%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL010+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:33:41 PM UTC 2026
% Result : Theorem 6.60s 2.20s
% Output : Refutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 127 ( 123 unt; 0 def)
% Number of atoms : 131 ( 130 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 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 : 214 ( 211 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( meet(composition(X0,X1),X2) = zero
=> meet(X1,composition(converse(X0),X2)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(composition(X0,X1),X2) = zero
=> meet(X1,composition(converse(X0),X2)) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != meet(X1,composition(converse(X0),X2))
& meet(composition(X0,X1),X2) = zero ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( zero != meet(sK1,composition(converse(sK0),sK2))
& zero = meet(composition(sK0,sK1),sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
zero = meet(composition(sK0,sK1),sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
zero != meet(sK1,composition(converse(sK0),sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
zero != complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),
inference(definition_unfolding,[],[f22,f27]) ).
fof(f40,plain,
zero = complement(join(complement(composition(sK0,sK1)),complement(sK2))),
inference(definition_unfolding,[],[f21,f27]) ).
fof(f42,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f24,f27,f27,f27,f27,f27]) ).
fof(f44,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f26,f27]) ).
fof(f45,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f28,f36]) ).
fof(f46,plain,
zero = complement(top),
inference(forward_demodulation,[],[f44,f37]) ).
fof(f47,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),
inference(forward_demodulation,[],[f42,f36]) ).
fof(f49,plain,
zero = complement(join(complement(sK2),complement(composition(sK0,sK1)))),
inference(forward_demodulation,[],[f40,f36]) ).
fof(f55,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1))))),complement(X0)),
inference(superposition,[],[f38,f38]) ).
fof(f56,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f55,f36]) ).
fof(f60,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f56,f36]) ).
fof(f74,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f38,f36]) ).
fof(f75,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f38,f36]) ).
fof(f78,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f74,f36]) ).
fof(f125,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f34]) ).
fof(f146,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f125,f31]) ).
fof(f151,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f146,f34]) ).
fof(f168,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f30,f151]) ).
fof(f169,plain,
one = converse(one),
inference(superposition,[],[f31,f151]) ).
fof(f170,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f168,f169]) ).
fof(f173,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f151,f169]) ).
fof(f179,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f33,f169]) ).
fof(f184,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f45,f46]) ).
fof(f192,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f45,f151]) ).
fof(f196,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f192,f173]) ).
fof(f246,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f35,f37]) ).
fof(f248,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f35,f38]) ).
fof(f259,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f261,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f248,f259]) ).
fof(f290,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f261,f38]) ).
fof(f292,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,[],[f261,f196]) ).
fof(f298,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f292,f75]) ).
fof(f299,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f290,f36]) ).
fof(f317,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f299,f298]) ).
fof(f352,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f317,f261]) ).
fof(f354,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f317,f36]) ).
fof(f355,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f317,f37]) ).
fof(f374,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f355,f46]) ).
fof(f375,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f352,f35]) ).
fof(f391,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f36,f374]) ).
fof(f394,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(zero))))),
inference(superposition,[],[f261,f374]) ).
fof(f398,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f394,f375]) ).
fof(f399,plain,
! [X0] : join(top,X0) = join(complement(zero),X0),
inference(superposition,[],[f398,f46]) ).
fof(f423,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f374,f398]) ).
fof(f424,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f423,f374]) ).
fof(f485,plain,
top = complement(zero),
inference(superposition,[],[f424,f46]) ).
fof(f512,plain,
! [X0] : zero = join(zero,complement(join(top,X0))),
inference(superposition,[],[f317,f485]) ).
fof(f518,plain,
! [X0] : zero = complement(join(top,X0)),
inference(forward_demodulation,[],[f512,f391]) ).
fof(f589,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f261,f354]) ).
fof(f609,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f589,f36]) ).
fof(f630,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f609,f398]) ).
fof(f894,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f78,f424]) ).
fof(f899,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(join(complement(join(complement(X1),complement(X0))),join(complement(X0),X1))),complement(X0)),
inference(superposition,[],[f78,f78]) ).
fof(f944,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X1),complement(X0))),join(complement(X0),X1)))),
inference(forward_demodulation,[],[f899,f36]) ).
