%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL004-2 : 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 : n014.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 : Unsatisfiable 4.12s 1.71s
% Output : Refutation 6.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 15
% Syntax : Number of formulae : 127 ( 127 unt; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 177 ( 177 !; 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,
converse(complement(sk1)) != complement(converse(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f26,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f6,f15]) ).
fof(f27,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[],[f6,f1]) ).
fof(f32,plain,
zero = complement(top),
inference(forward_demodulation,[],[f26,f16]) ).
fof(f38,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f39,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f77,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f90,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f27,f15]) ).
fof(f93,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f27,f6]) ).
fof(f103,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f90,f32]) ).
fof(f130,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f131,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f160,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f177,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f38,f15]) ).
fof(f350,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[],[f9,f1]) ).
fof(f399,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f77,f8]) ).
fof(f420,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f399,f10]) ).
fof(f429,plain,
one = converse(one),
inference(superposition,[],[f420,f8]) ).
fof(f436,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f160,f420]) ).
fof(f440,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f436,f420]) ).
fof(f444,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f485,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f444,f10]) ).
fof(f492,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f444,f420]) ).
fof(f494,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f492,f440]) ).
fof(f511,plain,
zero = join(zero,zero),
inference(superposition,[],[f494,f32]) ).
fof(f512,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f27,f494]) ).
fof(f518,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f511]) ).
fof(f544,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f545,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f544,f6]) ).
fof(f546,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f545,f1]) ).
fof(f579,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f546,f16]) ).
fof(f595,plain,
! [X0] : join(meet(X0,complement(X0)),complement(complement(X0))) = X0,
inference(superposition,[],[f546,f494]) ).
fof(f601,plain,
! [X0,X1] : join(meet(X1,complement(X0)),meet(X0,X1)) = X1,
inference(superposition,[],[f546,f27]) ).
fof(f603,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f546]) ).
fof(f605,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(forward_demodulation,[],[f601,f1]) ).
fof(f609,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(X0))) = X0,
inference(forward_demodulation,[],[f595,f1]) ).
fof(f621,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f579,f6]) ).
fof(f625,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f609,f16]) ).
fof(f632,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f625,f1]) ).
fof(f939,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f518,f632]) ).
fof(f956,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f939,f632]) ).
fof(f958,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f939,f621]) ).
fof(f962,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f939,f1]) ).
fof(f986,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f39,f939]) ).
fof(f987,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f986,f10]) ).
fof(f1103,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f494,f956]) ).
fof(f1184,plain,
! [X0,X1] : composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))) = join(meet(X0,X1),composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1)))),
inference(superposition,[],[f18,f8]) ).
fof(f1227,plain,
! [X0,X1] : composition(meet(X0,composition(one,converse(X1))),meet(X1,converse(X0))) = join(meet(composition(X0,X1),one),composition(meet(X0,composition(one,converse(X1))),meet(X1,converse(X0)))),
inference(superposition,[],[f18,f8]) ).
fof(f1239,plain,
! [X0,X1] : composition(meet(X0,converse(X1)),meet(X1,converse(X0))) = join(meet(composition(X0,X1),one),composition(meet(X0,converse(X1)),meet(X1,converse(X0)))),
inference(forward_demodulation,[],[f1227,f440]) ).
fof(f1258,plain,
! [X0,X1] : composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1))) = join(meet(X0,X1),composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f1184,f429]) ).
fof(f1262,plain,
! [X0,X1] : composition(meet(X0,converse(X1)),meet(X1,converse(X0))) = join(meet(one,composition(X0,X1)),composition(meet(X0,converse(X1)),meet(X1,converse(X0)))),
inference(forward_demodulation,[],[f1239,f93]) ).
fof(f1274,plain,
! [X0,X1] : composition(meet(X0,X1),meet(one,composition(converse(X0),X1))) = join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f1258,f8]) ).
fof(f1428,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f130,f1103]) ).
fof(f1542,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1428,f15]) ).
fof(f1625,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1542,f1]) ).
fof(f1659,plain,
top = converse(top),
inference(superposition,[],[f1625,f177]) ).
fof(f1827,plain,
zero = converse(zero),
inference(superposition,[],[f987,f962]) ).
fof(f2278,plain,
! [X0,X1] : join(X0,top) = join(X1,join(complement(X1),X0)),
inference(superposition,[],[f131,f15]) ).
fof(f2553,plain,
! [X0,X1] : top = join(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f2278,f1542]) ).
fof(f2718,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
inference(superposition,[],[f546,f2553]) ).
