%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL017+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 : n019.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 12:33:45 PM UTC 2026
% Result : Theorem 17.21s 3.37s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 30
% Syntax : Number of formulae : 216 ( 198 unt; 18 def)
% Number of atoms : 234 ( 213 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 14 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 164 ( 0 sgn 161 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))
& join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2)) = join(complement(composition(X0,X1)),composition(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))
& join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2)) = join(complement(composition(X0,X1)),composition(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2)) != join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))
| join(complement(composition(X0,X1)),composition(X0,X2)) != join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( join(join(join(complement(composition(sK0,sK1)),composition(sK0,sK2)),complement(composition(sK0,meet(sK1,complement(sK2))))),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2))
| join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(join(join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),complement(composition(sK0,sK1))),composition(sK0,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
( join(join(join(complement(composition(sK0,sK1)),composition(sK0,sK2)),complement(composition(sK0,meet(sK1,complement(sK2))))),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2))
| join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(join(join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),complement(composition(sK0,sK1))),composition(sK0,sK2)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
( join(join(join(complement(composition(sK0,sK1)),composition(sK0,sK2)),complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2))))))),composition(sK0,sK2)) != join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),composition(sK0,sK2))
| join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(join(join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),composition(sK0,sK2)),complement(composition(sK0,sK1))),composition(sK0,sK2)) ),
inference(definition_unfolding,[],[f31,f21,f21,f21]) ).
fof(f34,definition,
sF3 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
composition(sK0,sK1) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
composition(sK0,sK2) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = join(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
join(sF4,sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
complement(sK1) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
complement(sK2) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = join(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
join(sF7,sF9) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = composition(sK0,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
composition(sK0,sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = join(sF6,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
join(sF6,sF13) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = join(sF14,sF5),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
join(sF14,sF5) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF16 = join(sF13,sF5),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f61,plain,
join(sF13,sF5) = sF16,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF17 = join(sF16,sF4),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
join(sF16,sF4) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF18 = join(sF17,sF5),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f65,plain,
join(sF17,sF5) = sF18,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
( sF15 != sF16
| sF6 != sF18 ),
inference(definition_folding,[],[f33,f65,f39,f63,f37,f35,f61,f39,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f61,f39,f55,f53,f51,f49,f47,f45,f43,f59,f39,f57,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f68,definition,
( spl19_1
<=> sF6 = sF18 ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f70,plain,
( sF6 != sF18
| spl19_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl19_2
<=> sF15 = sF16 ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f74,plain,
( sF15 != sF16
| spl19_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f66,f72,f68]) ).
fof(f79,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f20,f20]) ).
fof(f99,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f101,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f131,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f133,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f136,plain,
sF6 = join(sF5,sF4),
inference(superposition,[],[f41,f18]) ).
fof(f137,plain,
sF14 = join(sF13,sF6),
inference(superposition,[],[f57,f18]) ).
fof(f138,plain,
sF16 = join(sF5,sF13),
inference(superposition,[],[f61,f18]) ).
fof(f140,plain,
sF17 = join(sF4,sF16),
inference(superposition,[],[f63,f18]) ).
fof(f153,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f161,plain,
! [X0] : join(sF16,join(sF4,X0)) = join(sF17,X0),
inference(superposition,[],[f19,f63]) ).
fof(f166,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f225,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f101,f27]) ).
fof(f235,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f225,f26]) ).
fof(f238,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f235,f26]) ).
fof(f240,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f238,f27]) ).
fof(f255,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f240]) ).
fof(f266,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f255,f25]) ).
fof(f281,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF3,composition(sK0,X0)),
inference(superposition,[],[f266,f35]) ).
fof(f287,plain,
! [X0] : composition(sK0,join(X0,sF11)) = join(composition(sK0,X0),sF12),
inference(superposition,[],[f266,f53]) ).
fof(f363,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f133,f18]) ).
fof(f376,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f99,f23]) ).
fof(f390,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f376,f25]) ).
fof(f411,plain,
one = converse(one),
inference(superposition,[],[f23,f390]) ).
fof(f525,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f390,f411]) ).
fof(f591,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f525]) ).
fof(f604,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f591,f390]) ).
fof(f783,plain,
! [X0] : join(sF14,X0) = join(sF13,join(sF6,X0)),
inference(superposition,[],[f19,f137]) ).
fof(f828,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f153,f604]) ).
fof(f854,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f828,f20]) ).
