TSTP Solution File: SET002-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET002-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n008.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 04:57:09 EDT 2022
% Result : Unsatisfiable 9.79s 1.66s
% Output : Proof 9.79s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(union(x,x),x),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotency_of_union_1)]) ).
cnf(g1,plain,
( ~ sPE(x,union(x,x))
| sPE(union(x,x),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ subclass(x,union(x,x))
| ~ subclass(union(x,x),x)
| sPE(x,union(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(x,union(x,x)),union(x,x))
| subclass(x,union(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g4,plain,
( subclass(x,union(x,x))
| member(not_subclass_element(x,union(x,x)),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g5,plain,
sPE(complement(intersection(complement(x),complement(x))),union(x,x)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).
cnf(g6,plain,
( subclass(union(x,x),x)
| member(not_subclass_element(union(x,x),x),union(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g7,plain,
( ~ member(not_subclass_element(x,union(x,x)),x)
| ~ member(not_subclass_element(x,union(x,x)),complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g8,plain,
( ~ member(not_subclass_element(union(x,x),x),x)
| subclass(union(x,x),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g9,plain,
subclass(union(x,x),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g10,plain,
( ~ member(not_subclass_element(union(x,x),x),universal_class)
| member(not_subclass_element(union(x,x),x),x)
| member(not_subclass_element(union(x,x),x),complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g11,plain,
( ~ subclass(x,universal_class)
| ~ member(not_subclass_element(x,union(x,x)),x)
| member(not_subclass_element(x,union(x,x)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g12,plain,
( ~ subclass(union(x,x),universal_class)
| ~ member(not_subclass_element(union(x,x),x),union(x,x))
| member(not_subclass_element(union(x,x),x),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g13,plain,
( ~ member(not_subclass_element(union(x,x),x),complement(x))
| ~ member(not_subclass_element(union(x,x),x),complement(x))
| member(not_subclass_element(union(x,x),x),intersection(complement(x),complement(x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).
cnf(g14,plain,
subclass(x,universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g15,plain,
( ~ sPE(complement(intersection(complement(x),complement(x))),union(x,x))
| subclass(complement(intersection(complement(x),complement(x))),union(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).
cnf(g16,plain,
( ~ member(not_subclass_element(x,union(x,x)),universal_class)
| member(not_subclass_element(x,union(x,x)),intersection(complement(x),complement(x)))
| member(not_subclass_element(x,union(x,x)),complement(intersection(complement(x),complement(x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g17,plain,
( ~ sPE(complement(intersection(complement(x),complement(x))),union(x,x))
| subclass(union(x,x),complement(intersection(complement(x),complement(x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g18,plain,
( ~ subclass(complement(intersection(complement(x),complement(x))),union(x,x))
| ~ member(not_subclass_element(x,union(x,x)),complement(intersection(complement(x),complement(x))))
| member(not_subclass_element(x,union(x,x)),union(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g19,plain,
( ~ subclass(union(x,x),complement(intersection(complement(x),complement(x))))
| ~ member(not_subclass_element(union(x,x),x),union(x,x))
| member(not_subclass_element(union(x,x),x),complement(intersection(complement(x),complement(x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g20,plain,
( ~ member(not_subclass_element(union(x,x),x),intersection(complement(x),complement(x)))
| ~ member(not_subclass_element(union(x,x),x),complement(intersection(complement(x),complement(x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g21,plain,
( ~ member(not_subclass_element(x,union(x,x)),intersection(complement(x),complement(x)))
| member(not_subclass_element(x,union(x,x)),complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET002-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n008.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 : Sun Jul 10 23:14:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.79/1.66 % symbols: 59
% 9.79/1.66 % clauses: 160
% 9.79/1.66 % start clauses: 1
% 9.79/1.66 % iterative deepening steps: 1290
% 9.79/1.66 % maximum path limit: 7
% 9.79/1.66 % literal attempts: 2073935
% 9.79/1.66 % depth failures: 1710798
% 9.79/1.66 % regularity failures: 82840
% 9.79/1.66 % tautology failures: 41631
% 9.79/1.66 % reductions: 43022
% 9.79/1.66 % extensions: 2030473
% 9.79/1.66 % SAT variables: 267616
% 9.79/1.66 % SAT clauses: 320306
% 9.79/1.66 % WalkSAT solutions: 320273
% 9.79/1.66 % CDCL solutions: 27
% 9.79/1.66 % SZS status Unsatisfiable for theBenchmark
% 9.79/1.66 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------