%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL016-2 : 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 : n009.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 12:33:44 PM UTC 2026
% Result : Unsatisfiable 12.26s 2.96s
% Output : Refutation 14.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 32
% Syntax : Number of formulae : 180 ( 165 unt; 20 def)
% Number of atoms : 197 ( 174 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 131 !; 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(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(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
( join(meet(composition(sk1,sk2),complement(composition(sk1,sk3))),meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3)))) != meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3)))
| join(meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))),meet(composition(sk1,sk2),complement(composition(sk1,sk3)))) != meet(composition(sk1,sk2),complement(composition(sk1,sk3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
( meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))) != join(meet(composition(sk1,sk2),complement(composition(sk1,sk3))),meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))))
| meet(composition(sk1,sk2),complement(composition(sk1,sk3))) != join(meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))),meet(composition(sk1,sk2),complement(composition(sk1,sk3)))) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
( complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),complement(complement(composition(sk1,sk3))))) != join(complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),complement(complement(composition(sk1,sk3))))))
| complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))) != join(complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),complement(complement(composition(sk1,sk3))))),complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3)))))) ),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6,f6,f6,f6,f6,f6]) ).
fof(f21,definition,
sF0 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f22,plain,
complement(sk2) = sF0,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF1 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f24,plain,
complement(sk3) = sF1,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f26,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF3 = join(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f28,plain,
join(sF0,sF2) = sF3,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f30,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF5 = composition(sk1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f32,plain,
composition(sk1,sF4) = sF5,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f34,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF7 = composition(sk1,sk3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f36,plain,
composition(sk1,sk3) = sF7,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f38,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f40,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF10 = join(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f42,plain,
join(sF6,sF9) = sF10,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f44,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF12 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f46,plain,
composition(sk1,sk2) = sF12,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f48,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF14 = join(sF13,sF9),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f50,plain,
join(sF13,sF9) = sF14,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF15 = complement(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f52,plain,
complement(sF14) = sF15,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF16 = join(sF15,sF11),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f54,plain,
join(sF15,sF11) = sF16,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF17 = join(sF11,sF15),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f56,plain,
join(sF11,sF15) = sF17,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
( sF11 != sF16
| sF15 != sF17 ),
inference(definition_folding,[],[f20,f56,f52,f50,f40,f38,f36,f48,f46,f44,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f52,f50,f40,f38,f36,f48,f46,f54,f44,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f52,f50,f40,f38,f36,f48,f46,f44,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22]) ).
fof(f59,definition,
( spl18_1
<=> sF15 = sF17 ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f61,plain,
( sF15 != sF17
| spl18_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl18_2
<=> sF11 = sF16 ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f64,plain,
( sF11 = sF16
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f57,f63,f59]) ).
fof(f98,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f100,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(f145,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f146,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f152,plain,
sF14 = join(sF9,sF13),
inference(superposition,[],[f50,f1]) ).
fof(f153,plain,
sF16 = join(sF11,sF15),
inference(superposition,[],[f54,f1]) ).
fof(f154,plain,
sF16 = sF17,
inference(forward_demodulation,[],[f153,f56]) ).
fof(f166,plain,
( sF15 != sF16
| spl18_1 ),
inference(superposition,[],[f61,f154]) ).
fof(f200,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f212,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f244,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f100,f12]) ).
fof(f254,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f244,f11]) ).
fof(f257,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f254,f11]) ).
fof(f259,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f257,f12]) ).
fof(f272,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f259]) ).
fof(f283,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f272,f10]) ).
fof(f297,plain,
! [X0] : composition(sk1,join(sk2,X0)) = join(sF12,composition(sk1,X0)),
inference(superposition,[],[f283,f46]) ).
fof(f303,plain,
! [X0] : composition(sk1,join(X0,sF4)) = join(composition(sk1,X0),sF5),
inference(superposition,[],[f283,f32]) ).
fof(f371,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f98,f8]) ).
fof(f385,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f371,f10]) ).
fof(f407,plain,
one = converse(one),
inference(superposition,[],[f8,f385]) ).
fof(f422,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f385,f407]) ).
fof(f438,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f14,f422]) ).
fof(f451,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f438,f385]) ).
fof(f668,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f200,f451]) ).
fof(f678,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f668,f4]) ).
fof(f719,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f678,f678]) ).
fof(f720,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f678,f19]) ).
fof(f754,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f720]) ).
fof(f768,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f212,f678]) ).
fof(f933,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f200,f719]) ).
fof(f949,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f933,f19]) ).
fof(f955,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f949,f754]) ).
fof(f959,plain,
! [X0] : join(sk2,X0) = join(complement(sF0),X0),
inference(superposition,[],[f955,f22]) ).
