TSTP Solution File: GRP203-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP203-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 11:52:10 EDT 2024
% Result : Unsatisfiable 38.52s 5.82s
% Output : Refutation 38.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 4
% Syntax : Number of formulae : 94 ( 94 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 184 ( 184 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f295800,plain,
$false,
inference(trivial_inequality_removal,[],[f295799]) ).
fof(f295799,plain,
multiply(a,multiply(b,multiply(c,b))) != multiply(a,multiply(b,multiply(c,b))),
inference(superposition,[],[f4,f294519]) ).
fof(f294519,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,X1))) = multiply(multiply(multiply(X0,X1),X2),X1),
inference(forward_demodulation,[],[f292669,f7988]) ).
fof(f7988,plain,
! [X0] : left_inverse(left_inverse(X0)) = X0,
inference(superposition,[],[f7813,f7471]) ).
fof(f7471,plain,
! [X0] : left_inverse(X0) = multiply(left_inverse(X0),identity),
inference(forward_demodulation,[],[f7427,f7425]) ).
fof(f7425,plain,
! [X0] : left_inverse(X0) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),identity))),
inference(superposition,[],[f7411,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(left_inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f7411,plain,
! [X0,X1] : multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)))) = X1,
inference(forward_demodulation,[],[f7410,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f7410,plain,
! [X0,X1] : multiply(identity,X1) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)))),
inference(forward_demodulation,[],[f7375,f24]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(multiply(X0,X0),X1),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,multiply(identity,multiply(X0,X1))) = multiply(multiply(X0,X0),X1),
inference(superposition,[],[f3,f10]) ).
fof(f10,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,identity),X1),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(multiply(X0,identity),X1),
inference(forward_demodulation,[],[f5,f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(identity,multiply(X0,multiply(identity,X1))) = multiply(multiply(X0,identity),X1),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X0),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang3) ).
fof(f7375,plain,
! [X0,X1] : multiply(identity,X1) = multiply(left_inverse(left_inverse(X0)),multiply(multiply(left_inverse(X0),left_inverse(X0)),multiply(left_inverse(left_inverse(X0)),X1))),
inference(superposition,[],[f3,f6859]) ).
fof(f6859,plain,
! [X0] : identity = multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0))),
inference(superposition,[],[f6777,f2]) ).
fof(f6777,plain,
! [X0,X1] : multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),X1) = X1,
inference(forward_demodulation,[],[f6710,f1]) ).
fof(f6710,plain,
! [X0,X1] : multiply(identity,X1) = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),X1),
inference(superposition,[],[f10,f6576]) ).
fof(f6576,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),identity),
inference(forward_demodulation,[],[f6326,f154]) ).
fof(f154,plain,
! [X0] : identity = multiply(left_inverse(X0),multiply(X0,identity)),
inference(superposition,[],[f11,f2]) ).
fof(f11,plain,
! [X0,X1] : multiply(left_inverse(X0),X1) = multiply(left_inverse(X0),multiply(X0,multiply(left_inverse(X0),X1))),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f6,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,multiply(left_inverse(X0),X1))) = multiply(multiply(identity,left_inverse(X0)),X1),
inference(superposition,[],[f3,f2]) ).
fof(f6326,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),identity))),
inference(superposition,[],[f410,f1039]) ).
fof(f1039,plain,
! [X0] : identity = multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),identity)),
inference(superposition,[],[f946,f2]) ).
fof(f946,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(left_inverse(X0),multiply(X0,X1))),
inference(forward_demodulation,[],[f861,f10]) ).
fof(f861,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = multiply(X0,multiply(left_inverse(X0),multiply(X0,X1))),
inference(superposition,[],[f21,f154]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(X0,multiply(X1,multiply(X0,identity))),X2),
inference(forward_demodulation,[],[f15,f3]) ).
fof(f15,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X0),X2) = multiply(multiply(X0,multiply(X1,multiply(X0,identity))),X2),
inference(superposition,[],[f10,f3]) ).
fof(f410,plain,
! [X0,X1] : identity = multiply(left_inverse(multiply(multiply(X1,multiply(X0,X0)),X1)),multiply(X1,multiply(X0,multiply(X0,multiply(X1,identity))))),
inference(superposition,[],[f186,f24]) ).
fof(f186,plain,
! [X0,X1] : identity = multiply(left_inverse(multiply(multiply(X0,X1),X0)),multiply(X0,multiply(X1,multiply(X0,identity)))),
inference(superposition,[],[f154,f3]) ).
fof(f7427,plain,
! [X0] : multiply(left_inverse(X0),identity) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),identity))),
inference(superposition,[],[f7411,f154]) ).
