%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL032+2 : 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 : n007.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 16.46s 3.17s
% Output : Refutation 16.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 24
% Syntax : Number of formulae : 147 ( 147 unt; 12 def)
% Number of atoms : 147 ( 146 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 : 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 : 140 ( 137 !; 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(f17,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(f18,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)],[f17]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
meet(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,meet(sK1,sK2)),meet(composition(sK0,sK1),composition(sK0,sK2))),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f42,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,[],[f37,f24,f24,f24]) ).
fof(f43,definition,
sF3 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f44,plain,
composition(sK0,sK1) = sF3,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f46,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF5 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f48,plain,
composition(sK0,sK2) = sF5,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f50,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF7 = join(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f52,plain,
join(sF4,sF6) = sF7,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f54,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF9 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f56,plain,
complement(sK1) = sF9,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF10 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f58,plain,
complement(sK2) = sF10,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF11 = join(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f60,plain,
join(sF9,sF10) = sF11,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f62,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF13 = composition(sK0,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f64,plain,
composition(sK0,sF12) = sF13,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF14 = join(sF13,sF8),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f66,plain,
join(sF13,sF8) = sF14,
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
sF8 != sF14,
inference(definition_folding,[],[f42,f66,f54,f52,f50,f48,f46,f44,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44]) ).
fof(f85,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f88,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f105,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f107,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f165,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f88,f30]) ).
fof(f174,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f165,f29]) ).
fof(f177,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f174,f29]) ).
fof(f179,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f177,f30]) ).
fof(f192,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f179]) ).
fof(f203,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f192,f28]) ).
fof(f219,plain,
! [X0] : composition(sK0,join(sF12,X0)) = join(sF13,composition(sK0,X0)),
inference(superposition,[],[f203,f64]) ).
fof(f364,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f373,plain,
! [X0] : join(sF4,join(sF6,X0)) = join(sF7,X0),
inference(superposition,[],[f22,f52]) ).
fof(f375,plain,
! [X0] : join(sF13,join(sF8,X0)) = join(sF14,X0),
inference(superposition,[],[f22,f66]) ).
fof(f379,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f482,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f85,f26]) ).
fof(f493,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f482,f28]) ).
fof(f508,plain,
one = converse(one),
inference(superposition,[],[f26,f493]) ).
fof(f523,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f493,f508]) ).
fof(f686,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f523]) ).
fof(f699,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f686,f493]) ).
fof(f718,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f364,f699]) ).
fof(f725,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f718,f23]) ).
fof(f751,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f379,f725]) ).
fof(f834,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(superposition,[],[f107,f38]) ).
fof(f836,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f725,f38]) ).
fof(f876,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(forward_demodulation,[],[f834,f836]) ).
fof(f897,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f876,f699]) ).
fof(f902,plain,
sK1 = complement(sF9),
inference(superposition,[],[f897,f56]) ).
fof(f903,plain,
sK2 = complement(sF10),
inference(superposition,[],[f897,f58]) ).
fof(f904,plain,
sF3 = complement(sF4),
inference(superposition,[],[f897,f46]) ).
fof(f905,plain,
sF5 = complement(sF6),
inference(superposition,[],[f897,f50]) ).
fof(f906,plain,
sF7 = complement(sF8),
inference(superposition,[],[f897,f54]) ).
fof(f910,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f23,f897]) ).
fof(f916,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f105,f897]) ).
fof(f919,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f107,f897]) ).
fof(f924,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f725,f897]) ).
fof(f938,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f924,f21]) ).
fof(f958,plain,
complement(sF9) = join(complement(sF9),complement(sF11)),
inference(superposition,[],[f924,f60]) ).
fof(f988,plain,
complement(sF9) = join(complement(sF9),sF12),
inference(forward_demodulation,[],[f958,f62]) ).
fof(f1002,plain,
sK1 = join(sK1,sF12),
inference(forward_demodulation,[],[f988,f902]) ).
fof(f1036,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f938,f924]) ).
fof(f1043,plain,
complement(sF6) = join(complement(sF6),complement(sF7)),
inference(superposition,[],[f938,f52]) ).
fof(f1044,plain,
complement(sF10) = join(complement(sF10),complement(sF11)),
inference(superposition,[],[f938,f60]) ).
