TSTP Solution File: SEU320+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n022.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 11:55:02 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n022.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 : Mon Jun 20 11:19:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output begin IncompleteProof
% 0.19/0.39 cnf(c0, axiom,
% 0.19/0.39 top_str(sK3)).
% 0.19/0.39 cnf(c1, plain,
% 0.19/0.39 top_str(sK3),
% 0.19/0.39 inference(start, [], [c0])).
% 0.19/0.39
% 0.19/0.39 cnf(c2, axiom,
% 0.19/0.39 closed_subset(X0,X1) | ~open_subset(subset_complement(the_carrier(X1),X0),X1) | ~element(X0,powerset(the_carrier(X1))) | ~top_str(X1)).
% 0.19/0.39 cnf(a0, assumption,
% 0.19/0.39 sK3 = X1).
% 0.19/0.39 cnf(c3, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.39 cnf(c4, plain,
% 0.19/0.39 closed_subset(X0,X1) | ~open_subset(subset_complement(the_carrier(X1),X0),X1) | ~element(X0,powerset(the_carrier(X1))),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.39
% 0.19/0.39 cnf(c5, axiom,
% 0.19/0.39 ~closed_subset(subset_complement(the_carrier(sK3),sK4),sK3) | ~open_subset(sK4,sK3)).
% 0.19/0.39 cnf(a1, assumption,
% 0.19/0.39 X0 = subset_complement(the_carrier(sK3),sK4)).
% 0.19/0.39 cnf(a2, assumption,
% 0.19/0.39 X1 = sK3).
% 0.19/0.39 cnf(c6, plain,
% 0.19/0.39 ~open_subset(subset_complement(the_carrier(X1),X0),X1) | ~element(X0,powerset(the_carrier(X1))),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])).
% 0.19/0.39 cnf(c7, plain,
% 0.19/0.39 ~open_subset(sK4,sK3),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])).
% 0.19/0.39
% 0.19/0.39 cnf(c8, axiom,
% 0.19/0.39 open_subset(subset_complement(the_carrier(X2),X3),X2) | ~closed_subset(X3,X2) | ~element(X3,powerset(the_carrier(X2))) | ~top_str(X2)).
% 0.19/0.39 cnf(a3, assumption,
% 0.19/0.39 X4 = sK4).
% 0.19/0.39 cnf(a4, assumption,
% 0.19/0.39 X5 = sK3).
% 0.19/0.39 cnf(c9, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(lazy_predicate_extension, [assumptions([a3, a4])], [c7, c8])).
% 0.19/0.39 cnf(c10, plain,
% 0.19/0.39 ~closed_subset(X3,X2) | ~element(X3,powerset(the_carrier(X2))) | ~top_str(X2),
% 0.19/0.39 inference(lazy_predicate_extension, [assumptions([a3, a4])], [c7, c8])).
% 0.19/0.39 cnf(c11, plain,
% 0.19/0.39 subset_complement(the_carrier(X2),X3) != X4 | X2 != X5,
% 0.19/0.39 inference(lazy_predicate_extension, [assumptions([a3, a4])], [c7, c8])).
% 0.19/0.39
% 0.19/0.39 cnf(c12, axiom,
% 0.19/0.39 subset_complement(X6,subset_complement(X6,X7)) = X7 | ~element(X7,powerset(X6))).
% 0.19/0.39 cnf(a5, assumption,
% 0.19/0.39 subset_complement(the_carrier(X2),X3) = subset_complement(X6,subset_complement(X6,X7))).
% 0.19/0.39 cnf(c13, plain,
% 0.19/0.39 X2 != X5,
% 0.19/0.39 inference(strict_function_extension, [assumptions([a5])], [c11, c12])).
% 0.19/0.39 cnf(c14, plain,
% 0.19/0.39 ~element(X7,powerset(X6)),
% 0.19/0.39 inference(strict_function_extension, [assumptions([a5])], [c11, c12])).
% 0.19/0.39 cnf(c15, plain,
% 0.19/0.39 X8 != X7 | X8 != X4,
% 0.19/0.39 inference(strict_function_extension, [assumptions([a5])], [c11, c12])).
% 0.19/0.39
% 0.19/0.39 cnf(a6, assumption,
% 0.19/0.39 X8 = X7).
% 0.19/0.39 cnf(c16, plain,
% 0.19/0.39 X8 != X4,
% 0.19/0.39 inference(reflexivity, [assumptions([a6])], [c15])).
% 0.19/0.39
% 0.19/0.39 cnf(a7, assumption,
% 0.19/0.39 X8 = X4).
% 0.19/0.39 cnf(c17, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(reflexivity, [assumptions([a7])], [c16])).
% 0.19/0.39
% 0.19/0.39 cnf(c18, axiom,
% 0.19/0.39 element(sK4,powerset(the_carrier(sK3)))).
% 0.19/0.39 cnf(a8, assumption,
% 0.19/0.39 X7 = sK4).
% 0.19/0.39 cnf(a9, assumption,
% 0.19/0.39 powerset(X6) = powerset(the_carrier(sK3))).
% 0.19/0.39 cnf(c19, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a8, a9])], [c14, c18])).
% 0.19/0.39 cnf(c20, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a8, a9])], [c14, c18])).
% 0.19/0.39
% 0.19/0.39 cnf(a10, assumption,
% 0.19/0.39 X2 = X5).
% 0.19/0.39 cnf(c21, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(reflexivity, [assumptions([a10])], [c13])).
% 0.19/0.39
% 0.19/0.39 cnf(c22, plain,
% 0.19/0.39 closed_subset(X0,X1)).
