TSTP Solution File: SET788+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n010.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 02:48:07 EDT 2022
% Result : Theorem 21.55s 3.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 06:32:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 21.55/3.08 % SZS status Theorem
% 21.55/3.08 % SZS output begin IncompleteProof
% 21.55/3.08 cnf(c0, axiom,
% 21.55/3.08 equalish(X0,X1) | ~sP0(X1,X0)).
% 21.55/3.08 cnf(c1, plain,
% 21.55/3.08 equalish(X0,X1) | ~sP0(X1,X0),
% 21.55/3.08 inference(start, [], [c0])).
% 21.55/3.08
% 21.55/3.08 cnf(c2, axiom,
% 21.55/3.08 sP0(X2,X3) | ~equalish(X3,X2)).
% 21.55/3.08 cnf(a0, assumption,
% 21.55/3.08 X0 = X3).
% 21.55/3.08 cnf(a1, assumption,
% 21.55/3.08 X1 = X2).
% 21.55/3.08 cnf(c3, plain,
% 21.55/3.08 ~sP0(X1,X0),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 21.55/3.08 cnf(c4, plain,
% 21.55/3.08 sP0(X2,X3),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 21.55/3.08
% 21.55/3.08 cnf(c5, axiom,
% 21.55/3.08 a_member_of(X4,X5) | ~a_member_of(X4,X6) | ~sP0(X6,X5)).
% 21.55/3.08 cnf(a2, assumption,
% 21.55/3.08 X2 = X6).
% 21.55/3.08 cnf(a3, assumption,
% 21.55/3.08 X3 = X5).
% 21.55/3.08 cnf(c6, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 21.55/3.08 cnf(c7, plain,
% 21.55/3.08 a_member_of(X4,X5) | ~a_member_of(X4,X6),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 21.55/3.08
% 21.55/3.08 cnf(c8, axiom,
% 21.55/3.08 sP0(X7,X8) | ~a_member_of(sK1(X7,X8),X7) | ~a_member_of(sK1(X7,X8),X8)).
% 21.55/3.08 cnf(a4, assumption,
% 21.55/3.08 X4 = sK1(X7,X8)).
% 21.55/3.08 cnf(a5, assumption,
% 21.55/3.08 X5 = X7).
% 21.55/3.08 cnf(c9, plain,
% 21.55/3.08 ~a_member_of(X4,X6),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 21.55/3.08 cnf(c10, plain,
% 21.55/3.08 sP0(X7,X8) | ~a_member_of(sK1(X7,X8),X8),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 21.55/3.08
% 21.55/3.08 cnf(c11, axiom,
% 21.55/3.08 equalish(X9,X10) | ~sP0(X10,X9)).
% 21.55/3.08 cnf(a6, assumption,
% 21.55/3.08 X7 = X10).
% 21.55/3.08 cnf(a7, assumption,
% 21.55/3.08 X8 = X9).
% 21.55/3.08 cnf(c12, plain,
% 21.55/3.08 ~a_member_of(sK1(X7,X8),X8),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 21.55/3.08 cnf(c13, plain,
% 21.55/3.08 equalish(X9,X10),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 21.55/3.08
% 21.55/3.08 cnf(c14, axiom,
% 21.55/3.08 ~equalish(sK3,sK2) | ~equalish(sK2,sK3)).
% 21.55/3.08 cnf(a8, assumption,
% 21.55/3.08 X9 = sK2).
% 21.55/3.08 cnf(a9, assumption,
% 21.55/3.08 X10 = sK3).
% 21.55/3.08 cnf(c15, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 21.55/3.08 cnf(c16, plain,
% 21.55/3.08 ~equalish(sK3,sK2),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 21.55/3.08
% 21.55/3.08 cnf(c17, plain,
% 21.55/3.08 equalish(X0,X1)).
% 21.55/3.08 cnf(a10, assumption,
% 21.55/3.08 sK3 = X0).
% 21.55/3.08 cnf(a11, assumption,
% 21.55/3.08 sK2 = X1).
% 21.55/3.08 cnf(c18, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(predicate_reduction, [assumptions([a10, a11])], [c16, c17])).
