%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL034-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:34:00 PM UTC 2026
% Result : Unsatisfiable 7.08s 3.53s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 28
% Syntax : Number of formulae : 226 ( 226 unt; 13 def)
% Number of atoms : 226 ( 225 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 185 ( 185 !; 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,negated_conjecture,
! [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,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
join(composition(sk2,meet(sk1,sk3)),composition(meet(sk2,converse(sk1)),meet(sk1,sk3))) != composition(meet(sk2,converse(sk1)),meet(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
composition(meet(sk2,converse(sk1)),meet(sk1,sk3)) != join(composition(sk2,meet(sk1,sk3)),composition(meet(sk2,converse(sk1)),meet(sk1,sk3))),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
composition(complement(join(complement(sk2),complement(converse(sk1)))),complement(join(complement(sk1),complement(sk3)))) != join(composition(sk2,complement(join(complement(sk1),complement(sk3)))),composition(complement(join(complement(sk2),complement(converse(sk1)))),complement(join(complement(sk1),complement(sk3))))),
inference(definition_unfolding,[],[f20,f6,f6,f6,f6,f6]) ).
fof(f23,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sk1 = sF0,
inference(definition_folding,[],[f18,f24]) ).
fof(f26,definition,
sF1 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
complement(sk2) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF2 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f29,plain,
converse(sk1) = sF2,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f31,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF4 = join(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f33,plain,
join(sF1,sF3) = sF4,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF6 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f37,plain,
complement(sk1) = sF6,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF7 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f39,plain,
complement(sk3) = sF7,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF8 = join(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f41,plain,
join(sF6,sF7) = sF8,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f43,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF10 = composition(sF5,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f45,plain,
composition(sF5,sF9) = sF10,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF11 = composition(sk2,sF9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f47,plain,
composition(sk2,sF9) = sF11,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF12 = join(sF11,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f49,plain,
join(sF11,sF10) = sF12,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
sF10 != sF12,
inference(definition_folding,[],[f22,f49,f45,f43,f41,f39,f37,f35,f33,f31,f29,f27,f47,f43,f41,f39,f37,f45,f43,f41,f39,f37,f35,f33,f31,f29,f27]) ).
fof(f51,plain,
zero = complement(top),
inference(backward_demodulation,[],[f21,f15]) ).
fof(f52,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f53,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f54,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f24,f25]) ).
fof(f62,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f53,f15]) ).
fof(f76,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f62,f51]) ).
fof(f115,plain,
! [X0] : converse(join(sk1,X0)) = join(sF2,converse(X0)),
inference(superposition,[],[f11,f29]) ).
fof(f118,plain,
! [X0] : composition(join(sF5,X0),sF9) = join(sF10,composition(X0,sF9)),
inference(superposition,[],[f9,f45]) ).
fof(f135,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f52,f54]) ).
fof(f138,plain,
complement(top) = join(complement(top),composition(converse(sk1),sF6)),
inference(forward_demodulation,[],[f135,f37]) ).
fof(f139,plain,
complement(top) = join(complement(top),composition(sF2,sF6)),
inference(forward_demodulation,[],[f138,f29]) ).
fof(f140,plain,
zero = join(zero,composition(sF2,sF6)),
inference(forward_demodulation,[],[f139,f51]) ).
fof(f150,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f53,f1]) ).
fof(f154,plain,
! [X0] : converse(composition(sk1,X0)) = composition(converse(X0),sF2),
inference(superposition,[],[f12,f29]) ).
fof(f157,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(f162,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f175,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f178,plain,
sk1 = converse(sF2),
inference(superposition,[],[f10,f29]) ).
fof(f179,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f182,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f183,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(converse(X0),X1)),
inference(superposition,[],[f11,f10]) ).
fof(f189,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f183,f15]) ).
fof(f251,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f150,f15]) ).
fof(f258,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f251,f1]) ).
fof(f280,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f258,f1]) ).
fof(f292,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f280,f51]) ).
fof(f298,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f76,f292]) ).
fof(f301,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f292,f298]) ).
fof(f313,plain,
sk1 = complement(sF6),
inference(superposition,[],[f298,f37]) ).
fof(f314,plain,
sk2 = complement(sF1),
inference(superposition,[],[f298,f27]) ).
fof(f315,plain,
sk3 = complement(sF7),
inference(superposition,[],[f298,f39]) ).
fof(f316,plain,
sF2 = complement(sF3),
inference(superposition,[],[f298,f31]) ).
fof(f321,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f53,f298]) ).
