%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL017-4 : 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 : n012.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 12:33:46 PM UTC 2026
% Result : Unsatisfiable 10.55s 2.30s
% Output : Refutation 11.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 30
% Syntax : Number of formulae : 186 ( 171 unt; 18 def)
% Number of atoms : 201 ( 180 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 13 |; 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 : 26 ( 26 usr; 21 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 118 !; 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(f23,negated_conjecture,
( join(join(join(complement(composition(sk1,sk2)),composition(sk1,sk3)),complement(composition(sk1,meet(sk2,complement(sk3))))),composition(sk1,sk3)) != join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3))
| join(join(join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3)),complement(composition(sk1,sk2))),composition(sk1,sk3)) != join(complement(composition(sk1,sk2)),composition(sk1,sk3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
( join(join(join(complement(composition(sk1,sk2)),composition(sk1,sk3)),complement(composition(sk1,meet(sk2,complement(sk3))))),composition(sk1,sk3)) != join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3))
| join(complement(composition(sk1,sk2)),composition(sk1,sk3)) != join(join(join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3)),complement(composition(sk1,sk2))),composition(sk1,sk3)) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f29,plain,
( join(join(join(complement(composition(sk1,sk2)),composition(sk1,sk3)),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))))),composition(sk1,sk3)) != join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),composition(sk1,sk3))
| join(complement(composition(sk1,sk2)),composition(sk1,sk3)) != join(join(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),composition(sk1,sk3)),complement(composition(sk1,sk2))),composition(sk1,sk3)) ),
inference(definition_unfolding,[],[f24,f6,f6,f6]) ).
fof(f30,definition,
sF0 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f31,plain,
composition(sk1,sk2) = sF0,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f33,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF2 = composition(sk1,sk3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f35,plain,
composition(sk1,sk3) = sF2,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f37,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF4 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f39,plain,
complement(sk2) = sF4,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF5 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f41,plain,
complement(sk3) = sF5,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f43,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF7 = join(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f45,plain,
join(sF4,sF6) = sF7,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f47,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF9 = composition(sk1,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f49,plain,
composition(sk1,sF8) = sF9,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f51,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF11 = join(sF3,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f53,plain,
join(sF3,sF10) = sF11,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF12 = join(sF11,sF2),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f55,plain,
join(sF11,sF2) = sF12,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF13 = join(sF10,sF2),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f57,plain,
join(sF10,sF2) = sF13,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF14 = join(sF13,sF1),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f59,plain,
join(sF13,sF1) = sF14,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF15 = join(sF14,sF2),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f61,plain,
join(sF14,sF2) = sF15,
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
( sF12 != sF13
| sF3 != sF15 ),
inference(definition_folding,[],[f29,f61,f35,f59,f33,f31,f57,f35,f51,f49,f47,f45,f43,f41,f39,f37,f35,f33,f31,f57,f35,f51,f49,f47,f45,f43,f41,f39,f55,f35,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f33,f31]) ).
fof(f64,definition,
( spl16_1
<=> sF3 = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f66,plain,
( sF3 != sF15
| spl16_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl16_2
<=> sF12 = sF13 ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f70,plain,
( sF12 != sF13
| spl16_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f62,f68,f64]) ).
fof(f123,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f128,plain,
sF3 = join(sF2,sF1),
inference(superposition,[],[f37,f1]) ).
fof(f130,plain,
sF13 = join(sF2,sF10),
inference(superposition,[],[f57,f1]) ).
fof(f132,plain,
sF14 = join(sF1,sF13),
inference(superposition,[],[f59,f1]) ).
fof(f143,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f145,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(f171,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f145,f12]) ).
fof(f180,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f171,f11]) ).
fof(f183,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f180,f11]) ).
fof(f185,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f183,f12]) ).
fof(f198,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f185]) ).
fof(f209,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f198,f10]) ).
fof(f224,plain,
! [X0] : composition(sk1,join(sk2,X0)) = join(sF0,composition(sk1,X0)),
inference(superposition,[],[f209,f31]) ).
fof(f228,plain,
! [X0] : composition(sk1,join(X0,sk2)) = join(composition(sk1,X0),sF0),
inference(superposition,[],[f209,f31]) ).
fof(f229,plain,
! [X0] : composition(sk1,join(X0,sF8)) = join(composition(sk1,X0),sF9),
inference(superposition,[],[f209,f49]) ).
