TSTP Solution File: GRP432-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% 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 15:55:23 EDT 2023
% Result : Unsatisfiable 3.25s 0.86s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 2
% Syntax : Number of formulae : 148 ( 148 unt; 0 def)
% Number of atoms : 148 ( 147 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 12 ( 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 : 651 (; 651 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9145,plain,
$false,
inference(trivial_inequality_removal,[],[f9133]) ).
fof(f9133,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f4913]) ).
fof(f4913,plain,
! [X8,X9,X12] : multiply(multiply(X8,X9),X12) = multiply(X8,multiply(X9,X12)),
inference(backward_demodulation,[],[f4868,f4912]) ).
fof(f4912,plain,
! [X51,X49,X44,X45] : multiply(X44,multiply(X45,X49)) = multiply(X51,multiply(multiply(inverse(X51),X44),multiply(X45,X49))),
inference(forward_demodulation,[],[f4911,f3829]) ).
fof(f3829,plain,
! [X19,X20] : inverse(multiply(inverse(X20),X19)) = multiply(inverse(X19),X20),
inference(forward_demodulation,[],[f3828,f3737]) ).
fof(f3737,plain,
! [X53] : inverse(inverse(X53)) = X53,
inference(backward_demodulation,[],[f3067,f3736]) ).
fof(f3736,plain,
! [X65,X68] : multiply(multiply(X65,inverse(X65)),X68) = X68,
inference(forward_demodulation,[],[f3735,f3544]) ).
fof(f3544,plain,
! [X9] : inverse(inverse(inverse(inverse(X9)))) = X9,
inference(backward_demodulation,[],[f2419,f3537]) ).
fof(f3537,plain,
! [X16,X13] : multiply(inverse(multiply(X13,inverse(X13))),X16) = inverse(inverse(X16)),
inference(backward_demodulation,[],[f1526,f3532]) ).
fof(f3532,plain,
! [X36,X37,X34,X35] : inverse(multiply(X34,multiply(X35,inverse(multiply(multiply(X36,multiply(X37,inverse(X37))),multiply(X34,X35)))))) = inverse(inverse(X36)),
inference(forward_demodulation,[],[f3531,f2470]) ).
fof(f2470,plain,
! [X10,X7] : multiply(X7,inverse(multiply(inverse(X10),inverse(inverse(X7))))) = X10,
inference(forward_demodulation,[],[f2462,f2064]) ).
fof(f2064,plain,
! [X4,X5] : multiply(X4,inverse(multiply(X5,inverse(X5)))) = X4,
inference(backward_demodulation,[],[f1697,f2022]) ).
fof(f2022,plain,
! [X10,X11] : multiply(inverse(multiply(X11,inverse(X11))),inverse(inverse(X10))) = X10,
inference(superposition,[],[f1681,f725]) ).
fof(f725,plain,
! [X136,X134,X137] : inverse(X134) = multiply(X137,inverse(multiply(inverse(inverse(multiply(X136,inverse(X136)))),multiply(X134,X137)))),
inference(forward_demodulation,[],[f662,f551]) ).
fof(f551,plain,
! [X186,X187,X184,X185] : multiply(multiply(multiply(X186,inverse(X186)),inverse(multiply(multiply(X185,inverse(X185)),inverse(X184)))),multiply(X187,inverse(X187))) = inverse(inverse(X184)),
inference(backward_demodulation,[],[f360,f489]) ).
fof(f489,plain,
! [X111,X108,X109,X107,X110] : inverse(X107) = multiply(X109,inverse(multiply(multiply(multiply(multiply(X110,inverse(X110)),inverse(multiply(X108,inverse(X108)))),multiply(X111,inverse(X111))),multiply(X107,X109)))),
inference(superposition,[],[f4,f457]) ).
fof(f457,plain,
! [X119,X122] : multiply(X119,inverse(X119)) = multiply(X122,inverse(X122)),
inference(backward_demodulation,[],[f210,f428]) ).
fof(f428,plain,
! [X10,X8,X9,X7] : multiply(X7,multiply(multiply(multiply(X8,inverse(X8)),inverse(multiply(multiply(X9,inverse(X9)),X7))),X10)) = X10,
inference(superposition,[],[f3,f194]) ).
fof(f194,plain,
! [X26,X24,X25] : multiply(inverse(X25),inverse(multiply(inverse(X24),multiply(multiply(X26,inverse(X26)),inverse(X25))))) = X24,
inference(superposition,[],[f1,f101]) ).
fof(f101,plain,
! [X3,X4,X5] : multiply(multiply(X5,inverse(X5)),inverse(X3)) = multiply(multiply(X4,inverse(X4)),inverse(X3)),
inference(superposition,[],[f76,f1]) ).
fof(f76,plain,
! [X2,X3,X1,X5] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X3))),
inference(superposition,[],[f32,f4]) ).
