TSTP Solution File: GRP121-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP121-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : n022.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 : Thu Aug 31 01:21:30 EDT 2023

% Result   : Unsatisfiable 2.40s 0.73s
% Output   : Refutation 2.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   77 (  77 unt;   0 def)
%            Number of atoms       :   77 (  76 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  133 (; 133   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15064,plain,
    $false,
    inference(trivial_inequality_removal,[],[f15021]) ).

fof(f15021,plain,
    a != a,
    inference(backward_demodulation,[],[f3,f14902]) ).

fof(f14902,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[],[f14901,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.3RBcUs1Snl/Vampire---4.8_28280',single_axiom) ).

fof(f14901,plain,
    ! [X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,identity)))) = X0,
    inference(forward_demodulation,[],[f14733,f1063]) ).

fof(f1063,plain,
    ! [X5] : identity = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(forward_demodulation,[],[f1062,f2]) ).

fof(f2,axiom,
    identity = multiply(identity,identity),
    file('/export/starexec/sandbox/tmp/tmp.3RBcUs1Snl/Vampire---4.8_28280',single_axiom2) ).

fof(f1062,plain,
    ! [X5] : multiply(identity,identity) = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(forward_demodulation,[],[f1061,f2]) ).

fof(f1061,plain,
    ! [X5] : multiply(identity,multiply(identity,identity)) = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(forward_demodulation,[],[f1060,f2]) ).

fof(f1060,plain,
    ! [X5] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(forward_demodulation,[],[f1059,f2]) ).

fof(f1059,plain,
    ! [X5] : multiply(multiply(identity,identity),multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(forward_demodulation,[],[f1058,f257]) ).

fof(f257,plain,
    ! [X0] : multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
    inference(forward_demodulation,[],[f241,f207]) ).

fof(f207,plain,
    ! [X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = X1,
    inference(superposition,[],[f50,f10]) ).

fof(f10,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
    inference(forward_demodulation,[],[f8,f2]) ).

fof(f8,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
    inference(superposition,[],[f1,f2]) ).

fof(f50,plain,
    ! [X3] : multiply(identity,multiply(X3,identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X3,identity))),identity),identity))),
    inference(forward_demodulation,[],[f38,f2]) ).

fof(f38,plain,
    ! [X3] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X3,identity))),identity),identity))) = multiply(identity,multiply(X3,identity)),
    inference(superposition,[],[f28,f10]) ).

fof(f28,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(multiply(identity,X0),identity)),
    inference(superposition,[],[f19,f19]) ).

fof(f19,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
    inference(superposition,[],[f10,f2]) ).

fof(f241,plain,
    ! [X0] : multiply(multiply(identity,X0),identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),identity))),
    inference(superposition,[],[f207,f28]) ).

fof(f1058,plain,
    ! [X5] : multiply(multiply(identity,identity),multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(forward_demodulation,[],[f1001,f257]) ).

fof(f1001,plain,
    ! [X5] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(X5,multiply(multiply(multiply(X5,identity),identity),multiply(multiply(multiply(X5,identity),identity),multiply(multiply(X5,identity),identity)))),
    inference(superposition,[],[f612,f106]) ).

fof(f106,plain,
    ! [X0] : identity = multiply(identity,multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))))),
    inference(superposition,[],[f4,f46]) ).

fof(f46,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
    inference(forward_demodulation,[],[f35,f28]) ).

fof(f35,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
    inference(backward_demodulation,[],[f19,f28]) ).

fof(f4,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
    inference(superposition,[],[f1,f2]) ).

fof(f612,plain,
    ! [X2,X3] : multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X3),identity)),identity)) = X3,
    inference(forward_demodulation,[],[f611,f2]) ).

fof(f611,plain,
    ! [X2,X3] : multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X3),identity)),multiply(identity,identity))) = X3,
    inference(forward_demodulation,[],[f577,f2]) ).

fof(f577,plain,
    ! [X2,X3] : multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X3),identity)),multiply(identity,multiply(identity,identity)))) = X3,
    inference(superposition,[],[f1,f21]) ).

fof(f21,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
    inference(superposition,[],[f10,f10]) ).

