TSTP Solution File: GRP014-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.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 : 300s
% DateTime : Fri Sep 1 15:38:21 EDT 2023
% Result : Unsatisfiable 14.03s 2.38s
% Output : Refutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 2
% Syntax : Number of formulae : 146 ( 146 unt; 0 def)
% Number of atoms : 146 ( 145 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 490 (; 490 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75269,plain,
$false,
inference(trivial_inequality_removal,[],[f75111]) ).
fof(f75111,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(superposition,[],[f2,f19354]) ).
fof(f19354,plain,
! [X136,X137,X135] : multiply(X135,multiply(X136,X137)) = multiply(multiply(X135,X136),X137),
inference(forward_demodulation,[],[f19353,f13901]) ).
fof(f13901,plain,
! [X317,X316] : multiply(inverse(X317),multiply(X317,X316)) = X316,
inference(forward_demodulation,[],[f13900,f13214]) ).
fof(f13214,plain,
! [X704] : inverse(inverse(inverse(inverse(X704)))) = X704,
inference(forward_demodulation,[],[f13213,f12990]) ).
fof(f12990,plain,
! [X294,X293] : inverse(inverse(X294)) = multiply(X294,inverse(inverse(inverse(inverse(multiply(X293,inverse(X293))))))),
inference(forward_demodulation,[],[f12989,f11007]) ).
fof(f11007,plain,
! [X38,X37,X35] : inverse(inverse(X37)) = multiply(X37,multiply(inverse(inverse(X35)),multiply(inverse(X38),multiply(X38,inverse(X35))))),
inference(forward_demodulation,[],[f10844,f10979]) ).
fof(f10979,plain,
! [X414,X416] : inverse(inverse(X414)) = multiply(X414,multiply(X416,inverse(X416))),
inference(forward_demodulation,[],[f10794,f67]) ).
fof(f67,plain,
! [X11,X14,X15,X13] : inverse(multiply(multiply(inverse(multiply(inverse(X13),multiply(inverse(X11),multiply(X11,X14)))),X15),inverse(multiply(X13,X15)))) = X14,
inference(superposition,[],[f27,f27]) ).
fof(f27,plain,
! [X2,X0,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),multiply(inverse(X0),X2)))),X5),inverse(multiply(X4,X5)))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/tmp/tmp.G1EWFnfiiL/Vampire---4.8_1771',group_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X0)),X2))),X3),inverse(multiply(X1,X3)))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f10794,plain,
! [X414,X418,X417,X415,X416] : inverse(inverse(X414)) = multiply(X414,inverse(multiply(multiply(inverse(multiply(inverse(X417),multiply(inverse(X415),multiply(X415,multiply(X416,inverse(X416)))))),X418),inverse(multiply(X417,X418))))),
inference(superposition,[],[f1,f10085]) ).
fof(f10085,plain,
! [X34,X32,X33] : multiply(X32,inverse(X32)) = multiply(inverse(X34),multiply(X34,multiply(X33,inverse(X33)))),
inference(superposition,[],[f4334,f10022]) ).
fof(f10022,plain,
! [X378,X376] : multiply(X376,inverse(X376)) = multiply(X378,inverse(X378)),
inference(forward_demodulation,[],[f9988,f9969]) ).
fof(f9969,plain,
! [X283,X286,X285,X284] : inverse(X284) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X283,inverse(X283)))))),multiply(inverse(inverse(inverse(X285))),X285))),X286),inverse(multiply(inverse(X284),X286)))),
inference(superposition,[],[f316,f5777]) ).
fof(f5777,plain,
! [X515,X517,X516] : multiply(inverse(inverse(inverse(X517))),X517) = multiply(inverse(inverse(inverse(multiply(X516,inverse(X516))))),multiply(X515,inverse(X515))),
inference(superposition,[],[f5123,f5402]) ).
fof(f5402,plain,
! [X28,X26] : inverse(multiply(X28,inverse(X28))) = inverse(multiply(X26,inverse(X26))),
inference(superposition,[],[f4388,f1]) ).
fof(f4388,plain,
! [X14,X15,X13] : inverse(multiply(X14,inverse(X14))) = inverse(multiply(multiply(inverse(X13),X15),inverse(multiply(inverse(X13),X15)))),
inference(superposition,[],[f67,f4334]) ).
fof(f5123,plain,
! [X314,X313] : multiply(inverse(inverse(inverse(X313))),X313) = multiply(inverse(inverse(inverse(X314))),X314),
inference(forward_demodulation,[],[f5072,f4334]) ).
fof(f5072,plain,
! [X316,X315,X314,X313] : multiply(inverse(inverse(inverse(X313))),X313) = multiply(inverse(inverse(inverse(X314))),multiply(inverse(X316),multiply(X316,multiply(X314,inverse(multiply(X315,inverse(X315))))))),
inference(superposition,[],[f103,f4335]) ).
fof(f4335,plain,
! [X160,X158,X159] : multiply(inverse(inverse(X159)),multiply(inverse(X160),multiply(X160,inverse(multiply(X158,inverse(X158)))))) = X159,
inference(forward_demodulation,[],[f4308,f4016]) ).
