TSTP Solution File: GRP411-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP411-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Tue Apr 30 12:06:33 EDT 2024
% Result : Unsatisfiable 7.10s 1.42s
% Output : Refutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 2
% Syntax : Number of formulae : 165 ( 165 unt; 0 def)
% Number of atoms : 165 ( 164 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 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 : 530 ( 530 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67336,plain,
$false,
inference(trivial_inequality_removal,[],[f67222]) ).
fof(f67222,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f39663]) ).
fof(f39663,plain,
! [X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(multiply(X3,X0),X1),
inference(forward_demodulation,[],[f39662,f28421]) ).
fof(f28421,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,inverse(X2)),multiply(X2,X1)),
inference(forward_demodulation,[],[f28420,f26224]) ).
fof(f26224,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f26053,f79]) ).
fof(f79,plain,
! [X2,X3,X1] : multiply(multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f26053,plain,
! [X2,X0,X1] : inverse(inverse(X0)) = multiply(multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f79,f25842]) ).
fof(f25842,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f25841,f23990]) ).
fof(f23990,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),
inference(forward_demodulation,[],[f23675,f23966]) ).
fof(f23966,plain,
! [X3,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X3) = X3,
inference(forward_demodulation,[],[f23566,f23385]) ).
fof(f23385,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(forward_demodulation,[],[f22995,f79]) ).
fof(f22995,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(multiply(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f79,f4349]) ).
fof(f4349,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(X2))) = inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),
inference(forward_demodulation,[],[f4316,f1755]) ).
fof(f1755,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f801,f669]) ).
fof(f669,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(superposition,[],[f594,f1]) ).
fof(f594,plain,
! [X2,X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f263,f1]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X3))),
inference(superposition,[],[f204,f1]) ).
fof(f204,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X1))),
inference(superposition,[],[f143,f1]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X0,inverse(X2))))),
inference(superposition,[],[f74,f75]) ).
fof(f75,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X3,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X3,inverse(X2))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f74,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(X1,X2)))),multiply(X4,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f3,f3]) ).
fof(f801,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1))) = X3,
inference(superposition,[],[f1,f669]) ).
fof(f4316,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))) = multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X3)))),multiply(X4,inverse(multiply(X0,inverse(X2))))),inverse(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(X2))))),
inference(superposition,[],[f1,f1061]) ).
fof(f1061,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)))),multiply(X3,inverse(X1))),
inference(superposition,[],[f75,f946]) ).
fof(f946,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f871,f801]) ).
fof(f871,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1)))),X3),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f5,f669]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f23566,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))),X3) = X3,
inference(superposition,[],[f23385,f5426]) ).
fof(f5426,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f5225,f4349]) ).
fof(f5225,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1)))),multiply(X2,inverse(X1)))),
inference(superposition,[],[f4440,f3]) ).
fof(f4440,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X2),X2))) = inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f4349,f946]) ).
fof(f23675,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X0)),
inference(superposition,[],[f23385,f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f75,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X2))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f25841,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f25522,f25066]) ).
fof(f25066,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f23999,f669]) ).
fof(f23999,plain,
! [X1] : inverse(X1) = multiply(inverse(X1),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f23848,f23994]) ).
fof(f23994,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(X2),multiply(multiply(inverse(inverse(multiply(X2,X0))),inverse(X0)),inverse(X1))),
inference(forward_demodulation,[],[f23993,f23966]) ).
fof(f23993,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = multiply(inverse(X2),multiply(multiply(inverse(inverse(multiply(X2,X0))),inverse(X0)),inverse(X1))),
inference(forward_demodulation,[],[f23681,f23676]) ).
fof(f23676,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),multiply(X2,inverse(X1))),
inference(superposition,[],[f23385,f74]) ).
fof(f23681,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X1))),
inference(superposition,[],[f23385,f263]) ).
fof(f23848,plain,
! [X0,X1] : inverse(X1) = multiply(multiply(inverse(X0),multiply(multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)),inverse(X1))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f4,f23385]) ).
fof(f25522,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))) = inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f25123,f98]) ).
fof(f25123,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(inverse(X1),X1)),
inference(superposition,[],[f23999,f13085]) ).
fof(f13085,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f12854,f5796]) ).
fof(f5796,plain,
! [X3,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f5426,f1]) ).
fof(f12854,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(X1),X1),
inference(superposition,[],[f6059,f1217]) ).
fof(f1217,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0)),
inference(superposition,[],[f669,f988]) ).
fof(f988,plain,
! [X2,X3] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[],[f946,f946]) ).
fof(f6059,plain,
! [X3,X4] : inverse(inverse(multiply(inverse(X4),X4))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4))),
inference(forward_demodulation,[],[f6058,f4349]) ).
