TSTP Solution File: SET174-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET174-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n011.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 04:59:44 EDT 2022
% Result : Unsatisfiable 204.06s 26.03s
% Output : Proof 204.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(intersection(x,intersection(y,union(x,z))),intersection(x,y)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_absorbtion_for_intersection_1)]) ).
cnf(g1,plain,
( ~ sPE(intersection(x,y),intersection(x,intersection(y,union(x,z))))
| sPE(intersection(x,intersection(y,union(x,z))),intersection(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( subclass(intersection(x,y),intersection(x,intersection(y,union(x,z))))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(x,intersection(y,union(x,z))))
| subclass(intersection(x,y),intersection(x,intersection(y,union(x,z)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g4,plain,
( ~ subclass(intersection(x,y),intersection(x,intersection(y,union(x,z))))
| ~ subclass(intersection(x,intersection(y,union(x,z))),intersection(x,y))
| sPE(intersection(x,y),intersection(x,intersection(y,union(x,z)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g5,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(x,y))
| subclass(intersection(x,intersection(y,union(x,z))),intersection(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g6,plain,
( subclass(intersection(x,intersection(y,union(x,z))),intersection(x,y))
| member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(x,intersection(y,union(x,z)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g7,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).
cnf(g8,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g9,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(x,intersection(y,union(x,z))))
| member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g10,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(x,intersection(y,union(x,z))))
| member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(y,union(x,z))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).
cnf(g11,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),x)
| ~ member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),y)
| member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).
cnf(g12,plain,
subclass(intersection(x,y),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g13,plain,
( ~ subclass(intersection(x,y),universal_class)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g14,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(y,union(x,z)))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(x,intersection(y,union(x,z)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).
cnf(g15,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g16,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),y)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),union(x,z))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(y,union(x,z))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).
cnf(g17,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),intersection(y,union(x,z)))
| member(not_subclass_element(intersection(x,intersection(y,union(x,z))),intersection(x,y)),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g18,plain,
sPE(complement(intersection(complement(x),complement(z))),union(x,z)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).
cnf(g19,plain,
( ~ subclass(complement(intersection(complement(x),complement(z))),union(x,z))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),complement(intersection(complement(x),complement(z))))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),union(x,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g20,plain,
( ~ sPE(complement(intersection(complement(x),complement(z))),union(x,z))
| subclass(complement(intersection(complement(x),complement(z))),union(x,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).
cnf(g21,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),universal_class)
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(complement(x),complement(z)))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),complement(intersection(complement(x),complement(z)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g22,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),intersection(complement(x),complement(z)))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,union(x,z)))),complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET174-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n011.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 14:44:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 204.06/26.03 % symbols: 61
% 204.06/26.03 % clauses: 160
% 204.06/26.03 % start clauses: 1
% 204.06/26.03 % iterative deepening steps: 4661
% 204.06/26.03 % maximum path limit: 7
% 204.06/26.03 % literal attempts: 6530205
% 204.06/26.03 % depth failures: 5409704
% 204.06/26.03 % regularity failures: 261416
% 204.06/26.03 % tautology failures: 130781
% 204.06/26.03 % reductions: 140776
% 204.06/26.03 % extensions: 6389073
% 204.06/26.03 % SAT variables: 1797506
% 204.06/26.03 % SAT clauses: 2155848
% 204.06/26.03 % WalkSAT solutions: 2155197
% 204.06/26.03 % CDCL solutions: 643
% 204.06/26.03 % SZS status Unsatisfiable for theBenchmark
% 204.06/26.03 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------