%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP196-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:13:18 AM UTC 2026
% Result : Unsatisfiable 45.92s 8.25s
% Output : Refutation 52.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 4
% Syntax : Number of formulae : 75 ( 75 unt; 1 def)
% Number of atoms : 75 ( 62 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 251 ( 251 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,multiply(X1,multiply(X1,X1))) = multiply(X1,multiply(X1,multiply(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f3,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))))))))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,b))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f4,definition,
~ sP0(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))))))))))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f5,plain,
sP0(multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,b)))))))))))))))))),
inference(inequality_splitting,[],[f3,f4]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,X2)))) = multiply(X1,multiply(X2,multiply(X0,multiply(X0,X0)))),
inference(superposition,[],[f1,f2]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,X0)),X2)) = multiply(multiply(X0,multiply(X1,multiply(X1,X1))),X2),
inference(superposition,[],[f1,f2]) ).
fof(f20,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),multiply(multiply(X1,X2),multiply(X1,X2)))) = multiply(X1,multiply(X2,multiply(multiply(X1,X2),multiply(multiply(X1,X2),X0)))),
inference(superposition,[],[f1,f2]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),multiply(multiply(X1,X2),multiply(X1,X2)))) = multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(multiply(X1,X2),X0))))),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,X0)),X2)) = multiply(X0,multiply(multiply(X1,multiply(X1,X1)),X2)),
inference(forward_demodulation,[],[f19,f1]) ).
fof(f31,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),multiply(multiply(X1,X2),multiply(X1,X2)))) = multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X0)))))),
inference(forward_demodulation,[],[f21,f1]) ).
fof(f32,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,X0)),X2)) = multiply(X0,multiply(X1,multiply(multiply(X1,X1),X2))),
inference(forward_demodulation,[],[f22,f1]) ).
fof(f41,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X0)))))) = multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X1,X2),multiply(X1,X2))))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f42,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,X0)),X2)) = multiply(X0,multiply(X1,multiply(X1,multiply(X1,X2)))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X0)))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f51,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,X2)))) = multiply(X1,multiply(X1,multiply(multiply(X1,X0),X2))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f59,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,X2)))) = multiply(X1,multiply(X1,multiply(X1,multiply(X0,X2)))),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f83,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X0,multiply(X1,multiply(X2,multiply(X2,X2))))) = multiply(X2,multiply(X2,multiply(X2,multiply(X3,multiply(X0,X1))))),
inference(superposition,[],[f18,f1]) ).
fof(f89,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(X2,multiply(X3,multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X0,X1))))),
inference(superposition,[],[f1,f18]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(multiply(X2,X3),multiply(X0,X1)))))),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f127,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X0,X1))))))),
inference(forward_demodulation,[],[f102,f1]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X0,X1))))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(multiply(X2,X3),multiply(X2,X3)))))),
inference(forward_demodulation,[],[f127,f1]) ).
fof(f163,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X0,X1))))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X2,multiply(X3,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f247,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),X3)))))) = multiply(X3,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1)))))))),
inference(superposition,[],[f50,f1]) ).
fof(f259,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)) = multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))))),X3),
inference(superposition,[],[f1,f50]) ).
fof(f263,plain,
~ sP0(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,b)))))))))))))))))),
inference(superposition,[],[f4,f50]) ).
fof(f264,plain,
~ sP0(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,b))))),multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,a))))))))))))),
inference(forward_demodulation,[],[f263,f163]) ).
fof(f267,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)) = multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))),X3)),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f277,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),X3)))))) = multiply(X3,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X1))))))))),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f309,plain,
~ sP0(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(multiply(a,multiply(b,multiply(a,multiply(b,b)))),multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,a)))))))))))))),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f312,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)) = multiply(X0,multiply(X1,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))),X3))),
inference(forward_demodulation,[],[f267,f1]) ).
fof(f322,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),X3))))))) = multiply(X3,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X1))))))))),
inference(forward_demodulation,[],[f277,f1]) ).
fof(f351,plain,
~ sP0(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,b)))))))))))))))))),
inference(forward_demodulation,[],[f309,f163]) ).
fof(f354,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)) = multiply(X0,multiply(X1,multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,X2))),X3)))),
inference(forward_demodulation,[],[f312,f1]) ).
fof(f362,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X1))))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),X3)))))))),
inference(forward_demodulation,[],[f322,f1]) ).