fof(f892,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f854,f854]) ).
fof(f895,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f854,f32]) ).
fof(f899,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f166,f854]) ).
fof(f946,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f895]) ).
fof(f1002,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f153,f892]) ).
fof(f1024,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f1002,f32]) ).
fof(f1030,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1024,f946]) ).
fof(f1035,plain,
! [X0] : join(sK1,X0) = join(complement(sF7),X0),
inference(superposition,[],[f1030,f43]) ).
fof(f1036,plain,
! [X0] : join(complement(sF8),X0) = join(sK2,X0),
inference(superposition,[],[f1030,f45]) ).
fof(f1038,plain,
! [X0] : join(sF8,X0) = join(complement(sF9),X0),
inference(superposition,[],[f1030,f47]) ).
fof(f1039,plain,
! [X0] : join(sF10,X0) = join(complement(sF11),X0),
inference(superposition,[],[f1030,f51]) ).
fof(f1057,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f854,f1030]) ).
fof(f1066,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f18,f1030]) ).
fof(f1073,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f895,f1030]) ).
fof(f1074,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1073,f895]) ).
fof(f1094,plain,
! [X0] : join(sF9,X0) = join(sK2,X0),
inference(forward_demodulation,[],[f1036,f47]) ).
fof(f1119,plain,
sK2 = join(sF9,zero),
inference(superposition,[],[f895,f1094]) ).
fof(f1120,plain,
sK2 = sF9,
inference(forward_demodulation,[],[f1119,f895]) ).
fof(f1136,plain,
sK1 = complement(sF7),
inference(superposition,[],[f1074,f43]) ).
fof(f1139,plain,
sF8 = complement(sF9),
inference(superposition,[],[f1074,f47]) ).
fof(f1140,plain,
sF10 = complement(sF11),
inference(superposition,[],[f1074,f51]) ).
fof(f1150,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f131,f1074]) ).
fof(f1157,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f604,f1074]) ).
fof(f1166,plain,
sF5 = composition(sK0,sF9),
inference(superposition,[],[f39,f1120]) ).
fof(f1187,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1057,f18]) ).
fof(f1216,plain,
complement(sF7) = join(complement(sF7),complement(sF10)),
inference(superposition,[],[f1057,f49]) ).
fof(f1256,plain,
complement(sF7) = join(sK1,complement(sF10)),
inference(forward_demodulation,[],[f1216,f1035]) ).
fof(f1275,plain,
complement(sF7) = join(sK1,sF11),
inference(forward_demodulation,[],[f1256,f51]) ).
fof(f1285,plain,
sK1 = join(sK1,sF11),
inference(forward_demodulation,[],[f1275,f1136]) ).
fof(f1317,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f1187,f1057]) ).
fof(f1334,plain,
complement(sF9) = join(complement(sF9),complement(sF10)),
inference(superposition,[],[f1187,f49]) ).
fof(f1374,plain,
complement(sF9) = join(sF8,complement(sF10)),
inference(forward_demodulation,[],[f1334,f1038]) ).
fof(f1379,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1317,f1066]) ).
fof(f1393,plain,
complement(sF9) = join(sF8,sF11),
inference(forward_demodulation,[],[f1374,f51]) ).
fof(f1398,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f1379,f1066]) ).
fof(f1408,plain,
sF8 = join(sF8,sF11),
inference(forward_demodulation,[],[f1393,f1139]) ).
fof(f1410,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1398,f19]) ).
fof(f1418,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1410,f1074]) ).
fof(f1432,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f1418,f131]) ).
fof(f1443,plain,
join(sF5,sF4) = join(sF5,sF6),
inference(superposition,[],[f1418,f41]) ).
fof(f1444,plain,
join(sF16,sF4) = join(sF16,sF17),
inference(superposition,[],[f1418,f140]) ).
fof(f1446,plain,
join(sF13,sF5) = join(sF13,sF16),
inference(superposition,[],[f1418,f138]) ).
fof(f1450,plain,
join(sF9,sF7) = join(sF9,sF10),
inference(superposition,[],[f1418,f49]) ).
fof(f1451,plain,
join(sF5,sF13) = join(sF5,sF16),
inference(superposition,[],[f1418,f61]) ).
fof(f1505,plain,
sF16 = join(sF5,sF16),
inference(forward_demodulation,[],[f1451,f138]) ).
