%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP122-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 4.82s 6.15s
% Output : Refutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 3
% Syntax : Number of formulae : 149 ( 149 unt; 0 def)
% Number of atoms : 149 ( 148 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 12 ( 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 : 229 ( 229 !; 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox2/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/sandbox2/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(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(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(X0,identity)) = multiply(multiply(identity,X0),identity),
inference(superposition,[],[f20,f60]) ).
fof(f115,plain,
! [X0,X1] : multiply(X0,identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1))),identity)),
inference(superposition,[],[f96,f1]) ).
fof(f126,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X0,identity)))),identity)),
inference(superposition,[],[f10,f96]) ).
fof(f137,plain,
! [X0,X1] : multiply(X0,identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),identity)),
inference(forward_demodulation,[],[f115,f3]) ).
fof(f213,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,[],[f126,f20]) ).
fof(f260,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),identity)),identity)),
inference(superposition,[],[f11,f17]) ).
fof(f613,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(superposition,[],[f10,f22]) ).
fof(f629,plain,
! [X0,X1] : multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(superposition,[],[f613,f5]) ).
fof(f633,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,[],[f613,f1]) ).
fof(f636,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)),
inference(superposition,[],[f613,f11]) ).
fof(f637,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,[],[f613,f213]) ).
fof(f667,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,[],[f637,f96]) ).
fof(f668,plain,
! [X0] : multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity) = multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),
inference(forward_demodulation,[],[f636,f3]) ).
fof(f673,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,[],[f629,f96]) ).
fof(f681,plain,
! [X0,X1] : multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,X0),identity)),
inference(forward_demodulation,[],[f667,f20]) ).
fof(f684,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,[],[f673,f3]) ).
fof(f703,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))) = X0,
inference(superposition,[],[f613,f668]) ).
fof(f880,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
inference(superposition,[],[f10,f681]) ).
fof(f882,plain,
! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))),
inference(superposition,[],[f213,f681]) ).
fof(f1442,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,[],[f684,f5]) ).
fof(f1456,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(superposition,[],[f684,f53]) ).
fof(f1474,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f1456,f29]) ).
fof(f1488,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,[],[f1442,f60]) ).
fof(f1515,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f1474,f3]) ).
fof(f1547,plain,
! [X0] : multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f1515,f3]) ).
fof(f1570,plain,
! [X0] : multiply(identity,identity) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f1547,f3]) ).
fof(f1584,plain,
! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
inference(forward_demodulation,[],[f1570,f3]) ).
fof(f2416,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,[],[f633,f703]) ).
fof(f2470,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,[],[f2416,f613]) ).
fof(f2669,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,[],[f1488,f3]) ).
fof(f2693,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,[],[f137,f1488]) ).
fof(f2721,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,[],[f2693,f29]) ).
fof(f3102,plain,
! [X0,X1] : multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[],[f20,f2721]) ).
fof(f3189,plain,
! [X0] : multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)) = multiply(multiply(identity,X0),multiply(multiply(X0,identity),identity)),
inference(superposition,[],[f3102,f2470]) ).
fof(f3626,plain,
! [X0] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity)),
inference(superposition,[],[f613,f2669]) ).
fof(f3635,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,[],[f3626,f613]) ).
fof(f3668,plain,
! [X0,X1] : multiply(identity,multiply(X1,X0)) = multiply(multiply(identity,X1),multiply(identity,X0)),
inference(superposition,[],[f1488,f3635]) ).
fof(f3669,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,multiply(X0,multiply(X0,X0))))),multiply(identity,X0))) = X2,
inference(superposition,[],[f1,f3635]) ).
fof(f3697,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
inference(superposition,[],[f3668,f53]) ).
fof(f3721,plain,
! [X0,X1] : multiply(multiply(identity,X1),X0) = multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),
inference(superposition,[],[f3668,f53]) ).
