%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL011+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:33:42 PM UTC 2026
% Result : Theorem 15.19s 4.15s
% Output : Refutation 23.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 13
% Syntax : Number of formulae : 154 ( 150 unt; 0 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 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 : 244 ( 241 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( zero != meet(composition(X1,X0),X2)
& meet(X0,composition(converse(X1),X2)) = zero ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( zero != meet(composition(sK1,sK0),sK2)
& zero = meet(sK0,composition(converse(sK1),sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
zero = meet(sK0,composition(converse(sK1),sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
zero != meet(composition(sK1,sK0),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
zero != complement(join(complement(composition(sK1,sK0)),complement(sK2))),
inference(definition_unfolding,[],[f19,f21]) ).
fof(f34,plain,
zero = complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))),
inference(definition_unfolding,[],[f18,f21]) ).
fof(f35,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f20,f21]) ).
fof(f36,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f30,f32]) ).
fof(f37,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f22,f32]) ).
fof(f38,plain,
zero = complement(top),
inference(forward_demodulation,[],[f35,f29]) ).
fof(f39,plain,
zero != complement(join(complement(sK2),complement(composition(sK1,sK0)))),
inference(forward_demodulation,[],[f33,f32]) ).
fof(f40,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f27,f28]) ).
fof(f48,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f36,f32]) ).
fof(f54,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f36,f36]) ).
fof(f56,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f36,f32]) ).
fof(f59,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,[],[f54,f32]) ).
fof(f84,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f37,f28]) ).
fof(f87,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f23,f28]) ).
fof(f90,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f23]) ).
fof(f114,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f31,f29]) ).
fof(f116,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f31,f36]) ).
fof(f125,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f32,f31]) ).
fof(f208,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)),
inference(superposition,[],[f31,f84]) ).
fof(f216,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f40,f29]) ).
fof(f433,plain,
composition(converse(sK1),sK2) = join(complement(join(complement(composition(converse(sK1),sK2)),sK0)),zero),
inference(superposition,[],[f56,f34]) ).
fof(f447,plain,
composition(converse(sK1),sK2) = join(zero,complement(join(complement(composition(converse(sK1),sK2)),sK0))),
inference(forward_demodulation,[],[f433,f32]) ).
fof(f474,plain,
composition(converse(sK1),sK2) = join(zero,complement(join(sK0,complement(composition(converse(sK1),sK2))))),
inference(forward_demodulation,[],[f447,f32]) ).
fof(f658,plain,
join(sK0,complement(composition(converse(sK1),sK2))) = join(complement(composition(converse(sK1),sK2)),complement(join(complement(join(sK0,complement(composition(converse(sK1),sK2)))),complement(zero)))),
inference(superposition,[],[f48,f474]) ).
fof(f683,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f116,f48]) ).
fof(f688,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f683,f32]) ).
fof(f707,plain,
join(sK0,complement(composition(converse(sK1),sK2))) = join(complement(composition(converse(sK1),sK2)),complement(join(complement(zero),complement(join(sK0,complement(composition(converse(sK1),sK2))))))),
inference(forward_demodulation,[],[f658,f32]) ).
fof(f770,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f87,f25]) ).
fof(f784,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f770,f28]) ).
fof(f800,plain,
one = converse(one),
inference(superposition,[],[f25,f784]) ).
fof(f807,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f784,f800]) ).
fof(f825,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f84,f807]) ).
fof(f826,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f825,f784]) ).
fof(f834,plain,
! [X0] : join(complement(X0),X0) = join(complement(X0),complement(join(complement(join(complement(X0),X0)),complement(X0)))),
inference(superposition,[],[f59,f826]) ).
fof(f841,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,[],[f116,f826]) ).
fof(f842,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f48,f826]) ).
fof(f846,plain,
! [X0] : join(X0,complement(join(complement(complement(complement(X0))),complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f842,f688]) ).
fof(f847,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f841,f36]) ).
fof(f854,plain,
! [X0] : join(complement(X0),X0) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),X0))))),
inference(forward_demodulation,[],[f834,f32]) ).
fof(f857,plain,
! [X0] : join(X0,complement(join(complement(complement(X0)),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f846,f32]) ).
fof(f864,plain,
! [X0] : join(X0,complement(X0)) = join(complement(X0),complement(join(complement(X0),complement(join(X0,complement(X0)))))),
inference(forward_demodulation,[],[f854,f32]) ).
fof(f867,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f857,f29]) ).
fof(f873,plain,
! [X0] : top = join(complement(X0),complement(join(complement(X0),complement(top)))),
inference(forward_demodulation,[],[f864,f29]) ).