fof(f1509,plain,
sF16 = join(sF13,sF16),
inference(forward_demodulation,[],[f1446,f61]) ).
fof(f1511,plain,
sF17 = join(sF16,sF17),
inference(forward_demodulation,[],[f1444,f63]) ).
fof(f1512,plain,
sF6 = join(sF5,sF6),
inference(forward_demodulation,[],[f1443,f136]) ).
fof(f1522,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(forward_demodulation,[],[f1432,f363]) ).
fof(f1569,plain,
join(sF16,sF13) = join(sF16,sF16),
inference(superposition,[],[f1418,f1509]) ).
fof(f1570,plain,
sF16 = join(sF16,sF13),
inference(forward_demodulation,[],[f1569,f1157]) ).
fof(f1601,plain,
sF17 = join(sF17,sF16),
inference(superposition,[],[f18,f1511]) ).
fof(f1669,plain,
composition(sK0,sK1) = join(sF3,composition(sK0,sF11)),
inference(superposition,[],[f281,f1285]) ).
fof(f1679,plain,
composition(sK0,sK1) = join(sF3,sF12),
inference(forward_demodulation,[],[f1669,f53]) ).
fof(f1681,plain,
sF3 = join(sF3,sF12),
inference(forward_demodulation,[],[f1679,f35]) ).
fof(f1687,plain,
complement(sF12) = join(complement(sF12),complement(sF3)),
inference(superposition,[],[f1187,f1681]) ).
fof(f1688,plain,
complement(sF12) = join(complement(sF12),sF4),
inference(forward_demodulation,[],[f1687,f37]) ).
fof(f1690,plain,
sF13 = join(sF13,sF4),
inference(forward_demodulation,[],[f1688,f55]) ).
fof(f1694,plain,
sF13 = join(sF4,sF13),
inference(superposition,[],[f18,f1690]) ).
fof(f1851,plain,
join(sF6,sF6) = join(sF6,sF5),
inference(superposition,[],[f1418,f1512]) ).
fof(f1852,plain,
sF6 = join(sF6,sF5),
inference(forward_demodulation,[],[f1851,f1157]) ).
fof(f1896,plain,
join(sF16,sF16) = join(sF16,sF5),
inference(superposition,[],[f1418,f1505]) ).
fof(f1897,plain,
sF16 = join(sF16,sF5),
inference(forward_demodulation,[],[f1896,f1157]) ).
fof(f2052,plain,
complement(sF11) = join(complement(sF11),complement(sF8)),
inference(superposition,[],[f1187,f1408]) ).
fof(f2053,plain,
complement(sF11) = join(sF10,complement(sF8)),
inference(forward_demodulation,[],[f2052,f1039]) ).
fof(f2055,plain,
complement(sF11) = join(sF10,sF9),
inference(forward_demodulation,[],[f2053,f47]) ).
fof(f2056,plain,
sF10 = join(sF10,sF9),
inference(forward_demodulation,[],[f2055,f1140]) ).
fof(f2213,plain,
join(sF16,sF13) = join(sF17,sF13),
inference(superposition,[],[f161,f1694]) ).
fof(f2257,plain,
sF16 = join(sF17,sF13),
inference(forward_demodulation,[],[f2213,f1570]) ).
fof(f2271,plain,
sF16 = join(sF13,sF17),
inference(superposition,[],[f18,f2257]) ).
fof(f2288,plain,
join(sF17,sF16) = join(sF17,sF13),
inference(superposition,[],[f1418,f2271]) ).
fof(f2289,plain,
sF16 = join(sF17,sF16),
inference(forward_demodulation,[],[f2288,f2257]) ).
fof(f2293,plain,
sF16 = sF17,
inference(forward_demodulation,[],[f2289,f1601]) ).
fof(f2303,plain,
sF17 = join(sF17,sF5),
inference(superposition,[],[f1897,f2293]) ).
fof(f2304,plain,
sF17 = sF18,
inference(forward_demodulation,[],[f2303,f65]) ).
fof(f2310,plain,
( sF6 != sF17
| spl19_1 ),
inference(superposition,[],[f70,f2304]) ).
fof(f2803,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(complement(join(complement(X0),X1)))) = join(complement(join(complement(X1),complement(X0))),complement(join(complement(join(complement(join(complement(X1),complement(X0))),complement(complement(join(complement(X0),X1))))),X0))),
inference(superposition,[],[f79,f131]) ).