fof(f961,plain,
! [X0] : join(sF1,X0) = join(complement(sF2),X0),
inference(superposition,[],[f955,f26]) ).
fof(f962,plain,
! [X0] : join(sF3,X0) = join(complement(sF4),X0),
inference(superposition,[],[f955,f30]) ).
fof(f967,plain,
! [X0] : join(sF12,X0) = join(complement(sF13),X0),
inference(superposition,[],[f955,f48]) ).
fof(f985,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f678,f955]) ).
fof(f994,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f1,f955]) ).
fof(f1001,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f720,f955]) ).
fof(f1002,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1001,f720]) ).
fof(f1029,plain,
sk2 = complement(sF0),
inference(superposition,[],[f1002,f22]) ).
fof(f1030,plain,
sk3 = complement(sF1),
inference(superposition,[],[f1002,f24]) ).
fof(f1032,plain,
sF3 = complement(sF4),
inference(superposition,[],[f1002,f30]) ).
fof(f1034,plain,
sF7 = complement(sF8),
inference(superposition,[],[f1002,f38]) ).
fof(f1037,plain,
sF12 = complement(sF13),
inference(superposition,[],[f1002,f48]) ).
fof(f1047,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f145,f1002]) ).
fof(f1054,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f451,f1002]) ).
fof(f1059,plain,
sF7 = sF9,
inference(forward_demodulation,[],[f1034,f40]) ).
fof(f1060,plain,
sk3 = sF2,
inference(forward_demodulation,[],[f1030,f26]) ).
fof(f1062,plain,
sF7 = composition(sk1,sF2),
inference(superposition,[],[f36,f1060]) ).
fof(f1064,plain,
sF9 = composition(sk1,sF2),
inference(forward_demodulation,[],[f1062,f1059]) ).
fof(f1163,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f985,f1]) ).
fof(f1185,plain,
complement(sF0) = join(complement(sF0),complement(sF3)),
inference(superposition,[],[f985,f28]) ).
fof(f1230,plain,
complement(sF0) = join(sk2,complement(sF3)),
inference(forward_demodulation,[],[f1185,f959]) ).
fof(f1251,plain,
complement(sF0) = join(sk2,sF4),
inference(forward_demodulation,[],[f1230,f30]) ).
fof(f1262,plain,
sk2 = join(sk2,sF4),
inference(forward_demodulation,[],[f1251,f1029]) ).
fof(f1295,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f1163,f985]) ).
fof(f1351,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1295,f994]) ).
fof(f1371,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f1351,f994]) ).
fof(f1386,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1371,f2]) ).
fof(f1394,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1386,f1002]) ).
fof(f1442,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f212,f1394]) ).
fof(f1891,plain,
complement(sF4) = join(complement(sF4),complement(sk2)),
inference(superposition,[],[f1163,f1262]) ).
fof(f1892,plain,
complement(sF4) = join(sF3,complement(sk2)),
inference(forward_demodulation,[],[f1891,f962]) ).
fof(f1894,plain,
complement(sF4) = join(sF3,sF0),
inference(forward_demodulation,[],[f1892,f22]) ).
fof(f1895,plain,
sF3 = join(sF3,sF0),
inference(forward_demodulation,[],[f1894,f1032]) ).
fof(f2410,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f4,f1047]) ).
fof(f2417,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f146,f1047]) ).
fof(f2430,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2417,f994]) ).
fof(f2436,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2410,f955]) ).
fof(f2510,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(join(complement(X1),X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f2430,f994]) ).
fof(f2516,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2436,f768]) ).
fof(f2563,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f2510,f2]) ).
fof(f2588,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2563,f2516]) ).
fof(f2598,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2588,f1442]) ).
fof(f2618,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2598,f955]) ).
fof(f2833,plain,
join(complement(sF2),sF0) = join(sF0,complement(sF3)),
inference(superposition,[],[f2516,f28]) ).
fof(f2842,plain,
join(complement(sF13),sF9) = join(sF9,complement(sF14)),
inference(superposition,[],[f2516,f152]) ).
fof(f2933,plain,
join(complement(sF13),sF9) = join(sF9,sF15),
inference(forward_demodulation,[],[f2842,f52]) ).
fof(f2941,plain,
join(complement(sF2),sF0) = join(sF0,sF4),
inference(forward_demodulation,[],[f2833,f30]) ).
fof(f2991,plain,
join(sF12,sF9) = join(sF9,sF15),
inference(forward_demodulation,[],[f2933,f967]) ).
fof(f2999,plain,
join(sF1,sF0) = join(sF0,sF4),
inference(forward_demodulation,[],[f2941,f961]) ).
