%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL045-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:34:07 PM UTC 2026
% Result : Unsatisfiable 6.54s 3.31s
% Output : Refutation 16.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 15
% Syntax : Number of formulae : 108 ( 108 unt; 0 def)
% Number of atoms : 108 ( 107 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 173 ( 173 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dedekind_law_14) ).
fof(f18,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
join(sk1,composition(composition(sk1,converse(sk1)),sk1)) != composition(composition(sk1,converse(sk1)),sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
composition(composition(sk1,converse(sk1)),sk1) != join(sk1,composition(composition(sk1,converse(sk1)),sk1)),
inference(reorient_equations,[],[f23]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6,f6]) ).
fof(f28,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f29,plain,
zero = complement(top),
inference(forward_demodulation,[],[f28,f15]) ).
fof(f30,plain,
composition(sk1,composition(converse(sk1),sk1)) != join(sk1,composition(sk1,composition(converse(sk1),sk1))),
inference(forward_demodulation,[],[f24,f7]) ).
fof(f32,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f36,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f32,f8]) ).
fof(f42,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f36,f10]) ).
fof(f51,plain,
one = converse(one),
inference(superposition,[],[f8,f42]) ).
fof(f52,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f61,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f75,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f42,f51]) ).
fof(f127,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f130,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f4,f29]) ).
fof(f135,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1))))),complement(X0)),
inference(superposition,[],[f4,f4]) ).
fof(f137,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f140,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f143,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f140,f127]) ).
fof(f144,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f137,f1]) ).
fof(f146,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f151,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f130,f1]) ).
fof(f152,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f154,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f151,f1]) ).
fof(f155,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f156,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f155,f1]) ).
fof(f157,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f160,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f162,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f164,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f52,f15]) ).
fof(f166,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f162,f29]) ).
fof(f281,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f160,f144]) ).
fof(f283,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f160,f1]) ).
fof(f295,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f281,f1]) ).
fof(f299,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f295,f283]) ).
fof(f505,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f14,f42]) ).
fof(f520,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f505,f1]) ).
fof(f531,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f520,f75]) ).
fof(f630,plain,
! [X2,X0,X1] : composition(complement(join(complement(X1),complement(composition(X2,X0)))),complement(join(complement(converse(X0)),complement(composition(converse(X1),X2))))) = join(complement(join(complement(composition(X1,converse(X0))),complement(X2))),composition(complement(join(complement(X1),complement(composition(X2,X0)))),complement(join(complement(converse(X0)),complement(composition(converse(X1),X2)))))),
inference(superposition,[],[f27,f10]) ).
fof(f711,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f160,f531]) ).
fof(f725,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f711,f15]) ).
fof(f760,plain,
! [X0,X1] : join(X0,top) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[],[f143,f725]) ).
fof(f765,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,top),
inference(forward_demodulation,[],[f760,f1]) ).
fof(f767,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f765,f725]) ).
fof(f776,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1,f767]) ).
fof(f813,plain,
top = converse(top),
inference(superposition,[],[f164,f776]) ).
fof(f830,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(join(top,complement(join(complement(X0),complement(X0))))),complement(X0)),
inference(superposition,[],[f157,f166]) ).
fof(f857,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))),
inference(forward_demodulation,[],[f830,f1]) ).
fof(f875,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,X0))),
inference(forward_demodulation,[],[f857,f299]) ).
fof(f888,plain,
! [X0] : join(complement(X0),complement(top)) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f875,f776]) ).
fof(f897,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f888,f531]) ).
fof(f903,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f897,f29]) ).
fof(f907,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f903,f1]) ).
fof(f915,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f166,f907]) ).
fof(f926,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f915,f531]) ).
fof(f971,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f4,f926]) ).
fof(f999,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f971,f1]) ).
fof(f1118,plain,
! [X0,X1] : complement(X1) = join(complement(join(top,X0)),complement(join(X1,complement(join(complement(X1),X0))))),
inference(superposition,[],[f999,f160]) ).
fof(f1227,plain,
! [X0,X1] : complement(X1) = join(complement(top),complement(join(X1,complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1118,f776]) ).
fof(f1265,plain,
! [X0,X1] : complement(X1) = join(zero,complement(join(X1,complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1227,f29]) ).
fof(f1297,plain,
! [X0,X1] : complement(X1) = complement(join(X1,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f1265,f907]) ).
fof(f1421,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(complement(join(top,X0))),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))))),
inference(superposition,[],[f152,f160]) ).
fof(f1498,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(complement(join(top,X0))),complement(complement(X1))))),
inference(forward_demodulation,[],[f1421,f1297]) ).
fof(f1542,plain,
! [X0,X1] : join(complement(X1),complement(join(X1,X0))) = join(complement(X1),complement(join(complement(complement(join(top,X0))),X1))),
inference(forward_demodulation,[],[f1498,f926]) ).
fof(f1578,plain,
! [X0,X1] : join(complement(X1),complement(join(X1,X0))) = join(complement(X1),complement(join(join(top,X0),X1))),
inference(forward_demodulation,[],[f1542,f926]) ).