fof(f876,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f867,f38]) ).
fof(f881,plain,
! [X0] : top = join(complement(X0),complement(join(complement(X0),zero))),
inference(forward_demodulation,[],[f873,f38]) ).
fof(f887,plain,
! [X0] : top = join(complement(X0),complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f881,f32]) ).
fof(f896,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f32,f876]) ).
fof(f932,plain,
composition(converse(sK1),sK2) = complement(join(sK0,complement(composition(converse(sK1),sK2)))),
inference(superposition,[],[f474,f896]) ).
fof(f941,plain,
top = complement(zero),
inference(superposition,[],[f29,f896]) ).
fof(f970,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f847,f59]) ).
fof(f986,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),complement(X1))) = join(complement(X0),complement(join(complement(join(complement(X0),join(complement(complement(X0)),complement(X1)))),complement(X0)))),
inference(superposition,[],[f59,f847]) ).
fof(f996,plain,
! [X0] : zero = complement(join(complement(zero),complement(X0))),
inference(superposition,[],[f896,f847]) ).
fof(f999,plain,
! [X0] : zero = complement(join(top,complement(X0))),
inference(forward_demodulation,[],[f996,f941]) ).
fof(f1009,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),complement(X1))) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(X1))))))),
inference(forward_demodulation,[],[f986,f32]) ).
fof(f1032,plain,
! [X0,X1] : join(top,complement(X1)) = join(complement(X0),complement(join(complement(X0),complement(join(top,complement(X1)))))),
inference(forward_demodulation,[],[f1009,f114]) ).
fof(f1046,plain,
! [X0,X1] : join(complement(X0),complement(join(complement(X0),zero))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f1032,f999]) ).
fof(f1057,plain,
! [X0,X1] : join(complement(X0),complement(join(zero,complement(X0)))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f1046,f32]) ).
fof(f1063,plain,
! [X1] : top = join(top,complement(X1)),
inference(forward_demodulation,[],[f1057,f887]) ).
fof(f1082,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f970,f32]) ).
fof(f1088,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f970,f216]) ).
fof(f1169,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f48,f1063]) ).
fof(f1176,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1169,f38]) ).
fof(f1178,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f1176,f896]) ).
fof(f1179,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f1178,f32]) ).
fof(f1180,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1179,f896]) ).
fof(f1184,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f36,f1180]) ).
fof(f1188,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f48,f1180]) ).
fof(f1277,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f970,f1184]) ).
fof(f1283,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,[],[f48,f1184]) ).
fof(f1288,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1283,f32]) ).
fof(f1294,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f1277,f32]) ).
fof(f1336,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1288,f1180]) ).
fof(f1342,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1294,f125]) ).
fof(f1367,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1336,f31]) ).
fof(f1373,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1342,f1180]) ).
fof(f1395,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1367,f1082]) ).
fof(f1413,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1395,f1180]) ).
fof(f1441,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1413,f32]) ).
fof(f1447,plain,
! [X0,X1] : join(X0,complement(complement(join(X0,X1)))) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f1413,f1413]) ).
fof(f1448,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1413,f216]) ).
fof(f1531,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1448,f1088]) ).
fof(f1532,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1447,f1413]) ).
fof(f1562,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1532,f1180]) ).
fof(f1588,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1562,f1180]) ).
fof(f1635,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(join(X0,complement(X1)))) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f1441,f1441]) ).
fof(f1720,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(join(X0,complement(X1)))) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1635,f32]) ).
fof(f1753,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1720,f1188]) ).
fof(f1847,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f56,f1531]) ).
fof(f1857,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f40,f1531]) ).
fof(f1864,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1857,f28]) ).
fof(f1872,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1847,f32]) ).
fof(f1886,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f1872,f32]) ).
fof(f1892,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f1886,f1180]) ).
fof(f1895,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f1892,f1413]) ).
fof(f1896,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f1895,f1180]) ).
fof(f1897,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f1896,f1864]) ).
fof(f4075,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,join(X1,X2))),
inference(superposition,[],[f1588,f125]) ).
fof(f5182,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f28,f1897]) ).
fof(f10254,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f90,f23]) ).
fof(f10300,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f10254,f27]) ).
fof(f10320,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f10300,f27]) ).
fof(f10330,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f10320,f23]) ).
fof(f10357,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f10330]) ).
fof(f10365,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = join(join(composition(X0,X1),composition(X0,X2)),complement(converse(complement(converse(composition(X0,join(X1,X2))))))),
inference(superposition,[],[f1531,f10330]) ).
fof(f10366,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = join(composition(X0,X1),join(composition(X0,X2),complement(converse(complement(converse(composition(X0,join(X1,X2)))))))),
inference(forward_demodulation,[],[f10365,f31]) ).
