%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP122-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:12:38 AM UTC 2026
% Result : Unsatisfiable 7.15s 2.11s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 3
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 214 ( 214 !; 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(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
fof(f5,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f6,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity))),
inference(superposition,[],[f1,f3]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,X3))),multiply(X3,multiply(X3,X3))),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,X3))),multiply(X3,multiply(X3,X3))))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f8,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(f9,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(forward_demodulation,[],[f9,f3]) ).
fof(f11,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)),
inference(forward_demodulation,[],[f6,f3]) ).
fof(f14,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,identity)))),
inference(superposition,[],[f1,f11]) ).
fof(f15,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(identity,identity))),
inference(forward_demodulation,[],[f14,f3]) ).
fof(f17,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)) = multiply(X0,multiply(multiply(X0,identity),identity)),
inference(forward_demodulation,[],[f15,f3]) ).
fof(f20,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(superposition,[],[f10,f3]) ).
fof(f22,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,[],[f10,f10]) ).
fof(f24,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),identity),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),identity),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),identity))))) = X2,
inference(superposition,[],[f1,f10]) ).
fof(f29,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(multiply(identity,X0),identity)),
inference(superposition,[],[f20,f20]) ).
fof(f37,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,[],[f29,f29]) ).
fof(f44,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(superposition,[],[f20,f29]) ).
fof(f53,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(forward_demodulation,[],[f44,f29]) ).
fof(f60,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
inference(forward_demodulation,[],[f37,f20]) ).
fof(f96,plain,
! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))))) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f114,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))))) = X0,
inference(forward_demodulation,[],[f96,f3]) ).
fof(f120,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))))) = X0,
inference(forward_demodulation,[],[f114,f3]) ).
fof(f134,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
inference(superposition,[],[f20,f60]) ).
fof(f218,plain,
! [X0] : multiply(identity,multiply(multiply(identity,identity),multiply(identity,X0))) = multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
inference(superposition,[],[f8,f3]) ).
fof(f235,plain,
! [X2,X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))),multiply(X2,multiply(X2,X2)))) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f236,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
inference(superposition,[],[f10,f8]) ).
fof(f244,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,[],[f5,f8]) ).
fof(f253,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f244,f3]) ).
fof(f254,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,identity),multiply(multiply(identity,identity),multiply(identity,identity))))),identity)) = X1,
inference(forward_demodulation,[],[f236,f3]) ).
fof(f262,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = multiply(identity,multiply(identity,multiply(identity,X0))),
inference(forward_demodulation,[],[f218,f3]) ).
fof(f274,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f253,f3]) ).
fof(f275,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity)) = X1,
inference(forward_demodulation,[],[f254,f3]) ).
fof(f293,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity)) = X1,
inference(forward_demodulation,[],[f275,f3]) ).
fof(f304,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(forward_demodulation,[],[f293,f3]) ).
fof(f324,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[],[f304,f11]) ).
fof(f346,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(forward_demodulation,[],[f324,f3]) ).
fof(f378,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,[],[f134,f274]) ).
fof(f389,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,[],[f378,f29]) ).
fof(f406,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(superposition,[],[f11,f346]) ).
fof(f469,plain,
! [X0] : identity = multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),multiply(identity,X0)),multiply(multiply(identity,multiply(X0,identity)),identity))),
inference(superposition,[],[f406,f134]) ).
fof(f495,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,[],[f469,f134]) ).
fof(f562,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(identity,identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(identity,identity)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(identity,identity)))))) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f621,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity))))) = X1,
inference(forward_demodulation,[],[f562,f3]) ).
fof(f634,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)))))) = X1,
inference(forward_demodulation,[],[f621,f346]) ).
fof(f1106,plain,
! [X0,X1] : multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[],[f20,f389]) ).
fof(f2713,plain,
! [X0] : multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity)),identity)),
inference(superposition,[],[f304,f262]) ).
fof(f2718,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))),
inference(forward_demodulation,[],[f2713,f304]) ).
fof(f2788,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,[],[f304,f2718]) ).
fof(f2793,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,[],[f2788,f304]) ).
fof(f2828,plain,
! [X0] : multiply(identity,multiply(X0,multiply(X0,X0))) = multiply(multiply(identity,X0),multiply(multiply(identity,X0),multiply(identity,X0))),
inference(superposition,[],[f2793,f2793]) ).
fof(f2831,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,multiply(X0,multiply(X0,X0))))),multiply(identity,X0))) = X1,
inference(superposition,[],[f5,f2793]) ).
fof(f3075,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(X0,X1))) = multiply(identity,multiply(multiply(identity,X0),multiply(identity,X1))),
inference(superposition,[],[f2831,f5]) ).
fof(f3366,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(identity,X1)) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),identity)),identity)),
inference(superposition,[],[f304,f3075]) ).
