%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL041+1 : 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 : n026.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 12:34:04 PM UTC 2026
% Result : Theorem 22.72s 4.57s
% Output : Refutation 23.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 14
% Syntax : Number of formulae : 213 ( 209 unt; 0 def)
% Number of atoms : 217 ( 216 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 348 ( 346 !; 2 ?)
% 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
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(f14,conjecture,
! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( ? [X1] : zero != meet(composition(X0,X1),composition(X0,complement(X1)))
& join(composition(converse(X0),X0),one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( zero != meet(composition(sK0,sK1),composition(sK0,complement(sK1)))
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
fof(f18,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
zero != meet(composition(sK0,sK1),composition(sK0,complement(sK1))),
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(f31,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
zero != complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,complement(sK1))))),
inference(definition_unfolding,[],[f19,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,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f18,f27]) ).
fof(f38,plain,
zero = complement(join(zero,complement(zero))),
inference(superposition,[],[f34,f34]) ).
fof(f39,plain,
zero = complement(top),
inference(forward_demodulation,[],[f38,f20]) ).
fof(f44,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(f47,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,[],[f44,f27]) ).
fof(f50,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f47,f27]) ).
fof(f52,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f50,f26]) ).
fof(f59,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f60,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f69,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f32]) ).
fof(f86,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f36,f32]) ).
fof(f93,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(f101,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f153,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f26,f20]) ).
fof(f173,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X0),X1),X0),
inference(superposition,[],[f153,f35]) ).
fof(f190,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f173,f27]) ).
fof(f194,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f190,f153]) ).
fof(f197,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f29,f32]) ).
fof(f200,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(f290,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f197,f30]) ).
fof(f300,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f290,f32]) ).
fof(f311,plain,
one = converse(one),
inference(superposition,[],[f30,f300]) ).
fof(f393,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f69,f20]) ).
fof(f491,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)),
inference(superposition,[],[f26,f86]) ).
fof(f531,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f300,f311]) ).
fof(f549,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f86,f531]) ).
fof(f550,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f549,f300]) ).
fof(f565,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,[],[f93,f550]) ).
fof(f569,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f565,f35]) ).
fof(f648,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f93,f60]) ).
fof(f653,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f648,f27]) ).
fof(f708,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f569,f52]) ).
fof(f711,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f569,f569]) ).
fof(f714,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f569,f34]) ).
fof(f721,plain,
! [X0] : join(complement(complement(complement(X0))),complement(X0)) = join(complement(complement(complement(X0))),complement(join(complement(complement(complement(X0))),complement(complement(X0))))),
inference(superposition,[],[f52,f569]) ).
fof(f728,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f153,f569]) ).
fof(f737,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,X1),
inference(forward_demodulation,[],[f728,f194]) ).
fof(f744,plain,
! [X0] : join(complement(complement(complement(X0))),complement(X0)) = join(complement(complement(complement(X0))),complement(join(complement(complement(X0)),complement(complement(complement(X0)))))),
inference(forward_demodulation,[],[f721,f27]) ).
fof(f754,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f737,f20]) ).
fof(f761,plain,
! [X0] : join(complement(complement(complement(X0))),complement(X0)) = join(complement(X0),complement(join(complement(complement(complement(complement(X0)))),complement(complement(complement(X0)))))),
inference(forward_demodulation,[],[f744,f653]) ).
fof(f770,plain,
! [X0] : join(complement(complement(complement(X0))),complement(X0)) = join(complement(X0),complement(join(complement(complement(complement(X0))),complement(complement(complement(complement(X0))))))),
inference(forward_demodulation,[],[f761,f27]) ).
fof(f779,plain,
! [X0] : join(complement(X0),zero) = join(complement(complement(complement(X0))),complement(X0)),
inference(forward_demodulation,[],[f770,f34]) ).
fof(f785,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),zero),
inference(forward_demodulation,[],[f779,f27]) ).
fof(f787,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f785,f27]) ).
fof(f788,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f787,f711]) ).
fof(f800,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f708,f27]) ).
fof(f807,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f708,f393]) ).
fof(f876,plain,
top = complement(zero),
inference(superposition,[],[f20,f788]) ).