fof(f3786,plain,
! [X0,X1] : multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(multiply(multiply(identity,X0),X1),identity)),identity)) = X1,
inference(superposition,[],[f613,f3668]) ).
fof(f3798,plain,
! [X0,X1] : multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),multiply(X1,identity)),identity))) = X1,
inference(superposition,[],[f880,f3668]) ).
fof(f4551,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,[],[f3102,f3697]) ).
fof(f4592,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,[],[f4551,f96]) ).
fof(f4633,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,[],[f4592,f29]) ).
fof(f4667,plain,
! [X0,X1] : multiply(multiply(X0,identity),identity) = multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),
inference(forward_demodulation,[],[f4633,f60]) ).
fof(f4738,plain,
! [X0,X1] : multiply(multiply(X1,identity),identity) = multiply(multiply(X1,multiply(identity,multiply(identity,X0))),multiply(X0,multiply(X0,X0))),
inference(superposition,[],[f4667,f3635]) ).
fof(f4745,plain,
! [X0,X1] : multiply(multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(identity,multiply(X1,multiply(X1,X1))))))),identity),identity) = multiply(multiply(multiply(X0,identity),identity),X1),
inference(superposition,[],[f4667,f4667]) ).
fof(f4861,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),identity),X1) = multiply(multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X1,X1))),multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))))),identity),identity),
inference(forward_demodulation,[],[f4745,f3668]) ).
fof(f4918,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),identity),X1) = multiply(multiply(multiply(X0,multiply(identity,multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))))),identity),identity),
inference(forward_demodulation,[],[f4861,f3668]) ).
fof(f4969,plain,
! [X0,X1] : multiply(multiply(multiply(X0,identity),identity),X1) = multiply(multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,X1)))),identity),identity),
inference(forward_demodulation,[],[f4918,f2669]) ).
fof(f6483,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))))),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))),
inference(superposition,[],[f3669,f3697]) ).
fof(f6627,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))))),X0)),
inference(forward_demodulation,[],[f6483,f53]) ).
fof(f6684,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))))),X0)),
inference(forward_demodulation,[],[f6627,f3697]) ).
fof(f6733,plain,
! [X0,X1] : identity = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,multiply(X0,X0)))),X0)),
inference(forward_demodulation,[],[f6684,f53]) ).
fof(f6885,plain,
! [X0] : identity = multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity))),
inference(superposition,[],[f6733,f1584]) ).
fof(f7170,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity)),
inference(superposition,[],[f613,f6885]) ).
fof(f7217,plain,
! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,identity),multiply(multiply(multiply(X0,X0),identity),identity)),
inference(forward_demodulation,[],[f7170,f3]) ).
fof(f9084,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,identity),identity),identity)),identity)),
inference(superposition,[],[f3786,f4738]) ).
fof(f9167,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(identity,multiply(identity,identity)),identity)),identity)),
inference(forward_demodulation,[],[f9084,f96]) ).
fof(f9252,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(multiply(identity,identity),identity))),identity)),
inference(forward_demodulation,[],[f9167,f96]) ).
fof(f9329,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,identity),identity))),identity)),
inference(forward_demodulation,[],[f9252,f3668]) ).
fof(f9399,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,identity),identity)),identity))),
inference(forward_demodulation,[],[f9329,f96]) ).
fof(f9458,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(multiply(identity,identity),identity)),identity))),
inference(forward_demodulation,[],[f9399,f3668]) ).
fof(f9506,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,identity))),identity))),
inference(forward_demodulation,[],[f9458,f96]) ).
fof(f9542,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(multiply(identity,multiply(multiply(identity,X0),multiply(identity,identity))),identity))),
inference(forward_demodulation,[],[f9506,f3668]) ).
fof(f9567,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,multiply(multiply(multiply(identity,X0),multiply(identity,identity)),identity)))),
inference(forward_demodulation,[],[f9542,f96]) ).
fof(f9587,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))),
inference(forward_demodulation,[],[f9567,f3668]) ).