fof(f390,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)) = multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(multiply(X0,multiply(X1,X2)),X3))))),
inference(forward_demodulation,[],[f354,f1]) ).
fof(f398,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X1))))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,X3))))))))),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f424,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)) = multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(multiply(X1,X2),X3)))))),
inference(forward_demodulation,[],[f390,f1]) ).
fof(f449,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))) = multiply(X2,multiply(multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),X3)),
inference(forward_demodulation,[],[f424,f1]) ).
fof(f462,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))) = multiply(X2,multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X3))),
inference(forward_demodulation,[],[f449,f1]) ).
fof(f475,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(multiply(X0,multiply(X1,multiply(X0,X1))),X3)))),
inference(forward_demodulation,[],[f462,f1]) ).
fof(f488,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,multiply(multiply(X1,multiply(X0,X1)),X3))))),
inference(forward_demodulation,[],[f475,f1]) ).
fof(f501,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(multiply(X0,X1),X3)))))),
inference(forward_demodulation,[],[f488,f1]) ).
fof(f514,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f501,f1]) ).
fof(f586,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X3,multiply(X1,multiply(X1,multiply(X0,X2))))))) = multiply(X3,multiply(X1,multiply(X1,multiply(X0,multiply(X1,multiply(X1,multiply(X1,X2))))))),
inference(superposition,[],[f59,f59]) ).
fof(f594,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X3,multiply(X1,multiply(X0,X2)))))) = multiply(X3,multiply(X1,multiply(X0,multiply(X1,multiply(X1,multiply(X1,X2)))))),
inference(superposition,[],[f59,f59]) ).
fof(f5554,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,X3))))))))),X4),
inference(superposition,[],[f1,f398]) ).
fof(f5573,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,X3)))))))),X4)),
inference(forward_demodulation,[],[f5554,f1]) ).
fof(f5743,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,X3))))))),X4))),
inference(forward_demodulation,[],[f5573,f1]) ).
fof(f5902,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,X3)))))),X4)))),
inference(forward_demodulation,[],[f5743,f1]) ).
fof(f6045,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,X3))))),X4))))),
inference(forward_demodulation,[],[f5902,f1]) ).
fof(f6173,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,X3)))),X4)))))),
inference(forward_demodulation,[],[f6045,f1]) ).
fof(f6287,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(multiply(X3,multiply(X1,multiply(X2,X3))),X4))))))),
inference(forward_demodulation,[],[f6173,f1]) ).
fof(f6385,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(multiply(X1,multiply(X2,X3)),X4)))))))),
inference(forward_demodulation,[],[f6287,f1]) ).
fof(f6474,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(multiply(X2,X3),X4))))))))),
inference(forward_demodulation,[],[f6385,f1]) ).
fof(f6552,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))))),X4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))),
inference(forward_demodulation,[],[f6474,f1]) ).
fof(f6624,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(X2,multiply(multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0))))))),X4))) = multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))),
inference(forward_demodulation,[],[f6552,f1]) ).
fof(f6696,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))))),X4)))),
inference(forward_demodulation,[],[f6624,f1]) ).
fof(f6767,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0))))),X4))))),
inference(forward_demodulation,[],[f6696,f1]) ).
fof(f6832,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(multiply(X3,multiply(X1,multiply(X2,multiply(X3,X0)))),X4)))))),
inference(forward_demodulation,[],[f6767,f1]) ).
fof(f6897,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(multiply(X1,multiply(X2,multiply(X3,X0))),X4))))))),
inference(forward_demodulation,[],[f6832,f1]) ).
fof(f6960,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(multiply(X2,multiply(X3,X0)),X4)))))))),
inference(forward_demodulation,[],[f6897,f1]) ).
fof(f7022,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(multiply(X3,X0),X4))))))))),
inference(forward_demodulation,[],[f6960,f1]) ).
fof(f7080,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,X4)))))))))) = multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X2,multiply(X3,multiply(X0,X4)))))))))),
inference(forward_demodulation,[],[f7022,f1]) ).
fof(f8065,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(X1,multiply(X1,multiply(X1,X3)))))) = multiply(X0,multiply(X1,multiply(multiply(X2,X3),multiply(X1,multiply(X1,X1))))),
inference(superposition,[],[f83,f594]) ).
fof(f8208,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X1,X1)))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X1,multiply(X1,multiply(X1,X3)))))),
inference(forward_demodulation,[],[f8065,f1]) ).
