TSTP Solution File: GRP119-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP119-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 11:51:36 EDT 2024
% Result : Unsatisfiable 3.74s 0.88s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 3
% Syntax : Number of formulae : 104 ( 104 unt; 0 def)
% Number of atoms : 104 ( 103 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 143 ( 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21266,plain,
$false,
inference(trivial_inequality_removal,[],[f21265]) ).
fof(f21265,plain,
identity != identity,
inference(superposition,[],[f3,f20014]) ).
fof(f20014,plain,
! [X0] : identity = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(forward_demodulation,[],[f20013,f19705]) ).
fof(f19705,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f19447,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f19447,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(multiply(X0,X0),identity)))),multiply(multiply(multiply(X0,X0),identity),multiply(multiply(multiply(X0,X0),identity),multiply(multiply(X0,X0),identity))))),
inference(superposition,[],[f1,f17287]) ).
fof(f17287,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),
inference(superposition,[],[f16056,f12229]) ).
fof(f12229,plain,
! [X0] : multiply(X0,X0) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity)),
inference(superposition,[],[f438,f11712]) ).
fof(f11712,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(forward_demodulation,[],[f11636,f2]) ).
fof(f2,axiom,
identity = multiply(identity,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom2) ).
fof(f11636,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),multiply(identity,identity))) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(superposition,[],[f2159,f11495]) ).
fof(f11495,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[],[f11494,f2]) ).
fof(f11494,plain,
! [X0] : multiply(identity,identity) = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[],[f11493,f2]) ).
fof(f11493,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[],[f11492,f2]) ).
fof(f11492,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[],[f11491,f2]) ).
fof(f11491,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[],[f11323,f28]) ).
fof(f28,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(multiply(identity,X0),identity)),
inference(superposition,[],[f19,f19]) ).
fof(f19,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[],[f10,f2]) ).
fof(f10,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(forward_demodulation,[],[f8,f2]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
inference(superposition,[],[f1,f2]) ).
fof(f11323,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(superposition,[],[f49,f10927]) ).
fof(f10927,plain,
! [X0] : identity = multiply(identity,multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity))),
inference(superposition,[],[f10728,f5546]) ).
fof(f5546,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(forward_demodulation,[],[f5368,f49]) ).
fof(f5368,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity),identity))) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(superposition,[],[f49,f5265]) ).
fof(f5265,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(X1,X0))) = multiply(identity,multiply(multiply(identity,X1),multiply(identity,X0))),
inference(superposition,[],[f161,f5253]) ).
fof(f5253,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
inference(forward_demodulation,[],[f5216,f438]) ).
fof(f5216,plain,
! [X0] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity)),
inference(superposition,[],[f438,f4200]) ).
fof(f4200,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))),
inference(forward_demodulation,[],[f4133,f438]) ).
fof(f4133,plain,
! [X0] : multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity)),identity)),
inference(superposition,[],[f438,f414]) ).
fof(f414,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,X0))) = multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
inference(forward_demodulation,[],[f342,f2]) ).
fof(f342,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),multiply(identity,X0))) = multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))) = multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))),
inference(superposition,[],[f1,f1]) ).
fof(f161,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(X0,X1))) = multiply(identity,multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))))),
inference(superposition,[],[f4,f4]) ).
fof(f4,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
inference(superposition,[],[f1,f2]) ).
fof(f10728,plain,
! [X0] : identity = multiply(multiply(identity,X0),multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity))),
inference(superposition,[],[f10575,f5253]) ).
fof(f10575,plain,
! [X0] : identity = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f10574,f60]) ).
fof(f60,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(forward_demodulation,[],[f40,f28]) ).
fof(f40,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(superposition,[],[f28,f19]) ).
fof(f10574,plain,
! [X0] : identity = multiply(multiply(X0,multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f10573,f5608]) ).
fof(f5608,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
inference(superposition,[],[f5546,f60]) ).
fof(f10573,plain,
! [X0] : identity = multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f10524,f49]) ).
fof(f10524,plain,
! [X0] : identity = multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity),identity)))),
inference(superposition,[],[f8237,f5608]) ).
fof(f8237,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f8236,f2]) ).
fof(f8236,plain,
! [X0] : multiply(identity,identity) = multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f8235,f2]) ).
fof(f8235,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f8234,f2]) ).
fof(f8234,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f8233,f28]) ).
fof(f8233,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f8232,f60]) ).
fof(f8232,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f8014,f5608]) ).
fof(f8014,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(superposition,[],[f1617,f5608]) ).
fof(f1617,plain,
! [X0,X1] : multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[],[f19,f572]) ).
fof(f572,plain,
! [X0,X1] : multiply(X0,identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity))),
inference(forward_demodulation,[],[f542,f83]) ).
fof(f83,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
inference(superposition,[],[f19,f49]) ).
fof(f542,plain,
! [X0,X1] : multiply(X0,identity) = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)),identity)),
inference(superposition,[],[f83,f434]) ).
fof(f434,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f433,f2]) ).
fof(f433,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f358,f2]) ).
fof(f358,plain,
! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f49,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(forward_demodulation,[],[f36,f19]) ).
fof(f36,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(superposition,[],[f28,f28]) ).
fof(f2159,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
inference(superposition,[],[f10,f2080]) ).
fof(f2080,plain,
! [X0,X1] : multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),
inference(forward_demodulation,[],[f2079,f19]) ).
