          & ~ p ) )
    & ( ! [X2] : big_f(X2)
      | p
      | ! [X3] :
          ( big_f(X3)
          | p ) ) ),
    inference(rectify,[],[f5]) ).

fof(f7,plain,
    ( ? [X0] : ~ big_f(X0)
   => ~ big_f(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ? [X1] :
        ( ~ big_f(X1)
        & ~ p )
   => ( ~ big_f(sK1)
      & ~ p ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ( ( ~ big_f(sK0)
        & ~ p )
      | ( ~ big_f(sK1)
        & ~ p ) )
    & ( ! [X2] : big_f(X2)
      | p
      | ! [X3] :
          ( big_f(X3)
          | p ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).

fof(f14,plain,
    ( ~ big_f(sK0)
    | ~ big_f(sK1) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_49,negated_conjecture,
    ( ~ big_f(sK0)
    | ~ big_f(sK1) ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_52,negated_conjecture,
    ~ p,
    inference(cnf_transformation,[],[f15]) ).

cnf(c_53,negated_conjecture,
    ( big_f(X0)
    | big_f(X1)
    | p ),
    inference(cnf_transformation,[],[f16]) ).

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

cnf(c_55,plain,
    ( big_f(X1)
    | big_f(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_53,c_52,c_53]) ).

cnf(c_56,negated_conjecture,
    ( big_f(X0)
    | big_f(X1) ),
    inference(renaming,[status(thm)],[c_55]) ).

cnf(c_62,negated_conjecture,
    ~ big_f(sK1),
    inference(global_subsumption_just,[status(thm)],[c_49,c_52,c_54,c_49]) ).

cnf(c_78,negated_conjecture,
    ( big_f(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_56]) ).

cnf(c_79,negated_conjecture,
    sP0_iProver_split,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56]) ).

cnf(c_82,negated_conjecture,
    big_f(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_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 16:59:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.51/1.16  % SZS status Started for theBenchmark.p
% 1.51/1.16  % SZS status Theorem for theBenchmark.p
% 1.51/1.16  
% 1.51/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.51/1.16  
% 1.51/1.16  ------  iProver source info
% 1.51/1.16  
% 1.51/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.51/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.51/1.16  git: non_committed_changes: false
% 1.51/1.16  git: last_make_outside_of_git: false
% 1.51/1.16  
% 1.51/1.16  ------ Parsing...
% 1.51/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.51/1.16  
% 1.51/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.51/1.16   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.51/1.16  ------ Proving...
% 1.51/1.16  ------ Problem Properties 
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  clauses                                 3
% 1.51/1.16  conjectures                             3
% 1.51/1.16  EPR                                     3
% 1.51/1.16  Horn                                    3
% 1.51/1.16  unary                                   2
% 1.51/1.16  binary                                  1
% 1.51/1.16  lits                                    4
% 1.51/1.16  lits eq                                 0
% 1.51/1.16  fd_pure                                 0
% 1.51/1.16  fd_pseudo                               0
% 1.51/1.16  fd_cond                                 0
% 1.51/1.16  fd_pseudo_cond                          0
% 1.51/1.16  AC symbols                              0
% 1.51/1.16  
% 1.51/1.16  ------ Schedule EPR Horn non eq is on
% 1.51/1.16  
% 1.51/1.16  ------ no equalities: superposition off 
% 1.51/1.16  
% 1.51/1.16  ------ Option_epr_horn Time Limit: Unbounded
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  ------ 
% 1.51/1.16  Current options:
% 1.51/1.16  ------ 
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  ------ Proving...
% 1.51/1.16  
% 1.51/1.16  
% 1.51/1.16  % SZS status Theorem for theBenchmark.p
% 1.51/1.16  
% 1.51/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.51/1.16  
% 1.51/1.16  
%------------------------------------------------------------------------------