fof(f4016,plain,
! [X50,X51,X52,X53] : multiply(inverse(inverse(X53)),multiply(inverse(multiply(inverse(inverse(X50)),multiply(inverse(X52),multiply(X52,X51)))),multiply(X50,X51))) = X53,
inference(superposition,[],[f3981,f98]) ).
fof(f98,plain,
! [X10,X12,X13] : multiply(inverse(X13),multiply(X13,X12)) = multiply(inverse(X10),multiply(X10,X12)),
inference(superposition,[],[f83,f27]) ).
fof(f83,plain,
! [X11,X14,X12] : multiply(inverse(inverse(X11)),multiply(inverse(X11),X12)) = multiply(inverse(X14),multiply(X14,X12)),
inference(superposition,[],[f29,f27]) ).
fof(f29,plain,
! [X2,X1,X4,X5] : multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f3981,plain,
! [X412,X411,X409] : multiply(inverse(inverse(X409)),multiply(inverse(multiply(inverse(X411),multiply(X411,X412))),X412)) = X409,
inference(forward_demodulation,[],[f3879,f29]) ).
fof(f3879,plain,
! [X412,X411,X410,X409,X407,X408] : multiply(inverse(inverse(multiply(inverse(X407),multiply(X407,inverse(multiply(multiply(inverse(multiply(inverse(X408),X409)),X410),inverse(multiply(X408,X410)))))))),multiply(inverse(multiply(inverse(X411),multiply(X411,X412))),X412)) = X409,
inference(superposition,[],[f29,f3638]) ).
fof(f3638,plain,
! [X21,X24,X22,X23] : multiply(inverse(multiply(inverse(X23),multiply(X23,X24))),X24) = multiply(inverse(multiply(inverse(X21),multiply(X21,X22))),X22),
inference(superposition,[],[f191,f3557]) ).
fof(f3557,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(forward_demodulation,[],[f3477,f29]) ).
fof(f3477,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X5),multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))),inverse(X3)))) = X1,
inference(superposition,[],[f443,f29]) ).
fof(f443,plain,
! [X28,X29,X26,X27,X30] : multiply(X30,inverse(multiply(multiply(inverse(X29),multiply(X29,X28)),inverse(multiply(inverse(X30),multiply(multiply(inverse(X26),multiply(X26,X27)),X28)))))) = X27,
inference(superposition,[],[f119,f98]) ).
fof(f119,plain,
! [X14,X15,X12,X13] : multiply(X12,inverse(multiply(multiply(inverse(multiply(inverse(X14),multiply(X14,X13))),X15),inverse(multiply(inverse(X12),X15))))) = X13,
inference(superposition,[],[f1,f83]) ).
fof(f191,plain,
! [X36,X34,X35,X32,X33] : multiply(X32,X33) = multiply(inverse(X35),multiply(X35,inverse(multiply(multiply(inverse(multiply(inverse(X34),multiply(X34,X33))),X36),inverse(multiply(X32,X36)))))),
inference(superposition,[],[f29,f98]) ).
fof(f4308,plain,
! [X155,X160,X158,X159,X156,X157] : multiply(inverse(inverse(X159)),multiply(inverse(X160),multiply(X160,inverse(multiply(X158,inverse(X158)))))) = multiply(inverse(inverse(X159)),multiply(inverse(multiply(inverse(inverse(X155)),multiply(inverse(X156),multiply(X156,X157)))),multiply(X155,X157))),
inference(superposition,[],[f248,f3584]) ).
fof(f3584,plain,
! [X50,X51,X52,X53] : multiply(X50,X51) = multiply(multiply(inverse(inverse(X50)),multiply(inverse(X52),multiply(X52,X51))),inverse(multiply(X53,inverse(X53)))),
inference(superposition,[],[f3557,f98]) ).
fof(f248,plain,
! [X8,X6,X7,X5] : multiply(inverse(inverse(X5)),multiply(inverse(X8),multiply(X8,X6))) = multiply(inverse(inverse(X5)),multiply(inverse(X7),multiply(X7,X6))),
inference(superposition,[],[f161,f98]) ).
fof(f161,plain,
! [X18,X19,X17,X20] : multiply(inverse(X20),multiply(X20,multiply(X17,X18))) = multiply(inverse(inverse(X17)),multiply(inverse(X19),multiply(X19,X18))),
inference(superposition,[],[f98,f98]) ).
fof(f103,plain,
! [X21,X24,X22,X23] : multiply(inverse(X24),multiply(X24,multiply(inverse(X21),X22))) = multiply(inverse(inverse(inverse(X21))),multiply(inverse(X23),multiply(X23,X22))),
inference(superposition,[],[f83,f83]) ).
fof(f316,plain,
! [X21,X19,X17,X20] : inverse(multiply(multiply(inverse(multiply(inverse(X20),multiply(X20,multiply(X17,X19)))),X21),inverse(multiply(inverse(X17),X21)))) = X19,
inference(superposition,[],[f27,f161]) ).