fof(f3086,plain,
join(sF9,complement(sF14)) = join(sF9,complement(sF13)),
inference(superposition,[],[f2618,f50]) ).
fof(f3168,plain,
join(sF9,complement(sF14)) = join(sF9,sF12),
inference(forward_demodulation,[],[f3086,f1037]) ).
fof(f3223,plain,
join(sF9,sF15) = join(sF9,sF12),
inference(forward_demodulation,[],[f3168,f52]) ).
fof(f3341,plain,
join(sF0,sF4) = join(sF0,sF1),
inference(superposition,[],[f1,f2999]) ).
fof(f5602,plain,
join(complement(sF4),sF0) = join(sF0,complement(join(sF0,sF1))),
inference(superposition,[],[f2516,f3341]) ).
fof(f5605,plain,
join(complement(sF4),sF0) = join(complement(sF1),sF0),
inference(forward_demodulation,[],[f5602,f2516]) ).
fof(f5612,plain,
join(sF2,sF0) = join(complement(sF4),sF0),
inference(forward_demodulation,[],[f5605,f26]) ).
fof(f5616,plain,
join(sF2,sF0) = join(sF3,sF0),
inference(forward_demodulation,[],[f5612,f962]) ).
fof(f5619,plain,
sF3 = join(sF2,sF0),
inference(forward_demodulation,[],[f5616,f1895]) ).
fof(f5636,plain,
join(sF2,complement(sF3)) = join(complement(sF0),sF2),
inference(superposition,[],[f2516,f5619]) ).
fof(f5643,plain,
join(sF2,complement(sF3)) = join(sk2,sF2),
inference(forward_demodulation,[],[f5636,f959]) ).
fof(f5651,plain,
join(sF2,sF4) = join(sk2,sF2),
inference(forward_demodulation,[],[f5643,f30]) ).
fof(f6768,plain,
join(sF12,composition(sk1,sF2)) = composition(sk1,join(sF2,sF4)),
inference(superposition,[],[f297,f5651]) ).
fof(f6794,plain,
join(sF12,composition(sk1,sF2)) = join(composition(sk1,sF2),sF5),
inference(forward_demodulation,[],[f6768,f303]) ).
fof(f6800,plain,
join(sF12,sF9) = join(sF9,sF5),
inference(forward_demodulation,[],[f6794,f1064]) ).
fof(f6803,plain,
join(sF9,sF15) = join(sF9,sF5),
inference(forward_demodulation,[],[f6800,f2991]) ).
fof(f6806,plain,
join(sF9,sF12) = join(sF9,sF5),
inference(forward_demodulation,[],[f6803,f3223]) ).
fof(f6817,plain,
join(sF9,complement(join(sF9,sF5))) = join(complement(sF12),sF9),
inference(superposition,[],[f2516,f6806]) ).
fof(f6820,plain,
join(sF13,sF9) = join(sF9,complement(join(sF9,sF5))),
inference(forward_demodulation,[],[f6817,f48]) ).
fof(f6827,plain,
join(sF13,sF9) = join(complement(sF5),sF9),
inference(forward_demodulation,[],[f6820,f2516]) ).
fof(f6832,plain,
join(sF6,sF9) = join(sF13,sF9),
inference(forward_demodulation,[],[f6827,f34]) ).
fof(f6836,plain,
join(sF6,sF9) = sF14,
inference(forward_demodulation,[],[f6832,f50]) ).
fof(f6839,plain,
sF10 = sF14,
inference(forward_demodulation,[],[f6836,f42]) ).
fof(f6842,plain,
complement(sF10) = sF15,
inference(superposition,[],[f52,f6839]) ).
fof(f6843,plain,
sF11 = sF15,
inference(forward_demodulation,[],[f6842,f44]) ).
fof(f6844,plain,
sF16 = join(sF11,sF11),
inference(superposition,[],[f54,f6843]) ).
fof(f6859,plain,
sF11 = sF16,
inference(forward_demodulation,[],[f6844,f1054]) ).
fof(f6861,plain,
spl18_2,
inference(avatar_split_clause,[],[f6859,f63]) ).
fof(f6977,plain,
( sF11 != sF15
| spl18_1
| ~ spl18_2 ),
inference(superposition,[],[f166,f64]) ).
fof(f6985,plain,
( $false
| spl18_1
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f6977,f6843]) ).
fof(f6986,plain,
( spl18_1
| ~ spl18_2 ),
inference(avatar_contradiction_clause,[],[f6985]) ).
cnf(s1,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f66]) ).
cnf(s2,plain,
spl18_2,
inference(sat_conversion,[],[f6861]) ).
cnf(s4,plain,
( spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f6986]) ).
cnf(s5,plain,
spl18_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f6988,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL016-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n009.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 22:51:30 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 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
% 12.26/2.96 % (2491323)Input is clausal, will run a generic CNF schedule.
