%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:42 AM UTC 2026
% Result : Unsatisfiable 2.32s 0.86s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 3
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 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 : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom2) ).
fof(f3,plain,
identity = multiply(identity,identity),
inference(reorient_equations,[],[f2]) ).
fof(f4,negated_conjecture,
multiply(a,identity) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
fof(f5,plain,
a != multiply(a,identity),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(forward_demodulation,[],[f10,f3]) ).
fof(f21,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[],[f11,f3]) ).
fof(f23,plain,
! [X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X0,identity))) = multiply(X1,multiply(multiply(X1,X0),identity)),
inference(superposition,[],[f11,f11]) ).
fof(f30,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(multiply(identity,X0),identity)),
inference(superposition,[],[f21,f21]) ).
fof(f38,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,[],[f30,f30]) ).
fof(f45,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(superposition,[],[f21,f30]) ).
fof(f54,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(forward_demodulation,[],[f45,f30]) ).
fof(f61,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(forward_demodulation,[],[f38,f21]) ).
fof(f97,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
inference(superposition,[],[f21,f61]) ).
fof(f116,plain,
! [X0,X1] : multiply(X0,identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1))),identity)),
inference(superposition,[],[f97,f1]) ).
fof(f138,plain,
! [X0,X1] : multiply(X0,identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),identity)),
inference(forward_demodulation,[],[f116,f3]) ).
fof(f613,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(superposition,[],[f11,f23]) ).
fof(f630,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,[],[f613,f6]) ).
fof(f674,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,[],[f630,f97]) ).
fof(f685,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,[],[f674,f3]) ).
fof(f1443,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity),identity))),
inference(superposition,[],[f685,f6]) ).
fof(f1457,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,[],[f685,f54]) ).
fof(f1475,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,[],[f1457,f30]) ).
fof(f1489,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
inference(forward_demodulation,[],[f1443,f61]) ).
fof(f1516,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,[],[f1475,f3]) ).
fof(f1548,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,[],[f1516,f3]) ).
fof(f1571,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,[],[f1548,f3]) ).
fof(f1585,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,[],[f1571,f3]) ).
fof(f2670,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(superposition,[],[f1489,f3]) ).
fof(f2694,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,[],[f138,f1489]) ).
fof(f2722,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,[],[f2694,f30]) ).
fof(f3103,plain,
! [X0,X1] : multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[],[f21,f2722]) ).
fof(f3627,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,[],[f613,f2670]) ).
fof(f3636,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,[],[f3627,f613]) ).
fof(f3669,plain,
! [X0,X1] : multiply(identity,multiply(X1,X0)) = multiply(multiply(identity,X1),multiply(identity,X0)),
inference(superposition,[],[f1489,f3636]) ).
fof(f3670,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,multiply(X0,multiply(X0,X0))))),multiply(identity,X0))) = X2,
inference(superposition,[],[f1,f3636]) ).
fof(f3698,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
inference(superposition,[],[f3669,f54]) ).
fof(f3722,plain,
! [X0,X1] : multiply(multiply(identity,X1),X0) = multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),
inference(superposition,[],[f3669,f54]) ).
fof(f3782,plain,
! [X0,X1] : multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),X1),identity)),identity)) = X1,
inference(superposition,[],[f613,f3669]) ).
fof(f4552,plain,
! [X0,X1] : multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity),identity)) = multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[],[f3103,f3698]) ).
fof(f4593,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),identity)),identity)) = multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),
inference(forward_demodulation,[],[f4552,f97]) ).
fof(f4634,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(X0,identity),identity)),identity),identity))) = multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),
inference(forward_demodulation,[],[f4593,f30]) ).
fof(f4668,plain,
! [X0,X1] : multiply(multiply(X0,identity),identity) = multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),
inference(forward_demodulation,[],[f4634,f61]) ).
fof(f4739,plain,
! [X0,X1] : multiply(multiply(X1,identity),identity) = multiply(multiply(X1,multiply(identity,multiply(identity,X0))),multiply(X0,multiply(X0,X0))),
inference(superposition,[],[f4668,f3636]) ).
fof(f4746,plain,
! [X0,X1] : multiply(multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(identity,multiply(X1,multiply(X1,X1))))))),identity),identity) = multiply(multiply(multiply(X0,identity),identity),X1),
inference(superposition,[],[f4668,f4668]) ).
fof(f4862,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),identity),X1) = multiply(multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))))),identity),identity),
inference(forward_demodulation,[],[f4746,f3669]) ).
fof(f4919,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),identity),X1) = multiply(multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))))),identity),identity),
inference(forward_demodulation,[],[f4862,f3669]) ).
fof(f4970,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),identity),X1) = multiply(multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,X1)))),identity),identity),
inference(forward_demodulation,[],[f4919,f2670]) ).
fof(f6485,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),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(identity,multiply(multiply(X0,identity),identity)))))),
inference(superposition,[],[f3670,f3698]) ).