fof(f1045,plain,
complement(sF8) = join(complement(sF8),complement(sF14)),
inference(superposition,[],[f938,f66]) ).
fof(f1075,plain,
sF7 = join(sF7,complement(sF14)),
inference(forward_demodulation,[],[f1045,f906]) ).
fof(f1076,plain,
complement(sF10) = join(complement(sF10),sF12),
inference(forward_demodulation,[],[f1044,f62]) ).
fof(f1077,plain,
complement(sF6) = join(complement(sF6),sF8),
inference(forward_demodulation,[],[f1043,f54]) ).
fof(f1079,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),X0),
inference(forward_demodulation,[],[f1036,f897]) ).
fof(f1091,plain,
sK2 = join(sK2,sF12),
inference(forward_demodulation,[],[f1076,f903]) ).
fof(f1092,plain,
sF5 = join(sF5,sF8),
inference(forward_demodulation,[],[f1077,f905]) ).
fof(f1094,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f1079,f897]) ).
fof(f1102,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1094,f22]) ).
fof(f1112,plain,
sK2 = join(sF12,sK2),
inference(superposition,[],[f21,f1091]) ).
fof(f1130,plain,
composition(sK0,sK2) = join(sF13,composition(sK0,sK2)),
inference(superposition,[],[f219,f1112]) ).
fof(f1138,plain,
sF5 = join(sF13,sF5),
inference(forward_demodulation,[],[f1130,f48]) ).
fof(f1144,plain,
sK1 = join(sF12,sK1),
inference(superposition,[],[f21,f1002]) ).
fof(f1162,plain,
composition(sK0,sK1) = join(sF13,composition(sK0,sK1)),
inference(superposition,[],[f219,f1144]) ).
fof(f1170,plain,
sF3 = join(sF13,sF3),
inference(forward_demodulation,[],[f1162,f44]) ).
fof(f1200,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(complement(join(complement(X0),X1))),X0)),complement(X0)),
inference(superposition,[],[f916,f725]) ).
fof(f1239,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f107,f916]) ).
fof(f1264,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),X0),
inference(forward_demodulation,[],[f1239,f897]) ).
fof(f1289,plain,
! [X0,X1] : complement(X0) = join(complement(join(join(complement(X0),X1),X0)),complement(X0)),
inference(forward_demodulation,[],[f1200,f897]) ).
fof(f1314,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f1264,f751]) ).
fof(f1327,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X0),join(X1,X0))),complement(X0)),
inference(forward_demodulation,[],[f1289,f22]) ).
fof(f1348,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(forward_demodulation,[],[f1327,f1314]) ).
fof(f2118,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f1102,f910]) ).
fof(f2127,plain,
join(sF6,sF4) = join(sF6,sF7),
inference(superposition,[],[f1102,f52]) ).
fof(f2190,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(forward_demodulation,[],[f2118,f919]) ).
fof(f4194,plain,
complement(sF6) = join(complement(sF7),complement(sF6)),
inference(superposition,[],[f1348,f52]) ).
fof(f4281,plain,
sF5 = join(complement(sF7),sF5),
inference(forward_demodulation,[],[f4194,f905]) ).
fof(f4327,plain,
sF5 = join(sF8,sF5),
inference(forward_demodulation,[],[f4281,f54]) ).
fof(f5019,plain,
complement(sF8) = join(complement(sF5),complement(sF8)),
inference(superposition,[],[f1348,f1092]) ).
fof(f5021,plain,
sF7 = join(complement(sF5),sF7),
inference(forward_demodulation,[],[f5019,f906]) ).
fof(f5026,plain,
sF7 = join(sF6,sF7),
inference(forward_demodulation,[],[f5021,f50]) ).
fof(f5030,plain,
sF7 = join(sF6,sF4),
inference(forward_demodulation,[],[f5026,f2127]) ).
fof(f5049,plain,
complement(sF4) = join(complement(sF7),complement(sF4)),
inference(superposition,[],[f1348,f5030]) ).
fof(f5052,plain,
sF3 = join(complement(sF7),sF3),
inference(forward_demodulation,[],[f5049,f904]) ).
fof(f5063,plain,
sF3 = join(sF8,sF3),
inference(forward_demodulation,[],[f5052,f54]) ).