fof(f1606,plain,
! [X0,X1] : join(complement(X1),complement(join(X1,X0))) = join(complement(X1),complement(join(top,join(X0,X1)))),
inference(forward_demodulation,[],[f1578,f2]) ).
fof(f1630,plain,
! [X0,X1] : join(complement(X1),complement(join(X1,X0))) = join(complement(X1),complement(top)),
inference(forward_demodulation,[],[f1606,f776]) ).
fof(f1644,plain,
! [X0,X1] : join(complement(X1),complement(join(X1,X0))) = join(complement(X1),zero),
inference(forward_demodulation,[],[f1630,f29]) ).
fof(f1654,plain,
! [X0,X1] : join(zero,complement(X1)) = join(complement(X1),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1644,f1]) ).
fof(f1661,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1654,f907]) ).
fof(f2232,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f61,f12]) ).
fof(f2248,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f2232,f11]) ).
fof(f2266,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f2248,f11]) ).
fof(f2276,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f2266,f12]) ).
fof(f2301,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f2276]) ).
fof(f2326,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f2301,f10]) ).
fof(f2361,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f2326,f8]) ).
fof(f2424,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f2361,f15]) ).
fof(f2644,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(X0,top))),
inference(superposition,[],[f1661,f2424]) ).
fof(f3486,plain,
! [X0] : composition(complement(complement(X0)),complement(join(complement(converse(top)),complement(composition(converse(X0),X0))))) = join(complement(join(complement(composition(X0,converse(top))),complement(X0))),composition(complement(complement(X0)),complement(join(complement(converse(top)),complement(composition(converse(X0),X0)))))),
inference(superposition,[],[f630,f2644]) ).
fof(f3537,plain,
! [X0] : composition(complement(complement(X0)),complement(join(complement(top),complement(composition(converse(X0),X0))))) = join(complement(join(complement(composition(X0,top)),complement(X0))),composition(complement(complement(X0)),complement(join(complement(top),complement(composition(converse(X0),X0)))))),
inference(forward_demodulation,[],[f3486,f813]) ).
fof(f3556,plain,
! [X0] : composition(complement(complement(X0)),complement(join(zero,complement(composition(converse(X0),X0))))) = join(complement(join(complement(composition(X0,top)),complement(X0))),composition(complement(complement(X0)),complement(join(zero,complement(composition(converse(X0),X0)))))),
inference(forward_demodulation,[],[f3537,f29]) ).
fof(f3569,plain,
! [X0] : composition(complement(complement(X0)),complement(complement(composition(converse(X0),X0)))) = join(complement(join(complement(composition(X0,top)),complement(X0))),composition(complement(complement(X0)),complement(complement(composition(converse(X0),X0))))),
inference(forward_demodulation,[],[f3556,f907]) ).
fof(f3578,plain,
! [X0] : composition(complement(complement(X0)),composition(converse(X0),X0)) = join(complement(join(complement(composition(X0,top)),complement(X0))),composition(complement(complement(X0)),composition(converse(X0),X0))),
inference(forward_demodulation,[],[f3569,f926]) ).
fof(f3582,plain,
! [X0] : composition(X0,composition(converse(X0),X0)) = join(complement(join(complement(composition(X0,top)),complement(X0))),composition(X0,composition(converse(X0),X0))),
inference(forward_demodulation,[],[f3578,f926]) ).
fof(f3585,plain,
! [X0] : composition(X0,composition(converse(X0),X0)) = join(complement(join(complement(X0),complement(composition(X0,top)))),composition(X0,composition(converse(X0),X0))),
inference(forward_demodulation,[],[f3582,f1]) ).
fof(f3588,plain,
! [X0] : composition(X0,composition(converse(X0),X0)) = join(complement(complement(X0)),composition(X0,composition(converse(X0),X0))),
inference(forward_demodulation,[],[f3585,f2644]) ).
fof(f3590,plain,
! [X0] : composition(X0,composition(converse(X0),X0)) = join(X0,composition(X0,composition(converse(X0),X0))),
inference(forward_demodulation,[],[f3588,f926]) ).
fof(f3942,plain,
composition(sk1,composition(converse(sk1),sk1)) != composition(sk1,composition(converse(sk1),sk1)),
inference(superposition,[],[f30,f3590]) ).
fof(f3943,plain,
$false,
inference(trivial_inequality_removal,[],[f3942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL045-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 23:01:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 6.54/3.31 % (3088864)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.54/3.31 % (3088872)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1987687422:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.54/3.31 % (3088869)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=34322439:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.54/3.31 % (3088872)Instruction limit reached!
