TSTP Solution File: SET235-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n022.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 05:00:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    subclass(x,cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_1)]) ).

cnf(g1,plain,
    ~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_2)]) ).

cnf(g2,plain,
    ~ subclass(x,y),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property10_3)]) ).

cnf(g3,plain,
    ( ~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),universal_class)
    | member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x)
    | member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),complement(x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g4,plain,
    ( subclass(x,y)
    | member(not_subclass_element(x,y),x) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g5,plain,
    member(unordered_pair(singleton(first(not_subclass_element(x,y))),unordered_pair(first(not_subclass_element(x,y)),singleton(second(not_subclass_element(x,y))))),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).

cnf(g6,plain,
    sPE(unordered_pair(singleton(first(not_subclass_element(x,y))),unordered_pair(first(not_subclass_element(x,y)),singleton(second(not_subclass_element(x,y))))),ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y)))),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',ordered_pair)]) ).

cnf(g7,plain,
    ( ~ member(not_subclass_element(x,y),x)
    | ~ member(not_subclass_element(x,y),complement(x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g8,plain,
    ( ~ subclass(x,cross_product(universal_class,universal_class))
    | ~ member(not_subclass_element(x,y),x)
    | member(not_subclass_element(x,y),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g9,plain,
    ( ~ sPE(unordered_pair(singleton(first(not_subclass_element(x,y))),unordered_pair(first(not_subclass_element(x,y)),singleton(second(not_subclass_element(x,y))))),ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))))
    | ~ sPE(universal_class,universal_class)
    | ~ member(unordered_pair(singleton(first(not_subclass_element(x,y))),unordered_pair(first(not_subclass_element(x,y)),singleton(second(not_subclass_element(x,y))))),universal_class)
    | member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),universal_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(universal_class,universal_class),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ member(not_subclass_element(x,y),cross_product(universal_class,universal_class))
    | sPE(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),not_subclass_element(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product4)]) ).

cnf(g12,plain,
    sPE(complement(x),complement(x)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),not_subclass_element(x,y))
    | ~ sPE(complement(x),complement(x))
    | ~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),complement(x))
    | member(not_subclass_element(x,y),complement(x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.12  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 03:04:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.37  % symbols: 60
% 0.19/0.37  % clauses: 162
% 0.19/0.37  % start clauses: 3
% 0.19/0.37  % iterative deepening steps: 137
% 0.19/0.37  % maximum path limit: 3
% 0.19/0.37  % literal attempts: 41958
% 0.19/0.37  % depth failures: 34277
% 0.19/0.37  % regularity failures: 1296
% 0.19/0.37  % tautology failures: 579
% 0.19/0.37  % reductions: 1339
% 0.19/0.37  % extensions: 40362
% 0.19/0.37  % SAT variables: 13773
% 0.19/0.37  % SAT clauses: 14760
% 0.19/0.37  % WalkSAT solutions: 14761
% 0.19/0.37  % CDCL solutions: 0
% 0.19/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.37  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------