fof(f22921,plain,
join(sF13,sF5) = join(sF14,sF5),
inference(superposition,[],[f375,f4327]) ).
fof(f22922,plain,
join(sF13,sF3) = join(sF14,sF3),
inference(superposition,[],[f375,f5063]) ).
fof(f23019,plain,
sF3 = join(sF14,sF3),
inference(forward_demodulation,[],[f22922,f1170]) ).
fof(f23020,plain,
sF5 = join(sF14,sF5),
inference(forward_demodulation,[],[f22921,f1138]) ).
fof(f23115,plain,
complement(sF14) = join(complement(sF3),complement(sF14)),
inference(superposition,[],[f2190,f23019]) ).
fof(f23140,plain,
complement(sF14) = join(sF4,complement(sF14)),
inference(forward_demodulation,[],[f23115,f46]) ).
fof(f23192,plain,
complement(sF14) = join(complement(sF5),complement(sF14)),
inference(superposition,[],[f2190,f23020]) ).
fof(f23217,plain,
complement(sF14) = join(sF6,complement(sF14)),
inference(forward_demodulation,[],[f23192,f50]) ).
fof(f24717,plain,
join(sF7,complement(sF14)) = join(sF4,complement(sF14)),
inference(superposition,[],[f373,f23217]) ).
fof(f24773,plain,
complement(sF14) = join(sF7,complement(sF14)),
inference(forward_demodulation,[],[f24717,f23140]) ).
fof(f24785,plain,
sF7 = complement(sF14),
inference(forward_demodulation,[],[f24773,f1075]) ).
fof(f24838,plain,
complement(sF7) = sF14,
inference(superposition,[],[f897,f24785]) ).
fof(f24872,plain,
sF8 = sF14,
inference(forward_demodulation,[],[f24838,f54]) ).
fof(f24904,plain,
$false,
inference(forward_subsumption_resolution,[],[f24872,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL032+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 22:52:11 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 11.56/2.51 % (1863103)Detected formulas, will run a generic FOF schedule.
% 11.56/2.51 % (1863109)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=2012083057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.56/2.51 % (1863114)dis-21_1_sil=8000:lcm=predicate:random_seed=553294271: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)
% 11.56/2.51 % (1863114)Refutation not found, incomplete strategy
% 11.56/2.51 % (1863114)------------------------------
% 11.56/2.51 % (1863114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.51 % (1863114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.51 % (1863114)CaDiCaL version: 2.1.3
% 11.56/2.51 % (1863114)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.51 % (1863114)Time elapsed: 0.002 s
% 11.56/2.51 % (1863114)Peak memory usage: 88 MB
% 11.56/2.51 % (1863114)Instructions burned: 1 (million)
% 11.56/2.51 % (1863108)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=1678399125:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.56/2.51 % (1863112)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2902409145:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.56/2.51 % (1863110)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=1470029928:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.56/2.51 % (1863111)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3171003122:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.56/2.51 % (1863113)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3780787247:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.56/2.51 % (1863111)Refutation not found, incomplete strategy
% 11.56/2.51 % (1863111)------------------------------
% 11.56/2.51 % (1863111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.51 % (1863111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.51 % (1863111)CaDiCaL version: 2.1.3
% 11.56/2.51 % (1863111)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.51 % (1863111)Time elapsed: 0.001 s
% 11.56/2.51 % (1863111)Peak memory usage: 88 MB
% 11.56/2.51 % (1863111)Instructions burned: 1 (million)
% 11.56/2.51 % (1863112)Instruction limit reached!
% 11.56/2.51 % (1863112)------------------------------
% 11.56/2.51 % (1863112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.51 % (1863112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.51 % (1863112)CaDiCaL version: 2.1.3
% 11.56/2.51 % (1863112)Termination reason: Instruction limit
% 11.56/2.51 % (1863112)Termination phase: Saturation
% 11.56/2.51 % (1863112)Time elapsed: 0.065 s
% 11.56/2.51 % (1863112)Peak memory usage: 88 MB
% 11.56/2.51 % (1863112)Instructions burned: 121 (million)
% 11.56/2.51 % (1863113)Instruction limit reached!