fof(f9988,plain,
! [X379,X378,X377,X376,X375] : multiply(X376,inverse(X376)) = multiply(X378,inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X375,inverse(X375)))))),multiply(inverse(inverse(inverse(X377))),X377))),X379),inverse(multiply(inverse(X378),X379))))),
inference(superposition,[],[f119,f5777]) ).
fof(f4334,plain,
! [X126,X124,X125] : multiply(inverse(X125),multiply(X125,multiply(X126,inverse(multiply(X124,inverse(X124)))))) = X126,
inference(forward_demodulation,[],[f4303,f4016]) ).
fof(f4303,plain,
! [X121,X126,X124,X125,X122,X123] : multiply(inverse(X125),multiply(X125,multiply(X126,inverse(multiply(X124,inverse(X124)))))) = multiply(inverse(inverse(X126)),multiply(inverse(multiply(inverse(inverse(X121)),multiply(inverse(X122),multiply(X122,X123)))),multiply(X121,X123))),
inference(superposition,[],[f161,f3584]) ).
fof(f10844,plain,
! [X38,X36,X37,X35] : multiply(X37,multiply(inverse(inverse(X35)),multiply(inverse(X38),multiply(X38,inverse(X35))))) = multiply(X37,multiply(X36,inverse(X36))),
inference(superposition,[],[f1389,f10085]) ).
fof(f1389,plain,
! [X28,X29,X26,X27,X30] : multiply(X29,multiply(inverse(X30),multiply(X30,multiply(X26,X27)))) = multiply(X29,multiply(inverse(inverse(X26)),multiply(inverse(X28),multiply(X28,X27)))),
inference(superposition,[],[f1187,f98]) ).
fof(f1187,plain,
! [X11,X14,X15,X13] : multiply(X11,multiply(inverse(X13),multiply(X13,X14))) = multiply(X11,multiply(inverse(X15),multiply(X15,X14))),
inference(superposition,[],[f973,f27]) ).
fof(f973,plain,
! [X11,X14,X15,X13] : multiply(inverse(X11),multiply(inverse(X15),multiply(X15,X14))) = multiply(inverse(X11),multiply(inverse(X13),multiply(X13,X14))),
inference(superposition,[],[f248,f27]) ).
fof(f12989,plain,
! [X296,X294,X293,X292] : multiply(X294,multiply(inverse(inverse(X292)),multiply(inverse(X296),multiply(X296,inverse(X292))))) = multiply(X294,inverse(inverse(inverse(inverse(multiply(X293,inverse(X293))))))),
inference(forward_demodulation,[],[f12712,f11013]) ).
fof(f11013,plain,
! [X90,X89] : inverse(inverse(inverse(inverse(X90)))) = multiply(inverse(X89),multiply(X89,inverse(inverse(X90)))),
inference(forward_demodulation,[],[f11012,f10979]) ).
fof(f11012,plain,
! [X90,X89,X87] : inverse(inverse(inverse(inverse(X90)))) = multiply(inverse(X89),multiply(X89,multiply(X90,multiply(X87,inverse(X87))))),
inference(forward_demodulation,[],[f10856,f10979]) ).
fof(f10856,plain,
! [X90,X88,X89,X87] : multiply(inverse(X89),multiply(X89,multiply(X90,multiply(X87,inverse(X87))))) = multiply(inverse(inverse(X90)),multiply(X88,inverse(X88))),
inference(superposition,[],[f161,f10085]) ).
fof(f12712,plain,
! [X296,X294,X295,X293,X292] : multiply(X294,multiply(inverse(inverse(X292)),multiply(inverse(X296),multiply(X296,inverse(X292))))) = multiply(X294,multiply(inverse(X295),multiply(X295,inverse(inverse(multiply(X293,inverse(X293))))))),
inference(superposition,[],[f1389,f11786]) ).
fof(f11786,plain,
! [X63,X64] : multiply(X64,inverse(X64)) = inverse(inverse(multiply(X63,inverse(X63)))),
inference(superposition,[],[f11447,f10085]) ).
fof(f11447,plain,
! [X11,X9] : inverse(inverse(X9)) = multiply(inverse(X11),multiply(X11,X9)),
inference(superposition,[],[f11183,f27]) ).
fof(f11183,plain,
! [X16,X17] : inverse(inverse(inverse(X16))) = multiply(inverse(X17),multiply(X17,inverse(X16))),
inference(superposition,[],[f10979,f98]) ).
fof(f13213,plain,
! [X704,X702] : inverse(inverse(multiply(X704,inverse(inverse(inverse(inverse(multiply(X702,inverse(X702))))))))) = X704,
inference(forward_demodulation,[],[f12923,f10979]) ).
fof(f12923,plain,
! [X703,X704,X702] : inverse(inverse(multiply(X704,inverse(multiply(inverse(multiply(X702,inverse(X702))),multiply(X703,inverse(X703))))))) = X704,
inference(superposition,[],[f11784,f11786]) ).
fof(f11784,plain,
! [X58,X57] : inverse(inverse(multiply(X57,inverse(multiply(X58,inverse(X58)))))) = X57,
inference(superposition,[],[f11447,f4334]) ).
