%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL010+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:41 PM UTC 2026
% Result : Theorem 10.74s 13.40s
% Output : Refutation 17.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 24
% Syntax : Number of formulae : 178 ( 174 unt; 11 def)
% Number of atoms : 182 ( 181 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 194 ( 191 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( meet(composition(X0,X1),X2) = zero
=> meet(X1,composition(converse(X0),X2)) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(composition(X0,X1),X2) = zero
=> meet(X1,composition(converse(X0),X2)) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( zero != meet(X1,composition(converse(X0),X2))
& meet(composition(X0,X1),X2) = zero ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( zero != meet(sK1,composition(converse(sK0),sK2))
& zero = meet(composition(sK0,sK1),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(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
zero = meet(composition(sK0,sK1),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
zero != meet(sK1,composition(converse(sK0),sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
zero != complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),
inference(definition_unfolding,[],[f32,f21]) ).
fof(f35,plain,
zero = complement(join(complement(composition(sK0,sK1)),complement(sK2))),
inference(definition_unfolding,[],[f31,f21]) ).
fof(f36,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f37,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f39,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF5 = composition(sF4,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f41,plain,
composition(sF4,sK2) = 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(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f45,plain,
join(sF3,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,plain,
zero != sF8,
inference(definition_folding,[],[f34,f47,f45,f43,f41,f39,f37]) ).
fof(f49,definition,
sF9 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f50,plain,
composition(sK0,sK1) = sF9,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f52,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF11 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f54,plain,
complement(sK2) = sF11,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF12 = join(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f56,plain,
join(sF10,sF11) = sF12,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f58,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
zero = sF13,
inference(definition_folding,[],[f35,f58,f56,f54,f52,f50]) ).
fof(f60,plain,
zero = complement(sF12),
inference(forward_demodulation,[],[f58,f59]) ).
fof(f86,plain,
complement(sK1) = join(composition(converse(sK0),complement(sF9)),complement(sK1)),
inference(superposition,[],[f28,f50]) ).
fof(f97,plain,
sF3 = join(composition(converse(sK0),complement(sF9)),sF3),
inference(forward_demodulation,[],[f86,f37]) ).
fof(f99,plain,
sF3 = join(composition(converse(sK0),sF10),sF3),
inference(forward_demodulation,[],[f97,f52]) ).
fof(f101,plain,
sF3 = join(composition(sF4,sF10),sF3),
inference(forward_demodulation,[],[f99,f39]) ).
fof(f104,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f108,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(f119,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,complement(X1))),complement(join(zero,X1))),
inference(superposition,[],[f20,f33]) ).
fof(f125,plain,
! [X0] : sF12 = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f20,f60]) ).
fof(f128,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = sF12,
inference(forward_demodulation,[],[f119,f125]) ).
fof(f130,plain,
top = sF12,
inference(forward_demodulation,[],[f128,f29]) ).
fof(f145,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f146,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f147,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f239,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f104,f23]) ).
fof(f249,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f239,f25]) ).
fof(f263,plain,
one = converse(one),
inference(superposition,[],[f23,f249]) ).
fof(f267,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f249,f263]) ).
fof(f278,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f267]) ).
fof(f281,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f278,f249]) ).
fof(f298,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f300,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(f305,plain,
! [X0] : join(sF3,X0) = join(composition(sF4,sF10),join(sF3,X0)),
inference(superposition,[],[f19,f101]) ).
fof(f307,plain,
! [X0] : join(sF3,join(sF6,X0)) = join(sF7,X0),
inference(superposition,[],[f19,f45]) ).
fof(f318,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(sF12,X1),
inference(forward_demodulation,[],[f298,f130]) ).
fof(f334,plain,
! [X0,X1] : join(sF12,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f318,f18]) ).
fof(f386,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f300,f281]) ).
fof(f399,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f386,f20]) ).
fof(f430,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f399,f18]) ).
fof(f433,plain,
! [X0,X1] : join(X1,complement(join(sF12,X0))) = X1,
inference(superposition,[],[f399,f318]) ).
