TSTP Solution File: SEU147+3 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n023.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 11:53:29 EDT 2022
% Result : Theorem 3.65s 0.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 22:38:34 EDT 2022
% 0.11/0.33 % CPUTime :
% 3.65/0.82 % SZS status Theorem
% 3.65/0.82 % SZS output begin IncompleteProof
% 3.65/0.82 cnf(c0, axiom,
% 3.65/0.82 powerset(empty_set) != singleton(empty_set)).
% 3.65/0.82 cnf(c1, plain,
% 3.65/0.82 powerset(empty_set) != singleton(empty_set),
% 3.65/0.82 inference(start, [], [c0])).
% 3.65/0.82
% 3.65/0.82 cnf(c2, axiom,
% 3.65/0.82 powerset(X0) = X1 | ~sP1(X0,X1)).
% 3.65/0.82 cnf(a0, assumption,
% 3.65/0.82 powerset(empty_set) = powerset(X0)).
% 3.65/0.82 cnf(c3, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 3.65/0.82 cnf(c4, plain,
% 3.65/0.82 ~sP1(X0,X1),
% 3.65/0.82 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 3.65/0.82 cnf(c5, plain,
% 3.65/0.82 X2 != X1 | X2 != singleton(empty_set),
% 3.65/0.82 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 3.65/0.82
% 3.65/0.82 cnf(a1, assumption,
% 3.65/0.82 X2 = X1).
% 3.65/0.82 cnf(c6, plain,
% 3.65/0.82 X2 != singleton(empty_set),
% 3.65/0.82 inference(reflexivity, [assumptions([a1])], [c5])).
% 3.65/0.82
% 3.65/0.82 cnf(a2, assumption,
% 3.65/0.82 X2 = singleton(empty_set)).
% 3.65/0.82 cnf(c7, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(reflexivity, [assumptions([a2])], [c6])).
% 3.65/0.82
% 3.65/0.82 cnf(c8, axiom,
% 3.65/0.82 sP1(X3,X4) | subset(sK3(X3,X4),X3) | in(sK3(X3,X4),X4)).
% 3.65/0.82 cnf(a3, assumption,
% 3.65/0.82 X0 = X3).
% 3.65/0.82 cnf(a4, assumption,
% 3.65/0.82 X1 = X4).
% 3.65/0.82 cnf(c9, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 3.65/0.82 cnf(c10, plain,
% 3.65/0.82 subset(sK3(X3,X4),X3) | in(sK3(X3,X4),X4),
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 3.65/0.82
% 3.65/0.82 cnf(c11, axiom,
% 3.65/0.82 empty_set = X5 | ~subset(X5,empty_set)).
% 3.65/0.82 cnf(a5, assumption,
% 3.65/0.82 sK3(X3,X4) = X5).
% 3.65/0.82 cnf(a6, assumption,
% 3.65/0.82 X3 = empty_set).
% 3.65/0.82 cnf(c12, plain,
% 3.65/0.82 in(sK3(X3,X4),X4),
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 3.65/0.82 cnf(c13, plain,
% 3.65/0.82 empty_set = X5,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 3.65/0.82
% 3.65/0.82 cnf(c14, axiom,
% 3.65/0.82 sP1(X6,X7) | ~subset(sK3(X6,X7),X6) | ~in(sK3(X6,X7),X7)).
% 3.65/0.82 cnf(a7, assumption,
% 3.65/0.82 sK3(X6,X7) = X5).
% 3.65/0.82 cnf(a8, assumption,
% 3.65/0.82 empty_set = X8).
% 3.65/0.82 cnf(c15, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_subterm_extension, [assumptions([a7, a8])], [c13, c14])).
% 3.65/0.82 cnf(c16, plain,
% 3.65/0.82 sP1(X6,X7) | ~subset(sK3(X6,X7),X6),
% 3.65/0.82 inference(strict_subterm_extension, [assumptions([a7, a8])], [c13, c14])).
% 3.65/0.82 cnf(c17, plain,
% 3.65/0.82 ~in(X8,X7),
% 3.65/0.82 inference(strict_subterm_extension, [assumptions([a7, a8])], [c13, c14])).
% 3.65/0.82
% 3.65/0.82 cnf(c18, axiom,
% 3.65/0.82 in(X9,X10) | ~sP0(X9,X10)).
% 3.65/0.82 cnf(a9, assumption,
% 3.65/0.82 X8 = X9).
% 3.65/0.82 cnf(a10, assumption,
% 3.65/0.82 X7 = X10).
% 3.65/0.82 cnf(c19, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a9, a10])], [c17, c18])).
% 3.65/0.82 cnf(c20, plain,
% 3.65/0.82 ~sP0(X9,X10),
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a9, a10])], [c17, c18])).
% 3.65/0.82
% 3.65/0.82 cnf(c21, axiom,
% 3.65/0.82 sP0(X11,singleton(X11))).
% 3.65/0.82 cnf(a11, assumption,
% 3.65/0.82 X9 = X11).