fof(f13900,plain,
! [X317,X316] : multiply(inverse(X317),multiply(X317,inverse(inverse(inverse(inverse(X316)))))) = X316,
inference(forward_demodulation,[],[f13899,f10979]) ).
fof(f13899,plain,
! [X317,X316,X315] : multiply(inverse(X317),multiply(X317,inverse(multiply(inverse(X316),multiply(X315,inverse(X315)))))) = X316,
inference(forward_demodulation,[],[f13744,f13775]) ).
fof(f13775,plain,
! [X21,X22] : multiply(inverse(multiply(X22,inverse(X22))),X21) = X21,
inference(forward_demodulation,[],[f13774,f13214]) ).
fof(f13774,plain,
! [X21,X22] : multiply(inverse(multiply(X22,inverse(X22))),inverse(inverse(inverse(inverse(X21))))) = X21,
inference(forward_demodulation,[],[f13599,f13153]) ).
fof(f13153,plain,
! [X485,X486] : inverse(inverse(X485)) = multiply(X485,inverse(multiply(X486,inverse(X486)))),
inference(forward_demodulation,[],[f13152,f12990]) ).
fof(f13152,plain,
! [X485,X483,X486] : multiply(X485,inverse(multiply(X486,inverse(X486)))) = multiply(X485,inverse(inverse(inverse(inverse(multiply(X483,inverse(X483))))))),
inference(forward_demodulation,[],[f12866,f10979]) ).
fof(f12866,plain,
! [X485,X484,X483,X486] : multiply(X485,inverse(multiply(X486,inverse(X486)))) = multiply(X485,inverse(multiply(inverse(multiply(X483,inverse(X483))),multiply(X484,inverse(X484))))),
inference(superposition,[],[f4328,f11786]) ).
fof(f4328,plain,
! [X38,X36,X37] : multiply(X37,inverse(multiply(X36,inverse(X36)))) = multiply(X37,inverse(multiply(X38,inverse(X38)))),
inference(forward_demodulation,[],[f4205,f3981]) ).
fof(f4205,plain,
! [X38,X36,X37,X34,X35] : multiply(X37,inverse(multiply(X36,inverse(X36)))) = multiply(multiply(inverse(inverse(X37)),multiply(inverse(multiply(inverse(X34),multiply(X34,X35))),X35)),inverse(multiply(X38,inverse(X38)))),
inference(superposition,[],[f3584,f3557]) ).
fof(f13599,plain,
! [X21,X22,X23] : multiply(inverse(multiply(X22,inverse(X22))),inverse(multiply(inverse(X21),inverse(multiply(X23,inverse(X23)))))) = X21,
inference(superposition,[],[f13017,f4328]) ).
fof(f13017,plain,
! [X381,X384] : multiply(X381,inverse(multiply(inverse(X384),X381))) = X384,
inference(forward_demodulation,[],[f13016,f12956]) ).
fof(f12956,plain,
! [X180,X182] : inverse(multiply(inverse(X182),inverse(inverse(inverse(multiply(X180,inverse(X180))))))) = X182,
inference(forward_demodulation,[],[f12955,f12437]) ).
fof(f12437,plain,
! [X7,X5] : inverse(X7) = multiply(inverse(multiply(inverse(X5),inverse(inverse(X7)))),inverse(X5)),
inference(forward_demodulation,[],[f12248,f11447]) ).
fof(f12248,plain,
! [X6,X7,X5] : inverse(X7) = multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X6)),multiply(inverse(X6),X7)))),inverse(X5)),
inference(superposition,[],[f11784,f27]) ).
fof(f12955,plain,
! [X180,X179,X182] : inverse(multiply(multiply(inverse(multiply(inverse(X179),inverse(inverse(X182)))),inverse(X179)),inverse(inverse(inverse(multiply(X180,inverse(X180))))))) = X182,
inference(forward_demodulation,[],[f12685,f11447]) ).
fof(f12685,plain,
! [X180,X181,X179,X182] : inverse(multiply(multiply(inverse(multiply(inverse(X179),multiply(inverse(inverse(X181)),multiply(inverse(X181),X182)))),inverse(X179)),inverse(inverse(inverse(multiply(X180,inverse(X180))))))) = X182,
inference(superposition,[],[f27,f11786]) ).
fof(f13016,plain,
! [X381,X384,X382] : multiply(X381,inverse(multiply(inverse(inverse(multiply(inverse(X384),X381))),inverse(inverse(inverse(multiply(X382,inverse(X382)))))))) = X384,
inference(forward_demodulation,[],[f13015,f11736]) ).
fof(f11736,plain,
! [X91,X92] : inverse(inverse(multiply(X91,X92))) = multiply(inverse(inverse(X91)),inverse(inverse(X92))),
inference(superposition,[],[f11447,f11447]) ).
fof(f13015,plain,
! [X381,X384,X382] : multiply(X381,inverse(multiply(multiply(inverse(inverse(inverse(X384))),inverse(inverse(X381))),inverse(inverse(inverse(multiply(X382,inverse(X382)))))))) = X384,
inference(forward_demodulation,[],[f12735,f11447]) ).
