TSTP Solution File: SET454-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET454-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% 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  : 600s
% DateTime : Tue Jul 19 05:01:24 EDT 2022

% Result   : Unsatisfiable 3.65s 0.84s
% Output   : Proof 3.65s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ subclass(identity_relation,cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_alternate_defn1_1)]) ).

cnf(g1,plain,
    sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE(intersection(inverse(subset_relation),subset_relation),identity_relation),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',identity_relation)]) ).

cnf(g3,plain,
    sPE(domain_of(flip(cross_product(subset_relation,universal_class))),inverse(subset_relation)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',inverse)]) ).

cnf(g4,plain,
    ( ~ sPE(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),intersection(inverse(subset_relation),subset_relation))
    | ~ sPE(intersection(inverse(subset_relation),subset_relation),identity_relation)
    | sPE(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),identity_relation) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(domain_of(flip(cross_product(subset_relation,universal_class))),inverse(subset_relation))
    | ~ sPE(intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))),subset_relation)
    | sPE(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),intersection(inverse(subset_relation),subset_relation)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))),subset_relation),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subset_relation)]) ).

cnf(g7,plain,
    ( ~ sPE(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),identity_relation)
    | ~ sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class))
    | ~ subclass(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class))
    | subclass(identity_relation,cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( subclass(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class))
    | member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g9,plain,
    ( ~ member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)),intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))))
    | member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g10,plain,
    ( ~ member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))))
    | member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g11,plain,
    ( ~ member(not_subclass_element(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class))
    | subclass(intersection(domain_of(flip(cross_product(subset_relation,universal_class))),intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation)))))),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SET454-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.12  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n023.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 : Sun Jul 10 17:56:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 3.65/0.84  % symbols: 58
% 3.65/0.84  % clauses: 160
% 3.65/0.84  % start clauses: 1
% 3.65/0.84  % iterative deepening steps: 1170
% 3.65/0.84  % maximum path limit: 5
% 3.65/0.84  % literal attempts: 841555
% 3.65/0.84  % depth failures: 673224
% 3.65/0.84  % regularity failures: 36444
% 3.65/0.84  % tautology failures: 20897
% 3.65/0.84  % reductions: 29014
% 3.65/0.84  % extensions: 812289
% 3.65/0.84  % SAT variables: 157698
% 3.65/0.84  % SAT clauses: 188565
% 3.65/0.84  % WalkSAT solutions: 188559
% 3.65/0.84  % CDCL solutions: 8
% 3.65/0.84  % SZS status Unsatisfiable for theBenchmark
% 3.65/0.84  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------