TSTP Solution File: GRP567-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP567-1 : 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 : n021.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 15:55:54 EDT 2023

% Result   : Unsatisfiable 1.42s 0.64s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  115 ( 115 unt;   0 def)
%            Number of atoms       :  115 ( 114 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  222 (; 222   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9445,plain,
    $false,
    inference(trivial_inequality_removal,[],[f9444]) ).

fof(f9444,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(forward_demodulation,[],[f9297,f1474]) ).

fof(f1474,plain,
    ! [X2,X3] : multiply(X3,X2) = multiply(X2,X3),
    inference(superposition,[],[f1270,f10]) ).

fof(f10,plain,
    ! [X2,X3] : multiply(X3,X2) = inverse(double_divide(X2,X3)),
    inference(superposition,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/tmp/tmp.VMI7g0CIHz/Vampire---4.8_12806',inverse) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/tmp/tmp.VMI7g0CIHz/Vampire---4.8_12806',multiply) ).

fof(f1270,plain,
    ! [X10,X9] : multiply(X9,X10) = inverse(double_divide(X9,X10)),
    inference(superposition,[],[f1060,f1224]) ).

fof(f1224,plain,
    ! [X2,X1] : double_divide(X2,double_divide(X2,X1)) = X1,
    inference(forward_demodulation,[],[f1210,f670]) ).

fof(f670,plain,
    ! [X1] : inverse(inverse(X1)) = X1,
    inference(backward_demodulation,[],[f14,f669]) ).

fof(f669,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(backward_demodulation,[],[f7,f616]) ).

fof(f616,plain,
    ! [X0] : double_divide(inverse(X0),identity) = X0,
    inference(backward_demodulation,[],[f369,f575]) ).

fof(f575,plain,
    identity = inverse(identity),
    inference(superposition,[],[f537,f397]) ).

fof(f397,plain,
    ! [X0] : inverse(X0) = double_divide(multiply(identity,X0),inverse(identity)),
    inference(superposition,[],[f369,f14]) ).

fof(f537,plain,
    identity = double_divide(multiply(identity,identity),inverse(identity)),
    inference(forward_demodulation,[],[f536,f14]) ).

fof(f536,plain,
    identity = double_divide(inverse(inverse(identity)),inverse(identity)),
    inference(forward_demodulation,[],[f535,f3]) ).

fof(f535,plain,
    identity = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
    inference(forward_demodulation,[],[f503,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.VMI7g0CIHz/Vampire---4.8_12806',identity) ).

fof(f503,plain,
    ! [X0] : identity = double_divide(double_divide(inverse(identity),double_divide(X0,inverse(X0))),inverse(identity)),
    inference(superposition,[],[f360,f12]) ).

fof(f12,plain,
    ! [X1] : inverse(identity) = multiply(inverse(X1),X1),
    inference(forward_demodulation,[],[f8,f3]) ).

fof(f8,plain,
    ! [X1] : double_divide(identity,identity) = multiply(inverse(X1),X1),
    inference(superposition,[],[f2,f4]) ).

fof(f360,plain,
    ! [X0,X1] : identity = double_divide(double_divide(multiply(X0,X1),double_divide(X1,X0)),inverse(identity)),
    inference(superposition,[],[f63,f202]) ).

fof(f202,plain,
    ! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,inverse(multiply(X1,X0))),inverse(identity)),
    inference(superposition,[],[f186,f13]) ).

fof(f13,plain,
    ! [X2,X3] : multiply(identity,double_divide(X2,X3)) = inverse(multiply(X3,X2)),
    inference(forward_demodulation,[],[f9,f3]) ).

fof(f9,plain,
    ! [X2,X3] : multiply(identity,double_divide(X2,X3)) = double_divide(multiply(X3,X2),identity),
    inference(superposition,[],[f2,f2]) ).

fof(f186,plain,
    ! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),inverse(identity)) = X0,
    inference(superposition,[],[f74,f4]) ).

fof(f74,plain,
    ! [X2,X3] : double_divide(double_divide(X2,multiply(double_divide(X2,inverse(identity)),X3)),inverse(identity)) = X3,
    inference(forward_demodulation,[],[f73,f10]) ).

fof(f73,plain,
    ! [X2,X3] : double_divide(double_divide(X2,inverse(double_divide(X3,double_divide(X2,inverse(identity))))),inverse(identity)) = X3,
    inference(forward_demodulation,[],[f59,f3]) ).