fof(f11578,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X1,multiply(X1,multiply(X4,multiply(X1,multiply(X1,multiply(X5,multiply(X2,multiply(X3,multiply(X0,multiply(X0,X0))))))))))) = multiply(X4,multiply(X1,multiply(X1,multiply(X5,multiply(X1,multiply(X1,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X2,X3))))))))))),
inference(superposition,[],[f586,f83]) ).
fof(f23306,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(X2,multiply(X2,multiply(X4,multiply(X2,multiply(X2,multiply(X5,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X3))))))))))))) = multiply(X4,multiply(X2,multiply(X2,multiply(X5,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X3))))))))))))),
inference(superposition,[],[f586,f514]) ).
fof(f23331,plain,
~ sP0(multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))))))))))))),
inference(superposition,[],[f351,f514]) ).
fof(f23334,plain,
~ sP0(multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))))))))))))),
inference(forward_demodulation,[],[f23331,f7080]) ).
fof(f23447,plain,
~ sP0(multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))))))))))))),
inference(forward_demodulation,[],[f23334,f7080]) ).
fof(f23544,plain,
~ sP0(multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(multiply(b,multiply(a,multiply(b,b))),multiply(b,multiply(b,b))))))))))))))),
inference(forward_demodulation,[],[f23447,f11578]) ).
fof(f23632,plain,
~ sP0(multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))))))))))))),
inference(forward_demodulation,[],[f23544,f8208]) ).
fof(f23715,plain,
~ sP0(multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,b)))))))))))))))))),
inference(forward_demodulation,[],[f23632,f23306]) ).
fof(f23796,plain,
$false,
inference(forward_subsumption_resolution,[],[f23715,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP196-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:37:20 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.92/8.25 % (2836497)Detected a unit-equality problem, will run specialized UEQ schedule.
% 45.92/8.25 % (2836518)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1890925819:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 45.92/8.25 % (2836514)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2446780101:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 45.92/8.25 % (2836515)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2218882808:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 45.92/8.25 % (2836516)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=319453661:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 45.92/8.25 % (2836517)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1285698692:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 45.92/8.25 % (2836519)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3540901021:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 45.92/8.25 % (2836520)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2210876668:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 45.92/8.25 % (2836518)Instruction limit reached!
% 45.92/8.25 % (2836518)------------------------------
% 45.92/8.25 % (2836518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836518)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836518)Termination reason: Instruction limit
% 45.92/8.25 % (2836518)Termination phase: Saturation
% 45.92/8.25 % (2836518)Time elapsed: 0.080 s
% 45.92/8.25 % (2836518)Peak memory usage: 89 MB
% 45.92/8.25 % (2836518)Instructions burned: 183 (million)
% 45.92/8.25 % (2836517)Instruction limit reached!
% 45.92/8.25 % (2836517)------------------------------
% 45.92/8.25 % (2836517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836517)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836517)Termination reason: Instruction limit
% 45.92/8.25 % (2836517)Termination phase: Saturation
% 45.92/8.25 % (2836517)Time elapsed: 0.118 s
% 45.92/8.25 % (2836517)Peak memory usage: 89 MB
% 45.92/8.25 % (2836517)Instructions burned: 136 (million)
% 45.92/8.25 % (2836528)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3200385941:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 45.92/8.25 % (2836519)Instruction limit reached!
% 45.92/8.25 % (2836519)------------------------------
% 45.92/8.25 % (2836519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836519)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836519)Termination reason: Instruction limit
% 45.92/8.25 % (2836519)Termination phase: Saturation
% 45.92/8.25 % (2836519)Time elapsed: 0.221 s
% 45.92/8.25 % (2836519)Peak memory usage: 91 MB
% 45.92/8.25 % (2836519)Instructions burned: 258 (million)
% 45.92/8.25 % (2836529)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1900574087:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 45.92/8.25 % (2836535)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2262128401:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 45.92/8.25 % (2836535)Instruction limit reached!
% 45.92/8.25 % (2836535)------------------------------
% 45.92/8.25 % (2836535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836535)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836535)Termination reason: Instruction limit
% 45.92/8.25 % (2836535)Termination phase: Saturation
% 45.92/8.25 % (2836535)Time elapsed: 0.160 s
% 45.92/8.25 % (2836535)Peak memory usage: 89 MB
% 45.92/8.25 % (2836535)Instructions burned: 216 (million)
% 45.92/8.25 % (2836538)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=497034128:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 45.92/8.25 % (2836520)Instruction limit reached!