% 0.19/0.39 cnf(a11, assumption,
% 0.19/0.39 X3 = X0).
% 0.19/0.39 cnf(a12, assumption,
% 0.19/0.39 X2 = X1).
% 0.19/0.39 cnf(c23, plain,
% 0.19/0.39 ~element(X3,powerset(the_carrier(X2))) | ~top_str(X2),
% 0.19/0.39 inference(predicate_reduction, [assumptions([a11, a12])], [c10, c22])).
% 0.19/0.39
% 0.19/0.39 cnf(c24, axiom,
% 0.19/0.39 element(subset_complement(X9,X10),powerset(X9)) | ~element(X10,powerset(X9))).
% 0.19/0.39 cnf(a13, assumption,
% 0.19/0.39 X3 = subset_complement(X9,X10)).
% 0.19/0.39 cnf(a14, assumption,
% 0.19/0.39 powerset(the_carrier(X2)) = powerset(X9)).
% 0.19/0.39 cnf(c25, plain,
% 0.19/0.39 ~top_str(X2),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13, a14])], [c23, c24])).
% 0.19/0.39 cnf(c26, plain,
% 0.19/0.39 ~element(X10,powerset(X9)),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13, a14])], [c23, c24])).
% 0.19/0.39
% 0.19/0.39 cnf(c27, plain,
% 0.19/0.39 element(X7,powerset(X6))).
% 0.19/0.39 cnf(a15, assumption,
% 0.19/0.39 X10 = X7).
% 0.19/0.39 cnf(a16, assumption,
% 0.19/0.39 powerset(X9) = powerset(X6)).
% 0.19/0.39 cnf(c28, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a15, a16])], [c26, c27])).
% 0.19/0.39
% 0.19/0.39 cnf(c29, plain,
% 0.19/0.39 top_str(sK3)).
% 0.19/0.39 cnf(a17, assumption,
% 0.19/0.39 X2 = sK3).
% 0.19/0.39 cnf(c30, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a17])], [c25, c29])).
% 0.19/0.39
% 0.19/0.39 cnf(c31, plain,
% 0.19/0.39 subset_complement(the_carrier(X2),X3) = X4).
% 0.19/0.39 cnf(a18, assumption,
% 0.19/0.39 subset_complement(the_carrier(X1),X0) = subset_complement(the_carrier(X2),X3)).
% 0.19/0.39 cnf(c32, plain,
% 0.19/0.39 ~element(X0,powerset(the_carrier(X1))),
% 0.19/0.39 inference(equality_reduction, [assumptions([a18])], [c6, c31])).
% 0.19/0.39 cnf(c33, plain,
% 0.19/0.39 ~open_subset(X4,X1),
% 0.19/0.39 inference(equality_reduction, [assumptions([a18])], [c6, c31])).
% 0.19/0.39
% 0.19/0.39 cnf(c34, axiom,
% 0.19/0.39 closed_subset(subset_complement(the_carrier(sK3),sK4),sK3) | open_subset(sK4,sK3)).
% 0.19/0.39 cnf(a19, assumption,
% 0.19/0.39 X4 = sK4).
% 0.19/0.39 cnf(a20, assumption,
% 0.19/0.39 X1 = sK3).
% 0.19/0.39 cnf(c35, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a19, a20])], [c33, c34])).
% 0.19/0.39 cnf(c36, plain,
% 0.19/0.39 closed_subset(subset_complement(the_carrier(sK3),sK4),sK3),
% 0.19/0.39 inference(strict_predicate_extension, [assumptions([a19, a20])], [c33, c34])).
% 0.19/0.39
% 0.19/0.39 cnf(c37, plain,
% 0.19/0.39 ~closed_subset(X0,X1)).
% 0.19/0.39 cnf(a21, assumption,
% 0.19/0.39 subset_complement(the_carrier(sK3),sK4) = X0).
% 0.19/0.39 cnf(a22, assumption,
% 0.19/0.39 sK3 = X1).
% 0.19/0.39 cnf(c38, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a21, a22])], [c36, c37])).
% 0.19/0.39
% 0.19/0.39 cnf(c39, plain,
% 0.19/0.39 element(X3,powerset(the_carrier(X2)))).
% 0.19/0.39 cnf(a23, assumption,
% 0.19/0.39 X0 = X3).
% 0.19/0.39 cnf(a24, assumption,
% 0.19/0.39 powerset(the_carrier(X1)) = powerset(the_carrier(X2))).
% 0.19/0.39 cnf(c40, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(predicate_reduction, [assumptions([a23, a24])], [c32, c39])).
% 0.19/0.39
% 0.19/0.39 cnf(c41, plain,
% 0.19/0.39 $false,
% 0.19/0.39 inference(constraint_solving, [
% 0.19/0.39 bind(X0, subset_complement(the_carrier(sK3),sK4)),
% 0.19/0.39 bind(X1, sK3),
% 0.19/0.39 bind(X2, sK3),
% 0.19/0.39 bind(X3, subset_complement(X6,X7)),
% 0.19/0.39 bind(X4, sK4),
% 0.19/0.39 bind(X5, sK3),
% 0.19/0.39 bind(X6, the_carrier(X2)),
% 0.19/0.39 bind(X7, sK4),
% 0.19/0.39 bind(X8, sK4),
% 0.19/0.39 bind(X9, the_carrier(X2)),
% 0.19/0.39 bind(X10, sK4)
% 0.19/0.39 ],
% 0.19/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24])).
% 0.19/0.39
% 0.19/0.39 % SZS output end IncompleteProof
%------------------------------------------------------------------------------