% 12.26/2.96 % (2491328)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=2616678860:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.26/2.96 % (2491331)lrs+10_1_sil=8000:sp=occurrence:random_seed=968000633:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.26/2.96 % (2491331)Instruction limit reached!
% 12.26/2.96 % (2491331)------------------------------
% 12.26/2.96 % (2491331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491331)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491331)Termination reason: Instruction limit
% 12.26/2.96 % (2491331)Termination phase: Saturation
% 12.26/2.96 % (2491331)Time elapsed: 0.076 s
% 12.26/2.96 % (2491331)Peak memory usage: 89 MB
% 12.26/2.96 % (2491331)Instructions burned: 108 (million)
% 12.26/2.96 % (2491329)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=451721693:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.26/2.96 % (2491332)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=438511095:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.26/2.96 % (2491333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1768744163:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.26/2.96 % (2491330)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3585051639:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.26/2.96 % (2491334)dis-21_1_sil=8000:lcm=predicate:random_seed=1045666575:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.26/2.96 % (2491334)Refutation not found, incomplete strategy
% 12.26/2.96 % (2491334)------------------------------
% 12.26/2.96 % (2491334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491334)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491334)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.96 % (2491334)Time elapsed: 0.003 s
% 12.26/2.96 % (2491334)Peak memory usage: 88 MB
% 12.26/2.96 % (2491334)Instructions burned: 1 (million)
% 12.26/2.96 % (2491332)Instruction limit reached!
% 12.26/2.96 % (2491332)------------------------------
% 12.26/2.96 % (2491332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491332)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491332)Termination reason: Instruction limit
% 12.26/2.96 % (2491332)Termination phase: Saturation
% 12.26/2.96 % (2491332)Time elapsed: 0.110 s
% 12.26/2.96 % (2491332)Peak memory usage: 89 MB
% 12.26/2.96 % (2491332)Instructions burned: 114 (million)
% 12.26/2.96 % (2491333)Instruction limit reached!
% 12.26/2.96 % (2491333)------------------------------
% 12.26/2.96 % (2491333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491333)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491333)Termination reason: Instruction limit
% 12.26/2.96 % (2491333)Termination phase: Saturation
% 12.26/2.96 % (2491333)Time elapsed: 0.175 s
% 12.26/2.96 % (2491333)Peak memory usage: 90 MB
% 12.26/2.96 % (2491333)Instructions burned: 180 (million)
% 12.26/2.96 % (2491337)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3662549357:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.26/2.96 % (2491337)Refutation not found, incomplete strategy
% 12.26/2.96 % (2491337)------------------------------
% 12.26/2.96 % (2491337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491337)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491337)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.96 % (2491337)Time elapsed: 0.002 s
% 12.26/2.96 % (2491337)Peak memory usage: 88 MB
% 12.26/2.96 % (2491337)Instructions burned: 1 (million)
% 12.26/2.96 % (2491343)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1690622179:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 12.26/2.96 % (2491343)Refutation not found, incomplete strategy
% 12.26/2.96 % (2491343)------------------------------
% 12.26/2.96 % (2491343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491343)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491343)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.96 % (2491343)Time elapsed: 0.004 s
% 12.26/2.96 % (2491343)Peak memory usage: 88 MB
% 12.26/2.96 % (2491343)Instructions burned: 2 (million)
% 12.26/2.96 % (2491334)------------------------------
% 12.26/2.96 % (2491334)------------------------------
% 12.26/2.96 % (2491345)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3274094698:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.26/2.96 % (2491345)Refutation not found, incomplete strategy
% 12.26/2.96 % (2491345)------------------------------
% 12.26/2.96 % (2491345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491345)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491345)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.96 % (2491345)Time elapsed: 0.003 s
% 12.26/2.96 % (2491345)Peak memory usage: 88 MB
% 12.26/2.96 % (2491345)Instructions burned: 2 (million)
% 12.26/2.96 % (2491337)------------------------------
% 12.26/2.96 % (2491337)------------------------------
% 12.26/2.96 % (2491347)lrs+10_64_to=lpo:sil=8000:random_seed=4244666834:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 12.26/2.96 % (2491349)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1647178299:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 12.26/2.96 % (2491347)Instruction limit reached!
