TSTP Solution File: GRP413-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP413-1 : 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 : n002.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 : Sun May 5 06:08:32 EDT 2024
% Result : Unsatisfiable 7.19s 1.45s
% Output : Refutation 7.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 280 ( 280 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40922,plain,
$false,
inference(subsumption_resolution,[],[f40921,f12020]) ).
fof(f12020,plain,
! [X3,X5] : multiply(inverse(multiply(inverse(X3),X3)),X5) = X5,
inference(forward_demodulation,[],[f12019,f8836]) ).
fof(f8836,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X2)),
inference(superposition,[],[f8690,f7420]) ).
fof(f7420,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f7238,f4766]) ).
fof(f4766,plain,
! [X2,X1,X4] : multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X4))),multiply(multiply(inverse(X1),X1),inverse(X2))))),X4) = X2,
inference(forward_demodulation,[],[f4527,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f4527,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3))) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X4))),multiply(multiply(inverse(X1),X1),inverse(X2))))),X4),
inference(superposition,[],[f38,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),X3))),X2)) = multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X3)),X1))),
inference(superposition,[],[f1,f1]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1) = multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(multiply(X2,X0)))),
inference(superposition,[],[f24,f1]) ).
fof(f24,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f7238,plain,
! [X2,X3,X0] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X3,X0)),multiply(X3,X0)),
inference(superposition,[],[f167,f4766]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X0)),multiply(X4,X3)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X3)),
inference(superposition,[],[f115,f54]) ).
fof(f54,plain,
! [X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,X5)))),X4)) = X5,
inference(superposition,[],[f22,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),multiply(inverse(multiply(X0,inverse(X1))),X2)))),X3)) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f115,plain,
! [X3,X6,X4,X5] : multiply(inverse(multiply(X4,X3)),multiply(X4,X5)) = multiply(inverse(multiply(X6,X3)),multiply(X6,X5)),
inference(superposition,[],[f87,f22]) ).
fof(f87,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)) = multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,X2)),
inference(superposition,[],[f24,f54]) ).
fof(f8690,plain,
! [X2,X3,X4] : multiply(inverse(X2),X3) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(forward_demodulation,[],[f8689,f8457]) ).
fof(f8457,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X0) = X0,
inference(superposition,[],[f7727,f7420]) ).
fof(f7727,plain,
! [X2,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1) = X1,
inference(superposition,[],[f4766,f7238]) ).
fof(f8689,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) = multiply(inverse(X2),multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(X1),X1))),X3)),
inference(forward_demodulation,[],[f8563,f8688]) ).
fof(f8688,plain,
! [X2,X0] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X0)) = X2,
inference(forward_demodulation,[],[f8558,f8457]) ).
fof(f8558,plain,
! [X2,X0,X1] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(X1),X1))),X2)))),X0)) = X2,
inference(superposition,[],[f54,f7727]) ).
fof(f8563,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(X1),X1))),X3)) = multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X0)))),multiply(X4,X3)),
inference(superposition,[],[f101,f7727]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X0,X3)) = multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))),multiply(X4,X3)),
inference(superposition,[],[f87,f1]) ).
fof(f12019,plain,
! [X2,X3,X5] : multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),X5) = X5,
inference(forward_demodulation,[],[f12018,f8718]) ).
fof(f8718,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X3,X1))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),multiply(X3,X1)))) = X2,
inference(forward_demodulation,[],[f8717,f8457]) ).
fof(f8717,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),multiply(X3,X1)))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),multiply(X3,X1)))),inverse(multiply(inverse(X4),X4))),inverse(multiply(X3,X1)))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),multiply(X3,X1)))) = X2,
inference(forward_demodulation,[],[f8581,f8690]) ).
fof(f8581,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2)),multiply(X3,X1)))),inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2)),multiply(X3,X1)))),inverse(multiply(inverse(X4),X4))),inverse(multiply(X3,X1)))),inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2)),multiply(X3,X1)))) = X2,
inference(superposition,[],[f209,f7727]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)),inverse(X4)),multiply(X0,X1))))) = X4,
inference(superposition,[],[f24,f115]) ).
fof(f12018,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X5)),multiply(X0,X1))))) = X5,
inference(forward_demodulation,[],[f11485,f8690]) ).
fof(f11485,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(multiply(multiply(inverse(multiply(X4,X1)),multiply(X4,X1)),inverse(X5)),multiply(X0,X1))))) = X5,
inference(superposition,[],[f209,f10382]) ).