fof(f9605,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),
inference(forward_demodulation,[],[f9587,f29]) ).
fof(f9619,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f9605,f3721]) ).
fof(f9632,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f9619,f3668]) ).
fof(f9642,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0),
inference(forward_demodulation,[],[f9632,f3668]) ).
fof(f10731,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(multiply(identity,multiply(multiply(multiply(X0,X0),identity),identity)),identity))),
inference(superposition,[],[f3798,f3189]) ).
fof(f10791,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,X0),multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity)))),
inference(forward_demodulation,[],[f10731,f96]) ).
fof(f10855,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,X0),multiply(identity,multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity)))),
inference(forward_demodulation,[],[f10791,f3668]) ).
fof(f10914,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity)))),
inference(forward_demodulation,[],[f10855,f3668]) ).
fof(f17301,plain,
! [X0] : multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity),identity),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity),identity)),
inference(superposition,[],[f7217,f4969]) ).
fof(f17356,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),multiply(multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity)),
inference(forward_demodulation,[],[f17301,f96]) ).
fof(f17392,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),identity),identity)),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),identity),identity))),
inference(forward_demodulation,[],[f17356,f96]) ).
fof(f17425,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity)),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity))),
inference(forward_demodulation,[],[f17392,f96]) ).
fof(f17455,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))),
inference(forward_demodulation,[],[f17425,f29]) ).
fof(f17482,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(X0,X0)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(identity,multiply(identity,multiply(identity,X0)))),X0),
inference(forward_demodulation,[],[f17455,f60]) ).
fof(f17502,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),identity))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17482,f3668]) ).
fof(f17518,plain,
! [X0] : multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),multiply(identity,multiply(identity,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17502,f29]) ).
fof(f17529,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17518,f3668]) ).
fof(f17539,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17529,f3668]) ).
fof(f17548,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X0,X0)),
inference(forward_demodulation,[],[f17539,f9642]) ).
fof(f17620,plain,
! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity) = multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,multiply(X0,X0)))),multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(X0,X0)))),identity)),
inference(superposition,[],[f137,f17548]) ).
fof(f17631,plain,
! [X0] : multiply(X0,identity) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity),
inference(forward_demodulation,[],[f17620,f137]) ).
fof(f17674,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)),
inference(forward_demodulation,[],[f17631,f96]) ).
fof(f17713,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f17674,f20]) ).
fof(f18021,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity)))) = X1,
inference(superposition,[],[f10,f17713]) ).
fof(f18034,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X0,identity)),identity)),
inference(superposition,[],[f260,f17713]) ).
fof(f18063,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = X0,
inference(superposition,[],[f20,f17713]) ).
fof(f18176,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,X0))) = X0,
inference(forward_demodulation,[],[f18063,f17713]) ).
fof(f18205,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,multiply(X0,identity))),
inference(forward_demodulation,[],[f18034,f17713]) ).
fof(f18218,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X0),X1))) = X1,
inference(forward_demodulation,[],[f18021,f17713]) ).
fof(f18397,plain,
! [X0] : identity = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(forward_demodulation,[],[f18205,f17713]) ).
fof(f18927,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(multiply(X0,X0),identity),identity),identity))),
inference(superposition,[],[f18176,f10914]) ).
fof(f19144,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),identity),identity))),
inference(forward_demodulation,[],[f18927,f17713]) ).
fof(f19249,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X0),identity))),
inference(forward_demodulation,[],[f19144,f17713]) ).
fof(f19320,plain,
! [X0] : multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),
inference(forward_demodulation,[],[f19249,f882]) ).
fof(f19358,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(forward_demodulation,[],[f19320,f18176]) ).
fof(f19381,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[],[f19358,f17713]) ).
fof(f19452,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f19381,f18176]) ).
fof(f21816,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X0,X1),identity)) = multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity))),
inference(superposition,[],[f22,f18397]) ).
fof(f21999,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,identity)) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(forward_demodulation,[],[f21816,f19452]) ).