fof(f983,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(forward_demodulation,[],[f944,f36]) ).
fof(f1010,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f983,f35]) ).
fof(f1034,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1010,f298]) ).
fof(f1134,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f630,f36]) ).
fof(f1287,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(complement(complement(join(X0,X1))),X1),
inference(superposition,[],[f1134,f630]) ).
fof(f1372,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(join(X0,X1),X1),
inference(forward_demodulation,[],[f1287,f398]) ).
fof(f1399,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f1372,f36]) ).
fof(f1422,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f1399,f609]) ).
fof(f3728,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f894,f246]) ).
fof(f3739,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(forward_demodulation,[],[f3728,f36]) ).
fof(f3800,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(complement(complement(X1)),join(X0,X1)))),
inference(forward_demodulation,[],[f3739,f35]) ).
fof(f3835,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f3800,f398]) ).
fof(f3859,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3835,f1422]) ).
fof(f3871,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3859,f518]) ).
fof(f3877,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f3871,f391]) ).
fof(f3880,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f3877,f398]) ).
fof(f3995,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(X1,X0),complement(join(X2,complement(join(X0,X1))))),
inference(superposition,[],[f354,f3880]) ).
fof(f4010,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,complement(join(X2,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f3995,f35]) ).
fof(f4582,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(complement(complement(join(complement(X2),join(X1,X0)))),complement(join(complement(X2),complement(join(X0,X1))))))),
inference(superposition,[],[f60,f3880]) ).
fof(f4704,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(join(complement(X2),join(X1,X0)),complement(join(complement(X2),complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f4582,f398]) ).
fof(f4808,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(complement(X2),join(join(X1,X0),complement(join(complement(X2),complement(join(X0,X1)))))))),
inference(forward_demodulation,[],[f4704,f35]) ).
fof(f4908,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(join(join(X1,X0),complement(join(complement(X2),complement(join(X0,X1)))))),complement(X2)),
inference(forward_demodulation,[],[f4808,f1034]) ).
fof(f5006,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(join(X1,X0),complement(join(complement(X2),complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f4908,f36]) ).
fof(f5097,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(X1,join(X0,complement(join(complement(X2),complement(join(X0,X1)))))))),
inference(forward_demodulation,[],[f5006,f35]) ).
fof(f5168,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(X1,X0))),
inference(forward_demodulation,[],[f5097,f4010]) ).
fof(f5369,plain,
! [X2,X0,X1] : complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1))))))))),
inference(superposition,[],[f47,f34]) ).
fof(f6023,plain,
complement(join(complement(sK1),complement(composition(converse(sK0),zero)))) = join(complement(join(complement(composition(converse(sK0),sK2)),complement(sK1))),complement(join(complement(sK1),complement(composition(converse(sK0),zero))))),
inference(superposition,[],[f5369,f49]) ).
fof(f6088,plain,
complement(join(complement(sK1),complement(composition(converse(sK0),zero)))) = join(complement(join(complement(sK1),complement(composition(converse(sK0),zero)))),complement(join(complement(composition(converse(sK0),sK2)),complement(sK1)))),
inference(forward_demodulation,[],[f6023,f36]) ).
fof(f6142,plain,
complement(join(complement(sK1),complement(composition(converse(sK0),zero)))) = join(complement(join(complement(sK1),complement(composition(converse(sK0),zero)))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))),
inference(forward_demodulation,[],[f6088,f5168]) ).
fof(f6810,plain,
! [X0] : zero = join(zero,composition(converse(join(one,X0)),complement(join(top,composition(X0,top))))),
inference(superposition,[],[f184,f170]) ).
fof(f6838,plain,
! [X0] : zero = composition(converse(join(one,X0)),complement(join(top,composition(X0,top)))),
inference(forward_demodulation,[],[f6810,f391]) ).
fof(f6852,plain,
! [X0] : zero = composition(converse(join(one,X0)),zero),
inference(forward_demodulation,[],[f6838,f518]) ).
fof(f6858,plain,
! [X0] : zero = composition(join(one,converse(X0)),zero),
inference(forward_demodulation,[],[f6852,f179]) ).
fof(f6861,plain,
! [X0] : zero = join(zero,composition(converse(X0),zero)),
inference(forward_demodulation,[],[f6858,f170]) ).