fof(f32,plain,
! [X10,X11,X8,X9,X12] : multiply(multiply(X10,inverse(X10)),inverse(multiply(X9,multiply(X11,inverse(multiply(multiply(X8,multiply(X12,inverse(X12))),multiply(X9,X11))))))) = X8,
inference(superposition,[],[f1,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(X0,inverse(X0))) = multiply(X4,inverse(multiply(multiply(X3,multiply(X5,inverse(X5))),multiply(X1,X4)))),
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox2/tmp/tmp.DGya3Pv2sY/Vampire---4.8_32178',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X4)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f210,plain,
! [X120,X121,X119,X122,X123] : multiply(X119,inverse(X119)) = multiply(X122,inverse(multiply(inverse(X120),multiply(multiply(multiply(X123,inverse(X123)),inverse(multiply(multiply(X121,inverse(X121)),inverse(X120)))),X122)))),
inference(superposition,[],[f1,f101]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(X0,inverse(X0))),multiply(X3,X4)))) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f360,plain,
! [X188,X189,X186,X187,X184,X182,X185,X183] : multiply(X188,inverse(multiply(multiply(multiply(multiply(X182,inverse(X182)),inverse(multiply(X183,inverse(X183)))),multiply(X189,inverse(X189))),multiply(inverse(X184),X188)))) = multiply(multiply(multiply(X186,inverse(X186)),inverse(multiply(multiply(X185,inverse(X185)),inverse(X184)))),multiply(X187,inverse(X187))),
inference(superposition,[],[f8,f172]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,inverse(X3)),inverse(X2)) = multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),inverse(X2)),
inference(superposition,[],[f101,f101]) ).
fof(f662,plain,
! [X138,X139,X136,X134,X137,X135] : inverse(X134) = multiply(X137,inverse(multiply(multiply(multiply(multiply(X138,inverse(X138)),inverse(multiply(multiply(X135,inverse(X135)),inverse(multiply(X136,inverse(X136)))))),multiply(X139,inverse(X139))),multiply(X134,X137)))),
inference(superposition,[],[f4,f456]) ).
fof(f456,plain,
! [X162,X163,X166] : multiply(X166,inverse(X166)) = multiply(multiply(X162,inverse(X162)),inverse(multiply(X163,inverse(X163)))),
inference(backward_demodulation,[],[f357,f428]) ).
fof(f357,plain,
! [X162,X163,X166,X167,X164,X165] : multiply(multiply(X162,inverse(X162)),inverse(multiply(X163,inverse(X163)))) = multiply(X166,inverse(multiply(inverse(X164),multiply(multiply(multiply(X167,inverse(X167)),inverse(multiply(multiply(X165,inverse(X165)),inverse(X164)))),X166)))),
inference(superposition,[],[f1,f172]) ).
fof(f1681,plain,
! [X11,X12,X13] : multiply(X11,inverse(multiply(inverse(X13),inverse(multiply(inverse(X11),multiply(X12,inverse(X12))))))) = X13,
inference(superposition,[],[f1591,f503]) ).
fof(f503,plain,
! [X176,X177,X175] : multiply(inverse(multiply(X175,inverse(X175))),inverse(multiply(inverse(X177),multiply(X176,inverse(X176))))) = X177,
inference(superposition,[],[f194,f457]) ).
fof(f1591,plain,
! [X2,X0,X5] : multiply(multiply(inverse(multiply(X2,inverse(X2))),X5),inverse(multiply(inverse(X0),X5))) = X0,
inference(backward_demodulation,[],[f1253,f1527]) ).
fof(f1527,plain,
! [X21,X18,X19,X22,X23,X20] : inverse(multiply(X21,multiply(multiply(multiply(X22,inverse(X22)),inverse(multiply(X23,X21))),multiply(multiply(X18,inverse(X18)),inverse(multiply(multiply(X19,inverse(X19)),X20)))))) = multiply(X20,X23),
inference(superposition,[],[f428,f1]) ).
fof(f1253,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X3))),multiply(multiply(X6,inverse(X6)),inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))))))),inverse(multiply(inverse(X0),X5))) = X0,
inference(superposition,[],[f5,f456]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X3))),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))),inverse(multiply(X2,X5))) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f1697,plain,
! [X6,X4,X5] : multiply(multiply(inverse(multiply(X6,inverse(X6))),inverse(inverse(X4))),inverse(multiply(X5,inverse(X5)))) = X4,
inference(superposition,[],[f1591,f457]) ).
fof(f2462,plain,
! [X10,X9,X7] : multiply(X7,inverse(multiply(inverse(X10),inverse(inverse(multiply(X7,inverse(multiply(X9,inverse(X9))))))))) = X10,
inference(backward_demodulation,[],[f2018,f2023]) ).
fof(f2023,plain,
! [X14,X12,X13] : multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X14)))) = multiply(X14,inverse(X13)),
inference(superposition,[],[f1681,f1]) ).
fof(f2018,plain,
! [X10,X8,X9,X7] : multiply(X7,inverse(multiply(inverse(X10),inverse(inverse(multiply(multiply(X8,inverse(X8)),inverse(multiply(multiply(X9,inverse(X9)),inverse(X7))))))))) = X10,
inference(superposition,[],[f1681,f428]) ).
fof(f3531,plain,
! [X38,X36,X37,X34,X35] : inverse(multiply(X34,multiply(X35,inverse(multiply(multiply(X36,multiply(X37,inverse(X37))),multiply(X34,X35)))))) = multiply(X38,inverse(multiply(inverse(inverse(inverse(X36))),inverse(inverse(X38))))),
inference(forward_demodulation,[],[f3530,f2874]) ).
fof(f2874,plain,
! [X14,X13] : inverse(X13) = multiply(inverse(X13),multiply(X14,inverse(X14))),
inference(superposition,[],[f2419,f503]) ).
