%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL030+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:56 PM UTC 2026
% Result : Theorem 18.54s 3.57s
% Output : Refutation 19.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 13
% Syntax : Number of formulae : 151 ( 147 unt; 0 def)
% Number of atoms : 155 ( 154 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 239 ( 236 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(X0,one) = one
=> meet(composition(X0,X1),complement(X2)) = meet(composition(X0,X1),complement(composition(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,one) = one
=> meet(composition(X0,X1),complement(X2)) = meet(composition(X0,X1),complement(composition(X0,X2))) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( meet(composition(X0,X1),complement(X2)) != meet(composition(X0,X1),complement(composition(X0,X2)))
& join(X0,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( meet(composition(sK0,sK1),complement(sK2)) != meet(composition(sK0,sK1),complement(composition(sK0,sK2)))
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
meet(composition(sK0,sK1),complement(sK2)) != meet(composition(sK0,sK1),complement(composition(sK0,sK2))),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
complement(join(complement(composition(sK0,sK1)),complement(complement(sK2)))) != complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))),
inference(definition_unfolding,[],[f19,f24,f24]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f24]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f36,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f37,plain,
complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))),
inference(forward_demodulation,[],[f33,f27]) ).
fof(f38,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f32]) ).
fof(f47,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f35,f35]) ).
fof(f49,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f50,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f47,f27]) ).
fof(f60,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f32]) ).
fof(f62,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f67,plain,
zero = complement(top),
inference(superposition,[],[f34,f20]) ).
fof(f88,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f26,f20]) ).
fof(f90,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f35]) ).
fof(f98,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f157,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f36,f32]) ).
fof(f170,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f60,f30]) ).
fof(f180,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f170,f32]) ).
fof(f255,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f23,f180]) ).
fof(f256,plain,
one = converse(one),
inference(superposition,[],[f30,f180]) ).
fof(f257,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f255,f256]) ).
fof(f314,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f62,f29]) ).
fof(f324,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f314,f22]) ).
fof(f332,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f324,f22]) ).
fof(f337,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f332,f29]) ).
fof(f356,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f337]) ).
fof(f361,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f356,f32]) ).
fof(f387,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f361,f30]) ).
fof(f391,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f361,f30]) ).
fof(f407,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f391,f27]) ).
fof(f699,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f407,f18]) ).
fof(f736,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f699,f30]) ).
fof(f778,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f38,f736]) ).
fof(f779,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f778,f60]) ).
fof(f796,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f779,f32]) ).
fof(f833,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f387,f796]) ).
fof(f838,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f833,f30]) ).
fof(f852,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f838,f30]) ).
fof(f885,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f38,f852]) ).
fof(f886,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f885,f60]) ).
fof(f905,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f886,f32]) ).
fof(f916,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f905,f32]) ).
fof(f924,plain,
! [X0] : composition(join(one,sK0),X0) = X0,
inference(superposition,[],[f257,f916]) ).
fof(f925,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f98,f916]) ).
fof(f927,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f26,f916]) ).
fof(f947,plain,
! [X0] : composition(join(sK0,one),X0) = X0,
inference(forward_demodulation,[],[f924,f27]) ).
fof(f957,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f947,f18]) ).
fof(f972,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f927,f361]) ).
fof(f978,plain,
! [X0] : join(X0,top) = join(X0,complement(composition(sK0,X0))),
inference(superposition,[],[f927,f20]) ).
fof(f1049,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f972,f20]) ).
fof(f1543,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f157,f957]) ).
fof(f1568,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1543,f180]) ).
fof(f1593,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f90,f1568]) ).
fof(f1598,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1593,f35]) ).
fof(f1644,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f1598,f50]) ).
fof(f1648,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f1598,f1598]) ).
fof(f1651,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1598,f34]) ).
fof(f1714,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f1644,f90]) ).
fof(f1718,plain,
! [X2,X0,X1] : join(X1,complement(join(X0,join(complement(X1),X2)))) = X1,
inference(superposition,[],[f1644,f98]) ).
fof(f1719,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1644,f925]) ).
fof(f1744,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),X1)) = join(complement(X0),complement(join(complement(join(complement(X0),join(complement(complement(X0)),X1))),complement(X0)))),
inference(superposition,[],[f50,f1644]) ).
fof(f1768,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),X1)) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),X1)))))),
inference(forward_demodulation,[],[f1744,f27]) ).
fof(f1773,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1714,f26]) ).
