TSTP Solution File: SEU062+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SEU062+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 : n029.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 11:53:00 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n029.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 : Mon Jun 20 01:38:00 EDT 2022
% 0.13/0.33 % 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 ~subset(sK13,relation_rng(sK14))).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 ~subset(sK13,relation_rng(sK14)),
% 0.13/0.35 inference(start, [], [c0])).
% 0.13/0.35
% 0.13/0.35 cnf(c2, axiom,
% 0.13/0.35 subset(X0,X1) | ~in(sK1(X0,X1),X1)).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 sK13 = X0).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 relation_rng(sK14) = X1).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 ~in(sK1(X0,X1),X1),
% 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 in(X2,relation_rng(X3)) | empty_set = relation_inverse_image(X3,singleton(X2)) | ~relation(X3)).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 sK1(X0,X1) = X2).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 X1 = relation_rng(X3)).
% 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 empty_set = relation_inverse_image(X3,singleton(X2)) | ~relation(X3),
% 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 empty_set != relation_inverse_image(sK14,singleton(X4)) | ~in(X4,sK13)).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 relation_inverse_image(sK14,singleton(X4)) = relation_inverse_image(X3,singleton(X2))).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 empty_set = X5).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 ~relation(X3),
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 ~in(X4,sK13),
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.13/0.35 cnf(c11, plain,
% 0.13/0.35 empty_set != X5,
% 0.13/0.35 inference(strict_subterm_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 empty_set = X5).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(reflexivity, [assumptions([a6])], [c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c13, axiom,
% 0.13/0.35 subset(X6,X7) | in(sK1(X6,X7),X6)).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 X4 = sK1(X6,X7)).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 sK13 = X6).
% 0.13/0.35 cnf(c14, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c13])).
% 0.13/0.35 cnf(c15, plain,
% 0.13/0.35 subset(X6,X7),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c13])).
% 0.13/0.35
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 ~subset(sK13,relation_rng(sK14))).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X6 = sK13).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 X7 = relation_rng(sK14)).
% 0.13/0.35 cnf(c17, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(predicate_reduction, [assumptions([a9, a10])], [c15, c16])).
% 0.13/0.35
% 0.13/0.35 cnf(c18, axiom,
% 0.13/0.35 relation(sK14)).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 X3 = sK14).
% 0.13/0.35 cnf(c19, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11])], [c9, c18])).
% 0.13/0.35 cnf(c20, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11])], [c9, c18])).
% 0.13/0.35
% 0.13/0.35 cnf(c21, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, sK13),
% 0.13/0.35 bind(X1, relation_rng(sK14)),
% 0.13/0.35 bind(X2, sK1(X0,X1)),
% 0.13/0.35 bind(X3, sK14),
% 0.13/0.35 bind(X4, sK1(X0,X1)),
% 0.13/0.35 bind(X5, empty_set),
% 0.13/0.35 bind(X6, sK13),
% 0.13/0.35 bind(X7, relation_rng(sK14))
% 0.13/0.35 ],
% 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
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