% 11.56/2.51 % (1863113)------------------------------
% 11.56/2.51 % (1863113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.51 % (1863113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.51 % (1863113)CaDiCaL version: 2.1.3
% 11.56/2.51 % (1863113)Termination reason: Instruction limit
% 11.56/2.51 % (1863113)Termination phase: Saturation
% 11.56/2.51 % (1863113)Time elapsed: 0.084 s
% 11.56/2.51 % (1863113)Peak memory usage: 90 MB
% 11.56/2.51 % (1863113)Instructions burned: 140 (million)
% 11.56/2.51 % (1863122)lrs+10_1_sil=8000:sp=occurrence:random_seed=167573420:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.56/2.51 % (1863123)lrs+10_1_sil=32000:urr=on:br=off:random_seed=379643901:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.56/2.51 % (1863114)------------------------------
% 11.56/2.51 % (1863114)------------------------------
% 11.56/2.51 % (1863111)------------------------------
% 11.56/2.51 % (1863111)------------------------------
% 11.56/2.51 % (1863123)Instruction limit reached!
% 11.56/2.51 % (1863123)------------------------------
% 11.56/2.51 % (1863123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.51 % (1863123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863123)CaDiCaL version: 2.1.3
% 14.04/2.98 % (1863123)Termination reason: Instruction limit
% 14.04/2.98 % (1863123)Termination phase: Saturation
% 14.04/2.98 % (1863123)Time elapsed: 0.082 s
% 14.04/2.98 % (1863123)Peak memory usage: 89 MB
% 14.04/2.98 % (1863123)Instructions burned: 158 (million)
% 14.04/2.98 % (1863126)lrs+1011_1_sil=32000:sp=occurrence:random_seed=403687327:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 14.04/2.98 % (1863122)Instruction limit reached!
% 14.04/2.98 % (1863122)------------------------------
% 14.04/2.98 % (1863122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.98 % (1863122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863122)CaDiCaL version: 2.1.3
% 14.04/2.98 % (1863122)Termination reason: Instruction limit
% 14.04/2.98 % (1863122)Termination phase: Saturation
% 14.04/2.98 % (1863122)Time elapsed: 0.169 s
% 14.04/2.98 % (1863122)Peak memory usage: 91 MB
% 14.04/2.98 % (1863122)Instructions burned: 286 (million)
% 14.04/2.98 % (1863127)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=3105634636:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.04/2.98 % (1863128)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4038213572:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.04/2.98 % (1863128)Refutation not found, incomplete strategy
% 14.04/2.98 % (1863128)------------------------------
% 14.04/2.98 % (1863128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.98 % (1863128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863128)CaDiCaL version: 2.1.3
% 14.04/2.98 % (1863128)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.98 % (1863128)Time elapsed: 0.002 s
% 14.04/2.98 % (1863128)Peak memory usage: 88 MB
% 14.04/2.98 % (1863128)Instructions burned: 2 (million)
% 14.04/2.98 % (1863130)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=549059352:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.04/2.98 % (1863127)Instruction limit reached!
% 14.04/2.98 % (1863127)------------------------------
% 14.04/2.98 % (1863127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.98 % (1863127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863127)CaDiCaL version: 2.1.3
% 14.04/2.98 % (1863127)Termination reason: Instruction limit
% 14.04/2.98 % (1863127)Termination phase: Saturation
% 14.04/2.98 % (1863127)Time elapsed: 0.151 s
% 14.04/2.98 % (1863127)Peak memory usage: 91 MB
% 14.04/2.98 % (1863127)Instructions burned: 248 (million)
% 14.04/2.98 % (1863126)Instruction limit reached!
