TSTP Solution File: SYN393+1.003 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 03:06:52 EDT 2023

% Result   : Theorem 0.49s 1.18s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   40 (   1 unt;   0 def)
%            Number of atoms       :  199 (   0 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  246 (  87   ~; 124   |;  14   &)
%                                         (  19 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    5 (   4 usr;   5 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ( p1
      <=> p2 )
    <=> p3 )
  <=> ( p1
    <=> ( p2
      <=> p3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel12) ).

fof(f2,negated_conjecture,
    ~ ( ( ( p1
        <=> p2 )
      <=> p3 )
    <=> ( p1
      <=> ( p2
        <=> p3 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ( ( ( p1
      <=> p2 )
    <=> p3 )
  <~> ( p1
    <=> ( p2
      <=> p3 ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( sP0
  <=> ( ( p1
      <=> p2 )
    <=> p3 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f5,plain,
    ( sP0
  <~> ( p1
    <=> ( p2
      <=> p3 ) ) ),
    inference(definition_folding,[],[f3,f4]) ).

fof(f6,plain,
    ( ( sP0
      | ( ( ~ p3
          | ( ( ~ p2
              | ~ p1 )
            & ( p2
              | p1 ) ) )
        & ( p3
          | ( ( p1
              | ~ p2 )
            & ( p2
              | ~ p1 ) ) ) ) )
    & ( ( ( ( ( p1
              | ~ p2 )
            & ( p2
              | ~ p1 ) )
          | ~ p3 )
        & ( p3
          | ( ( ~ p2
              | ~ p1 )
            & ( p2
              | p1 ) ) ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f7,plain,
    ( ( ( ( ( ( ~ p3
              | ~ p2 )
            & ( p3
              | p2 ) )
          | ~ p1 )
        & ( ( ( p2
              | ~ p3 )
            & ( p3
              | ~ p2 ) )
          | p1 ) )
      | ~ sP0 )
    & ( ( ( p1
          | ( ( ~ p3
              | ~ p2 )
            & ( p3
              | p2 ) ) )
        & ( ( ( p2
              | ~ p3 )
            & ( p3
              | ~ p2 ) )
          | ~ p1 ) )
      | sP0 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( p3
    | p2
    | p1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( p3
    | ~ p2
    | ~ p1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( p2
    | ~ p1
    | ~ p3
    | ~ sP0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f11,plain,
    ( p1
    | ~ p2
    | ~ p3
    | ~ sP0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( sP0
    | p3
    | p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( sP0
    | p3
    | p1
    | ~ p2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( sP0
    | ~ p3
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ( sP0
    | ~ p3
    | ~ p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( p3
    | ~ p2
    | ~ p1
    | sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f17,plain,
    ( p2
    | ~ p3
    | ~ p1
    | sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f18,plain,
    ( p1
    | p3
    | p2
    | sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f19,plain,
    ( p1
    | ~ p3
    | ~ p2
    | sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f20,plain,
    ( p3
    | ~ p2
    | p1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f21,plain,
    ( p2
    | ~ p3
    | p1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f22,plain,
    ( p3
    | p2
    | ~ p1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f23,plain,
    ( ~ p3
    | ~ p2
    | ~ p1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_49,plain,
    ( ~ p3
    | ~ p2
    | ~ p1
    | sP0 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_50,plain,
    ( ~ p3
    | sP0
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_51,plain,
    ( ~ p2
    | sP0
    | p3
    | p1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_52,plain,
    ( ~ p1
    | sP0
    | p3
    | p2 ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_53,plain,
    ( ~ sP0
    | ~ p3
    | ~ p2
    | p1 ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_54,plain,
    ( ~ sP0
    | ~ p3
    | ~ p1
    | p2 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_55,plain,
    ( ~ sP0
    | ~ p2
    | ~ p1
    | p3 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_56,plain,
    ( ~ sP0
    | p3
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_57,negated_conjecture,
    ( ~ sP0
    | ~ p3
    | ~ p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_58,negated_conjecture,
    ( ~ sP0
    | ~ p1
    | p3
    | p2 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_59,negated_conjecture,
    ( ~ sP0
    | ~ p3
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_60,negated_conjecture,
    ( ~ sP0
    | ~ p2
    | p3
    | p1 ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_61,negated_conjecture,
    ( ~ p3
    | ~ p2
    | sP0
    | p1 ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_62,negated_conjecture,
    ( sP0
    | p3
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_63,negated_conjecture,
    ( ~ p3
    | ~ p1
    | sP0
    | p2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_64,negated_conjecture,
    ( ~ p2
    | ~ p1
    | sP0
    | p3 ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_65,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_57,c_49,c_53,c_54,c_55,c_58,c_59,c_60,c_61,c_63,c_64,c_50,c_51,c_52,c_56,c_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n015.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 19:29:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.18  % SZS status Started for theBenchmark.p
% 0.49/1.18  % SZS status Theorem for theBenchmark.p
% 0.49/1.18  
% 0.49/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.18  
% 0.49/1.18  ------  iProver source info
% 0.49/1.18  
% 0.49/1.18  git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.18  git: non_committed_changes: false
% 0.49/1.18  git: last_make_outside_of_git: false
% 0.49/1.18  
% 0.49/1.18  ------ Parsing...
% 0.49/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  ------ Preprocessing...
% 0.49/1.18  
% 0.49/1.18  % SZS status Theorem for theBenchmark.p
% 0.49/1.18  
% 0.49/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.18  
% 0.49/1.18  
%------------------------------------------------------------------------------