% 3.65/0.82 cnf(a12, assumption,
% 3.65/0.82 X10 = singleton(X11)).
% 3.65/0.82 cnf(c22, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a11, a12])], [c20, c21])).
% 3.65/0.82 cnf(c23, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a11, a12])], [c20, c21])).
% 3.65/0.82
% 3.65/0.82 cnf(c24, plain,
% 3.65/0.82 ~sP1(X0,X1)).
% 3.65/0.82 cnf(a13, assumption,
% 3.65/0.82 X6 = X0).
% 3.65/0.82 cnf(a14, assumption,
% 3.65/0.82 X7 = X1).
% 3.65/0.82 cnf(c25, plain,
% 3.65/0.82 ~subset(sK3(X6,X7),X6),
% 3.65/0.82 inference(predicate_reduction, [assumptions([a13, a14])], [c16, c24])).
% 3.65/0.82
% 3.65/0.82 cnf(c26, plain,
% 3.65/0.82 subset(sK3(X3,X4),X3)).
% 3.65/0.82 cnf(a15, assumption,
% 3.65/0.82 sK3(X6,X7) = sK3(X3,X4)).
% 3.65/0.82 cnf(a16, assumption,
% 3.65/0.82 X6 = X3).
% 3.65/0.82 cnf(c27, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(predicate_reduction, [assumptions([a15, a16])], [c25, c26])).
% 3.65/0.82
% 3.65/0.82 cnf(c28, axiom,
% 3.65/0.82 X12 = X13 | ~in(X13,X14) | ~sP0(X12,X14)).
% 3.65/0.82 cnf(a17, assumption,
% 3.65/0.82 sK3(X3,X4) = X13).
% 3.65/0.82 cnf(a18, assumption,
% 3.65/0.82 X4 = X14).
% 3.65/0.82 cnf(c29, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c28])).
% 3.65/0.82 cnf(c30, plain,
% 3.65/0.82 X12 = X13 | ~sP0(X12,X14),
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c28])).
% 3.65/0.82
% 3.65/0.82 cnf(c31, plain,
% 3.65/0.82 ~subset(sK3(X3,X4),X3)).
% 3.65/0.82 cnf(a19, assumption,
% 3.65/0.82 sK3(X3,X4) = X13).
% 3.65/0.82 cnf(c32, plain,
% 3.65/0.82 ~sP0(X12,X14),
% 3.65/0.82 inference(subterm_reduction, [assumptions([a19])], [c30, c31])).
% 3.65/0.82 cnf(c33, plain,
% 3.65/0.82 ~subset(X12,X3),
% 3.65/0.82 inference(subterm_reduction, [assumptions([a19])], [c30, c31])).
% 3.65/0.82
% 3.65/0.82 cnf(c34, axiom,
% 3.65/0.82 subset(X15,X15)).
% 3.65/0.82 cnf(a20, assumption,
% 3.65/0.82 X12 = X15).
% 3.65/0.82 cnf(a21, assumption,
% 3.65/0.82 X3 = X15).
% 3.65/0.82 cnf(c35, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a20, a21])], [c33, c34])).
% 3.65/0.82 cnf(c36, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(strict_predicate_extension, [assumptions([a20, a21])], [c33, c34])).
% 3.65/0.82
% 3.65/0.82 cnf(c37, plain,
% 3.65/0.82 sP0(X9,X10)).
% 3.65/0.82 cnf(a22, assumption,
% 3.65/0.82 X12 = X9).
% 3.65/0.82 cnf(a23, assumption,
% 3.65/0.82 X14 = X10).
% 3.65/0.82 cnf(c38, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(predicate_reduction, [assumptions([a22, a23])], [c32, c37])).
% 3.65/0.82
% 3.65/0.82 cnf(c39, plain,
% 3.65/0.82 $false,
% 3.65/0.82 inference(constraint_solving, [
% 3.65/0.82 bind(X0, empty_set),
% 3.65/0.82 bind(X1, singleton(empty_set)),
% 3.65/0.82 bind(X2, singleton(empty_set)),
% 3.65/0.82 bind(X3, empty_set),
% 3.65/0.82 bind(X4, singleton(empty_set)),
% 3.65/0.82 bind(X5, sK3(X3,X4)),
% 3.65/0.82 bind(X6, empty_set),
% 3.65/0.82 bind(X7, singleton(empty_set)),
% 3.65/0.82 bind(X8, empty_set),
% 3.65/0.82 bind(X9, empty_set),
% 3.65/0.82 bind(X10, singleton(empty_set)),
% 3.65/0.82 bind(X11, empty_set),
% 3.65/0.82 bind(X12, empty_set),
% 3.65/0.82 bind(X13, sK3(X3,X4)),
% 3.65/0.82 bind(X14, singleton(empty_set)),
% 3.65/0.82 bind(X15, empty_set)
% 3.65/0.82 ],
% 3.65/0.82 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])).
% 3.65/0.82
% 3.65/0.82 % SZS output end IncompleteProof
%------------------------------------------------------------------------------