TSTP Solution File: GRP102-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP102-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n006.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 15:38:58 EDT 2023
% Result : Unsatisfiable 1.29s 0.62s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 5
% Syntax : Number of formulae : 148 ( 140 unt; 0 def)
% Number of atoms : 164 ( 163 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 26 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 202 (; 202 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8644,plain,
$false,
inference(trivial_inequality_removal,[],[f8643]) ).
fof(f8643,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(superposition,[],[f8641,f1257]) ).
fof(f1257,plain,
! [X6,X5] : multiply(X6,X5) = multiply(X5,X6),
inference(forward_demodulation,[],[f1256,f1176]) ).
fof(f1176,plain,
! [X3] : multiply(identity,X3) = X3,
inference(forward_demodulation,[],[f1175,f1099]) ).
fof(f1099,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(forward_demodulation,[],[f1088,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/tmp/tmp.17XxPFO1Qr/Vampire---4.8_30936',inverse) ).
fof(f1088,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f1035,f1076]) ).
fof(f1076,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,multiply(X1,X0)),
inference(superposition,[],[f1048,f11]) ).
fof(f11,plain,
! [X2,X3] : multiply(X3,X2) = inverse(double_divide(X2,X3)),
inference(superposition,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.17XxPFO1Qr/Vampire---4.8_30936',multiply) ).
fof(f1048,plain,
! [X3] : double_divide(identity,inverse(X3)) = X3,
inference(backward_demodulation,[],[f636,f1035]) ).
fof(f636,plain,
! [X3] : double_divide(identity,inverse(X3)) = double_divide(double_divide(identity,multiply(identity,X3)),identity),
inference(backward_demodulation,[],[f353,f576]) ).
fof(f576,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f575,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.17XxPFO1Qr/Vampire---4.8_30936',identity) ).
fof(f575,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(forward_demodulation,[],[f552,f4]) ).
fof(f552,plain,
inverse(identity) = double_divide(double_divide(identity,inverse(identity)),inverse(identity)),
inference(superposition,[],[f448,f13]) ).
fof(f13,plain,
! [X1] : inverse(identity) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X1] : double_divide(identity,identity) = multiply(inverse(X1),X1),
inference(superposition,[],[f2,f4]) ).
fof(f448,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f447,f11]) ).
fof(f447,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f446,f3]) ).
fof(f446,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f445,f412]) ).
fof(f412,plain,
identity = multiply(multiply(identity,identity),identity),
inference(forward_demodulation,[],[f402,f16]) ).
fof(f16,plain,
! [X1] : inverse(inverse(X1)) = multiply(identity,X1),
inference(superposition,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f402,plain,
identity = multiply(inverse(inverse(identity)),identity),
inference(superposition,[],[f314,f268]) ).
fof(f268,plain,
identity = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f267,f16]) ).
fof(f267,plain,
identity = double_divide(inverse(inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f259,f3]) ).
fof(f259,plain,
identity = double_divide(double_divide(inverse(inverse(identity)),identity),inverse(identity)),
inference(superposition,[],[f228,f4]) ).
fof(f228,plain,
! [X0] : identity = double_divide(double_divide(inverse(X0),double_divide(inverse(identity),inverse(X0))),inverse(identity)),
inference(superposition,[],[f65,f13]) ).
fof(f65,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(multiply(X1,X0),inverse(X0))),inverse(identity)),
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.17XxPFO1Qr/Vampire---4.8_30936',single_axiom) ).
fof(f314,plain,
! [X0] : multiply(inverse(X0),identity) = double_divide(multiply(identity,X0),inverse(identity)),
inference(superposition,[],[f307,f16]) ).
fof(f307,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(forward_demodulation,[],[f298,f3]) ).
fof(f298,plain,
! [X0] : multiply(X0,identity) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f66,f4]) ).
fof(f66,plain,
! [X2,X3] : multiply(X3,X2) = double_divide(double_divide(X3,double_divide(identity,inverse(X2))),inverse(identity)),
inference(superposition,[],[f7,f30]) ).
fof(f30,plain,
! [X6,X7] : identity = double_divide(double_divide(X6,X7),multiply(X7,X6)),
inference(superposition,[],[f4,f11]) ).
fof(f445,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),multiply(multiply(identity,identity),identity))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f434,f11]) ).
fof(f434,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),inverse(double_divide(identity,multiply(identity,identity))))),inverse(identity)) = X0,
inference(superposition,[],[f7,f423]) ).
fof(f423,plain,
identity = double_divide(double_divide(identity,multiply(identity,identity)),identity),
inference(superposition,[],[f30,f412]) ).