fof(f324,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f150,f298]) ).
fof(f341,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f321,f1]) ).
fof(f349,plain,
complement(sF1) = join(complement(sF4),complement(join(sF1,complement(sF3)))),
inference(superposition,[],[f321,f33]) ).
fof(f350,plain,
complement(sF6) = join(complement(sF8),complement(join(sF6,complement(sF7)))),
inference(superposition,[],[f321,f41]) ).
fof(f362,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f321,f321]) ).
fof(f369,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f377,plain,
complement(sF6) = join(complement(sF8),complement(join(sF6,sk3))),
inference(forward_demodulation,[],[f350,f315]) ).
fof(f378,plain,
complement(sF1) = join(complement(sF4),complement(join(sF1,sF2))),
inference(forward_demodulation,[],[f349,f316]) ).
fof(f385,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(join(X0,complement(X1)),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f369,f1]) ).
fof(f388,plain,
complement(sF6) = join(sF9,complement(join(sF6,sk3))),
inference(forward_demodulation,[],[f377,f43]) ).
fof(f389,plain,
complement(sF1) = join(sF5,complement(join(sF1,sF2))),
inference(forward_demodulation,[],[f378,f35]) ).
fof(f393,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f385,f2]) ).
fof(f395,plain,
sk1 = join(sF9,complement(join(sF6,sk3))),
inference(forward_demodulation,[],[f388,f313]) ).
fof(f396,plain,
sk2 = join(sF5,complement(join(sF1,sF2))),
inference(forward_demodulation,[],[f389,f314]) ).
fof(f399,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f393,f298]) ).
fof(f401,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f399,f298]) ).
fof(f504,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f179,f8]) ).
fof(f515,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f504,f10]) ).
fof(f546,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X1,top),
inference(superposition,[],[f175,f15]) ).
fof(f647,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f324,f341]) ).
fof(f658,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f647,f1]) ).
fof(f679,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f658,f1]) ).
fof(f696,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f679,f2]) ).
fof(f710,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f696,f298]) ).
fof(f722,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f710,f298]) ).
fof(f729,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f52,f515]) ).
fof(f735,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f515]) ).
fof(f736,plain,
one = converse(one),
inference(superposition,[],[f8,f515]) ).
fof(f737,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f515,f736]) ).
fof(f738,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f735,f736]) ).
fof(f742,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f729,f737]) ).
fof(f752,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f742,f298]) ).
fof(f763,plain,
! [X0] : complement(complement(X0)) = join(zero,complement(complement(X0))),
inference(superposition,[],[f301,f742]) ).
fof(f773,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f763,f298]) ).
fof(f795,plain,
zero = composition(sF2,sF6),
inference(backward_demodulation,[],[f140,f773]) ).
fof(f836,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f752]) ).
fof(f837,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f175,f752]) ).
fof(f838,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f175,f752]) ).
fof(f894,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f773]) ).
fof(f1146,plain,
! [X0] : composition(join(sF2,X0),sF6) = join(zero,composition(X0,sF6)),
inference(superposition,[],[f9,f795]) ).
fof(f1147,plain,
! [X0] : composition(X0,sF6) = composition(join(sF2,X0),sF6),
inference(forward_demodulation,[],[f1146,f773]) ).
fof(f1197,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f836,f15]) ).
fof(f1200,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f836,f341]) ).
fof(f1240,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1200,f1]) ).
fof(f1248,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f546,f1197]) ).
fof(f1262,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f401,f1240]) ).
fof(f1268,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f162,f1248]) ).
fof(f1276,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f722,f1262]) ).
fof(f1289,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1276,f838]) ).
fof(f1314,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1289,f1]) ).
fof(f1328,plain,
join(sF1,complement(sF3)) = join(sF1,complement(sF4)),
inference(superposition,[],[f1289,f33]) ).
fof(f1329,plain,
join(sF6,complement(sF7)) = join(sF6,complement(sF8)),
inference(superposition,[],[f1289,f41]) ).
fof(f1362,plain,
join(sF6,complement(sF7)) = join(sF6,sF9),
inference(forward_demodulation,[],[f1329,f43]) ).
fof(f1363,plain,
join(sF1,complement(sF3)) = join(sF1,sF5),
inference(forward_demodulation,[],[f1328,f35]) ).
fof(f1381,plain,
join(sF6,complement(sF7)) = join(sF9,sF6),
inference(forward_demodulation,[],[f1362,f1]) ).