fof(f3530,plain,
! [X40,X38,X36,X37,X34,X35] : inverse(multiply(X34,multiply(X35,inverse(multiply(multiply(X36,multiply(X37,inverse(X37))),multiply(X34,X35)))))) = multiply(X38,inverse(multiply(multiply(inverse(inverse(inverse(X36))),multiply(X40,inverse(X40))),inverse(inverse(X38))))),
inference(forward_demodulation,[],[f3068,f3067]) ).
fof(f3068,plain,
! [X40,X38,X39,X36,X37,X34,X35] : inverse(multiply(X34,multiply(X35,inverse(multiply(multiply(X36,multiply(X37,inverse(X37))),multiply(X34,X35)))))) = multiply(X38,inverse(multiply(multiply(multiply(multiply(X39,inverse(X39)),inverse(X36)),multiply(X40,inverse(X40))),inverse(inverse(X38))))),
inference(backward_demodulation,[],[f84,f3067]) ).
fof(f84,plain,
! [X40,X38,X39,X36,X37,X34,X35,X33] : inverse(multiply(X34,multiply(X35,inverse(multiply(multiply(X36,multiply(X37,inverse(X37))),multiply(X34,X35)))))) = multiply(X38,inverse(multiply(multiply(multiply(multiply(X39,inverse(X39)),inverse(X36)),multiply(X40,inverse(X40))),multiply(multiply(X33,inverse(X33)),X38)))),
inference(superposition,[],[f4,f32]) ).
fof(f1526,plain,
! [X16,X14,X17,X15,X13] : inverse(multiply(X14,multiply(X15,inverse(multiply(multiply(X16,multiply(X17,inverse(X17))),multiply(X14,X15)))))) = multiply(inverse(multiply(X13,inverse(X13))),X16),
inference(superposition,[],[f428,f32]) ).
fof(f2419,plain,
! [X9,X7] : inverse(multiply(inverse(multiply(X7,inverse(X7))),inverse(X9))) = X9,
inference(backward_demodulation,[],[f784,f2023]) ).
fof(f784,plain,
! [X8,X9,X7] : inverse(multiply(multiply(X8,inverse(X8)),inverse(multiply(X9,inverse(inverse(multiply(X7,inverse(X7)))))))) = X9,
inference(superposition,[],[f725,f1]) ).
fof(f3735,plain,
! [X65,X68] : multiply(multiply(X65,inverse(X65)),inverse(inverse(inverse(inverse(X68))))) = X68,
inference(forward_demodulation,[],[f3734,f3659]) ).
fof(f3659,plain,
! [X8,X7] : multiply(X7,multiply(X8,inverse(X8))) = inverse(inverse(X7)),
inference(forward_demodulation,[],[f3097,f3533]) ).
fof(f3533,plain,
! [X10,X8] : multiply(multiply(X10,inverse(X10)),inverse(inverse(X8))) = X8,
inference(backward_demodulation,[],[f32,f3532]) ).
fof(f3097,plain,
! [X8,X7,X5] : multiply(X7,multiply(X8,inverse(X8))) = inverse(multiply(multiply(X5,inverse(X5)),inverse(inverse(inverse(X7))))),
inference(backward_demodulation,[],[f1524,f3067]) ).
fof(f1524,plain,
! [X8,X6,X7,X5] : multiply(X7,multiply(X8,inverse(X8))) = inverse(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),X7)))),
inference(superposition,[],[f428,f457]) ).
fof(f3734,plain,
! [X65,X68,X64] : multiply(multiply(X65,inverse(X65)),inverse(multiply(inverse(X68),multiply(inverse(inverse(X64)),inverse(inverse(inverse(X64))))))) = X68,
inference(forward_demodulation,[],[f3672,f3706]) ).
fof(f3706,plain,
! [X18,X14,X17] : multiply(X18,inverse(multiply(X17,multiply(X14,X18)))) = multiply(inverse(X14),inverse(X17)),
inference(forward_demodulation,[],[f3663,f2023]) ).
fof(f3663,plain,
! [X18,X16,X14,X17] : multiply(X18,inverse(multiply(X17,multiply(X14,X18)))) = multiply(multiply(X16,inverse(X16)),inverse(multiply(X17,inverse(inverse(X14))))),
inference(backward_demodulation,[],[f53,f3659]) ).
fof(f53,plain,
! [X18,X16,X14,X17,X15] : multiply(multiply(X16,inverse(X16)),inverse(multiply(X17,multiply(X14,multiply(X15,inverse(X15)))))) = multiply(X18,inverse(multiply(X17,multiply(X14,X18)))),
inference(superposition,[],[f31,f1]) ).
fof(f31,plain,
! [X2,X1,X6,X4,X5] : multiply(X6,inverse(multiply(multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4)))),multiply(X1,X6)))) = X2,
inference(superposition,[],[f4,f8]) ).
fof(f3672,plain,
! [X65,X68,X66,X64] : multiply(multiply(X65,inverse(X65)),inverse(multiply(inverse(X68),multiply(X66,inverse(multiply(inverse(inverse(X64)),multiply(inverse(X64),X66))))))) = X68,
inference(backward_demodulation,[],[f581,f3659]) ).