fof(f3371,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(forward_demodulation,[],[f3366,f304]) ).
fof(f3566,plain,
! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)) = multiply(X0,multiply(identity,X1)),
inference(superposition,[],[f3371,f53]) ).
fof(f4702,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,[],[f1106,f3566]) ).
fof(f4725,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,[],[f1106,f3566]) ).
fof(f4746,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,[],[f4725,f3371]) ).
fof(f4753,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,[],[f4702,f134]) ).
fof(f4795,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,[],[f4746,f3566]) ).
fof(f4802,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,[],[f4753,f29]) ).
fof(f4837,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,[],[f4795,f53]) ).
fof(f4840,plain,
! [X0,X1] : multiply(multiply(X0,identity),identity) = multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),
inference(forward_demodulation,[],[f4802,f60]) ).
fof(f4861,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,[],[f4837,f29]) ).
fof(f4877,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,[],[f4861,f3]) ).
fof(f4887,plain,
! [X0] : multiply(identity,identity) = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f4877,f3]) ).
fof(f4895,plain,
! [X0] : identity = multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f4887,f3]) ).
fof(f5217,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,[],[f495,f4895]) ).
fof(f5245,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,[],[f5217,f3075]) ).
fof(f5275,plain,
! [X0] : identity = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(forward_demodulation,[],[f5245,f53]) ).
fof(f5418,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))) = X0,
inference(forward_demodulation,[],[f120,f346]) ).
fof(f5952,plain,
! [X2,X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(forward_demodulation,[],[f235,f2793]) ).
fof(f6534,plain,
! [X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X0)) = multiply(X1,multiply(multiply(X1,identity),multiply(multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))),multiply(multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))))))))),
inference(superposition,[],[f8,f5418]) ).
fof(f6547,plain,
! [X0,X1] : multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X0)) = multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))))),
inference(forward_demodulation,[],[f6534,f2793]) ).
fof(f6583,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,[],[f6547,f5418]) ).
fof(f7179,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X1),identity)) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,identity))),
inference(superposition,[],[f6583,f22]) ).
fof(f7188,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,[],[f8,f6583]) ).
fof(f7246,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,[],[f7188,f2793]) ).
fof(f7548,plain,
! [X2,X0,X1] : multiply(multiply(X0,identity),multiply(X1,identity)) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),identity)),multiply(identity,X2))),multiply(X2,multiply(X2,X2)))),
inference(superposition,[],[f5952,f7179]) ).
fof(f7601,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(multiply(X0,identity),multiply(X1,identity)),
inference(forward_demodulation,[],[f7548,f5952]) ).
fof(f9386,plain,
! [X2,X3,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))),multiply(identity,X3))),multiply(X3,multiply(X3,X3)))),
inference(superposition,[],[f5952,f7246]) ).
fof(f9446,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(multiply(X0,identity),multiply(X1,X2)),
inference(forward_demodulation,[],[f9386,f5952]) ).
fof(f10030,plain,
! [X0] : identity = multiply(multiply(X0,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),
inference(superposition,[],[f9446,f5275]) ).
fof(f11386,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))),
inference(superposition,[],[f5,f10030]) ).
fof(f11404,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(multiply(identity,identity),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))),
inference(forward_demodulation,[],[f11386,f3]) ).
fof(f11429,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))))),
inference(forward_demodulation,[],[f11404,f3]) ).
fof(f11451,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f11429,f5418]) ).
fof(f11673,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = X0,
inference(superposition,[],[f20,f11451]) ).
fof(f11739,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,X0))) = X0,
inference(forward_demodulation,[],[f11673,f11451]) ).
fof(f12625,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),multiply(X1,identity)),multiply(multiply(multiply(X1,X1),multiply(X1,identity)),multiply(multiply(X1,X1),multiply(X1,identity)))))) = X1,
inference(forward_demodulation,[],[f634,f11451]) ).
fof(f12626,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),X1),multiply(multiply(multiply(X1,X1),X1),multiply(multiply(X1,X1),X1))))) = X1,
inference(forward_demodulation,[],[f12625,f11451]) ).
fof(f12627,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(X1,X1),X1),multiply(multiply(multiply(X1,X1),X1),multiply(multiply(X1,X1),X1))))) = X1,
inference(forward_demodulation,[],[f12626,f11451]) ).
fof(f12987,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0)))),multiply(multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0)))),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0))))))),
inference(superposition,[],[f2828,f12627]) ).
fof(f13010,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0)))),multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0)))),multiply(multiply(identity,identity),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0))))))),
inference(forward_demodulation,[],[f12987,f3]) ).
fof(f13069,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0)))),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0)))),multiply(identity,multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0))))))),
inference(forward_demodulation,[],[f13010,f3]) ).