fof(f14733,plain,
    ! [X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X0,identity),identity))),multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),multiply(multiply(multiply(multiply(X0,X0),identity),identity),multiply(multiply(multiply(X0,X0),identity),identity)))),multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),multiply(multiply(multiply(multiply(X0,X0),identity),identity),multiply(multiply(multiply(X0,X0),identity),identity)))),multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),multiply(multiply(multiply(multiply(X0,X0),identity),identity),multiply(multiply(multiply(X0,X0),identity),identity)))))))) = X0,
    inference(superposition,[],[f6,f10279]) ).

fof(f10279,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,X0),identity),identity))) = X0,
    inference(superposition,[],[f3090,f7950]) ).

fof(f7950,plain,
    ! [X102,X103] : multiply(multiply(multiply(X102,identity),identity),multiply(multiply(X103,identity),identity)) = multiply(multiply(multiply(X102,X103),identity),identity),
    inference(superposition,[],[f7701,f7701]) ).

fof(f7701,plain,
    ! [X0,X1] : multiply(multiply(X1,X0),identity) = multiply(multiply(X1,identity),multiply(X0,identity)),
    inference(superposition,[],[f7623,f46]) ).

fof(f7623,plain,
    ! [X14,X15] : multiply(multiply(X14,identity),X15) = multiply(multiply(X14,multiply(identity,multiply(identity,multiply(identity,multiply(X15,identity))))),identity),
    inference(forward_demodulation,[],[f7622,f2]) ).

fof(f7622,plain,
    ! [X14,X15] : multiply(multiply(X14,identity),X15) = multiply(multiply(X14,multiply(identity,multiply(identity,multiply(identity,multiply(X15,identity))))),multiply(identity,identity)),
    inference(forward_demodulation,[],[f7451,f2]) ).

fof(f7451,plain,
    ! [X14,X15] : multiply(multiply(X14,identity),X15) = multiply(multiply(X14,multiply(identity,multiply(identity,multiply(identity,multiply(X15,identity))))),multiply(identity,multiply(identity,identity))),
    inference(superposition,[],[f3026,f4480]) ).

fof(f4480,plain,
    ! [X19,X20] : multiply(identity,multiply(identity,multiply(identity,multiply(X20,identity)))) = multiply(multiply(X19,X19),multiply(multiply(X19,multiply(multiply(X19,identity),X20)),identity)),
    inference(forward_demodulation,[],[f4479,f257]) ).

fof(f4479,plain,
    ! [X19,X20] : multiply(multiply(X19,X19),multiply(multiply(X19,multiply(multiply(X19,identity),X20)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,X20),identity))),
    inference(forward_demodulation,[],[f4478,f257]) ).

fof(f4478,plain,
    ! [X19,X20] : multiply(multiply(X19,X19),multiply(multiply(X19,multiply(multiply(X19,identity),X20)),identity)) = multiply(identity,multiply(multiply(identity,multiply(identity,X20)),identity)),
    inference(forward_demodulation,[],[f4371,f257]) ).

fof(f4371,plain,
    ! [X19,X20] : multiply(multiply(X19,X19),multiply(multiply(X19,multiply(multiply(X19,identity),X20)),identity)) = multiply(multiply(identity,multiply(identity,multiply(identity,X20))),identity),
    inference(superposition,[],[f683,f3896]) ).

fof(f3896,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,X0))) = multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,identity),X0))),
    inference(superposition,[],[f3422,f2]) ).

fof(f3422,plain,
    ! [X2,X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))),
    inference(superposition,[],[f853,f3335]) ).

fof(f3335,plain,
    ! [X14,X15,X13] : multiply(multiply(identity,X14),X15) = multiply(identity,multiply(multiply(multiply(X13,X13),multiply(multiply(X13,multiply(multiply(X13,X14),X15)),identity)),identity)),
    inference(forward_demodulation,[],[f3243,f683]) ).

fof(f3243,plain,
    ! [X14,X15,X13] : multiply(identity,multiply(multiply(multiply(X13,multiply(multiply(X13,X13),multiply(multiply(X13,X14),X15))),identity),identity)) = multiply(multiply(identity,X14),X15),
    inference(superposition,[],[f1912,f3026]) ).