fof(f434,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f399,f33]) ).
fof(f440,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f20,f399]) ).
fof(f448,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(sF12,X1))) = X0,
inference(forward_demodulation,[],[f440,f318]) ).
fof(f458,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f448,f433]) ).
fof(f465,plain,
sK2 = complement(sF11),
inference(superposition,[],[f458,f54]) ).
fof(f466,plain,
sF5 = complement(sF6),
inference(superposition,[],[f458,f43]) ).
fof(f467,plain,
sF7 = complement(sF8),
inference(superposition,[],[f458,f47]) ).
fof(f468,plain,
sF9 = complement(sF10),
inference(superposition,[],[f458,f52]) ).
fof(f469,plain,
sF12 = complement(zero),
inference(superposition,[],[f458,f60]) ).
fof(f470,plain,
! [X0] : zero = complement(join(complement(X0),X0)),
inference(superposition,[],[f33,f458]) ).
fof(f474,plain,
! [X0] : top = join(complement(X0),X0),
inference(superposition,[],[f29,f458]) ).
fof(f478,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f281,f458]) ).
fof(f481,plain,
! [X0,X1] : join(sF12,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f318,f458]) ).
fof(f482,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f399,f458]) ).
fof(f484,plain,
! [X0] : sF12 = join(complement(X0),X0),
inference(forward_demodulation,[],[f474,f130]) ).
fof(f498,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f482,f18]) ).
fof(f516,plain,
! [X0,X1] : join(complement(join(complement(X0),join(X0,X1))),complement(complement(X0))) = X0,
inference(superposition,[],[f147,f482]) ).
fof(f531,plain,
! [X0,X1] : join(complement(join(complement(X0),join(X0,X1))),X0) = X0,
inference(forward_demodulation,[],[f516,f458]) ).
fof(f547,plain,
! [X0,X1] : join(complement(join(sF12,X1)),X0) = X0,
inference(forward_demodulation,[],[f531,f481]) ).
fof(f571,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f498,f482]) ).
fof(f603,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),X0),
inference(forward_demodulation,[],[f571,f458]) ).
fof(f615,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f603,f458]) ).
fof(f621,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f615,f19]) ).
fof(f636,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(X0)))),complement(complement(X0))) = X0,
inference(superposition,[],[f20,f478]) ).
fof(f641,plain,
! [X0] : join(complement(join(complement(X0),X0)),X0) = X0,
inference(forward_demodulation,[],[f636,f458]) ).
fof(f647,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f641,f470]) ).
fof(f888,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(superposition,[],[f146,f20]) ).
fof(f979,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f888,f19]) ).
fof(f999,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f979,f430]) ).
fof(f1016,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f999,f458]) ).
fof(f1104,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1016,f18]) ).
fof(f1121,plain,
join(sF3,complement(sF6)) = join(sF3,complement(sF7)),
inference(superposition,[],[f1016,f45]) ).
fof(f1123,plain,
join(sF10,complement(sF11)) = join(sF10,complement(sF12)),
inference(superposition,[],[f1016,f56]) ).
fof(f1165,plain,
join(sF10,complement(sF11)) = join(sF10,zero),
inference(forward_demodulation,[],[f1123,f60]) ).
fof(f1167,plain,
join(sF3,complement(sF6)) = join(sF3,sF8),
inference(forward_demodulation,[],[f1121,f47]) ).
fof(f1190,plain,
sF10 = join(sF10,complement(sF11)),
inference(forward_demodulation,[],[f1165,f434]) ).
fof(f1192,plain,
join(sF3,sF8) = join(sF3,sF5),
inference(forward_demodulation,[],[f1167,f466]) ).
fof(f1203,plain,
sF10 = join(sF10,sK2),
inference(forward_demodulation,[],[f1190,f465]) ).
fof(f1232,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(complement(X0))),
inference(superposition,[],[f1104,f999]) ).
fof(f1239,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(zero)),
inference(superposition,[],[f1104,f647]) ).