fof(f7813,plain,
! [X0] : multiply(left_inverse(left_inverse(X0)),identity) = X0,
inference(superposition,[],[f7452,f2]) ).
fof(f7452,plain,
! [X0,X1] : multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),X1)) = X1,
inference(superposition,[],[f11,f7411]) ).
fof(f292669,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),X1) = multiply(left_inverse(left_inverse(X0)),multiply(X1,multiply(X2,X1))),
inference(superposition,[],[f7452,f258072]) ).
fof(f258072,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X1)) = multiply(left_inverse(X0),multiply(multiply(multiply(X0,X1),X2),X1)),
inference(forward_demodulation,[],[f258071,f8190]) ).
fof(f8190,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f8143,f7887]) ).
fof(f7887,plain,
! [X0,X1] : multiply(X0,multiply(left_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f7819,f7452]) ).
fof(f7819,plain,
! [X0,X1] : multiply(X0,multiply(left_inverse(X0),X1)) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),X1)),
inference(superposition,[],[f7452,f11]) ).
fof(f8143,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,multiply(X0,multiply(left_inverse(X0),X1)))) = X1,
inference(superposition,[],[f7411,f7988]) ).
fof(f258071,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(X0),multiply(X0,X1)),multiply(X2,multiply(left_inverse(X0),multiply(X0,X1)))) = multiply(left_inverse(X0),multiply(multiply(multiply(X0,X1),X2),X1)),
inference(forward_demodulation,[],[f258070,f10]) ).
fof(f258070,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)),multiply(X2,multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)))) = multiply(left_inverse(X0),multiply(multiply(multiply(multiply(X0,identity),X1),X2),X1)),
inference(forward_demodulation,[],[f258069,f8190]) ).
fof(f258069,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)),multiply(X2,multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)))) = multiply(left_inverse(X0),multiply(multiply(multiply(multiply(X0,identity),X1),X2),multiply(left_inverse(X0),multiply(X0,X1)))),
inference(forward_demodulation,[],[f258068,f8048]) ).
fof(f8048,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(X0,multiply(X1,X0)),X2),
inference(forward_demodulation,[],[f7998,f7988]) ).
fof(f7998,plain,
! [X2,X0,X1] : multiply(left_inverse(left_inverse(X0)),multiply(X1,multiply(left_inverse(left_inverse(X0)),X2))) = multiply(multiply(left_inverse(left_inverse(X0)),multiply(X1,X0)),X2),
inference(superposition,[],[f21,f7813]) ).
fof(f258068,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)),multiply(X2,multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)))) = multiply(multiply(left_inverse(X0),multiply(multiply(multiply(multiply(X0,identity),X1),X2),left_inverse(X0))),multiply(X0,X1)),
inference(forward_demodulation,[],[f258067,f256647]) ).
fof(f256647,plain,
! [X2,X0,X1] : multiply(X2,multiply(multiply(X0,X1),X2)) = multiply(multiply(X2,X0),multiply(X1,X2)),
inference(superposition,[],[f210759,f15932]) ).
fof(f15932,plain,
! [X0,X1] : multiply(multiply(X1,X0),left_inverse(X0)) = X1,
inference(superposition,[],[f15773,f7988]) ).
fof(f15773,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f15772,f7988]) ).
fof(f15772,plain,
! [X0,X1] : left_inverse(left_inverse(X1)) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(forward_demodulation,[],[f15771,f7888]) ).
fof(f7888,plain,
! [X0] : multiply(X0,identity) = left_inverse(left_inverse(X0)),
inference(forward_demodulation,[],[f7820,f7471]) ).
fof(f7820,plain,
! [X0] : multiply(X0,identity) = multiply(left_inverse(left_inverse(X0)),identity),
inference(superposition,[],[f7452,f154]) ).
fof(f15771,plain,
! [X0,X1] : multiply(X1,identity) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(forward_demodulation,[],[f15770,f2]) ).
fof(f15770,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = multiply(X1,multiply(left_inverse(X0),X0)),
inference(forward_demodulation,[],[f15769,f7471]) ).
fof(f15769,plain,
! [X0,X1] : multiply(X1,multiply(left_inverse(X0),X0)) = multiply(multiply(X1,multiply(left_inverse(X0),identity)),X0),
inference(forward_demodulation,[],[f15568,f7887]) ).
fof(f15568,plain,
! [X0,X1] : multiply(multiply(X1,multiply(left_inverse(X0),identity)),X0) = multiply(X0,multiply(left_inverse(X0),multiply(X1,multiply(left_inverse(X0),X0)))),
inference(superposition,[],[f12972,f21]) ).
fof(f12972,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,multiply(multiply(left_inverse(X0),X1),X0)),
inference(superposition,[],[f8303,f7887]) ).
