%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 2.26s 0.96s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 3
% Syntax : Number of formulae : 107 ( 107 unt; 0 def)
% Number of atoms : 107 ( 106 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 : 153 ( 153 !; 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,multiply(a,multiply(a,a))) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order4) ).
fof(f5,plain,
identity != multiply(a,multiply(a,multiply(a,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(f9,plain,
! [X2,X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X0,X2))) = multiply(X1,multiply(multiply(X1,X0),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))),
inference(superposition,[],[f1,f1]) ).
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(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(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(f701,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(superposition,[],[f12,f669]) ).
fof(f704,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(superposition,[],[f614,f669]) ).
fof(f781,plain,
! [X0] : identity = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))),
inference(superposition,[],[f701,f97]) ).
fof(f810,plain,
! [X0] : identity = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f781,f97]) ).
fof(f881,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
inference(superposition,[],[f11,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(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(f2117,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,[],[f6,f9]) ).
fof(f2134,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f2117,f3]) ).
fof(f2203,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f2134,f3]) ).
fof(f2326,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,[],[f97,f2203]) ).
fof(f2345,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,[],[f2326,f30]) ).
fof(f2391,plain,
! [X0,X1] : multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[],[f21,f2345]) ).
fof(f3178,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(f3249,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,[],[f3178,f614]) ).
fof(f3347,plain,
! [X0] : multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)) = multiply(multiply(identity,X0),multiply(multiply(X0,identity),identity)),
inference(superposition,[],[f2391,f3249]) ).
fof(f4235,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(f4417,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,f4235]) ).
fof(f4426,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,[],[f4417,f614]) ).
fof(f4468,plain,
! [X0,X1] : multiply(identity,multiply(X1,X0)) = multiply(multiply(identity,X1),multiply(identity,X0)),
inference(superposition,[],[f1489,f4426]) ).
fof(f4478,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,multiply(identity,X0))),multiply(X0,multiply(X0,X0))))) = X1,
inference(superposition,[],[f2203,f4426]) ).
fof(f4504,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
inference(superposition,[],[f4468,f54]) ).
fof(f4605,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,f4468]) ).
fof(f5112,plain,
! [X2,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(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))))),multiply(multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))))),multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2)))))))))),
inference(superposition,[],[f9,f4478]) ).
fof(f5127,plain,
! [X2,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(identity,multiply(X0,multiply(identity,X2))),multiply(X2,multiply(X2,X2))))))),
inference(forward_demodulation,[],[f5112,f4426]) ).
fof(f5199,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,[],[f5127,f4478]) ).
fof(f5503,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,[],[f2391,f4504]) ).
fof(f5526,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(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,[],[f5503,f4468]) ).
fof(f5576,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(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,[],[f5526,f4504]) ).
fof(f5616,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f5576,f54]) ).
fof(f5641,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f5616,f30]) ).
fof(f5657,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f5641,f3]) ).
fof(f5667,plain,
! [X0] : multiply(identity,identity) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f5657,f3]) ).
fof(f5674,plain,
! [X0] : identity = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f5667,f3]) ).
fof(f6080,plain,
! [X0] : identity = multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),identity),identity)))),
inference(superposition,[],[f810,f5674]) ).
fof(f6112,plain,
! [X0] : identity = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),identity),identity)))),
inference(forward_demodulation,[],[f6080,f4468]) ).
fof(f6140,plain,
! [X0] : identity = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f6112,f54]) ).
fof(f6207,plain,
! [X0] : identity = multiply(multiply(identity,X0),multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity))),
inference(superposition,[],[f6140,f4426]) ).
fof(f6250,plain,
! [X0] : identity = multiply(identity,multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity))),
inference(forward_demodulation,[],[f6207,f4468]) ).
fof(f6317,plain,
! [X0] : identity = multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),identity),identity)))),
inference(superposition,[],[f810,f6250]) ).
fof(f6363,plain,
! [X0] : identity = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),identity),identity)))),
inference(forward_demodulation,[],[f6317,f4468]) ).
