%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL016+3 : 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 : n010.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 12:33:44 PM UTC 2026
% Result : Theorem 6.29s 1.92s
% Output : Refutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 28
% Syntax : Number of formulae : 136 ( 136 unt; 16 def)
% Number of atoms : 136 ( 135 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-2 aty)
% Number of variables : 125 ( 122 !; 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] : meet(composition(X0,X1),complement(composition(X0,X2))) = meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] : meet(composition(X0,X1),complement(composition(X0,X2))) = meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] : meet(composition(X0,X1),complement(composition(X0,X2))) != meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != meet(composition(sK0,meet(sK1,complement(sK2))),complement(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),complement(composition(sK0,sK2))) != meet(composition(sK0,meet(sK1,complement(sK2))),complement(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(complement(composition(sK0,sK2))))) != complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),complement(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 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f52,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF8 = join(sF4,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f54,plain,
join(sF4,sF7) = sF8,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f56,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF10 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f58,plain,
complement(sK1) = sF10,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF11 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f60,plain,
complement(sK2) = 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 = join(sF10,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f64,plain,
join(sF10,sF12) = sF13,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f66,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF15 = composition(sK0,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f68,plain,
composition(sK0,sF14) = sF15,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF16 = complement(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f70,plain,
complement(sF15) = sF16,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF17 = join(sF16,sF7),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f72,plain,
join(sF16,sF7) = sF17,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF18 = complement(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f74,plain,
complement(sF17) = sF18,
inference(reorient_equations,[],[f73]) ).
fof(f75,plain,
sF9 != sF18,
inference(definition_folding,[],[f42,f74,f72,f52,f50,f48,f70,f68,f66,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44]) ).
fof(f118,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f126,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(f151,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f152,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f379,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f118,f26]) ).
fof(f380,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f379,f28]) ).
fof(f391,plain,
one = converse(one),
inference(superposition,[],[f26,f380]) ).
fof(f395,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f380,f391]) ).
fof(f416,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f126,f30]) ).
fof(f427,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f416,f29]) ).
fof(f436,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f427,f29]) ).
fof(f442,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f436,f30]) ).
fof(f459,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f442]) ).
fof(f472,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f459,f28]) ).
fof(f494,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF3,composition(sK0,X0)),
inference(superposition,[],[f472,f44]) ).
fof(f502,plain,
! [X0] : composition(sK0,join(X0,sF14)) = join(composition(sK0,X0),sF15),
inference(superposition,[],[f472,f68]) ).
fof(f543,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(f657,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f395]) ).
fof(f670,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f657,f380]) ).
fof(f692,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f543,f670]) ).
fof(f696,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f692,f23]) ).
fof(f722,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f696,f696]) ).
fof(f723,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f696,f38]) ).
fof(f763,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f723]) ).
fof(f826,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f543,f722]) ).
fof(f844,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f826,f38]) ).
fof(f850,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f844,f763]) ).
fof(f855,plain,
! [X0] : join(sK1,X0) = join(complement(sF10),X0),
inference(superposition,[],[f850,f58]) ).
fof(f857,plain,
! [X0] : join(sF3,X0) = join(complement(sF4),X0),
inference(superposition,[],[f850,f46]) ).
fof(f859,plain,
! [X0] : join(sF6,X0) = join(complement(sF7),X0),
inference(superposition,[],[f850,f52]) ).
fof(f879,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f696,f850]) ).
fof(f891,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f723,f850]) ).
fof(f892,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f891,f723]) ).
fof(f916,plain,
sK2 = complement(sF11),
inference(superposition,[],[f892,f60]) ).
fof(f918,plain,
sF5 = complement(sF6),
inference(superposition,[],[f892,f50]) ).
fof(f919,plain,
sF6 = complement(sF7),
inference(superposition,[],[f892,f52]) ).
fof(f920,plain,
sF8 = complement(sF9),
inference(superposition,[],[f892,f56]) ).
fof(f933,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f151,f892]) ).
fof(f945,plain,
sF5 = sF7,
inference(forward_demodulation,[],[f918,f52]) ).
fof(f946,plain,
sK2 = sF12,
inference(forward_demodulation,[],[f916,f62]) ).
fof(f949,plain,
sF5 = composition(sK0,sF12),
inference(superposition,[],[f48,f946]) ).
fof(f951,plain,
sF7 = composition(sK0,sF12),
inference(forward_demodulation,[],[f949,f945]) ).
fof(f1029,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f879,f21]) ).