% 21.55/3.08
% 21.55/3.08 cnf(c19, axiom,
% 21.55/3.08 a_member_of(X11,X12) | ~a_member_of(X11,X13) | ~sP0(X12,X13)).
% 21.55/3.08 cnf(a12, assumption,
% 21.55/3.08 sK1(X7,X8) = X11).
% 21.55/3.08 cnf(a13, assumption,
% 21.55/3.08 X8 = X12).
% 21.55/3.08 cnf(c20, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a12, a13])], [c12, c19])).
% 21.55/3.08 cnf(c21, plain,
% 21.55/3.08 ~a_member_of(X11,X13) | ~sP0(X12,X13),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a12, a13])], [c12, c19])).
% 21.55/3.08
% 21.55/3.08 cnf(c22, plain,
% 21.55/3.08 a_member_of(X4,X5)).
% 21.55/3.08 cnf(a14, assumption,
% 21.55/3.08 X11 = X4).
% 21.55/3.08 cnf(a15, assumption,
% 21.55/3.08 X13 = X5).
% 21.55/3.08 cnf(c23, plain,
% 21.55/3.08 ~sP0(X12,X13),
% 21.55/3.08 inference(predicate_reduction, [assumptions([a14, a15])], [c21, c22])).
% 21.55/3.08
% 21.55/3.08 cnf(c24, plain,
% 21.55/3.08 sP0(X2,X3)).
% 21.55/3.08 cnf(a16, assumption,
% 21.55/3.08 X12 = X2).
% 21.55/3.08 cnf(a17, assumption,
% 21.55/3.08 X13 = X3).
% 21.55/3.08 cnf(c25, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(predicate_reduction, [assumptions([a16, a17])], [c23, c24])).
% 21.55/3.08
% 21.55/3.08 cnf(c26, axiom,
% 21.55/3.08 sP0(X14,X15) | a_member_of(sK1(X14,X15),X14) | a_member_of(sK1(X14,X15),X15)).
% 21.55/3.08 cnf(a18, assumption,
% 21.55/3.08 X4 = sK1(X14,X15)).
% 21.55/3.08 cnf(a19, assumption,
% 21.55/3.08 X6 = X15).
% 21.55/3.08 cnf(c27, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a18, a19])], [c9, c26])).
% 21.55/3.08 cnf(c28, plain,
% 21.55/3.08 sP0(X14,X15) | a_member_of(sK1(X14,X15),X14),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a18, a19])], [c9, c26])).
% 21.55/3.08
% 21.55/3.08 cnf(c29, plain,
% 21.55/3.08 ~sP0(X7,X8)).
% 21.55/3.08 cnf(a20, assumption,
% 21.55/3.08 X14 = X7).
% 21.55/3.08 cnf(a21, assumption,
% 21.55/3.08 X15 = X8).
% 21.55/3.08 cnf(c30, plain,
% 21.55/3.08 a_member_of(sK1(X14,X15),X14),
% 21.55/3.08 inference(predicate_reduction, [assumptions([a20, a21])], [c28, c29])).
% 21.55/3.08
% 21.55/3.08 cnf(c31, plain,
% 21.55/3.08 ~a_member_of(X4,X5)).
% 21.55/3.08 cnf(a22, assumption,
% 21.55/3.08 sK1(X14,X15) = X4).
% 21.55/3.08 cnf(a23, assumption,
% 21.55/3.08 X14 = X5).
% 21.55/3.08 cnf(c32, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(predicate_reduction, [assumptions([a22, a23])], [c30, c31])).
% 21.55/3.08
% 21.55/3.08 cnf(c33, axiom,
% 21.55/3.08 sP0(X16,X17) | a_member_of(sK1(X16,X17),X16) | a_member_of(sK1(X16,X17),X17)).
% 21.55/3.08 cnf(a24, assumption,
% 21.55/3.08 X1 = X16).
% 21.55/3.08 cnf(a25, assumption,
% 21.55/3.08 X0 = X17).
% 21.55/3.08 cnf(c34, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a24, a25])], [c3, c33])).
% 21.55/3.08 cnf(c35, plain,
% 21.55/3.08 a_member_of(sK1(X16,X17),X16) | a_member_of(sK1(X16,X17),X17),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a24, a25])], [c3, c33])).