fof(f10382,plain,
! [X2,X3,X0] : multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f10106,f8690]) ).
fof(f10106,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2))),multiply(inverse(X0),X0)),
inference(superposition,[],[f7238,f7700]) ).
fof(f7700,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X1))),
inference(superposition,[],[f5204,f7238]) ).
fof(f5204,plain,
! [X3,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X5))) = inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),
inference(superposition,[],[f5038,f22]) ).
fof(f5038,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2))) = inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,X2))),
inference(superposition,[],[f4547,f54]) ).
fof(f4547,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))) = X2,
inference(superposition,[],[f54,f38]) ).
fof(f40921,plain,
! [X3] : a2 != multiply(inverse(multiply(inverse(X3),X3)),a2),
inference(forward_demodulation,[],[f40920,f11899]) ).
fof(f11899,plain,
! [X2,X0,X4] : multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X0)),inverse(multiply(X4,X0))))) = X4,
inference(forward_demodulation,[],[f11898,f8836]) ).
fof(f11898,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(X0)),inverse(multiply(X4,X0))))) = X4,
inference(forward_demodulation,[],[f11363,f8690]) ).
fof(f11363,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(multiply(X4,X0)))))) = X4,
inference(superposition,[],[f4546,f10382]) ).
fof(f4546,plain,
! [X2,X3,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[],[f1,f38]) ).
fof(f40920,plain,
! [X3,X0,X1] : a2 != multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X3),X3)),X0))))),a2),
inference(forward_demodulation,[],[f40736,f13331]) ).
fof(f13331,plain,
! [X2,X3,X0] : inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,X0)))) = multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X3),X3))),X2),
inference(forward_demodulation,[],[f12969,f8690]) ).
fof(f12969,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0))))) = multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X3),X3))),X2),
inference(superposition,[],[f12167,f4546]) ).
fof(f12167,plain,
! [X3,X1,X4] : multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X3)) = X3,
inference(forward_demodulation,[],[f12166,f12020]) ).
fof(f12166,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X3)),
inference(forward_demodulation,[],[f11680,f12020]) ).
fof(f11680,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X0),X0)),X3)) = multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X3)),
inference(superposition,[],[f115,f10382]) ).
fof(f40736,plain,
! [X2,X3,X0,X1] : a2 != multiply(multiply(multiply(inverse(X1),X1),multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(inverse(X2)),inverse(X2)))),inverse(multiply(inverse(X3),X3)))),a2),
inference(superposition,[],[f40600,f15691]) ).
fof(f15691,plain,
! [X3,X0,X1] : multiply(X0,multiply(inverse(inverse(X1)),inverse(X1))) = multiply(X0,multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f15453,f8836]) ).
fof(f15453,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(inverse(X1)),inverse(X1))) = multiply(X0,multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),
inference(superposition,[],[f12159,f10382]) ).
fof(f12159,plain,
! [X2,X1,X4] : multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(inverse(X1)),inverse(X1)))),X4)) = X4,
inference(forward_demodulation,[],[f12158,f12020]) ).
fof(f12158,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),X4) = multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(inverse(X1)),inverse(X1)))),X4)),
inference(forward_demodulation,[],[f12157,f12020]) ).
fof(f12157,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(inverse(X0),X0)),X4)) = multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(inverse(X1)),inverse(X1)))),X4)),
inference(forward_demodulation,[],[f11672,f8721]) ).
fof(f8721,plain,
! [X0,X1,X4] : multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0))),X4) = multiply(X1,multiply(inverse(inverse(X0)),X4)),
inference(forward_demodulation,[],[f8720,f8457]) ).
fof(f8720,plain,
! [X2,X0,X1,X4] : multiply(X1,multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0))),inverse(multiply(inverse(X2),X2))),inverse(X0))),X4)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0))),X4),
inference(forward_demodulation,[],[f8583,f8690]) ).
fof(f8583,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0))),inverse(multiply(inverse(X2),X2))),inverse(X0))),X4)) = multiply(inverse(multiply(X3,inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X0)))),multiply(X3,X4)),
inference(superposition,[],[f2659,f7727]) ).