fof(f12735,plain,
! [X381,X384,X383,X382] : multiply(X381,inverse(multiply(multiply(inverse(multiply(inverse(X383),multiply(X383,X384))),inverse(inverse(X381))),inverse(inverse(inverse(multiply(X382,inverse(X382)))))))) = X384,
inference(superposition,[],[f119,f11786]) ).
fof(f13744,plain,
! [X318,X317,X316,X315] : multiply(inverse(X317),multiply(X317,inverse(multiply(inverse(X316),multiply(X315,inverse(X315)))))) = multiply(inverse(multiply(X318,inverse(X318))),X316),
inference(superposition,[],[f5710,f13017]) ).
fof(f5710,plain,
! [X180,X178,X179,X177] : multiply(inverse(X179),multiply(X179,X180)) = multiply(inverse(multiply(X178,inverse(X178))),multiply(multiply(X177,inverse(X177)),X180)),
inference(superposition,[],[f98,f5402]) ).
fof(f19353,plain,
! [X138,X136,X137,X135] : multiply(multiply(X135,X136),X137) = multiply(inverse(X138),multiply(X138,multiply(X135,multiply(X136,X137)))),
inference(forward_demodulation,[],[f19352,f13954]) ).
fof(f13954,plain,
! [X80,X79] : multiply(X79,X80) = multiply(X79,inverse(inverse(X80))),
inference(superposition,[],[f13787,f13787]) ).
fof(f13787,plain,
! [X80,X81] : multiply(multiply(X80,inverse(X81)),X81) = X80,
inference(forward_demodulation,[],[f13616,f13214]) ).
fof(f13616,plain,
! [X80,X81] : multiply(multiply(X80,inverse(X81)),inverse(inverse(inverse(inverse(X81))))) = X80,
inference(superposition,[],[f13017,f11183]) ).
fof(f19352,plain,
! [X138,X136,X137,X135] : multiply(multiply(X135,X136),X137) = multiply(inverse(X138),multiply(X138,multiply(X135,multiply(X136,inverse(inverse(X137)))))),
inference(forward_demodulation,[],[f19351,f11447]) ).
fof(f19351,plain,
! [X138,X139,X136,X137,X135] : multiply(multiply(X135,X136),X137) = multiply(inverse(X138),multiply(X138,multiply(X135,multiply(X136,multiply(inverse(X139),multiply(X139,X137)))))),
inference(forward_demodulation,[],[f19027,f16737]) ).
fof(f16737,plain,
! [X271,X269,X268] : multiply(X271,multiply(X268,X269)) = inverse(multiply(multiply(inverse(X269),inverse(X268)),inverse(X271))),
inference(forward_demodulation,[],[f16736,f15168]) ).
fof(f15168,plain,
! [X155,X153] : multiply(inverse(X153),X155) = inverse(multiply(inverse(X155),X153)),
inference(forward_demodulation,[],[f15167,f14269]) ).
fof(f14269,plain,
! [X263,X262,X264] : inverse(multiply(multiply(inverse(multiply(inverse(X262),X263)),X264),inverse(multiply(X262,X264)))) = X263,
inference(forward_demodulation,[],[f14268,f13023]) ).
fof(f13023,plain,
! [X402,X399] : inverse(multiply(inverse(multiply(X399,X402)),X399)) = X402,
inference(forward_demodulation,[],[f13022,f11259]) ).
fof(f11259,plain,
! [X242,X241] : multiply(inverse(inverse(X242)),inverse(inverse(inverse(multiply(X241,inverse(X241)))))) = X242,
inference(superposition,[],[f4335,f10979]) ).
fof(f13022,plain,
! [X402,X399,X400] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X399,X402)),X399))),inverse(inverse(inverse(multiply(X400,inverse(X400))))))) = X402,
inference(forward_demodulation,[],[f13021,f11736]) ).
fof(f13021,plain,
! [X402,X399,X400] : inverse(multiply(multiply(inverse(inverse(inverse(multiply(X399,X402)))),inverse(inverse(X399))),inverse(inverse(inverse(multiply(X400,inverse(X400))))))) = X402,
inference(forward_demodulation,[],[f12739,f11447]) ).
fof(f12739,plain,
! [X402,X401,X399,X400] : inverse(multiply(multiply(inverse(multiply(inverse(X401),multiply(X401,multiply(X399,X402)))),inverse(inverse(X399))),inverse(inverse(inverse(multiply(X400,inverse(X400))))))) = X402,
inference(superposition,[],[f316,f11786]) ).
fof(f14268,plain,
! [X263,X262,X264,X261] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X261,inverse(multiply(inverse(X262),X263)))),X261)),X264),inverse(multiply(X262,X264)))) = X263,
inference(forward_demodulation,[],[f14267,f13954]) ).
fof(f14267,plain,
! [X263,X262,X264,X261] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X261,inverse(multiply(inverse(X262),X263)))),X261)),X264),inverse(inverse(inverse(multiply(X262,X264)))))) = X263,
inference(forward_demodulation,[],[f14035,f14155]) ).