fof(f22085,plain,
! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,identity)) = multiply(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f21999,f17713]) ).
fof(f22161,plain,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f22085,f17713]) ).
fof(f23560,plain,
! [X0,X1] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity)) = multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X0,X1),identity)))),
inference(superposition,[],[f18218,f22]) ).
fof(f23835,plain,
! [X0,X1] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity)) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1)))),
inference(forward_demodulation,[],[f23560,f17713]) ).
fof(f23958,plain,
! [X0,X1] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1)))),
inference(forward_demodulation,[],[f23835,f17713]) ).
fof(f24052,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1)))),
inference(forward_demodulation,[],[f23958,f18397]) ).
fof(f24130,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1)))) = X1,
inference(forward_demodulation,[],[f24052,f19452]) ).
fof(f32636,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(identity,X2))),
inference(forward_demodulation,[],[f8,f3635]) ).
fof(f32637,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),X2)),
inference(forward_demodulation,[],[f32636,f19452]) ).
fof(f32638,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,X0),X2)) = multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X0,X2)))),
inference(forward_demodulation,[],[f32637,f22161]) ).
fof(f32639,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,X0),X2)) = multiply(X1,multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,X1),multiply(X0,X2))))),
inference(forward_demodulation,[],[f32638,f22161]) ).
fof(f32640,plain,
! [X2,X0,X1] : multiply(multiply(X1,X1),multiply(X0,X2)) = multiply(X1,multiply(multiply(X1,X0),X2)),
inference(forward_demodulation,[],[f32639,f18218]) ).
fof(f32641,plain,
! [X2,X0,X1] : multiply(X1,multiply(X1,multiply(X0,X2))) = multiply(X1,multiply(multiply(X1,X0),X2)),
inference(forward_demodulation,[],[f32640,f22161]) ).
fof(f32677,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X1,multiply(X1,multiply(multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,identity))),identity),X2))),
inference(superposition,[],[f32641,f10]) ).
fof(f33385,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X0,identity))),X2))),
inference(forward_demodulation,[],[f32677,f17713]) ).
fof(f33730,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X1,multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X1),multiply(X0,identity)),X2)))),
inference(forward_demodulation,[],[f33385,f32641]) ).
fof(f34031,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,identity))),X2)))),
inference(forward_demodulation,[],[f33730,f22161]) ).
fof(f34267,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X1,multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,identity)),X2))))),
inference(forward_demodulation,[],[f34031,f32641]) ).
fof(f34434,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(multiply(X1,multiply(X0,identity)),X2),
inference(forward_demodulation,[],[f34267,f24130]) ).
fof(f34541,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(multiply(X1,X0),X2),
inference(forward_demodulation,[],[f34434,f17713]) ).
fof(f35040,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(superposition,[],[f4,f34541]) ).
fof(f35289,plain,
$false,
inference(trivial_inequality_removal,[],[f35040]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/5.40 % Computer : n001.cluster.edu
% 0.10/5.40 % Model : x86_64 x86_64
% 0.10/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.40 % Memory : 8046.5625MB
% 0.10/5.40 % OS : Linux 6.8.0-71-generic
% 0.10/5.40 % CPULimit : 300
% 0.10/5.40 % WCLimit : 300
% 0.10/5.40 % DateTime : Sun Sep 27 09:25:51 UTC 2026
% 0.10/5.41 % CPUTime :
% 0.10/5.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/5.44 Running first-order model finding
% 0.10/5.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.82/6.15 % (3290204)Will run a generic schedule for satisfiability detection.
% 4.82/6.15 % (3290209)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4204545069_2999 on theBenchmark for (2999ds/0Mi)
% 4.82/6.15 % TRYING [1]
% 4.82/6.15 % TRYING [2]
% 4.82/6.15 % TRYING [3]
% 4.82/6.15 % TRYING [4]
% 4.82/6.15 % (3290210)% WARNING: option uhcvi not known.