fof(f1154,plain,
complement(sF7) = join(complement(sF7),complement(sF8)),
inference(superposition,[],[f1029,f54]) ).
fof(f1190,plain,
complement(sF7) = join(sF6,complement(sF8)),
inference(forward_demodulation,[],[f1154,f859]) ).
fof(f1208,plain,
complement(sF7) = join(sF6,sF9),
inference(forward_demodulation,[],[f1190,f56]) ).
fof(f1222,plain,
sF6 = join(sF6,sF9),
inference(forward_demodulation,[],[f1208,f919]) ).
fof(f1639,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(superposition,[],[f933,f21]) ).
fof(f1684,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(superposition,[],[f152,f933]) ).
fof(f1708,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1684,f850]) ).
fof(f1753,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1708,f22]) ).
fof(f1777,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1753,f696]) ).
fof(f1797,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1777,f21]) ).
fof(f2016,plain,
join(complement(sF4),sF7) = join(sF7,complement(sF8)),
inference(superposition,[],[f1797,f54]) ).
fof(f2018,plain,
join(complement(sF10),sF12) = join(sF12,complement(sF13)),
inference(superposition,[],[f1797,f64]) ).
fof(f2088,plain,
join(complement(sF10),sF12) = join(sF12,sF14),
inference(forward_demodulation,[],[f2018,f66]) ).
fof(f2090,plain,
join(complement(sF4),sF7) = join(sF7,sF9),
inference(forward_demodulation,[],[f2016,f56]) ).
fof(f2123,plain,
join(sF12,sF14) = join(sK1,sF12),
inference(forward_demodulation,[],[f2088,f855]) ).
fof(f2125,plain,
join(sF7,sF9) = join(sF3,sF7),
inference(forward_demodulation,[],[f2090,f857]) ).
fof(f2167,plain,
join(sF3,composition(sK0,sF12)) = composition(sK0,join(sF12,sF14)),
inference(superposition,[],[f494,f2123]) ).
fof(f2183,plain,
join(sF3,composition(sK0,sF12)) = join(composition(sK0,sF12),sF15),
inference(forward_demodulation,[],[f2167,f502]) ).
fof(f2186,plain,
join(sF3,sF7) = join(sF7,sF15),
inference(forward_demodulation,[],[f2183,f951]) ).
fof(f2188,plain,
join(sF7,sF9) = join(sF7,sF15),
inference(forward_demodulation,[],[f2186,f2125]) ).
fof(f2586,plain,
complement(sF9) = join(complement(join(complement(sF7),sF9)),complement(join(sF7,sF15))),
inference(superposition,[],[f1639,f2188]) ).
fof(f2591,plain,
complement(sF9) = join(complement(join(sF6,sF9)),complement(join(sF7,sF15))),
inference(forward_demodulation,[],[f2586,f859]) ).
fof(f2597,plain,
complement(sF9) = join(complement(sF6),complement(join(sF7,sF15))),
inference(forward_demodulation,[],[f2591,f1222]) ).
fof(f2601,plain,
complement(sF9) = join(sF7,complement(join(sF7,sF15))),
inference(forward_demodulation,[],[f2597,f52]) ).
fof(f2603,plain,
complement(sF9) = join(complement(sF15),sF7),
inference(forward_demodulation,[],[f2601,f1777]) ).
fof(f2604,plain,
join(sF16,sF7) = complement(sF9),
inference(forward_demodulation,[],[f2603,f70]) ).
fof(f2605,plain,
sF8 = join(sF16,sF7),
inference(forward_demodulation,[],[f2604,f920]) ).
fof(f2606,plain,
sF8 = sF17,
inference(forward_demodulation,[],[f2605,f72]) ).
fof(f2607,plain,
complement(sF8) = sF18,
inference(superposition,[],[f74,f2606]) ).
fof(f2608,plain,
sF9 = sF18,
inference(forward_demodulation,[],[f2607,f56]) ).
fof(f2609,plain,
$false,
inference(forward_subsumption_resolution,[],[f2608,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL016+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n010.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 22:51:46 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
% 6.29/1.92 % (1387187)Detected formulas, will run a generic FOF schedule.