fof(f248,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f25]) ).
fof(f353,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(f361,plain,
! [X0] : join(sF1,join(sF2,X0)) = join(sF3,X0),
inference(superposition,[],[f2,f37]) ).
fof(f362,plain,
! [X0] : join(sF3,join(sF10,X0)) = join(sF11,X0),
inference(superposition,[],[f2,f53]) ).
fof(f366,plain,
! [X0] : join(sF13,join(sF1,X0)) = join(sF14,X0),
inference(superposition,[],[f2,f59]) ).
fof(f371,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f683,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f143,f8]) ).
fof(f697,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f683,f10]) ).
fof(f719,plain,
one = converse(one),
inference(superposition,[],[f8,f697]) ).
fof(f734,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f697,f719]) ).
fof(f750,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f14,f734]) ).
fof(f763,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f750,f697]) ).
fof(f768,plain,
sF4 = join(sF4,sF4),
inference(superposition,[],[f763,f39]) ).
fof(f769,plain,
sF5 = join(sF5,sF5),
inference(superposition,[],[f763,f41]) ).
fof(f783,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f353,f763]) ).
fof(f790,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f783,f4]) ).
fof(f815,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f790,f25]) ).
fof(f864,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f815]) ).
fof(f955,plain,
sk2 = join(zero,complement(join(sF4,sF4))),
inference(superposition,[],[f248,f39]) ).
fof(f956,plain,
sk3 = join(zero,complement(join(sF5,sF5))),
inference(superposition,[],[f248,f41]) ).
fof(f964,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X0),complement(X0))),join(X1,zero)),
inference(superposition,[],[f371,f248]) ).
fof(f966,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X0),complement(X0))),X1),
inference(forward_demodulation,[],[f964,f815]) ).
fof(f973,plain,
sk3 = complement(join(sF5,sF5)),
inference(forward_demodulation,[],[f956,f864]) ).
fof(f974,plain,
sk2 = complement(join(sF4,sF4)),
inference(forward_demodulation,[],[f955,f864]) ).
fof(f976,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f966,f763]) ).
fof(f981,plain,
sk3 = complement(sF5),
inference(forward_demodulation,[],[f973,f769]) ).
fof(f982,plain,
sk2 = complement(sF4),
inference(forward_demodulation,[],[f974,f768]) ).
fof(f984,plain,
sk3 = sF6,
inference(forward_demodulation,[],[f981,f43]) ).
fof(f987,plain,
sF2 = composition(sk1,sF6),
inference(superposition,[],[f35,f984]) ).
fof(f1051,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),X0),
inference(superposition,[],[f763,f976]) ).
fof(f1052,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f790,f976]) ).
fof(f1067,plain,
! [X0] : complement(complement(X0)) = join(zero,X0),
inference(superposition,[],[f815,f976]) ).
fof(f1068,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1067,f864]) ).
fof(f1080,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(forward_demodulation,[],[f1051,f976]) ).
fof(f1104,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1080,f1068]) ).
fof(f1128,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f123,f1068]) ).
fof(f1138,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f790,f1068]) ).
fof(f1169,plain,
! [X0,X1] : complement(complement(complement(X1))) = join(complement(complement(complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f1138,f976]) ).
fof(f1184,plain,
complement(sF4) = join(complement(sF4),complement(sF7)),
inference(superposition,[],[f1138,f45]) ).
fof(f1224,plain,
complement(sF4) = join(complement(sF4),sF8),
inference(forward_demodulation,[],[f1184,f47]) ).
fof(f1230,plain,
! [X0,X1] : complement(complement(complement(X1))) = join(complement(join(X0,X1)),complement(X1)),
inference(forward_demodulation,[],[f1169,f976]) ).
fof(f1243,plain,
sk2 = join(sk2,sF8),
inference(forward_demodulation,[],[f1224,f982]) ).
fof(f1244,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(X1)),
inference(forward_demodulation,[],[f1230,f1068]) ).
fof(f1275,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f1052,f1138]) ).
fof(f1338,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f1275,f976]) ).
fof(f1354,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f1338,f976]) ).
fof(f1364,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1354,f2]) ).
fof(f1367,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1364,f1068]) ).
fof(f1390,plain,
join(sF13,sF1) = join(sF13,sF14),
inference(superposition,[],[f1367,f132]) ).