fof(f6629,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))))),X0)),
inference(forward_demodulation,[],[f6485,f54]) ).
fof(f6686,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))))),X0)),
inference(forward_demodulation,[],[f6629,f3698]) ).
fof(f6735,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(X0,X0)))),X0)),
inference(forward_demodulation,[],[f6686,f54]) ).
fof(f6887,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity))),
inference(superposition,[],[f6735,f1585]) ).
fof(f7191,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity)),
inference(superposition,[],[f613,f6887]) ).
fof(f7203,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity)),
inference(forward_demodulation,[],[f7191,f3]) ).
fof(f9086,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,identity),identity),identity)),identity)),
inference(superposition,[],[f3782,f4739]) ).
fof(f9169,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(identity,multiply(identity,identity)),identity)),identity)),
inference(forward_demodulation,[],[f9086,f97]) ).
fof(f9254,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(multiply(identity,identity),identity))),identity)),
inference(forward_demodulation,[],[f9169,f97]) ).
fof(f9331,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,identity),identity))),identity)),
inference(forward_demodulation,[],[f9254,f3669]) ).
fof(f9401,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,identity),identity)),identity))),
inference(forward_demodulation,[],[f9331,f97]) ).
fof(f9460,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,identity),identity)),identity))),
inference(forward_demodulation,[],[f9401,f3669]) ).
fof(f9508,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,identity))),identity))),
inference(forward_demodulation,[],[f9460,f97]) ).
fof(f9544,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(multiply(identity,multiply(multiply(identity,X0),multiply(identity,identity))),identity))),
inference(forward_demodulation,[],[f9508,f3669]) ).
fof(f9569,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)))),
inference(forward_demodulation,[],[f9544,f97]) ).
fof(f9589,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))),
inference(forward_demodulation,[],[f9569,f3669]) ).
fof(f9607,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),
inference(forward_demodulation,[],[f9589,f30]) ).
fof(f9621,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f9607,f3722]) ).
fof(f9634,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f9621,f3669]) ).
fof(f9644,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0),
inference(forward_demodulation,[],[f9634,f3669]) ).
fof(f17303,plain,
! [X0] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity),identity),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity),identity)),
inference(superposition,[],[f7203,f4970]) ).
fof(f17358,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),multiply(multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity)),
inference(forward_demodulation,[],[f17303,f97]) ).
fof(f17394,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),identity),identity)),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),identity),identity))),
inference(forward_demodulation,[],[f17358,f97]) ).
fof(f17427,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity)),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity))),
inference(forward_demodulation,[],[f17394,f97]) ).
fof(f17457,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))),
inference(forward_demodulation,[],[f17427,f30]) ).
fof(f17484,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(X0,X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f17457,f61]) ).
fof(f17504,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17484,f3669]) ).
fof(f17520,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17504,f30]) ).
fof(f17531,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17520,f3669]) ).
fof(f17541,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17531,f3669]) ).
fof(f17550,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17541,f9644]) ).
fof(f17622,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,multiply(X0,X0)))),multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(X0,X0)))),identity)),
inference(superposition,[],[f138,f17550]) ).
fof(f17633,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity),
inference(forward_demodulation,[],[f17622,f138]) ).
fof(f17676,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)),
inference(forward_demodulation,[],[f17633,f97]) ).
fof(f17715,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f17676,f21]) ).
fof(f18019,plain,
a != a,
inference(superposition,[],[f5,f17715]) ).
fof(f18128,plain,
$false,
inference(trivial_inequality_removal,[],[f18019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:23:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.32/0.86 % (1391568)Will run a generic schedule for satisfiability detection.
% 2.32/0.86 % (1391582)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=267694457:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.32/0.86 % (1391577)% WARNING: option uhcvi not known.
% 2.32/0.86 % (1391580)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1251054381:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.32/0.86 % (1391577)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=50481296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.32/0.86 % (1391578)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1480182290:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.32/0.86 % (1391576)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3650618849_2999 on theBenchmark for (2999ds/0Mi)
% 2.32/0.86 % (1391581)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=288619729:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.32/0.86 % TRYING [1]
% 2.32/0.86 % (1391579)dis+10_1_sil=32000:sp=arity:random_seed=3681339786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.32/0.86 % TRYING [2]
% 2.32/0.86 % TRYING [3]
% 2.32/0.86 % TRYING [4]
% 2.32/0.86 % TRYING [5]
% 2.32/0.86 % (1391582)Instruction limit reached!
% 2.32/0.86 % (1391582)------------------------------
% 2.32/0.86 % (1391582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391582)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391582)Termination reason: Instruction limit
% 2.32/0.86 % (1391582)Termination phase: Saturation
% 2.32/0.86 % (1391582)Time elapsed: 0.049 s
% 2.32/0.86 % (1391582)Peak memory usage: 12 MB
% 2.32/0.86 % (1391582)Instructions burned: 162 (million)
% 2.32/0.86 % (1391604)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2904556612:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.32/0.86 % TRYING [1]
% 2.32/0.86 % TRYING [2]
% 2.32/0.86 % TRYING [3]
% 2.32/0.86 % TRYING [4]
% 2.32/0.86 % (1391579)Instruction limit reached!