% 4.82/6.15 % (3290210)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1290920755:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.82/6.15 % (3290211)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3216472604:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.82/6.15 % (3290212)dis+10_1_sil=32000:sp=arity:random_seed=1064387540:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.82/6.15 % (3290214)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3179650388:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.82/6.15 % (3290215)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=954773911:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.82/6.15 % TRYING [5]
% 4.82/6.15 % (3290213)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3165187133:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.82/6.15 % (3290212)Instruction limit reached!
% 4.82/6.15 % (3290212)------------------------------
% 4.82/6.15 % (3290212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290212)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290212)Termination reason: Instruction limit
% 4.82/6.15 % (3290212)Termination phase: Saturation
% 4.82/6.15 % (3290212)Time elapsed: 0.056 s
% 4.82/6.15 % (3290212)Peak memory usage: 11 MB
% 4.82/6.15 % (3290212)Instructions burned: 104 (million)
% 4.82/6.15 % (3290223)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2273123110:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.82/6.15 % TRYING [6]
% 4.82/6.15 % TRYING [1]
% 4.82/6.15 % TRYING [2]
% 4.82/6.15 % TRYING [3]
% 4.82/6.15 % (3290214)Instruction limit reached!
% 4.82/6.15 % (3290214)------------------------------
% 4.82/6.15 % (3290214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290214)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290214)Termination reason: Instruction limit
% 4.82/6.15 % (3290214)Termination phase: Saturation
% 4.82/6.15 % (3290214)Time elapsed: 0.079 s
% 4.82/6.15 % (3290214)Peak memory usage: 13 MB
% 4.82/6.15 % (3290214)Instructions burned: 132 (million)
% 4.82/6.15 % TRYING [4]
% 4.82/6.15 % (3290215)Instruction limit reached!
% 4.82/6.15 % (3290215)------------------------------
% 4.82/6.15 % (3290215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290215)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290215)Termination reason: Instruction limit
% 4.82/6.15 % (3290215)Termination phase: Saturation
% 4.82/6.15 % (3290215)Time elapsed: 0.089 s
% 4.82/6.15 % (3290215)Peak memory usage: 12 MB
% 4.82/6.15 % (3290215)Instructions burned: 159 (million)
% 4.82/6.15 % (3290213)Instruction limit reached!
% 4.82/6.15 % (3290213)------------------------------
% 4.82/6.15 % (3290213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290213)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290213)Termination reason: Instruction limit
% 4.82/6.15 % (3290213)Termination phase: Saturation
% 4.82/6.15 % (3290213)Time elapsed: 0.088 s
% 4.82/6.15 % (3290213)Peak memory usage: 12 MB
% 4.82/6.15 % (3290213)Instructions burned: 116 (million)
% 4.82/6.15 % TRYING [5]
% 4.82/6.15 % (3290225)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=21491522:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.82/6.15 % (3290226)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=928083118:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.82/6.15 % (3290227)ott-21_1_sil=16000:fs=off:random_seed=4081494286:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.82/6.15 % (3290225)Instruction limit reached!
% 4.82/6.15 % (3290225)------------------------------
% 4.82/6.15 % (3290225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290225)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290225)Termination reason: Instruction limit
% 4.82/6.15 % (3290225)Termination phase: Saturation
% 4.82/6.15 % (3290225)Time elapsed: 0.074 s
% 4.82/6.15 % (3290225)Peak memory usage: 12 MB
% 4.82/6.15 % (3290225)Instructions burned: 131 (million)
% 4.82/6.15 % (3290227)Instruction limit reached!