fof(f10371,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f10357,f28]) ).
fof(f10387,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = join(composition(X0,X1),join(composition(X0,X2),converse(converse(composition(X0,join(X1,X2)))))),
inference(forward_demodulation,[],[f10366,f5182]) ).
fof(f10398,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = join(composition(X0,X1),join(composition(X0,X2),composition(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f10387,f28]) ).
fof(f10407,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = join(composition(X0,X1),composition(X0,join(X2,join(X1,X2)))),
inference(forward_demodulation,[],[f10398,f10371]) ).
fof(f10412,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X1,join(X2,join(X1,X2)))),
inference(forward_demodulation,[],[f10407,f10371]) ).
fof(f10413,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X2,join(X1,X2))),
inference(forward_demodulation,[],[f10412,f4075]) ).
fof(f10414,plain,
! [X2,X0,X1] : composition(X0,join(X2,X1)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f10413,f1373]) ).
fof(f16419,plain,
! [X2,X0,X1] : join(complement(X2),composition(X0,X1)) = join(complement(X2),composition(X0,join(X1,complement(composition(converse(X0),X2))))),
inference(superposition,[],[f208,f10414]) ).
fof(f16420,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,X2)) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),X2))),
inference(superposition,[],[f208,f10371]) ).
fof(f16662,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))) = join(complement(X1),composition(X0,complement(join(X2,composition(converse(X0),X1))))),
inference(superposition,[],[f16420,f1753]) ).
fof(f16810,plain,
! [X2,X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(join(X2,composition(converse(X0),X1))))),
inference(forward_demodulation,[],[f16662,f84]) ).
fof(f32143,plain,
join(complement(sK2),composition(sK1,complement(join(complement(zero),complement(join(sK0,complement(composition(converse(sK1),sK2)))))))) = join(complement(sK2),composition(sK1,join(sK0,complement(composition(converse(sK1),sK2))))),
inference(superposition,[],[f16420,f707]) ).
fof(f32208,plain,
join(complement(sK2),composition(sK1,complement(join(complement(zero),complement(join(sK0,complement(composition(converse(sK1),sK2)))))))) = join(complement(sK2),composition(sK1,sK0)),
inference(forward_demodulation,[],[f32143,f16419]) ).
fof(f32256,plain,
join(complement(sK2),composition(sK1,sK0)) = join(complement(sK2),composition(sK1,complement(join(complement(zero),composition(converse(sK1),sK2))))),
inference(forward_demodulation,[],[f32208,f932]) ).
fof(f32295,plain,
complement(sK2) = join(complement(sK2),composition(sK1,sK0)),
inference(forward_demodulation,[],[f32256,f16810]) ).
fof(f32497,plain,
join(complement(sK2),complement(composition(sK1,sK0))) = join(complement(sK2),complement(complement(sK2))),
inference(superposition,[],[f1413,f32295]) ).
fof(f32528,plain,
top = join(complement(sK2),complement(composition(sK1,sK0))),
inference(forward_demodulation,[],[f32497,f29]) ).
fof(f32856,plain,
zero != complement(top),
inference(superposition,[],[f39,f32528]) ).
fof(f32959,plain,
$false,
inference(forward_subsumption_resolution,[],[f32856,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL011+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:52:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.19/4.15 % (3856385)Detected formulas, will run a generic FOF schedule.
% 15.19/4.15 % (3856409)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=1365292830:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.19/4.15 % (3856413)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2820062119:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.19/4.15 % (3856411)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=737216459:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.19/4.15 % (3856412)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3752506522:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.19/4.15 % (3856414)dis-21_1_sil=8000:lcm=predicate:random_seed=690691415: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)
% 15.19/4.15 % (3856408)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=255917850:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.19/4.15 % (3856410)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=783510133:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.19/4.15 % (3856414)Refutation not found, incomplete strategy
% 15.19/4.15 % (3856414)------------------------------
% 15.19/4.15 % (3856414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856414)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856414)Termination reason: Refutation not found, incomplete strategy
% 15.19/4.15 % (3856414)Time elapsed: 0.002 s
% 15.19/4.15 % (3856414)Peak memory usage: 88 MB
% 15.19/4.15 % (3856414)Instructions burned: 1 (million)
% 15.19/4.15 % (3856411)Instruction limit reached!
% 15.19/4.15 % (3856411)------------------------------
% 15.19/4.15 % (3856411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856411)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856411)Termination reason: Instruction limit
% 15.19/4.15 % (3856411)Termination phase: Saturation
% 15.19/4.15 % (3856411)Time elapsed: 0.109 s
% 15.19/4.15 % (3856411)Peak memory usage: 90 MB
% 15.19/4.15 % (3856411)Instructions burned: 110 (million)
% 15.19/4.15 % (3856412)Instruction limit reached!