fof(f898,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f60,f754]) ).
fof(f899,plain,
top = converse(top),
inference(superposition,[],[f393,f754]) ).
fof(f900,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f898,f39]) ).
fof(f906,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f900,f788]) ).
fof(f907,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f906,f27]) ).
fof(f908,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f907,f788]) ).
fof(f914,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f35,f908]) ).
fof(f920,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f59,f908]) ).
fof(f927,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f550,f908]) ).
fof(f932,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f788,f908]) ).
fof(f972,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f920,f27]) ).
fof(f1012,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f920,f153]) ).
fof(f1036,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f60,f920]) ).
fof(f1041,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1036,f908]) ).
fof(f1061,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,[],[f1012,f27]) ).
fof(f1094,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1041,f27]) ).
fof(f1112,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(complement(complement(X1)),X0)))),
inference(forward_demodulation,[],[f1061,f27]) ).
fof(f1135,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1094,f26]) ).
fof(f1151,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1112,f908]) ).
fof(f1167,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1135,f708]) ).
fof(f1178,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(top),complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1151,f754]) ).
fof(f1188,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1167,f908]) ).
fof(f1196,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1178,f39]) ).
fof(f1202,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(X1,join(X1,X0))),
inference(forward_demodulation,[],[f1196,f788]) ).
fof(f1209,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1188,f27]) ).
fof(f1217,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f1188,f393]) ).
fof(f1244,plain,
! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(X1,join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f101,f1188]) ).
fof(f1306,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f1217,f27]) ).
fof(f1338,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1306,f807]) ).
fof(f1413,plain,
! [X0,X1] : join(complement(X1),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1209,f1209]) ).
fof(f1414,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(converse(complement(converse(X0))),complement(converse(top))),
inference(superposition,[],[f1209,f393]) ).
fof(f1503,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(complement(converse(top)),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f1414,f27]) ).
fof(f1504,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1413,f972]) ).
fof(f1530,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(complement(top),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f1503,f899]) ).
fof(f1553,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(zero,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f1530,f39]) ).
fof(f1568,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f1553,f932]) ).
fof(f2001,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1)))))),X2)),
inference(superposition,[],[f93,f914]) ).
fof(f2007,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f60,f914]) ).
fof(f2020,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f2007,f908]) ).
fof(f2026,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),X2)),
inference(forward_demodulation,[],[f2001,f908]) ).
fof(f2077,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f2020,f27]) ).
fof(f2083,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(complement(join(join(X0,complement(X1)),complement(join(X0,X1)))),X2)),
inference(forward_demodulation,[],[f2026,f27]) ).
fof(f2120,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f2077,f26]) ).
fof(f2125,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(complement(join(X0,join(complement(X1),complement(join(X0,X1))))),X2)),
inference(forward_demodulation,[],[f2083,f26]) ).
fof(f2158,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2120,f800]) ).
fof(f2161,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X0)),join(complement(join(X0,complement(X1))),X2)),
inference(forward_demodulation,[],[f2125,f1504]) ).
fof(f2186,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2158,f908]) ).
fof(f2189,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(complement(join(X0,complement(X1))),X2)),
inference(forward_demodulation,[],[f2161,f908]) ).
fof(f2212,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X2,join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f2189,f1244]) ).
fof(f2231,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f2212,f908]) ).
fof(f2256,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f2186,f27]) ).
fof(f2776,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(X0,join(X1,X1))),
inference(superposition,[],[f1202,f101]) ).
fof(f2848,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f2776,f927]) ).
fof(f3064,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f69,f1338]) ).
fof(f3069,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3064,f32]) ).
fof(f5147,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f27,f2231]) ).
fof(f6444,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f200,f29]) ).
fof(f6492,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f6444,f22]) ).
fof(f6510,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f6492,f22]) ).
fof(f6519,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f6510,f29]) ).
fof(f6543,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f6519]) ).
fof(f6555,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f6543,f32]) ).
fof(f6591,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f6555,f30]) ).
fof(f6607,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f26,f6555]) ).
fof(f6617,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1188,f6555]) ).
fof(f6622,plain,
! [X2,X0,X1] : join(composition(X0,X1),complement(composition(X0,X2))) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f2186,f6555]) ).