% 4.82/6.15 % (3290227)------------------------------
% 4.82/6.15 % (3290227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290227)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290227)Termination reason: Instruction limit
% 4.82/6.15 % (3290227)Termination phase: Saturation
% 4.82/6.15 % (3290227)Time elapsed: 0.082 s
% 4.82/6.15 % (3290227)Peak memory usage: 11 MB
% 4.82/6.15 % (3290227)Instructions burned: 180 (million)
% 4.82/6.15 % (3290231)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1407246633:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.82/6.15 % (3290232)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2514963777:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.82/6.15 % TRYING [1]
% 4.82/6.15 % TRYING [2]
% 4.82/6.15 % TRYING [3]
% 4.82/6.15 % TRYING [4]
% 4.82/6.15 % TRYING [5]
% 4.82/6.15 % TRYING [6]
% 4.82/6.15 % TRYING [6]
% 4.82/6.15 % TRYING [7]
% 4.82/6.15 % (3290231)Instruction limit reached!
% 4.82/6.15 % (3290231)------------------------------
% 4.82/6.15 % (3290231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290231)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290231)Termination reason: Instruction limit
% 4.82/6.15 % (3290231)Termination phase: Saturation
% 4.82/6.15 % (3290231)Time elapsed: 0.256 s
% 4.82/6.15 % (3290231)Peak memory usage: 15 MB
% 4.82/6.15 % (3290231)Instructions burned: 478 (million)
% 4.82/6.15 % (3290226)Instruction limit reached!
% 4.82/6.15 % (3290226)------------------------------
% 4.82/6.15 % (3290226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290226)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290226)Termination reason: Instruction limit
% 4.82/6.15 % (3290226)Termination phase: Saturation
% 4.82/6.15 % (3290226)Time elapsed: 0.358 s
% 4.82/6.15 % (3290226)Peak memory usage: 17 MB
% 4.82/6.15 % (3290226)Instructions burned: 684 (million)
% 4.82/6.15 % (3290235)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=962011649:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.82/6.15 % (3290236)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2872061555:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.82/6.15 % (3290223)Instruction limit reached!
% 4.82/6.15 % (3290223)------------------------------
% 4.82/6.15 % (3290223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290223)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290223)Termination reason: Instruction limit
% 4.82/6.15 % (3290223)Termination phase: Finite model building SAT solving
% 4.82/6.15 % (3290223)Time elapsed: 0.421 s
% 4.82/6.15 % (3290223)Peak memory usage: 18 MB
% 4.82/6.15 % (3290223)Instructions burned: 714 (million)
% 4.82/6.15 % TRYING [14]
% 4.82/6.15 % (3290239)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1573083173:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.82/6.15 % TRYING [7]
% 4.82/6.15 % (3290232)Instruction limit reached!
% 4.82/6.15 % (3290232)------------------------------
% 4.82/6.15 % (3290232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.15 % (3290232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.15 % (3290232)CaDiCaL version: 2.1.3
% 4.82/6.15 % (3290232)Termination reason: Instruction limit
% 4.82/6.15 % (3290232)Termination phase: Finite model building SAT solving
% 4.82/6.15 % (3290232)Time elapsed: 0.425 s
% 4.82/6.15 % (3290232)Peak memory usage: 16 MB
% 4.82/6.15 % (3290232)Instructions burned: 868 (million)
% 4.82/6.15 % (3290211) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3290204-3290211"...
% 4.82/6.15 % (3290241)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2254734415:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.82/6.15 % (3290211)...printing done.
% 4.82/6.15 % (3290211)Refutation found. Thanks to Tanya!
% 4.82/6.15 % SZS status Unsatisfiable for theBenchmark
% 4.82/6.15 % SZS output start Proof for theBenchmark
% See solution above
% 4.82/6.16 % (3290211)------------------------------
% 4.82/6.16 % (3290211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/6.16 % (3290211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/6.16 % (3290211)CaDiCaL version: 2.1.3
% 4.82/6.16 % (3290211)Termination reason: Refutation
% 4.82/6.16 % (3290211)Time elapsed: 0.662 s
% 4.82/6.16 % (3290211)Peak memory usage: 20 MB
% 4.82/6.16 % (3290211)Instructions burned: 1285 (million)
% 4.82/6.16 % (3290204)Success in time 0.704 s
% 4.82/6.16 % Vampire exiting
%------------------------------------------------------------------------------