fof(f2872,plain,
! [X0,X1] : join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))) = join(complement(join(complement(X1),complement(X0))),complement(join(complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0))))),X0))),
inference(forward_demodulation,[],[f2803,f1066]) ).
fof(f2902,plain,
! [X0,X1] : join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))) = join(complement(join(complement(X1),complement(X0))),complement(join(complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0)))))),X0))),
inference(forward_demodulation,[],[f2872,f19]) ).
fof(f2925,plain,
! [X0,X1] : join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(forward_demodulation,[],[f2902,f1522]) ).
fof(f2941,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(forward_demodulation,[],[f2925,f854]) ).
fof(f3179,plain,
join(sF14,sF5) = join(sF13,sF6),
inference(superposition,[],[f783,f1852]) ).
fof(f3228,plain,
sF14 = join(sF14,sF5),
inference(forward_demodulation,[],[f3179,f137]) ).
fof(f3238,plain,
sF14 = sF15,
inference(forward_demodulation,[],[f3228,f59]) ).
fof(f3726,plain,
sF10 = join(sF9,sF10),
inference(superposition,[],[f18,f2056]) ).
fof(f3737,plain,
sF10 = join(sF9,sF7),
inference(forward_demodulation,[],[f3726,f1450]) ).
fof(f4720,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(superposition,[],[f153,f1150]) ).
fof(f4726,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f20,f1150]) ).
fof(f4763,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f4726,f1030]) ).
fof(f4769,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f4720,f2941]) ).
fof(f4866,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f4763,f899]) ).
fof(f5059,plain,
join(complement(sF7),sF9) = join(sF9,complement(sF10)),
inference(superposition,[],[f4866,f3737]) ).
fof(f5205,plain,
join(sF9,sF11) = join(complement(sF7),sF9),
inference(forward_demodulation,[],[f5059,f51]) ).
fof(f5284,plain,
join(sF9,sF11) = join(sK1,sF9),
inference(forward_demodulation,[],[f5205,f1035]) ).
fof(f6406,plain,
composition(sK0,join(sF9,sF11)) = join(sF3,composition(sK0,sF9)),
inference(superposition,[],[f281,f5284]) ).
fof(f6433,plain,
join(sF3,sF5) = composition(sK0,join(sF9,sF11)),
inference(forward_demodulation,[],[f6406,f1166]) ).
fof(f6436,plain,
join(sF3,sF5) = join(composition(sK0,sF9),sF12),
inference(forward_demodulation,[],[f6433,f287]) ).
fof(f6438,plain,
join(sF3,sF5) = join(sF5,sF12),
inference(forward_demodulation,[],[f6436,f1166]) ).
fof(f6455,plain,
join(complement(sF3),sF5) = join(sF5,complement(join(sF5,sF12))),
inference(superposition,[],[f4769,f6438]) ).
fof(f6461,plain,
join(complement(sF3),sF5) = join(complement(sF12),sF5),
inference(forward_demodulation,[],[f6455,f4866]) ).
fof(f6466,plain,
join(sF13,sF5) = join(complement(sF3),sF5),
inference(forward_demodulation,[],[f6461,f55]) ).
fof(f6467,plain,
join(sF4,sF5) = join(sF13,sF5),
inference(forward_demodulation,[],[f6466,f37]) ).
fof(f6468,plain,
join(sF4,sF5) = sF16,
inference(forward_demodulation,[],[f6467,f61]) ).
fof(f6469,plain,
join(sF4,sF5) = sF17,
inference(forward_demodulation,[],[f6468,f2293]) ).
fof(f6470,plain,
sF6 = sF17,
inference(forward_demodulation,[],[f6469,f41]) ).
fof(f6471,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f6470,f2310]) ).
fof(f6472,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f6471]) ).
fof(f6474,plain,
( sF15 != sF17
| spl19_2 ),
inference(forward_demodulation,[],[f74,f2293]) ).
fof(f6475,plain,
( sF14 != sF17
| spl19_2 ),
inference(forward_demodulation,[],[f6474,f3238]) ).
fof(f6476,plain,
sF14 = join(sF17,sF13),
inference(superposition,[],[f57,f6470]) ).
fof(f6494,plain,
sF14 = sF16,
inference(forward_demodulation,[],[f6476,f2257]) ).
fof(f6498,plain,
sF14 = sF17,
inference(forward_demodulation,[],[f6494,f2293]) ).
fof(f6501,plain,
( $false
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f6498,f6475]) ).
fof(f6502,plain,
spl19_2,
inference(avatar_contradiction_clause,[],[f6501]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f75]) ).
cnf(s2,plain,
spl19_1,
inference(sat_conversion,[],[f6472]) ).
cnf(s4,plain,
spl19_2,
inference(sat_conversion,[],[f6502]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f6503,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL017+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 : n019.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 22:51:49 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.49 Running first-order theorem proving
% 0.25/0.49 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
% 15.96/3.08 % (3493201)Detected formulas, will run a generic FOF schedule.