fof(f6058,plain,
! [X3,X0,X4] : inverse(inverse(multiply(inverse(X4),X4))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X0),X0)),X4)))),multiply(X3,inverse(X4))),
inference(forward_demodulation,[],[f5851,f1755]) ).
fof(f5851,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X0),X0)),X4)))),multiply(X3,inverse(X4))) = multiply(multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X2)))))),multiply(X5,inverse(inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4))))),
inference(superposition,[],[f3,f5426]) ).
fof(f28420,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(multiply(X0,inverse(X2)),multiply(X2,X1)),
inference(forward_demodulation,[],[f28419,f28029]) ).
fof(f28029,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f28028,f27158]) ).
fof(f27158,plain,
! [X2,X3] : multiply(inverse(multiply(X2,inverse(X3))),X2) = X3,
inference(forward_demodulation,[],[f27157,f26224]) ).
fof(f27157,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(inverse(multiply(X2,inverse(X3))),X2),
inference(forward_demodulation,[],[f27156,f26714]) ).
fof(f26714,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f25123,f26224]) ).
fof(f27156,plain,
! [X2,X3,X1] : inverse(inverse(X3)) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f27155,f25123]) ).
fof(f27155,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X1),X1))) = multiply(inverse(inverse(X3)),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f27154,f26710]) ).
fof(f26710,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f23645,f26224]) ).
fof(f23645,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(superposition,[],[f23385,f13085]) ).
fof(f27154,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X1),X1))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(X3))),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f26979,f26224]) ).
fof(f26979,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(X3))),inverse(inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f120,f26710]) ).
fof(f120,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[],[f100,f1]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X4,inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),inverse(multiply(inverse(X2),X2)))))),multiply(X4,inverse(inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f75,f3]) ).
fof(f28028,plain,
! [X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),X3),inverse(X0)),
inference(forward_demodulation,[],[f28027,f26714]) ).
fof(f28027,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,multiply(inverse(X2),X2))),inverse(X0)),
inference(forward_demodulation,[],[f28026,f26714]) ).
fof(f28026,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,multiply(inverse(X2),X2))),inverse(multiply(X0,multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f27787,f26224]) ).
fof(f27787,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f27066,f120]) ).
fof(f27066,plain,
! [X2,X1] : multiply(multiply(X2,X1),inverse(X1)) = X2,
inference(forward_demodulation,[],[f27065,f26224]) ).
fof(f27065,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = X2,
inference(forward_demodulation,[],[f27064,f25882]) ).
fof(f25882,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f25881,f25262]) ).
fof(f25262,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(X0),inverse(inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f25071,f23966]) ).
fof(f25071,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f23999,f1924]) ).
fof(f1924,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1797,f669]) ).
fof(f1797,plain,
! [X2,X3,X1] : multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f801,f75]) ).
fof(f25881,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f25880,f25849]) ).
fof(f25849,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(inverse(X1)),inverse(X0)),
inference(forward_demodulation,[],[f25531,f23685]) ).
fof(f23685,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X1))),
inference(superposition,[],[f23385,f204]) ).
fof(f25531,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X0))),
inference(superposition,[],[f25123,f204]) ).
fof(f25880,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f25587,f25066]) ).
fof(f25587,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f79,f25123]) ).
fof(f27064,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f27063,f25262]) ).
fof(f27063,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(inverse(X2)),inverse(inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f27062,f23685]) ).
fof(f27062,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f27061,f23966]) ).
fof(f27061,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[],[f27060,f25849]) ).
fof(f27060,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[],[f26921,f26710]) ).
fof(f26921,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X2,X1)))),inverse(X1)),
inference(superposition,[],[f3,f26710]) ).
fof(f28419,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,X1)),
inference(forward_demodulation,[],[f28418,f26224]) ).
fof(f28418,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f28417,f27862]) ).
fof(f27862,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f27066,f26224]) ).
fof(f28417,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X1,inverse(X1)))),multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f28416,f23685]) ).
fof(f28416,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(X1,inverse(X1))))),multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f28415,f25842]) ).
fof(f28415,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(X1,inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f28414,f28029]) ).
fof(f28414,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))),
inference(forward_demodulation,[],[f28413,f25842]) ).
fof(f28413,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),inverse(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),
inference(forward_demodulation,[],[f28412,f23645]) ).
fof(f28412,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1))))))),
inference(forward_demodulation,[],[f27958,f28029]) ).
fof(f27958,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),
inference(superposition,[],[f3,f27066]) ).
fof(f39662,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(multiply(X3,inverse(X2)),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f39661,f28029]) ).
fof(f39661,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f39660,f26224]) ).
fof(f39660,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(X0,inverse(inverse(X1))))),
inference(forward_demodulation,[],[f39659,f28911]) ).
fof(f28911,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(X2,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f28910,f28343]) ).