% 6.54/3.31 % (3088872)------------------------------
% 6.54/3.31 % (3088872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/3.31 % (3088872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/3.31 % (3088872)CaDiCaL version: 2.1.3
% 6.54/3.31 % (3088872)Termination reason: Instruction limit
% 6.54/3.31 % (3088872)Termination phase: Saturation
% 6.54/3.31 % (3088872)Time elapsed: 0.079 s
% 6.54/3.31 % (3088872)Peak memory usage: 89 MB
% 6.54/3.31 % (3088872)Instructions burned: 136 (million)
% 6.54/3.31 % (3088870)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2036395659:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.54/3.31 % (3088874)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3733220566:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.54/3.31 % (3088873)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1017557095:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.54/3.31 % (3088871)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4064050157:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.54/3.31 % (3088875)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1451583973:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.54/3.31 % (3088879)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1955374752:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.54/3.31 % (3088873)Instruction limit reached!
% 6.54/3.31 % (3088873)------------------------------
% 6.54/3.31 % (3088873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/3.31 % (3088873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/3.31 % (3088873)CaDiCaL version: 2.1.3
% 6.54/3.31 % (3088873)Termination reason: Instruction limit
% 6.54/3.31 % (3088873)Termination phase: Saturation
% 6.54/3.31 % (3088873)Time elapsed: 0.178 s
% 6.54/3.31 % (3088873)Peak memory usage: 89 MB
% 6.54/3.31 % (3088873)Instructions burned: 181 (million)
% 6.54/3.31 % (3088874)Instruction limit reached!
% 6.54/3.31 % (3088874)------------------------------
% 6.54/3.31 % (3088874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/3.31 % (3088874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/3.31 % (3088874)CaDiCaL version: 2.1.3
% 6.54/3.31 % (3088874)Termination reason: Instruction limit
% 6.54/3.31 % (3088874)Termination phase: Saturation
% 6.54/3.31 % (3088874)Time elapsed: 0.242 s
% 6.54/3.31 % (3088874)Peak memory usage: 90 MB
% 6.54/3.31 % (3088874)Instructions burned: 258 (million)
% 6.54/3.31 % (3088886)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3868009823:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 6.54/3.31 % (3088885)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3915122047:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 6.54/3.31 % (3088886)Instruction limit reached!
% 6.54/3.31 % (3088886)------------------------------
% 6.54/3.31 % (3088886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/3.31 % (3088886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/3.31 % (3088886)CaDiCaL version: 2.1.3
% 6.54/3.31 % (3088886)Termination reason: Instruction limit
% 6.54/3.31 % (3088886)Termination phase: Saturation
% 6.54/3.31 % (3088886)Time elapsed: 0.106 s
% 6.54/3.31 % (3088886)Peak memory usage: 90 MB
% 6.54/3.31 % (3088886)Instructions burned: 217 (million)
% 6.54/3.31 % (3088889)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4073645144:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 6.54/3.31 % (3088889)Instruction limit reached!
% 6.54/3.31 % (3088889)------------------------------
% 6.54/3.31 % (3088889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/3.31 % (3088889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/3.31 % (3088889)CaDiCaL version: 2.1.3
% 6.54/3.31 % (3088889)Termination reason: Instruction limit
% 6.54/3.31 % (3088889)Termination phase: Saturation
% 6.54/3.31 % (3088889)Time elapsed: 0.180 s
% 6.54/3.31 % (3088889)Peak memory usage: 92 MB
% 6.54/3.31 % (3088889)Instructions burned: 319 (million)
% 6.54/3.31 % (3088875)Instruction limit reached!
% 6.54/3.31 % (3088875)------------------------------
% 6.54/3.31 % (3088875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/3.31 % (3088875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/3.31 % (3088875)CaDiCaL version: 2.1.3
% 6.54/3.31 % (3088875)Termination reason: Instruction limit
% 6.54/3.31 % (3088875)Termination phase: Saturation
% 6.54/3.31 % (3088875)Time elapsed: 1.150 s
% 6.54/3.31 % (3088875)Peak memory usage: 101 MB
% 6.54/3.31 % (3088875)Instructions burned: 1188 (million)
% 6.54/3.31 % (3088891)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2250920975:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 6.54/3.31 % (3088892)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=716001515:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 6.54/3.31 % (3088870)First to succeed.
% 6.54/3.31 % (3088870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3088864"
% 6.54/3.31 % (3088870)Refutation found. Thanks to Tanya!
% 6.54/3.31 % SZS status Unsatisfiable for theBenchmark
% 6.54/3.31 % SZS output start Proof for theBenchmark
% See solution above
% 16.93/3.54 % (3088870)------------------------------
% 16.93/3.54 % (3088870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/3.54 % (3088870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/3.54 % (3088870)CaDiCaL version: 2.1.3
% 16.93/3.54 % (3088870)Termination reason: Refutation
% 16.93/3.54 % (3088870)Time elapsed: 1.518 s
% 16.93/3.54 % (3088870)Peak memory usage: 133 MB
% 16.93/3.54 % (3088870)Instructions burned: 1457 (million)
% 16.93/3.54 % (3088870)------------------------------
% 16.93/3.54 % (3088870)------------------------------
% 16.93/3.54 % (3088864)Success in time 2.292 s
% 16.93/3.54 % Vampire exiting
%------------------------------------------------------------------------------