TSTP Solution File: SET506-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n009.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  : 600s
% DateTime : Tue Jul 19 05:01:40 EDT 2022

% Result   : Unsatisfiable 13.59s 2.08s
% Output   : Proof 13.59s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE(universal_class,null_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1)]) ).

cnf(g1,plain,
    ( ~ sPE(universal_class,null_class)
    | subclass(universal_class,null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).

cnf(g2,plain,
    ( ~ sPE(null_class,null_class)
    | ~ sPE(universal_class,null_class)
    | sPE(unordered_pair(null_class,universal_class),unordered_pair(null_class,null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    ( ~ sPE(null_class,universal_class)
    | ~ sPE(universal_class,null_class)
    | sPE(null_class,null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ sPE(universal_class,null_class)
    | sPE(complement(universal_class),complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(universal_class,null_class)
    | sPE(null_class,universal_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ sPE(complement(universal_class),complement(null_class))
    | sPE(regular(complement(universal_class)),regular(complement(null_class))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(null_class,null_class)
    | ~ sPE(complement(universal_class),complement(null_class))
    | ~ member(null_class,complement(universal_class))
    | member(null_class,complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(null_class,null_class)
    | ~ sPE(null_class,universal_class)
    | sPE(unordered_pair(null_class,null_class),unordered_pair(null_class,universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(unordered_pair(null_class,universal_class),unordered_pair(null_class,null_class))
    | sPE(regular(unordered_pair(null_class,universal_class)),regular(unordered_pair(null_class,null_class))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ member(null_class,null_class)
    | ~ member(null_class,complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g11,plain,
    member(unordered_pair(null_class,null_class),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).

cnf(g12,plain,
    ( sPE(unordered_pair(null_class,null_class),null_class)
    | member(regular(unordered_pair(null_class,null_class)),unordered_pair(null_class,null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).

cnf(g13,plain,
    ( ~ subclass(unordered_pair(null_class,null_class),null_class)
    | ~ member(null_class,unordered_pair(null_class,null_class))
    | member(null_class,null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g14,plain,
    ( ~ sPE(complement(universal_class),complement(null_class))
    | ~ sPE(universal_class,null_class)
    | ~ subclass(complement(universal_class),universal_class)
    | subclass(complement(null_class),null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    subclass(complement(universal_class),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g16,plain,
    ( ~ sPE(complement(universal_class),null_class)
    | sPE(null_class,complement(universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( sPE(complement(universal_class),null_class)
    | member(regular(complement(universal_class)),complement(universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).

cnf(g18,plain,
    ( ~ subclass(universal_class,null_class)
    | ~ member(unordered_pair(null_class,null_class),universal_class)
    | member(unordered_pair(null_class,null_class),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g19,plain,
    ( ~ sPE(unordered_pair(null_class,null_class),null_class)
    | ~ sPE(null_class,null_class)
    | ~ member(unordered_pair(null_class,null_class),null_class)
    | member(null_class,null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(null_class,null_class)
    | ~ sPE(null_class,complement(universal_class))
    | ~ member(null_class,null_class)
    | member(null_class,complement(universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(regular(complement(universal_class)),regular(complement(null_class)))
    | ~ sPE(complement(universal_class),complement(null_class))
    | ~ member(regular(complement(universal_class)),complement(universal_class))
    | member(regular(complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ subclass(complement(null_class),null_class)
    | ~ member(regular(complement(null_class)),complement(null_class))
    | member(regular(complement(null_class)),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g23,plain,
    ( ~ member(regular(complement(null_class)),null_class)
    | ~ member(regular(complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g24,plain,
    ( ~ sPE(unordered_pair(null_class,null_class),unordered_pair(null_class,universal_class))
    | ~ sPE(unordered_pair(null_class,universal_class),null_class)
    | sPE(unordered_pair(null_class,null_class),null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(regular(unordered_pair(null_class,universal_class)),null_class)
    | ~ sPE(unordered_pair(null_class,universal_class),unordered_pair(null_class,null_class))
    | ~ member(regular(unordered_pair(null_class,universal_class)),unordered_pair(null_class,universal_class))
    | member(null_class,unordered_pair(null_class,null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( sPE(unordered_pair(null_class,universal_class),null_class)
    | member(regular(unordered_pair(null_class,universal_class)),unordered_pair(null_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).

cnf(g27,plain,
    ( ~ member(regular(unordered_pair(null_class,null_class)),unordered_pair(null_class,null_class))
    | sPE(regular(unordered_pair(null_class,null_class)),null_class)
    | sPE(regular(unordered_pair(null_class,null_class)),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g28,plain,
    ( ~ sPE(regular(unordered_pair(null_class,universal_class)),regular(unordered_pair(null_class,null_class)))
    | ~ sPE(regular(unordered_pair(null_class,null_class)),null_class)
    | sPE(regular(unordered_pair(null_class,universal_class)),null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ sPE(unordered_pair(null_class,universal_class),unordered_pair(null_class,null_class))
    | ~ sPE(universal_class,null_class)
    | ~ subclass(unordered_pair(null_class,universal_class),universal_class)
    | subclass(unordered_pair(null_class,null_class),null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    subclass(unordered_pair(null_class,universal_class),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n009.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  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 09:42:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 13.59/2.08  % symbols: 58
% 13.59/2.08  % clauses: 160
% 13.59/2.08  % start clauses: 1
% 13.59/2.08  % iterative deepening steps: 434
% 13.59/2.08  % maximum path limit: 3
% 13.59/2.08  % literal attempts: 1165185
% 13.59/2.08  % depth failures: 1137388
% 13.59/2.08  % regularity failures: 1414
% 13.59/2.08  % tautology failures: 2517
% 13.59/2.08  % reductions: 2190
% 13.59/2.08  % extensions: 1162938
% 13.59/2.08  % SAT variables: 795977
% 13.59/2.08  % SAT clauses: 681780
% 13.59/2.08  % WalkSAT solutions: 681771
% 13.59/2.08  % CDCL solutions: 4
% 13.59/2.08  % SZS status Unsatisfiable for theBenchmark
% 13.59/2.08  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------