fof(f6862,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f6861,f391]) ).
fof(f8433,plain,
complement(join(complement(sK1),complement(zero))) = join(complement(join(complement(sK1),complement(zero))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))),
inference(superposition,[],[f6142,f6862]) ).
fof(f8491,plain,
complement(join(complement(zero),complement(sK1))) = join(complement(join(complement(zero),complement(sK1))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))),
inference(forward_demodulation,[],[f8433,f3880]) ).
fof(f8510,plain,
complement(join(top,complement(sK1))) = join(complement(join(top,complement(sK1))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))),
inference(forward_demodulation,[],[f8491,f399]) ).
fof(f8524,plain,
zero = join(zero,complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))),
inference(forward_demodulation,[],[f8510,f518]) ).
fof(f8538,plain,
zero = complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),
inference(forward_demodulation,[],[f8524,f391]) ).
fof(f8551,plain,
$false,
inference(forward_subsumption_resolution,[],[f8538,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL010+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n017.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 22:45:52 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.92/2.16 % (3034310)Detected formulas, will run a generic FOF schedule.
% 9.92/2.16 % (3034320)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1164235546:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.92/2.16 % (3034318)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=1436153184:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.92/2.16 % (3034317)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=1551110570:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.92/2.16 % (3034320)Instruction limit reached!
% 9.92/2.16 % (3034320)------------------------------
% 9.92/2.16 % (3034320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.16 % (3034320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.16 % (3034320)CaDiCaL version: 2.1.3
% 9.92/2.16 % (3034320)Termination reason: Instruction limit
% 9.92/2.16 % (3034320)Termination phase: Saturation
% 9.92/2.16 % (3034320)Time elapsed: 0.034 s
% 9.92/2.16 % (3034320)Peak memory usage: 89 MB
% 9.92/2.16 % (3034320)Instructions burned: 109 (million)
% 9.92/2.16 % (3034321)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=625683218:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.92/2.16 % (3034319)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=3592223692:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.92/2.16 % (3034322)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4068873675:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.92/2.16 % (3034323)dis-21_1_sil=8000:lcm=predicate:random_seed=2497817476: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)
% 9.92/2.16 % (3034323)Refutation not found, incomplete strategy
% 9.92/2.16 % (3034323)------------------------------
% 9.92/2.16 % (3034323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.16 % (3034323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.16 % (3034323)CaDiCaL version: 2.1.3
% 9.92/2.16 % (3034323)Termination reason: Refutation not found, incomplete strategy
% 9.92/2.16 % (3034323)Time elapsed: 0.002 s
% 9.92/2.16 % (3034323)Peak memory usage: 88 MB
% 9.92/2.16 % (3034323)Instructions burned: 1 (million)
% 9.92/2.16 % (3034321)Instruction limit reached!
% 9.92/2.16 % (3034321)------------------------------
% 9.92/2.16 % (3034321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.16 % (3034321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.16 % (3034321)CaDiCaL version: 2.1.3
% 9.92/2.16 % (3034321)Termination reason: Instruction limit
% 9.92/2.16 % (3034321)Termination phase: Saturation
% 9.92/2.16 % (3034321)Time elapsed: 0.066 s
% 9.92/2.16 % (3034321)Peak memory usage: 88 MB
% 9.92/2.16 % (3034321)Instructions burned: 120 (million)
% 9.92/2.16 % (3034322)Instruction limit reached!
% 9.92/2.16 % (3034322)------------------------------
% 9.92/2.16 % (3034322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.16 % (3034322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.16 % (3034322)CaDiCaL version: 2.1.3
% 9.92/2.16 % (3034322)Termination reason: Instruction limit
% 9.92/2.16 % (3034322)Termination phase: Saturation
% 9.92/2.16 % (3034322)Time elapsed: 0.082 s
% 9.92/2.16 % (3034322)Peak memory usage: 90 MB
% 9.92/2.16 % (3034322)Instructions burned: 139 (million)
% 9.92/2.16 % (3034327)lrs+10_1_sil=8000:sp=occurrence:random_seed=3228333679:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.92/2.16 % (3034327)Instruction limit reached!
