%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL004+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 : n015.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 12:33:37 PM UTC 2026
% Result : Theorem 5.68s 1.72s
% Output : Refutation 6.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 16
% Syntax : Number of formulae : 121 ( 121 unt; 4 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 151 ( 150 !; 1 ?)
% 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(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] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,definition,
sF1 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
complement(sK0) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = converse(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
converse(sF1) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
converse(sK0) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
sF2 != sF4,
inference(definition_folding,[],[f31,f40,f38,f36,f34]) ).
fof(f42,plain,
sK0 = converse(sF3),
inference(superposition,[],[f25,f38]) ).
fof(f53,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f91,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f98,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f20,f20]) ).
fof(f100,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f103,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,[],[f20,f20]) ).
fof(f105,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f109,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f18,f20]) ).
fof(f114,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f53,f29]) ).
fof(f134,plain,
zero = complement(top),
inference(superposition,[],[f32,f29]) ).
fof(f149,plain,
top = join(top,zero),
inference(superposition,[],[f29,f134]) ).
fof(f156,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f159,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f167,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f205,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f100,f32]) ).
fof(f229,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f91,f23]) ).
fof(f230,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f229,f25]) ).
fof(f237,plain,
one = converse(one),
inference(superposition,[],[f23,f230]) ).
fof(f239,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f230,f237]) ).
fof(f252,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f239]) ).
fof(f253,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f252,f230]) ).
fof(f291,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f105,f29]) ).
fof(f312,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f291,f134]) ).
fof(f319,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f312,f253]) ).
fof(f483,plain,
complement(zero) = join(zero,complement(zero)),
inference(superposition,[],[f205,f319]) ).
fof(f488,plain,
top = complement(zero),
inference(forward_demodulation,[],[f483,f29]) ).
fof(f503,plain,
top = join(top,top),
inference(superposition,[],[f253,f488]) ).
fof(f521,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X1),complement(X0)),X0),
inference(superposition,[],[f156,f100]) ).
fof(f523,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f156,f253]) ).
fof(f525,plain,
! [X0] : join(complement(X0),X0) = join(top,zero),
inference(superposition,[],[f156,f319]) ).
fof(f538,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f525,f149]) ).
fof(f540,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f523,f29]) ).
fof(f542,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X1),join(complement(X0),X0)),
inference(forward_demodulation,[],[f521,f19]) ).
fof(f548,plain,
! [X0,X1] : join(complement(X1),top) = join(top,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f542,f538]) ).
fof(f551,plain,
! [X1] : top = join(complement(X1),top),
inference(forward_demodulation,[],[f548,f540]) ).
fof(f584,plain,
! [X0] : join(X0,top) = join(top,top),
inference(superposition,[],[f156,f551]) ).
fof(f588,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(top,X1)),
inference(superposition,[],[f19,f551]) ).
fof(f594,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f584,f503]) ).
fof(f600,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f18,f594]) ).
fof(f623,plain,
top = converse(top),
inference(superposition,[],[f114,f600]) ).
fof(f644,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),complement(zero)))),
inference(superposition,[],[f109,f319]) ).
fof(f695,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f644,f488]) ).
fof(f706,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f695,f594]) ).
fof(f709,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f706,f134]) ).
fof(f725,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f319,f709]) ).
fof(f746,plain,
sF3 = complement(sF4),
inference(superposition,[],[f725,f40]) ).
fof(f773,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f709,f725]) ).
fof(f1000,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))),join(top,X0)))),
inference(superposition,[],[f98,f156]) ).
fof(f1028,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(top,X0))),
inference(forward_demodulation,[],[f1000,f588]) ).
fof(f1056,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(top)),
inference(forward_demodulation,[],[f1028,f600]) ).
fof(f1073,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),zero),
inference(forward_demodulation,[],[f1056,f134]) ).
fof(f1087,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(complement(complement(X1)),X0))),
inference(forward_demodulation,[],[f1073,f773]) ).
fof(f1094,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1087,f725]) ).
fof(f1096,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f1094,f725]) ).
fof(f1104,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1094,f18]) ).
fof(f1233,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1096,f18]) ).
fof(f1632,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = join(complement(join(complement(X0),complement(complement(X1)))),X0),
inference(superposition,[],[f159,f105]) ).
fof(f1677,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f1632,f725]) ).