fof(f1781,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f1768,f1718]) ).
fof(f1784,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,X1),
inference(forward_demodulation,[],[f1781,f88]) ).
fof(f1786,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f1784,f20]) ).
fof(f1829,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f27,f1651]) ).
fof(f1866,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f90,f1648]) ).
fof(f1887,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f1866,f98]) ).
fof(f1896,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1887,f1773]) ).
fof(f1932,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f35,f1896]) ).
fof(f1945,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f27,f1896]) ).
fof(f1958,plain,
! [X0] : join(complement(complement(X0)),top) = join(X0,complement(composition(sK0,complement(complement(X0))))),
inference(superposition,[],[f978,f1896]) ).
fof(f1970,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f1651,f1896]) ).
fof(f1971,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1970,f1651]) ).
fof(f1976,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,complement(composition(sK0,complement(complement(X0))))),
inference(forward_demodulation,[],[f1958,f27]) ).
fof(f1992,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1932,f1896]) ).
fof(f2013,plain,
! [X0] : join(top,X0) = join(X0,complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f1976,f1971]) ).
fof(f2033,plain,
! [X0] : top = join(X0,complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f2013,f1786]) ).
fof(f2045,plain,
complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != complement(join(complement(composition(sK0,sK1)),composition(sK0,sK2))),
inference(superposition,[],[f37,f1971]) ).
fof(f2061,plain,
! [X0] : join(complement(X0),composition(sK0,top)) = join(complement(X0),composition(sK0,X0)),
inference(superposition,[],[f1049,f1971]) ).
fof(f2076,plain,
complement(join(complement(complement(sK2)),complement(composition(sK0,sK1)))) != complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))),
inference(forward_demodulation,[],[f2045,f27]) ).
fof(f2081,plain,
complement(join(composition(sK0,sK2),complement(composition(sK0,sK1)))) != complement(join(sK2,complement(composition(sK0,sK1)))),
inference(forward_demodulation,[],[f2076,f1896]) ).
fof(f2486,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f49,f1992]) ).
fof(f2510,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f2486,f27]) ).
fof(f2558,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f2510,f1896]) ).
fof(f2590,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f2558,f27]) ).
fof(f2610,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f2590,f26]) ).
fof(f2620,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2610,f1719]) ).
fof(f2629,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f2620,f27]) ).
fof(f2639,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(complement(complement(X0)))),
inference(superposition,[],[f2620,f1945]) ).
fof(f2651,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f2620,f1049]) ).
fof(f2663,plain,
! [X0] : join(complement(X0),complement(composition(sK0,X0))) = join(complement(X0),complement(join(complement(X0),composition(sK0,top)))),
inference(superposition,[],[f2620,f2061]) ).
fof(f2725,plain,
! [X0] : join(complement(X0),complement(composition(sK0,top))) = join(complement(X0),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f2663,f2620]) ).
fof(f2736,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(composition(sK0,top))),
inference(forward_demodulation,[],[f2651,f2620]) ).
fof(f2744,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2639,f1945]) ).
fof(f2838,plain,
! [X0] : join(complement(composition(sK0,X0)),complement(X0)) = join(complement(composition(sK0,X0)),complement(top)),
inference(superposition,[],[f2629,f2033]) ).
fof(f2939,plain,
! [X0] : join(complement(composition(sK0,X0)),complement(X0)) = join(complement(top),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f2838,f27]) ).
fof(f2976,plain,
! [X0] : join(complement(composition(sK0,X0)),complement(X0)) = join(zero,complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f2939,f67]) ).
fof(f3005,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),complement(X0)),
inference(forward_demodulation,[],[f2976,f1829]) ).
fof(f3025,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f3005,f27]) ).
fof(f3141,plain,
! [X0] : join(complement(composition(sK0,top)),complement(X0)) = join(complement(X0),complement(composition(sK0,X0))),
inference(superposition,[],[f27,f2725]) ).
fof(f3195,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,top)),complement(X0)),
inference(forward_demodulation,[],[f3141,f3025]) ).
fof(f3323,plain,
! [X0] : join(complement(complement(X0)),complement(composition(sK0,top))) = join(complement(composition(sK0,top)),complement(join(complement(X0),complement(composition(sK0,X0))))),
inference(superposition,[],[f2744,f2725]) ).
fof(f3411,plain,
! [X0] : join(complement(complement(X0)),complement(composition(sK0,top))) = complement(composition(sK0,join(complement(X0),complement(composition(sK0,X0))))),
inference(forward_demodulation,[],[f3323,f3195]) ).