% 15.96/3.08 % (3493214)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3190993981:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 15.96/3.08 % (3493214)Instruction limit reached!
% 15.96/3.08 % (3493214)------------------------------
% 15.96/3.08 % (3493214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.96/3.08 % (3493214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/3.08 % (3493214)CaDiCaL version: 2.1.3
% 15.96/3.08 % (3493214)Termination reason: Instruction limit
% 15.96/3.08 % (3493214)Termination phase: Saturation
% 15.96/3.08 % (3493214)Time elapsed: 0.034 s
% 15.96/3.08 % (3493214)Peak memory usage: 89 MB
% 15.96/3.08 % (3493214)Instructions burned: 123 (million)
% 15.96/3.08 % (3493215)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1999308870:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 15.96/3.08 % (3493212)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=879568972:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 15.96/3.08 % (3493213)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3721121980:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 15.96/3.08 % (3493211)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2893078936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 15.96/3.08 % (3493213)Refutation not found, incomplete strategy
% 15.96/3.08 % (3493213)------------------------------
% 15.96/3.08 % (3493213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.96/3.08 % (3493213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/3.08 % (3493213)CaDiCaL version: 2.1.3
% 15.96/3.08 % (3493213)Termination reason: Refutation not found, incomplete strategy
% 15.96/3.08 % (3493213)Time elapsed: 0.003 s
% 15.96/3.08 % (3493213)Peak memory usage: 88 MB
% 15.96/3.08 % (3493213)Instructions burned: 1 (million)
% 15.96/3.08 % (3493222)lrs+10_1_sil=8000:sp=occurrence:random_seed=1962950611:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 15.96/3.08 % (3493216)dis-21_1_sil=8000:lcm=predicate:random_seed=3847481723:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 15.96/3.08 % (3493210)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=2345992525:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 15.96/3.08 % (3493216)Refutation not found, incomplete strategy
% 15.96/3.08 % (3493216)------------------------------
% 15.96/3.08 % (3493216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.96/3.08 % (3493216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/3.08 % (3493216)CaDiCaL version: 2.1.3
% 15.96/3.08 % (3493216)Termination reason: Refutation not found, incomplete strategy
% 15.96/3.08 % (3493216)Time elapsed: 0.002 s
% 15.96/3.08 % (3493216)Peak memory usage: 88 MB
% 15.96/3.08 % (3493216)Instructions burned: 1 (million)
% 15.96/3.08 % (3493222)Instruction limit reached!
% 15.96/3.08 % (3493222)------------------------------
% 15.96/3.08 % (3493222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.96/3.08 % (3493222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/3.08 % (3493222)CaDiCaL version: 2.1.3
% 15.96/3.08 % (3493222)Termination reason: Instruction limit
% 15.96/3.08 % (3493222)Termination phase: Saturation
% 15.96/3.08 % (3493222)Time elapsed: 0.115 s
% 15.96/3.08 % (3493222)Peak memory usage: 91 MB
% 15.96/3.08 % (3493222)Instructions burned: 287 (million)
% 15.96/3.08 % (3493215)Instruction limit reached!
% 15.96/3.08 % (3493215)------------------------------
% 15.96/3.08 % (3493215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.96/3.08 % (3493215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/3.08 % (3493215)CaDiCaL version: 2.1.3
% 15.96/3.08 % (3493215)Termination reason: Instruction limit
% 15.96/3.08 % (3493215)Termination phase: Saturation
% 15.96/3.08 % (3493215)Time elapsed: 0.133 s
% 15.96/3.08 % (3493215)Peak memory usage: 90 MB
% 15.96/3.08 % (3493215)Instructions burned: 139 (million)
% 15.96/3.08 % (3493231)lrs+1011_1_sil=32000:sp=occurrence:random_seed=202450928:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 17.21/3.37 % (3493230)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1439733721:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.21/3.37 % (3493213)------------------------------
% 17.21/3.37 % (3493213)------------------------------
% 17.21/3.37 % (3493216)------------------------------
% 17.21/3.37 % (3493216)------------------------------
% 17.21/3.37 % (3493231)Instruction limit reached!