fof(f1392,plain,
join(sF10,sF2) = join(sF10,sF13),
inference(superposition,[],[f1367,f130]) ).
fof(f1397,plain,
join(sF2,sF10) = join(sF2,sF13),
inference(superposition,[],[f1367,f57]) ).
fof(f1443,plain,
sF13 = join(sF2,sF13),
inference(forward_demodulation,[],[f1397,f130]) ).
fof(f1447,plain,
sF13 = join(sF10,sF13),
inference(forward_demodulation,[],[f1392,f57]) ).
fof(f1449,plain,
sF14 = join(sF13,sF14),
inference(forward_demodulation,[],[f1390,f59]) ).
fof(f1507,plain,
join(sF13,sF10) = join(sF13,sF13),
inference(superposition,[],[f1367,f1447]) ).
fof(f1508,plain,
sF13 = join(sF13,sF10),
inference(forward_demodulation,[],[f1507,f1104]) ).
fof(f1526,plain,
sF14 = join(sF14,sF13),
inference(superposition,[],[f1,f1449]) ).
fof(f1706,plain,
join(sF13,sF13) = join(sF13,sF2),
inference(superposition,[],[f1367,f1443]) ).
fof(f1707,plain,
sF13 = join(sF13,sF2),
inference(forward_demodulation,[],[f1706,f1104]) ).
fof(f1813,plain,
composition(sk1,sk2) = join(sF0,composition(sk1,sF8)),
inference(superposition,[],[f224,f1243]) ).
fof(f1823,plain,
composition(sk1,sk2) = join(sF0,sF9),
inference(forward_demodulation,[],[f1813,f49]) ).
fof(f1825,plain,
sF0 = join(sF0,sF9),
inference(forward_demodulation,[],[f1823,f31]) ).
fof(f1829,plain,
complement(sF9) = join(complement(sF9),complement(sF0)),
inference(superposition,[],[f1052,f1825]) ).
fof(f1831,plain,
complement(sF9) = join(complement(sF9),sF1),
inference(forward_demodulation,[],[f1829,f33]) ).
fof(f1833,plain,
sF10 = join(sF10,sF1),
inference(forward_demodulation,[],[f1831,f51]) ).
fof(f1837,plain,
sF10 = join(sF1,sF10),
inference(superposition,[],[f1,f1833]) ).
fof(f2511,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(superposition,[],[f353,f1244]) ).
fof(f2824,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(superposition,[],[f353,f1128]) ).
fof(f2861,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2824,f2511]) ).
fof(f2984,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f2861,f1]) ).
fof(f3024,plain,
join(sF6,complement(sF4)) = join(sF6,complement(sF7)),
inference(superposition,[],[f2861,f45]) ).
fof(f3108,plain,
join(sF6,sF8) = join(sF6,complement(sF4)),
inference(forward_demodulation,[],[f3024,f47]) ).
fof(f3159,plain,
join(sF6,sF8) = join(sF6,sk2),
inference(forward_demodulation,[],[f3108,f982]) ).
fof(f4049,plain,
join(sF11,sF2) = join(sF3,sF13),
inference(superposition,[],[f362,f57]) ).
fof(f4052,plain,
join(sF3,sF13) = join(sF11,sF13),
inference(superposition,[],[f362,f1447]) ).
fof(f4103,plain,
join(sF11,sF2) = join(sF11,sF13),
inference(forward_demodulation,[],[f4049,f4052]) ).
fof(f4113,plain,
sF12 = join(sF11,sF13),
inference(forward_demodulation,[],[f4103,f55]) ).
fof(f4183,plain,
join(sF13,sF10) = join(sF14,sF10),
inference(superposition,[],[f366,f1837]) ).
fof(f4237,plain,
sF13 = join(sF14,sF10),
inference(forward_demodulation,[],[f4183,f1508]) ).
fof(f4265,plain,
sF13 = join(sF10,sF14),
inference(superposition,[],[f1,f4237]) ).
fof(f4294,plain,
join(sF14,sF13) = join(sF14,sF10),
inference(superposition,[],[f1367,f4265]) ).
fof(f4297,plain,
sF13 = join(sF14,sF13),
inference(forward_demodulation,[],[f4294,f4237]) ).
fof(f4306,plain,
sF13 = sF14,
inference(forward_demodulation,[],[f4297,f1526]) ).