fof(f2731,plain,
! [X0,X1] : join(complement(top),meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(forward_demodulation,[],[f2718,f1]) ).
fof(f2753,plain,
! [X0,X1] : join(complement(top),meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f2731,f956]) ).
fof(f2764,plain,
! [X0,X1] : join(zero,meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f2753,f32]) ).
fof(f2772,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f2764,f939]) ).
fof(f2780,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f2772,f1]) ).
fof(f4192,plain,
! [X0] : zero = join(zero,composition(X0,complement(composition(converse(X0),top)))),
inference(superposition,[],[f485,f32]) ).
fof(f4238,plain,
! [X0] : zero = composition(X0,complement(composition(converse(X0),top))),
inference(forward_demodulation,[],[f4192,f939]) ).
fof(f4261,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f4238,f1659]) ).
fof(f4358,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f350,f4261]) ).
fof(f4367,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f4358,f939]) ).
fof(f4375,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f4367,f1542]) ).
fof(f4382,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f4375,f4261]) ).
fof(f4406,plain,
! [X0] : composition(X0,zero) = composition(X0,complement(composition(top,top))),
inference(superposition,[],[f160,f4382]) ).
fof(f4418,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f4406,f4382]) ).
fof(f4460,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(superposition,[],[f77,f4418]) ).
fof(f4463,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f4460,f1827]) ).
fof(f5774,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f603,f494]) ).
fof(f5834,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f5774,f546]) ).
fof(f7249,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5834,f27]) ).
fof(f7396,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f7249,f2780]) ).
fof(f7480,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f7396,f1]) ).
fof(f8877,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f7480,f131]) ).
fof(f9825,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = join(X0,converse(top)),
inference(superposition,[],[f8877,f177]) ).
fof(f10043,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = join(X0,top),
inference(forward_demodulation,[],[f9825,f1659]) ).
fof(f10126,plain,
! [X0] : top = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f10043,f1542]) ).
fof(f10154,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f10126,f1]) ).
fof(f10199,plain,
! [X0] : join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f546,f10154]) ).
fof(f10224,plain,
! [X0] : join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f10199,f1]) ).
fof(f10260,plain,
! [X0] : join(zero,meet(X0,converse(complement(converse(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f10224,f32]) ).
fof(f10278,plain,
! [X0] : meet(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f10260,f939]) ).
fof(f12676,plain,
! [X0] : composition(zero,meet(X0,converse(complement(converse(X0))))) = join(meet(one,composition(complement(converse(X0)),X0)),composition(zero,meet(X0,converse(complement(converse(X0)))))),
inference(superposition,[],[f1262,f103]) ).
fof(f12740,plain,
! [X0] : zero = join(meet(one,composition(complement(converse(X0)),X0)),zero),
inference(forward_demodulation,[],[f12676,f4463]) ).
fof(f12777,plain,
! [X0] : zero = join(zero,meet(one,composition(complement(converse(X0)),X0))),
inference(forward_demodulation,[],[f12740,f1]) ).
fof(f12805,plain,
! [X0] : zero = meet(one,composition(complement(converse(X0)),X0)),
inference(forward_demodulation,[],[f12777,f939]) ).
fof(f13076,plain,
! [X0] : zero = meet(one,composition(complement(X0),converse(X0))),
inference(superposition,[],[f12805,f10]) ).
fof(f13302,plain,
! [X0] : zero = meet(one,composition(meet(X0,X0),converse(complement(X0)))),
inference(superposition,[],[f13076,f512]) ).
fof(f13367,plain,
! [X0] : zero = meet(one,composition(X0,converse(complement(X0)))),
inference(forward_demodulation,[],[f13302,f958]) ).
fof(f13414,plain,
! [X0] : composition(meet(X0,converse(complement(converse(X0)))),zero) = join(meet(X0,converse(complement(converse(X0)))),composition(meet(X0,converse(complement(converse(X0)))),zero)),
inference(superposition,[],[f1274,f13367]) ).
fof(f13462,plain,
! [X0] : zero = join(meet(X0,converse(complement(converse(X0)))),zero),
inference(forward_demodulation,[],[f13414,f4418]) ).
fof(f13482,plain,
! [X0] : zero = join(zero,meet(X0,converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f13462,f1]) ).
fof(f13494,plain,
! [X0] : zero = meet(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f13482,f939]) ).
fof(f21701,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,meet(converse(complement(converse(complement(X0)))),complement(X0))),
inference(superposition,[],[f605,f10278]) ).
fof(f21843,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,meet(complement(X0),converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f21701,f93]) ).
fof(f21905,plain,
! [X0] : join(X0,zero) = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[],[f21843,f13494]) ).