fof(f1291,plain,
! [X0] : join(X0,complement(X0)) = join(X0,sF12),
inference(forward_demodulation,[],[f1239,f469]) ).
fof(f1296,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),X0),
inference(forward_demodulation,[],[f1232,f458]) ).
fof(f1316,plain,
! [X0] : top = join(X0,sF12),
inference(forward_demodulation,[],[f1291,f29]) ).
fof(f1321,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(forward_demodulation,[],[f1296,f147]) ).
fof(f1329,plain,
! [X0] : sF12 = join(X0,sF12),
inference(forward_demodulation,[],[f1316,f130]) ).
fof(f1424,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X0,X2)),
inference(superposition,[],[f19,f1321]) ).
fof(f1467,plain,
join(sF3,complement(sF8)) = join(sF3,complement(join(sF3,sF5))),
inference(superposition,[],[f1016,f1192]) ).
fof(f1470,plain,
join(sF3,complement(sF8)) = join(sF3,complement(sF5)),
inference(forward_demodulation,[],[f1467,f1016]) ).
fof(f1473,plain,
join(sF3,sF6) = join(sF3,complement(sF8)),
inference(forward_demodulation,[],[f1470,f43]) ).
fof(f1474,plain,
join(sF3,sF6) = join(sF3,sF7),
inference(forward_demodulation,[],[f1473,f467]) ).
fof(f1475,plain,
sF7 = join(sF3,sF7),
inference(forward_demodulation,[],[f1474,f45]) ).
fof(f1578,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f145,f458]) ).
fof(f1588,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1))))),complement(X0)),
inference(superposition,[],[f145,f20]) ).
fof(f1662,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1))))),complement(X0)),
inference(forward_demodulation,[],[f1588,f458]) ).
fof(f1700,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1)))))),complement(X0)),
inference(forward_demodulation,[],[f1662,f19]) ).
fof(f1732,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f1700,f430]) ).
fof(f1925,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(superposition,[],[f1578,f18]) ).
fof(f2300,plain,
complement(sK2) = join(complement(join(complement(sF10),sK2)),complement(sF10)),
inference(superposition,[],[f1925,f1203]) ).
fof(f2314,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f147,f1925]) ).
fof(f2352,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X1,X0))),X0),
inference(forward_demodulation,[],[f2314,f458]) ).
fof(f2360,plain,
complement(sK2) = join(complement(sF10),complement(sK2)),
inference(forward_demodulation,[],[f2300,f1732]) ).
fof(f2425,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X1,X0)),X0),
inference(forward_demodulation,[],[f2352,f1424]) ).
fof(f2431,plain,
sF11 = join(complement(sF10),sF11),
inference(forward_demodulation,[],[f2360,f54]) ).
fof(f2494,plain,
sF11 = join(sF9,sF11),
inference(forward_demodulation,[],[f2431,f468]) ).
fof(f2619,plain,
complement(sF9) = join(complement(join(complement(sF11),sF9)),complement(sF11)),
inference(superposition,[],[f1578,f2494]) ).
fof(f2621,plain,
complement(sF9) = join(complement(sF11),complement(sF9)),
inference(forward_demodulation,[],[f2619,f1732]) ).
fof(f2624,plain,
sF10 = join(complement(sF11),sF10),
inference(forward_demodulation,[],[f2621,f52]) ).
fof(f2627,plain,
sF10 = join(sK2,sF10),
inference(forward_demodulation,[],[f2624,f465]) ).
fof(f4025,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f108,f27]) ).
fof(f4048,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f4025,f26]) ).
fof(f4064,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f4048,f26]) ).
fof(f4072,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f4064,f27]) ).
fof(f4094,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f4072]) ).
fof(f4109,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4094,f25]) ).
fof(f4151,plain,
! [X0] : composition(sF4,join(sK2,X0)) = join(sF5,composition(sF4,X0)),
inference(superposition,[],[f4109,f41]) ).