fof(f4320,plain,
sF14 = join(sF14,sF2),
inference(superposition,[],[f1707,f4306]) ).
fof(f4322,plain,
sF14 = sF15,
inference(forward_demodulation,[],[f4320,f61]) ).
fof(f4329,plain,
( sF3 != sF14
| spl16_1 ),
inference(superposition,[],[f66,f4322]) ).
fof(f8078,plain,
join(sF3,sF10) = join(sF1,sF13),
inference(superposition,[],[f361,f130]) ).
fof(f8081,plain,
join(sF1,sF13) = join(sF3,sF13),
inference(superposition,[],[f361,f1443]) ).
fof(f8155,plain,
join(sF1,sF13) = join(sF11,sF13),
inference(forward_demodulation,[],[f8081,f4052]) ).
fof(f8157,plain,
join(sF3,sF10) = sF14,
inference(forward_demodulation,[],[f8078,f132]) ).
fof(f8170,plain,
sF12 = join(sF1,sF13),
inference(forward_demodulation,[],[f8155,f4113]) ).
fof(f8171,plain,
sF11 = sF14,
inference(forward_demodulation,[],[f8157,f53]) ).
fof(f8175,plain,
sF12 = sF14,
inference(forward_demodulation,[],[f8170,f132]) ).
fof(f8179,plain,
sF11 = sF12,
inference(forward_demodulation,[],[f8175,f8171]) ).
fof(f9555,plain,
join(composition(sk1,sF6),sF0) = composition(sk1,join(sF6,sF8)),
inference(superposition,[],[f228,f3159]) ).
fof(f9602,plain,
join(composition(sk1,sF6),sF0) = join(composition(sk1,sF6),sF9),
inference(forward_demodulation,[],[f9555,f229]) ).
fof(f9617,plain,
join(sF2,sF9) = join(sF2,sF0),
inference(forward_demodulation,[],[f9602,f987]) ).
fof(f9642,plain,
join(sF2,complement(sF9)) = join(sF2,complement(join(sF2,sF0))),
inference(superposition,[],[f2984,f9617]) ).
fof(f9643,plain,
join(sF2,complement(sF9)) = join(sF2,complement(sF0)),
inference(forward_demodulation,[],[f9642,f2984]) ).
fof(f9653,plain,
join(sF2,sF1) = join(sF2,complement(sF9)),
inference(forward_demodulation,[],[f9643,f33]) ).
fof(f9658,plain,
join(sF2,sF1) = join(sF2,sF10),
inference(forward_demodulation,[],[f9653,f51]) ).
fof(f9662,plain,
sF13 = join(sF2,sF1),
inference(forward_demodulation,[],[f9658,f130]) ).
fof(f9665,plain,
sF3 = sF13,
inference(forward_demodulation,[],[f9662,f128]) ).
fof(f9666,plain,
sF3 = sF14,
inference(forward_demodulation,[],[f9665,f4306]) ).
fof(f9667,plain,
( $false
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f9666,f4329]) ).
fof(f9668,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f9667]) ).
fof(f9670,plain,
( sF12 != sF14
| spl16_2 ),
inference(forward_demodulation,[],[f70,f4306]) ).
fof(f9673,plain,
( sF11 != sF12
| spl16_2 ),
inference(forward_demodulation,[],[f9670,f8171]) ).
fof(f9674,plain,
( $false
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f9673,f8179]) ).
fof(f9675,plain,
spl16_2,
inference(avatar_contradiction_clause,[],[f9674]) ).
cnf(s1,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
spl16_1,
inference(sat_conversion,[],[f9668]) ).
cnf(s3,plain,
spl16_2,
inference(sat_conversion,[],[f9675]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f9676,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL017-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 22:51:49 UTC 2026
% 0.11/0.34 % CPUTime :
% 0.11/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 Running first-order theorem proving
% 0.11/0.37 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
% 10.55/2.30 % (2841714)Input is clausal, will run a generic CNF schedule.
