TSTP Solution File: SET789+4 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET789+4 : 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 : 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 02:48:08 EDT 2022
% Result : Theorem 163.48s 23.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 : Mon Jul 11 04:53:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 163.48/23.70 % SZS status Theorem
% 163.48/23.70 % SZS output begin IncompleteProof
% 163.48/23.70 cnf(c0, axiom,
% 163.48/23.70 order(sK26,sK27)).
% 163.48/23.70 cnf(c1, plain,
% 163.48/23.70 order(sK26,sK27),
% 163.48/23.70 inference(start, [], [c0])).
% 163.48/23.70
% 163.48/23.70 cnf(c2, axiom,
% 163.48/23.70 sP2(X0,X1) | ~order(X1,X0)).
% 163.48/23.70 cnf(a0, assumption,
% 163.48/23.70 sK26 = X1).
% 163.48/23.70 cnf(a1, assumption,
% 163.48/23.70 sK27 = X0).
% 163.48/23.70 cnf(c3, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 163.48/23.70 cnf(c4, plain,
% 163.48/23.70 sP2(X0,X1),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 163.48/23.70
% 163.48/23.70 cnf(c5, axiom,
% 163.48/23.70 sP0(X2,X3) | ~sP2(X3,X2)).
% 163.48/23.70 cnf(a2, assumption,
% 163.48/23.70 X0 = X3).
% 163.48/23.70 cnf(a3, assumption,
% 163.48/23.70 X1 = X2).
% 163.48/23.70 cnf(c6, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 163.48/23.70 cnf(c7, plain,
% 163.48/23.70 sP0(X2,X3),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 163.48/23.70
% 163.48/23.70 cnf(c8, axiom,
% 163.48/23.70 X4 = X5 | ~apply(X6,X5,X4) | ~apply(X6,X4,X5) | ~member(X5,X7) | ~member(X4,X7) | ~sP0(X6,X7)).
% 163.48/23.70 cnf(a4, assumption,
% 163.48/23.70 X2 = X6).
% 163.48/23.70 cnf(a5, assumption,
% 163.48/23.70 X3 = X7).
% 163.48/23.70 cnf(c9, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 163.48/23.70 cnf(c10, plain,
% 163.48/23.70 X4 = X5 | ~apply(X6,X5,X4) | ~apply(X6,X4,X5) | ~member(X5,X7) | ~member(X4,X7),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 163.48/23.70
% 163.48/23.70 cnf(c11, axiom,
% 163.48/23.70 sK28 != sK29).
% 163.48/23.70 cnf(a6, assumption,
% 163.48/23.70 sK29 = X5).
% 163.48/23.70 cnf(c12, plain,
% 163.48/23.70 ~apply(X6,X5,X4) | ~apply(X6,X4,X5) | ~member(X5,X7) | ~member(X4,X7),
% 163.48/23.70 inference(strict_subterm_extension, [assumptions([a6])], [c10, c11])).
% 163.48/23.70 cnf(c13, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_subterm_extension, [assumptions([a6])], [c10, c11])).
% 163.48/23.70 cnf(c14, plain,
% 163.48/23.70 sK28 != X4,
% 163.48/23.70 inference(strict_subterm_extension, [assumptions([a6])], [c10, c11])).
% 163.48/23.70
% 163.48/23.70 cnf(a7, assumption,
% 163.48/23.70 sK28 = X4).
% 163.48/23.70 cnf(c15, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(reflexivity, [assumptions([a7])], [c14])).
% 163.48/23.70
% 163.48/23.70 cnf(c16, axiom,
% 163.48/23.70 apply(X8,X9,X10) | ~member(X9,X11) | ~sP4(X10,X8,X11)).
% 163.48/23.70 cnf(a8, assumption,
% 163.48/23.70 X6 = X8).
% 163.48/23.70 cnf(a9, assumption,
% 163.48/23.70 X5 = X9).
% 163.48/23.70 cnf(a10, assumption,
% 163.48/23.70 X4 = X10).
% 163.48/23.70 cnf(c17, plain,
% 163.48/23.70 ~apply(X6,X4,X5) | ~member(X5,X7) | ~member(X4,X7),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c16])).
% 163.48/23.70 cnf(c18, plain,
% 163.48/23.70 ~member(X9,X11) | ~sP4(X10,X8,X11),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c16])).