fof(f2079,plain,
! [X0,X1] : multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity))),identity)),
inference(forward_demodulation,[],[f2010,f83]) ).
fof(f2010,plain,
! [X0,X1] : multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)),
inference(superposition,[],[f438,f258]) ).
fof(f258,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity)),
inference(superposition,[],[f10,f225]) ).
fof(f225,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity) = X0,
inference(forward_demodulation,[],[f224,f60]) ).
fof(f224,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f206,f28]) ).
fof(f206,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity),
inference(superposition,[],[f77,f83]) ).
fof(f77,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[],[f49,f19]) ).
fof(f438,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(forward_demodulation,[],[f437,f2]) ).
fof(f437,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity)) = X1,
inference(forward_demodulation,[],[f436,f2]) ).
fof(f436,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity)) = X1,
inference(forward_demodulation,[],[f435,f2]) ).
fof(f435,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,identity),multiply(multiply(identity,identity),multiply(identity,identity))))),identity)) = X1,
inference(forward_demodulation,[],[f363,f2]) ).
fof(f363,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(superposition,[],[f10,f7]) ).
fof(f16056,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(forward_demodulation,[],[f16055,f2080]) ).
fof(f16055,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),identity)) = X1,
inference(forward_demodulation,[],[f16054,f15492]) ).
fof(f15492,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(multiply(X0,identity),multiply(X1,identity)),
inference(forward_demodulation,[],[f15336,f438]) ).
fof(f15336,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)),identity)) = multiply(multiply(X0,identity),multiply(X1,identity)),
inference(superposition,[],[f438,f14675]) ).
fof(f14675,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X1),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,identity))),
inference(superposition,[],[f12190,f21]) ).
fof(f21,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(superposition,[],[f10,f10]) ).
fof(f12190,plain,
! [X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X0)) = multiply(X1,multiply(multiply(X1,identity),X0)),
inference(forward_demodulation,[],[f12189,f7917]) ).
fof(f7917,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))) = X0,
inference(forward_demodulation,[],[f184,f505]) ).
fof(f505,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(forward_demodulation,[],[f468,f2]) ).
fof(f468,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[],[f438,f9]) ).
fof(f9,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)),
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity))),
inference(superposition,[],[f1,f2]) ).
fof(f184,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))))) = X0,
inference(forward_demodulation,[],[f183,f2]) ).
fof(f183,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))))) = X0,
inference(forward_demodulation,[],[f157,f2]) ).
fof(f157,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))))) = X0,
inference(superposition,[],[f4,f9]) ).
fof(f12189,plain,
! [X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X0)) = multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))))),
inference(forward_demodulation,[],[f11994,f5253]) ).
fof(f11994,plain,
! [X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X0)) = multiply(X1,multiply(multiply(X1,identity),multiply(multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))),multiply(multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))))))),
inference(superposition,[],[f7,f7917]) ).
fof(f16054,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),X1),identity)),identity)) = X1,
inference(forward_demodulation,[],[f15755,f15492]) ).
fof(f15755,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),multiply(X1,identity))),identity)) = X1,
inference(superposition,[],[f10,f15492]) ).
fof(f20013,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(X0,X0)),identity)),
inference(forward_demodulation,[],[f20012,f15492]) ).
fof(f20012,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f19762,f15492]) ).
fof(f19762,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity)))),
inference(superposition,[],[f3145,f19705]) ).
fof(f3145,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f3144,f2]) ).
fof(f3144,plain,
! [X0] : multiply(identity,identity) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f3143,f2]) ).
fof(f3143,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f3142,f2]) ).
fof(f3142,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f3141,f2]) ).
fof(f3141,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f2963,f28]) ).
fof(f2963,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(superposition,[],[f500,f60]) ).
fof(f500,plain,
! [X0,X1] : multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f499,f2]) ).
fof(f499,plain,
! [X0,X1] : multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(multiply(identity,identity),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f463,f83]) ).
fof(f463,plain,
! [X0,X1] : multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(superposition,[],[f438,f4]) ).
fof(f3,axiom,
identity != multiply(a,multiply(a,multiply(a,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_order4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP119-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 04:35:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (6302)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (6305)WARNING: value z3 for option sas not known
% 0.11/0.34 % (6305)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)
% 0.11/0.34 % (6306)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (6307)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)
% 0.11/0.34 % (6304)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (6308)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)
% 0.11/0.34 % (6303)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (6309)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [5]
% 0.11/0.36 TRYING [4]
% 0.17/0.39 TRYING [6]
% 0.17/0.40 TRYING [5]
% 0.17/0.53 TRYING [7]
% 1.64/0.61 TRYING [6]
% 3.74/0.88 % (6305)First to succeed.
% 3.74/0.88 % (6305)Refutation found. Thanks to Tanya!
% 3.74/0.88 % SZS status Unsatisfiable for theBenchmark
% 3.74/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/0.89 % (6305)------------------------------
% 3.74/0.89 % (6305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.74/0.89 % (6305)Termination reason: Refutation
% 3.74/0.89
% 3.74/0.89 % (6305)Memory used [KB]: 7757
% 3.74/0.89 % (6305)Time elapsed: 0.542 s
% 3.74/0.89 % (6305)Instructions burned: 1276 (million)
% 3.74/0.89 % (6305)------------------------------
% 3.74/0.89 % (6305)------------------------------
% 3.74/0.89 % (6302)Success in time 0.546 s
%------------------------------------------------------------------------------