% 17.21/3.37 % (3493231)------------------------------
% 17.21/3.37 % (3493231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493231)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493231)Termination reason: Instruction limit
% 17.21/3.37 % (3493231)Termination phase: Saturation
% 17.21/3.37 % (3493231)Time elapsed: 0.169 s
% 17.21/3.37 % (3493231)Peak memory usage: 92 MB
% 17.21/3.37 % (3493231)Instructions burned: 326 (million)
% 17.21/3.37 % (3493230)Instruction limit reached!
% 17.21/3.37 % (3493230)------------------------------
% 17.21/3.37 % (3493230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493230)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493230)Termination reason: Instruction limit
% 17.21/3.37 % (3493230)Termination phase: Saturation
% 17.21/3.37 % (3493230)Time elapsed: 0.155 s
% 17.21/3.37 % (3493230)Peak memory usage: 90 MB
% 17.21/3.37 % (3493230)Instructions burned: 158 (million)
% 17.21/3.37 % (3493236)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=293432203:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.21/3.37 % (3493234)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=371951583:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 17.21/3.37 % (3493237)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=689834217:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 17.21/3.37 % (3493235)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3618392834:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.21/3.37 % (3493235)Refutation not found, incomplete strategy
% 17.21/3.37 % (3493235)------------------------------
% 17.21/3.37 % (3493235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493235)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493235)Termination reason: Refutation not found, incomplete strategy
% 17.21/3.37 % (3493235)Time elapsed: 0.004 s
% 17.21/3.37 % (3493235)Peak memory usage: 88 MB
% 17.21/3.37 % (3493235)Instructions burned: 2 (million)
% 17.21/3.37 % (3493237)Refutation not found, incomplete strategy
% 17.21/3.37 % (3493237)------------------------------
% 17.21/3.37 % (3493237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493237)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493237)Termination reason: Refutation not found, incomplete strategy
% 17.21/3.37 % (3493237)Time elapsed: 0.019 s
% 17.21/3.37 % (3493237)Peak memory usage: 88 MB
% 17.21/3.37 % (3493237)Instructions burned: 18 (million)
% 17.21/3.37 % (3493234)Instruction limit reached!
% 17.21/3.37 % (3493234)------------------------------
% 17.21/3.37 % (3493234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493234)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493234)Termination reason: Instruction limit
% 17.21/3.37 % (3493234)Termination phase: Saturation
% 17.21/3.37 % (3493234)Time elapsed: 0.253 s
% 17.21/3.37 % (3493234)Peak memory usage: 91 MB
% 17.21/3.37 % (3493234)Instructions burned: 248 (million)
% 17.21/3.37 % (3493212)Refutation not found, incomplete strategy
% 17.21/3.37 % (3493212)------------------------------
% 17.21/3.37 % (3493212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493212)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493212)Termination reason: Refutation not found, incomplete strategy
% 17.21/3.37 % (3493212)Time elapsed: 0.961 s
% 17.21/3.37 % (3493212)Peak memory usage: 128 MB
% 17.21/3.37 % (3493212)Instructions burned: 898 (million)
% 17.21/3.37 % (3493235)------------------------------
% 17.21/3.37 % (3493235)------------------------------
% 17.21/3.37 % (3493237)------------------------------
% 17.21/3.37 % (3493237)------------------------------
% 17.21/3.37 % (3493244)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3148431734:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 17.21/3.37 % (3493244)Refutation not found, incomplete strategy
% 17.21/3.37 % (3493244)------------------------------
% 17.21/3.37 % (3493244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493244)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493244)Termination reason: Refutation not found, incomplete strategy
% 17.21/3.37 % (3493244)Time elapsed: 0.002 s
% 17.21/3.37 % (3493244)Peak memory usage: 88 MB
% 17.21/3.37 % (3493244)Instructions burned: 1 (million)
% 17.21/3.37 % (3493245)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1116657510:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 17.21/3.37 % (3493245)Instruction limit reached!