fof(f59,plain,
    ! [X2,X3] : double_divide(double_divide(X2,double_divide(double_divide(X3,double_divide(X2,inverse(identity))),identity)),inverse(identity)) = X3,
    inference(superposition,[],[f6,f4]) ).

fof(f6,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)) = X1,
    inference(forward_demodulation,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.VMI7g0CIHz/Vampire---4.8_12806',single_axiom) ).

fof(f63,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
    inference(forward_demodulation,[],[f51,f3]) ).

fof(f51,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),double_divide(identity,identity))),inverse(identity)) = X1,
    inference(superposition,[],[f6,f3]) ).

fof(f369,plain,
    ! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f368,f3]) ).

fof(f368,plain,
    ! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f354,f4]) ).

fof(f354,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity)) = X0,
    inference(superposition,[],[f63,f4]) ).

fof(f7,plain,
    ! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
    inference(superposition,[],[f2,f3]) ).

fof(f14,plain,
    ! [X1] : inverse(inverse(X1)) = multiply(identity,X1),
    inference(superposition,[],[f7,f3]) ).

fof(f1210,plain,
    ! [X2,X1] : inverse(inverse(X1)) = double_divide(X2,double_divide(X2,X1)),
    inference(superposition,[],[f934,f1188]) ).

fof(f1188,plain,
    ! [X6,X7] : double_divide(double_divide(X6,X7),X6) = X7,
    inference(forward_demodulation,[],[f1174,f670]) ).

fof(f1174,plain,
    ! [X6,X7] : inverse(inverse(X7)) = double_divide(double_divide(X6,X7),X6),
    inference(superposition,[],[f703,f1060]) ).

fof(f703,plain,
    ! [X2,X3] : double_divide(X2,X3) = inverse(multiply(X3,X2)),
    inference(backward_demodulation,[],[f13,f669]) ).

fof(f934,plain,
    ! [X2,X3,X1] : inverse(X2) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),
    inference(forward_demodulation,[],[f930,f924]) ).

fof(f924,plain,
    ! [X8] : double_divide(identity,X8) = inverse(X8),
    inference(backward_demodulation,[],[f701,f915]) ).

fof(f915,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f795,f2]) ).

fof(f795,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
    inference(backward_demodulation,[],[f649,f701]) ).

fof(f649,plain,
    ! [X0] : double_divide(multiply(inverse(X0),identity),identity) = X0,
    inference(backward_demodulation,[],[f599,f646]) ).

fof(f646,plain,
    ! [X8] : double_divide(identity,multiply(identity,X8)) = multiply(inverse(X8),identity),
    inference(forward_demodulation,[],[f645,f2]) ).

fof(f645,plain,
    ! [X8] : double_divide(identity,multiply(identity,X8)) = double_divide(double_divide(identity,inverse(X8)),identity),
    inference(forward_demodulation,[],[f613,f3]) ).

fof(f613,plain,
    ! [X8] : double_divide(identity,multiply(identity,X8)) = double_divide(double_divide(identity,double_divide(X8,identity)),identity),
    inference(backward_demodulation,[],[f358,f575]) ).

fof(f358,plain,
    ! [X8] : double_divide(identity,multiply(identity,X8)) = double_divide(double_divide(identity,double_divide(X8,inverse(identity))),inverse(identity)),
    inference(superposition,[],[f63,f186]) ).

fof(f599,plain,
    ! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),identity) = X0,
    inference(backward_demodulation,[],[f186,f575]) ).

fof(f701,plain,
    ! [X8] : double_divide(identity,X8) = multiply(inverse(X8),identity),
    inference(backward_demodulation,[],[f646,f669]) ).

fof(f930,plain,
    ! [X2,X3,X1] : inverse(X2) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),
    inference(backward_demodulation,[],[f797,f924]) ).

fof(f797,plain,
    ! [X2,X3,X1] : double_divide(identity,X2) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),
    inference(backward_demodulation,[],[f647,f701]) ).

fof(f647,plain,
    ! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = multiply(inverse(X2),identity),
    inference(backward_demodulation,[],[f378,f646]) ).

fof(f378,plain,
    ! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = double_divide(identity,multiply(identity,X2)),
    inference(backward_demodulation,[],[f355,f358]) ).

fof(f355,plain,
    ! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = double_divide(double_divide(identity,double_divide(X2,inverse(identity))),inverse(identity)),
    inference(superposition,[],[f63,f6]) ).

fof(f1060,plain,
    ! [X8,X9] : inverse(X8) = multiply(X9,double_divide(X9,X8)),
    inference(forward_demodulation,[],[f1048,f703]) ).