% 14.04/2.98 % (1863126)------------------------------
% 14.04/2.98 % (1863126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.98 % (1863126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863126)CaDiCaL version: 2.1.3
% 14.04/2.98 % (1863126)Termination reason: Instruction limit
% 14.04/2.98 % (1863126)Termination phase: Saturation
% 14.04/2.98 % (1863126)Time elapsed: 0.193 s
% 14.04/2.98 % (1863126)Peak memory usage: 92 MB
% 14.04/2.98 % (1863126)Instructions burned: 325 (million)
% 14.04/2.98 % (1863110)Refutation not found, incomplete strategy
% 14.04/2.98 % (1863110)------------------------------
% 14.04/2.98 % (1863110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.98 % (1863110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863110)CaDiCaL version: 2.1.3
% 14.04/2.98 % (1863110)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.98 % (1863110)Time elapsed: 0.595 s
% 14.04/2.98 % (1863110)Peak memory usage: 128 MB
% 14.04/2.98 % (1863110)Instructions burned: 890 (million)
% 14.04/2.98 % (1863128)------------------------------
% 14.04/2.98 % (1863128)------------------------------
% 14.04/2.98 % (1863134)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3954617465:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 14.04/2.98 % (1863134)Refutation not found, incomplete strategy
% 14.04/2.98 % (1863134)------------------------------
% 14.04/2.98 % (1863134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.04/2.98 % (1863134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.98 % (1863134)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863134)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (1863134)Time elapsed: 0.001 s
% 16.46/3.17 % (1863134)Peak memory usage: 88 MB
% 16.46/3.17 % (1863134)Instructions burned: 1 (million)
% 16.46/3.17 % (1863135)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2485561785:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.46/3.17 % (1863135)Refutation not found, incomplete strategy
% 16.46/3.17 % (1863135)------------------------------
% 16.46/3.17 % (1863135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863135)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863135)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (1863135)Time elapsed: 0.001 s
% 16.46/3.17 % (1863135)Peak memory usage: 87 MB
% 16.46/3.17 % (1863135)Instructions burned: 1 (million)
% 16.46/3.17 % (1863137)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4111996960:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.46/3.17 % (1863110)------------------------------
% 16.46/3.17 % (1863110)------------------------------
% 16.46/3.17 % (1863137)Instruction limit reached!
% 16.46/3.17 % (1863137)------------------------------
% 16.46/3.17 % (1863137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863137)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863137)Termination reason: Instruction limit
% 16.46/3.17 % (1863137)Termination phase: Saturation
% 16.46/3.17 % (1863137)Time elapsed: 0.066 s
% 16.46/3.17 % (1863137)Peak memory usage: 89 MB
% 16.46/3.17 % (1863137)Instructions burned: 114 (million)
% 16.46/3.17 % (1863134)------------------------------
% 16.46/3.17 % (1863134)------------------------------
% 16.46/3.17 % (1863135)------------------------------
% 16.46/3.17 % (1863135)------------------------------
% 16.46/3.17 % (1863140)lrs+10_1_sil=8000:sp=occurrence:random_seed=3531137693:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.46/3.17 % (1863141)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2766558335:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 16.46/3.17 % (1863141)Refutation not found, incomplete strategy
% 16.46/3.17 % (1863141)------------------------------
% 16.46/3.17 % (1863141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863141)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863141)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (1863141)Time elapsed: 0.001 s
% 16.46/3.17 % (1863141)Peak memory usage: 88 MB
% 16.46/3.17 % (1863141)Instructions burned: 1 (million)
% 16.46/3.17 % (1863142)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1796042778:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.46/3.17 % (1863143)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=617865897:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 16.46/3.17 % (1863143)Refutation not found, incomplete strategy
% 16.46/3.17 % (1863143)------------------------------
% 16.46/3.17 % (1863143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863143)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863143)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (1863143)Time elapsed: 0.002 s
% 16.46/3.17 % (1863143)Peak memory usage: 88 MB
% 16.46/3.17 % (1863143)Instructions burned: 1 (million)
% 16.46/3.17 % (1863141)------------------------------
% 16.46/3.17 % (1863141)------------------------------
% 16.46/3.17 % (1863143)------------------------------
% 16.46/3.17 % (1863143)------------------------------
% 16.46/3.17 % (1863148)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=39773286:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.46/3.17 % (1863149)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2532387259:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 16.46/3.17 % (1863140)Instruction limit reached!
% 16.46/3.17 % (1863140)------------------------------
% 16.46/3.17 % (1863140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863140)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863140)Termination reason: Instruction limit
% 16.46/3.17 % (1863140)Termination phase: Saturation
% 16.46/3.17 % (1863140)Time elapsed: 0.530 s
% 16.46/3.17 % (1863140)Peak memory usage: 97 MB
% 16.46/3.17 % (1863140)Instructions burned: 907 (million)
% 16.46/3.17 % (1863152)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=2954865397:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 16.46/3.17 % (1863148)Instruction limit reached!
