TSTP Solution File: SET215-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET215-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n025.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 2.88s 0.70s
% Output : Proof 2.88s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subclass(cross_product(intersection(x,y),z),cross_product(y,z)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_6_to_X_product_monotonicity_1)]) ).
cnf(g1,plain,
( subclass(cross_product(intersection(x,y),z),cross_product(y,z))
| member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(intersection(x,y),z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g2,plain,
( ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(y,z))
| subclass(cross_product(intersection(x,y),z),cross_product(y,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g3,plain,
sPE(cross_product(intersection(x,y),z),cross_product(intersection(x,y),z)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(intersection(x,y),z))
| sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product4)]) ).
cnf(g5,plain,
sPE(cross_product(y,z),cross_product(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(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))
| sPE(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))
| ~ sPE(cross_product(y,z),cross_product(y,z))
| ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),cross_product(y,z))
| member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(y,z)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,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(y,z)),cross_product(intersection(x,y),z))
| member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,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(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),cross_product(intersection(x,y),z))
| member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).
cnf(g10,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),cross_product(intersection(x,y),z))
| member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),intersection(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product1)]) ).
cnf(g11,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),intersection(x,y))
| member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).
cnf(g12,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y)
| ~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z)
| member(ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))),cross_product(y,z)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET215-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n025.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 17:07:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.88/0.70 % symbols: 61
% 2.88/0.70 % clauses: 160
% 2.88/0.70 % start clauses: 1
% 2.88/0.70 % iterative deepening steps: 573
% 2.88/0.70 % maximum path limit: 4
% 2.88/0.70 % literal attempts: 359955
% 2.88/0.70 % depth failures: 292089
% 2.88/0.70 % regularity failures: 10439
% 2.88/0.70 % tautology failures: 8073
% 2.88/0.70 % reductions: 26600
% 2.88/0.70 % extensions: 333193
% 2.88/0.70 % SAT variables: 104551
% 2.88/0.70 % SAT clauses: 103341
% 2.88/0.70 % WalkSAT solutions: 103334
% 2.88/0.70 % CDCL solutions: 5
% 2.88/0.70 % SZS status Unsatisfiable for theBenchmark
% 2.88/0.70 % SZS output start ListOfCNF for theBenchmark
% See solution above
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