fof(f1048,plain,
    ! [X8,X9] : inverse(X8) = multiply(X9,inverse(multiply(X8,X9))),
    inference(superposition,[],[f1027,f1027]) ).

fof(f1027,plain,
    ! [X8,X7] : multiply(multiply(X7,X8),inverse(X7)) = X8,
    inference(superposition,[],[f1019,f670]) ).

fof(f1019,plain,
    ! [X4,X5] : multiply(multiply(inverse(X4),X5),X4) = X5,
    inference(forward_demodulation,[],[f1010,f670]) ).

fof(f1010,plain,
    ! [X4,X5] : inverse(inverse(X5)) = multiply(multiply(inverse(X4),X5),X4),
    inference(superposition,[],[f10,f931]) ).

fof(f931,plain,
    ! [X6,X7] : inverse(X7) = double_divide(X6,multiply(inverse(X6),X7)),
    inference(backward_demodulation,[],[f803,f924]) ).

fof(f803,plain,
    ! [X6,X7] : double_divide(identity,X7) = double_divide(X6,multiply(inverse(X6),X7)),
    inference(forward_demodulation,[],[f802,f669]) ).

fof(f802,plain,
    ! [X6,X7] : double_divide(identity,multiply(identity,X7)) = double_divide(X6,multiply(inverse(X6),X7)),
    inference(forward_demodulation,[],[f617,f3]) ).

fof(f617,plain,
    ! [X6,X7] : double_divide(identity,multiply(identity,X7)) = double_divide(X6,multiply(double_divide(X6,identity),X7)),
    inference(backward_demodulation,[],[f373,f575]) ).

fof(f373,plain,
    ! [X6,X7] : double_divide(identity,multiply(identity,X7)) = double_divide(X6,multiply(double_divide(X6,inverse(identity)),X7)),
    inference(backward_demodulation,[],[f357,f358]) ).

fof(f357,plain,
    ! [X6,X7] : double_divide(X6,multiply(double_divide(X6,inverse(identity)),X7)) = double_divide(double_divide(identity,double_divide(X7,inverse(identity))),inverse(identity)),
    inference(superposition,[],[f63,f74]) ).

fof(f9297,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
    inference(superposition,[],[f5,f7451]) ).

fof(f7451,plain,
    ! [X88,X86,X87] : multiply(multiply(X86,X87),X88) = multiply(X86,multiply(X88,X87)),
    inference(forward_demodulation,[],[f7374,f2718]) ).

fof(f2718,plain,
    ! [X8,X9,X7] : double_divide(inverse(X9),double_divide(X7,X8)) = multiply(X9,multiply(X7,X8)),
    inference(superposition,[],[f1759,f1479]) ).

fof(f1479,plain,
    ! [X8,X9] : inverse(multiply(X8,X9)) = double_divide(X8,X9),
    inference(superposition,[],[f670,f1270]) ).

fof(f1759,plain,
    ! [X21,X20] : multiply(X20,X21) = double_divide(inverse(X20),inverse(X21)),
    inference(superposition,[],[f1224,f1003]) ).

fof(f1003,plain,
    ! [X8,X7] : inverse(X8) = double_divide(inverse(X7),multiply(X7,X8)),
    inference(superposition,[],[f931,f670]) ).

fof(f7374,plain,
    ! [X88,X86,X87] : multiply(multiply(X86,X87),X88) = double_divide(inverse(X86),double_divide(X88,X87)),
    inference(superposition,[],[f7276,f1027]) ).

fof(f7276,plain,
    ! [X18,X16,X17] : multiply(X17,X16) = double_divide(X18,double_divide(X16,multiply(X17,X18))),
    inference(forward_demodulation,[],[f7275,f10]) ).

fof(f7275,plain,
    ! [X18,X16,X17] : inverse(double_divide(X16,X17)) = double_divide(X18,double_divide(X16,multiply(X17,X18))),
    inference(forward_demodulation,[],[f7159,f3]) ).

fof(f7159,plain,
    ! [X18,X16,X17] : double_divide(double_divide(X16,X17),identity) = double_divide(X18,double_divide(X16,multiply(X17,X18))),
    inference(superposition,[],[f620,f5734]) ).

fof(f5734,plain,
    ! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(X0,multiply(X1,X2)),X2),
    inference(backward_demodulation,[],[f1359,f5733]) ).

fof(f5733,plain,
    ! [X16,X14,X15] : double_divide(multiply(X15,X14),X16) = double_divide(X14,multiply(X15,X16)),
    inference(backward_demodulation,[],[f3395,f5732]) ).