% 16.46/3.17 % (1863148)------------------------------
% 16.46/3.17 % (1863148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863148)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863148)Termination reason: Instruction limit
% 16.46/3.17 % (1863148)Termination phase: Saturation
% 16.46/3.17 % (1863148)Time elapsed: 0.290 s
% 16.46/3.17 % (1863148)Peak memory usage: 90 MB
% 16.46/3.17 % (1863148)Instructions burned: 593 (million)
% 16.46/3.17 % (1863152)Instruction limit reached!
% 16.46/3.17 % (1863152)------------------------------
% 16.46/3.17 % (1863152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863152)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863152)Termination reason: Instruction limit
% 16.46/3.17 % (1863152)Termination phase: Saturation
% 16.46/3.17 % (1863152)Time elapsed: 0.081 s
% 16.46/3.17 % (1863152)Peak memory usage: 91 MB
% 16.46/3.17 % (1863152)Instructions burned: 126 (million)
% 16.46/3.17 % (1863154)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4117325061:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 16.46/3.17 % (1863155)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2423930163:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 16.46/3.17 % (1863154)Instruction limit reached!
% 16.46/3.17 % (1863154)------------------------------
% 16.46/3.17 % (1863154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863154)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863154)Termination reason: Instruction limit
% 16.46/3.17 % (1863154)Termination phase: Saturation
% 16.46/3.17 % (1863154)Time elapsed: 0.079 s
% 16.46/3.17 % (1863154)Peak memory usage: 89 MB
% 16.46/3.17 % (1863154)Instructions burned: 134 (million)
% 16.46/3.17 % (1863155)Refutation not found, incomplete strategy
% 16.46/3.17 % (1863155)------------------------------
% 16.46/3.17 % (1863155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863155)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863155)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (1863155)Time elapsed: 0.001 s
% 16.46/3.17 % (1863155)Peak memory usage: 88 MB
% 16.46/3.17 % (1863108)First to succeed.
% 16.46/3.17 % (1863108)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1863103"
% 16.46/3.17 % (1863130)Instruction limit reached!
% 16.46/3.17 % (1863130)------------------------------
% 16.46/3.17 % (1863130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863130)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863130)Termination reason: Instruction limit
% 16.46/3.17 % (1863130)Termination phase: Saturation
% 16.46/3.17 % (1863130)Time elapsed: 1.455 s
% 16.46/3.17 % (1863130)Peak memory usage: 141 MB
% 16.46/3.17 % (1863130)Instructions burned: 2350 (million)
% 16.46/3.17 % (1863158)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1358532037:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 16.46/3.17 % (1863158)Refutation not found, incomplete strategy
% 16.46/3.17 % (1863158)------------------------------
% 16.46/3.17 % (1863158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (1863158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (1863158)CaDiCaL version: 2.1.3
% 16.46/3.17 % (1863158)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (1863158)Time elapsed: 0.002 s
% 16.46/3.17 % (1863158)Peak memory usage: 88 MB
% 16.46/3.17 % (1863158)Instructions burned: 1 (million)
% 16.46/3.17 % (1863155)------------------------------
% 16.46/3.17 % (1863155)------------------------------
% 16.46/3.17 % (1863159)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3778453993:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 16.46/3.17 % (1863108)Refutation found. Thanks to Tanya!
% 16.46/3.17 % SZS status Theorem for theBenchmark
% 16.46/3.17 % SZS output start Proof for theBenchmark
% See solution above
% 16.92/3.37 % (1863108)------------------------------
% 16.92/3.37 % (1863108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.92/3.37 % (1863108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.37 % (1863108)CaDiCaL version: 2.1.3
% 16.92/3.37 % (1863108)Termination reason: Refutation
% 16.92/3.37 % (1863108)Time elapsed: 1.898 s
% 16.92/3.37 % (1863108)Peak memory usage: 149 MB
% 16.92/3.37 % (1863108)Instructions burned: 3109 (million)
% 16.92/3.37 % (1863108)------------------------------
% 16.92/3.37 % (1863108)------------------------------
% 16.92/3.37 % (1863103)Success in time 2.316 s
% 16.92/3.37 % Vampire exiting
%------------------------------------------------------------------------------