fof(f8303,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f8302,f7988]) ).
fof(f8302,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,left_inverse(left_inverse(X0)))),
inference(forward_demodulation,[],[f8201,f7888]) ).
fof(f8201,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,multiply(X0,identity))),
inference(superposition,[],[f8103,f3]) ).
fof(f8103,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f8102,f8056]) ).
fof(f8056,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(X0,left_inverse(X0)),X0)),X0),
inference(forward_demodulation,[],[f8007,f7988]) ).
fof(f8007,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),left_inverse(left_inverse(left_inverse(X0)))),left_inverse(left_inverse(X0)))),X0),
inference(superposition,[],[f405,f7813]) ).
fof(f405,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(X0,left_inverse(X0)),X0)),multiply(X0,identity)),
inference(superposition,[],[f186,f154]) ).
fof(f8102,plain,
! [X0] : multiply(X0,multiply(left_inverse(multiply(multiply(X0,left_inverse(X0)),X0)),X0)) = X0,
inference(forward_demodulation,[],[f8032,f7988]) ).
fof(f8032,plain,
! [X0] : multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),left_inverse(left_inverse(left_inverse(X0)))),left_inverse(left_inverse(X0)))),X0)) = X0,
inference(superposition,[],[f947,f7813]) ).
fof(f947,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(left_inverse(multiply(multiply(X0,left_inverse(X0)),X0)),multiply(X0,X1))),
inference(forward_demodulation,[],[f862,f10]) ).
fof(f862,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = multiply(X0,multiply(left_inverse(multiply(multiply(X0,left_inverse(X0)),X0)),multiply(X0,X1))),
inference(superposition,[],[f21,f405]) ).
fof(f210759,plain,
! [X2,X0,X1] : multiply(X0,multiply(X2,X0)) = multiply(multiply(X0,multiply(X2,left_inverse(X1))),multiply(X1,X0)),
inference(superposition,[],[f16062,f16290]) ).
fof(f16290,plain,
! [X0,X1] : left_inverse(X0) = multiply(X1,left_inverse(multiply(X0,X1))),
inference(superposition,[],[f15932,f8190]) ).
fof(f16062,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(multiply(X0,multiply(X1,multiply(X0,left_inverse(X2)))),X2),
inference(forward_demodulation,[],[f15956,f8303]) ).
fof(f15956,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X0) = multiply(multiply(X0,multiply(X1,multiply(X0,left_inverse(X2)))),X2),
inference(superposition,[],[f15773,f3]) ).
fof(f258067,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)),multiply(X2,multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)))) = multiply(multiply(multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)),multiply(X2,left_inverse(X0))),multiply(X0,X1)),
inference(forward_demodulation,[],[f258066,f175068]) ).
fof(f175068,plain,
! [X2,X0,X1] : multiply(multiply(X2,left_inverse(X0)),multiply(X0,X1)) = multiply(left_inverse(X0),multiply(multiply(X0,X2),X1)),
inference(forward_demodulation,[],[f174094,f7988]) ).
fof(f174094,plain,
! [X2,X0,X1] : multiply(multiply(X2,left_inverse(X0)),multiply(X0,X1)) = multiply(left_inverse(X0),multiply(multiply(left_inverse(left_inverse(X0)),X2),X1)),
inference(superposition,[],[f9053,f8190]) ).
fof(f9053,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(left_inverse(X0),X1),multiply(X0,X2))) = multiply(multiply(X1,X0),X2),
inference(superposition,[],[f3,f7887]) ).
fof(f258066,plain,
! [X2,X0,X1] : multiply(multiply(multiply(identity,left_inverse(X0)),multiply(X0,X1)),multiply(X2,multiply(multiply(identity,left_inverse(X0)),multiply(X0,X1)))) = multiply(multiply(multiply(multiply(identity,left_inverse(X0)),multiply(X0,X1)),multiply(X2,left_inverse(X0))),multiply(X0,X1)),
inference(forward_demodulation,[],[f258065,f16691]) ).
fof(f16691,plain,
! [X0,X1] : multiply(X1,left_inverse(X0)) = left_inverse(multiply(X0,left_inverse(X1))),
inference(superposition,[],[f15932,f15992]) ).
fof(f15992,plain,
! [X0,X1] : multiply(left_inverse(multiply(X0,left_inverse(X1))),X0) = X1,
inference(superposition,[],[f8190,f15773]) ).
fof(f258065,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(multiply(X0,left_inverse(identity))),multiply(X0,X1)),multiply(X2,multiply(left_inverse(multiply(X0,left_inverse(identity))),multiply(X0,X1)))) = multiply(multiply(multiply(left_inverse(multiply(X0,left_inverse(identity))),multiply(X0,X1)),multiply(X2,left_inverse(X0))),multiply(X0,X1)),
inference(forward_demodulation,[],[f256979,f19588]) ).