fof(f581,plain,
! [X65,X68,X66,X67,X64] : multiply(multiply(X65,inverse(X65)),inverse(multiply(inverse(X68),multiply(X66,inverse(multiply(multiply(X64,multiply(X67,inverse(X67))),multiply(inverse(X64),X66))))))) = X68,
inference(superposition,[],[f500,f8]) ).
fof(f500,plain,
! [X162,X163,X164] : multiply(X164,inverse(multiply(inverse(X162),multiply(multiply(X163,inverse(X163)),X164)))) = X162,
inference(superposition,[],[f1,f457]) ).
fof(f3067,plain,
! [X52,X53] : multiply(multiply(X52,inverse(X52)),X53) = inverse(inverse(X53)),
inference(backward_demodulation,[],[f1649,f3023]) ).
fof(f3023,plain,
! [X19,X24,X22,X23,X20] : multiply(X22,inverse(multiply(multiply(multiply(multiply(X23,inverse(X23)),inverse(X20)),multiply(X24,inverse(X24))),multiply(inverse(multiply(X19,inverse(X19))),X22)))) = inverse(inverse(X20)),
inference(backward_demodulation,[],[f750,f2874]) ).
fof(f750,plain,
! [X21,X19,X24,X22,X23,X20] : inverse(multiply(inverse(X20),multiply(X21,inverse(X21)))) = multiply(X22,inverse(multiply(multiply(multiply(multiply(X23,inverse(X23)),inverse(X20)),multiply(X24,inverse(X24))),multiply(inverse(multiply(X19,inverse(X19))),X22)))),
inference(superposition,[],[f4,f503]) ).
fof(f1649,plain,
! [X51,X56,X54,X55,X52,X53] : multiply(multiply(X52,inverse(X52)),X53) = multiply(X54,inverse(multiply(multiply(multiply(multiply(X55,inverse(X55)),inverse(X53)),multiply(X56,inverse(X56))),multiply(inverse(multiply(X51,inverse(X51))),X54)))),
inference(superposition,[],[f4,f1517]) ).
fof(f1517,plain,
! [X14,X12,X13] : multiply(inverse(multiply(X12,inverse(X12))),multiply(multiply(X13,inverse(X13)),X14)) = X14,
inference(superposition,[],[f428,f456]) ).
fof(f3828,plain,
! [X19,X20] : inverse(multiply(inverse(X20),inverse(inverse(X19)))) = multiply(inverse(X19),X20),
inference(forward_demodulation,[],[f3827,f3737]) ).
fof(f3827,plain,
! [X19,X20] : inverse(multiply(inverse(X20),inverse(inverse(X19)))) = multiply(inverse(X19),inverse(inverse(X20))),
inference(forward_demodulation,[],[f3771,f3706]) ).
fof(f3771,plain,
! [X19,X22,X20] : inverse(multiply(inverse(X20),inverse(inverse(X19)))) = multiply(X22,inverse(multiply(inverse(X20),multiply(X19,X22)))),
inference(backward_demodulation,[],[f3612,f3737]) ).
fof(f3612,plain,
! [X19,X22,X20] : inverse(multiply(inverse(X20),inverse(inverse(X19)))) = multiply(X22,inverse(multiply(inverse(inverse(inverse(X20))),multiply(X19,X22)))),
inference(forward_demodulation,[],[f3611,f2874]) ).
fof(f3611,plain,
! [X19,X24,X22,X20] : inverse(multiply(inverse(X20),inverse(inverse(X19)))) = multiply(X22,inverse(multiply(multiply(inverse(inverse(inverse(X20))),multiply(X24,inverse(X24))),multiply(X19,X22)))),
inference(forward_demodulation,[],[f3073,f3067]) ).
fof(f3073,plain,
! [X19,X24,X22,X23,X20] : multiply(X22,inverse(multiply(multiply(multiply(multiply(X23,inverse(X23)),inverse(X20)),multiply(X24,inverse(X24))),multiply(X19,X22)))) = inverse(multiply(inverse(X20),inverse(inverse(X19)))),
inference(backward_demodulation,[],[f590,f3067]) ).
fof(f590,plain,
! [X21,X19,X24,X22,X23,X20] : inverse(multiply(inverse(X20),multiply(multiply(X21,inverse(X21)),X19))) = multiply(X22,inverse(multiply(multiply(multiply(multiply(X23,inverse(X23)),inverse(X20)),multiply(X24,inverse(X24))),multiply(X19,X22)))),
inference(superposition,[],[f4,f500]) ).
fof(f4911,plain,
! [X51,X49,X44,X45] : multiply(X44,multiply(X45,X49)) = multiply(X51,multiply(inverse(multiply(inverse(X44),X51)),multiply(X45,X49))),
inference(forward_demodulation,[],[f4910,f3604]) ).
fof(f3604,plain,
! [X10,X7] : multiply(X7,multiply(inverse(X7),X10)) = X10,
inference(forward_demodulation,[],[f3069,f3533]) ).
fof(f3069,plain,
! [X10,X8,X7] : multiply(X7,multiply(multiply(multiply(X8,inverse(X8)),inverse(inverse(inverse(X7)))),X10)) = X10,
inference(backward_demodulation,[],[f428,f3067]) ).
fof(f4910,plain,
! [X51,X49,X44,X45,X52] : multiply(X44,multiply(X45,X49)) = multiply(X51,multiply(inverse(multiply(X52,multiply(inverse(X52),multiply(inverse(X44),X51)))),multiply(X45,X49))),
inference(forward_demodulation,[],[f4909,f4595]) ).