fof(f13110,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0))),multiply(multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0))),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(multiply(X0,X0),X0),multiply(multiply(X0,X0),X0))))))),
inference(forward_demodulation,[],[f13069,f2828]) ).
fof(f13141,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),X0)))),
inference(forward_demodulation,[],[f13110,f262]) ).
fof(f13162,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(X0,X0),X0),
inference(forward_demodulation,[],[f13141,f11739]) ).
fof(f15288,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))) = X0,
inference(superposition,[],[f12627,f13162]) ).
fof(f15475,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,X1)),multiply(identity,X0))) = X0,
inference(forward_demodulation,[],[f15288,f2793]) ).
fof(f15558,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X1,identity),multiply(multiply(X1,X1),X0))) = X0,
inference(forward_demodulation,[],[f15475,f7246]) ).
fof(f15625,plain,
! [X0,X1] : multiply(X1,multiply(X1,multiply(multiply(X1,X1),X0))) = X0,
inference(forward_demodulation,[],[f15558,f11451]) ).
fof(f15816,plain,
! [X0] : multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(identity,multiply(X0,multiply(X0,X0))),identity),identity))) = X0,
inference(superposition,[],[f15625,f4840]) ).
fof(f16041,plain,
! [X0] : multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),identity))) = X0,
inference(forward_demodulation,[],[f15816,f11451]) ).
fof(f16135,plain,
! [X0] : multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(multiply(identity,multiply(X0,multiply(X0,X0))),multiply(identity,multiply(X0,multiply(X0,X0))))) = X0,
inference(forward_demodulation,[],[f16041,f11451]) ).
fof(f16198,plain,
! [X0] : multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))) = X0,
inference(forward_demodulation,[],[f16135,f2828]) ).
fof(f16234,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[],[f16198,f2793]) ).
fof(f16428,plain,
! [X0] : multiply(multiply(identity,identity),X0) = X0,
inference(superposition,[],[f15625,f16234]) ).
fof(f16463,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f16428,f3]) ).
fof(f17908,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),identity),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity)))),identity)))) = X2,
inference(forward_demodulation,[],[f24,f7601]) ).
fof(f17909,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),multiply(multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))))),identity))) = X2,
inference(forward_demodulation,[],[f17908,f7601]) ).
fof(f17910,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))),multiply(X2,multiply(multiply(X2,X2),multiply(X0,identity))))))) = X2,
inference(forward_demodulation,[],[f17909,f11451]) ).
fof(f17911,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),multiply(multiply(X2,multiply(multiply(X2,X2),X0)),multiply(multiply(X2,multiply(multiply(X2,X2),X0)),multiply(X2,multiply(multiply(X2,X2),X0)))))) = X2,
inference(forward_demodulation,[],[f17910,f11451]) ).
fof(f17991,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X1,multiply(multiply(X1,X1),identity)))))) = X1,
inference(superposition,[],[f17911,f17]) ).
fof(f18282,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))))) = X1,
inference(forward_demodulation,[],[f17991,f11451]) ).
fof(f18492,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),multiply(identity,X1))) = X1,
inference(forward_demodulation,[],[f18282,f2793]) ).
fof(f18672,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),multiply(multiply(multiply(X0,identity),identity),X1))) = X1,
inference(forward_demodulation,[],[f18492,f9446]) ).
fof(f18822,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),multiply(multiply(X0,identity),X1))) = X1,
inference(forward_demodulation,[],[f18672,f11451]) ).
fof(f18938,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X0,multiply(X0,X1))) = X1,
inference(forward_demodulation,[],[f18822,f11451]) ).
fof(f22596,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(multiply(X0,X0),multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))))),
inference(superposition,[],[f18938,f8]) ).
fof(f22824,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(multiply(X0,X0),multiply(X0,multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))))),
inference(forward_demodulation,[],[f22596,f6583]) ).
fof(f22941,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(multiply(X0,identity),multiply(X1,X2)),
inference(forward_demodulation,[],[f22824,f18938]) ).
fof(f23026,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f22941,f11451]) ).
fof(f23086,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f23026,f2793]) ).
fof(f23118,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f23086,f16463]) ).
fof(f29540,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(superposition,[],[f4,f23118]) ).
fof(f29778,plain,
$false,
inference(trivial_inequality_removal,[],[f29540]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP122-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.59 % Computer : n002.cluster.edu
% 0.13/0.59 % Model : x86_64 x86_64
% 0.13/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.59 % Memory : 8046.5625MB
% 0.13/0.59 % OS : Linux 6.8.0-71-generic
% 0.13/0.59 % CPULimit : 300
% 0.13/0.59 % WCLimit : 300
% 0.13/0.59 % DateTime : Sun Sep 27 09:22:38 UTC 2026
% 0.13/0.60 % CPUTime :
% 0.13/0.60 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.63 Running first-order theorem proving
% 0.17/0.63 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
% 7.15/2.11 % (3278751)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.15/2.11 % (3278821)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1620179734:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.15/2.11 % (3278819)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=1255491642:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.15/2.11 % (3278818)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=715231740:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.15/2.11 % (3278826)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1968817790:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.15/2.11 % (3278823)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3763528180:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.15/2.11 % (3278824)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=262712282:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.15/2.11 % (3278825)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1043340791:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.15/2.11 % (3278823)Instruction limit reached!