fof(f6399,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)),
inference(forward_demodulation,[],[f6363,f54]) ).
fof(f6519,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),multiply(identity,identity))) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(superposition,[],[f881,f6399]) ).
fof(f6603,plain,
! [X0] : multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(forward_demodulation,[],[f6519,f3]) ).
fof(f6791,plain,
! [X0] : multiply(X0,X0) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity)),
inference(superposition,[],[f614,f6603]) ).
fof(f12661,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X1),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,identity))),
inference(superposition,[],[f5199,f23]) ).
fof(f12672,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),
inference(superposition,[],[f9,f5199]) ).
fof(f12744,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),
inference(forward_demodulation,[],[f12672,f4426]) ).
fof(f12849,plain,
! [X0,X1] : multiply(multiply(X0,identity),multiply(X1,identity)) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)),identity)),
inference(superposition,[],[f614,f12661]) ).
fof(f12862,plain,
! [X0,X1] : multiply(multiply(multiply(identity,X0),identity),multiply(X1,identity)) = multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),X1),identity)),identity)),identity)),
inference(superposition,[],[f4605,f12661]) ).
fof(f12927,plain,
! [X0,X1] : multiply(multiply(multiply(identity,X0),X1),identity) = multiply(multiply(multiply(identity,X0),identity),multiply(X1,identity)),
inference(forward_demodulation,[],[f12862,f4605]) ).
fof(f12934,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(multiply(X0,identity),multiply(X1,identity)),
inference(forward_demodulation,[],[f12849,f614]) ).
fof(f12992,plain,
! [X0,X1] : multiply(multiply(multiply(identity,X0),X1),identity) = multiply(multiply(identity,multiply(X0,identity)),multiply(X1,identity)),
inference(forward_demodulation,[],[f12927,f97]) ).
fof(f13143,plain,
! [X0,X1] : multiply(multiply(X1,multiply(identity,X0)),identity) = multiply(multiply(X1,identity),multiply(identity,multiply(X0,identity))),
inference(superposition,[],[f12934,f97]) ).
fof(f15255,plain,
! [X2,X0,X1] : multiply(multiply(X0,identity),multiply(X1,X2)) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))),identity)),identity)),
inference(superposition,[],[f614,f12744]) ).
fof(f15333,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(multiply(X0,identity),multiply(X1,X2)),
inference(forward_demodulation,[],[f15255,f614]) ).
fof(f16180,plain,
! [X0] : identity = multiply(multiply(X0,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(superposition,[],[f15333,f6140]) ).
fof(f17605,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))),
inference(superposition,[],[f16180,f97]) ).
fof(f17657,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f17605,f97]) ).
fof(f17679,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),identity),multiply(multiply(identity,X0),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f17657,f15333]) ).
fof(f17698,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),identity),multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)))),
inference(forward_demodulation,[],[f17679,f3347]) ).
fof(f17712,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,identity)),multiply(multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),identity))),identity)),
inference(forward_demodulation,[],[f17698,f13143]) ).
fof(f17723,plain,
! [X0] : identity = multiply(multiply(multiply(identity,X0),multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),identity)))),identity),
inference(forward_demodulation,[],[f17712,f12992]) ).
fof(f17731,plain,
! [X0] : identity = multiply(multiply(multiply(identity,X0),multiply(identity,multiply(X0,multiply(multiply(X0,X0),identity)))),identity),
inference(forward_demodulation,[],[f17723,f4468]) ).
fof(f17737,plain,
! [X0] : identity = multiply(multiply(identity,multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity)))),identity),
inference(forward_demodulation,[],[f17731,f4468]) ).
fof(f17742,plain,
! [X0] : identity = multiply(identity,multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity)),
inference(forward_demodulation,[],[f17737,f97]) ).
fof(f18407,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(superposition,[],[f21,f17742]) ).
fof(f18485,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f18407,f30]) ).