% 10.55/2.30 % (2841724)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3170871594:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.55/2.30 % (2841720)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1651707644:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.55/2.30 % (2841719)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=4065015004:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.55/2.30 % (2841725)dis-21_1_sil=8000:lcm=predicate:random_seed=1102350960: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)
% 10.55/2.30 % (2841722)lrs+10_1_sil=8000:sp=occurrence:random_seed=4004562882:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.55/2.30 % (2841723)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3965409044:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.55/2.30 % (2841721)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1673928446:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.55/2.30 % (2841725)Refutation not found, incomplete strategy
% 10.55/2.30 % (2841725)------------------------------
% 10.55/2.30 % (2841725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841725)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841725)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.30 % (2841725)Time elapsed: 0.001 s
% 10.55/2.30 % (2841725)Peak memory usage: 88 MB
% 10.55/2.30 % (2841725)Instructions burned: 1 (million)
% 10.55/2.30 % (2841722)Instruction limit reached!
% 10.55/2.30 % (2841722)------------------------------
% 10.55/2.30 % (2841722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841722)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841722)Termination reason: Instruction limit
% 10.55/2.30 % (2841722)Termination phase: Saturation
% 10.55/2.30 % (2841722)Time elapsed: 0.057 s
% 10.55/2.30 % (2841722)Peak memory usage: 89 MB
% 10.55/2.30 % (2841722)Instructions burned: 108 (million)
% 10.55/2.30 % (2841723)Instruction limit reached!
% 10.55/2.30 % (2841723)------------------------------
% 10.55/2.30 % (2841723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841723)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841723)Termination reason: Instruction limit
% 10.55/2.30 % (2841723)Termination phase: Saturation
% 10.55/2.30 % (2841723)Time elapsed: 0.060 s
% 10.55/2.30 % (2841723)Peak memory usage: 89 MB
% 10.55/2.30 % (2841723)Instructions burned: 115 (million)
% 10.55/2.30 % (2841724)Instruction limit reached!
% 10.55/2.30 % (2841724)------------------------------
% 10.55/2.30 % (2841724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841724)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841724)Termination reason: Instruction limit
% 10.55/2.30 % (2841724)Termination phase: Saturation
% 10.55/2.30 % (2841724)Time elapsed: 0.061 s
% 10.55/2.30 % (2841724)Peak memory usage: 90 MB
% 10.55/2.30 % (2841724)Instructions burned: 181 (million)
% 10.55/2.30 % (2841725)------------------------------
% 10.55/2.30 % (2841725)------------------------------
% 10.55/2.30 % (2841733)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=1098925520:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.55/2.30 % (2841733)Refutation not found, incomplete strategy
% 10.55/2.30 % (2841733)------------------------------
% 10.55/2.30 % (2841733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841733)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841733)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.30 % (2841733)Time elapsed: 0.002 s
% 10.55/2.30 % (2841733)Peak memory usage: 88 MB
% 10.55/2.30 % (2841733)Instructions burned: 2 (million)
% 10.55/2.30 % (2841735)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=251393374:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.55/2.30 % (2841734)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=668417041:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.55/2.30 % (2841735)Refutation not found, incomplete strategy
% 10.55/2.30 % (2841735)------------------------------
% 10.55/2.30 % (2841735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841735)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841735)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.30 % (2841735)Time elapsed: 0.002 s
% 10.55/2.30 % (2841735)Peak memory usage: 88 MB
% 10.55/2.30 % (2841735)Instructions burned: 2 (million)
% 10.55/2.30 % (2841734)Refutation not found, incomplete strategy
% 10.55/2.30 % (2841734)------------------------------
% 10.55/2.30 % (2841734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841734)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841734)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.30 % (2841734)Time elapsed: 0.002 s
% 10.55/2.30 % (2841734)Peak memory usage: 88 MB
% 10.55/2.30 % (2841734)Instructions burned: 3 (million)
% 10.55/2.30 % (2841733)------------------------------
% 10.55/2.30 % (2841733)------------------------------
% 10.55/2.30 % (2841737)lrs+10_64_to=lpo:sil=8000:random_seed=1088520685:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.55/2.30 % (2841734)------------------------------
% 10.55/2.30 % (2841734)------------------------------
% 10.55/2.30 % (2841735)------------------------------
% 10.55/2.30 % (2841735)------------------------------
% 10.55/2.30 % (2841737)Instruction limit reached!