fof(f28343,plain,
! [X2,X3,X1,X4] : multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))) = multiply(X4,multiply(X2,inverse(X1))),
inference(forward_demodulation,[],[f28342,f28273]) ).
fof(f28273,plain,
! [X3,X1,X4] : multiply(multiply(X1,X4),inverse(X3)) = multiply(X1,multiply(X4,inverse(X3))),
inference(forward_demodulation,[],[f28272,f28029]) ).
fof(f28272,plain,
! [X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(multiply(X1,X4),inverse(X3)),
inference(forward_demodulation,[],[f28271,f28267]) ).
fof(f28267,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),inverse(X2)) = multiply(multiply(X1,inverse(X4)),multiply(multiply(X4,X3),inverse(X2))),
inference(forward_demodulation,[],[f28266,f28029]) ).
fof(f28266,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),inverse(X2)) = multiply(inverse(multiply(X4,inverse(X1))),multiply(multiply(X4,X3),inverse(X2))),
inference(forward_demodulation,[],[f28265,f28029]) ).
fof(f28265,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),inverse(X2)) = multiply(inverse(multiply(X4,inverse(X1))),inverse(multiply(X2,inverse(multiply(X4,X3))))),
inference(forward_demodulation,[],[f28264,f27998]) ).
fof(f27998,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(X1,inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f27997,f27066]) ).
fof(f27997,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f27996,f26224]) ).
fof(f27996,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(multiply(inverse(inverse(multiply(X1,X2))),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f27774,f23676]) ).
fof(f27774,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),inverse(multiply(X0,inverse(X2)))),
inference(superposition,[],[f27066,f74]) ).
fof(f28264,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = multiply(multiply(X1,X3),inverse(X2)),
inference(forward_demodulation,[],[f28263,f28029]) ).
fof(f28263,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = inverse(multiply(X2,inverse(multiply(X1,X3)))),
inference(forward_demodulation,[],[f28262,f27998]) ).
fof(f28262,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = multiply(X1,inverse(multiply(X2,inverse(X3)))),
inference(forward_demodulation,[],[f27910,f28211]) ).
fof(f28211,plain,
! [X2,X0,X1] : multiply(X2,inverse(X0)) = multiply(inverse(X1),multiply(multiply(X1,X2),inverse(X0))),
inference(forward_demodulation,[],[f28210,f28029]) ).
fof(f28210,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(X2))) = multiply(inverse(X1),multiply(multiply(X1,X2),inverse(X0))),
inference(forward_demodulation,[],[f28209,f24003]) ).
fof(f24003,plain,
! [X2,X3,X1] : inverse(X3) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X3))),
inference(forward_demodulation,[],[f23854,f23994]) ).
fof(f23854,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X3))) = multiply(inverse(X0),multiply(multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)),inverse(X3))),
inference(superposition,[],[f263,f23385]) ).
fof(f28209,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(X1),multiply(multiply(X1,X2),inverse(X0))),
inference(forward_demodulation,[],[f27880,f28029]) ).
fof(f27880,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(X1,X2))))),
inference(superposition,[],[f263,f27066]) ).
fof(f27910,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(X0),multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X3))))),
inference(superposition,[],[f143,f27066]) ).
fof(f28271,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(multiply(X1,inverse(X2)),multiply(multiply(X2,X4),inverse(X3))),
inference(forward_demodulation,[],[f28270,f28029]) ).
fof(f28270,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(multiply(X2,X4),inverse(X3))),
inference(forward_demodulation,[],[f28269,f28029]) ).
fof(f28269,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X1))),inverse(multiply(X3,inverse(multiply(X2,X4))))),
inference(forward_demodulation,[],[f28268,f27998]) ).
fof(f28268,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,inverse(X4))))),
inference(forward_demodulation,[],[f27911,f28211]) ).
fof(f27911,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(X0),multiply(multiply(X0,X1),inverse(multiply(X3,inverse(X4))))),
inference(superposition,[],[f143,f27066]) ).
fof(f28342,plain,
! [X2,X3,X1,X4] : multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))) = multiply(multiply(X4,X2),inverse(X1)),
inference(forward_demodulation,[],[f28341,f28029]) ).
fof(f28341,plain,
! [X2,X3,X1,X4] : inverse(multiply(X1,inverse(multiply(X4,X2)))) = multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f28340,f27998]) ).
fof(f28340,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f28339,f28029]) ).
fof(f28339,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f28338,f28273]) ).
fof(f28338,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(multiply(X3,X2),inverse(X1))),
inference(forward_demodulation,[],[f28337,f28029]) ).
fof(f28337,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),inverse(multiply(X1,inverse(multiply(X3,X2))))),
inference(forward_demodulation,[],[f28336,f27998]) ).
