%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP120-1 : 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 : n007.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 5.09s 1.19s
% Output : Refutation 5.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 118 ( 118 unt; 0 def)
% Number of atoms : 118 ( 117 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 : 158 ( 158 !; 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(identity,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
fof(f5,plain,
a != multiply(identity,a),
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(f7,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity))),
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(f12,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)),
inference(forward_demodulation,[],[f7,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(f127,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X0,identity)))),identity)),
inference(superposition,[],[f11,f97]) ).
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(f214,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,[],[f127,f21]) ).
fof(f614,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,[],[f614,f6]) ).
fof(f634,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(X0,identity)),identity)),
inference(superposition,[],[f614,f1]) ).
fof(f637,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[],[f614,f12]) ).
fof(f638,plain,
! [X0,X1] : multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity)),identity)),
inference(superposition,[],[f614,f214]) ).
fof(f668,plain,
! [X0,X1] : multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity))),identity)),
inference(forward_demodulation,[],[f638,f97]) ).
fof(f669,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(forward_demodulation,[],[f637,f3]) ).
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(f682,plain,
! [X0,X1] : multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,X0),identity)),
inference(forward_demodulation,[],[f668,f21]) ).
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(f704,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(superposition,[],[f614,f669]) ).
fof(f881,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
inference(superposition,[],[f11,f682]) ).
fof(f883,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))),
inference(superposition,[],[f214,f682]) ).
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(f2417,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(superposition,[],[f634,f704]) ).
fof(f2471,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = X0,
inference(forward_demodulation,[],[f2417,f614]) ).
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(f3190,plain,
! [X0] : multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)) = multiply(multiply(identity,X0),multiply(multiply(X0,identity),identity)),
inference(superposition,[],[f3103,f2471]) ).
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,[],[f614,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,f614]) ).
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(f3787,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,[],[f614,f3669]) ).
fof(f3799,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(X1,identity)),identity))) = X1,
inference(superposition,[],[f881,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(f6484,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(f6628,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,[],[f6484,f54]) ).
fof(f6685,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,[],[f6628,f3698]) ).
fof(f6734,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(X0,X0)))),X0)),
inference(forward_demodulation,[],[f6685,f54]) ).
fof(f6886,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity))),
inference(superposition,[],[f6734,f1585]) ).
fof(f7188,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,[],[f614,f6886]) ).
fof(f7202,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,[],[f7188,f3]) ).
fof(f9085,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,[],[f3787,f4739]) ).
fof(f9168,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,[],[f9085,f97]) ).
fof(f9253,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,[],[f9168,f97]) ).
fof(f9330,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,[],[f9253,f3669]) ).
fof(f9400,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,[],[f9330,f97]) ).
fof(f9459,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,[],[f9400,f3669]) ).
fof(f9507,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,[],[f9459,f97]) ).
fof(f9543,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,[],[f9507,f3669]) ).
fof(f9568,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,[],[f9543,f97]) ).
fof(f9588,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,[],[f9568,f3669]) ).
fof(f9606,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,[],[f9588,f30]) ).
fof(f9620,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,[],[f9606,f3722]) ).
fof(f9633,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f9620,f3669]) ).
fof(f9643,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0),
inference(forward_demodulation,[],[f9633,f3669]) ).
fof(f10732,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)),identity))),
inference(superposition,[],[f3799,f3190]) ).
fof(f10792,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity)))),
inference(forward_demodulation,[],[f10732,f97]) ).
fof(f10856,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity)))),
inference(forward_demodulation,[],[f10792,f3669]) ).
fof(f10915,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity)))),
inference(forward_demodulation,[],[f10856,f3669]) ).
fof(f17302,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,[],[f7202,f4970]) ).
fof(f17357,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,[],[f17302,f97]) ).
fof(f17393,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,[],[f17357,f97]) ).
fof(f17426,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,[],[f17393,f97]) ).
fof(f17456,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,[],[f17426,f30]) ).
fof(f17483,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,[],[f17456,f61]) ).
fof(f17503,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,[],[f17483,f3669]) ).
fof(f17519,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,[],[f17503,f30]) ).
fof(f17530,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,[],[f17519,f3669]) ).
