TSTP Solution File: SYN690-1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYN690-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n014.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 : Thu Jul 21 08:12:49 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN690-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 07:39:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % SZS status Unsatisfiable
% 0.13/0.36 % SZS output begin IncompleteProof
% 0.13/0.36 cnf(c0, axiom,
% 0.13/0.36 ~p2(c38,c40)).
% 0.13/0.36 cnf(c1, plain,
% 0.13/0.36 ~p2(c38,c40),
% 0.13/0.36 inference(start, [], [c0])).
% 0.13/0.36
% 0.13/0.36 cnf(c2, axiom,
% 0.13/0.36 ~p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X3),X0))) | ~p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X3),X0))) | ~p35(f10(X1,X4),f30(f32(c42,X1),X2)) | ~p34(c36,X1) | p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4)) | p2(X3,X0)).
% 0.13/0.37 cnf(a0, assumption,
% 0.13/0.37 c38 = X3).
% 0.13/0.37 cnf(a1, assumption,
% 0.13/0.37 c40 = X0).
% 0.13/0.37 cnf(c3, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.37 cnf(c4, plain,
% 0.13/0.37 ~p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X3),X0))) | ~p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X3),X0))) | ~p35(f10(X1,X4),f30(f32(c42,X1),X2)) | ~p34(c36,X1) | p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4)),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.37
% 0.13/0.37 cnf(c5, axiom,
% 0.13/0.37 p4(f5(c40,X5),f5(f7(c39,c40),X5))).
% 0.13/0.37 cnf(a2, assumption,
% 0.13/0.37 f5(X0,f18(f20(f22(f24(c45,X1),X2),X3),X0)) = f5(c40,X5)).
% 0.13/0.37 cnf(a3, assumption,
% 0.13/0.37 f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X3),X0)) = f5(f7(c39,c40),X5)).
% 0.13/0.37 cnf(c6, plain,
% 0.13/0.37 ~p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X3),X0))) | ~p35(f10(X1,X4),f30(f32(c42,X1),X2)) | ~p34(c36,X1) | p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4)),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.13/0.37 cnf(c7, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.13/0.37
% 0.13/0.37 cnf(c8, axiom,
% 0.13/0.37 p4(f5(c38,X6),f5(f7(c39,c38),X6))).
% 0.13/0.37 cnf(a4, assumption,
% 0.13/0.37 f5(X3,f18(f20(f22(f24(c45,X1),X2),X3),X0)) = f5(c38,X6)).
% 0.13/0.37 cnf(a5, assumption,
% 0.13/0.37 f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X3),X0)) = f5(f7(c39,c38),X6)).
% 0.13/0.37 cnf(c9, plain,
% 0.13/0.37 ~p35(f10(X1,X4),f30(f32(c42,X1),X2)) | ~p34(c36,X1) | p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4)),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 0.13/0.37 cnf(c10, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 0.13/0.37
% 0.13/0.37 cnf(c11, axiom,
% 0.13/0.37 p35(f10(c37,f12(f14(f16(c41,X7),X8),X9)),X9) | p4(f5(f7(c39,X7),X9),f5(f7(c39,X8),X9))).
% 0.13/0.37 cnf(a6, assumption,
% 0.13/0.37 f10(X1,X4) = f10(c37,f12(f14(f16(c41,X7),X8),X9))).
% 0.13/0.37 cnf(a7, assumption,
% 0.13/0.37 f30(f32(c42,X1),X2) = X9).
% 0.13/0.37 cnf(c12, plain,
% 0.13/0.37 ~p34(c36,X1) | p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4)),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 0.13/0.37 cnf(c13, plain,
% 0.13/0.37 p4(f5(f7(c39,X7),X9),f5(f7(c39,X8),X9)),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 0.13/0.37
% 0.13/0.37 cnf(c14, axiom,
% 0.13/0.37 ~p4(f5(f7(X10,f26(f28(c43,X11),X10)),f30(f32(c42,X11),X10)),f5(f7(X10,f26(f28(c44,X11),X10)),f30(f32(c42,X11),X10))) | ~p4(f5(X12,f18(f20(f22(f24(c45,X11),X10),X13),X12)),f5(f7(X10,X12),f18(f20(f22(f24(c45,X11),X10),X13),X12))) | ~p4(f5(X13,f18(f20(f22(f24(c45,X11),X10),X13),X12)),f5(f7(X10,X13),f18(f20(f22(f24(c45,X11),X10),X13),X12))) | ~p34(c36,X11) | p2(X13,X12)).