fof(f18536,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f18485,f3]) ).
fof(f18576,plain,
! [X0] : multiply(identity,identity) = multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f18536,f3]) ).
fof(f18601,plain,
! [X0] : identity = multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f18576,f3]) ).
fof(f18674,plain,
! [X0] : multiply(X0,X0) = multiply(multiply(X0,X0),multiply(identity,identity)),
inference(superposition,[],[f6791,f18601]) ).
fof(f18780,plain,
! [X0] : multiply(X0,X0) = multiply(multiply(X0,X0),identity),
inference(forward_demodulation,[],[f18674,f3]) ).
fof(f19011,plain,
! [X0] : identity = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(superposition,[],[f18601,f18780]) ).
fof(f19532,plain,
identity != identity,
inference(superposition,[],[f5,f19011]) ).
fof(f19533,plain,
$false,
inference(trivial_inequality_removal,[],[f19532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n004.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 09:19:38 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 2.26/0.96 % (3247077)Will run a generic schedule for satisfiability detection.
% 2.26/0.96 % (3247089)dis+10_1_sil=32000:sp=arity:random_seed=2216818591:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.26/0.96 % (3247087)% WARNING: option uhcvi not known.
% 2.26/0.96 % (3247088)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1786327715:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.26/0.96 % (3247090)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2836238789:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.26/0.96 % (3247091)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1066800753:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.26/0.96 % (3247087)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1668249273:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.26/0.96 % (3247092)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1275504093:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.26/0.96 % (3247086)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=799637225_2999 on theBenchmark for (2999ds/0Mi)
% 2.26/0.96 % TRYING [1]
% 2.26/0.96 % TRYING [2]
% 2.26/0.96 % TRYING [3]
% 2.26/0.96 % TRYING [4]
% 2.26/0.96 % TRYING [5]
% 2.26/0.96 % (3247089)Instruction limit reached!
% 2.26/0.96 % (3247089)------------------------------
% 2.26/0.96 % (3247089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247089)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247089)Termination reason: Instruction limit
% 2.26/0.96 % (3247089)Termination phase: Saturation
% 2.26/0.96 % (3247089)Time elapsed: 0.030 s
% 2.26/0.96 % (3247089)Peak memory usage: 12 MB
% 2.26/0.96 % (3247089)Instructions burned: 104 (million)
% 2.26/0.96 % (3247102)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2998822161:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.26/0.96 % TRYING [1]
% 2.26/0.96 % TRYING [2]
% 2.26/0.96 % TRYING [3]
% 2.26/0.96 % TRYING [4]
% 2.26/0.96 % TRYING [5]
% 2.26/0.96 % (3247090)Instruction limit reached!
% 2.26/0.96 % (3247090)------------------------------
% 2.26/0.96 % (3247090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247090)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247090)Termination reason: Instruction limit
% 2.26/0.96 % (3247090)Termination phase: Saturation
% 2.26/0.96 % (3247090)Time elapsed: 0.066 s
% 2.26/0.96 % (3247090)Peak memory usage: 13 MB
% 2.26/0.96 % (3247090)Instructions burned: 116 (million)
% 2.26/0.96 % (3247091)Instruction limit reached!
% 2.26/0.96 % (3247091)------------------------------
% 2.26/0.96 % (3247091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247091)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247091)Termination reason: Instruction limit
% 2.26/0.96 % (3247091)Termination phase: Saturation
% 2.26/0.96 % (3247091)Time elapsed: 0.077 s
% 2.26/0.96 % (3247091)Peak memory usage: 13 MB
% 2.26/0.96 % (3247091)Instructions burned: 132 (million)
% 2.26/0.96 % (3247104)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3028566743:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.26/0.96 % (3247092)Instruction limit reached!