% 9.92/2.16 % (3034327)------------------------------
% 9.92/2.16 % (3034327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.16 % (3034327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.16 % (3034327)CaDiCaL version: 2.1.3
% 9.92/2.16 % (3034327)Termination reason: Instruction limit
% 9.92/2.16 % (3034327)Termination phase: Saturation
% 9.92/2.16 % (3034327)Time elapsed: 0.093 s
% 9.92/2.16 % (3034327)Peak memory usage: 91 MB
% 9.92/2.16 % (3034327)Instructions burned: 285 (million)
% 6.60/2.20 % (3034333)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2506934617:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.60/2.20 % (3034332)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3727739234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.60/2.20 % (3034323)------------------------------
% 6.60/2.20 % (3034323)------------------------------
% 6.60/2.20 % (3034336)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=3241280183:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.60/2.20 % (3034332)Instruction limit reached!
% 6.60/2.20 % (3034332)------------------------------
% 6.60/2.20 % (3034332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034332)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034332)Termination reason: Instruction limit
% 6.60/2.20 % (3034332)Termination phase: Saturation
% 6.60/2.20 % (3034332)Time elapsed: 0.095 s
% 6.60/2.20 % (3034332)Peak memory usage: 90 MB
% 6.60/2.20 % (3034332)Instructions burned: 157 (million)
% 6.60/2.20 % (3034339)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4183068634:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.60/2.20 % (3034336)Instruction limit reached!
% 6.60/2.20 % (3034336)------------------------------
% 6.60/2.20 % (3034336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034336)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034336)Termination reason: Instruction limit
% 6.60/2.20 % (3034336)Termination phase: Saturation
% 6.60/2.20 % (3034336)Time elapsed: 0.086 s
% 6.60/2.20 % (3034336)Peak memory usage: 92 MB
% 6.60/2.20 % (3034336)Instructions burned: 249 (million)
% 6.60/2.20 % (3034333)Instruction limit reached!
% 6.60/2.20 % (3034333)------------------------------
% 6.60/2.20 % (3034333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034333)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034333)Termination reason: Instruction limit
% 6.60/2.20 % (3034333)Termination phase: Saturation
% 6.60/2.20 % (3034333)Time elapsed: 0.201 s
% 6.60/2.20 % (3034333)Peak memory usage: 92 MB
% 6.60/2.20 % (3034333)Instructions burned: 326 (million)
% 6.60/2.20 % (3034378)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1254941223:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.60/2.20 % (3034408)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1887306206:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.60/2.20 % (3034408)Instruction limit reached!
% 6.60/2.20 % (3034408)------------------------------
% 6.60/2.20 % (3034408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034408)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034408)Termination reason: Instruction limit
% 6.60/2.20 % (3034408)Termination phase: Saturation
% 6.60/2.20 % (3034408)Time elapsed: 0.040 s
% 6.60/2.20 % (3034408)Peak memory usage: 90 MB
% 6.60/2.20 % (3034408)Instructions burned: 116 (million)
% 6.60/2.20 % (3034339)Instruction limit reached!
% 6.60/2.20 % (3034339)------------------------------
% 6.60/2.20 % (3034339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034339)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034339)Termination reason: Instruction limit
% 6.60/2.20 % (3034339)Termination phase: Saturation
% 6.60/2.20 % (3034339)Time elapsed: 0.171 s
% 6.60/2.20 % (3034339)Peak memory usage: 91 MB
% 6.60/2.20 % (3034339)Instructions burned: 295 (million)
% 6.60/2.20 % (3034419)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3775150861:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.60/2.20 % (3034419)Refutation not found, incomplete strategy
% 6.60/2.20 % (3034419)------------------------------
% 6.60/2.20 % (3034419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034419)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034419)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.20 % (3034419)Time elapsed: 0.001 s
% 6.60/2.20 % (3034419)Peak memory usage: 87 MB
% 6.60/2.20 % (3034419)Instructions burned: 1 (million)
% 6.60/2.20 % (3034319)Refutation not found, incomplete strategy
% 6.60/2.20 % (3034319)------------------------------
% 6.60/2.20 % (3034319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034319)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034319)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.20 % (3034319)Time elapsed: 0.659 s
% 6.60/2.20 % (3034319)Peak memory usage: 128 MB
% 6.60/2.20 % (3034319)Instructions burned: 899 (million)
% 6.60/2.20 % (3034452)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1731090756:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.60/2.20 % (3034452)Instruction limit reached!
