TSTP Solution File: SET214-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET214-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n010.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 05:00:04 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subclass(cross_product(intersection(x,y),z),cross_product(x,z)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_5_to_X_product_monotonicity_1)]) ).
cnf(g1,plain,
( ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(x,z))
| subclass(cross_product(intersection(x,y),z),cross_product(x,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g2,plain,
( subclass(cross_product(intersection(x,y),z),cross_product(x,z))
| member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(intersection(x,y),z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(intersection(x,y),z))
| sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product4)]) ).
cnf(g4,plain,
sPE(cross_product(x,z),cross_product(x,z)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(cross_product(intersection(x,y),z),cross_product(intersection(x,y),z)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))
| sPE(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))
| ~ sPE(cross_product(x,z),cross_product(x,z))
| ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),cross_product(x,z))
| member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(x,z)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))))
| ~ sPE(cross_product(intersection(x,y),z),cross_product(intersection(x,y),z))
| ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(intersection(x,y),z))
| member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),cross_product(intersection(x,y),z)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),cross_product(intersection(x,y),z))
| member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),intersection(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product1)]) ).
cnf(g10,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),intersection(x,y))
| member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g11,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),cross_product(intersection(x,y),z))
| member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),z) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).
cnf(g12,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),x)
| ~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),z)
| member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)))),cross_product(x,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET214-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 01:49:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % symbols: 61
% 0.19/0.51 % clauses: 160
% 0.19/0.51 % start clauses: 1
% 0.19/0.51 % iterative deepening steps: 364
% 0.19/0.51 % maximum path limit: 4
% 0.19/0.51 % literal attempts: 141705
% 0.19/0.51 % depth failures: 109164
% 0.19/0.51 % regularity failures: 5199
% 0.19/0.51 % tautology failures: 3551
% 0.19/0.51 % reductions: 13385
% 0.19/0.51 % extensions: 128132
% 0.19/0.51 % SAT variables: 41064
% 0.19/0.51 % SAT clauses: 40847
% 0.19/0.51 % WalkSAT solutions: 40842
% 0.19/0.51 % CDCL solutions: 3
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start ListOfCNF for theBenchmark
% See solution above
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