% 6.29/1.92 % (1387243)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=866392488:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 6.29/1.92 % (1387244)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3604319858:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 6.29/1.92 % (1387239)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=812200656:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 6.29/1.92 % (1387245)dis-21_1_sil=8000:lcm=predicate:random_seed=1220713668:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 6.29/1.92 % (1387241)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=4238612858:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 6.29/1.92 % (1387242)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2416486162:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 6.29/1.92 % (1387240)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=3619888870:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 6.29/1.92 % (1387245)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387245)------------------------------
% 6.29/1.92 % (1387245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387242)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387242)------------------------------
% 6.29/1.92 % (1387242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387245)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387242)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387245)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387245)Time elapsed: 0.002 s
% 6.29/1.92 % (1387242)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387242)Time elapsed: 0.002 s
% 6.29/1.92 % (1387242)Peak memory usage: 88 MB
% 6.29/1.92 % (1387245)Peak memory usage: 88 MB
% 6.29/1.92 % (1387245)Instructions burned: 1 (million)
% 6.29/1.92 % (1387242)Instructions burned: 1 (million)
% 6.29/1.92 % (1387243)Instruction limit reached!
% 6.29/1.92 % (1387243)------------------------------
% 6.29/1.92 % (1387243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387243)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387243)Termination reason: Instruction limit
% 6.29/1.92 % (1387243)Termination phase: Saturation
% 6.29/1.92 % (1387243)Time elapsed: 0.064 s
% 6.29/1.92 % (1387243)Peak memory usage: 88 MB
% 6.29/1.92 % (1387243)Instructions burned: 121 (million)
% 6.29/1.92 % (1387244)Instruction limit reached!
% 6.29/1.92 % (1387244)------------------------------
% 6.29/1.92 % (1387244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387244)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387244)Termination reason: Instruction limit
% 6.29/1.92 % (1387244)Termination phase: Saturation
% 6.29/1.92 % (1387244)Time elapsed: 0.082 s
% 6.29/1.92 % (1387244)Peak memory usage: 89 MB
% 6.29/1.92 % (1387244)Instructions burned: 140 (million)
% 6.29/1.92 % (1387253)lrs+10_1_sil=8000:sp=occurrence:random_seed=1665319024:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.29/1.92 % (1387254)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1963526709:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.29/1.92 % (1387245)------------------------------
% 6.29/1.92 % (1387245)------------------------------
% 6.29/1.92 % (1387242)------------------------------
% 6.29/1.92 % (1387242)------------------------------
% 6.29/1.92 % (1387254)Instruction limit reached!
% 6.29/1.92 % (1387254)------------------------------
% 6.29/1.92 % (1387254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387254)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387254)Termination reason: Instruction limit
% 6.29/1.92 % (1387254)Termination phase: Saturation
% 6.29/1.92 % (1387254)Time elapsed: 0.051 s
% 6.29/1.92 % (1387254)Peak memory usage: 90 MB
% 6.29/1.92 % (1387254)Instructions burned: 161 (million)
% 6.29/1.92 % (1387253)Instruction limit reached!
% 6.29/1.92 % (1387253)------------------------------
% 6.29/1.92 % (1387253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387253)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387253)Termination reason: Instruction limit
% 6.29/1.92 % (1387253)Termination phase: Saturation
% 6.29/1.92 % (1387253)Time elapsed: 0.170 s
% 6.29/1.92 % (1387253)Peak memory usage: 91 MB
% 6.29/1.92 % (1387253)Instructions burned: 286 (million)
% 6.29/1.92 % (1387258)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=28130520:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.29/1.92 % (1387257)lrs+1011_1_sil=32000:sp=occurrence:random_seed=654294996:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.29/1.92 % (1387259)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3433529614:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.29/1.92 % (1387259)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387259)------------------------------
% 6.29/1.92 % (1387259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387259)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387259)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387259)Time elapsed: 0.001 s
% 6.29/1.92 % (1387259)Peak memory usage: 88 MB
% 6.29/1.92 % (1387259)Instructions burned: 2 (million)
% 6.29/1.92 % (1387259)------------------------------
% 6.29/1.92 % (1387259)------------------------------
% 6.29/1.92 % (1387258)Instruction limit reached!
% 6.29/1.92 % (1387258)------------------------------
% 6.29/1.92 % (1387258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387258)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387258)Termination reason: Instruction limit
% 6.29/1.92 % (1387258)Termination phase: Saturation
% 6.29/1.92 % (1387258)Time elapsed: 0.159 s
% 6.29/1.92 % (1387258)Peak memory usage: 91 MB
% 6.29/1.92 % (1387258)Instructions burned: 250 (million)
% 6.29/1.92 % (1387260)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2592000984:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.29/1.92 % (1387257)Instruction limit reached!