% 21.55/3.08
% 21.55/3.08 cnf(c36, axiom,
% 21.55/3.08 a_member_of(X18,X19) | ~a_member_of(X18,X20) | ~sP0(X19,X20)).
% 21.55/3.08 cnf(a26, assumption,
% 21.55/3.08 sK1(X16,X17) = X18).
% 21.55/3.08 cnf(a27, assumption,
% 21.55/3.08 X16 = X20).
% 21.55/3.08 cnf(c37, plain,
% 21.55/3.08 a_member_of(sK1(X16,X17),X17),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a26, a27])], [c35, c36])).
% 21.55/3.08 cnf(c38, plain,
% 21.55/3.08 a_member_of(X18,X19) | ~sP0(X19,X20),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a26, a27])], [c35, c36])).
% 21.55/3.08
% 21.55/3.08 cnf(c39, axiom,
% 21.55/3.08 sP0(X21,X22) | ~a_member_of(sK1(X21,X22),X21) | ~a_member_of(sK1(X21,X22),X22)).
% 21.55/3.08 cnf(a28, assumption,
% 21.55/3.08 X18 = sK1(X21,X22)).
% 21.55/3.08 cnf(a29, assumption,
% 21.55/3.08 X19 = X22).
% 21.55/3.08 cnf(c40, plain,
% 21.55/3.08 ~sP0(X19,X20),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a28, a29])], [c38, c39])).
% 21.55/3.08 cnf(c41, plain,
% 21.55/3.08 sP0(X21,X22) | ~a_member_of(sK1(X21,X22),X21),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a28, a29])], [c38, c39])).
% 21.55/3.08
% 21.55/3.08 cnf(c42, plain,
% 21.55/3.08 ~sP0(X1,X0)).
% 21.55/3.08 cnf(a30, assumption,
% 21.55/3.08 X21 = X1).
% 21.55/3.08 cnf(a31, assumption,
% 21.55/3.08 X22 = X0).
% 21.55/3.08 cnf(c43, plain,
% 21.55/3.08 ~a_member_of(sK1(X21,X22),X21),
% 21.55/3.08 inference(predicate_reduction, [assumptions([a30, a31])], [c41, c42])).
% 21.55/3.08
% 21.55/3.08 cnf(c44, plain,
% 21.55/3.08 a_member_of(sK1(X16,X17),X16)).
% 21.55/3.08 cnf(a32, assumption,
% 21.55/3.08 sK1(X21,X22) = sK1(X16,X17)).
% 21.55/3.08 cnf(a33, assumption,
% 21.55/3.08 X21 = X16).
% 21.55/3.08 cnf(c45, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(predicate_reduction, [assumptions([a32, a33])], [c43, c44])).
% 21.55/3.08
% 21.55/3.08 cnf(c46, axiom,
% 21.55/3.08 sP0(X23,X24) | ~equalish(X24,X23)).
% 21.55/3.08 cnf(a34, assumption,
% 21.55/3.08 X19 = X23).
% 21.55/3.08 cnf(a35, assumption,
% 21.55/3.08 X20 = X24).
% 21.55/3.08 cnf(c47, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a34, a35])], [c40, c46])).
% 21.55/3.08 cnf(c48, plain,
% 21.55/3.08 ~equalish(X24,X23),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a34, a35])], [c40, c46])).
% 21.55/3.08
% 21.55/3.08 cnf(c49, axiom,
% 21.55/3.08 equalish(sK3,sK2) | equalish(sK2,sK3)).
% 21.55/3.08 cnf(a36, assumption,
% 21.55/3.08 X24 = sK2).
% 21.55/3.08 cnf(a37, assumption,
% 21.55/3.08 X23 = sK3).
% 21.55/3.08 cnf(c50, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a36, a37])], [c48, c49])).
% 21.55/3.08 cnf(c51, plain,
% 21.55/3.08 equalish(sK3,sK2),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a36, a37])], [c48, c49])).
% 21.55/3.08
% 21.55/3.08 cnf(c52, plain,
% 21.55/3.08 ~equalish(X0,X1)).