fof(f6625,plain,
! [X2,X0,X1] : join(composition(X0,X2),complement(composition(X0,X1))) = join(composition(X0,X2),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f2256,f6555]) ).
fof(f6672,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),sK0))),
inference(superposition,[],[f6591,f37]) ).
fof(f6777,plain,
! [X0] : join(X0,composition(X0,composition(converse(sK0),sK0))) = X0,
inference(forward_demodulation,[],[f6672,f30]) ).
fof(f6851,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),composition(converse(sK0),sK0)))),
inference(superposition,[],[f69,f6777]) ).
fof(f6853,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(composition(converse(sK0),sK0)),X0)),
inference(forward_demodulation,[],[f6851,f197]) ).
fof(f6882,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(composition(converse(sK0),sK0),X0)),
inference(forward_demodulation,[],[f6853,f197]) ).
fof(f6900,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f6882,f31]) ).
fof(f6905,plain,
! [X0] : join(X0,composition(converse(sK0),composition(sK0,X0))) = X0,
inference(forward_demodulation,[],[f6900,f32]) ).
fof(f6930,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(converse(sK0),composition(sK0,X0))),complement(X0)),
inference(superposition,[],[f1504,f6905]) ).
fof(f6969,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(composition(converse(sK0),composition(sK0,X0)))),
inference(forward_demodulation,[],[f6930,f27]) ).
fof(f7818,plain,
! [X0,X1] : join(complement(composition(X0,complement(X1))),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,top))),
inference(superposition,[],[f6617,f20]) ).
fof(f7965,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f7818,f27]) ).
fof(f9937,plain,
! [X0] : complement(X0) = join(complement(X0),converse(complement(converse(X0)))),
inference(superposition,[],[f3069,f908]) ).
fof(f10085,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(complement(converse(complement(converse(X0)))),complement(complement(X0))),
inference(superposition,[],[f1504,f9937]) ).
fof(f10087,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,join(converse(complement(converse(X0))),complement(X0))),
inference(superposition,[],[f2231,f9937]) ).
fof(f10101,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,join(complement(X0),converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f10087,f5147]) ).
fof(f10103,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(complement(complement(X0)),complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f10085,f27]) ).
fof(f10126,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f10101,f1568]) ).
fof(f10127,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f10103,f908]) ).
fof(f10141,plain,
! [X0] : complement(converse(complement(converse(X0)))) = X0,
inference(forward_demodulation,[],[f10127,f1338]) ).
fof(f12469,plain,
! [X0,X1] : join(composition(X1,X0),complement(composition(X1,X0))) = join(composition(X1,X0),complement(composition(X1,zero))),
inference(superposition,[],[f6622,f714]) ).
fof(f12592,plain,
! [X0,X1] : top = join(composition(X1,X0),complement(composition(X1,zero))),
inference(forward_demodulation,[],[f12469,f20]) ).
fof(f15222,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,X2)) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),X2))),
inference(superposition,[],[f491,f6555]) ).
fof(f15514,plain,
! [X2,X0,X1] : join(complement(X2),composition(X1,X0)) = join(complement(X2),composition(X1,join(X0,complement(composition(converse(X1),X2))))),
inference(superposition,[],[f15222,f27]) ).
fof(f16109,plain,
! [X0] : join(complement(composition(sK0,X0)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X0)),composition(sK0,complement(composition(converse(sK0),composition(sK0,X0))))),
inference(superposition,[],[f15514,f6969]) ).
fof(f16210,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),composition(sK0,complement(X0))),
inference(forward_demodulation,[],[f16109,f86]) ).
fof(f16827,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X0)),
inference(superposition,[],[f16210,f908]) ).
fof(f16831,plain,
complement(composition(sK0,zero)) = join(complement(composition(sK0,zero)),composition(sK0,top)),
inference(superposition,[],[f16210,f876]) ).
fof(f16840,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,X0),composition(sK0,complement(X0)))),complement(complement(composition(sK0,X0)))),
inference(superposition,[],[f972,f16210]) ).
fof(f16882,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(composition(sK0,X0))),complement(join(composition(sK0,X0),composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f16840,f27]) ).
