%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL032+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 : n017.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 12:33:58 PM UTC 2026
% Result : Theorem 11.95s 2.55s
% Output : Refutation 12.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 24
% Syntax : Number of formulae : 168 ( 168 unt; 12 def)
% Number of atoms : 168 ( 167 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 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 : 154 ( 151 !; 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(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] : join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))) = meet(composition(X0,X1),composition(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))) = meet(composition(X0,X1),composition(X0,X2)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] : meet(composition(X0,X1),composition(X0,X2)) != join(composition(X0,meet(X1,X2)),meet(composition(X0,X1),composition(X0,X2))),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(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,
meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(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,
complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))) != join(composition(sK0,complement(join(complement(sK1),complement(sK2)))),complement(join(complement(composition(sK0,sK1)),complement(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 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = join(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
join(sF4,sF6) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
complement(sK1) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
complement(sK2) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = join(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
join(sF9,sF10) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = composition(sK0,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
composition(sK0,sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = join(sF13,sF8),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
join(sF13,sF8) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
sF8 != sF14,
inference(definition_folding,[],[f33,f57,f45,f43,f41,f39,f37,f35,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f64,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(f70,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f72,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(f96,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f98,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f156,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f72,f27]) ).
fof(f165,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f156,f26]) ).
fof(f168,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f165,f26]) ).
fof(f170,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f168,f27]) ).
fof(f183,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f170]) ).
fof(f194,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f183,f25]) ).
fof(f211,plain,
! [X0] : composition(sK0,join(sF12,X0)) = join(sF13,composition(sK0,X0)),
inference(superposition,[],[f194,f55]) ).
fof(f291,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f20,f32]) ).
fof(f314,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(f323,plain,
! [X0] : join(sF13,join(sF8,X0)) = join(sF14,X0),
inference(superposition,[],[f19,f57]) ).
fof(f327,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f364,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f70,f23]) ).
fof(f365,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f364,f25]) ).
fof(f382,plain,
one = converse(one),
inference(superposition,[],[f23,f365]) ).
fof(f576,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f365,f382]) ).
fof(f739,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f576]) ).
fof(f752,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f739,f365]) ).
fof(f757,plain,
sF9 = join(sF9,sF9),
inference(superposition,[],[f752,f47]) ).
fof(f758,plain,
sF10 = join(sF10,sF10),
inference(superposition,[],[f752,f49]) ).
fof(f759,plain,
sF4 = join(sF4,sF4),
inference(superposition,[],[f752,f37]) ).
fof(f760,plain,
sF6 = join(sF6,sF6),
inference(superposition,[],[f752,f41]) ).
fof(f761,plain,
sF8 = join(sF8,sF8),
inference(superposition,[],[f752,f45]) ).
fof(f772,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f314,f752]) ).
fof(f779,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f772,f20]) ).
fof(f799,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f779,f18]) ).
fof(f804,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f779,f32]) ).
fof(f808,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f327,f779]) ).
fof(f855,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f804]) ).
fof(f872,plain,
sK1 = join(zero,complement(join(sF9,sF9))),
inference(superposition,[],[f291,f47]) ).
fof(f873,plain,
sK2 = join(zero,complement(join(sF10,sF10))),
inference(superposition,[],[f291,f49]) ).
fof(f874,plain,
sF3 = join(zero,complement(join(sF4,sF4))),
inference(superposition,[],[f291,f37]) ).
fof(f875,plain,
sF5 = join(zero,complement(join(sF6,sF6))),
inference(superposition,[],[f291,f41]) ).
fof(f876,plain,
sF7 = join(zero,complement(join(sF8,sF8))),
inference(superposition,[],[f291,f45]) ).
fof(f881,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X0),complement(X0))),join(X1,zero)),
inference(superposition,[],[f327,f291]) ).
fof(f883,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X0),complement(X0))),X1),
inference(forward_demodulation,[],[f881,f804]) ).
fof(f887,plain,
sF7 = complement(join(sF8,sF8)),
inference(forward_demodulation,[],[f876,f855]) ).
fof(f888,plain,
sF5 = complement(join(sF6,sF6)),
inference(forward_demodulation,[],[f875,f855]) ).
fof(f889,plain,
sF3 = complement(join(sF4,sF4)),
inference(forward_demodulation,[],[f874,f855]) ).
fof(f890,plain,
sK2 = complement(join(sF10,sF10)),
inference(forward_demodulation,[],[f873,f855]) ).