fof(f1382,plain,
join(sF1,sF2) = join(sF1,sF5),
inference(forward_demodulation,[],[f1363,f316]) ).
fof(f1400,plain,
join(sF6,sk3) = join(sF9,sF6),
inference(forward_demodulation,[],[f1381,f315]) ).
fof(f1412,plain,
sk1 = join(sF9,complement(join(sF9,sF6))),
inference(backward_demodulation,[],[f395,f1400]) ).
fof(f1418,plain,
sk1 = join(sF9,complement(sF6)),
inference(forward_demodulation,[],[f1412,f1289]) ).
fof(f1423,plain,
sk1 = join(sF9,sk1),
inference(forward_demodulation,[],[f1418,f313]) ).
fof(f1522,plain,
join(sF3,complement(sF1)) = join(sF3,complement(sF4)),
inference(superposition,[],[f1314,f33]) ).
fof(f1523,plain,
join(sF5,complement(join(sF1,sF2))) = join(sF5,complement(sF1)),
inference(superposition,[],[f1314,f1382]) ).
fof(f1560,plain,
join(sF5,complement(join(sF1,sF2))) = join(sF5,sk2),
inference(forward_demodulation,[],[f1523,f314]) ).
fof(f1561,plain,
join(sF3,complement(sF1)) = join(sF3,sF5),
inference(forward_demodulation,[],[f1522,f35]) ).
fof(f1585,plain,
sk2 = join(sF5,sk2),
inference(forward_demodulation,[],[f1560,f396]) ).
fof(f1586,plain,
join(sF3,sk2) = join(sF3,sF5),
inference(forward_demodulation,[],[f1561,f314]) ).
fof(f2002,plain,
! [X0] : composition(join(converse(top),X0),converse(sk1)) = join(converse(sk1),composition(X0,converse(sk1))),
inference(superposition,[],[f157,f54]) ).
fof(f2004,plain,
! [X0] : composition(join(converse(sF6),X0),converse(sF2)) = join(converse(zero),composition(X0,converse(sF2))),
inference(superposition,[],[f157,f795]) ).
fof(f2015,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f157,f12]) ).
fof(f2034,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f2015,f11]) ).
fof(f2043,plain,
! [X0] : composition(join(converse(sF6),X0),sk1) = join(converse(zero),composition(X0,sk1)),
inference(forward_demodulation,[],[f2004,f178]) ).
fof(f2044,plain,
! [X0] : composition(join(converse(top),X0),converse(sk1)) = composition(join(one,X0),converse(sk1)),
inference(forward_demodulation,[],[f2002,f738]) ).
fof(f2052,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f2034,f11]) ).
fof(f2056,plain,
! [X0] : composition(join(one,X0),sF2) = composition(join(converse(top),X0),sF2),
inference(forward_demodulation,[],[f2044,f29]) ).
fof(f2060,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f2052,f12]) ).
fof(f2063,plain,
! [X0] : join(sF2,composition(X0,sF2)) = composition(join(converse(top),X0),sF2),
inference(forward_demodulation,[],[f2056,f738]) ).
fof(f2120,plain,
composition(sk2,sF9) = join(sF10,composition(sk2,sF9)),
inference(superposition,[],[f118,f1585]) ).
fof(f2129,plain,
sF11 = join(sF10,sF11),
inference(forward_demodulation,[],[f2120,f47]) ).
fof(f2138,plain,
sF11 = join(sF11,sF10),
inference(forward_demodulation,[],[f2129,f1]) ).
fof(f2140,plain,
sF11 = sF12,
inference(backward_demodulation,[],[f49,f2138]) ).
fof(f2141,plain,
sF10 != sF11,
inference(backward_demodulation,[],[f50,f2140]) ).
fof(f2607,plain,
! [X0,X1] : join(X0,join(X0,complement(X1))) = join(complement(join(X1,X0)),X0),
inference(superposition,[],[f837,f1314]) ).
fof(f2705,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(X0,join(X0,complement(X1))),
inference(forward_demodulation,[],[f2607,f1]) ).
fof(f2750,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f2705,f837]) ).
fof(f4036,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f2060]) ).
fof(f4052,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4036,f10]) ).
fof(f4124,plain,
! [X0] : composition(sk1,join(top,X0)) = join(sk1,composition(sk1,X0)),
inference(superposition,[],[f4052,f54]) ).
fof(f4205,plain,
! [X0] : composition(sk1,top) = join(sk1,composition(sk1,X0)),
inference(forward_demodulation,[],[f4124,f1268]) ).