fof(f17540,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,[],[f17530,f3669]) ).
fof(f17549,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17540,f9643]) ).
fof(f17621,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,f17549]) ).
fof(f17632,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity),
inference(forward_demodulation,[],[f17621,f138]) ).
fof(f17675,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)),
inference(forward_demodulation,[],[f17632,f97]) ).
fof(f17714,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f17675,f21]) ).
fof(f18091,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = X0,
inference(superposition,[],[f21,f17714]) ).
fof(f18158,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,X0))) = X0,
inference(forward_demodulation,[],[f18091,f17714]) ).
fof(f18928,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity))),
inference(superposition,[],[f18158,f10915]) ).
fof(f19145,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),identity),identity))),
inference(forward_demodulation,[],[f18928,f17714]) ).
fof(f19250,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f19145,f17714]) ).
fof(f19321,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),
inference(forward_demodulation,[],[f19250,f883]) ).
fof(f19359,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(forward_demodulation,[],[f19321,f18158]) ).
fof(f19382,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[],[f19359,f17714]) ).
fof(f19453,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f19382,f18158]) ).
fof(f20241,plain,
a != a,
inference(superposition,[],[f5,f19453]) ).
fof(f20449,plain,
$false,
inference(trivial_inequality_removal,[],[f20241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP120-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.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 09:17:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.43 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
% 5.09/1.19 % (1150973)Will run a generic schedule for satisfiability detection.
% 5.09/1.19 % (1150983)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2906507952:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.09/1.19 % (1150979)% WARNING: option uhcvi not known.
% 5.09/1.19 % (1150984)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1888588321:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.09/1.19 % (1150981)dis+10_1_sil=32000:sp=arity:random_seed=3782649006:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.09/1.19 % (1150982)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=175664766:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.09/1.19 % (1150980)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1036455422:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.09/1.19 % (1150979)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1240843610:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.09/1.19 % (1150978)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2024156585_2999 on theBenchmark for (2999ds/0Mi)
% 5.09/1.19 % TRYING [1]
% 5.09/1.19 % TRYING [2]
% 5.09/1.19 % TRYING [3]
% 5.09/1.19 % TRYING [4]
% 5.09/1.19 % TRYING [5]
% 5.09/1.19 % (1150983)Instruction limit reached!
% 5.09/1.19 % (1150983)------------------------------
% 5.09/1.19 % (1150983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150983)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150983)Termination reason: Instruction limit
% 5.09/1.19 % (1150983)Termination phase: Saturation
% 5.09/1.19 % (1150983)Time elapsed: 0.067 s
% 5.09/1.19 % (1150983)Peak memory usage: 13 MB
% 5.09/1.19 % (1150983)Instructions burned: 132 (million)
% 5.09/1.19 % (1150992)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=228418668:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.09/1.19 % TRYING [1]
% 5.09/1.19 % TRYING [2]
% 5.09/1.19 % TRYING [3]
% 5.09/1.19 % TRYING [4]
% 5.09/1.19 % TRYING [5]
% 5.09/1.19 % (1150981)Instruction limit reached!
% 5.09/1.19 % (1150981)------------------------------
% 5.09/1.19 % (1150981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150981)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150981)Termination reason: Instruction limit
% 5.09/1.19 % (1150981)Termination phase: Saturation
% 5.09/1.19 % (1150981)Time elapsed: 0.094 s
% 5.09/1.19 % (1150981)Peak memory usage: 11 MB
% 5.09/1.19 % (1150981)Instructions burned: 104 (million)
% 5.09/1.19 % (1150982)Instruction limit reached!
% 5.09/1.19 % (1150982)------------------------------
% 5.09/1.19 % (1150982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150982)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150982)Termination reason: Instruction limit
% 5.09/1.19 % (1150982)Termination phase: Saturation
% 5.09/1.19 % (1150982)Time elapsed: 0.111 s
% 5.09/1.19 % (1150982)Peak memory usage: 12 MB
% 5.09/1.19 % (1150982)Instructions burned: 117 (million)
% 5.09/1.19 % (1150994)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2981818343:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.09/1.19 % TRYING [6]
% 5.09/1.19 % (1150995)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=1072541377:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.09/1.19 % (1150984)Instruction limit reached!