fof(f353,plain,
! [X3] : double_divide(identity,inverse(X3)) = double_divide(double_divide(identity,multiply(inverse(identity),X3)),inverse(identity)),
inference(superposition,[],[f58,f66]) ).
fof(f58,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f1035,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),identity) = X0,
inference(superposition,[],[f666,f728]) ).
fof(f728,plain,
! [X4] : multiply(identity,X4) = multiply(X4,identity),
inference(backward_demodulation,[],[f677,f716]) ).
fof(f716,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f715,f576]) ).
fof(f715,plain,
inverse(identity) = multiply(identity,identity),
inference(forward_demodulation,[],[f708,f3]) ).
fof(f708,plain,
double_divide(identity,identity) = multiply(identity,identity),
inference(superposition,[],[f8,f576]) ).
fof(f677,plain,
! [X4] : multiply(identity,X4) = multiply(X4,multiply(identity,identity)),
inference(forward_demodulation,[],[f676,f11]) ).
fof(f676,plain,
! [X4] : multiply(X4,multiply(identity,identity)) = inverse(double_divide(X4,identity)),
inference(forward_demodulation,[],[f648,f3]) ).
fof(f648,plain,
! [X4] : multiply(X4,multiply(identity,identity)) = double_divide(double_divide(X4,identity),identity),
inference(backward_demodulation,[],[f566,f576]) ).
fof(f566,plain,
! [X4] : double_divide(double_divide(X4,inverse(identity)),inverse(identity)) = multiply(X4,multiply(identity,identity)),
inference(backward_demodulation,[],[f493,f561]) ).
fof(f561,plain,
multiply(identity,identity) = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[],[f560,f307]) ).
fof(f560,plain,
double_divide(inverse(identity),inverse(identity)) = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[],[f550,f3]) ).
fof(f550,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(identity,multiply(identity,identity)),
inference(superposition,[],[f448,f498]) ).
fof(f498,plain,
identity = multiply(double_divide(identity,multiply(identity,identity)),identity),
inference(forward_demodulation,[],[f470,f4]) ).
fof(f470,plain,
double_divide(identity,inverse(identity)) = multiply(double_divide(identity,multiply(identity,identity)),identity),
inference(superposition,[],[f307,f428]) ).
fof(f428,plain,
identity = inverse(double_divide(identity,multiply(identity,identity))),
inference(superposition,[],[f423,f3]) ).
fof(f493,plain,
! [X4] : multiply(X4,double_divide(identity,multiply(identity,identity))) = double_divide(double_divide(X4,inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f468,f3]) ).
fof(f468,plain,
! [X4] : multiply(X4,double_divide(identity,multiply(identity,identity))) = double_divide(double_divide(X4,double_divide(identity,identity)),inverse(identity)),
inference(superposition,[],[f66,f428]) ).
fof(f666,plain,
! [X1] : double_divide(double_divide(identity,multiply(X1,identity)),identity) = X1,
inference(backward_demodulation,[],[f583,f665]) ).
fof(f665,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X1),inverse(X0)) = multiply(X1,identity),
inference(forward_demodulation,[],[f664,f3]) ).
fof(f664,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),inverse(X0)) = multiply(X1,identity),
inference(forward_demodulation,[],[f663,f11]) ).
fof(f663,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),inverse(X0)) = inverse(double_divide(identity,X1)),
inference(forward_demodulation,[],[f635,f3]) ).
fof(f635,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),inverse(X0)) = double_divide(double_divide(identity,X1),identity),
inference(backward_demodulation,[],[f351,f576]) ).
fof(f351,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,inverse(identity)),X1),inverse(X0)) = double_divide(double_divide(identity,X1),inverse(identity)),
inference(superposition,[],[f58,f7]) ).
fof(f583,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(inverse(X0),X1),inverse(X0))),identity) = X1,
inference(backward_demodulation,[],[f58,f576]) ).
fof(f1175,plain,
! [X3] : multiply(identity,X3) = double_divide(inverse(X3),identity),
inference(forward_demodulation,[],[f1145,f1103]) ).
fof(f1103,plain,
! [X5] : inverse(X5) = multiply(identity,inverse(X5)),
inference(backward_demodulation,[],[f628,f1100]) ).
fof(f1100,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f622,f1099]) ).
fof(f622,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(backward_demodulation,[],[f307,f576]) ).
fof(f628,plain,
! [X5] : multiply(identity,inverse(X5)) = inverse(multiply(X5,identity)),
inference(backward_demodulation,[],[f323,f576]) ).