fof(f4253,plain,
composition(sF4,sF10) = join(sF5,composition(sF4,sF10)),
inference(superposition,[],[f4151,f2627]) ).
fof(f4468,plain,
! [X0,X1] : complement(join(X0,complement(complement(X1)))) = join(complement(join(sF12,X0)),complement(join(X1,join(X0,complement(complement(X1)))))),
inference(superposition,[],[f1925,f334]) ).
fof(f4482,plain,
! [X0,X1] : complement(join(X1,join(X0,complement(complement(X1))))) = complement(join(X0,complement(complement(X1)))),
inference(forward_demodulation,[],[f4468,f547]) ).
fof(f4547,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,join(X0,X1))),
inference(forward_demodulation,[],[f4482,f458]) ).
fof(f4587,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f4547,f621]) ).
fof(f8848,plain,
join(complement(sF5),composition(sF4,sF10)) = join(complement(composition(sF4,sF10)),composition(sF4,sF10)),
inference(superposition,[],[f2425,f4253]) ).
fof(f9007,plain,
sF12 = join(complement(sF5),composition(sF4,sF10)),
inference(forward_demodulation,[],[f8848,f484]) ).
fof(f9099,plain,
sF12 = join(sF6,composition(sF4,sF10)),
inference(forward_demodulation,[],[f9007,f43]) ).
fof(f17511,plain,
join(sF3,sF12) = join(sF7,composition(sF4,sF10)),
inference(superposition,[],[f307,f9099]) ).
fof(f17553,plain,
sF12 = join(sF7,composition(sF4,sF10)),
inference(forward_demodulation,[],[f17511,f1329]) ).
fof(f27643,plain,
sF7 = join(composition(sF4,sF10),sF7),
inference(superposition,[],[f305,f1475]) ).
fof(f42528,plain,
complement(sF7) = complement(join(sF7,composition(sF4,sF10))),
inference(superposition,[],[f4587,f27643]) ).
fof(f42567,plain,
complement(sF7) = complement(sF12),
inference(forward_demodulation,[],[f42528,f17553]) ).
fof(f42604,plain,
zero = complement(sF7),
inference(forward_demodulation,[],[f42567,f60]) ).
fof(f42629,plain,
zero = sF8,
inference(forward_demodulation,[],[f42604,f47]) ).
fof(f42644,plain,
$false,
inference(forward_subsumption_resolution,[],[f42629,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL010+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.41 % Computer : n003.cluster.edu
% 0.13/10.41 % Model : x86_64 x86_64
% 0.13/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.41 % Memory : 8046.5625MB
% 0.13/10.41 % OS : Linux 6.8.0-71-generic
% 0.13/10.41 % CPULimit : 300
% 0.13/10.41 % WCLimit : 300
% 0.13/10.41 % DateTime : Sun Sep 27 22:52:37 UTC 2026
% 0.13/10.42 % CPUTime :
% 0.13/10.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.46 Running first-order theorem proving
% 0.13/10.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.74/13.40 % (1011058)Detected formulas, will run a generic FOF schedule.
% 10.74/13.40 % (1011063)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=1626537056:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.74/13.40 % (1011064)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=2095506263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.74/13.40 % (1011068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3820768931:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.74/13.40 % (1011066)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1765765761:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.74/13.40 % (1011069)dis-21_1_sil=8000:lcm=predicate:random_seed=2976083274:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.74/13.40 % (1011065)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=2625101842:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.74/13.40 % (1011067)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=993049309:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.74/13.40 % (1011069)Refutation not found, incomplete strategy
% 10.74/13.40 % (1011069)------------------------------
% 10.74/13.40 % (1011069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011069)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011069)Termination reason: Refutation not found, incomplete strategy
% 10.74/13.40 % (1011069)Time elapsed: 0.002 s
% 10.74/13.40 % (1011069)Peak memory usage: 88 MB
% 10.74/13.40 % (1011069)Instructions burned: 1 (million)
% 10.74/13.40 % (1011067)Instruction limit reached!