% 5.09/1.19 % (1150984)------------------------------
% 5.09/1.19 % (1150984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150984)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150984)Termination reason: Instruction limit
% 5.09/1.19 % (1150984)Termination phase: Saturation
% 5.09/1.19 % (1150984)Time elapsed: 0.160 s
% 5.09/1.19 % (1150984)Peak memory usage: 12 MB
% 5.09/1.19 % (1150984)Instructions burned: 159 (million)
% 5.09/1.19 % (1151007)ott-21_1_sil=16000:fs=off:random_seed=3828587718:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 5.09/1.19 % TRYING [6]
% 5.09/1.19 % (1150994)Instruction limit reached!
% 5.09/1.19 % (1150994)------------------------------
% 5.09/1.19 % (1150994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150994)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150994)Termination reason: Instruction limit
% 5.09/1.19 % (1150994)Termination phase: Saturation
% 5.09/1.19 % (1150994)Time elapsed: 0.129 s
% 5.09/1.19 % (1150994)Peak memory usage: 12 MB
% 5.09/1.19 % (1150994)Instructions burned: 131 (million)
% 5.09/1.19 % (1151009)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3285843731:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 5.09/1.19 % (1151007)Instruction limit reached!
% 5.09/1.19 % (1151007)------------------------------
% 5.09/1.19 % (1151007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1151007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1151007)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1151007)Termination reason: Instruction limit
% 5.09/1.19 % (1151007)Termination phase: Saturation
% 5.09/1.19 % (1151007)Time elapsed: 0.151 s
% 5.09/1.19 % (1151007)Peak memory usage: 12 MB
% 5.09/1.19 % (1151007)Instructions burned: 180 (million)
% 5.09/1.19 % (1151019)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=341194113:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 5.09/1.19 % TRYING [1]
% 5.09/1.19 % TRYING [2]
% 5.09/1.19 % (1150992)Instruction limit reached!
% 5.09/1.19 % (1150992)------------------------------
% 5.09/1.19 % (1150992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150992)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150992)Termination reason: Instruction limit
% 5.09/1.19 % (1150992)Termination phase: Finite model building SAT solving
% 5.09/1.19 % (1150992)Time elapsed: 0.342 s
% 5.09/1.19 % (1150992)Peak memory usage: 17 MB
% 5.09/1.19 % (1150992)Instructions burned: 716 (million)
% 5.09/1.19 % TRYING [3]
% 5.09/1.19 % TRYING [4]
% 5.09/1.19 % TRYING [5]
% 5.09/1.19 % (1151021)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3375030609:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.09/1.19 % TRYING [6]
% 5.09/1.19 % TRYING [7]
% 5.09/1.19 % (1150980) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1150973-1150980"...
% 5.09/1.19 % (1151009)Instruction limit reached!
% 5.09/1.19 % (1151009)------------------------------
% 5.09/1.19 % (1151009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1151009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1151009)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1151009)Termination reason: Instruction limit
% 5.09/1.19 % (1151009)Termination phase: Saturation
% 5.09/1.19 % (1151009)Time elapsed: 0.374 s
% 5.09/1.19 % (1151009)Peak memory usage: 15 MB
% 5.09/1.19 % (1151009)Instructions burned: 478 (million)
% 5.09/1.19 % (1150980)...printing done.
% 5.09/1.19 % (1150980)Refutation found. Thanks to Tanya!
% 5.09/1.19 % SZS status Unsatisfiable for theBenchmark
% 5.09/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 5.09/1.19 % (1150980)------------------------------
% 5.09/1.19 % (1150980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.19 % (1150980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.19 % (1150980)CaDiCaL version: 2.1.3
% 5.09/1.19 % (1150980)Termination reason: Refutation
% 5.09/1.19 % (1150980)Time elapsed: 0.696 s
% 5.09/1.19 % (1150980)Peak memory usage: 18 MB
% 5.09/1.19 % (1150980)Instructions burned: 871 (million)
% 5.09/1.19 % (1150973)Success in time 0.747 s
% 5.09/1.19 % Vampire exiting
%------------------------------------------------------------------------------