% 0.13/0.37 cnf(a8, assumption,
% 0.13/0.37 f5(f7(c39,X7),X9) = f5(f7(X10,f26(f28(c43,X11),X10)),f30(f32(c42,X11),X10))).
% 0.13/0.37 cnf(a9, assumption,
% 0.13/0.37 f5(f7(c39,X8),X9) = f5(f7(X10,f26(f28(c44,X11),X10)),f30(f32(c42,X11),X10))).
% 0.13/0.37 cnf(c15, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 0.13/0.37 cnf(c16, plain,
% 0.13/0.37 ~p4(f5(X12,f18(f20(f22(f24(c45,X11),X10),X13),X12)),f5(f7(X10,X12),f18(f20(f22(f24(c45,X11),X10),X13),X12))) | ~p4(f5(X13,f18(f20(f22(f24(c45,X11),X10),X13),X12)),f5(f7(X10,X13),f18(f20(f22(f24(c45,X11),X10),X13),X12))) | ~p34(c36,X11) | p2(X13,X12),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 0.13/0.37
% 0.13/0.37 cnf(c17, plain,
% 0.13/0.37 p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X3),X0)))).
% 0.13/0.37 cnf(a10, assumption,
% 0.13/0.37 f5(X12,f18(f20(f22(f24(c45,X11),X10),X13),X12)) = f5(X0,f18(f20(f22(f24(c45,X1),X2),X3),X0))).
% 0.13/0.37 cnf(a11, assumption,
% 0.13/0.37 f5(f7(X10,X12),f18(f20(f22(f24(c45,X11),X10),X13),X12)) = f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X3),X0))).
% 0.13/0.37 cnf(c18, plain,
% 0.13/0.37 ~p4(f5(X13,f18(f20(f22(f24(c45,X11),X10),X13),X12)),f5(f7(X10,X13),f18(f20(f22(f24(c45,X11),X10),X13),X12))) | ~p34(c36,X11) | p2(X13,X12),
% 0.13/0.37 inference(predicate_reduction, [assumptions([a10, a11])], [c16, c17])).
% 0.13/0.37
% 0.13/0.37 cnf(c19, plain,
% 0.13/0.37 p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X3),X0)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X3),X0)))).
% 0.13/0.37 cnf(a12, assumption,
% 0.13/0.37 f5(X13,f18(f20(f22(f24(c45,X11),X10),X13),X12)) = f5(X3,f18(f20(f22(f24(c45,X1),X2),X3),X0))).
% 0.13/0.37 cnf(a13, assumption,
% 0.13/0.37 f5(f7(X10,X13),f18(f20(f22(f24(c45,X11),X10),X13),X12)) = f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X3),X0))).
% 0.13/0.37 cnf(c20, plain,
% 0.13/0.37 ~p34(c36,X11) | p2(X13,X12),
% 0.13/0.37 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c19])).
% 0.13/0.37
% 0.13/0.37 cnf(c21, axiom,
% 0.13/0.37 p34(c36,c37)).
% 0.13/0.37 cnf(a14, assumption,
% 0.13/0.37 c36 = c36).
% 0.13/0.37 cnf(a15, assumption,
% 0.13/0.37 X11 = c37).
% 0.13/0.37 cnf(c22, plain,
% 0.13/0.37 p2(X13,X12),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a14, a15])], [c20, c21])).
% 0.13/0.37 cnf(c23, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a14, a15])], [c20, c21])).
% 0.13/0.37
% 0.13/0.37 cnf(c24, plain,
% 0.13/0.37 ~p2(c38,c40)).