% 10.74/13.40 % (1011067)------------------------------
% 10.74/13.40 % (1011067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011067)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011067)Termination reason: Instruction limit
% 10.74/13.40 % (1011067)Termination phase: Saturation
% 10.74/13.40 % (1011067)Time elapsed: 0.107 s
% 10.74/13.40 % (1011067)Peak memory usage: 88 MB
% 10.74/13.40 % (1011067)Instructions burned: 119 (million)
% 10.74/13.40 % (1011066)Instruction limit reached!
% 10.74/13.40 % (1011066)------------------------------
% 10.74/13.40 % (1011066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011066)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011066)Termination reason: Instruction limit
% 10.74/13.40 % (1011066)Termination phase: Saturation
% 10.74/13.40 % (1011066)Time elapsed: 0.108 s
% 10.74/13.40 % (1011066)Peak memory usage: 90 MB
% 10.74/13.40 % (1011066)Instructions burned: 109 (million)
% 10.74/13.40 % (1011068)Instruction limit reached!
% 10.74/13.40 % (1011068)------------------------------
% 10.74/13.40 % (1011068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011068)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011068)Termination reason: Instruction limit
% 10.74/13.40 % (1011068)Termination phase: Saturation
% 10.74/13.40 % (1011068)Time elapsed: 0.140 s
% 10.74/13.40 % (1011068)Peak memory usage: 90 MB
% 10.74/13.40 % (1011068)Instructions burned: 139 (million)
% 10.74/13.40 % (1011077)lrs+10_1_sil=8000:sp=occurrence:random_seed=1197104987:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.74/13.40 % (1011078)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3375446853:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.74/13.40 % (1011079)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2572713608:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.74/13.40 % (1011069)------------------------------
% 10.74/13.40 % (1011069)------------------------------
% 10.74/13.40 % (1011078)Instruction limit reached!
% 10.74/13.40 % (1011078)------------------------------
% 10.74/13.40 % (1011078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011078)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011078)Termination reason: Instruction limit
% 10.74/13.40 % (1011078)Termination phase: Saturation
% 10.74/13.40 % (1011078)Time elapsed: 0.154 s
% 10.74/13.40 % (1011078)Peak memory usage: 91 MB
% 10.74/13.40 % (1011078)Instructions burned: 160 (million)
% 10.74/13.40 % (1011085)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=500634950:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.74/13.40 % (1011077)Instruction limit reached!
% 10.74/13.40 % (1011077)------------------------------
% 10.74/13.40 % (1011077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011077)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011077)Termination reason: Instruction limit
% 10.74/13.40 % (1011077)Termination phase: Saturation
% 10.74/13.40 % (1011077)Time elapsed: 0.273 s
% 10.74/13.40 % (1011077)Peak memory usage: 91 MB
% 10.74/13.40 % (1011077)Instructions burned: 285 (million)
% 10.74/13.40 % (1011079)Instruction limit reached!
% 10.74/13.40 % (1011079)------------------------------
% 10.74/13.40 % (1011079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011079)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011079)Termination reason: Instruction limit
% 10.74/13.40 % (1011079)Termination phase: Saturation
% 10.74/13.40 % (1011079)Time elapsed: 0.328 s
% 10.74/13.40 % (1011079)Peak memory usage: 92 MB
% 10.74/13.40 % (1011079)Instructions burned: 325 (million)
% 10.74/13.40 % (1011086)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3139645886:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 10.74/13.40 % (1011085)Instruction limit reached!
% 10.74/13.40 % (1011085)------------------------------
% 10.74/13.40 % (1011085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011085)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011085)Termination reason: Instruction limit
% 10.74/13.40 % (1011085)Termination phase: Saturation
% 10.74/13.40 % (1011085)Time elapsed: 0.252 s
% 10.74/13.40 % (1011085)Peak memory usage: 92 MB
% 10.74/13.40 % (1011085)Instructions burned: 249 (million)
% 10.74/13.40 % (1011088)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3088539262:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 10.74/13.40 % (1011089)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=680100363:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 10.74/13.40 % (1011086)Instruction limit reached!
