TSTP Solution File: SET978+1 by lazyCoP---0.1
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% File : lazyCoP---0.1
% Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n014.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 02:49:34 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 16:02:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % SZS status Theorem
% 0.13/0.35 % SZS output begin IncompleteProof
% 0.13/0.35 cnf(c0, axiom,
% 0.13/0.35 ~disjoint(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK5,singleton(sK3))) | ~disjoint(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK5))).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 ~disjoint(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK5,singleton(sK3))) | ~disjoint(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK5)),
% 0.13/0.35 inference(start, [], [c0])).
% 0.13/0.35
% 0.13/0.35 cnf(c2, axiom,
% 0.13/0.35 disjoint(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) | ~disjoint(X1,X3)).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 cartesian_product2(sK4,singleton(sK2)) = cartesian_product2(X0,X1)).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 cartesian_product2(sK5,singleton(sK3)) = cartesian_product2(X2,X3)).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 ~disjoint(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK5)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 ~disjoint(X1,X3),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.35
% 0.13/0.35 cnf(c5, axiom,
% 0.13/0.35 disjoint(singleton(X4),singleton(X5)) | X4 = X5).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 X1 = singleton(X4)).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 X3 = singleton(X5)).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.13/0.35 cnf(c7, plain,
% 0.13/0.35 X4 = X5,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.13/0.35
% 0.13/0.35 cnf(c8, axiom,
% 0.13/0.35 sK2 != sK3).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 sK3 = X5).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a4])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a4])], [c7, c8])).
% 0.13/0.35 cnf(c11, plain,
% 0.13/0.35 sK2 != X4,
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a4])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 sK2 = X4).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(reflexivity, [assumptions([a5])], [c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c13, axiom,
% 0.13/0.35 disjoint(cartesian_product2(X6,X7),cartesian_product2(X8,X9)) | ~disjoint(X6,X8)).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 cartesian_product2(singleton(sK2),sK4) = cartesian_product2(X6,X7)).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 cartesian_product2(singleton(sK3),sK5) = cartesian_product2(X8,X9)).
% 0.13/0.35 cnf(c14, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7])], [c3, c13])).
% 0.13/0.35 cnf(c15, plain,
% 0.13/0.35 ~disjoint(X6,X8),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7])], [c3, c13])).
% 0.13/0.35
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 disjoint(X1,X3)).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 X6 = X1).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X8 = X3).
% 0.13/0.35 cnf(c17, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(predicate_reduction, [assumptions([a8, a9])], [c15, c16])).
% 0.13/0.35
% 0.13/0.35 cnf(c18, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, sK4),
% 0.13/0.35 bind(X1, singleton(sK2)),
% 0.13/0.35 bind(X2, sK5),
% 0.13/0.35 bind(X3, singleton(sK3)),
% 0.13/0.35 bind(X4, sK2),
% 0.13/0.35 bind(X5, sK3),
% 0.13/0.35 bind(X6, singleton(sK2)),
% 0.13/0.35 bind(X7, sK4),
% 0.13/0.35 bind(X8, singleton(sK3)),
% 0.13/0.35 bind(X9, sK5)
% 0.13/0.35 ],
% 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
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