TSTP Solution File: SET202-6 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET202-6 : 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 04:59:59 EDT 2022
% Result : Unsatisfiable 3.03s 0.74s
% Output : Proof 3.03s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subclass(cross_product(x,y),cross_product(universal_class,universal_class)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property1_1)]) ).
cnf(g1,plain,
( subclass(cross_product(x,y),cross_product(universal_class,universal_class))
| member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g2,plain,
( ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class))
| subclass(cross_product(x,y),cross_product(universal_class,universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g3,plain,
sPE(cross_product(x,y),cross_product(x,y)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(x,y))
| sPE(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product4)]) ).
cnf(g5,plain,
sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))
| sPE(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))
| ~ sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class))
| ~ member(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),cross_product(universal_class,universal_class))
| member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
subclass(y,universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g9,plain,
( ~ member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)
| ~ member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class)
| member(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),cross_product(universal_class,universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g10,plain,
( ~ sPE(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))))
| ~ sPE(cross_product(x,y),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(x,y))
| member(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),cross_product(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),cross_product(x,y))
| member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).
cnf(g12,plain,
( ~ subclass(y,universal_class)
| ~ member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),y)
| member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g13,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),cross_product(x,y))
| member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product1)]) ).
cnf(g14,plain,
( ~ subclass(x,universal_class)
| ~ member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),x)
| member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g15,plain,
subclass(x,universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET202-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n022.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 15:22:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.03/0.74 % symbols: 60
% 3.03/0.74 % clauses: 160
% 3.03/0.74 % start clauses: 1
% 3.03/0.74 % iterative deepening steps: 676
% 3.03/0.74 % maximum path limit: 5
% 3.03/0.74 % literal attempts: 399371
% 3.03/0.74 % depth failures: 335833
% 3.03/0.74 % regularity failures: 12503
% 3.03/0.74 % tautology failures: 8977
% 3.03/0.74 % reductions: 11214
% 3.03/0.74 % extensions: 388097
% 3.03/0.74 % SAT variables: 138608
% 3.03/0.74 % SAT clauses: 148600
% 3.03/0.74 % WalkSAT solutions: 148595
% 3.03/0.74 % CDCL solutions: 7
% 3.03/0.74 % SZS status Unsatisfiable for theBenchmark
% 3.03/0.74 % SZS output start ListOfCNF for theBenchmark
% See solution above
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