fof(f323,plain,
! [X5] : multiply(inverse(identity),inverse(X5)) = inverse(multiply(X5,identity)),
inference(superposition,[],[f11,f307]) ).
fof(f1145,plain,
! [X3] : multiply(identity,X3) = double_divide(multiply(identity,inverse(X3)),identity),
inference(backward_demodulation,[],[f692,f1103]) ).
fof(f692,plain,
! [X3] : multiply(identity,X3) = double_divide(multiply(identity,multiply(identity,inverse(X3))),identity),
inference(backward_demodulation,[],[f212,f688]) ).
fof(f688,plain,
! [X3] : multiply(identity,X3) = multiply(identity,multiply(identity,multiply(identity,X3))),
inference(backward_demodulation,[],[f167,f687]) ).
fof(f687,plain,
! [X2] : multiply(identity,X2) = inverse(multiply(identity,multiply(identity,inverse(X2)))),
inference(forward_demodulation,[],[f686,f628]) ).
fof(f686,plain,
! [X2] : multiply(identity,X2) = inverse(multiply(identity,inverse(multiply(X2,identity)))),
inference(forward_demodulation,[],[f685,f628]) ).
fof(f685,plain,
! [X2] : multiply(identity,X2) = inverse(inverse(multiply(multiply(X2,identity),identity))),
inference(forward_demodulation,[],[f684,f15]) ).
fof(f15,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = inverse(multiply(X3,X2)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = double_divide(multiply(X3,X2),identity),
inference(superposition,[],[f2,f2]) ).
fof(f684,plain,
! [X2] : multiply(identity,X2) = inverse(multiply(identity,double_divide(identity,multiply(X2,identity)))),
inference(forward_demodulation,[],[f555,f576]) ).
fof(f555,plain,
! [X2] : multiply(identity,X2) = inverse(multiply(inverse(identity),double_divide(identity,multiply(X2,identity)))),
inference(superposition,[],[f15,f448]) ).
fof(f167,plain,
! [X3] : multiply(identity,multiply(identity,multiply(identity,X3))) = inverse(multiply(identity,multiply(identity,inverse(X3)))),
inference(superposition,[],[f54,f19]) ).
fof(f19,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f16,f16]) ).
fof(f54,plain,
! [X1] : multiply(identity,multiply(identity,X1)) = inverse(multiply(identity,inverse(X1))),
inference(superposition,[],[f16,f19]) ).
fof(f212,plain,
! [X3] : multiply(identity,multiply(identity,multiply(identity,X3))) = double_divide(multiply(identity,multiply(identity,inverse(X3))),identity),
inference(superposition,[],[f55,f19]) ).
fof(f55,plain,
! [X2] : multiply(identity,multiply(identity,X2)) = double_divide(multiply(identity,inverse(X2)),identity),
inference(superposition,[],[f8,f19]) ).
fof(f1256,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = multiply(X5,X6),
inference(forward_demodulation,[],[f1255,f11]) ).
fof(f1255,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = inverse(double_divide(X6,X5)),
inference(forward_demodulation,[],[f1254,f3]) ).
fof(f1254,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = double_divide(double_divide(X6,X5),identity),
inference(forward_demodulation,[],[f1253,f1177]) ).
fof(f1177,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f16,f1176]) ).
fof(f1253,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = double_divide(double_divide(X6,inverse(inverse(X5))),identity),
inference(forward_demodulation,[],[f1091,f3]) ).
fof(f1091,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = double_divide(double_divide(X6,double_divide(inverse(X5),identity)),identity),
inference(backward_demodulation,[],[f617,f1076]) ).
fof(f617,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = double_divide(double_divide(X6,double_divide(identity,multiply(identity,inverse(X5)))),identity),
inference(backward_demodulation,[],[f296,f576]) ).
fof(f296,plain,
! [X6,X5] : multiply(X6,multiply(identity,X5)) = double_divide(double_divide(X6,double_divide(identity,multiply(identity,inverse(X5)))),inverse(identity)),
inference(superposition,[],[f66,f19]) ).
fof(f8641,plain,
multiply(a4,b4) != multiply(b4,a4),
inference(trivial_inequality_removal,[],[f8640]) ).
fof(f8640,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f8542,f1257]) ).
fof(f8542,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(superposition,[],[f1191,f7631]) ).
fof(f7631,plain,
! [X10,X11,X12] : multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X12,X11)),
inference(backward_demodulation,[],[f2708,f7545]) ).
fof(f7545,plain,
! [X82,X80,X81] : multiply(X82,multiply(X80,X81)) = double_divide(double_divide(X81,X82),inverse(X80)),
inference(superposition,[],[f2670,f2266]) ).