fof(f891,plain,
sK1 = complement(join(sF9,sF9)),
inference(forward_demodulation,[],[f872,f855]) ).
fof(f893,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f883,f752]) ).
fof(f895,plain,
sF7 = complement(sF8),
inference(forward_demodulation,[],[f887,f761]) ).
fof(f896,plain,
sF5 = complement(sF6),
inference(forward_demodulation,[],[f888,f760]) ).
fof(f897,plain,
sF3 = complement(sF4),
inference(forward_demodulation,[],[f889,f759]) ).
fof(f898,plain,
sK2 = complement(sF10),
inference(forward_demodulation,[],[f890,f758]) ).
fof(f899,plain,
sK1 = complement(sF9),
inference(forward_demodulation,[],[f891,f757]) ).
fof(f1042,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f779,f893]) ).
fof(f1051,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(complement(X1))),
inference(superposition,[],[f18,f893]) ).
fof(f1058,plain,
! [X0] : complement(complement(X0)) = join(zero,X0),
inference(superposition,[],[f804,f893]) ).
fof(f1059,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1058,f855]) ).
fof(f1120,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f96,f1059]) ).
fof(f1123,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f98,f1059]) ).
fof(f1129,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f779,f1059]) ).
fof(f1161,plain,
! [X0,X1] : complement(complement(complement(X1))) = join(complement(complement(complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f1129,f893]) ).
fof(f1169,plain,
complement(sF9) = join(complement(sF9),complement(sF11)),
inference(superposition,[],[f1129,f51]) ).
fof(f1203,plain,
complement(sF9) = join(complement(sF9),sF12),
inference(forward_demodulation,[],[f1169,f53]) ).
fof(f1207,plain,
! [X0,X1] : complement(complement(complement(X1))) = join(complement(join(X0,X1)),complement(X1)),
inference(forward_demodulation,[],[f1161,f893]) ).
fof(f1219,plain,
sK1 = join(sK1,sF12),
inference(forward_demodulation,[],[f1203,f899]) ).
fof(f1221,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(X1)),
inference(forward_demodulation,[],[f1207,f1059]) ).
fof(f1255,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(complement(complement(join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f1042,f1042]) ).
fof(f1264,plain,
complement(sF10) = join(complement(sF10),complement(sF11)),
inference(superposition,[],[f1042,f51]) ).
fof(f1300,plain,
complement(sF10) = join(complement(sF10),sF12),
inference(forward_demodulation,[],[f1264,f53]) ).
fof(f1303,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(complement(complement(join(X1,X0))),X0),
inference(forward_demodulation,[],[f1255,f1051]) ).
fof(f1316,plain,
sK2 = join(sK2,sF12),
inference(forward_demodulation,[],[f1300,f898]) ).
fof(f1319,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1303,f893]) ).
fof(f1328,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1319,f1059]) ).
fof(f1335,plain,
sK1 = join(sF12,sK1),
inference(superposition,[],[f18,f1219]) ).
fof(f1353,plain,
composition(sK0,sK1) = join(sF13,composition(sK0,sK1)),
inference(superposition,[],[f211,f1335]) ).
fof(f1361,plain,
sF3 = join(sF13,sF3),
inference(forward_demodulation,[],[f1353,f35]) ).
fof(f1367,plain,
sK2 = join(sF12,sK2),
inference(superposition,[],[f18,f1316]) ).
fof(f1385,plain,
composition(sK0,sK2) = join(sF13,composition(sK0,sK2)),
inference(superposition,[],[f211,f1367]) ).
fof(f1393,plain,
sF5 = join(sF13,sF5),
inference(forward_demodulation,[],[f1385,f39]) ).
fof(f1604,plain,
sF7 = join(sF6,sF7),
inference(superposition,[],[f1328,f43]) ).
fof(f1703,plain,
! [X0] : join(X0,sF3) = join(sF13,join(sF3,X0)),
inference(superposition,[],[f327,f1361]) ).
fof(f2064,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f20,f1120]) ).
fof(f2089,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),X0),
inference(forward_demodulation,[],[f2064,f893]) ).
fof(f2138,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f2089,f808]) ).
fof(f2488,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(X2,complement(X0))),join(X1,X0)),
inference(superposition,[],[f327,f799]) ).
fof(f3650,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(superposition,[],[f64,f1059]) ).
fof(f3786,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3650,f2488]) ).
fof(f3934,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f3786,f18]) ).