% 21.55/3.08 cnf(a38, assumption,
% 21.55/3.08 sK3 = X0).
% 21.55/3.08 cnf(a39, assumption,
% 21.55/3.08 sK2 = X1).
% 21.55/3.08 cnf(c53, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(predicate_reduction, [assumptions([a38, a39])], [c51, c52])).
% 21.55/3.08
% 21.55/3.08 cnf(c54, axiom,
% 21.55/3.08 a_member_of(X25,X26) | ~a_member_of(X25,X27) | ~sP0(X27,X26)).
% 21.55/3.08 cnf(a40, assumption,
% 21.55/3.08 sK1(X16,X17) = X25).
% 21.55/3.08 cnf(a41, assumption,
% 21.55/3.08 X17 = X27).
% 21.55/3.08 cnf(c55, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a40, a41])], [c37, c54])).
% 21.55/3.08 cnf(c56, plain,
% 21.55/3.08 a_member_of(X25,X26) | ~sP0(X27,X26),
% 21.55/3.08 inference(strict_predicate_extension, [assumptions([a40, a41])], [c37, c54])).
% 21.55/3.08
% 21.55/3.08 cnf(c57, plain,
% 21.55/3.08 ~a_member_of(sK1(X16,X17),X16)).
% 21.55/3.08 cnf(a42, assumption,
% 21.55/3.08 X25 = sK1(X16,X17)).
% 21.55/3.08 cnf(a43, assumption,
% 21.55/3.08 X26 = X16).
% 21.55/3.08 cnf(c58, plain,
% 21.55/3.08 ~sP0(X27,X26),
% 21.55/3.08 inference(predicate_reduction, [assumptions([a42, a43])], [c56, c57])).
% 21.55/3.08
% 21.55/3.08 cnf(c59, plain,
% 21.55/3.08 sP0(X19,X20)).
% 21.55/3.08 cnf(a44, assumption,
% 21.55/3.08 X27 = X19).
% 21.55/3.08 cnf(a45, assumption,
% 21.55/3.08 X26 = X20).
% 21.55/3.08 cnf(c60, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(predicate_reduction, [assumptions([a44, a45])], [c58, c59])).
% 21.55/3.08
% 21.55/3.08 cnf(c61, plain,
% 21.55/3.08 $false,
% 21.55/3.08 inference(constraint_solving, [
% 21.55/3.08 bind(X0, sK3),
% 21.55/3.08 bind(X1, sK2),
% 21.55/3.08 bind(X2, sK2),
% 21.55/3.08 bind(X3, sK3),
% 21.55/3.08 bind(X4, sK1(X7,X8)),
% 21.55/3.08 bind(X5, sK3),
% 21.55/3.08 bind(X6, sK2),
% 21.55/3.08 bind(X7, sK3),
% 21.55/3.08 bind(X8, sK2),
% 21.55/3.08 bind(X9, sK2),
% 21.55/3.08 bind(X10, sK3),
% 21.55/3.08 bind(X11, sK1(X7,X8)),
% 21.55/3.08 bind(X12, sK2),
% 21.55/3.08 bind(X13, sK3),
% 21.55/3.08 bind(X14, sK3),
% 21.55/3.08 bind(X15, sK2),
% 21.55/3.08 bind(X16, sK2),
% 21.55/3.08 bind(X17, sK3),
% 21.55/3.08 bind(X18, sK1(X16,X17)),
% 21.55/3.08 bind(X19, sK3),
% 21.55/3.08 bind(X20, sK2),
% 21.55/3.08 bind(X21, sK2),
% 21.55/3.08 bind(X22, sK3),
% 21.55/3.08 bind(X23, sK3),
% 21.55/3.08 bind(X24, sK2),
% 21.55/3.08 bind(X25, sK1(X16,X17)),
% 21.55/3.08 bind(X26, sK2),
% 21.55/3.08 bind(X27, sK3)
% 21.55/3.08 ],
% 21.55/3.08 [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, a40, a41, a42, a43, a44, a45])).
% 21.55/3.08
% 21.55/3.08 % SZS output end IncompleteProof
%------------------------------------------------------------------------------