TSTP Solution File: SET223-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET223-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n007.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 05:00:07 EDT 2022
% Result : Unsatisfiable 3.42s 0.82s
% Output : Proof 3.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subclass(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property5_1)]) ).
cnf(g1,plain,
( ~ member(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),cross_product(w,z))
| subclass(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g2,plain,
( subclass(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))
| member(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),cross_product(intersection(w,y),intersection(x,z))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),cross_product(intersection(w,y),intersection(x,z)))
| sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product4)]) ).
cnf(g4,plain,
sPE(cross_product(w,z),cross_product(w,z)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(cross_product(intersection(w,y),intersection(x,z)),cross_product(intersection(w,y),intersection(x,z))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))
| sPE(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))
| ~ sPE(cross_product(w,z),cross_product(w,z))
| ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),cross_product(w,z))
| member(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),cross_product(w,z)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),w)
| ~ member(second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),z)
| member(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),cross_product(w,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g9,plain,
( ~ sPE(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))))
| ~ sPE(cross_product(intersection(w,y),intersection(x,z)),cross_product(intersection(w,y),intersection(x,z)))
| ~ member(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)),cross_product(intersection(w,y),intersection(x,z)))
| member(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),cross_product(intersection(w,y),intersection(x,z))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),cross_product(intersection(w,y),intersection(x,z)))
| member(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),intersection(w,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product1)]) ).
cnf(g11,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),intersection(w,y))
| member(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),w) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g12,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z)))),cross_product(intersection(w,y),intersection(x,z)))
| member(second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),intersection(x,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).
cnf(g13,plain,
( ~ member(second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),intersection(x,z))
| member(second(not_subclass_element(cross_product(intersection(w,y),intersection(x,z)),cross_product(w,z))),z) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET223-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 17:12:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.42/0.82 % symbols: 62
% 3.42/0.82 % clauses: 160
% 3.42/0.82 % start clauses: 1
% 3.42/0.82 % iterative deepening steps: 683
% 3.42/0.82 % maximum path limit: 4
% 3.42/0.82 % literal attempts: 478948
% 3.42/0.82 % depth failures: 398087
% 3.42/0.82 % regularity failures: 13514
% 3.42/0.82 % tautology failures: 10372
% 3.42/0.82 % reductions: 26190
% 3.42/0.82 % extensions: 452577
% 3.42/0.82 % SAT variables: 123519
% 3.42/0.82 % SAT clauses: 125598
% 3.42/0.82 % WalkSAT solutions: 125589
% 3.42/0.82 % CDCL solutions: 8
% 3.42/0.82 % SZS status Unsatisfiable for theBenchmark
% 3.42/0.82 % SZS output start ListOfCNF for theBenchmark
% See solution above
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