fof(f4224,plain,
! [X0] : sk1 = join(sk1,composition(sk1,X0)),
inference(forward_demodulation,[],[f4205,f54]) ).
fof(f4720,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f182,f773]) ).
fof(f4721,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f182,f1268]) ).
fof(f4744,plain,
! [X0] : join(sF2,composition(X0,sF2)) = composition(converse(top),sF2),
inference(backward_demodulation,[],[f2063,f4721]) ).
fof(f4745,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f4720,f10]) ).
fof(f4756,plain,
! [X0] : composition(X0,sk1) = composition(join(converse(sF6),X0),sk1),
inference(backward_demodulation,[],[f2043,f4745]) ).
fof(f4815,plain,
zero = converse(zero),
inference(superposition,[],[f894,f4745]) ).
fof(f5285,plain,
composition(converse(sF6),sk1) = composition(zero,sk1),
inference(superposition,[],[f4756,f894]) ).
fof(f6690,plain,
converse(top) = join(sF2,converse(complement(sk1))),
inference(superposition,[],[f115,f15]) ).
fof(f6697,plain,
! [X0] : converse(sk1) = join(sF2,converse(composition(sk1,X0))),
inference(superposition,[],[f115,f4224]) ).
fof(f6723,plain,
! [X0] : converse(sk1) = join(sF2,composition(converse(X0),sF2)),
inference(forward_demodulation,[],[f6697,f154]) ).
fof(f6730,plain,
converse(top) = join(sF2,converse(sF6)),
inference(forward_demodulation,[],[f6690,f37]) ).
fof(f6741,plain,
converse(sk1) = composition(converse(top),sF2),
inference(forward_demodulation,[],[f6723,f4744]) ).
fof(f6747,plain,
sF2 = composition(converse(top),sF2),
inference(forward_demodulation,[],[f6741,f29]) ).
fof(f6749,plain,
! [X0] : sF2 = join(sF2,composition(X0,sF2)),
inference(backward_demodulation,[],[f4744,f6747]) ).
fof(f6767,plain,
join(complement(sF2),converse(sF6)) = join(converse(sF6),complement(converse(top))),
inference(superposition,[],[f2750,f6730]) ).
fof(f6770,plain,
join(converse(sF6),complement(converse(top))) = join(sF3,converse(sF6)),
inference(forward_demodulation,[],[f6767,f31]) ).
fof(f8443,plain,
! [X0] : composition(sF2,sF6) = composition(composition(X0,sF2),sF6),
inference(superposition,[],[f1147,f6749]) ).
fof(f8470,plain,
! [X0] : composition(sF2,sF6) = composition(X0,composition(sF2,sF6)),
inference(forward_demodulation,[],[f8443,f7]) ).
fof(f8478,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f8470,f795]) ).
fof(f8516,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(superposition,[],[f179,f8478]) ).
fof(f8524,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f8516,f4815]) ).
fof(f8553,plain,
zero = composition(converse(sF6),sk1),
inference(backward_demodulation,[],[f5285,f8524]) ).
fof(f8715,plain,
! [X0] : composition(converse(sF6),join(X0,sk1)) = join(composition(converse(sF6),X0),zero),
inference(superposition,[],[f4052,f8553]) ).
fof(f8720,plain,
! [X0] : join(zero,composition(converse(sF6),X0)) = composition(converse(sF6),join(X0,sk1)),
inference(forward_demodulation,[],[f8715,f1]) ).
fof(f8733,plain,
! [X0] : composition(converse(sF6),X0) = composition(converse(sF6),join(X0,sk1)),
inference(forward_demodulation,[],[f8720,f773]) ).
fof(f9597,plain,
converse(top) = join(sk1,converse(complement(sF2))),
inference(superposition,[],[f189,f29]) ).
fof(f9635,plain,
top = converse(top),
inference(superposition,[],[f1268,f189]) ).
fof(f9671,plain,
join(sF3,converse(sF6)) = join(converse(sF6),complement(top)),
inference(backward_demodulation,[],[f6770,f9635]) ).
fof(f9726,plain,
converse(top) = join(sk1,converse(sF3)),
inference(forward_demodulation,[],[f9597,f31]) ).
fof(f9750,plain,
join(sF3,converse(sF6)) = join(complement(top),converse(sF6)),
inference(forward_demodulation,[],[f9671,f1]) ).
fof(f9780,plain,
top = join(sk1,converse(sF3)),
inference(forward_demodulation,[],[f9726,f9635]) ).