fof(f16888,plain,
complement(composition(sK0,zero)) = join(composition(sK0,top),complement(composition(sK0,zero))),
inference(forward_demodulation,[],[f16831,f27]) ).
fof(f16891,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f16827,f27]) ).
fof(f16906,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(composition(sK0,X0))),complement(composition(sK0,join(X0,complement(X0))))),
inference(forward_demodulation,[],[f16882,f6555]) ).
fof(f16910,plain,
top = complement(composition(sK0,zero)),
inference(forward_demodulation,[],[f16888,f12592]) ).
fof(f16913,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f16891,f7965]) ).
fof(f16922,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(composition(sK0,X0))),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f16906,f20]) ).
fof(f16933,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),complement(complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f16922,f27]) ).
fof(f16936,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),composition(sK0,X0)),
inference(forward_demodulation,[],[f16933,f908]) ).
fof(f17325,plain,
! [X0,X1] : join(composition(sK0,join(X1,X0)),complement(composition(sK0,top))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f6607,f16913]) ).
fof(f17397,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),composition(sK0,join(X1,X0))),
inference(forward_demodulation,[],[f17325,f27]) ).
fof(f17422,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,complement(X0)))) = complement(composition(sK0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f17397,f16936]) ).
fof(f17481,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(X1,converse(complement(converse(X0))))))),
inference(superposition,[],[f17422,f10141]) ).
fof(f17500,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(X1))),composition(sK0,X0)),
inference(superposition,[],[f27,f17422]) ).
fof(f17512,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X1))),complement(complement(composition(sK0,complement(join(X0,X1)))))) = join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X1)))),
inference(superposition,[],[f1209,f17422]) ).
fof(f17544,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X1)))) = join(complement(composition(sK0,complement(X1))),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f17512,f908]) ).
fof(f17567,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f17481,f10126]) ).
fof(f17586,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X1)))) = complement(composition(sK0,complement(join(complement(join(X0,X1)),X1)))),
inference(forward_demodulation,[],[f17544,f17500]) ).
fof(f17611,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X1)))) = join(composition(sK0,X1),complement(composition(sK0,join(X0,X1)))),
inference(forward_demodulation,[],[f17586,f17567]) ).
fof(f17626,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,X0))) = join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f17611,f6625]) ).
fof(f17648,plain,
! [X0,X1] : join(composition(sK0,X1),complement(composition(sK0,complement(X0)))) = complement(composition(sK0,complement(join(X0,X1)))),
inference(superposition,[],[f17567,f908]) ).
fof(f17773,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),X0))) = complement(join(composition(sK0,X0),complement(composition(sK0,X1)))),
inference(superposition,[],[f908,f17567]) ).
fof(f18658,plain,
! [X0,X1] : complement(complement(composition(sK0,complement(join(X0,X1))))) = complement(join(complement(composition(sK0,complement(X0))),composition(sK0,X1))),
inference(superposition,[],[f2848,f17648]) ).
fof(f18676,plain,
! [X0,X1] : complement(complement(composition(sK0,complement(join(X0,X1))))) = complement(complement(composition(sK0,complement(join(X1,X0))))),
inference(forward_demodulation,[],[f18658,f17500]) ).
fof(f18725,plain,
! [X0,X1] : composition(sK0,complement(join(X1,X0))) = complement(complement(composition(sK0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f18676,f908]) ).
fof(f18759,plain,
! [X0,X1] : composition(sK0,complement(join(X0,X1))) = composition(sK0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f18725,f908]) ).
fof(f18852,plain,
zero != complement(join(composition(sK0,sK1),complement(composition(sK0,sK1)))),
inference(superposition,[],[f33,f17626]) ).
fof(f18960,plain,
zero != composition(sK0,complement(join(complement(sK1),sK1))),
inference(forward_demodulation,[],[f18852,f17773]) ).
fof(f19013,plain,
zero != composition(sK0,complement(join(sK1,complement(sK1)))),
inference(forward_demodulation,[],[f18960,f18759]) ).
fof(f19042,plain,
zero != composition(sK0,complement(top)),
inference(forward_demodulation,[],[f19013,f20]) ).