% 7.15/2.11 % (3278823)------------------------------
% 7.15/2.11 % (3278823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/2.11 % (3278823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/2.11 % (3278823)CaDiCaL version: 2.1.3
% 7.15/2.11 % (3278823)Termination reason: Instruction limit
% 7.15/2.11 % (3278823)Termination phase: Saturation
% 7.15/2.11 % (3278823)Time elapsed: 0.080 s
% 7.15/2.11 % (3278823)Peak memory usage: 89 MB
% 7.15/2.11 % (3278823)Instructions burned: 137 (million)
% 7.15/2.11 % (3278824)Instruction limit reached!
% 7.15/2.11 % (3278824)------------------------------
% 7.15/2.11 % (3278824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/2.11 % (3278824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/2.11 % (3278824)CaDiCaL version: 2.1.3
% 7.15/2.11 % (3278824)Termination reason: Instruction limit
% 7.15/2.11 % (3278824)Termination phase: Saturation
% 7.15/2.11 % (3278824)Time elapsed: 0.097 s
% 7.15/2.11 % (3278824)Peak memory usage: 89 MB
% 7.15/2.11 % (3278824)Instructions burned: 183 (million)
% 7.15/2.11 % (3278825)Instruction limit reached!
% 7.15/2.11 % (3278825)------------------------------
% 7.15/2.11 % (3278825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/2.11 % (3278825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/2.11 % (3278825)CaDiCaL version: 2.1.3
% 7.15/2.11 % (3278825)Termination reason: Instruction limit
% 7.15/2.11 % (3278825)Termination phase: Saturation
% 7.15/2.11 % (3278825)Time elapsed: 0.146 s
% 7.15/2.11 % (3278825)Peak memory usage: 91 MB
% 7.15/2.11 % (3278825)Instructions burned: 258 (million)
% 7.15/2.11 % (3278896)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4048314826:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 7.15/2.11 % (3278900)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2921294972:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 7.15/2.11 % (3278920)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1053264207:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 7.15/2.11 % (3278920)Instruction limit reached!
% 7.15/2.11 % (3278920)------------------------------
% 7.15/2.11 % (3278920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/2.11 % (3278920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/2.11 % (3278920)CaDiCaL version: 2.1.3
% 7.15/2.11 % (3278920)Termination reason: Instruction limit
% 7.15/2.11 % (3278920)Termination phase: Saturation
% 7.15/2.11 % (3278920)Time elapsed: 0.116 s
% 7.15/2.11 % (3278920)Peak memory usage: 89 MB
% 7.15/2.11 % (3278920)Instructions burned: 216 (million)
% 7.15/2.11 % (3278968)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=1568542241:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 7.15/2.11 % (3278826)First to succeed.
% 7.15/2.11 % (3278826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3278751"
% 7.15/2.11 % (3278968)Instruction limit reached!
% 7.15/2.11 % (3278968)------------------------------
% 7.15/2.11 % (3278968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.15/2.11 % (3278968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/2.11 % (3278968)CaDiCaL version: 2.1.3
% 7.15/2.11 % (3278968)Termination reason: Instruction limit
% 7.15/2.11 % (3278968)Termination phase: Saturation
% 7.15/2.11 % (3278968)Time elapsed: 0.177 s
% 7.15/2.11 % (3278968)Peak memory usage: 92 MB
% 7.15/2.11 % (3278968)Instructions burned: 319 (million)
% 7.15/2.11 % (3278826)Refutation found. Thanks to Tanya!
% 7.15/2.11 % SZS status Unsatisfiable for theBenchmark
% 7.15/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.30 % (3278826)------------------------------
% 0.19/2.30 % (3278826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.30 % (3278826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.30 % (3278826)CaDiCaL version: 2.1.3
% 0.19/2.30 % (3278826)Termination reason: Refutation
% 0.19/2.30 % (3278826)Time elapsed: 0.593 s
% 0.19/2.30 % (3278826)Peak memory usage: 97 MB
% 0.19/2.30 % (3278826)Instructions burned: 1090 (million)
% 0.19/2.30 % (3278826)------------------------------
% 0.19/2.30 % (3278826)------------------------------
% 0.19/2.30 % (3278751)Success in time 1.04 s
% 0.19/2.30 % Vampire exiting
%------------------------------------------------------------------------------