% 163.48/23.70
% 163.48/23.70 cnf(c19, axiom,
% 163.48/23.70 member(X12,X13) | ~sP4(X12,X14,X13)).
% 163.48/23.70 cnf(a11, assumption,
% 163.48/23.70 X9 = X12).
% 163.48/23.70 cnf(a12, assumption,
% 163.48/23.70 X11 = X13).
% 163.48/23.70 cnf(c20, plain,
% 163.48/23.70 ~sP4(X10,X8,X11),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a11, a12])], [c18, c19])).
% 163.48/23.70 cnf(c21, plain,
% 163.48/23.70 ~sP4(X12,X14,X13),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a11, a12])], [c18, c19])).
% 163.48/23.70
% 163.48/23.70 cnf(c22, axiom,
% 163.48/23.70 sP4(X15,X16,X17) | ~greatest(X15,X16,X17)).
% 163.48/23.70 cnf(a13, assumption,
% 163.48/23.70 X12 = X15).
% 163.48/23.70 cnf(a14, assumption,
% 163.48/23.70 X14 = X16).
% 163.48/23.70 cnf(a15, assumption,
% 163.48/23.70 X13 = X17).
% 163.48/23.70 cnf(c23, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c22])).
% 163.48/23.70 cnf(c24, plain,
% 163.48/23.70 ~greatest(X15,X16,X17),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c22])).
% 163.48/23.70
% 163.48/23.70 cnf(c25, axiom,
% 163.48/23.70 greatest(sK29,sK26,sK27)).
% 163.48/23.70 cnf(a16, assumption,
% 163.48/23.70 X15 = sK29).
% 163.48/23.70 cnf(a17, assumption,
% 163.48/23.70 X16 = sK26).
% 163.48/23.70 cnf(a18, assumption,
% 163.48/23.70 X17 = sK27).
% 163.48/23.70 cnf(c26, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c24, c25])).
% 163.48/23.70 cnf(c27, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c24, c25])).
% 163.48/23.70
% 163.48/23.70 cnf(c28, axiom,
% 163.48/23.70 sP4(X18,X19,X20) | ~greatest(X18,X19,X20)).
% 163.48/23.70 cnf(a19, assumption,
% 163.48/23.70 X10 = X18).
% 163.48/23.70 cnf(a20, assumption,
% 163.48/23.70 X8 = X19).
% 163.48/23.70 cnf(a21, assumption,
% 163.48/23.70 X11 = X20).
% 163.48/23.70 cnf(c29, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c20, c28])).
% 163.48/23.70 cnf(c30, plain,
% 163.48/23.70 ~greatest(X18,X19,X20),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c20, c28])).
% 163.48/23.70
% 163.48/23.70 cnf(c31, axiom,
% 163.48/23.70 greatest(sK28,sK26,sK27)).
% 163.48/23.70 cnf(a22, assumption,
% 163.48/23.70 X18 = sK28).
% 163.48/23.70 cnf(a23, assumption,
% 163.48/23.70 X19 = sK26).
% 163.48/23.70 cnf(a24, assumption,
% 163.48/23.70 X20 = sK27).
% 163.48/23.70 cnf(c32, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c30, c31])).
% 163.48/23.70 cnf(c33, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c30, c31])).
% 163.48/23.70
% 163.48/23.70 cnf(c34, axiom,
% 163.48/23.70 apply(X21,X22,X23) | ~member(X22,X24) | ~sP4(X23,X21,X24)).
% 163.48/23.70 cnf(a25, assumption,
% 163.48/23.70 X6 = X21).
% 163.48/23.70 cnf(a26, assumption,
% 163.48/23.70 X4 = X22).
% 163.48/23.70 cnf(a27, assumption,
% 163.48/23.70 X5 = X23).
% 163.48/23.70 cnf(c35, plain,
% 163.48/23.70 ~member(X5,X7) | ~member(X4,X7),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c17, c34])).
% 163.48/23.70 cnf(c36, plain,
% 163.48/23.70 ~member(X22,X24) | ~sP4(X23,X21,X24),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c17, c34])).
% 163.48/23.70
% 163.48/23.70 cnf(c37, axiom,
% 163.48/23.70 member(X25,X26) | ~sP4(X25,X27,X26)).
% 163.48/23.70 cnf(a28, assumption,
% 163.48/23.70 X22 = X25).
% 163.48/23.70 cnf(a29, assumption,
% 163.48/23.70 X24 = X26).