fof(f19066,plain,
zero != composition(sK0,zero),
inference(forward_demodulation,[],[f19042,f39]) ).
fof(f21126,plain,
complement(top) = composition(sK0,zero),
inference(superposition,[],[f908,f16910]) ).
fof(f21185,plain,
zero = composition(sK0,zero),
inference(forward_demodulation,[],[f21126,f39]) ).
fof(f21229,plain,
$false,
inference(forward_subsumption_resolution,[],[f21185,f19066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL041+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 % Computer : n026.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sun Sep 27 22:59:12 UTC 2026
% 0.23/0.50 % CPUTime :
% 0.23/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.55 Running first-order theorem proving
% 0.23/0.55 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
% 22.17/4.42 % (3304329)Detected formulas, will run a generic FOF schedule.
% 22.17/4.42 % (3304337)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=398724417:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 22.17/4.42 % (3304334)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=2178365316:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 22.17/4.42 % (3304335)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=1537460359:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 22.17/4.42 % (3304337)Instruction limit reached!
% 22.17/4.42 % (3304337)------------------------------
% 22.17/4.42 % (3304337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.17/4.42 % (3304337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.17/4.42 % (3304337)CaDiCaL version: 2.1.3
% 22.17/4.42 % (3304337)Termination reason: Instruction limit
% 22.17/4.42 % (3304337)Termination phase: Saturation
% 22.17/4.42 % (3304337)Time elapsed: 0.058 s
% 22.17/4.42 % (3304337)Peak memory usage: 89 MB
% 22.17/4.42 % (3304337)Instructions burned: 109 (million)
% 22.17/4.42 % (3304336)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=3063050822:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 22.17/4.42 % (3304340)dis-21_1_sil=8000:lcm=predicate:random_seed=2121588713: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)
% 22.17/4.42 % (3304338)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4099935875:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 22.17/4.42 % (3304339)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=517658425:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 22.17/4.42 % (3304340)Refutation not found, incomplete strategy
% 22.17/4.42 % (3304340)------------------------------
% 22.17/4.42 % (3304340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.17/4.42 % (3304340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.17/4.42 % (3304340)CaDiCaL version: 2.1.3
% 22.17/4.42 % (3304340)Termination reason: Refutation not found, incomplete strategy
% 22.17/4.42 % (3304340)Time elapsed: 0.002 s
% 22.17/4.42 % (3304340)Peak memory usage: 88 MB
% 22.17/4.42 % (3304340)Instructions burned: 1 (million)
% 22.17/4.42 % (3304338)Instruction limit reached!
% 22.17/4.42 % (3304338)------------------------------
% 22.17/4.42 % (3304338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.17/4.42 % (3304338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.17/4.42 % (3304338)CaDiCaL version: 2.1.3
% 22.17/4.42 % (3304338)Termination reason: Instruction limit
% 22.17/4.42 % (3304338)Termination phase: Saturation
% 22.17/4.42 % (3304338)Time elapsed: 0.110 s
% 22.17/4.42 % (3304338)Peak memory usage: 88 MB
% 22.17/4.42 % (3304338)Instructions burned: 119 (million)
% 22.17/4.42 % (3304339)Instruction limit reached!
% 22.17/4.42 % (3304339)------------------------------
% 22.17/4.42 % (3304339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.17/4.42 % (3304339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.17/4.42 % (3304339)CaDiCaL version: 2.1.3
% 22.17/4.42 % (3304339)Termination reason: Instruction limit
% 22.17/4.42 % (3304339)Termination phase: Saturation
% 22.17/4.42 % (3304339)Time elapsed: 0.136 s
% 22.17/4.42 % (3304339)Peak memory usage: 89 MB
% 22.17/4.42 % (3304339)Instructions burned: 140 (million)
% 22.17/4.42 % (3304344)lrs+10_1_sil=8000:sp=occurrence:random_seed=1928745146:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 22.17/4.42 % (3304344)Instruction limit reached!