fof(f9789,plain,
join(sF3,converse(sF6)) = join(zero,converse(sF6)),
inference(forward_demodulation,[],[f9750,f51]) ).
fof(f9813,plain,
converse(sF6) = join(sF3,converse(sF6)),
inference(forward_demodulation,[],[f9789,f773]) ).
fof(f9862,plain,
converse(converse(sF6)) = join(converse(sF3),sF6),
inference(superposition,[],[f182,f9813]) ).
fof(f9887,plain,
converse(converse(sF6)) = join(sF6,converse(sF3)),
inference(forward_demodulation,[],[f9862,f1]) ).
fof(f9892,plain,
sF6 = join(sF6,converse(sF3)),
inference(forward_demodulation,[],[f9887,f10]) ).
fof(f9984,plain,
join(complement(sk1),converse(sF3)) = join(converse(sF3),complement(top)),
inference(superposition,[],[f2750,f9780]) ).
fof(f9989,plain,
join(complement(sk1),converse(sF3)) = join(complement(top),converse(sF3)),
inference(forward_demodulation,[],[f9984,f1]) ).
fof(f10007,plain,
join(complement(sk1),converse(sF3)) = join(zero,converse(sF3)),
inference(forward_demodulation,[],[f9989,f51]) ).
fof(f10021,plain,
converse(sF3) = join(complement(sk1),converse(sF3)),
inference(forward_demodulation,[],[f10007,f773]) ).
fof(f10030,plain,
converse(sF3) = join(sF6,converse(sF3)),
inference(forward_demodulation,[],[f10021,f37]) ).
fof(f10040,plain,
sF6 = converse(sF3),
inference(forward_demodulation,[],[f10030,f9892]) ).
fof(f10072,plain,
sF3 = converse(sF6),
inference(superposition,[],[f10,f10040]) ).
fof(f10113,plain,
zero = composition(sF3,sk1),
inference(backward_demodulation,[],[f8553,f10072]) ).
fof(f10116,plain,
! [X0] : composition(sF3,X0) = composition(sF3,join(X0,sk1)),
inference(backward_demodulation,[],[f8733,f10072]) ).
fof(f10950,plain,
composition(sF3,sk1) = composition(sF3,sF9),
inference(superposition,[],[f10116,f1423]) ).
fof(f10990,plain,
zero = composition(sF3,sF9),
inference(forward_demodulation,[],[f10950,f10113]) ).
fof(f11003,plain,
! [X0] : composition(join(sF3,X0),sF9) = join(zero,composition(X0,sF9)),
inference(superposition,[],[f9,f10990]) ).
fof(f11020,plain,
! [X0] : composition(X0,sF9) = composition(join(sF3,X0),sF9),
inference(forward_demodulation,[],[f11003,f773]) ).
fof(f11047,plain,
composition(sk2,sF9) = composition(join(sF3,sF5),sF9),
inference(superposition,[],[f11020,f1586]) ).
fof(f11076,plain,
composition(sF5,sF9) = composition(sk2,sF9),
inference(forward_demodulation,[],[f11047,f11020]) ).
fof(f11092,plain,
composition(sF5,sF9) = sF11,
inference(forward_demodulation,[],[f11076,f47]) ).
fof(f11125,plain,
sF10 = sF11,
inference(backward_demodulation,[],[f45,f11092]) ).
fof(f11128,plain,
$false,
inference(forward_subsumption_resolution,[],[f11125,f2141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL034-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n003.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 22:56:56 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 7.08/3.53 % (1018122)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.08/3.53 % (1018131)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2636370003:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.08/3.53 % (1018130)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3617029918:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.08/3.53 % (1018129)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2655198277:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.08/3.53 % (1018128)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=4218258128:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.08/3.53 % (1018127)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=908918852:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.08/3.53 % (1018133)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2071507682:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.08/3.53 % (1018132)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2646376031:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.08/3.53 % (1018131)Instruction limit reached!
% 7.08/3.53 % (1018131)------------------------------
% 7.08/3.53 % (1018131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/3.53 % (1018131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/3.53 % (1018131)CaDiCaL version: 2.1.3
% 7.08/3.53 % (1018131)Termination reason: Instruction limit
% 7.08/3.53 % (1018131)Termination phase: Saturation
% 7.08/3.53 % (1018131)Time elapsed: 0.097 s
% 7.08/3.53 % (1018131)Peak memory usage: 90 MB
% 7.08/3.53 % (1018131)Instructions burned: 182 (million)
% 7.08/3.53 % (1018130)Instruction limit reached!