fof(f2659,plain,
! [X3,X6,X7,X4,X5] : multiply(inverse(multiply(X4,multiply(X5,inverse(multiply(multiply(multiply(inverse(X6),X6),X3),X6))))),multiply(X4,X7)) = multiply(X3,multiply(inverse(multiply(X5,inverse(X6))),X7)),
inference(superposition,[],[f160,f22]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))))),multiply(X4,X3)) = multiply(inverse(X2),multiply(inverse(multiply(X0,inverse(X1))),X3)),
inference(superposition,[],[f115,f24]) ).
fof(f11672,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(inverse(X0),X0)),X4)) = multiply(X2,multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))),inverse(X1))),X4)),
inference(superposition,[],[f2659,f10382]) ).
fof(f40600,plain,
! [X2,X0,X1] : a2 != multiply(multiply(X1,multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),inverse(multiply(inverse(X2),X2)))),a2),
inference(forward_demodulation,[],[f40599,f8690]) ).
fof(f40599,plain,
! [X2,X3,X0,X1] : a2 != multiply(multiply(X1,multiply(inverse(multiply(X3,multiply(multiply(inverse(X0),X0),X1))),multiply(X3,inverse(multiply(inverse(X2),X2))))),a2),
inference(forward_demodulation,[],[f40598,f24874]) ).
fof(f24874,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X3,inverse(X0))),X4)),multiply(inverse(inverse(X1)),inverse(multiply(X2,X1)))) = multiply(inverse(X4),multiply(X3,inverse(multiply(X2,X0)))),
inference(forward_demodulation,[],[f24571,f8690]) ).
fof(f24571,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,inverse(multiply(X2,X0))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X0))),X4)),multiply(inverse(inverse(X1)),inverse(multiply(X2,X1)))),
inference(superposition,[],[f170,f11899]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),X3)),X2) = multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))))),
inference(superposition,[],[f115,f24]) ).
fof(f40598,plain,
! [X2,X3,X0,X1,X4] : a2 != multiply(multiply(X1,multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(multiply(inverse(X0),X0),X1)))),multiply(inverse(inverse(X4)),inverse(multiply(inverse(X2),X4))))),a2),
inference(forward_demodulation,[],[f40597,f8690]) ).
fof(f40597,plain,
! [X2,X3,X0,X1,X4,X5] : a2 != multiply(multiply(X1,multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(multiply(inverse(X0),X0),X1)))),multiply(inverse(inverse(X4)),inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4)))))),a2),
inference(forward_demodulation,[],[f40413,f28104]) ).
fof(f28104,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(inverse(inverse(X0)),X3)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X0))),X3),
inference(superposition,[],[f8690,f11901]) ).
fof(f11901,plain,
! [X2,X0,X4] : inverse(multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X2),X2),X4),X0)))) = X4,
inference(forward_demodulation,[],[f11900,f8836]) ).
fof(f11900,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),X4),X0)))) = X4,
inference(forward_demodulation,[],[f11364,f8690]) ).
fof(f11364,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),X4),X0))))) = X4,
inference(superposition,[],[f4547,f10382]) ).
fof(f40413,plain,
! [X2,X3,X0,X1,X4,X5] : a2 != multiply(multiply(X1,multiply(inverse(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(multiply(inverse(X0),X0),X1))))),X4))),inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))))),a2),
inference(superposition,[],[f28155,f167]) ).
fof(f28155,plain,
! [X2,X0,X1] : a2 != multiply(multiply(X2,multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X0)))),a2),
inference(superposition,[],[f8050,f11901]) ).
fof(f8050,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f2,f7420]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Fri May 3 20:45:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 % (12847)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (12852)WARNING: value z3 for option sas not known
% 0.21/0.38 % (12850)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (12851)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (12853)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (12852)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)
% 0.21/0.38 % (12854)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)
% 0.21/0.38 % (12855)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)
% 0.21/0.38 % (12856)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.51 TRYING [4]
% 7.19/1.44 % (12856)First to succeed.
% 7.19/1.44 % (12856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12847"
% 7.19/1.45 % (12856)Refutation found. Thanks to Tanya!
% 7.19/1.45 % SZS status Unsatisfiable for theBenchmark
% 7.19/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 7.19/1.45 % (12856)------------------------------
% 7.19/1.45 % (12856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.19/1.45 % (12856)Termination reason: Refutation
% 7.19/1.45
% 7.19/1.45 % (12856)Memory used [KB]: 17830
% 7.19/1.45 % (12856)Time elapsed: 1.068 s
% 7.19/1.45 % (12856)Instructions burned: 3396 (million)
% 7.19/1.45 % (12847)Success in time 1.064 s
%------------------------------------------------------------------------------