% 10.74/13.40 % (1011086)------------------------------
% 10.74/13.40 % (1011086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011086)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011086)Termination reason: Instruction limit
% 10.74/13.40 % (1011086)Termination phase: Saturation
% 10.74/13.40 % (1011086)Time elapsed: 0.287 s
% 10.74/13.40 % (1011086)Peak memory usage: 90 MB
% 10.74/13.40 % (1011086)Instructions burned: 294 (million)
% 10.74/13.40 % (1011089)Instruction limit reached!
% 10.74/13.40 % (1011089)------------------------------
% 10.74/13.40 % (1011089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011089)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011089)Termination reason: Instruction limit
% 10.74/13.40 % (1011089)Termination phase: Saturation
% 10.74/13.40 % (1011089)Time elapsed: 0.120 s
% 10.74/13.40 % (1011089)Peak memory usage: 91 MB
% 10.74/13.40 % (1011089)Instructions burned: 114 (million)
% 10.74/13.40 % (1011091)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2364438867:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 10.74/13.40 % (1011091)Refutation not found, incomplete strategy
% 10.74/13.40 % (1011091)------------------------------
% 10.74/13.40 % (1011091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011091)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011091)Termination reason: Refutation not found, incomplete strategy
% 10.74/13.40 % (1011091)Time elapsed: 0.002 s
% 10.74/13.40 % (1011091)Peak memory usage: 88 MB
% 10.74/13.40 % (1011095)lrs+10_1_sil=8000:sp=occurrence:random_seed=1540678223:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 10.74/13.40 % (1011094)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2762780812:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 10.74/13.40 % (1011094)Instruction limit reached!
% 10.74/13.40 % (1011094)------------------------------
% 10.74/13.40 % (1011094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011094)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011094)Termination reason: Instruction limit
% 10.74/13.40 % (1011094)Termination phase: Saturation
% 10.74/13.40 % (1011094)Time elapsed: 0.111 s
% 10.74/13.40 % (1011094)Peak memory usage: 89 MB
% 10.74/13.40 % (1011094)Instructions burned: 114 (million)
% 10.74/13.40 % (1011091)------------------------------
% 10.74/13.40 % (1011091)------------------------------
% 10.74/13.40 % (1011099)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1696697616:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 10.74/13.40 % (1011099)Refutation not found, incomplete strategy
% 10.74/13.40 % (1011099)------------------------------
% 10.74/13.40 % (1011099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/13.40 % (1011099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/13.40 % (1011099)CaDiCaL version: 2.1.3
% 10.74/13.40 % (1011099)Termination reason: Refutation not found, incomplete strategy
% 10.74/13.40 % (1011099)Time elapsed: 0.002 s
% 10.74/13.40 % (1011099)Peak memory usage: 88 MB
% 10.74/13.40 % (1011063)First to succeed.
% 10.74/13.40 % (1011063)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1011058"
% 10.74/13.40 % (1011100)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2293043995:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 10.74/13.40 % (1011063)Refutation found. Thanks to Tanya!
% 10.74/13.40 % SZS status Theorem for theBenchmark
% 10.74/13.40 % SZS output start Proof for theBenchmark
% See solution above
% 17.95/13.72 % (1011063)------------------------------
% 17.95/13.72 % (1011063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/13.72 % (1011063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/13.72 % (1011063)CaDiCaL version: 2.1.3
% 17.95/13.72 % (1011063)Termination reason: Refutation
% 17.95/13.72 % (1011063)Time elapsed: 1.926 s
% 17.95/13.72 % (1011063)Peak memory usage: 151 MB
% 17.95/13.72 % (1011063)Instructions burned: 3424 (million)
% 17.95/13.72 % (1011063)------------------------------
% 17.95/13.72 % (1011063)------------------------------
% 17.95/13.73 % (1011058)Success in time 2.419 s
% 17.95/13.73 % Vampire exiting
%------------------------------------------------------------------------------