fof(f1733,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(forward_demodulation,[],[f1677,f1233]) ).
fof(f2427,plain,
! [X2,X0,X1] : join(X1,complement(X0)) = join(complement(join(X2,X0)),join(X1,complement(X0))),
inference(superposition,[],[f167,f1104]) ).
fof(f2534,plain,
! [X2,X0,X1] : join(complement(join(X0,join(complement(X1),X2))),X1) = X1,
inference(superposition,[],[f1733,f167]) ).
fof(f2882,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))) = join(complement(join(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),complement(complement(X0)))),complement(join(complement(X0),X1))),
inference(superposition,[],[f103,f109]) ).
fof(f2983,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))) = join(complement(join(complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1)))))),X0)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f2882,f725]) ).
fof(f3039,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))) = join(complement(join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),X0)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f2983,f725]) ).
fof(f3071,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3039,f2534]) ).
fof(f3097,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3071,f2427]) ).
fof(f3122,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f3097,f725]) ).
fof(f3283,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f3122,f18]) ).
fof(f3291,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f3122,f114]) ).
fof(f3420,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f3291,f623]) ).
fof(f3466,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f3420,f134]) ).
fof(f3492,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f3466,f773]) ).
fof(f3531,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(superposition,[],[f100,f3492]) ).
fof(f3547,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f53,f3492]) ).
fof(f3556,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3547,f25]) ).
fof(f3570,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f3531,f725]) ).
fof(f3589,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f3570,f3283]) ).
fof(f3596,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f3589,f725]) ).
fof(f3599,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f3596,f3556]) ).
fof(f3607,plain,
sF4 = converse(complement(converse(sF3))),
inference(superposition,[],[f3599,f746]) ).
fof(f3627,plain,
converse(complement(sK0)) = sF4,
inference(forward_demodulation,[],[f3607,f42]) ).
fof(f3632,plain,
converse(sF1) = sF4,
inference(forward_demodulation,[],[f3627,f34]) ).
fof(f3635,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f3632,f36]) ).
fof(f3636,plain,
$false,
inference(forward_subsumption_resolution,[],[f3635,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL004+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 22:53:31 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 5.68/1.72 % (2099811)Detected formulas, will run a generic FOF schedule.
% 5.68/1.72 % (2099829)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=2769466767:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.68/1.72 % (2099832)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=2548200665:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.68/1.72 % (2099834)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=802493033:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.68/1.72 % (2099830)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=439303916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.68/1.72 % (2099833)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1095309953:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.68/1.72 % (2099835)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3548642768:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.68/1.72 % (2099836)dis-21_1_sil=8000:lcm=predicate:random_seed=2021030312: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)
% 5.68/1.72 % (2099833)Refutation not found, incomplete strategy
% 5.68/1.72 % (2099833)------------------------------
% 5.68/1.72 % (2099833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099833)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099833)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.72 % (2099833)Time elapsed: 0.002 s
% 5.68/1.72 % (2099833)Peak memory usage: 88 MB
% 5.68/1.72 % (2099836)Refutation not found, incomplete strategy
% 5.68/1.72 % (2099836)------------------------------
% 5.68/1.72 % (2099836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099836)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099836)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.72 % (2099836)Time elapsed: 0.002 s
% 5.68/1.72 % (2099836)Peak memory usage: 88 MB
% 5.68/1.72 % (2099836)Instructions burned: 1 (million)
% 5.68/1.72 % (2099834)Instruction limit reached!
% 5.68/1.72 % (2099834)------------------------------
% 5.68/1.72 % (2099834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099834)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099834)Termination reason: Instruction limit
% 5.68/1.72 % (2099834)Termination phase: Saturation
% 5.68/1.72 % (2099834)Time elapsed: 0.105 s
% 5.68/1.72 % (2099834)Peak memory usage: 88 MB
% 5.68/1.72 % (2099834)Instructions burned: 119 (million)
% 5.68/1.72 % (2099835)Instruction limit reached!