fof(f4595,plain,
! [X46,X49,X47] : inverse(multiply(multiply(X47,X49),X46)) = inverse(multiply(X47,multiply(X49,X46))),
inference(forward_demodulation,[],[f4594,f3782]) ).
fof(f3782,plain,
! [X8,X7] : multiply(X7,multiply(X8,inverse(X8))) = X7,
inference(backward_demodulation,[],[f3659,f3737]) ).
fof(f4594,plain,
! [X48,X46,X49,X47] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = inverse(multiply(multiply(X47,X49),X46)),
inference(forward_demodulation,[],[f4593,f3963]) ).
fof(f3963,plain,
! [X90,X89] : inverse(multiply(X89,X90)) = multiply(inverse(X90),inverse(X89)),
inference(forward_demodulation,[],[f3962,f3782]) ).
fof(f3962,plain,
! [X90,X91,X89] : multiply(inverse(X90),inverse(X89)) = multiply(inverse(multiply(X89,X90)),multiply(X91,inverse(X91))),
inference(forward_demodulation,[],[f3961,f3819]) ).
fof(f3819,plain,
! [X16,X14] : multiply(multiply(inverse(X14),X14),X16) = X16,
inference(forward_demodulation,[],[f3768,f3737]) ).
fof(f3768,plain,
! [X16,X14] : multiply(multiply(inverse(X14),X14),inverse(inverse(X16))) = X16,
inference(backward_demodulation,[],[f3600,f3737]) ).
fof(f3600,plain,
! [X16,X14] : multiply(multiply(inverse(inverse(inverse(X14))),X14),inverse(inverse(X16))) = X16,
inference(backward_demodulation,[],[f3561,f3585]) ).
fof(f3585,plain,
! [X8,X9] : inverse(inverse(multiply(X8,multiply(X9,inverse(X9))))) = inverse(inverse(X8)),
inference(backward_demodulation,[],[f1815,f3537]) ).
fof(f1815,plain,
! [X10,X8,X9] : inverse(inverse(multiply(X8,multiply(X9,inverse(X9))))) = multiply(inverse(multiply(X10,inverse(X10))),X8),
inference(superposition,[],[f1517,f1594]) ).
fof(f1594,plain,
! [X163,X158,X159] : multiply(multiply(X163,inverse(X163)),inverse(inverse(multiply(X158,multiply(X159,inverse(X159)))))) = X158,
inference(forward_demodulation,[],[f1567,f1182]) ).
fof(f1182,plain,
! [X273,X272,X271,X274] : multiply(multiply(multiply(X273,inverse(X273)),inverse(multiply(multiply(X272,inverse(X272)),X271))),multiply(X274,inverse(X274))) = inverse(X271),
inference(forward_demodulation,[],[f1103,f499]) ).
fof(f499,plain,
! [X160,X158,X161,X159] : inverse(X158) = multiply(X160,inverse(multiply(multiply(multiply(X159,inverse(X159)),multiply(X161,inverse(X161))),multiply(X158,X160)))),
inference(superposition,[],[f4,f457]) ).
fof(f1103,plain,
! [X273,X271,X272,X270,X276,X275,X274] : multiply(X275,inverse(multiply(multiply(multiply(X270,inverse(X270)),multiply(X276,inverse(X276))),multiply(X271,X275)))) = multiply(multiply(multiply(X273,inverse(X273)),inverse(multiply(multiply(X272,inverse(X272)),X271))),multiply(X274,inverse(X274))),
inference(superposition,[],[f8,f984]) ).
fof(f984,plain,
! [X140,X139,X137] : multiply(multiply(X139,inverse(X139)),X137) = multiply(multiply(X140,inverse(X140)),X137),
inference(superposition,[],[f101,f784]) ).
fof(f1567,plain,
! [X162,X163,X160,X158,X161,X159] : multiply(multiply(X163,inverse(X163)),inverse(multiply(multiply(multiply(X160,inverse(X160)),inverse(multiply(multiply(X161,inverse(X161)),multiply(X158,multiply(X159,inverse(X159)))))),multiply(X162,inverse(X162))))) = X158,
inference(superposition,[],[f32,f428]) ).
fof(f3561,plain,
! [X16,X14,X17] : multiply(multiply(inverse(inverse(inverse(X14))),X14),inverse(inverse(multiply(X16,multiply(X17,inverse(X17)))))) = X16,
inference(backward_demodulation,[],[f2453,f3537]) ).
fof(f2453,plain,
! [X16,X14,X17,X15] : multiply(multiply(multiply(inverse(multiply(X15,inverse(X15))),inverse(X14)),X14),inverse(inverse(multiply(X16,multiply(X17,inverse(X17)))))) = X16,
inference(backward_demodulation,[],[f1786,f2023]) ).
fof(f1786,plain,
! [X16,X14,X17,X15,X13] : multiply(multiply(multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(inverse(multiply(X15,inverse(X15))))))),X14),inverse(inverse(multiply(X16,multiply(X17,inverse(X17)))))) = X16,
inference(superposition,[],[f1594,f784]) ).
fof(f3961,plain,
! [X90,X91,X89,X87] : multiply(inverse(X90),inverse(X89)) = multiply(multiply(multiply(inverse(X87),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))),
inference(forward_demodulation,[],[f3960,f3737]) ).