fof(f1912,plain,
    ! [X8,X7] : multiply(identity,multiply(multiply(X7,identity),identity)) = multiply(multiply(identity,multiply(X7,multiply(X8,multiply(X8,X8)))),X8),
    inference(forward_demodulation,[],[f1911,f2]) ).

fof(f1911,plain,
    ! [X8,X7] : multiply(multiply(identity,multiply(X7,multiply(X8,multiply(X8,X8)))),X8) = multiply(identity,multiply(multiply(X7,identity),multiply(identity,identity))),
    inference(forward_demodulation,[],[f1862,f2]) ).

fof(f1862,plain,
    ! [X8,X7] : multiply(multiply(identity,multiply(X7,multiply(X8,multiply(X8,X8)))),X8) = multiply(identity,multiply(multiply(X7,identity),multiply(identity,multiply(identity,identity)))),
    inference(superposition,[],[f4,f1830]) ).

fof(f1830,plain,
    ! [X21,X22] : multiply(X21,identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X21,multiply(X22,multiply(X22,X22)))),X22),identity))),
    inference(forward_demodulation,[],[f1829,f2]) ).

fof(f1829,plain,
    ! [X21,X22] : multiply(X21,identity) = multiply(identity,multiply(multiply(identity,identity),multiply(multiply(multiply(identity,multiply(X21,multiply(X22,multiply(X22,X22)))),X22),identity))),
    inference(forward_demodulation,[],[f1828,f2]) ).

fof(f1828,plain,
    ! [X21,X22] : multiply(X21,identity) = multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(multiply(identity,multiply(X21,multiply(X22,multiply(X22,X22)))),X22),identity))),
    inference(forward_demodulation,[],[f1788,f21]) ).

fof(f1788,plain,
    ! [X21,X22] : multiply(X21,identity) = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X21,multiply(X22,multiply(X22,X22)))),X22)),identity)),
    inference(superposition,[],[f257,f1727]) ).

fof(f1727,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(forward_demodulation,[],[f1726,f2]) ).

fof(f1726,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(forward_demodulation,[],[f1643,f2]) ).

fof(f1643,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(superposition,[],[f7,f4]) ).

fof(f7,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))) = multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))),
    inference(superposition,[],[f1,f1]) ).

fof(f853,plain,
    ! [X11,X12] : multiply(X11,multiply(multiply(X11,X11),X12)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X11,X11),multiply(multiply(X11,X12),identity)),identity)))),
    inference(forward_demodulation,[],[f852,f46]) ).

fof(f852,plain,
    ! [X11,X12] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X11,X11),multiply(multiply(X11,X12),identity)),identity)))) = multiply(X11,multiply(multiply(X11,X11),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X12,identity),identity)))))),
    inference(forward_demodulation,[],[f851,f257]) ).

fof(f851,plain,
    ! [X11,X12] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X11,X11),multiply(multiply(X11,X12),identity)),identity)))) = multiply(X11,multiply(multiply(X11,X11),multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X12,identity)),identity))))),
    inference(forward_demodulation,[],[f850,f257]) ).

fof(f850,plain,
    ! [X11,X12] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X11,X11),multiply(multiply(X11,X12),identity)),identity)))) = multiply(X11,multiply(multiply(X11,X11),multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X12,identity))),identity)))),
    inference(forward_demodulation,[],[f815,f257]) ).

fof(f815,plain,
    ! [X11,X12] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X11,X11),multiply(multiply(X11,X12),identity)),identity)))) = multiply(X11,multiply(multiply(X11,X11),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X12,identity)))),identity))),
    inference(superposition,[],[f697,f697]) ).

fof(f697,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,X0),identity))),
    inference(backward_demodulation,[],[f376,f683]) ).

fof(f376,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity)),
    inference(forward_demodulation,[],[f362,f2]) ).

fof(f362,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X0,identity)))) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity)),
    inference(superposition,[],[f290,f10]) ).

fof(f290,plain,
    ! [X4,X5] : multiply(identity,X4) = multiply(X5,multiply(multiply(X5,multiply(multiply(X5,X5),multiply(identity,multiply(X4,identity)))),identity)),
    inference(superposition,[],[f10,f257]) ).