fof(f4217,plain,
join(sF6,complement(sF4)) = join(sF6,complement(sF7)),
inference(superposition,[],[f3934,f43]) ).
fof(f4321,plain,
join(sF6,complement(sF4)) = join(sF6,sF8),
inference(forward_demodulation,[],[f4217,f45]) ).
fof(f4373,plain,
join(sF6,sF8) = join(sF6,sF3),
inference(forward_demodulation,[],[f4321,f897]) ).
fof(f4492,plain,
join(sF6,complement(sF8)) = join(sF6,complement(join(sF6,sF3))),
inference(superposition,[],[f3786,f4373]) ).
fof(f4495,plain,
join(sF6,complement(sF8)) = join(sF6,complement(sF3)),
inference(forward_demodulation,[],[f4492,f3786]) ).
fof(f4499,plain,
join(sF6,sF4) = join(sF6,complement(sF8)),
inference(forward_demodulation,[],[f4495,f37]) ).
fof(f4501,plain,
join(sF6,sF4) = join(sF6,sF7),
inference(forward_demodulation,[],[f4499,f895]) ).
fof(f4502,plain,
sF7 = join(sF6,sF4),
inference(forward_demodulation,[],[f4501,f1604]) ).
fof(f5324,plain,
complement(sF6) = join(complement(sF7),complement(sF6)),
inference(superposition,[],[f1221,f43]) ).
fof(f5430,plain,
sF5 = join(complement(sF7),sF5),
inference(forward_demodulation,[],[f5324,f896]) ).
fof(f5478,plain,
sF5 = join(sF8,sF5),
inference(forward_demodulation,[],[f5430,f45]) ).
fof(f8246,plain,
join(complement(sF4),sF6) = join(complement(sF7),sF6),
inference(superposition,[],[f2138,f4502]) ).
fof(f8374,plain,
join(sF8,sF6) = join(complement(sF4),sF6),
inference(forward_demodulation,[],[f8246,f45]) ).
fof(f8455,plain,
join(sF8,sF6) = join(sF3,sF6),
inference(forward_demodulation,[],[f8374,f897]) ).
fof(f10823,plain,
join(sF13,sF5) = join(sF14,sF5),
inference(superposition,[],[f323,f5478]) ).
fof(f10824,plain,
join(sF14,sF6) = join(sF13,join(sF3,sF6)),
inference(superposition,[],[f323,f8455]) ).
fof(f10885,plain,
join(sF6,sF3) = join(sF14,sF6),
inference(forward_demodulation,[],[f10824,f1703]) ).
fof(f10886,plain,
sF5 = join(sF14,sF5),
inference(forward_demodulation,[],[f10823,f1393]) ).
fof(f10945,plain,
complement(sF14) = join(complement(join(sF6,sF3)),complement(join(sF14,complement(sF6)))),
inference(superposition,[],[f1123,f10885]) ).
fof(f10959,plain,
complement(sF14) = join(complement(join(sF6,sF3)),complement(join(sF14,sF5))),
inference(forward_demodulation,[],[f10945,f896]) ).
fof(f10966,plain,
complement(sF14) = join(complement(join(sF6,sF3)),complement(sF5)),
inference(forward_demodulation,[],[f10959,f10886]) ).
fof(f10968,plain,
complement(sF14) = join(complement(join(sF6,sF3)),sF6),
inference(forward_demodulation,[],[f10966,f41]) ).
fof(f10969,plain,
complement(sF14) = join(complement(sF3),sF6),
inference(forward_demodulation,[],[f10968,f2138]) ).
fof(f10970,plain,
join(sF4,sF6) = complement(sF14),
inference(forward_demodulation,[],[f10969,f37]) ).
fof(f10971,plain,
sF7 = complement(sF14),
inference(forward_demodulation,[],[f10970,f43]) ).
fof(f11007,plain,
complement(sF7) = sF14,
inference(superposition,[],[f1059,f10971]) ).
fof(f11018,plain,
sF8 = sF14,
inference(forward_demodulation,[],[f11007,f45]) ).
fof(f11043,plain,
$false,
inference(forward_subsumption_resolution,[],[f11018,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL032+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:50:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 11.95/2.55 % (3042746)Detected formulas, will run a generic FOF schedule.