fof(f2266,plain,
! [X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = X4,
inference(forward_demodulation,[],[f2241,f11]) ).
fof(f2241,plain,
! [X4,X5] : multiply(inverse(X5),inverse(double_divide(X4,X5))) = X4,
inference(superposition,[],[f2194,f1554]) ).
fof(f1554,plain,
! [X12,X13] : inverse(X13) = multiply(X12,double_divide(X12,X13)),
inference(forward_demodulation,[],[f1534,f1225]) ).
fof(f1225,plain,
! [X8] : inverse(X8) = double_divide(identity,X8),
inference(forward_demodulation,[],[f1224,f1176]) ).
fof(f1224,plain,
! [X8] : multiply(identity,inverse(X8)) = double_divide(identity,X8),
inference(forward_demodulation,[],[f1223,f1176]) ).
fof(f1223,plain,
! [X8] : multiply(identity,multiply(identity,inverse(X8))) = double_divide(identity,X8),
inference(forward_demodulation,[],[f1222,f1188]) ).
fof(f1188,plain,
! [X14,X13] : inverse(multiply(X13,X14)) = double_divide(X13,X14),
inference(backward_demodulation,[],[f1057,f1176]) ).
fof(f1057,plain,
! [X14,X13] : inverse(multiply(X13,X14)) = multiply(identity,double_divide(X13,X14)),
inference(backward_demodulation,[],[f621,f1048]) ).
fof(f621,plain,
! [X14,X13] : inverse(multiply(X13,X14)) = multiply(identity,double_divide(X13,double_divide(identity,inverse(X14)))),
inference(backward_demodulation,[],[f305,f576]) ).
fof(f305,plain,
! [X14,X13] : multiply(inverse(identity),double_divide(X13,double_divide(identity,inverse(X14)))) = inverse(multiply(X13,X14)),
inference(superposition,[],[f11,f66]) ).
fof(f1222,plain,
! [X8] : multiply(identity,multiply(identity,inverse(X8))) = inverse(multiply(identity,X8)),
inference(forward_demodulation,[],[f1117,f3]) ).
fof(f1117,plain,
! [X8] : multiply(identity,multiply(identity,inverse(X8))) = double_divide(multiply(identity,X8),identity),
inference(backward_demodulation,[],[f926,f1100]) ).
fof(f926,plain,
! [X8] : multiply(identity,multiply(identity,inverse(X8))) = double_divide(multiply(identity,multiply(X8,identity)),identity),
inference(superposition,[],[f55,f896]) ).
fof(f896,plain,
! [X2] : inverse(inverse(X2)) = multiply(X2,identity),
inference(superposition,[],[f622,f3]) ).
fof(f1534,plain,
! [X12,X13] : multiply(X12,double_divide(X12,X13)) = double_divide(identity,X13),
inference(superposition,[],[f1048,f1484]) ).
fof(f1484,plain,
! [X2,X3] : inverse(multiply(X2,double_divide(X2,X3))) = X3,
inference(superposition,[],[f1239,f3]) ).
fof(f1239,plain,
! [X12,X13] : double_divide(multiply(X12,double_divide(X12,X13)),identity) = X13,
inference(forward_demodulation,[],[f1234,f11]) ).
fof(f1234,plain,
! [X12,X13] : double_divide(inverse(double_divide(double_divide(X12,X13),X12)),identity) = X13,
inference(backward_demodulation,[],[f884,f1225]) ).
fof(f884,plain,
! [X12,X13] : double_divide(double_divide(identity,double_divide(double_divide(X12,X13),X12)),identity) = X13,
inference(backward_demodulation,[],[f595,f856]) ).
fof(f856,plain,
! [X3,X4,X5] : multiply(double_divide(double_divide(double_divide(X4,X3),X5),inverse(X4)),X3) = X5,
inference(superposition,[],[f577,f2]) ).
fof(f577,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[],[f7,f576]) ).
fof(f595,plain,
! [X10,X11,X12,X13] : double_divide(double_divide(identity,double_divide(double_divide(X12,X13),multiply(double_divide(double_divide(double_divide(X11,X10),X12),inverse(X11)),X10))),identity) = X13,
inference(backward_demodulation,[],[f79,f576]) ).
fof(f79,plain,
! [X10,X11,X12,X13] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X12,X13),multiply(double_divide(double_divide(double_divide(X11,X10),X12),inverse(X11)),X10))),inverse(identity)) = X13,
inference(forward_demodulation,[],[f62,f11]) ).