fof(f3457,plain,
! [X0] : join(complement(complement(X0)),complement(composition(sK0,top))) = complement(composition(sK0,complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f3411,f3025]) ).
fof(f3490,plain,
! [X0] : join(X0,complement(composition(sK0,top))) = complement(composition(sK0,complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f3457,f1896]) ).
fof(f3911,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(superposition,[],[f3195,f1971]) ).
fof(f3956,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,top))),
inference(superposition,[],[f1945,f3195]) ).
fof(f3964,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),join(X1,complement(composition(sK0,top)))),
inference(superposition,[],[f98,f3195]) ).
fof(f4103,plain,
! [X0,X1] : join(join(X0,complement(composition(sK0,top))),X1) = join(X0,join(complement(composition(sK0,complement(X0))),X1)),
inference(superposition,[],[f26,f2736]) ).
fof(f4104,plain,
! [X0,X1] : join(X1,join(X0,complement(composition(sK0,top)))) = join(X0,join(complement(composition(sK0,complement(X0))),X1)),
inference(superposition,[],[f98,f2736]) ).
fof(f4158,plain,
! [X0,X1] : join(X0,join(complement(composition(sK0,complement(X0))),X1)) = join(X1,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f4104,f3956]) ).
fof(f4159,plain,
! [X0,X1] : join(X0,join(complement(composition(sK0,top)),X1)) = join(X0,join(complement(composition(sK0,complement(X0))),X1)),
inference(forward_demodulation,[],[f4103,f26]) ).
fof(f4188,plain,
! [X0,X1] : join(X0,join(complement(composition(sK0,top)),X1)) = join(X1,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f4159,f4158]) ).
fof(f4212,plain,
! [X0,X1] : join(X0,complement(composition(sK0,complement(X1)))) = join(X1,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f4188,f3911]) ).
fof(f4274,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,complement(X1)))),
inference(superposition,[],[f4212,f1971]) ).
fof(f4559,plain,
! [X0,X1] : join(complement(X1),join(X0,complement(composition(sK0,top)))) = join(composition(sK0,X0),complement(composition(sK0,X1))),
inference(superposition,[],[f4274,f3490]) ).
fof(f4641,plain,
! [X0,X1] : join(X0,complement(composition(sK0,X1))) = join(composition(sK0,X0),complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f4559,f3964]) ).
fof(f44583,plain,
complement(join(sK2,complement(composition(sK0,sK1)))) != complement(join(sK2,complement(composition(sK0,sK1)))),
inference(superposition,[],[f2081,f4641]) ).
fof(f44584,plain,
$false,
inference(trivial_inequality_removal,[],[f44583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL030+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:54:19 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 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
% 18.54/3.57 % (3496869)Detected formulas, will run a generic FOF schedule.
% 18.54/3.57 % (3496881)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3370221724:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.54/3.57 % (3496884)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=731579107:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.54/3.57 % (3496885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=216690318:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.54/3.57 % (3496880)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3292475759:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.54/3.57 % (3496883)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1196425749:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.54/3.57 % (3496886)dis-21_1_sil=8000:lcm=predicate:random_seed=1728048935:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 18.54/3.57 % (3496882)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3317270794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.54/3.57 % (3496886)Refutation not found, incomplete strategy
% 18.54/3.57 % (3496886)------------------------------
% 18.54/3.57 % (3496886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496886)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496886)Termination reason: Refutation not found, incomplete strategy
% 18.54/3.57 % (3496886)Time elapsed: 0.002 s
% 18.54/3.57 % (3496886)Peak memory usage: 88 MB
% 18.54/3.57 % (3496886)Instructions burned: 1 (million)
% 18.54/3.57 % (3496883)Instruction limit reached!
% 18.54/3.57 % (3496883)------------------------------
% 18.54/3.57 % (3496883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496883)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496883)Termination reason: Instruction limit
% 18.54/3.57 % (3496883)Termination phase: Saturation
% 18.54/3.57 % (3496883)Time elapsed: 0.080 s
% 18.54/3.57 % (3496883)Peak memory usage: 89 MB
% 18.54/3.57 % (3496883)Instructions burned: 109 (million)
% 18.54/3.57 % (3496884)Instruction limit reached!