% 2.32/0.86 % (1391579)------------------------------
% 2.32/0.86 % (1391579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391579)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391579)Termination reason: Instruction limit
% 2.32/0.86 % (1391579)Termination phase: Saturation
% 2.32/0.86 % (1391579)Time elapsed: 0.057 s
% 2.32/0.86 % (1391579)Peak memory usage: 11 MB
% 2.32/0.86 % (1391579)Instructions burned: 104 (million)
% 2.32/0.86 % TRYING [5]
% 2.32/0.86 % (1391607)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=215918340:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.32/0.86 % (1391580)Instruction limit reached!
% 2.32/0.86 % (1391580)------------------------------
% 2.32/0.86 % (1391580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391580)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391580)Termination reason: Instruction limit
% 2.32/0.86 % (1391580)Termination phase: Saturation
% 2.32/0.86 % (1391580)Time elapsed: 0.081 s
% 2.32/0.86 % (1391580)Peak memory usage: 12 MB
% 2.32/0.86 % (1391580)Instructions burned: 117 (million)
% 2.32/0.86 % (1391581)Instruction limit reached!
% 2.32/0.86 % (1391581)------------------------------
% 2.32/0.86 % (1391581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391581)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391581)Termination reason: Instruction limit
% 2.32/0.86 % (1391581)Termination phase: Saturation
% 2.32/0.86 % (1391581)Time elapsed: 0.081 s
% 2.32/0.86 % (1391581)Peak memory usage: 13 MB
% 2.32/0.86 % (1391581)Instructions burned: 131 (million)
% 2.32/0.86 % (1391612)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=680940198:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.32/0.86 % (1391616)ott-21_1_sil=16000:fs=off:random_seed=1303881520:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.32/0.86 % TRYING [6]
% 2.32/0.86 % (1391607)Instruction limit reached!
% 2.32/0.86 % (1391607)------------------------------
% 2.32/0.86 % (1391607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391607)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391607)Termination reason: Instruction limit
% 2.32/0.86 % (1391607)Termination phase: Saturation
% 2.32/0.86 % (1391607)Time elapsed: 0.075 s
% 2.32/0.86 % (1391607)Peak memory usage: 12 MB
% 2.32/0.86 % (1391607)Instructions burned: 132 (million)
% 2.32/0.86 % TRYING [6]
% 2.32/0.86 % (1391627)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=323611087:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.32/0.86 % (1391616)Instruction limit reached!
% 2.32/0.86 % (1391616)------------------------------
% 2.32/0.86 % (1391616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391616)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391616)Termination reason: Instruction limit
% 2.32/0.86 % (1391616)Termination phase: Saturation
% 2.32/0.86 % (1391616)Time elapsed: 0.084 s
% 2.32/0.86 % (1391616)Peak memory usage: 11 MB
% 2.32/0.86 % (1391616)Instructions burned: 182 (million)
% 2.32/0.86 % (1391633)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3884388004:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.32/0.86 % TRYING [1]
% 2.32/0.86 % TRYING [2]
% 2.32/0.86 % TRYING [3]
% 2.32/0.86 % TRYING [4]
% 2.32/0.86 % TRYING [5]
% 2.32/0.86 % TRYING [6]
% 2.32/0.86 % (1391604)Instruction limit reached!
% 2.32/0.86 % (1391604)------------------------------
% 2.32/0.86 % (1391604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.86 % (1391604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.86 % (1391604)CaDiCaL version: 2.1.3
% 2.32/0.86 % (1391604)Termination reason: Instruction limit
% 2.32/0.86 % (1391604)Termination phase: Finite model building SAT solving
% 2.32/0.86 % (1391604)Time elapsed: 0.224 s
% 2.32/0.86 % (1391604)Peak memory usage: 18 MB
% 2.32/0.86 % (1391604)Instructions burned: 715 (million)
% 2.32/0.86 % (1391635)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4159838061:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.32/0.86 % (1391578) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1391568-1391578"...
% 2.32/0.86 % (1391578)...printing done.
% 2.32/0.86 % (1391578)Refutation found. Thanks to Tanya!
% 2.32/0.86 % SZS status Unsatisfiable for theBenchmark
% 2.32/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.87 % (1391578)------------------------------
% 2.32/0.87 % (1391578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.87 % (1391578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.87 % (1391578)CaDiCaL version: 2.1.3
% 2.32/0.87 % (1391578)Termination reason: Refutation
% 2.32/0.87 % (1391578)Time elapsed: 0.410 s
% 2.32/0.87 % (1391578)Peak memory usage: 18 MB
% 2.32/0.87 % (1391578)Instructions burned: 800 (million)
% 2.32/0.87 % (1391568)Success in time 0.45 s
% 2.32/0.87 % Vampire exiting
%------------------------------------------------------------------------------