% 11.95/2.55 % (3042814)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=2268037623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.95/2.55 % (3042815)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=659027464:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.95/2.55 % (3042819)dis-21_1_sil=8000:lcm=predicate:random_seed=454694376: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)
% 11.95/2.55 % (3042817)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=326352556:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.95/2.55 % (3042813)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=797663174:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.95/2.55 % (3042816)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2678145058:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.95/2.55 % (3042818)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4065348290:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.95/2.55 % (3042819)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042819)------------------------------
% 11.95/2.55 % (3042819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042816)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042816)------------------------------
% 11.95/2.55 % (3042816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042819)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042819)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042819)Time elapsed: 0.001 s
% 11.95/2.55 % (3042816)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042819)Peak memory usage: 88 MB
% 11.95/2.55 % (3042816)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042816)Time elapsed: 0.001 s
% 11.95/2.55 % (3042819)Instructions burned: 1 (million)
% 11.95/2.55 % (3042816)Peak memory usage: 88 MB
% 11.95/2.55 % (3042817)Instruction limit reached!
% 11.95/2.55 % (3042817)------------------------------
% 11.95/2.55 % (3042817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042817)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042817)Termination reason: Instruction limit
% 11.95/2.55 % (3042817)Termination phase: Saturation
% 11.95/2.55 % (3042817)Time elapsed: 0.062 s
% 11.95/2.55 % (3042817)Peak memory usage: 88 MB
% 11.95/2.55 % (3042817)Instructions burned: 120 (million)
% 11.95/2.55 % (3042818)Instruction limit reached!
% 11.95/2.55 % (3042818)------------------------------
% 11.95/2.55 % (3042818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042818)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042818)Termination reason: Instruction limit
% 11.95/2.55 % (3042818)Termination phase: Saturation
% 11.95/2.55 % (3042818)Time elapsed: 0.085 s
% 11.95/2.55 % (3042818)Peak memory usage: 90 MB
% 11.95/2.55 % (3042818)Instructions burned: 140 (million)
% 11.95/2.55 % (3042827)lrs+10_1_sil=8000:sp=occurrence:random_seed=24243222:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.95/2.55 % (3042819)------------------------------
% 11.95/2.55 % (3042819)------------------------------
% 11.95/2.55 % (3042816)------------------------------
% 11.95/2.55 % (3042816)------------------------------
% 11.95/2.55 % (3042828)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1686291961:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.95/2.55 % (3042828)Instruction limit reached!
% 11.95/2.55 % (3042828)------------------------------
% 11.95/2.55 % (3042828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042828)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042828)Termination reason: Instruction limit
% 11.95/2.55 % (3042828)Termination phase: Saturation
% 11.95/2.55 % (3042828)Time elapsed: 0.082 s
% 11.95/2.55 % (3042828)Peak memory usage: 89 MB
% 11.95/2.55 % (3042828)Instructions burned: 157 (million)
% 11.95/2.55 % (3042830)lrs+1011_1_sil=32000:sp=occurrence:random_seed=953235414:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.95/2.55 % (3042832)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=1342704563:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.95/2.55 % (3042827)Instruction limit reached!
% 11.95/2.55 % (3042827)------------------------------
% 11.95/2.55 % (3042827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042827)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042827)Termination reason: Instruction limit
% 11.95/2.55 % (3042827)Termination phase: Saturation
% 11.95/2.55 % (3042827)Time elapsed: 0.173 s
% 11.95/2.55 % (3042827)Peak memory usage: 91 MB
% 11.95/2.55 % (3042827)Instructions burned: 286 (million)
% 11.95/2.55 % (3042833)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3515533832:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.95/2.55 % (3042833)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042833)------------------------------
% 11.95/2.55 % (3042833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042833)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042833)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042833)Time elapsed: 0.002 s
% 11.95/2.55 % (3042833)Peak memory usage: 88 MB
% 11.95/2.55 % (3042833)Instructions burned: 1 (million)
% 11.95/2.55 % (3042836)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2074239996:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.95/2.55 % (3042832)Instruction limit reached!
% 11.95/2.55 % (3042832)------------------------------
% 11.95/2.55 % (3042832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042832)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042832)Termination reason: Instruction limit
% 11.95/2.55 % (3042832)Termination phase: Saturation
% 11.95/2.55 % (3042832)Time elapsed: 0.154 s
% 11.95/2.55 % (3042832)Peak memory usage: 91 MB
% 11.95/2.55 % (3042832)Instructions burned: 248 (million)
% 11.95/2.55 % (3042815)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042815)------------------------------
% 11.95/2.55 % (3042815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042815)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042815)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042815)Time elapsed: 0.594 s
% 11.95/2.55 % (3042815)Peak memory usage: 127 MB
% 11.95/2.55 % (3042815)Instructions burned: 889 (million)
% 11.95/2.55 % (3042830)Instruction limit reached!