% 18.54/3.57 % (3496884)------------------------------
% 18.54/3.57 % (3496884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496884)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496884)Termination reason: Instruction limit
% 18.54/3.57 % (3496884)Termination phase: Saturation
% 18.54/3.57 % (3496884)Time elapsed: 0.102 s
% 18.54/3.57 % (3496884)Peak memory usage: 89 MB
% 18.54/3.57 % (3496884)Instructions burned: 119 (million)
% 18.54/3.57 % (3496885)Instruction limit reached!
% 18.54/3.57 % (3496885)------------------------------
% 18.54/3.57 % (3496885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496885)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496885)Termination reason: Instruction limit
% 18.54/3.57 % (3496885)Termination phase: Saturation
% 18.54/3.57 % (3496885)Time elapsed: 0.137 s
% 18.54/3.57 % (3496885)Peak memory usage: 90 MB
% 18.54/3.57 % (3496885)Instructions burned: 139 (million)
% 18.54/3.57 % (3496902)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2337539235:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 18.54/3.57 % (3496901)lrs+10_1_sil=8000:sp=occurrence:random_seed=4094971507:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.54/3.57 % (3496902)Instruction limit reached!
% 18.54/3.57 % (3496902)------------------------------
% 18.54/3.57 % (3496902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496902)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496902)Termination reason: Instruction limit
% 18.54/3.57 % (3496902)Termination phase: Saturation
% 18.54/3.57 % (3496902)Time elapsed: 0.088 s
% 18.54/3.57 % (3496902)Peak memory usage: 90 MB
% 18.54/3.57 % (3496902)Instructions burned: 158 (million)
% 18.54/3.57 % (3496903)lrs+1011_1_sil=32000:sp=occurrence:random_seed=770803464:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 18.54/3.57 % (3496886)------------------------------
% 18.54/3.57 % (3496886)------------------------------
% 18.54/3.57 % (3496901)Instruction limit reached!
% 18.54/3.57 % (3496901)------------------------------
% 18.54/3.57 % (3496901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496901)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496901)Termination reason: Instruction limit
% 18.54/3.57 % (3496901)Termination phase: Saturation
% 18.54/3.57 % (3496901)Time elapsed: 0.275 s
% 18.54/3.57 % (3496901)Peak memory usage: 91 MB
% 18.54/3.57 % (3496901)Instructions burned: 286 (million)
% 18.54/3.57 % (3496906)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3900910794:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 18.54/3.57 % (3496910)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3943638327:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 18.54/3.57 % (3496903)Instruction limit reached!
% 18.54/3.57 % (3496903)------------------------------
% 18.54/3.57 % (3496903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496903)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496903)Termination reason: Instruction limit
% 18.54/3.57 % (3496903)Termination phase: Saturation
% 18.54/3.57 % (3496903)Time elapsed: 0.323 s
% 18.54/3.57 % (3496903)Peak memory usage: 91 MB
% 18.54/3.57 % (3496903)Instructions burned: 325 (million)
% 18.54/3.57 % (3496911)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4093472320:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 18.54/3.57 % (3496906)Instruction limit reached!
% 18.54/3.57 % (3496906)------------------------------
% 18.54/3.57 % (3496906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496906)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496906)Termination reason: Instruction limit
% 18.54/3.57 % (3496906)Termination phase: Saturation
% 18.54/3.57 % (3496906)Time elapsed: 0.253 s
% 18.54/3.57 % (3496906)Peak memory usage: 92 MB
% 18.54/3.57 % (3496906)Instructions burned: 248 (million)
% 18.54/3.57 % (3496915)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4194845887:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 18.54/3.57 % (3496910)Instruction limit reached!
% 18.54/3.57 % (3496910)------------------------------
% 18.54/3.57 % (3496910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496910)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496910)Termination reason: Instruction limit
% 18.54/3.57 % (3496910)Termination phase: Saturation
% 18.54/3.57 % (3496910)Time elapsed: 0.292 s
% 18.54/3.57 % (3496910)Peak memory usage: 91 MB
% 18.54/3.57 % (3496910)Instructions burned: 294 (million)
% 18.54/3.57 % (3496918)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3673853460:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 18.54/3.57 % (3496918)Refutation not found, incomplete strategy
% 18.54/3.57 % (3496918)------------------------------
% 18.54/3.57 % (3496918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496918)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496918)Termination reason: Refutation not found, incomplete strategy
% 18.54/3.57 % (3496918)Time elapsed: 0.002 s
% 18.54/3.57 % (3496918)Peak memory usage: 87 MB
% 18.54/3.57 % (3496915)Instruction limit reached!