fof(f14155,plain,
! [X77,X75] : multiply(inverse(inverse(X77)),X75) = inverse(inverse(multiply(X77,X75))),
inference(forward_demodulation,[],[f14154,f11447]) ).
fof(f14154,plain,
! [X76,X77,X75] : multiply(inverse(X76),multiply(X76,multiply(X77,X75))) = multiply(inverse(inverse(X77)),X75),
inference(forward_demodulation,[],[f14153,f13954]) ).
fof(f14153,plain,
! [X76,X77,X75] : multiply(inverse(X76),multiply(X76,multiply(X77,X75))) = multiply(inverse(inverse(X77)),inverse(inverse(X75))),
inference(forward_demodulation,[],[f13988,f14142]) ).
fof(f14142,plain,
! [X50,X49] : inverse(inverse(X50)) = multiply(inverse(multiply(X49,inverse(X50))),X49),
inference(forward_demodulation,[],[f13981,f11447]) ).
fof(f13981,plain,
! [X50,X51,X49] : multiply(inverse(inverse(X51)),multiply(inverse(X51),X50)) = multiply(inverse(multiply(X49,inverse(X50))),X49),
inference(superposition,[],[f83,f13787]) ).
fof(f13988,plain,
! [X76,X77,X74,X75] : multiply(inverse(X76),multiply(X76,multiply(X77,X75))) = multiply(inverse(inverse(X77)),multiply(inverse(multiply(X74,inverse(X75))),X74)),
inference(superposition,[],[f161,f13787]) ).
fof(f14035,plain,
! [X263,X262,X264,X261] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X261,inverse(multiply(inverse(X262),X263)))),X261)),X264),inverse(multiply(inverse(inverse(X262)),X264)))) = X263,
inference(superposition,[],[f121,f13787]) ).
fof(f121,plain,
! [X24,X22,X25,X23] : inverse(multiply(multiply(inverse(multiply(inverse(X24),multiply(X24,multiply(inverse(X22),X23)))),X25),inverse(multiply(inverse(inverse(X22)),X25)))) = X23,
inference(superposition,[],[f27,f83]) ).
fof(f15167,plain,
! [X155,X153,X158,X157] : inverse(multiply(inverse(X155),X153)) = multiply(inverse(X153),inverse(multiply(multiply(inverse(multiply(inverse(X157),X155)),X158),inverse(multiply(X157,X158))))),
inference(forward_demodulation,[],[f14942,f13677]) ).
fof(f13677,plain,
! [X41,X44,X42,X43] : inverse(multiply(inverse(X42),X41)) = inverse(multiply(multiply(inverse(multiply(inverse(X43),multiply(inverse(X41),X42))),X44),inverse(multiply(X43,X44)))),
inference(superposition,[],[f67,f13017]) ).
fof(f14942,plain,
! [X155,X153,X158,X156,X157,X154] : multiply(inverse(X153),inverse(multiply(multiply(inverse(multiply(inverse(X157),X155)),X158),inverse(multiply(X157,X158))))) = inverse(multiply(multiply(inverse(multiply(inverse(X154),multiply(inverse(X153),X155))),X156),inverse(multiply(X154,X156)))),
inference(superposition,[],[f3,f14564]) ).
fof(f14564,plain,
! [X38] : inverse(inverse(X38)) = X38,
inference(forward_demodulation,[],[f14563,f13214]) ).
fof(f14563,plain,
! [X38] : inverse(inverse(inverse(inverse(inverse(inverse(X38)))))) = X38,
inference(forward_demodulation,[],[f14562,f13751]) ).
fof(f13751,plain,
! [X11,X9] : inverse(inverse(inverse(X9))) = multiply(X11,inverse(multiply(X9,X11))),
inference(forward_demodulation,[],[f13750,f13407]) ).
fof(f13407,plain,
! [X8,X6,X9] : inverse(inverse(inverse(X8))) = multiply(multiply(inverse(multiply(inverse(X6),inverse(inverse(X8)))),X9),inverse(multiply(X6,X9))),
inference(forward_demodulation,[],[f13216,f11447]) ).
fof(f13216,plain,
! [X8,X6,X9,X7] : inverse(inverse(inverse(X8))) = multiply(multiply(inverse(multiply(inverse(X6),multiply(inverse(inverse(X7)),multiply(inverse(X7),X8)))),X9),inverse(multiply(X6,X9))),
inference(superposition,[],[f13214,f27]) ).
fof(f13750,plain,
! [X10,X11,X9,X7] : multiply(multiply(inverse(multiply(inverse(X7),inverse(inverse(X9)))),X10),inverse(multiply(X7,X10))) = multiply(X11,inverse(multiply(X9,X11))),
inference(forward_demodulation,[],[f13570,f11447]) ).
fof(f13570,plain,
! [X10,X11,X8,X9,X7] : multiply(multiply(inverse(multiply(inverse(X7),multiply(inverse(inverse(X8)),multiply(inverse(X8),X9)))),X10),inverse(multiply(X7,X10))) = multiply(X11,inverse(multiply(X9,X11))),
inference(superposition,[],[f13017,f27]) ).