% 0.13/0.37 cnf(a16, assumption,
% 0.13/0.37 X13 = c38).
% 0.13/0.37 cnf(a17, assumption,
% 0.13/0.37 X12 = c40).
% 0.13/0.37 cnf(c25, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(predicate_reduction, [assumptions([a16, a17])], [c22, c24])).
% 0.13/0.37
% 0.13/0.37 cnf(c26, plain,
% 0.13/0.37 p34(c36,X11)).
% 0.13/0.37 cnf(a18, assumption,
% 0.13/0.37 c36 = c36).
% 0.13/0.37 cnf(a19, assumption,
% 0.13/0.37 X1 = X11).
% 0.13/0.37 cnf(c27, plain,
% 0.13/0.37 p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4)),
% 0.13/0.37 inference(predicate_reduction, [assumptions([a18, a19])], [c12, c26])).
% 0.13/0.37
% 0.13/0.37 cnf(c28, axiom,
% 0.13/0.37 ~p4(f5(X14,f12(f14(f16(c41,X14),X15),X16)),f5(X15,f12(f14(f16(c41,X14),X15),X16))) | p4(f5(f7(c39,X14),X16),f5(f7(c39,X15),X16))).
% 0.13/0.37 cnf(a20, assumption,
% 0.13/0.37 f5(f26(f28(c43,X1),X2),X4) = f5(X14,f12(f14(f16(c41,X14),X15),X16))).
% 0.13/0.37 cnf(a21, assumption,
% 0.13/0.37 f5(f26(f28(c44,X1),X2),X4) = f5(X15,f12(f14(f16(c41,X14),X15),X16))).
% 0.13/0.37 cnf(c29, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a20, a21])], [c27, c28])).
% 0.13/0.37 cnf(c30, plain,
% 0.13/0.37 p4(f5(f7(c39,X14),X16),f5(f7(c39,X15),X16)),
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a20, a21])], [c27, c28])).
% 0.13/0.37
% 0.13/0.37 cnf(c31, plain,
% 0.13/0.37 ~p4(f5(f7(c39,X7),X9),f5(f7(c39,X8),X9))).
% 0.13/0.37 cnf(a22, assumption,
% 0.13/0.37 f5(f7(c39,X14),X16) = f5(f7(c39,X7),X9)).
% 0.13/0.37 cnf(a23, assumption,
% 0.13/0.37 f5(f7(c39,X15),X16) = f5(f7(c39,X8),X9)).
% 0.13/0.37 cnf(c32, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(predicate_reduction, [assumptions([a22, a23])], [c30, c31])).
% 0.13/0.37
% 0.13/0.37 cnf(c33, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(constraint_solving, [
% 0.13/0.37 bind(X0, c40),
% 0.13/0.37 bind(X1, c37),
% 0.13/0.37 bind(X2, c39),
% 0.13/0.37 bind(X3, c38),
% 0.13/0.37 bind(X4, f12(f14(f16(c41,X7),X8),X9)),
% 0.13/0.37 bind(X5, f18(f20(f22(f24(c45,X1),X2),X3),X0)),
% 0.13/0.37 bind(X6, f18(f20(f22(f24(c45,X1),X2),X3),X0)),
% 0.13/0.37 bind(X7, f26(f28(c43,X11),X10)),
% 0.13/0.37 bind(X8, f26(f28(c44,X11),X10)),
% 0.13/0.37 bind(X9, f30(f32(c42,X1),X2)),
% 0.13/0.37 bind(X10, c39),
% 0.13/0.37 bind(X11, c37),
% 0.13/0.37 bind(X12, c40),
% 0.13/0.37 bind(X13, c38),
% 0.13/0.37 bind(X14, f26(f28(c43,X1),X2)),
% 0.13/0.37 bind(X15, f26(f28(c44,X11),X10)),
% 0.13/0.37 bind(X16, f30(f32(c42,X1),X2))
% 0.13/0.37 ],
% 0.13/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])).
% 0.13/0.37
% 0.13/0.37 % SZS output end IncompleteProof
%------------------------------------------------------------------------------