% 5.68/1.72 % (2099835)------------------------------
% 5.68/1.72 % (2099835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099835)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099835)Termination reason: Instruction limit
% 5.68/1.72 % (2099835)Termination phase: Saturation
% 5.68/1.72 % (2099835)Time elapsed: 0.138 s
% 5.68/1.72 % (2099835)Peak memory usage: 90 MB
% 5.68/1.72 % (2099835)Instructions burned: 139 (million)
% 5.68/1.72 % (2099845)lrs+10_1_sil=8000:sp=occurrence:random_seed=1837749903:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.68/1.72 % (2099847)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1795795693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.68/1.72 % (2099833)------------------------------
% 5.68/1.72 % (2099833)------------------------------
% 5.68/1.72 % (2099836)------------------------------
% 5.68/1.72 % (2099836)------------------------------
% 5.68/1.72 % (2099847)Instruction limit reached!
% 5.68/1.72 % (2099847)------------------------------
% 5.68/1.72 % (2099847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099847)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099847)Termination reason: Instruction limit
% 5.68/1.72 % (2099847)Termination phase: Saturation
% 5.68/1.72 % (2099847)Time elapsed: 0.092 s
% 5.68/1.72 % (2099847)Peak memory usage: 90 MB
% 5.68/1.72 % (2099847)Instructions burned: 157 (million)
% 5.68/1.72 % (2099850)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1971239860:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 5.68/1.72 % (2099851)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=3061232038:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 5.68/1.72 % (2099845)Instruction limit reached!
% 5.68/1.72 % (2099845)------------------------------
% 5.68/1.72 % (2099845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099845)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099845)Termination reason: Instruction limit
% 5.68/1.72 % (2099845)Termination phase: Saturation
% 5.68/1.72 % (2099845)Time elapsed: 0.176 s
% 5.68/1.72 % (2099845)Peak memory usage: 91 MB
% 5.68/1.72 % (2099845)Instructions burned: 285 (million)
% 5.68/1.72 % (2099829)First to succeed.
% 5.68/1.72 % (2099829)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2099811"
% 5.68/1.72 % (2099852)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2268221991:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 5.68/1.72 % (2099852)Refutation not found, incomplete strategy
% 5.68/1.72 % (2099852)------------------------------
% 5.68/1.72 % (2099852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099852)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099852)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.72 % (2099852)Time elapsed: 0.002 s
% 5.68/1.72 % (2099852)Peak memory usage: 88 MB
% 5.68/1.72 % (2099852)Instructions burned: 1 (million)
% 5.68/1.72 % (2099856)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1622729807:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.68/1.72 % (2099851)Instruction limit reached!
% 5.68/1.72 % (2099851)------------------------------
% 5.68/1.72 % (2099851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099851)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099851)Termination reason: Instruction limit
% 5.68/1.72 % (2099851)Termination phase: Saturation
% 5.68/1.72 % (2099851)Time elapsed: 0.154 s
% 5.68/1.72 % (2099851)Peak memory usage: 92 MB
% 5.68/1.72 % (2099851)Instructions burned: 248 (million)
% 5.68/1.72 % (2099850)Instruction limit reached!
% 5.68/1.72 % (2099850)------------------------------
% 5.68/1.72 % (2099850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.72 % (2099850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.72 % (2099850)CaDiCaL version: 2.1.3
% 5.68/1.72 % (2099850)Termination reason: Instruction limit
% 5.68/1.72 % (2099850)Termination phase: Saturation
% 5.68/1.72 % (2099850)Time elapsed: 0.198 s
% 5.68/1.72 % (2099850)Peak memory usage: 91 MB
% 5.68/1.72 % (2099850)Instructions burned: 325 (million)
% 5.68/1.72 % (2099829)Refutation found. Thanks to Tanya!
% 5.68/1.72 % SZS status Theorem for theBenchmark
% 5.68/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 6.79/1.91 % (2099829)------------------------------
% 6.79/1.91 % (2099829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.91 % (2099829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.91 % (2099829)CaDiCaL version: 2.1.3
% 6.79/1.91 % (2099829)Termination reason: Refutation
% 6.79/1.91 % (2099829)Time elapsed: 0.564 s
% 6.79/1.91 % (2099829)Peak memory usage: 132 MB
% 6.79/1.91 % (2099829)Instructions burned: 1323 (million)
% 6.79/1.91 % (2099829)------------------------------
% 6.79/1.91 % (2099829)------------------------------
% 6.79/1.91 % (2099811)Success in time 0.872 s
% 6.79/1.91 % Vampire exiting
%------------------------------------------------------------------------------