fof(f5732,plain,
    ! [X21,X22,X23] : double_divide(X21,multiply(X22,X23)) = inverse(multiply(X23,multiply(X21,X22))),
    inference(forward_demodulation,[],[f5622,f2224]) ).

fof(f2224,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X2,multiply(X0,X1)),
    inference(superposition,[],[f1075,f1270]) ).

fof(f1075,plain,
    ! [X6,X7] : double_divide(X6,inverse(X7)) = multiply(X7,inverse(X6)),
    inference(superposition,[],[f1027,f1058]) ).

fof(f1058,plain,
    ! [X2,X3] : multiply(X3,double_divide(X3,inverse(X2))) = X2,
    inference(forward_demodulation,[],[f1044,f703]) ).

fof(f1044,plain,
    ! [X2,X3] : multiply(X3,inverse(multiply(inverse(X2),X3))) = X2,
    inference(superposition,[],[f1027,f1019]) ).

fof(f5622,plain,
    ! [X21,X22,X23] : inverse(double_divide(double_divide(X21,X22),inverse(X23))) = double_divide(X21,multiply(X22,X23)),
    inference(superposition,[],[f5568,f1353]) ).

fof(f1353,plain,
    ! [X24,X23] : multiply(double_divide(X23,inverse(X24)),X23) = X24,
    inference(superposition,[],[f1058,f1259]) ).

fof(f1259,plain,
    ! [X10,X11] : double_divide(double_divide(X10,X11),X11) = X10,
    inference(superposition,[],[f1224,f1188]) ).

fof(f5568,plain,
    ! [X8,X6,X7] : inverse(X8) = double_divide(X6,multiply(X7,multiply(X8,double_divide(X6,X7)))),
    inference(backward_demodulation,[],[f1230,f5564]) ).

fof(f5564,plain,
    ! [X70,X68,X69] : double_divide(double_divide(X68,inverse(X69)),X70) = multiply(X68,double_divide(X70,X69)),
    inference(forward_demodulation,[],[f5524,f5561]) ).

fof(f5561,plain,
    ! [X40,X38,X39] : multiply(double_divide(inverse(X38),X39),inverse(X40)) = multiply(X38,double_divide(X40,X39)),
    inference(forward_demodulation,[],[f5514,f1228]) ).

fof(f1228,plain,
    ! [X18,X16,X17] : double_divide(X16,double_divide(X18,inverse(X17))) = multiply(X18,double_divide(X16,X17)),
    inference(forward_demodulation,[],[f1217,f10]) ).

fof(f1217,plain,
    ! [X18,X16,X17] : inverse(double_divide(double_divide(X16,X17),X18)) = double_divide(X16,double_divide(X18,inverse(X17))),
    inference(superposition,[],[f934,f1188]) ).

fof(f5514,plain,
    ! [X40,X38,X39] : double_divide(X40,double_divide(X38,inverse(X39))) = multiply(double_divide(inverse(X38),X39),inverse(X40)),
    inference(superposition,[],[f1175,f1741]) ).

fof(f1741,plain,
    ! [X16,X17] : double_divide(inverse(X16),X17) = inverse(double_divide(X16,inverse(X17))),
    inference(superposition,[],[f1003,f1058]) ).

fof(f1175,plain,
    ! [X8,X9] : double_divide(X8,X9) = multiply(inverse(X9),inverse(X8)),
    inference(superposition,[],[f1027,f1060]) ).

fof(f5524,plain,
    ! [X70,X68,X69] : double_divide(double_divide(X68,inverse(X69)),X70) = multiply(double_divide(inverse(X68),X69),inverse(X70)),
    inference(superposition,[],[f1583,f1741]) ).

fof(f1583,plain,
    ! [X2,X3] : double_divide(X2,X3) = multiply(inverse(X2),inverse(X3)),
    inference(superposition,[],[f1417,f1276]) ).

fof(f1276,plain,
    ! [X2,X1] : inverse(X2) = multiply(double_divide(X1,X2),X1),
    inference(forward_demodulation,[],[f1266,f3]) ).

fof(f1266,plain,
    ! [X2,X1] : double_divide(X2,identity) = multiply(double_divide(X1,X2),X1),
    inference(superposition,[],[f2,f1224]) ).

fof(f1417,plain,
    ! [X8,X9] : multiply(inverse(X8),multiply(X9,X8)) = X9,
    inference(forward_demodulation,[],[f1405,f10]) ).