% 15.19/4.15 % (3856412)------------------------------
% 15.19/4.15 % (3856412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856412)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856412)Termination reason: Instruction limit
% 15.19/4.15 % (3856412)Termination phase: Saturation
% 15.19/4.15 % (3856412)Time elapsed: 0.114 s
% 15.19/4.15 % (3856412)Peak memory usage: 89 MB
% 15.19/4.15 % (3856412)Instructions burned: 120 (million)
% 15.19/4.15 % (3856413)Instruction limit reached!
% 15.19/4.15 % (3856413)------------------------------
% 15.19/4.15 % (3856413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856413)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856413)Termination reason: Instruction limit
% 15.19/4.15 % (3856413)Termination phase: Saturation
% 15.19/4.15 % (3856413)Time elapsed: 0.140 s
% 15.19/4.15 % (3856413)Peak memory usage: 90 MB
% 15.19/4.15 % (3856413)Instructions burned: 140 (million)
% 15.19/4.15 % (3856425)lrs+10_1_sil=8000:sp=occurrence:random_seed=3045105082:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 15.19/4.15 % (3856426)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2554882951:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.19/4.15 % (3856414)------------------------------
% 15.19/4.15 % (3856414)------------------------------
% 15.19/4.15 % (3856428)lrs+1011_1_sil=32000:sp=occurrence:random_seed=779367653:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.19/4.15 % (3856426)Instruction limit reached!
% 15.19/4.15 % (3856426)------------------------------
% 15.19/4.15 % (3856426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856426)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856426)Termination reason: Instruction limit
% 15.19/4.15 % (3856426)Termination phase: Saturation
% 15.19/4.15 % (3856426)Time elapsed: 0.155 s
% 15.19/4.15 % (3856426)Peak memory usage: 91 MB
% 15.19/4.15 % (3856426)Instructions burned: 158 (million)
% 15.19/4.15 % (3856425)Instruction limit reached!
% 15.19/4.15 % (3856425)------------------------------
% 15.19/4.15 % (3856425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856425)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856425)Termination reason: Instruction limit
% 15.19/4.15 % (3856425)Termination phase: Saturation
% 15.19/4.15 % (3856425)Time elapsed: 0.271 s
% 15.19/4.15 % (3856425)Peak memory usage: 90 MB
% 15.19/4.15 % (3856425)Instructions burned: 285 (million)
% 15.19/4.15 % (3856435)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=1082424644:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.19/4.15 % (3856437)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2043334465:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 15.19/4.15 % (3856428)Instruction limit reached!
% 15.19/4.15 % (3856428)------------------------------
% 15.19/4.15 % (3856428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856428)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856428)Termination reason: Instruction limit
% 15.19/4.15 % (3856428)Termination phase: Saturation
% 15.19/4.15 % (3856428)Time elapsed: 0.313 s
% 15.19/4.15 % (3856428)Peak memory usage: 92 MB
% 15.19/4.15 % (3856428)Instructions burned: 325 (million)
% 15.19/4.15 % (3856438)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1376853822:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 15.19/4.15 % (3856435)Instruction limit reached!
% 15.19/4.15 % (3856435)------------------------------
% 15.19/4.15 % (3856435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856435)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856435)Termination reason: Instruction limit
% 15.19/4.15 % (3856435)Termination phase: Saturation
% 15.19/4.15 % (3856435)Time elapsed: 0.250 s
% 15.19/4.15 % (3856435)Peak memory usage: 92 MB
% 15.19/4.15 % (3856435)Instructions burned: 248 (million)
% 15.19/4.15 % (3856437)Instruction limit reached!
% 15.19/4.15 % (3856437)------------------------------
% 15.19/4.15 % (3856437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856437)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856437)Termination reason: Instruction limit
% 15.19/4.15 % (3856437)Termination phase: Saturation
% 15.19/4.15 % (3856437)Time elapsed: 0.265 s
% 15.19/4.15 % (3856437)Peak memory usage: 90 MB
% 15.19/4.15 % (3856437)Instructions burned: 296 (million)
% 15.19/4.15 % (3856441)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2439699724:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 15.19/4.15 % (3856441)Instruction limit reached!