% 163.48/23.70 cnf(c38, plain,
% 163.48/23.70 ~sP4(X23,X21,X24),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a28, a29])], [c36, c37])).
% 163.48/23.70 cnf(c39, plain,
% 163.48/23.70 ~sP4(X25,X27,X26),
% 163.48/23.70 inference(strict_predicate_extension, [assumptions([a28, a29])], [c36, c37])).
% 163.48/23.70
% 163.48/23.70 cnf(c40, plain,
% 163.48/23.70 sP4(X10,X8,X11)).
% 163.48/23.70 cnf(a30, assumption,
% 163.48/23.70 X25 = X10).
% 163.48/23.70 cnf(a31, assumption,
% 163.48/23.70 X27 = X8).
% 163.48/23.70 cnf(a32, assumption,
% 163.48/23.70 X26 = X11).
% 163.48/23.70 cnf(c41, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c39, c40])).
% 163.48/23.70
% 163.48/23.70 cnf(c42, plain,
% 163.48/23.70 sP4(X12,X14,X13)).
% 163.48/23.70 cnf(a33, assumption,
% 163.48/23.70 X23 = X12).
% 163.48/23.70 cnf(a34, assumption,
% 163.48/23.70 X21 = X14).
% 163.48/23.70 cnf(a35, assumption,
% 163.48/23.70 X24 = X13).
% 163.48/23.70 cnf(c43, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(predicate_reduction, [assumptions([a33, a34, a35])], [c38, c42])).
% 163.48/23.70
% 163.48/23.70 cnf(c44, plain,
% 163.48/23.70 member(X9,X11)).
% 163.48/23.70 cnf(a36, assumption,
% 163.48/23.70 X5 = X9).
% 163.48/23.70 cnf(a37, assumption,
% 163.48/23.70 X7 = X11).
% 163.48/23.70 cnf(c45, plain,
% 163.48/23.70 ~member(X4,X7),
% 163.48/23.70 inference(predicate_reduction, [assumptions([a36, a37])], [c35, c44])).
% 163.48/23.70
% 163.48/23.70 cnf(c46, plain,
% 163.48/23.70 member(X22,X24)).
% 163.48/23.70 cnf(a38, assumption,
% 163.48/23.70 X4 = X22).
% 163.48/23.70 cnf(a39, assumption,
% 163.48/23.70 X7 = X24).
% 163.48/23.70 cnf(c47, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(predicate_reduction, [assumptions([a38, a39])], [c45, c46])).
% 163.48/23.70
% 163.48/23.70 cnf(c48, plain,
% 163.48/23.70 $false,
% 163.48/23.70 inference(constraint_solving, [
% 163.48/23.70 bind(X0, sK27),
% 163.48/23.70 bind(X1, sK26),
% 163.48/23.70 bind(X2, sK26),
% 163.48/23.70 bind(X3, sK27),
% 163.48/23.70 bind(X4, sK28),
% 163.48/23.70 bind(X5, sK29),
% 163.48/23.70 bind(X6, sK26),
% 163.48/23.70 bind(X7, sK27),
% 163.48/23.70 bind(X8, sK26),
% 163.48/23.70 bind(X9, sK29),
% 163.48/23.70 bind(X10, sK28),
% 163.48/23.70 bind(X11, sK27),
% 163.48/23.70 bind(X12, sK29),
% 163.48/23.70 bind(X13, sK27),
% 163.48/23.70 bind(X14, sK26),
% 163.48/23.70 bind(X15, sK29),
% 163.48/23.70 bind(X16, sK26),
% 163.48/23.70 bind(X17, sK27),
% 163.48/23.70 bind(X18, sK28),
% 163.48/23.70 bind(X19, sK26),
% 163.48/23.70 bind(X20, sK27),
% 163.48/23.70 bind(X21, sK26),
% 163.48/23.70 bind(X22, sK28),
% 163.48/23.70 bind(X23, sK29),
% 163.48/23.70 bind(X24, sK27),
% 163.48/23.70 bind(X25, sK28),
% 163.48/23.70 bind(X26, sK27),
% 163.48/23.70 bind(X27, sK26)
% 163.48/23.70 ],
% 163.48/23.70 [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, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39])).
% 163.48/23.70
% 163.48/23.70 % SZS output end IncompleteProof
%------------------------------------------------------------------------------