% 11.95/2.55 % (3042830)------------------------------
% 11.95/2.55 % (3042830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042830)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042830)Termination reason: Instruction limit
% 11.95/2.55 % (3042830)Termination phase: Saturation
% 11.95/2.55 % (3042830)Time elapsed: 0.198 s
% 11.95/2.55 % (3042830)Peak memory usage: 91 MB
% 11.95/2.55 % (3042830)Instructions burned: 325 (million)
% 11.95/2.55 % (3042839)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2671226859:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.95/2.55 % (3042833)------------------------------
% 11.95/2.55 % (3042833)------------------------------
% 11.95/2.55 % (3042839)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042839)------------------------------
% 11.95/2.55 % (3042839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042839)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042839)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042839)Time elapsed: 0.002 s
% 11.95/2.55 % (3042839)Peak memory usage: 88 MB
% 11.95/2.55 % (3042840)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2936414974:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.95/2.55 % (3042840)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042840)------------------------------
% 11.95/2.55 % (3042840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042840)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042840)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042840)Time elapsed: 0.001 s
% 11.95/2.55 % (3042840)Peak memory usage: 88 MB
% 11.95/2.55 % (3042815)------------------------------
% 11.95/2.55 % (3042815)------------------------------
% 11.95/2.55 % (3042842)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1555981533:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.95/2.55 % (3042839)------------------------------
% 11.95/2.55 % (3042839)------------------------------
% 11.95/2.55 % (3042842)Instruction limit reached!
% 11.95/2.55 % (3042842)------------------------------
% 11.95/2.55 % (3042842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042842)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042842)Termination reason: Instruction limit
% 11.95/2.55 % (3042842)Termination phase: Saturation
% 11.95/2.55 % (3042842)Time elapsed: 0.067 s
% 11.95/2.55 % (3042842)Peak memory usage: 89 MB
% 11.95/2.55 % (3042842)Instructions burned: 115 (million)
% 11.95/2.55 % (3042840)------------------------------
% 11.95/2.55 % (3042840)------------------------------
% 11.95/2.55 % (3042844)lrs+10_1_sil=8000:sp=occurrence:random_seed=1287272117:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 11.95/2.55 % (3042846)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4130365369:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 11.95/2.55 % (3042847)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=105422995:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.95/2.55 % (3042846)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042846)------------------------------
% 11.95/2.55 % (3042846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042846)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042846)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042846)Time elapsed: 0.001 s
% 11.95/2.55 % (3042846)Peak memory usage: 88 MB
% 11.95/2.55 % (3042849)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=182686225:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.95/2.55 % (3042849)Refutation not found, incomplete strategy
% 11.95/2.55 % (3042849)------------------------------
% 11.95/2.55 % (3042849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.55 % (3042849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.55 % (3042849)CaDiCaL version: 2.1.3
% 11.95/2.55 % (3042849)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.55 % (3042849)Time elapsed: 0.002 s
% 11.95/2.55 % (3042849)Peak memory usage: 89 MB
% 11.95/2.55 % (3042813)First to succeed.
% 11.95/2.55 % (3042813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3042746"
% 11.95/2.55 % (3042846)------------------------------
% 11.95/2.55 % (3042846)------------------------------
% 11.95/2.55 % (3042849)------------------------------
% 11.95/2.55 % (3042849)------------------------------
% 11.95/2.55 % (3042813)Refutation found. Thanks to Tanya!
% 11.95/2.55 % SZS status Theorem for theBenchmark
% 11.95/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.67/2.74 % (3042813)------------------------------
% 12.67/2.74 % (3042813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.67/2.74 % (3042813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.74 % (3042813)CaDiCaL version: 2.1.3
% 12.67/2.74 % (3042813)Termination reason: Refutation
% 12.67/2.74 % (3042813)Time elapsed: 1.282 s
% 12.67/2.74 % (3042813)Peak memory usage: 138 MB
% 12.67/2.74 % (3042813)Instructions burned: 2040 (million)
% 12.67/2.74 % (3042813)------------------------------
% 12.67/2.74 % (3042813)------------------------------
% 12.67/2.74 % (3042746)Success in time 1.704 s
% 12.67/2.74 % Vampire exiting
%------------------------------------------------------------------------------