fof(f14562,plain,
! [X38,X36] : inverse(inverse(inverse(multiply(X36,inverse(multiply(X38,X36)))))) = X38,
inference(forward_demodulation,[],[f14561,f14155]) ).
fof(f14561,plain,
! [X38,X36] : inverse(multiply(inverse(inverse(X36)),inverse(multiply(X38,X36)))) = X38,
inference(forward_demodulation,[],[f14560,f11447]) ).
fof(f14560,plain,
! [X38,X36,X35] : inverse(multiply(multiply(inverse(X35),multiply(X35,X36)),inverse(multiply(X38,X36)))) = X38,
inference(forward_demodulation,[],[f14559,f13954]) ).
fof(f14559,plain,
! [X38,X36,X35] : inverse(multiply(multiply(inverse(X35),multiply(X35,X36)),inverse(inverse(inverse(multiply(X38,X36)))))) = X38,
inference(forward_demodulation,[],[f14558,f14155]) ).
fof(f14558,plain,
! [X38,X36,X35] : inverse(multiply(multiply(inverse(X35),multiply(X35,X36)),inverse(multiply(inverse(inverse(X38)),X36)))) = X38,
inference(forward_demodulation,[],[f14557,f11447]) ).
fof(f14557,plain,
! [X38,X36,X37,X35] : inverse(multiply(multiply(inverse(X35),multiply(X35,X36)),inverse(multiply(multiply(inverse(X37),multiply(X37,X38)),X36)))) = X38,
inference(forward_demodulation,[],[f14339,f13775]) ).
fof(f14339,plain,
! [X38,X36,X37,X34,X35] : inverse(multiply(multiply(inverse(X35),multiply(X35,X36)),inverse(multiply(inverse(multiply(X34,inverse(X34))),multiply(multiply(inverse(X37),multiply(X37,X38)),X36))))) = X38,
inference(superposition,[],[f13847,f443]) ).
fof(f13847,plain,
! [X205,X206] : multiply(multiply(X206,inverse(X206)),X205) = X205,
inference(forward_demodulation,[],[f13651,f13214]) ).
fof(f13651,plain,
! [X205,X206] : multiply(multiply(X206,inverse(X206)),inverse(inverse(inverse(inverse(X205))))) = X205,
inference(superposition,[],[f13017,f10979]) ).
fof(f16736,plain,
! [X271,X269,X268] : multiply(X271,multiply(X268,X269)) = inverse(multiply(inverse(multiply(inverse(inverse(X268)),X269)),inverse(X271))),
inference(forward_demodulation,[],[f16735,f15168]) ).
fof(f16735,plain,
! [X271,X269,X268] : multiply(X271,multiply(X268,X269)) = inverse(inverse(multiply(inverse(inverse(X271)),multiply(inverse(inverse(X268)),X269)))),
inference(forward_demodulation,[],[f16734,f13406]) ).
fof(f13406,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3))) = inverse(multiply(inverse(inverse(X1)),X2)),
inference(forward_demodulation,[],[f13215,f11632]) ).
fof(f11632,plain,
! [X2,X1,X4,X5] : multiply(inverse(inverse(X1)),X2) = inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(forward_demodulation,[],[f11446,f51]) ).
fof(f51,plain,
! [X2,X1,X6,X4,X5] : multiply(inverse(inverse(X1)),X2) = multiply(inverse(X6),multiply(X6,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(superposition,[],[f29,f3]) ).
fof(f11446,plain,
! [X2,X1,X6,X4,X5] : multiply(inverse(X6),multiply(X6,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))) = inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(superposition,[],[f11183,f3]) ).
fof(f13215,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3))) = inverse(inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))))),
inference(superposition,[],[f13214,f3]) ).
fof(f16734,plain,
! [X271,X272,X270,X269,X268] : inverse(multiply(multiply(inverse(multiply(inverse(X270),multiply(inverse(inverse(X271)),multiply(inverse(inverse(X268)),X269)))),X272),inverse(multiply(X270,X272)))) = multiply(X271,multiply(X268,X269)),
inference(forward_demodulation,[],[f16733,f15171]) ).
fof(f15171,plain,
! [X162,X161] : multiply(X161,X162) = inverse(multiply(inverse(X162),inverse(X161))),
inference(forward_demodulation,[],[f15170,f15168]) ).
fof(f15170,plain,
! [X162,X161] : multiply(X161,X162) = inverse(inverse(multiply(inverse(inverse(X161)),X162))),
inference(forward_demodulation,[],[f15169,f13406]) ).
fof(f15169,plain,
! [X162,X163,X160,X161] : multiply(X161,X162) = inverse(multiply(multiply(inverse(multiply(inverse(X160),multiply(inverse(inverse(X161)),X162))),X163),inverse(multiply(X160,X163)))),
inference(forward_demodulation,[],[f14943,f14264]) ).
fof(f14264,plain,
! [X254,X256,X255] : inverse(multiply(multiply(inverse(multiply(X254,X255)),X256),inverse(multiply(inverse(X254),X256)))) = X255,
inference(forward_demodulation,[],[f14033,f13023]) ).