fof(f62,plain,
! [X10,X11,X12,X13] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X12,X13),inverse(double_divide(X10,double_divide(double_divide(double_divide(X11,X10),X12),inverse(X11)))))),inverse(identity)) = X13,
inference(superposition,[],[f7,f7]) ).
fof(f2194,plain,
! [X34,X33] : multiply(multiply(X34,X33),inverse(X33)) = X34,
inference(forward_demodulation,[],[f2193,f11]) ).
fof(f2193,plain,
! [X34,X33] : multiply(inverse(double_divide(X33,X34)),inverse(X33)) = X34,
inference(forward_demodulation,[],[f2192,f1225]) ).
fof(f2192,plain,
! [X34,X33] : multiply(double_divide(identity,double_divide(X33,X34)),inverse(X33)) = X34,
inference(forward_demodulation,[],[f2191,f576]) ).
fof(f2191,plain,
! [X34,X33] : multiply(double_divide(inverse(identity),double_divide(X33,X34)),inverse(X33)) = X34,
inference(forward_demodulation,[],[f2136,f1382]) ).
fof(f1382,plain,
! [X2,X3] : double_divide(X2,X3) = double_divide(X3,X2),
inference(superposition,[],[f1188,f1189]) ).
fof(f1189,plain,
! [X2,X3] : double_divide(X2,X3) = inverse(multiply(X3,X2)),
inference(backward_demodulation,[],[f15,f1176]) ).
fof(f2136,plain,
! [X34,X33] : multiply(double_divide(double_divide(X33,X34),inverse(identity)),inverse(X33)) = X34,
inference(superposition,[],[f856,f1048]) ).
fof(f2670,plain,
! [X18,X19,X20] : multiply(X19,X20) = double_divide(double_divide(multiply(X18,X20),X19),X18),
inference(forward_demodulation,[],[f2608,f2633]) ).
fof(f2633,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f2583,f1225]) ).
fof(f2583,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(double_divide(identity,X1),inverse(X0)),
inference(superposition,[],[f1229,f4]) ).
fof(f1229,plain,
! [X2,X0,X1] : multiply(X2,X0) = double_divide(double_divide(double_divide(X1,inverse(X0)),X2),inverse(X1)),
inference(backward_demodulation,[],[f651,f1225]) ).
fof(f651,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = multiply(X2,X0),
inference(forward_demodulation,[],[f650,f11]) ).
fof(f650,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = inverse(double_divide(X0,X2)),
inference(forward_demodulation,[],[f591,f3]) ).
fof(f591,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = double_divide(double_divide(X0,X2),identity),
inference(backward_demodulation,[],[f73,f576]) ).
fof(f73,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
inference(superposition,[],[f7,f7]) ).
fof(f2608,plain,
! [X18,X19,X20] : multiply(X19,X20) = double_divide(double_divide(double_divide(inverse(X18),inverse(X20)),X19),X18),
inference(superposition,[],[f1229,f1177]) ).
fof(f2708,plain,
! [X10,X11,X12] : multiply(multiply(X10,X11),X12) = double_divide(double_divide(X11,X10),inverse(X12)),
inference(superposition,[],[f2633,f1189]) ).
fof(f1191,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f1190]) ).
fof(f1190,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f649,f1176]) ).
fof(f649,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f579]) ).
fof(f579,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f14,f576]) ).
fof(f14,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/tmp/tmp.17XxPFO1Qr/Vampire---4.8_30936',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP102-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n006.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 : Wed Aug 30 17:25:21 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (31102)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (31128)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (31127)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (31130)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (31129)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)
% 0.22/0.42 % (31132)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)
% 0.22/0.42 % (31134)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)
% 0.22/0.43 % (31135)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)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.46 TRYING [5]
% 0.22/0.47 TRYING [4]
% 0.22/0.53 TRYING [6]
% 1.29/0.62 % (31134)First to succeed.
% 1.29/0.62 % (31134)Refutation found. Thanks to Tanya!
% 1.29/0.62 % SZS status Unsatisfiable for Vampire---4
% 1.29/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 1.29/0.63 % (31134)------------------------------
% 1.29/0.63 % (31134)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.29/0.63 % (31134)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.29/0.63 % (31134)Termination reason: Refutation
% 1.29/0.63
% 1.29/0.63 % (31134)Memory used [KB]: 7291
% 1.29/0.63 % (31134)Time elapsed: 0.200 s
% 1.29/0.63 % (31134)------------------------------
% 1.29/0.63 % (31134)------------------------------
% 1.29/0.63 % (31102)Success in time 0.247 s
% 1.29/0.63 % Vampire---4.8 exiting
%------------------------------------------------------------------------------