% 2.26/0.96 % (3247092)------------------------------
% 2.26/0.96 % (3247092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247092)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247092)Termination reason: Instruction limit
% 2.26/0.96 % (3247092)Termination phase: Saturation
% 2.26/0.96 % (3247092)Time elapsed: 0.089 s
% 2.26/0.96 % (3247092)Peak memory usage: 13 MB
% 2.26/0.96 % (3247092)Instructions burned: 159 (million)
% 2.26/0.96 % TRYING [6]
% 2.26/0.96 % (3247105)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=3173034012:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.26/0.96 % (3247107)ott-21_1_sil=16000:fs=off:random_seed=1672309957:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.26/0.96 % TRYING [6]
% 2.26/0.96 % (3247104)Instruction limit reached!
% 2.26/0.96 % (3247104)------------------------------
% 2.26/0.96 % (3247104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247104)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247104)Termination reason: Instruction limit
% 2.26/0.96 % (3247104)Termination phase: Saturation
% 2.26/0.96 % (3247104)Time elapsed: 0.075 s
% 2.26/0.96 % (3247104)Peak memory usage: 12 MB
% 2.26/0.96 % (3247104)Instructions burned: 132 (million)
% 2.26/0.96 % (3247107)Instruction limit reached!
% 2.26/0.96 % (3247107)------------------------------
% 2.26/0.96 % (3247107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247107)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247107)Termination reason: Instruction limit
% 2.26/0.96 % (3247107)Termination phase: Saturation
% 2.26/0.96 % (3247107)Time elapsed: 0.082 s
% 2.26/0.96 % (3247107)Peak memory usage: 12 MB
% 2.26/0.96 % (3247107)Instructions burned: 181 (million)
% 2.26/0.96 % (3247110)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1104102798:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.26/0.96 % (3247111)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=473657853:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.26/0.96 % TRYING [1]
% 2.26/0.96 % TRYING [2]
% 2.26/0.96 % TRYING [3]
% 2.26/0.96 % TRYING [4]
% 2.26/0.96 % TRYING [5]
% 2.26/0.96 % (3247102)Instruction limit reached!
% 2.26/0.96 % (3247102)------------------------------
% 2.26/0.96 % (3247102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247102)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247102)Termination reason: Instruction limit
% 2.26/0.96 % (3247102)Termination phase: Finite model building SAT solving
% 2.26/0.96 % (3247102)Time elapsed: 0.226 s
% 2.26/0.96 % (3247102)Peak memory usage: 18 MB
% 2.26/0.96 % (3247102)Instructions burned: 715 (million)
% 2.26/0.96 % TRYING [6]
% 2.26/0.96 % (3247127)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2231650261:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.26/0.96 % (3247105)Instruction limit reached!
% 2.26/0.96 % (3247105)------------------------------
% 2.26/0.96 % (3247105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.96 % (3247105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.96 % (3247105)CaDiCaL version: 2.1.3
% 2.26/0.96 % (3247105)Termination reason: Instruction limit
% 2.26/0.96 % (3247105)Termination phase: Saturation
% 2.26/0.96 % (3247105)Time elapsed: 0.363 s
% 2.26/0.96 % (3247105)Peak memory usage: 17 MB
% 2.26/0.96 % (3247105)Instructions burned: 684 (million)
% 2.26/0.96 % (3247088) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3247077-3247088"...
% 2.26/0.96 % (3247088)...printing done.
% 2.26/0.96 % (3247088)Refutation found. Thanks to Tanya!
% 2.26/0.96 % SZS status Unsatisfiable for theBenchmark
% 2.26/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.97 % (3247088)------------------------------
% 2.26/0.97 % (3247088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.97 % (3247088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.97 % (3247088)CaDiCaL version: 2.1.3
% 2.26/0.97 % (3247088)Termination reason: Refutation
% 2.26/0.97 % (3247088)Time elapsed: 0.469 s
% 2.26/0.97 % (3247088)Peak memory usage: 19 MB
% 2.26/0.97 % (3247088)Instructions burned: 928 (million)
% 2.26/0.97 % (3247077)Success in time 0.512 s
% 2.26/0.97 % Vampire exiting
%------------------------------------------------------------------------------