fof(f28336,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X1,inverse(X2))))),
inference(forward_demodulation,[],[f28335,f28276]) ).
fof(f28276,plain,
! [X2,X0,X1] : multiply(X2,inverse(X1)) = multiply(multiply(X2,inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f28275,f26224]) ).
fof(f28275,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),inverse(X1)) = multiply(multiply(X2,inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f28274,f23685]) ).
fof(f28274,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(X1))) = multiply(multiply(X2,inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f27912,f28029]) ).
fof(f27912,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(multiply(X0,X1),inverse(X2))),X0),
inference(superposition,[],[f204,f27066]) ).
fof(f28335,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X1,inverse(X2))))) = multiply(multiply(X4,inverse(multiply(X0,multiply(X1,inverse(X2))))),X0),
inference(forward_demodulation,[],[f27933,f28029]) ).
fof(f27933,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X1,inverse(X2))))) = multiply(inverse(multiply(multiply(X0,multiply(X1,inverse(X2))),inverse(X4))),X0),
inference(superposition,[],[f143,f27066]) ).
fof(f28910,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(multiply(X2,inverse(X3)),multiply(X3,multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f28909,f28029]) ).
fof(f28909,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f28908,f28273]) ).
fof(f28908,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(multiply(X3,X1),inverse(X0))),
inference(forward_demodulation,[],[f28907,f28029]) ).
fof(f28907,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(X0,inverse(multiply(X3,X1))))),
inference(forward_demodulation,[],[f28906,f27998]) ).
fof(f28906,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,inverse(X1))))),
inference(forward_demodulation,[],[f28905,f27998]) ).
fof(f28905,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,inverse(X1))))) = multiply(X2,inverse(multiply(X0,inverse(X1)))),
inference(forward_demodulation,[],[f28547,f28029]) ).
fof(f28547,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,inverse(X1))))) = inverse(multiply(multiply(X0,inverse(X1)),inverse(X2))),
inference(superposition,[],[f27223,f143]) ).
fof(f27223,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f26714,f26224]) ).
fof(f39659,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),inverse(multiply(inverse(X1),inverse(multiply(X2,X0))))),
inference(forward_demodulation,[],[f39658,f27998]) ).
fof(f39658,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X1),inverse(X0))))),
inference(forward_demodulation,[],[f39657,f26224]) ).
fof(f39657,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X1),inverse(X0))))) = multiply(multiply(X3,inverse(inverse(X0))),X1),
inference(forward_demodulation,[],[f39253,f28029]) ).
fof(f39253,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X1),inverse(X0))))) = multiply(inverse(multiply(inverse(X0),inverse(X3))),X1),
inference(superposition,[],[f143,f30642]) ).
fof(f30642,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f27066,f30103]) ).
fof(f30103,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f28381,f26224]) ).
fof(f28381,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f28380,f27523]) ).
fof(f27523,plain,
! [X2,X3] : multiply(X3,inverse(multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[],[f27522,f23385]) ).
fof(f27522,plain,
! [X2,X3,X1] : multiply(X3,inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))) = X3,
inference(forward_demodulation,[],[f27176,f25123]) ).
fof(f27176,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))),multiply(inverse(X0),X0))) = X3,
inference(superposition,[],[f26714,f1116]) ).
fof(f1116,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))),
inference(superposition,[],[f988,f988]) ).
fof(f28380,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X2))))) = X1,
inference(forward_demodulation,[],[f28379,f27066]) ).
fof(f28379,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,multiply(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2),inverse(X2)))) = X1,
inference(forward_demodulation,[],[f27949,f28273]) ).
fof(f27949,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(multiply(X0,multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)),inverse(X2))) = X1,
inference(superposition,[],[f75,f27066]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP411-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:25:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (23582)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23586)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23584)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23587)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23586)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 theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (23588)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 theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (23585)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23590)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 theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (23589)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 theBenchmark for (522ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.41 TRYING [4]
% 0.22/0.52 TRYING [4]
% 7.10/1.42 % (23590)First to succeed.
% 7.10/1.42 % (23590)Refutation found. Thanks to Tanya!
% 7.10/1.42 % SZS status Unsatisfiable for theBenchmark
% 7.10/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 7.10/1.42 % (23590)------------------------------
% 7.10/1.42 % (23590)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.10/1.42 % (23590)Termination reason: Refutation
% 7.10/1.42
% 7.10/1.42 % (23590)Memory used [KB]: 17771
% 7.10/1.42 % (23590)Time elapsed: 1.038 s
% 7.10/1.42 % (23590)Instructions burned: 3635 (million)
% 7.10/1.42 % (23590)------------------------------
% 7.10/1.42 % (23590)------------------------------
% 7.10/1.42 % (23582)Success in time 1.017 s
%------------------------------------------------------------------------------