fof(f3960,plain,
! [X90,X91,X89,X87] : multiply(multiply(multiply(inverse(inverse(inverse(X87))),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))) = multiply(inverse(X90),inverse(X89)),
inference(forward_demodulation,[],[f3959,f3737]) ).
fof(f3959,plain,
! [X90,X91,X89,X87] : multiply(multiply(multiply(inverse(inverse(inverse(X87))),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))) = multiply(inverse(X90),inverse(inverse(inverse(X89)))),
inference(forward_demodulation,[],[f3693,f3706]) ).
fof(f3693,plain,
! [X90,X91,X89,X87,X92] : multiply(multiply(multiply(inverse(inverse(inverse(X87))),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))) = multiply(X92,inverse(multiply(inverse(inverse(X89)),multiply(X90,X92)))),
inference(backward_demodulation,[],[f3548,f3659]) ).
fof(f3548,plain,
! [X90,X91,X89,X87,X92,X93] : multiply(X92,inverse(multiply(multiply(X89,multiply(X93,inverse(X93))),multiply(X90,X92)))) = multiply(multiply(multiply(inverse(inverse(inverse(X87))),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))),
inference(backward_demodulation,[],[f2428,f3537]) ).
fof(f2428,plain,
! [X90,X91,X88,X89,X87,X92,X93] : multiply(X92,inverse(multiply(multiply(X89,multiply(X93,inverse(X93))),multiply(X90,X92)))) = multiply(multiply(multiply(multiply(inverse(multiply(X88,inverse(X88))),inverse(X87)),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))),
inference(backward_demodulation,[],[f977,f2023]) ).
fof(f977,plain,
! [X90,X91,X88,X86,X89,X87,X92,X93] : multiply(X92,inverse(multiply(multiply(X89,multiply(X93,inverse(X93))),multiply(X90,X92)))) = multiply(multiply(multiply(multiply(multiply(X86,inverse(X86)),inverse(multiply(X87,inverse(inverse(multiply(X88,inverse(X88))))))),X87),inverse(multiply(X89,X90))),multiply(X91,inverse(X91))),
inference(superposition,[],[f8,f784]) ).
fof(f4593,plain,
! [X48,X46,X49,X47] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(inverse(X46),inverse(multiply(X47,X49))),
inference(forward_demodulation,[],[f4592,f3829]) ).
fof(f4592,plain,
! [X48,X46,X49,X47] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = inverse(multiply(inverse(inverse(multiply(X47,X49))),X46)),
inference(forward_demodulation,[],[f4591,f3963]) ).
fof(f4591,plain,
! [X48,X46,X49,X47] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(inverse(X46),inverse(inverse(inverse(multiply(X47,X49))))),
inference(forward_demodulation,[],[f4590,f4137]) ).
fof(f4137,plain,
! [X58,X59,X55] : multiply(inverse(X55),X58) = multiply(X59,multiply(inverse(multiply(X55,X59)),X58)),
inference(forward_demodulation,[],[f4136,f3829]) ).
fof(f4136,plain,
! [X58,X59,X55] : multiply(inverse(X55),X58) = multiply(X59,inverse(multiply(inverse(X58),multiply(X55,X59)))),
inference(forward_demodulation,[],[f4135,f3736]) ).
fof(f4135,plain,
! [X58,X59,X55,X60] : multiply(inverse(X55),X58) = multiply(X59,inverse(multiply(multiply(multiply(X60,inverse(X60)),inverse(X58)),multiply(X55,X59)))),
inference(forward_demodulation,[],[f4134,f3782]) ).
fof(f4134,plain,
! [X58,X59,X55,X60,X61] : multiply(X59,inverse(multiply(multiply(multiply(multiply(X60,inverse(X60)),inverse(X58)),multiply(X61,inverse(X61))),multiply(X55,X59)))) = multiply(inverse(X55),X58),
inference(forward_demodulation,[],[f4133,f3737]) ).
fof(f4133,plain,
! [X58,X59,X55,X60,X61] : multiply(X59,inverse(multiply(multiply(multiply(multiply(X60,inverse(X60)),inverse(X58)),multiply(X61,inverse(X61))),multiply(X55,X59)))) = multiply(inverse(inverse(inverse(X55))),X58),
inference(forward_demodulation,[],[f3112,f3736]) ).
fof(f3112,plain,
! [X58,X59,X56,X55,X60,X61] : multiply(X59,inverse(multiply(multiply(multiply(multiply(X60,inverse(X60)),inverse(X58)),multiply(X61,inverse(X61))),multiply(X55,X59)))) = multiply(multiply(multiply(X56,inverse(X56)),inverse(inverse(inverse(X55)))),X58),
inference(backward_demodulation,[],[f1551,f3067]) ).
fof(f1551,plain,
! [X58,X59,X56,X57,X55,X60,X61] : multiply(multiply(multiply(X56,inverse(X56)),inverse(multiply(multiply(X57,inverse(X57)),X55))),X58) = multiply(X59,inverse(multiply(multiply(multiply(multiply(X60,inverse(X60)),inverse(X58)),multiply(X61,inverse(X61))),multiply(X55,X59)))),
inference(superposition,[],[f4,f428]) ).
