TSTP Solution File: SYN093-1.002 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN093-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 : Wed May 31 12:45:58 EDT 2023

% Result   : Unsatisfiable 0.12s 0.27s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   54 (   4 unt;   0 def)
%            Number of atoms       :  119 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  106 (  41   ~;  53   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   25 (  24 usr;  25 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( u_1
    | ~ p_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ~ u_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ( p_1_2
    | ~ u_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ( u_3
    | p_1_2
    | ~ q_2_2
    | ~ q_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ( p_1_2
    | ~ u_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ( u_5
    | q_1_2
    | ~ q_2_2
    | ~ p_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ( q_1_2
    | ~ u_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ( u_7
    | q_1_1
    | ~ q_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ( q_1_1
    | ~ u_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ( u_10
    | p_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ( p_1_1
    | ~ u_10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ( u_13
    | q_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ( q_2_2
    | ~ u_13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,plain,
    ( u_1
    | ~ p_1_2 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f28,plain,
    ~ u_1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f30,plain,
    ( p_1_2
    | ~ u_2 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f31,plain,
    ( u_3
    | p_1_2
    | ~ q_2_2
    | ~ q_1_1 ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f32,plain,
    ( p_1_2
    | ~ u_3 ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f35,plain,
    ( u_5
    | q_1_2
    | ~ q_2_2
    | ~ p_1_1 ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f36,plain,
    ( q_1_2
    | ~ u_5 ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f39,plain,
    ( u_7
    | q_1_1
    | ~ q_1_2 ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f40,plain,
    ( q_1_1
    | ~ u_7 ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f45,plain,
    ( u_10
    | p_1_1 ),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f46,plain,
    ( p_1_1
    | ~ u_10 ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f51,plain,
    ( u_13
    | q_2_2 ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f52,plain,
    ( q_2_2
    | ~ u_13 ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f53,plain,
    ( spl0_0
  <=> u_1 ),
    introduced(split_symbol_definition) ).

fof(f54,plain,
    ( u_1
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f53]) ).

fof(f56,plain,
    ( spl0_1
  <=> p_1_2 ),
    introduced(split_symbol_definition) ).

fof(f59,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f27,f53,f56]) ).

fof(f60,plain,
    ( spl0_2
  <=> u_2 ),
    introduced(split_symbol_definition) ).

fof(f66,plain,
    ( spl0_4
  <=> p_1_1 ),
    introduced(split_symbol_definition) ).

fof(f70,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f30,f56,f60]) ).

fof(f71,plain,
    ( spl0_5
  <=> u_3 ),
    introduced(split_symbol_definition) ).

fof(f74,plain,
    ( spl0_6
  <=> q_2_2 ),
    introduced(split_symbol_definition) ).

fof(f77,plain,
    ( spl0_7
  <=> q_1_1 ),
    introduced(split_symbol_definition) ).

fof(f80,plain,
    ( spl0_5
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f31,f71,f56,f74,f77]) ).

fof(f81,plain,
    ( spl0_1
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f32,f56,f71]) ).

fof(f85,plain,
    ( spl0_9
  <=> q_1_2 ),
    introduced(split_symbol_definition) ).

fof(f90,plain,
    ( spl0_10
  <=> u_5 ),
    introduced(split_symbol_definition) ).

fof(f93,plain,
    ( spl0_10
    | spl0_9
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f35,f90,f85,f74,f66]) ).

fof(f94,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f36,f85,f90]) ).

fof(f100,plain,
    ( spl0_12
  <=> u_7 ),
    introduced(split_symbol_definition) ).

fof(f103,plain,
    ( spl0_12
    | spl0_7
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f39,f100,f77,f85]) ).

fof(f104,plain,
    ( spl0_7
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f40,f77,f100]) ).

fof(f115,plain,
    ( spl0_15
  <=> u_10 ),
    introduced(split_symbol_definition) ).

fof(f118,plain,
    ( spl0_15
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f45,f115,f66]) ).

fof(f119,plain,
    ( spl0_4
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f46,f66,f115]) ).

fof(f130,plain,
    ( spl0_18
  <=> u_13 ),
    introduced(split_symbol_definition) ).

fof(f133,plain,
    ( spl0_18
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f51,f130,f74]) ).

fof(f134,plain,
    ( spl0_6
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f52,f74,f130]) ).

fof(f135,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f54,f28]) ).

fof(f136,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f135]) ).

fof(f137,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f59,f70,f80,f81,f93,f94,f103,f104,f118,f119,f133,f134,f136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07  % Problem  : SYN093-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.01/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26  % Computer : n003.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit : 300
% 0.08/0.26  % WCLimit  : 300
% 0.08/0.26  % DateTime : Tue May 30 10:25:38 EDT 2023
% 0.08/0.26  % CPUTime  : 
% 0.08/0.26  % Drodi V3.5.1
% 0.12/0.27  % Refutation found
% 0.12/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.27  % Elapsed time: 0.010867 seconds
% 0.12/0.27  % CPU time: 0.015140 seconds
% 0.12/0.27  % Memory used: 1.962 MB
%------------------------------------------------------------------------------