fof(f1405,plain,
    ! [X8,X9] : multiply(inverse(X8),inverse(double_divide(X8,X9))) = X9,
    inference(superposition,[],[f1027,f1216]) ).

fof(f1216,plain,
    ! [X14,X15] : inverse(X14) = multiply(double_divide(X14,X15),X15),
    inference(superposition,[],[f1060,f1188]) ).

fof(f1230,plain,
    ! [X8,X6,X7] : inverse(X8) = double_divide(X6,multiply(X7,double_divide(double_divide(X8,inverse(X7)),X6))),
    inference(backward_demodulation,[],[f1126,f1228]) ).

fof(f1126,plain,
    ! [X8,X6,X7] : inverse(X8) = double_divide(X6,double_divide(double_divide(X8,inverse(X7)),double_divide(X7,inverse(X6)))),
    inference(forward_demodulation,[],[f1100,f703]) ).

fof(f1100,plain,
    ! [X8,X6,X7] : inverse(X8) = double_divide(X6,double_divide(double_divide(X8,inverse(X7)),inverse(multiply(inverse(X6),X7)))),
    inference(superposition,[],[f934,f931]) ).

fof(f3395,plain,
    ! [X16,X14,X15] : double_divide(multiply(X15,X14),X16) = inverse(multiply(X16,multiply(X14,X15))),
    inference(forward_demodulation,[],[f3280,f2224]) ).

fof(f3280,plain,
    ! [X16,X14,X15] : inverse(double_divide(double_divide(X14,X15),inverse(X16))) = double_divide(multiply(X15,X14),X16),
    inference(superposition,[],[f1002,f1058]) ).

fof(f1002,plain,
    ! [X6,X4,X5] : inverse(X6) = double_divide(multiply(X4,X5),multiply(double_divide(X5,X4),X6)),
    inference(superposition,[],[f931,f703]) ).

fof(f1359,plain,
    ! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
    inference(superposition,[],[f1192,f10]) ).

fof(f1192,plain,
    ! [X4,X5] : multiply(double_divide(inverse(X5),X4),X4) = X5,
    inference(backward_demodulation,[],[f1019,f1177]) ).

fof(f1177,plain,
    ! [X11,X12] : double_divide(inverse(X11),X12) = multiply(inverse(X12),X11),
    inference(superposition,[],[f1019,f1060]) ).

fof(f620,plain,
    ! [X2,X1] : double_divide(X1,X2) = double_divide(multiply(X2,X1),identity),
    inference(backward_demodulation,[],[f398,f575]) ).

fof(f398,plain,
    ! [X2,X1] : double_divide(X1,X2) = double_divide(multiply(X2,X1),inverse(identity)),
    inference(superposition,[],[f369,f10]) ).

fof(f5,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/tmp/tmp.VMI7g0CIHz/Vampire---4.8_12806',prove_these_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 30 17:26:30 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.43  % (13007)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (13104)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)
% 0.23/0.43  % (13092)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43  % (13095)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43  % (13100)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43  % (13098)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)
% 0.23/0.43  % (13101)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)
% 0.23/0.43  % (13103)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)
% 0.23/0.43  TRYING [1]
% 0.23/0.43  TRYING [2]
% 0.23/0.43  TRYING [1]
% 0.23/0.43  TRYING [2]
% 0.23/0.43  TRYING [3]
% 0.23/0.44  TRYING [3]
% 0.23/0.44  TRYING [4]
% 0.23/0.45  TRYING [5]
% 0.23/0.45  TRYING [4]
% 0.23/0.48  TRYING [6]
% 0.23/0.57  TRYING [7]
% 0.23/0.58  TRYING [5]
% 1.42/0.63  % (13103)First to succeed.
% 1.42/0.64  % (13103)Refutation found. Thanks to Tanya!
% 1.42/0.64  % SZS status Unsatisfiable for Vampire---4
% 1.42/0.64  % SZS output start Proof for Vampire---4
% See solution above
% 1.42/0.64  % (13103)------------------------------
% 1.42/0.64  % (13103)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.42/0.64  % (13103)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.42/0.64  % (13103)Termination reason: Refutation
% 1.42/0.64  
% 1.42/0.64  % (13103)Memory used [KB]: 7675
% 1.42/0.64  % (13103)Time elapsed: 0.207 s
% 1.42/0.64  % (13103)------------------------------
% 1.42/0.64  % (13103)------------------------------
% 1.42/0.64  % (13007)Success in time 0.243 s
% 1.42/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------