% 15.19/4.15 % (3856441)------------------------------
% 15.19/4.15 % (3856441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856441)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856441)Termination reason: Instruction limit
% 15.19/4.15 % (3856441)Termination phase: Saturation
% 15.19/4.15 % (3856441)Time elapsed: 0.120 s
% 15.19/4.15 % (3856441)Peak memory usage: 90 MB
% 15.19/4.15 % (3856441)Instructions burned: 114 (million)
% 15.19/4.15 % (3856443)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=900686198:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 15.19/4.15 % (3856446)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3660504653:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 15.19/4.15 % (3856443)Refutation not found, incomplete strategy
% 15.19/4.15 % (3856443)------------------------------
% 15.19/4.15 % (3856443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856443)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856443)Termination reason: Refutation not found, incomplete strategy
% 15.19/4.15 % (3856443)Time elapsed: 0.002 s
% 15.19/4.15 % (3856443)Peak memory usage: 88 MB
% 15.19/4.15 % (3856446)Instruction limit reached!
% 15.19/4.15 % (3856446)------------------------------
% 15.19/4.15 % (3856446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856446)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856446)Termination reason: Instruction limit
% 15.19/4.15 % (3856446)Termination phase: Saturation
% 15.19/4.15 % (3856446)Time elapsed: 0.111 s
% 15.19/4.15 % (3856446)Peak memory usage: 89 MB
% 15.19/4.15 % (3856446)Instructions burned: 114 (million)
% 15.19/4.15 % (3856448)lrs+10_1_sil=8000:sp=occurrence:random_seed=1535137322:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 15.19/4.15 % (3856443)------------------------------
% 15.19/4.15 % (3856443)------------------------------
% 15.19/4.15 % (3856451)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4210831170:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 15.19/4.15 % (3856451)Refutation not found, incomplete strategy
% 15.19/4.15 % (3856451)------------------------------
% 15.19/4.15 % (3856451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856451)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856451)Termination reason: Refutation not found, incomplete strategy
% 15.19/4.15 % (3856451)Time elapsed: 0.002 s
% 15.19/4.15 % (3856451)Peak memory usage: 88 MB
% 15.19/4.15 % (3856454)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=275548169:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 15.19/4.15 % (3856451)------------------------------
% 15.19/4.15 % (3856451)------------------------------
% 15.19/4.15 % (3856456)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4217476145:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 15.19/4.15 % (3856456)Refutation not found, incomplete strategy
% 15.19/4.15 % (3856456)------------------------------
% 15.19/4.15 % (3856456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856456)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856456)Termination reason: Refutation not found, incomplete strategy
% 15.19/4.15 % (3856456)Time elapsed: 0.002 s
% 15.19/4.15 % (3856456)Peak memory usage: 89 MB
% 15.19/4.15 % (3856456)Instructions burned: 1 (million)
% 15.19/4.15 % (3856448)Instruction limit reached!
% 15.19/4.15 % (3856448)------------------------------
% 15.19/4.15 % (3856448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.19/4.15 % (3856448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.19/4.15 % (3856448)CaDiCaL version: 2.1.3
% 15.19/4.15 % (3856448)Termination reason: Instruction limit
% 15.19/4.15 % (3856448)Termination phase: Saturation
% 15.19/4.15 % (3856448)Time elapsed: 0.878 s
% 15.19/4.15 % (3856448)Peak memory usage: 96 MB
% 15.19/4.15 % (3856448)Instructions burned: 907 (million)
% 15.19/4.15 % (3856409)First to succeed.
% 15.19/4.15 % (3856409)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3856385"
% 15.19/4.15 % (3856408)Also succeeded, but the first one will report.
% 15.19/4.15 % (3856456)------------------------------
% 15.19/4.15 % (3856456)------------------------------
% 15.19/4.15 % (3856460)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4055898045:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 15.19/4.15 % (3856461)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2606401102:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 15.19/4.15 % (3856409)Refutation found. Thanks to Tanya!
% 15.19/4.15 % SZS status Theorem for theBenchmark
% 15.19/4.15 % SZS output start Proof for theBenchmark
% See solution above
% 23.24/4.50 % (3856409)------------------------------
% 23.24/4.50 % (3856409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.24/4.50 % (3856409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.24/4.50 % (3856409)CaDiCaL version: 2.1.3
% 23.24/4.50 % (3856409)Termination reason: Refutation
% 23.24/4.50 % (3856409)Time elapsed: 2.517 s
% 23.24/4.50 % (3856409)Peak memory usage: 143 MB
% 23.24/4.50 % (3856409)Instructions burned: 2734 (million)
% 23.24/4.50 % (3856409)------------------------------
% 23.24/4.50 % (3856409)------------------------------
% 23.24/4.50 % (3856385)Success in time 3.162 s
% 23.24/4.50 % Vampire exiting
%------------------------------------------------------------------------------