TSTP Solution File: SYN392+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN392+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 03:30:26 EDT 2024

% Result   : Theorem 0.77s 1.21s
% Output   : CNFRefutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   25 (   1 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  128 (  48   ~;  56   |;  15   &)
%                                         (   7 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 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 )
  <=> ( ( p1
        | ~ p2 )
      & ( ~ p1
        | p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel14) ).

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

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

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

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

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

fof(f7,plain,
    ( ( sP0
      | ( ~ p1
        & p2 )
      | ( p1
        & ~ p2 ) )
    & ( ( ( p1
          | ~ p2 )
        & ( ~ p1
          | p2 ) )
      | ~ sP0 ) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ( ( ~ sP0
      | ( ( ~ p2
          | ~ p1 )
        & ( p2
          | p1 ) ) )
    & ( sP0
      | ( ( p1
          | ~ p2 )
        & ( p2
          | ~ p1 ) ) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( ~ p1
    | p2
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ( p1
    | ~ p2
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f12,plain,
    ( sP0
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    ( sP0
    | ~ p1
    | ~ p2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,plain,
    ( sP0
    | p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f16,plain,
    ( sP0
    | p1
    | ~ p2 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f17,plain,
    ( ~ sP0
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f18,plain,
    ( ~ sP0
    | ~ p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_49,plain,
    ( ~ p1
    | ~ p2
    | sP0 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_50,plain,
    ( sP0
    | p1
    | p2 ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_51,plain,
    ( ~ sP0
    | ~ p2
    | p1 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_52,plain,
    ( ~ sP0
    | ~ p1
    | p2 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_53,negated_conjecture,
    ( ~ sP0
    | ~ p1
    | ~ p2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_54,negated_conjecture,
    ( ~ sP0
    | p1
    | p2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_55,negated_conjecture,
    ( ~ p2
    | sP0
    | p1 ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_56,negated_conjecture,
    ( ~ p1
    | sP0
    | p2 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_57,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_53,c_49,c_51,c_52,c_54,c_55,c_56,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN392+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.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 : Thu May  2 21:01:54 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 0.77/1.21  % SZS status Started for theBenchmark.p
% 0.77/1.21  % SZS status Theorem for theBenchmark.p
% 0.77/1.21  
% 0.77/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.77/1.21  
% 0.77/1.21  ------  iProver source info
% 0.77/1.21  
% 0.77/1.21  git: date: 2024-05-02 19:28:25 +0000
% 0.77/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.77/1.21  git: non_committed_changes: false
% 0.77/1.21  
% 0.77/1.21  ------ Parsing...
% 0.77/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.77/1.21  
% 0.77/1.21  
% 0.77/1.21  ------ Preprocessing...
% 0.77/1.21  
% 0.77/1.21  % SZS status Theorem for theBenchmark.p
% 0.77/1.21  
% 0.77/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.77/1.21  
% 0.77/1.21  
%------------------------------------------------------------------------------