% 12.26/2.96 % (2491347)------------------------------
% 12.26/2.96 % (2491347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491347)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491347)Termination reason: Instruction limit
% 12.26/2.96 % (2491347)Termination phase: Saturation
% 12.26/2.96 % (2491347)Time elapsed: 0.119 s
% 12.26/2.96 % (2491347)Peak memory usage: 89 MB
% 12.26/2.96 % (2491347)Instructions burned: 126 (million)
% 12.26/2.96 % (2491343)------------------------------
% 12.26/2.96 % (2491343)------------------------------
% 12.26/2.96 % (2491349)Instruction limit reached!
% 12.26/2.96 % (2491349)------------------------------
% 12.26/2.96 % (2491349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491349)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491349)Termination reason: Instruction limit
% 12.26/2.96 % (2491349)Termination phase: Saturation
% 12.26/2.96 % (2491349)Time elapsed: 0.107 s
% 12.26/2.96 % (2491349)Peak memory usage: 90 MB
% 12.26/2.96 % (2491349)Instructions burned: 196 (million)
% 12.26/2.96 % (2491345)------------------------------
% 12.26/2.96 % (2491345)------------------------------
% 12.26/2.96 % (2491352)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1110901820:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 12.26/2.96 % (2491353)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=205807444:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 12.26/2.96 % (2491354)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=445129323:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 12.26/2.96 % (2491354)Instruction limit reached!
% 12.26/2.96 % (2491354)------------------------------
% 12.26/2.96 % (2491354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491354)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491354)Termination reason: Instruction limit
% 12.26/2.96 % (2491354)Termination phase: Saturation
% 12.26/2.96 % (2491354)Time elapsed: 0.056 s
% 12.26/2.96 % (2491354)Peak memory usage: 89 MB
% 12.26/2.96 % (2491354)Instructions burned: 108 (million)
% 12.26/2.96 % (2491355)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2792860531:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 12.26/2.96 % (2491355)Refutation not found, incomplete strategy
% 12.26/2.96 % (2491355)------------------------------
% 12.26/2.96 % (2491355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491355)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491355)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.96 % (2491355)Time elapsed: 0.003 s
% 12.26/2.96 % (2491355)Peak memory usage: 88 MB
% 12.26/2.96 % (2491355)Instructions burned: 1 (million)
% 12.26/2.96 % (2491352)Instruction limit reached!
% 12.26/2.96 % (2491352)------------------------------
% 12.26/2.96 % (2491352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491352)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491352)Termination reason: Instruction limit
% 12.26/2.96 % (2491352)Termination phase: Saturation
% 12.26/2.96 % (2491352)Time elapsed: 0.167 s
% 12.26/2.96 % (2491352)Peak memory usage: 91 MB
% 12.26/2.96 % (2491352)Instructions burned: 157 (million)
% 12.26/2.96 % (2491328)First to succeed.
% 12.26/2.96 % (2491328)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2491323"
% 12.26/2.96 % (2491359)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1096641435:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 12.26/2.96 % (2491361)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1715118940:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 12.26/2.96 % (2491359)Instruction limit reached!
% 12.26/2.96 % (2491359)------------------------------
% 12.26/2.96 % (2491359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.96 % (2491359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.96 % (2491359)CaDiCaL version: 2.1.3
% 12.26/2.96 % (2491359)Termination reason: Instruction limit
% 12.26/2.96 % (2491359)Termination phase: Saturation
% 12.26/2.96 % (2491359)Time elapsed: 0.117 s
% 12.26/2.96 % (2491359)Peak memory usage: 89 MB
% 12.26/2.96 % (2491359)Instructions burned: 244 (million)
% 12.26/2.96 % (2491355)------------------------------
% 12.26/2.96 % (2491355)------------------------------
% 12.26/2.96 % (2491328)Refutation found. Thanks to Tanya!
% 12.26/2.96 % SZS status Unsatisfiable for theBenchmark
% 12.26/2.96 % SZS output start Proof for theBenchmark
% See solution above
% 14.12/3.23 % (2491328)------------------------------
% 14.12/3.23 % (2491328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.12/3.23 % (2491328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.12/3.23 % (2491328)CaDiCaL version: 2.1.3
% 14.12/3.23 % (2491328)Termination reason: Refutation
% 14.12/3.23 % (2491328)Time elapsed: 1.291 s
% 14.12/3.23 % (2491328)Peak memory usage: 136 MB
% 14.12/3.23 % (2491328)Instructions burned: 1671 (million)
% 14.12/3.23 % (2491328)------------------------------
% 14.12/3.23 % (2491328)------------------------------
% 14.12/3.23 % (2491323)Success in time 1.88 s
% 14.12/3.23 % Vampire exiting
%------------------------------------------------------------------------------