% 45.92/8.25 % (2836520)------------------------------
% 45.92/8.25 % (2836520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836520)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836520)Termination reason: Instruction limit
% 45.92/8.25 % (2836520)Termination phase: Saturation
% 45.92/8.25 % (2836520)Time elapsed: 0.930 s
% 45.92/8.25 % (2836520)Peak memory usage: 95 MB
% 45.92/8.25 % (2836520)Instructions burned: 1187 (million)
% 45.92/8.25 % (2836538)Instruction limit reached!
% 45.92/8.25 % (2836538)------------------------------
% 45.92/8.25 % (2836538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836538)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836538)Termination reason: Instruction limit
% 45.92/8.25 % (2836538)Termination phase: Saturation
% 45.92/8.25 % (2836538)Time elapsed: 0.313 s
% 45.92/8.25 % (2836538)Peak memory usage: 94 MB
% 45.92/8.25 % (2836538)Instructions burned: 319 (million)
% 45.92/8.25 % (2836542)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2727046617:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 45.92/8.25 % (2836528)Instruction limit reached!
% 45.92/8.25 % (2836528)------------------------------
% 45.92/8.25 % (2836528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836528)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836528)Termination reason: Instruction limit
% 45.92/8.25 % (2836528)Termination phase: Saturation
% 45.92/8.25 % (2836528)Time elapsed: 1.097 s
% 45.92/8.25 % (2836528)Peak memory usage: 136 MB
% 45.92/8.25 % (2836528)Instructions burned: 2052 (million)
% 45.92/8.25 % (2836543)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2159685313:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 45.92/8.25 % (2836545)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=921919266:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2985 on theBenchmark for (2985ds/14534Mi)
% 45.92/8.25 % (2836543)Instruction limit reached!
% 45.92/8.25 % (2836543)------------------------------
% 45.92/8.25 % (2836543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836543)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836543)Termination reason: Instruction limit
% 45.92/8.25 % (2836543)Termination phase: Saturation
% 45.92/8.25 % (2836543)Time elapsed: 2.936 s
% 45.92/8.25 % (2836543)Peak memory usage: 122 MB
% 45.92/8.25 % (2836543)Instructions burned: 2836 (million)
% 45.92/8.25 % (2836552)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=928435072:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2955 on theBenchmark for (2955ds/11832Mi)
% 45.92/8.25 % (2836529)Instruction limit reached!
% 45.92/8.25 % (2836529)------------------------------
% 45.92/8.25 % (2836529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.92/8.25 % (2836529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.92/8.25 % (2836529)CaDiCaL version: 2.1.3
% 45.92/8.25 % (2836529)Termination reason: Instruction limit
% 45.92/8.25 % (2836529)Termination phase: Saturation
% 45.92/8.25 % (2836529)Time elapsed: 4.786 s
% 45.92/8.25 % (2836529)Peak memory usage: 151 MB
% 45.92/8.25 % (2836529)Instructions burned: 4948 (million)
% 45.92/8.25 % (2836554)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=644562467:i=2279:fgj=on:bd=all_2946 on theBenchmark for (2946ds/2279Mi)
% 45.92/8.25 % (2836545)First to succeed.
% 45.92/8.25 % (2836545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2836497"
% 45.92/8.25 % (2836545)Refutation found. Thanks to Tanya!
% 45.92/8.25 % SZS status Unsatisfiable for theBenchmark
% 45.92/8.25 % SZS output start Proof for theBenchmark
% See solution above
% 52.11/8.45 % (2836545)------------------------------
% 52.11/8.45 % (2836545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.11/8.45 % (2836545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/8.45 % (2836545)CaDiCaL version: 2.1.3
% 52.11/8.45 % (2836545)Termination reason: Refutation
% 52.11/8.45 % (2836545)Time elapsed: 5.314 s
% 52.11/8.45 % (2836545)Peak memory usage: 194 MB
% 52.11/8.45 % (2836545)Instructions burned: 9959 (million)
% 52.11/8.45 % (2836545)------------------------------
% 52.11/8.45 % (2836545)------------------------------
% 52.11/8.45 % (2836497)Success in time 7.249 s
% 52.11/8.45 % Vampire exiting
%------------------------------------------------------------------------------