fof(f683,plain,
    ! [X8,X9] : multiply(multiply(X8,multiply(multiply(X8,X8),X9)),identity) = multiply(multiply(X8,X8),multiply(multiply(X8,X9),identity)),
    inference(forward_demodulation,[],[f682,f46]) ).

fof(f682,plain,
    ! [X8,X9] : multiply(multiply(X8,multiply(multiply(X8,X8),X9)),identity) = multiply(multiply(X8,X8),multiply(multiply(X8,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X9,identity),identity))))),identity)),
    inference(forward_demodulation,[],[f681,f257]) ).

fof(f681,plain,
    ! [X8,X9] : multiply(multiply(X8,multiply(multiply(X8,X8),X9)),identity) = multiply(multiply(X8,X8),multiply(multiply(X8,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X9,identity)),identity)))),identity)),
    inference(forward_demodulation,[],[f680,f257]) ).

fof(f680,plain,
    ! [X8,X9] : multiply(multiply(X8,multiply(multiply(X8,X8),X9)),identity) = multiply(multiply(X8,X8),multiply(multiply(X8,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X9,identity))),identity))),identity)),
    inference(forward_demodulation,[],[f648,f257]) ).

fof(f648,plain,
    ! [X8,X9] : multiply(multiply(X8,multiply(multiply(X8,X8),X9)),identity) = multiply(multiply(X8,X8),multiply(multiply(X8,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X9,identity)))),identity)),identity)),
    inference(superposition,[],[f612,f376]) ).

fof(f3026,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))),multiply(X2,multiply(X2,X2))) = X1,
    inference(superposition,[],[f647,f612]) ).

fof(f647,plain,
    ! [X6,X7,X5] : multiply(multiply(X5,multiply(multiply(X5,X5),multiply(X6,X7))),multiply(X7,multiply(X7,X7))) = multiply(multiply(X5,X5),multiply(multiply(X5,multiply(X6,identity)),identity)),
    inference(superposition,[],[f612,f1]) ).

fof(f3090,plain,
    ! [X16] : multiply(multiply(X16,X16),multiply(multiply(multiply(X16,identity),identity),multiply(multiply(multiply(X16,identity),identity),multiply(multiply(X16,identity),identity)))) = X16,
    inference(forward_demodulation,[],[f2993,f612]) ).

fof(f2993,plain,
    ! [X16] : multiply(multiply(X16,X16),multiply(multiply(X16,multiply(multiply(X16,X16),identity)),identity)) = multiply(multiply(X16,X16),multiply(multiply(multiply(X16,identity),identity),multiply(multiply(multiply(X16,identity),identity),multiply(multiply(X16,identity),identity)))),
    inference(superposition,[],[f647,f709]) ).

fof(f709,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
    inference(superposition,[],[f612,f683]) ).

fof(f6,plain,
    ! [X2,X3,X1,X4] : multiply(X4,multiply(multiply(X4,multiply(multiply(X4,X4),X2)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))))))) = X1,
    inference(superposition,[],[f1,f1]) ).

fof(f3,axiom,
    a != multiply(a,identity),
    file('/export/starexec/sandbox/tmp/tmp.3RBcUs1Snl/Vampire---4.8_28280',prove_order3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP121-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 01:41:39 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.3RBcUs1Snl/Vampire---4.8_28280
% 0.15/0.36  % (28389)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28393)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.22/0.42  % (28395)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.22/0.42  % (28391)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.22/0.42  % (28394)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.22/0.42  % (28396)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.22/0.42  % (28392)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42  % (28390)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 2.40/0.72  % (28395)First to succeed.
% 2.40/0.73  % (28395)Refutation found. Thanks to Tanya!
% 2.40/0.73  % SZS status Unsatisfiable for Vampire---4
% 2.40/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 2.40/0.73  % (28395)------------------------------
% 2.40/0.73  % (28395)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.40/0.73  % (28395)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.40/0.73  % (28395)Termination reason: Refutation
% 2.40/0.73  
% 2.40/0.73  % (28395)Memory used [KB]: 12920
% 2.40/0.73  % (28395)Time elapsed: 0.301 s
% 2.40/0.73  % (28395)------------------------------
% 2.40/0.73  % (28395)------------------------------
% 2.40/0.73  % (28389)Success in time 0.345 s
% 2.40/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------