TSTP Solution File: SET165-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET165-6 : 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 04:59:37 EDT 2022
% Result : Unsatisfiable 18.17s 2.75s
% Output : Proof 18.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(union(x,union(x,y)),union(x,y)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_idempotency_of_union_1)]) ).
cnf(g1,plain,
( ~ sPE(union(x,y),union(x,union(x,y)))
| sPE(union(x,union(x,y)),union(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ subclass(union(x,y),union(x,union(x,y)))
| ~ subclass(union(x,union(x,y)),union(x,y))
| sPE(union(x,y),union(x,union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g3,plain,
sPE(complement(intersection(complement(x),complement(y))),union(x,y)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).
cnf(g4,plain,
( subclass(union(x,y),union(x,union(x,y)))
| member(not_subclass_element(union(x,y),union(x,union(x,y))),union(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g5,plain,
( ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),union(x,union(x,y)))
| subclass(union(x,y),union(x,union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g6,plain,
( ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),union(x,y))
| subclass(union(x,union(x,y)),union(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g7,plain,
( subclass(union(x,union(x,y)),union(x,y))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),union(x,union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g8,plain,
( ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),union(x,y))
| ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),complement(union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g9,plain,
sPE(complement(intersection(complement(x),complement(union(x,y)))),union(x,union(x,y))),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).
cnf(g10,plain,
( ~ sPE(complement(intersection(complement(x),complement(union(x,y)))),union(x,union(x,y)))
| sPE(union(x,union(x,y)),complement(intersection(complement(x),complement(union(x,y))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
subclass(union(x,y),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g12,plain,
subclass(union(x,union(x,y)),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g13,plain,
( ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),universal_class)
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),union(x,y))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g14,plain,
( ~ subclass(union(x,y),universal_class)
| ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),union(x,y))
| member(not_subclass_element(union(x,y),union(x,union(x,y))),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g15,plain,
( ~ subclass(union(x,union(x,y)),universal_class)
| ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),union(x,union(x,y)))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g16,plain,
( ~ sPE(union(x,union(x,y)),complement(intersection(complement(x),complement(union(x,y)))))
| subclass(complement(intersection(complement(x),complement(union(x,y)))),union(x,union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g17,plain,
sPE(not_subclass_element(union(x,union(x,y)),union(x,y)),not_subclass_element(union(x,union(x,y)),union(x,y))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ sPE(not_subclass_element(union(x,union(x,y)),union(x,y)),not_subclass_element(union(x,union(x,y)),union(x,y)))
| ~ sPE(complement(intersection(complement(x),complement(y))),union(x,y))
| ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),union(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),universal_class)
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),intersection(complement(x),complement(y)))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(intersection(complement(x),complement(y)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g20,plain,
( ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),universal_class)
| member(not_subclass_element(union(x,y),union(x,union(x,y))),intersection(complement(x),complement(union(x,y))))
| member(not_subclass_element(union(x,y),union(x,union(x,y))),complement(intersection(complement(x),complement(union(x,y))))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g21,plain,
( ~ subclass(complement(intersection(complement(x),complement(union(x,y)))),union(x,union(x,y)))
| ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),complement(intersection(complement(x),complement(union(x,y)))))
| member(not_subclass_element(union(x,y),union(x,union(x,y))),union(x,union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g22,plain,
( ~ member(not_subclass_element(union(x,y),union(x,union(x,y))),intersection(complement(x),complement(union(x,y))))
| member(not_subclass_element(union(x,y),union(x,union(x,y))),complement(union(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).
cnf(g23,plain,
( ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),intersection(complement(x),complement(y)))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g24,plain,
( ~ sPE(not_subclass_element(union(x,union(x,y)),union(x,y)),not_subclass_element(union(x,union(x,y)),union(x,y)))
| ~ sPE(union(x,union(x,y)),complement(intersection(complement(x),complement(union(x,y)))))
| ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),union(x,union(x,y)))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(intersection(complement(x),complement(union(x,y))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),intersection(complement(x),complement(union(x,y))))
| ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(intersection(complement(x),complement(union(x,y))))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g26,plain,
( ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(x))
| ~ member(not_subclass_element(union(x,union(x,y)),union(x,y)),complement(union(x,y)))
| member(not_subclass_element(union(x,union(x,y)),union(x,y)),intersection(complement(x),complement(union(x,y)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET165-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n023.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 20:53:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 18.17/2.75 % symbols: 60
% 18.17/2.75 % clauses: 160
% 18.17/2.75 % start clauses: 1
% 18.17/2.75 % iterative deepening steps: 2212
% 18.17/2.75 % maximum path limit: 5
% 18.17/2.75 % literal attempts: 4198289
% 18.17/2.75 % depth failures: 3474972
% 18.17/2.75 % regularity failures: 160813
% 18.17/2.75 % tautology failures: 104859
% 18.17/2.75 % reductions: 82446
% 18.17/2.75 % extensions: 4114964
% 18.17/2.75 % SAT variables: 421870
% 18.17/2.75 % SAT clauses: 523764
% 18.17/2.75 % WalkSAT solutions: 523752
% 18.17/2.75 % CDCL solutions: 8
% 18.17/2.75 % SZS status Unsatisfiable for theBenchmark
% 18.17/2.75 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------