TSTP Solution File: SYN044+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 03:04:49 EDT 2023

% Result   : Theorem 0.70s 1.17s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   1 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   51 (  19   ~;  23   |;   3   &)
%                                         (   2 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   3 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,axiom,
    ( q
   => r ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_1) ).

fof(f2,axiom,
    ( r
   => ( q
      & p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_2) ).

fof(f3,axiom,
    ( p
   => ( r
      | q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_3) ).

fof(f4,conjecture,
    ( p
  <=> q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10) ).

fof(f5,negated_conjecture,
    ~ ( p
    <=> q ),
    inference(negated_conjecture,[],[f4]) ).

fof(f6,plain,
    ( r
    | ~ q ),
    inference(ennf_transformation,[],[f1]) ).

fof(f7,plain,
    ( ( q
      & p )
    | ~ r ),
    inference(ennf_transformation,[],[f2]) ).

fof(f8,plain,
    ( r
    | q
    | ~ p ),
    inference(ennf_transformation,[],[f3]) ).

fof(f9,plain,
    ( r
    | q
    | ~ p ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    ( p
  <~> q ),
    inference(ennf_transformation,[],[f5]) ).

fof(f11,plain,
    ( ( ~ q
      | ~ p )
    & ( q
      | p ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f12,plain,
    ( r
    | ~ q ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( p
    | ~ r ),
    inference(cnf_transformation,[],[f7]) ).

fof(f14,plain,
    ( q
    | ~ r ),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,plain,
    ( r
    | q
    | ~ p ),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    ( q
    | p ),
    inference(cnf_transformation,[],[f11]) ).

fof(f17,plain,
    ( ~ q
    | ~ p ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_49,plain,
    ( ~ q
    | r ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_50,plain,
    ( ~ r
    | q ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_51,plain,
    ( ~ r
    | p ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_52,plain,
    ( ~ p
    | r
    | q ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_53,negated_conjecture,
    ( ~ q
    | ~ p ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_54,negated_conjecture,
    ( q
    | p ),
    inference(cnf_transformation,[],[f16]) ).

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 19:40:58 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.70/1.17  % SZS status Started for theBenchmark.p
% 0.70/1.17  % SZS status Theorem for theBenchmark.p
% 0.70/1.17  
% 0.70/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.70/1.17  
% 0.70/1.17  ------  iProver source info
% 0.70/1.17  
% 0.70/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.70/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.70/1.17  git: non_committed_changes: false
% 0.70/1.17  git: last_make_outside_of_git: false
% 0.70/1.17  
% 0.70/1.17  ------ Parsing...
% 0.70/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.70/1.17  
% 0.70/1.17  
% 0.70/1.17  ------ Preprocessing...
% 0.70/1.17  
% 0.70/1.17  % SZS status Theorem for theBenchmark.p
% 0.70/1.17  
% 0.70/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.70/1.17  
% 0.70/1.17  
%------------------------------------------------------------------------------