% 7.08/3.53 % (1018130)------------------------------
% 7.08/3.53 % (1018130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/3.53 % (1018130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/3.53 % (1018130)CaDiCaL version: 2.1.3
% 7.08/3.53 % (1018130)Termination reason: Instruction limit
% 7.08/3.53 % (1018130)Termination phase: Saturation
% 7.08/3.53 % (1018130)Time elapsed: 0.137 s
% 7.08/3.53 % (1018130)Peak memory usage: 89 MB
% 7.08/3.53 % (1018130)Instructions burned: 136 (million)
% 7.08/3.53 % (1018141)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2109221161:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 7.08/3.53 % (1018132)Instruction limit reached!
% 7.08/3.53 % (1018132)------------------------------
% 7.08/3.53 % (1018132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/3.53 % (1018132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/3.53 % (1018132)CaDiCaL version: 2.1.3
% 7.08/3.53 % (1018132)Termination reason: Instruction limit
% 7.08/3.53 % (1018132)Termination phase: Saturation
% 7.08/3.53 % (1018132)Time elapsed: 0.283 s
% 7.08/3.53 % (1018132)Peak memory usage: 90 MB
% 7.08/3.53 % (1018132)Instructions burned: 258 (million)
% 7.08/3.53 % (1018142)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2981669232:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 7.08/3.53 % (1018144)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2488650835:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 7.08/3.53 % (1018144)Instruction limit reached!
% 7.08/3.53 % (1018144)------------------------------
% 7.08/3.53 % (1018144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/3.53 % (1018144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/3.53 % (1018144)CaDiCaL version: 2.1.3
% 7.08/3.53 % (1018144)Termination reason: Instruction limit
% 7.08/3.53 % (1018144)Termination phase: Saturation
% 7.08/3.53 % (1018144)Time elapsed: 0.226 s
% 7.08/3.53 % (1018144)Peak memory usage: 93 MB
% 7.08/3.53 % (1018144)Instructions burned: 215 (million)
% 7.08/3.53 % (1018133)Instruction limit reached!
% 7.08/3.53 % (1018133)------------------------------
% 7.08/3.53 % (1018133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/3.53 % (1018133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/3.53 % (1018133)CaDiCaL version: 2.1.3
% 7.08/3.53 % (1018133)Termination reason: Instruction limit
% 7.08/3.53 % (1018133)Termination phase: Saturation
% 7.08/3.53 % (1018133)Time elapsed: 1.088 s
% 7.08/3.53 % (1018133)Peak memory usage: 99 MB
% 7.08/3.53 % (1018133)Instructions burned: 1187 (million)
% 7.08/3.53 % (1018147)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=4138516026:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2988 on theBenchmark for (2988ds/317Mi)
% 7.08/3.53 % (1018148)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=1696358368:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 7.08/3.53 % (1018147)Instruction limit reached!
% 7.08/3.53 % (1018147)------------------------------
% 7.08/3.53 % (1018147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/3.53 % (1018147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/3.53 % (1018147)CaDiCaL version: 2.1.3
% 7.08/3.53 % (1018147)Termination reason: Instruction limit
% 7.08/3.53 % (1018147)Termination phase: Saturation
% 7.08/3.53 % (1018147)Time elapsed: 0.307 s
% 7.08/3.53 % (1018147)Peak memory usage: 91 MB
% 7.08/3.53 % (1018147)Instructions burned: 317 (million)
% 7.08/3.53 % (1018129)First to succeed.
% 7.08/3.53 % (1018129)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1018122"
% 7.08/3.53 % (1018151)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3767209828:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 7.08/3.53 % (1018129)Refutation found. Thanks to Tanya!
% 7.08/3.53 % SZS status Unsatisfiable for theBenchmark
% 7.08/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/3.92 % (1018129)------------------------------
% 0.28/3.92 % (1018129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/3.92 % (1018129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/3.92 % (1018129)CaDiCaL version: 2.1.3
% 0.28/3.92 % (1018129)Termination reason: Refutation
% 0.28/3.92 % (1018129)Time elapsed: 1.670 s
% 0.28/3.92 % (1018129)Peak memory usage: 139 MB
% 0.28/3.92 % (1018129)Instructions burned: 2182 (million)
% 0.28/3.92 % (1018129)------------------------------
% 0.28/3.92 % (1018129)------------------------------
% 0.28/3.92 % (1018122)Success in time 2.247 s
% 0.28/3.92 % Vampire exiting
%------------------------------------------------------------------------------