fof(f4590,plain,
! [X48,X46,X49,X47,X52] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(X52,multiply(inverse(multiply(X46,X52)),inverse(inverse(inverse(multiply(X47,X49)))))),
inference(forward_demodulation,[],[f4589,f3782]) ).
fof(f4589,plain,
! [X51,X48,X46,X49,X47,X52] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(X52,multiply(inverse(multiply(X46,X52)),multiply(inverse(inverse(inverse(multiply(X47,X49)))),multiply(X51,inverse(X51))))),
inference(forward_demodulation,[],[f4588,f3829]) ).
fof(f4588,plain,
! [X51,X48,X46,X49,X47,X52] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(X52,inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(X47,X49)))),multiply(X51,inverse(X51)))),multiply(X46,X52)))),
inference(forward_demodulation,[],[f4587,f3736]) ).
fof(f4587,plain,
! [X51,X48,X46,X49,X47,X52,X53] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(X52,inverse(multiply(multiply(multiply(X53,inverse(X53)),inverse(multiply(inverse(inverse(inverse(multiply(X47,X49)))),multiply(X51,inverse(X51))))),multiply(X46,X52)))),
inference(forward_demodulation,[],[f3184,f3782]) ).
fof(f3184,plain,
! [X51,X48,X46,X49,X47,X54,X52,X53] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(X52,inverse(multiply(multiply(multiply(multiply(X53,inverse(X53)),inverse(multiply(inverse(inverse(inverse(multiply(X47,X49)))),multiply(X51,inverse(X51))))),multiply(X54,inverse(X54))),multiply(X46,X52)))),
inference(backward_demodulation,[],[f43,f3067]) ).
fof(f43,plain,
! [X50,X51,X48,X46,X49,X47,X54,X52,X53] : inverse(multiply(multiply(X47,multiply(X48,inverse(X48))),multiply(X49,X46))) = multiply(X52,inverse(multiply(multiply(multiply(multiply(X53,inverse(X53)),inverse(multiply(multiply(multiply(X50,inverse(X50)),inverse(multiply(X47,X49))),multiply(X51,inverse(X51))))),multiply(X54,inverse(X54))),multiply(X46,X52)))),
inference(superposition,[],[f4,f8]) ).
fof(f4909,plain,
! [X51,X49,X44,X45,X52] : multiply(X44,multiply(X45,X49)) = multiply(X51,multiply(inverse(multiply(multiply(X52,inverse(X52)),multiply(inverse(X44),X51))),multiply(X45,X49))),
inference(forward_demodulation,[],[f4908,f4595]) ).
fof(f4908,plain,
! [X51,X49,X44,X45,X52] : multiply(X44,multiply(X45,X49)) = multiply(X51,multiply(inverse(multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)),multiply(X45,X49))),
inference(forward_demodulation,[],[f4907,f3829]) ).
fof(f4907,plain,
! [X51,X49,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = multiply(X44,multiply(X45,X49)),
inference(forward_demodulation,[],[f4906,f3737]) ).
fof(f4906,plain,
! [X51,X49,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(inverse(multiply(X44,multiply(X45,X49)))),
inference(forward_demodulation,[],[f4905,f3604]) ).
fof(f4905,plain,
! [X51,X48,X49,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(inverse(multiply(X44,multiply(X45,multiply(X48,multiply(inverse(X48),X49)))))),
inference(forward_demodulation,[],[f4904,f4137]) ).
fof(f4904,plain,
! [X51,X48,X46,X49,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(inverse(multiply(X44,multiply(X45,multiply(X48,multiply(X46,multiply(inverse(multiply(X48,X46)),X49))))))),
inference(forward_demodulation,[],[f4903,f3736]) ).
fof(f4903,plain,
! [X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(inverse(multiply(X44,multiply(X45,multiply(X48,multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))))))),
inference(forward_demodulation,[],[f4902,f4595]) ).
fof(f4902,plain,
! [X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(inverse(multiply(multiply(X44,X45),multiply(X48,multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49)))))),
inference(forward_demodulation,[],[f4901,f4595]) ).
fof(f4901,plain,
! [X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(inverse(multiply(multiply(multiply(X44,X45),X48),multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))))),
inference(forward_demodulation,[],[f4900,f3963]) ).
fof(f4900,plain,
! [X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(multiply(inverse(multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))),inverse(multiply(multiply(X44,X45),X48)))),
inference(forward_demodulation,[],[f4899,f3963]) ).
fof(f4899,plain,
! [X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(multiply(inverse(multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))),multiply(inverse(X48),inverse(multiply(X44,X45))))),
inference(forward_demodulation,[],[f4898,f3736]) ).
fof(f4898,plain,
! [X50,X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(multiply(inverse(multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))),multiply(multiply(multiply(X50,inverse(X50)),inverse(X48)),inverse(multiply(X44,X45))))),
inference(forward_demodulation,[],[f3219,f3737]) ).
fof(f3219,plain,
! [X50,X51,X48,X46,X49,X47,X44,X45,X52] : multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))) = inverse(multiply(inverse(multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))),multiply(multiply(multiply(X50,inverse(X50)),inverse(X48)),inverse(inverse(inverse(multiply(X44,X45))))))),
inference(backward_demodulation,[],[f396,f3067]) ).