% 17.21/3.37 % (3493245)------------------------------
% 17.21/3.37 % (3493245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493245)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493245)Termination reason: Instruction limit
% 17.21/3.37 % (3493245)Termination phase: Saturation
% 17.21/3.37 % (3493245)Time elapsed: 0.039 s
% 17.21/3.37 % (3493245)Peak memory usage: 89 MB
% 17.21/3.37 % (3493245)Instructions burned: 114 (million)
% 17.21/3.37 % (3493246)lrs+10_1_sil=8000:sp=occurrence:random_seed=3397889963:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 17.21/3.37 % (3493212)------------------------------
% 17.21/3.37 % (3493212)------------------------------
% 17.21/3.37 % (3493249)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1242225189:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 17.21/3.37 % (3493249)Refutation not found, incomplete strategy
% 17.21/3.37 % (3493249)------------------------------
% 17.21/3.37 % (3493249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493249)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493249)Termination reason: Refutation not found, incomplete strategy
% 17.21/3.37 % (3493249)Time elapsed: 0.001 s
% 17.21/3.37 % (3493249)Peak memory usage: 89 MB
% 17.21/3.37 % (3493249)Instructions burned: 1 (million)
% 17.21/3.37 % (3493244)------------------------------
% 17.21/3.37 % (3493244)------------------------------
% 17.21/3.37 % (3493252)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=46971484:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 17.21/3.37 % (3493249)------------------------------
% 17.21/3.37 % (3493249)------------------------------
% 17.21/3.37 % (3493255)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=14659031:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 17.21/3.37 % (3493253)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3725102435:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 17.21/3.37 % (3493253)Refutation not found, incomplete strategy
% 17.21/3.37 % (3493253)------------------------------
% 17.21/3.37 % (3493253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493253)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493253)Termination reason: Refutation not found, incomplete strategy
% 17.21/3.37 % (3493253)Time elapsed: 0.003 s
% 17.21/3.37 % (3493253)Peak memory usage: 89 MB
% 17.21/3.37 % (3493253)Instructions burned: 1 (million)
% 17.21/3.37 % (3493210)First to succeed.
% 17.21/3.37 % (3493210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3493201"
% 17.21/3.37 % (3493255)Instruction limit reached!
% 17.21/3.37 % (3493255)------------------------------
% 17.21/3.37 % (3493255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493255)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493255)Termination reason: Instruction limit
% 17.21/3.37 % (3493255)Termination phase: Saturation
% 17.21/3.37 % (3493255)Time elapsed: 0.291 s
% 17.21/3.37 % (3493255)Peak memory usage: 95 MB
% 17.21/3.37 % (3493255)Instructions burned: 594 (million)
% 17.21/3.37 % (3493246)Instruction limit reached!
% 17.21/3.37 % (3493246)------------------------------
% 17.21/3.37 % (3493246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.21/3.37 % (3493246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.21/3.37 % (3493246)CaDiCaL version: 2.1.3
% 17.21/3.37 % (3493246)Termination reason: Instruction limit
% 17.21/3.37 % (3493246)Termination phase: Saturation
% 17.21/3.37 % (3493246)Time elapsed: 0.785 s
% 17.21/3.37 % (3493246)Peak memory usage: 96 MB
% 17.21/3.37 % (3493246)Instructions burned: 908 (million)
% 17.21/3.37 % (3493253)------------------------------
% 17.21/3.37 % (3493253)------------------------------
% 17.21/3.37 % (3493261)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2801053089:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 17.21/3.37 % (3493260)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=955336074:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 17.21/3.37 % (3493262)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2663075432:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 17.21/3.37 % (3493210)Refutation found. Thanks to Tanya!
% 17.21/3.37 % SZS status Theorem for theBenchmark
% 17.21/3.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/3.61 % (3493210)------------------------------
% 0.26/3.61 % (3493210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/3.61 % (3493210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/3.61 % (3493210)CaDiCaL version: 2.1.3
% 0.26/3.61 % (3493210)Termination reason: Refutation
% 0.26/3.61 % (3493210)Time elapsed: 1.848 s
% 0.26/3.61 % (3493210)Peak memory usage: 137 MB
% 0.26/3.61 % (3493210)Instructions burned: 1690 (million)
% 0.26/3.61 % (3493210)------------------------------
% 0.26/3.61 % (3493210)------------------------------
% 0.26/3.61 % (3493201)Success in time 2.503 s
% 0.26/3.61 % Vampire exiting
%------------------------------------------------------------------------------