% 22.17/4.42 % (3304344)------------------------------
% 22.17/4.42 % (3304344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.17/4.42 % (3304344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.17/4.42 % (3304344)CaDiCaL version: 2.1.3
% 22.17/4.42 % (3304344)Termination reason: Instruction limit
% 22.17/4.42 % (3304344)Termination phase: Saturation
% 22.17/4.42 % (3304344)Time elapsed: 0.154 s
% 22.17/4.42 % (3304344)Peak memory usage: 91 MB
% 22.17/4.42 % (3304344)Instructions burned: 286 (million)
% 22.72/4.57 % (3304349)lrs+10_1_sil=32000:urr=on:br=off:random_seed=649924199:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 22.72/4.57 % (3304350)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4123851393:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 22.72/4.57 % (3304340)------------------------------
% 22.72/4.57 % (3304340)------------------------------
% 22.72/4.57 % (3304352)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=990637086:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 22.72/4.57 % (3304349)Instruction limit reached!
% 22.72/4.57 % (3304349)------------------------------
% 22.72/4.57 % (3304349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304349)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304349)Termination reason: Instruction limit
% 22.72/4.57 % (3304349)Termination phase: Saturation
% 22.72/4.57 % (3304349)Time elapsed: 0.164 s
% 22.72/4.57 % (3304349)Peak memory usage: 90 MB
% 22.72/4.57 % (3304349)Instructions burned: 157 (million)
% 22.72/4.57 % (3304355)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2427623341:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 22.72/4.57 % (3304352)Instruction limit reached!
% 22.72/4.57 % (3304352)------------------------------
% 22.72/4.57 % (3304352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304352)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304352)Termination reason: Instruction limit
% 22.72/4.57 % (3304352)Termination phase: Saturation
% 22.72/4.57 % (3304352)Time elapsed: 0.137 s
% 22.72/4.57 % (3304352)Peak memory usage: 92 MB
% 22.72/4.57 % (3304352)Instructions burned: 249 (million)
% 22.72/4.57 % (3304350)Instruction limit reached!
% 22.72/4.57 % (3304350)------------------------------
% 22.72/4.57 % (3304350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304350)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304350)Termination reason: Instruction limit
% 22.72/4.57 % (3304350)Termination phase: Saturation
% 22.72/4.57 % (3304350)Time elapsed: 0.320 s
% 22.72/4.57 % (3304350)Peak memory usage: 91 MB
% 22.72/4.57 % (3304350)Instructions burned: 326 (million)
% 22.72/4.57 % (3304357)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2168162326:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 22.72/4.57 % (3304359)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=791742891:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 22.72/4.57 % (3304359)Instruction limit reached!
% 22.72/4.57 % (3304359)------------------------------
% 22.72/4.57 % (3304359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304359)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304359)Termination reason: Instruction limit
% 22.72/4.57 % (3304359)Termination phase: Saturation
% 22.72/4.57 % (3304359)Time elapsed: 0.058 s
% 22.72/4.57 % (3304359)Peak memory usage: 89 MB
% 22.72/4.57 % (3304359)Instructions burned: 114 (million)
% 22.72/4.57 % (3304360)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=178049884:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 22.72/4.57 % (3304355)Instruction limit reached!
% 22.72/4.57 % (3304355)------------------------------
% 22.72/4.57 % (3304355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304355)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304355)Termination reason: Instruction limit
% 22.72/4.57 % (3304355)Termination phase: Saturation
% 22.72/4.57 % (3304355)Time elapsed: 0.294 s
% 22.72/4.57 % (3304355)Peak memory usage: 90 MB
% 22.72/4.57 % (3304355)Instructions burned: 295 (million)
% 22.72/4.57 % (3304360)Refutation not found, incomplete strategy
% 22.72/4.57 % (3304360)------------------------------
% 22.72/4.57 % (3304360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304360)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304360)Termination reason: Refutation not found, incomplete strategy
% 22.72/4.57 % (3304360)Time elapsed: 0.002 s
% 22.72/4.57 % (3304360)Peak memory usage: 88 MB
% 22.72/4.57 % (3304363)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3103171671:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 22.72/4.57 % (3304365)lrs+10_1_sil=8000:sp=occurrence:random_seed=4181070620:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 22.72/4.57 % (3304363)Instruction limit reached!