fof(f396,plain,
! [X50,X51,X48,X46,X49,X47,X44,X45,X52,X43] : inverse(multiply(inverse(multiply(X46,multiply(multiply(multiply(X47,inverse(X47)),inverse(multiply(X48,X46))),X49))),multiply(multiply(multiply(X50,inverse(X50)),inverse(X48)),multiply(multiply(X43,inverse(X43)),inverse(multiply(X44,X45)))))) = multiply(X51,inverse(multiply(inverse(multiply(X45,X49)),multiply(multiply(multiply(X52,inverse(X52)),inverse(X44)),X51)))),
inference(superposition,[],[f3,f3]) ).
fof(f4868,plain,
! [X8,X9,X12,X13] : multiply(multiply(X8,X9),X12) = multiply(X13,multiply(multiply(inverse(X13),X8),multiply(X9,X12))),
inference(forward_demodulation,[],[f4867,f3829]) ).
fof(f4867,plain,
! [X8,X9,X12,X13] : multiply(multiply(X8,X9),X12) = multiply(X13,multiply(inverse(multiply(inverse(X8),X13)),multiply(X9,X12))),
inference(forward_demodulation,[],[f4866,f3604]) ).
fof(f4866,plain,
! [X8,X9,X14,X12,X13] : multiply(multiply(X8,X9),X12) = multiply(X13,multiply(inverse(multiply(X14,multiply(inverse(X14),multiply(inverse(X8),X13)))),multiply(X9,X12))),
inference(forward_demodulation,[],[f4865,f4595]) ).
fof(f4865,plain,
! [X8,X9,X14,X12,X13] : multiply(multiply(X8,X9),X12) = multiply(X13,multiply(inverse(multiply(multiply(X14,inverse(X14)),multiply(inverse(X8),X13))),multiply(X9,X12))),
inference(forward_demodulation,[],[f4864,f4595]) ).
fof(f4864,plain,
! [X8,X9,X14,X12,X13] : multiply(multiply(X8,X9),X12) = multiply(X13,multiply(inverse(multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)),multiply(X9,X12))),
inference(forward_demodulation,[],[f4863,f3829]) ).
fof(f4863,plain,
! [X8,X9,X14,X12,X13] : multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))) = multiply(multiply(X8,X9),X12),
inference(forward_demodulation,[],[f4862,f3737]) ).
fof(f4862,plain,
! [X8,X9,X14,X12,X13] : multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))) = multiply(inverse(inverse(multiply(X8,X9))),X12),
inference(forward_demodulation,[],[f4861,f3829]) ).
fof(f4861,plain,
! [X8,X9,X14,X12,X13] : multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))) = inverse(multiply(inverse(X12),inverse(multiply(X8,X9)))),
inference(forward_demodulation,[],[f4860,f4137]) ).
fof(f4860,plain,
! [X10,X8,X9,X14,X12,X13] : multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))) = inverse(multiply(X10,multiply(inverse(multiply(X12,X10)),inverse(multiply(X8,X9))))),
inference(forward_demodulation,[],[f4859,f3736]) ).
fof(f4859,plain,
! [X10,X11,X8,X9,X14,X12,X13] : multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))) = inverse(multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),inverse(multiply(X8,X9))))),
inference(forward_demodulation,[],[f3215,f3737]) ).
fof(f3215,plain,
! [X10,X11,X8,X9,X14,X12,X13] : multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))) = inverse(multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),inverse(inverse(inverse(multiply(X8,X9))))))),
inference(backward_demodulation,[],[f392,f3067]) ).
fof(f392,plain,
! [X10,X11,X8,X9,X7,X14,X12,X13] : inverse(multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),multiply(multiply(X7,inverse(X7)),inverse(multiply(X8,X9)))))) = multiply(X13,inverse(multiply(inverse(multiply(X9,X12)),multiply(multiply(multiply(X14,inverse(X14)),inverse(X8)),X13)))),
inference(superposition,[],[f3,f1]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/tmp/tmp.DGya3Pv2sY/Vampire---4.8_32178',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Aug 30 17:28:47 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.37 % (32286)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.37 % (32292)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)
% 0.09/0.37 % (32289)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)
% 0.09/0.37 % (32290)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.09/0.37 % (32287)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.09/0.37 % (32291)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)
% 0.09/0.37 % (32293)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)
% 0.09/0.37 TRYING [1]
% 0.09/0.37 TRYING [2]
% 0.09/0.38 TRYING [3]
% 0.09/0.38 TRYING [1]
% 0.09/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (32288)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.39 TRYING [4]
% 0.14/0.41 TRYING [4]
% 3.25/0.86 % (32292)First to succeed.
% 3.25/0.86 % (32292)Refutation found. Thanks to Tanya!
% 3.25/0.86 % SZS status Unsatisfiable for Vampire---4
% 3.25/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 3.25/0.86 % (32292)------------------------------
% 3.25/0.86 % (32292)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.25/0.86 % (32292)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.25/0.86 % (32292)Termination reason: Refutation
% 3.25/0.86
% 3.25/0.86 % (32292)Memory used [KB]: 11129
% 3.25/0.86 % (32292)Time elapsed: 0.486 s
% 3.25/0.86 % (32292)------------------------------
% 3.25/0.86 % (32292)------------------------------
% 3.25/0.86 % (32286)Success in time 0.557 s
% 3.25/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------