fof(f19588,plain,
! [X0,X1] : multiply(X0,left_inverse(X1)) = multiply(multiply(X0,left_inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f19587,f16691]) ).
fof(f19587,plain,
! [X0,X1] : left_inverse(multiply(X1,left_inverse(X0))) = multiply(multiply(X0,left_inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f19586,f17091]) ).
fof(f17091,plain,
! [X0,X1] : left_inverse(multiply(X0,X1)) = multiply(left_inverse(X1),left_inverse(X0)),
inference(superposition,[],[f16290,f15932]) ).
fof(f19586,plain,
! [X0,X1] : left_inverse(multiply(X1,left_inverse(X0))) = multiply(multiply(X0,multiply(left_inverse(X1),left_inverse(X0))),X0),
inference(forward_demodulation,[],[f19585,f17510]) ).
fof(f17510,plain,
! [X0,X1] : multiply(left_inverse(X1),X0) = left_inverse(multiply(left_inverse(X0),X1)),
inference(superposition,[],[f16386,f7887]) ).
fof(f16386,plain,
! [X0,X1] : left_inverse(X1) = multiply(left_inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f8190,f15932]) ).
fof(f19585,plain,
! [X0,X1] : left_inverse(multiply(X1,left_inverse(X0))) = multiply(multiply(X0,left_inverse(multiply(left_inverse(left_inverse(X0)),X1))),X0),
inference(forward_demodulation,[],[f19358,f16691]) ).
fof(f19358,plain,
! [X0,X1] : left_inverse(multiply(X1,left_inverse(X0))) = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),X1),left_inverse(X0))),X0),
inference(superposition,[],[f17510,f12972]) ).
fof(f256979,plain,
! [X2,X0,X1] : multiply(multiply(left_inverse(multiply(multiply(X0,left_inverse(multiply(X0,identity))),X0)),multiply(X0,X1)),multiply(X2,multiply(left_inverse(multiply(multiply(X0,left_inverse(multiply(X0,identity))),X0)),multiply(X0,X1)))) = multiply(multiply(multiply(left_inverse(multiply(multiply(X0,left_inverse(multiply(X0,identity))),X0)),multiply(X0,X1)),multiply(X2,left_inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f210759,f948]) ).
fof(f948,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(left_inverse(multiply(multiply(X0,left_inverse(multiply(X0,identity))),X0)),multiply(X0,X1))),
inference(forward_demodulation,[],[f863,f10]) ).
fof(f863,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = multiply(X0,multiply(left_inverse(multiply(multiply(X0,left_inverse(multiply(X0,identity))),X0)),multiply(X0,X1))),
inference(superposition,[],[f21,f407]) ).
fof(f407,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(X0,left_inverse(multiply(X0,identity))),X0)),multiply(X0,identity)),
inference(superposition,[],[f186,f2]) ).
fof(f4,axiom,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP203-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:06:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (17235)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (17238)WARNING: value z3 for option sas not known
% 0.14/0.36 % (17236)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (17237)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (17242)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)
% 0.14/0.36 % (17240)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)
% 0.14/0.36 % (17241)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)
% 0.14/0.36 % (17238)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)
% 0.14/0.36 % (17239)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [5]
% 0.21/0.48 TRYING [6]
% 0.21/0.50 TRYING [5]
% 5.23/1.09 TRYING [7]
% 7.91/1.46 TRYING [1]
% 7.91/1.46 TRYING [2]
% 7.91/1.46 TRYING [3]
% 7.94/1.47 TRYING [4]
% 7.94/1.48 TRYING [5]
% 7.94/1.50 TRYING [6]
% 8.46/1.54 TRYING [6]
% 11.54/2.02 TRYING [7]
% 38.31/5.81 % (17242)First to succeed.
% 38.52/5.82 % (17242)Refutation found. Thanks to Tanya!
% 38.52/5.82 % SZS status Unsatisfiable for theBenchmark
% 38.52/5.82 % SZS output start Proof for theBenchmark
% See solution above
% 38.52/5.82 % (17242)------------------------------
% 38.52/5.82 % (17242)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 38.52/5.82 % (17242)Termination reason: Refutation
% 38.52/5.82
% 38.52/5.82 % (17242)Memory used [KB]: 84394
% 38.52/5.82 % (17242)Time elapsed: 5.449 s
% 38.52/5.82 % (17242)Instructions burned: 17721 (million)
% 38.52/5.82 % (17242)------------------------------
% 38.52/5.82 % (17242)------------------------------
% 38.52/5.82 % (17235)Success in time 5.398 s
%------------------------------------------------------------------------------