% 6.29/1.92 % (1387257)------------------------------
% 6.29/1.92 % (1387257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387257)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387257)Termination reason: Instruction limit
% 6.29/1.92 % (1387257)Termination phase: Saturation
% 6.29/1.92 % (1387257)Time elapsed: 0.195 s
% 6.29/1.92 % (1387257)Peak memory usage: 92 MB
% 6.29/1.92 % (1387257)Instructions burned: 326 (million)
% 6.29/1.92 % (1387241)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387241)------------------------------
% 6.29/1.92 % (1387241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387241)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387241)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387241)Time elapsed: 0.597 s
% 6.29/1.92 % (1387241)Peak memory usage: 126 MB
% 6.29/1.92 % (1387241)Instructions burned: 887 (million)
% 6.29/1.92 % (1387264)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=139699994:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.29/1.92 % (1387264)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387264)------------------------------
% 6.29/1.92 % (1387264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387264)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387264)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387264)Time elapsed: 0.001 s
% 6.29/1.92 % (1387264)Peak memory usage: 88 MB
% 6.29/1.92 % (1387264)Instructions burned: 2 (million)
% 6.29/1.92 % (1387266)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2066113943:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.29/1.92 % (1387266)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387266)------------------------------
% 6.29/1.92 % (1387266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387266)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387266)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387266)Time elapsed: 0.001 s
% 6.29/1.92 % (1387266)Peak memory usage: 87 MB
% 6.29/1.92 % (1387266)Instructions burned: 1 (million)
% 6.29/1.92 % (1387267)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=527112499:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.29/1.92 % (1387264)------------------------------
% 6.29/1.92 % (1387264)------------------------------
% 6.29/1.92 % (1387267)Instruction limit reached!
% 6.29/1.92 % (1387267)------------------------------
% 6.29/1.92 % (1387267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387267)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387267)Termination reason: Instruction limit
% 6.29/1.92 % (1387267)Termination phase: Saturation
% 6.29/1.92 % (1387267)Time elapsed: 0.067 s
% 6.29/1.92 % (1387267)Peak memory usage: 89 MB
% 6.29/1.92 % (1387267)Instructions burned: 115 (million)
% 6.29/1.92 % (1387241)------------------------------
% 6.29/1.92 % (1387241)------------------------------
% 6.29/1.92 % (1387239)First to succeed.
% 6.29/1.92 % (1387239)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1387187"
% 6.29/1.92 % (1387271)lrs+10_1_sil=8000:sp=occurrence:random_seed=1506263711:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.29/1.92 % (1387266)------------------------------
% 6.29/1.92 % (1387266)------------------------------
% 6.29/1.92 % (1387272)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1165223220:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.29/1.92 % (1387272)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387272)------------------------------
% 6.29/1.92 % (1387272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387272)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387272)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387272)Time elapsed: 0.002 s
% 6.29/1.92 % (1387272)Peak memory usage: 88 MB
% 6.29/1.92 % (1387272)Instructions burned: 1 (million)
% 6.29/1.92 % (1387273)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1048245722:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.29/1.92 % (1387275)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=858434799:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 6.29/1.92 % (1387275)Refutation not found, incomplete strategy
% 6.29/1.92 % (1387275)------------------------------
% 6.29/1.92 % (1387275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.92 % (1387275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.92 % (1387275)CaDiCaL version: 2.1.3
% 6.29/1.92 % (1387275)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.92 % (1387275)Time elapsed: 0.002 s
% 6.29/1.92 % (1387275)Peak memory usage: 88 MB
% 6.29/1.92 % (1387275)Instructions burned: 2 (million)
% 6.29/1.92 % (1387239)Refutation found. Thanks to Tanya!
% 6.29/1.92 % SZS status Theorem for theBenchmark
% 6.29/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 9.52/2.12 % (1387239)------------------------------
% 9.52/2.12 % (1387239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.12 % (1387239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.12 % (1387239)CaDiCaL version: 2.1.3
% 9.52/2.12 % (1387239)Termination reason: Refutation
% 9.52/2.12 % (1387239)Time elapsed: 0.870 s
% 9.52/2.12 % (1387239)Peak memory usage: 131 MB
% 9.52/2.12 % (1387239)Instructions burned: 1330 (million)
% 9.52/2.12 % (1387239)------------------------------
% 9.52/2.12 % (1387239)------------------------------
% 9.52/2.12 % (1387187)Success in time 1.293 s
% 9.52/2.12 % Vampire exiting
%------------------------------------------------------------------------------