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