% 18.54/3.57 % (3496915)------------------------------
% 18.54/3.57 % (3496915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496915)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496915)Termination reason: Instruction limit
% 18.54/3.57 % (3496915)Termination phase: Saturation
% 18.54/3.57 % (3496915)Time elapsed: 0.108 s
% 18.54/3.57 % (3496915)Peak memory usage: 90 MB
% 18.54/3.57 % (3496915)Instructions burned: 113 (million)
% 18.54/3.57 % (3496920)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2860071783:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 18.54/3.57 % (3496922)lrs+10_1_sil=8000:sp=occurrence:random_seed=2218374959:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 18.54/3.57 % (3496920)Instruction limit reached!
% 18.54/3.57 % (3496920)------------------------------
% 18.54/3.57 % (3496920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496920)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496920)Termination reason: Instruction limit
% 18.54/3.57 % (3496920)Termination phase: Saturation
% 18.54/3.57 % (3496920)Time elapsed: 0.109 s
% 18.54/3.57 % (3496920)Peak memory usage: 89 MB
% 18.54/3.57 % (3496920)Instructions burned: 114 (million)
% 18.54/3.57 % (3496918)------------------------------
% 18.54/3.57 % (3496918)------------------------------
% 18.54/3.57 % (3496925)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3493170726:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 18.54/3.57 % (3496926)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4162163068:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 18.54/3.57 % (3496925)Instruction limit reached!
% 18.54/3.57 % (3496925)------------------------------
% 18.54/3.57 % (3496925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496925)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496925)Termination reason: Instruction limit
% 18.54/3.57 % (3496925)Termination phase: Saturation
% 18.54/3.57 % (3496925)Time elapsed: 0.327 s
% 18.54/3.57 % (3496925)Peak memory usage: 90 MB
% 18.54/3.57 % (3496925)Instructions burned: 437 (million)
% 18.54/3.57 % (3496929)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1809556246:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 18.54/3.57 % (3496929)Refutation not found, incomplete strategy
% 18.54/3.57 % (3496929)------------------------------
% 18.54/3.57 % (3496929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496929)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496929)Termination reason: Refutation not found, incomplete strategy
% 18.54/3.57 % (3496929)Time elapsed: 0.002 s
% 18.54/3.57 % (3496929)Peak memory usage: 89 MB
% 18.54/3.57 % (3496929)Instructions burned: 1 (million)
% 18.54/3.57 % (3496922)Instruction limit reached!
% 18.54/3.57 % (3496922)------------------------------
% 18.54/3.57 % (3496922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.57 % (3496922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.57 % (3496922)CaDiCaL version: 2.1.3
% 18.54/3.57 % (3496922)Termination reason: Instruction limit
% 18.54/3.57 % (3496922)Termination phase: Saturation
% 18.54/3.57 % (3496922)Time elapsed: 0.842 s
% 18.54/3.57 % (3496922)Peak memory usage: 96 MB
% 18.54/3.57 % (3496922)Instructions burned: 907 (million)
% 18.54/3.57 % (3496881)First to succeed.
% 18.54/3.57 % (3496881)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3496869"
% 18.54/3.57 % (3496933)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3893442480:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 18.54/3.57 % (3496929)------------------------------
% 18.54/3.57 % (3496929)------------------------------
% 18.54/3.57 % (3496880)Also succeeded, but the first one will report.
% 18.54/3.57 % (3496881)Refutation found. Thanks to Tanya!
% 18.54/3.57 % SZS status Theorem for theBenchmark
% 18.54/3.57 % SZS output start Proof for theBenchmark
% See solution above
% 19.56/3.76 % (3496881)------------------------------
% 19.56/3.76 % (3496881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.56/3.76 % (3496881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.56/3.76 % (3496881)CaDiCaL version: 2.1.3
% 19.56/3.76 % (3496881)Termination reason: Refutation
% 19.56/3.76 % (3496881)Time elapsed: 2.325 s
% 19.56/3.76 % (3496881)Peak memory usage: 151 MB
% 19.56/3.76 % (3496881)Instructions burned: 3787 (million)
% 19.56/3.76 % (3496881)------------------------------
% 19.56/3.76 % (3496881)------------------------------
% 19.56/3.76 % (3496869)Success in time 2.692 s
% 19.56/3.76 % Vampire exiting
%------------------------------------------------------------------------------