% 22.72/4.57 % (3304363)------------------------------
% 22.72/4.57 % (3304363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304363)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304363)Termination reason: Instruction limit
% 22.72/4.57 % (3304363)Termination phase: Saturation
% 22.72/4.57 % (3304363)Time elapsed: 0.112 s
% 22.72/4.57 % (3304363)Peak memory usage: 89 MB
% 22.72/4.57 % (3304363)Instructions burned: 115 (million)
% 22.72/4.57 % (3304360)------------------------------
% 22.72/4.57 % (3304360)------------------------------
% 22.72/4.57 % (3304368)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1520623430:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 22.72/4.57 % (3304369)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4065516637:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 22.72/4.57 % (3304368)Instruction limit reached!
% 22.72/4.57 % (3304368)------------------------------
% 22.72/4.57 % (3304368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304368)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304368)Termination reason: Instruction limit
% 22.72/4.57 % (3304368)Termination phase: Saturation
% 22.72/4.57 % (3304368)Time elapsed: 0.387 s
% 22.72/4.57 % (3304368)Peak memory usage: 90 MB
% 22.72/4.57 % (3304368)Instructions burned: 438 (million)
% 22.72/4.57 % (3304365)Instruction limit reached!
% 22.72/4.57 % (3304365)------------------------------
% 22.72/4.57 % (3304365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304365)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304365)Termination reason: Instruction limit
% 22.72/4.57 % (3304365)Termination phase: Saturation
% 22.72/4.57 % (3304365)Time elapsed: 0.880 s
% 22.72/4.57 % (3304365)Peak memory usage: 96 MB
% 22.72/4.57 % (3304365)Instructions burned: 907 (million)
% 22.72/4.57 % (3304372)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3508647378:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 22.72/4.57 % (3304372)Refutation not found, incomplete strategy
% 22.72/4.57 % (3304372)------------------------------
% 22.72/4.57 % (3304372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304372)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304372)Termination reason: Refutation not found, incomplete strategy
% 22.72/4.57 % (3304372)Time elapsed: 0.003 s
% 22.72/4.57 % (3304372)Peak memory usage: 89 MB
% 22.72/4.57 % (3304372)Instructions burned: 1 (million)
% 22.72/4.57 % (3304373)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1076723496:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 22.72/4.57 % (3304372)------------------------------
% 22.72/4.57 % (3304372)------------------------------
% 22.72/4.57 % (3304335)First to succeed.
% 22.72/4.57 % (3304335)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3304329"
% 22.72/4.57 % (3304376)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1928120713:st=3:i=13193:sd=3:ss=axioms_2972 on theBenchmark for (2972ds/13193Mi)
% 22.72/4.57 % (3304373)Instruction limit reached!
% 22.72/4.57 % (3304373)------------------------------
% 22.72/4.57 % (3304373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.72/4.57 % (3304373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.72/4.57 % (3304373)CaDiCaL version: 2.1.3
% 22.72/4.57 % (3304373)Termination reason: Instruction limit
% 22.72/4.57 % (3304373)Termination phase: Saturation
% 22.72/4.57 % (3304373)Time elapsed: 0.573 s
% 22.72/4.57 % (3304373)Peak memory usage: 94 MB
% 22.72/4.57 % (3304373)Instructions burned: 592 (million)
% 22.72/4.57 % (3304335)Refutation found. Thanks to Tanya!
% 22.72/4.57 % SZS status Theorem for theBenchmark
% 22.72/4.57 % SZS output start Proof for theBenchmark
% See solution above
% 23.97/4.95 % (3304335)------------------------------
% 23.97/4.95 % (3304335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.97/4.95 % (3304335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.97/4.95 % (3304335)CaDiCaL version: 2.1.3
% 23.97/4.95 % (3304335)Termination reason: Refutation
% 23.97/4.95 % (3304335)Time elapsed: 2.587 s
% 23.97/4.95 % (3304335)Peak memory usage: 141 MB
% 23.97/4.95 % (3304335)Instructions burned: 2378 (million)
% 23.97/4.95 % (3304335)------------------------------
% 23.97/4.95 % (3304335)------------------------------
% 23.97/4.95 % (3304329)Success in time 3.24 s
% 23.97/4.95 % Vampire exiting
%------------------------------------------------------------------------------