fof(f21929,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f21905,f962]) ).
fof(f22462,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f21929,f956]) ).
fof(f22592,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f22462,f10]) ).
fof(f22923,plain,
converse(complement(sk1)) != converse(complement(sk1)),
inference(superposition,[],[f23,f22592]) ).
fof(f22987,plain,
$false,
inference(trivial_inequality_removal,[],[f22923]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL004-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n014.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 22:49:47 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 4.12/1.71 % (1251096)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.12/1.71 % (1251103)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1183038404:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.12/1.71 % (1251106)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=877184985:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.12/1.71 % (1251104)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3086308026:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.12/1.71 % (1251105)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=458558005:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.12/1.71 % (1251102)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=446084443:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.12/1.71 % (1251107)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1787340194:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.12/1.71 % (1251101)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=2173330675:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.12/1.71 % (1251104)Instruction limit reached!
% 4.12/1.71 % (1251104)------------------------------
% 4.12/1.71 % (1251104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.71 % (1251104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.71 % (1251104)CaDiCaL version: 2.1.3
% 4.12/1.71 % (1251104)Termination reason: Instruction limit
% 4.12/1.71 % (1251104)Termination phase: Saturation
% 4.12/1.71 % (1251104)Time elapsed: 0.083 s
% 4.12/1.71 % (1251104)Peak memory usage: 88 MB
% 4.12/1.71 % (1251104)Instructions burned: 137 (million)
% 4.12/1.71 % (1251105)Instruction limit reached!
% 4.12/1.71 % (1251105)------------------------------
% 4.12/1.71 % (1251105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.71 % (1251105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.71 % (1251105)CaDiCaL version: 2.1.3
% 4.12/1.71 % (1251105)Termination reason: Instruction limit
% 4.12/1.71 % (1251105)Termination phase: Saturation
% 4.12/1.71 % (1251105)Time elapsed: 0.105 s
% 4.12/1.71 % (1251105)Peak memory usage: 89 MB
% 4.12/1.71 % (1251105)Instructions burned: 182 (million)
% 4.12/1.71 % (1251106)Instruction limit reached!
% 4.12/1.71 % (1251106)------------------------------
% 4.12/1.71 % (1251106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.71 % (1251106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.71 % (1251106)CaDiCaL version: 2.1.3
% 4.12/1.71 % (1251106)Termination reason: Instruction limit
% 4.12/1.71 % (1251106)Termination phase: Saturation
% 4.12/1.71 % (1251106)Time elapsed: 0.162 s
% 4.12/1.71 % (1251106)Peak memory usage: 90 MB
% 4.12/1.71 % (1251106)Instructions burned: 257 (million)
% 4.12/1.71 % (1251115)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=598890111:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.12/1.71 % (1251116)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1744997329:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.12/1.71 % (1251117)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=916128104:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.12/1.71 % (1251107)First to succeed.
% 4.12/1.71 % (1251107)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1251096"
% 4.12/1.71 % (1251117)Instruction limit reached!
% 4.12/1.71 % (1251117)------------------------------
% 4.12/1.71 % (1251117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.71 % (1251117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.71 % (1251117)CaDiCaL version: 2.1.3
% 4.12/1.71 % (1251117)Termination reason: Instruction limit
% 4.12/1.71 % (1251117)Termination phase: Saturation
% 4.12/1.71 % (1251117)Time elapsed: 0.117 s
% 4.12/1.71 % (1251117)Peak memory usage: 90 MB
% 4.12/1.71 % (1251117)Instructions burned: 217 (million)
% 4.12/1.71 % (1251103)Also succeeded, but the first one will report.
% 4.12/1.71 % (1251121)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=3660299081:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 4.12/1.71 % (1251107)Refutation found. Thanks to Tanya!
% 4.12/1.71 % SZS status Unsatisfiable for theBenchmark
% 4.12/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 6.55/1.91 % (1251107)------------------------------
% 6.55/1.91 % (1251107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.91 % (1251107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.91 % (1251107)CaDiCaL version: 2.1.3
% 6.55/1.91 % (1251107)Termination reason: Refutation
% 6.55/1.91 % (1251107)Time elapsed: 0.408 s
% 6.55/1.91 % (1251107)Peak memory usage: 96 MB
% 6.55/1.91 % (1251107)Instructions burned: 730 (million)
% 6.55/1.91 % (1251107)------------------------------
% 6.55/1.91 % (1251107)------------------------------
% 6.55/1.91 % (1251096)Success in time 0.835 s
% 6.55/1.91 % Vampire exiting
%------------------------------------------------------------------------------