fof(f14033,plain,
! [X253,X254,X256,X255] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X253,inverse(multiply(X254,X255)))),X253)),X256),inverse(multiply(inverse(X254),X256)))) = X255,
inference(superposition,[],[f316,f13787]) ).
fof(f14943,plain,
! [X162,X163,X160,X161,X159,X164] : inverse(multiply(multiply(inverse(multiply(inverse(X160),multiply(inverse(inverse(X161)),X162))),X163),inverse(multiply(X160,X163)))) = multiply(X161,inverse(multiply(multiply(inverse(multiply(X159,X162)),X164),inverse(multiply(inverse(X159),X164))))),
inference(superposition,[],[f3,f14564]) ).
fof(f16733,plain,
! [X271,X272,X270,X269,X268] : inverse(multiply(multiply(inverse(multiply(inverse(X270),multiply(inverse(inverse(X271)),multiply(inverse(inverse(X268)),X269)))),X272),inverse(multiply(X270,X272)))) = multiply(X271,inverse(multiply(inverse(X269),inverse(X268)))),
inference(forward_demodulation,[],[f16732,f15171]) ).
fof(f16732,plain,
! [X271,X272,X270,X269,X268] : inverse(multiply(multiply(inverse(multiply(inverse(X270),multiply(inverse(inverse(X271)),multiply(inverse(inverse(X268)),X269)))),X272),inverse(multiply(X270,X272)))) = inverse(multiply(inverse(inverse(multiply(inverse(X269),inverse(X268)))),inverse(X271))),
inference(forward_demodulation,[],[f16409,f13878]) ).
fof(f13878,plain,
! [X202,X201,X206,X204] : multiply(X204,inverse(multiply(multiply(inverse(X202),X206),inverse(multiply(X201,X206))))) = inverse(multiply(inverse(inverse(multiply(inverse(X202),inverse(X201)))),inverse(X204))),
inference(forward_demodulation,[],[f13717,f13677]) ).
fof(f13717,plain,
! [X205,X202,X203,X201,X206,X204] : inverse(multiply(multiply(inverse(multiply(inverse(X203),multiply(inverse(inverse(X204)),inverse(multiply(inverse(X202),inverse(X201)))))),X205),inverse(multiply(X203,X205)))) = multiply(X204,inverse(multiply(multiply(inverse(X202),X206),inverse(multiply(X201,X206))))),
inference(superposition,[],[f3,f13017]) ).
fof(f16409,plain,
! [X273,X271,X272,X270,X269,X268] : inverse(multiply(multiply(inverse(multiply(inverse(X270),multiply(inverse(inverse(X271)),multiply(inverse(inverse(X268)),X269)))),X272),inverse(multiply(X270,X272)))) = multiply(X271,inverse(multiply(multiply(inverse(X269),X273),inverse(multiply(X268,X273))))),
inference(superposition,[],[f3,f13938]) ).
fof(f13938,plain,
! [X38,X37] : multiply(X38,multiply(inverse(X38),X37)) = X37,
inference(superposition,[],[f13787,f13017]) ).
fof(f19027,plain,
! [X138,X139,X136,X137,X135] : multiply(multiply(X135,X136),X137) = multiply(inverse(X138),multiply(X138,inverse(multiply(multiply(inverse(multiply(inverse(X139),multiply(X139,X137))),inverse(X136)),inverse(X135))))),
inference(superposition,[],[f191,f15069]) ).
fof(f15069,plain,
! [X602,X601] : multiply(multiply(X602,X601),inverse(X601)) = X602,
inference(superposition,[],[f13787,f14564]) ).
fof(f2,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/tmp/tmp.G1EWFnfiiL/Vampire---4.8_1771',prove_associativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Aug 30 17:29:32 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.14/0.37 % (1881)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1882)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.37 % (1885)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.37 % (1883)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.37 % (1887)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.37 % (1886)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.37 % (1884)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.37 % (1888)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.44 TRYING [4]
% 7.67/1.48 TRYING [1]
% 7.67/1.48 TRYING [2]
% 7.67/1.48 TRYING [3]
% 7.87/1.50 TRYING [4]
% 8.65/1.64 TRYING [5]
% 13.03/2.24 TRYING [5]
% 14.03/2.37 % (1888)First to succeed.
% 14.03/2.38 % (1888)Refutation found. Thanks to Tanya!
% 14.03/2.38 % SZS status Unsatisfiable for Vampire---4
% 14.03/2.38 % SZS output start Proof for Vampire---4
% See solution above
% 14.03/2.38 % (1888)------------------------------
% 14.03/2.38 % (1888)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 14.03/2.38 % (1888)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 14.03/2.38 % (1888)Termination reason: Refutation
% 14.03/2.38
% 14.03/2.38 % (1888)Memory used [KB]: 49764
% 14.03/2.38 % (1888)Time elapsed: 2.001 s
% 14.03/2.38 % (1888)------------------------------
% 14.03/2.38 % (1888)------------------------------
% 14.03/2.38 % (1881)Success in time 2.051 s
% 14.03/2.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------