% 6.60/2.20 % (3034452)------------------------------
% 6.60/2.20 % (3034452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034452)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034452)Termination reason: Instruction limit
% 6.60/2.20 % (3034452)Termination phase: Saturation
% 6.60/2.20 % (3034452)Time elapsed: 0.036 s
% 6.60/2.20 % (3034452)Peak memory usage: 89 MB
% 6.60/2.20 % (3034452)Instructions burned: 116 (million)
% 6.60/2.20 % (3034453)lrs+10_1_sil=8000:sp=occurrence:random_seed=3939092833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.60/2.20 % (3034473)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1818643608:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.60/2.20 % (3034473)Refutation not found, incomplete strategy
% 6.60/2.20 % (3034473)------------------------------
% 6.60/2.20 % (3034473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034473)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034473)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.20 % (3034473)Time elapsed: 0.001 s
% 6.60/2.20 % (3034473)Peak memory usage: 88 MB
% 6.60/2.20 % (3034473)Instructions burned: 1 (million)
% 6.60/2.20 % (3034419)------------------------------
% 6.60/2.20 % (3034419)------------------------------
% 6.60/2.20 % (3034319)------------------------------
% 6.60/2.20 % (3034319)------------------------------
% 6.60/2.20 % (3034473)------------------------------
% 6.60/2.20 % (3034473)------------------------------
% 6.60/2.20 % (3034506)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4272842374:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.60/2.20 % (3034318)First to succeed.
% 6.60/2.20 % (3034318)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3034310"
% 6.60/2.20 % (3034507)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2619036299:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.60/2.20 % (3034507)Refutation not found, incomplete strategy
% 6.60/2.20 % (3034507)------------------------------
% 6.60/2.20 % (3034507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034507)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034507)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.20 % (3034507)Time elapsed: 0.003 s
% 6.60/2.20 % (3034507)Peak memory usage: 89 MB
% 6.60/2.20 % (3034507)Instructions burned: 2 (million)
% 6.60/2.20 % (3034508)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2252644434:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 6.60/2.20 % (3034508)Instruction limit reached!
% 6.60/2.20 % (3034508)------------------------------
% 6.60/2.20 % (3034508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034508)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034508)Termination reason: Instruction limit
% 6.60/2.20 % (3034508)Termination phase: Saturation
% 6.60/2.20 % (3034508)Time elapsed: 0.152 s
% 6.60/2.20 % (3034508)Peak memory usage: 90 MB
% 6.60/2.20 % (3034508)Instructions burned: 599 (million)
% 6.60/2.20 % (3034453)Instruction limit reached!
% 6.60/2.20 % (3034453)------------------------------
% 6.60/2.20 % (3034453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.20 % (3034453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.20 % (3034453)CaDiCaL version: 2.1.3
% 6.60/2.20 % (3034453)Termination reason: Instruction limit
% 6.60/2.20 % (3034453)Termination phase: Saturation
% 6.60/2.20 % (3034453)Time elapsed: 0.547 s
% 6.60/2.20 % (3034453)Peak memory usage: 98 MB
% 6.60/2.20 % (3034453)Instructions burned: 907 (million)
% 6.60/2.20 % (3034318)Refutation found. Thanks to Tanya!
% 6.60/2.20 % SZS status Theorem for theBenchmark
% 6.60/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 10.59/2.40 % (3034318)------------------------------
% 10.59/2.40 % (3034318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.40 % (3034318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.40 % (3034318)CaDiCaL version: 2.1.3
% 10.59/2.40 % (3034318)Termination reason: Refutation
% 10.59/2.40 % (3034318)Time elapsed: 1.036 s
% 10.59/2.40 % (3034318)Peak memory usage: 134 MB
% 10.59/2.40 % (3034318)Instructions burned: 1588 (million)
% 10.59/2.40 % (3034318)------------------------------
% 10.59/2.40 % (3034318)------------------------------
% 10.59/2.40 % (3034310)Success in time 1.433 s
% 10.59/2.40 % Vampire exiting
%------------------------------------------------------------------------------