% 10.55/2.30 % (2841737)------------------------------
% 10.55/2.30 % (2841737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841737)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841737)Termination reason: Instruction limit
% 10.55/2.30 % (2841737)Termination phase: Saturation
% 10.55/2.30 % (2841737)Time elapsed: 0.069 s
% 10.55/2.30 % (2841737)Peak memory usage: 89 MB
% 10.55/2.30 % (2841737)Instructions burned: 126 (million)
% 10.55/2.30 % (2841741)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1889899221:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 10.55/2.30 % (2841743)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1125067059:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 10.55/2.30 % (2841742)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2285360125:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 10.55/2.30 % (2841744)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=856409284:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.55/2.30 % (2841741)Instruction limit reached!
% 10.55/2.30 % (2841741)------------------------------
% 10.55/2.30 % (2841741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841741)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841741)Termination reason: Instruction limit
% 10.55/2.30 % (2841741)Termination phase: Saturation
% 10.55/2.30 % (2841741)Time elapsed: 0.111 s
% 10.55/2.30 % (2841741)Peak memory usage: 90 MB
% 10.55/2.30 % (2841741)Instructions burned: 194 (million)
% 10.55/2.30 % (2841742)Instruction limit reached!
% 10.55/2.30 % (2841742)------------------------------
% 10.55/2.30 % (2841742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841742)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841742)Termination reason: Instruction limit
% 10.55/2.30 % (2841742)Termination phase: Saturation
% 10.55/2.30 % (2841742)Time elapsed: 0.090 s
% 10.55/2.30 % (2841742)Peak memory usage: 91 MB
% 10.55/2.30 % (2841742)Instructions burned: 158 (million)
% 10.55/2.30 % (2841744)Instruction limit reached!
% 10.55/2.30 % (2841744)------------------------------
% 10.55/2.30 % (2841744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841744)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841744)Termination reason: Instruction limit
% 10.55/2.30 % (2841744)Termination phase: Saturation
% 10.55/2.30 % (2841744)Time elapsed: 0.058 s
% 10.55/2.30 % (2841744)Peak memory usage: 89 MB
% 10.55/2.30 % (2841744)Instructions burned: 107 (million)
% 10.55/2.30 % (2841751)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2081897538:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 10.55/2.30 % (2841749)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1505623142:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 10.55/2.30 % (2841749)Refutation not found, incomplete strategy
% 10.55/2.30 % (2841749)------------------------------
% 10.55/2.30 % (2841749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841749)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841749)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.30 % (2841749)Time elapsed: 0.002 s
% 10.55/2.30 % (2841749)Peak memory usage: 88 MB
% 10.55/2.30 % (2841749)Instructions burned: 2 (million)
% 10.55/2.30 % (2841750)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3646802668:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 10.55/2.30 % (2841719)First to succeed.
% 10.55/2.30 % (2841719)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2841714"
% 10.55/2.30 % (2841750)Instruction limit reached!
% 10.55/2.30 % (2841750)------------------------------
% 10.55/2.30 % (2841750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.30 % (2841750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.30 % (2841750)CaDiCaL version: 2.1.3
% 10.55/2.30 % (2841750)Termination reason: Instruction limit
% 10.55/2.30 % (2841750)Termination phase: Saturation
% 10.55/2.30 % (2841750)Time elapsed: 0.127 s
% 10.55/2.30 % (2841750)Peak memory usage: 90 MB
% 10.55/2.30 % (2841750)Instructions burned: 243 (million)
% 10.55/2.30 % (2841749)------------------------------
% 10.55/2.30 % (2841749)------------------------------
% 10.55/2.30 % (2841756)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2282943256:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 10.55/2.30 % (2841755)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2046067943:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 10.55/2.30 % (2841719)Refutation found. Thanks to Tanya!
% 10.55/2.30 % SZS status Unsatisfiable for theBenchmark
% 10.55/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 11.57/2.42 % (2841719)------------------------------
% 11.57/2.42 % (2841719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.42 % (2841719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.42 % (2841719)CaDiCaL version: 2.1.3
% 11.57/2.42 % (2841719)Termination reason: Refutation
% 11.57/2.42 % (2841719)Time elapsed: 1.171 s
% 11.57/2.42 % (2841719)Peak memory usage: 139 MB
% 11.57/2.42 % (2841719)Instructions burned: 2023 (million)
% 11.57/2.42 % (2841719)------------------------------
% 11.57/2.42 % (2841719)------------------------------
% 11.57/2.42 % (2841714)Success in time 1.594 s
% 11.57/2.42 % Vampire exiting
%------------------------------------------------------------------------------