%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL021+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:33:48 PM UTC 2026
% Result : Theorem 10.18s 2.19s
% Output : Refutation 10.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 26
% Syntax : Number of formulae : 310 ( 306 unt; 10 def)
% Number of atoms : 314 ( 313 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 324 ( 322 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dedekind_law) ).
fof(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1] :
( composition(X0,top) = X0
=> join(composition(meet(X0,one),X1),meet(X0,X1)) = meet(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( composition(X0,top) = X0
=> join(composition(meet(X0,one),X1),meet(X0,X1)) = meet(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( meet(X0,X1) != join(composition(meet(X0,one),X1),meet(X0,X1))
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( meet(sK0,sK1) != join(composition(meet(sK0,one),sK1),meet(sK0,sK1))
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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(f25,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
meet(sK0,sK1) != join(composition(meet(sK0,one),sK1),meet(sK0,sK1)),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f40,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f34,f24,f24,f24,f24,f24]) ).
fof(f41,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f35,f24,f24,f24,f24,f24]) ).
fof(f43,plain,
complement(join(complement(sK0),complement(sK1))) != join(composition(complement(join(complement(sK0),complement(one))),sK1),complement(join(complement(sK0),complement(sK1)))),
inference(definition_unfolding,[],[f38,f24,f24,f24]) ).
fof(f44,definition,
sF2 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
complement(sK0) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f49,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF6 = complement(one),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f53,plain,
complement(one) = sF6,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF7 = join(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f55,plain,
join(sF2,sF6) = sF7,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f57,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF9 = composition(sF8,sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f59,plain,
composition(sF8,sK1) = sF9,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF10 = join(sF9,sF5),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f61,plain,
join(sF9,sF5) = sF10,
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
sF5 != sF10,
inference(definition_folding,[],[f43,f61,f51,f49,f47,f45,f59,f57,f55,f53,f45,f51,f49,f47,f45]) ).
fof(f63,definition,
sF11 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f64,plain,
composition(sK0,top) = sF11,
inference(reorient_equations,[],[f63]) ).
fof(f65,plain,
sK0 = sF11,
inference(definition_folding,[],[f37,f64]) ).
fof(f66,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f64,f65]) ).
fof(f75,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f79,plain,
top = join(sK0,sF2),
inference(superposition,[],[f32,f45]) ).
fof(f96,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f97,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f98,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f104,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f30,f28]) ).
fof(f105,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f106,plain,
! [X0] : composition(join(sK0,X0),top) = join(sK0,composition(X0,top)),
inference(superposition,[],[f27,f66]) ).
fof(f108,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(f139,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f98,f21]) ).
fof(f232,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f108,f30]) ).
fof(f241,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f232,f29]) ).
fof(f244,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f241,f29]) ).
fof(f246,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f244,f30]) ).
fof(f255,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f259,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(f276,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f341,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f246]) ).
fof(f352,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f341,f28]) ).
fof(f366,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f352,f26]) ).
fof(f368,plain,
! [X0] : composition(sK0,join(top,X0)) = join(sK0,composition(sK0,X0)),
inference(superposition,[],[f352,f66]) ).
fof(f372,plain,
! [X0] : composition(sK0,join(X0,top)) = join(composition(sK0,X0),sK0),
inference(superposition,[],[f352,f66]) ).
fof(f380,plain,
! [X2,X0,X1] : join(composition(X0,X2),composition(X0,X1)) = composition(X0,join(X1,X2)),
inference(superposition,[],[f21,f352]) ).
fof(f381,plain,
! [X2,X0,X1] : composition(X0,join(X2,X1)) = composition(X0,join(X1,X2)),
inference(forward_demodulation,[],[f380,f352]) ).
fof(f412,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f581,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f105,f26]) ).
fof(f595,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f581,f28]) ).
fof(f609,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f27,f595]) ).
fof(f617,plain,
one = converse(one),
inference(superposition,[],[f26,f595]) ).
fof(f625,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f609,f617]) ).
fof(f632,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f595,f617]) ).
fof(f648,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f632]) ).
fof(f661,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f648,f595]) ).
fof(f681,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f259,f661]) ).
fof(f685,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f22,f661]) ).
fof(f688,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f681,f23]) ).
fof(f708,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f688,f688]) ).
fof(f710,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f688,f21]) ).
fof(f713,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f688,f39]) ).
fof(f717,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f276,f688]) ).
fof(f808,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f713]) ).
fof(f895,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f259,f708]) ).
fof(f913,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f895,f39]) ).
fof(f918,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f913,f808]) ).
fof(f922,plain,
! [X0] : join(one,X0) = join(complement(sF6),X0),
inference(superposition,[],[f918,f53]) ).
fof(f923,plain,
! [X0] : join(top,X0) = join(complement(zero),X0),
inference(superposition,[],[f918,f412]) ).
fof(f924,plain,
! [X0] : join(sK0,X0) = join(complement(sF2),X0),
inference(superposition,[],[f918,f45]) ).
fof(f927,plain,
! [X0] : join(sF7,X0) = join(complement(sF8),X0),
inference(superposition,[],[f918,f57]) ).
fof(f945,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f688,f918]) ).
fof(f954,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f21,f918]) ).
fof(f963,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f713,f918]) ).
fof(f964,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f963,f713]) ).
fof(f990,plain,
one = complement(sF6),
inference(superposition,[],[f964,f53]) ).
fof(f991,plain,
top = complement(zero),
inference(superposition,[],[f964,f412]) ).
fof(f992,plain,
sK0 = complement(sF2),
inference(superposition,[],[f964,f45]) ).
fof(f994,plain,
sF4 = complement(sF5),
inference(superposition,[],[f964,f51]) ).
fof(f995,plain,
sF7 = complement(sF8),
inference(superposition,[],[f964,f57]) ).
fof(f1001,plain,
! [X0] : top = join(complement(X0),X0),
inference(superposition,[],[f32,f964]) ).
fof(f1004,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f96,f964]) ).
fof(f1070,plain,
top = join(sF2,sK0),
inference(superposition,[],[f32,f992]) ).
fof(f1095,plain,
! [X0] : zero = join(zero,complement(join(top,X0))),
inference(superposition,[],[f945,f412]) ).
fof(f1103,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f945,f21]) ).
fof(f1125,plain,
complement(sF2) = join(complement(sF2),complement(sF7)),
inference(superposition,[],[f945,f55]) ).
fof(f1161,plain,
complement(sF2) = join(sK0,complement(sF7)),
inference(forward_demodulation,[],[f1125,f924]) ).
fof(f1170,plain,
! [X0] : zero = complement(join(top,X0)),
inference(forward_demodulation,[],[f1095,f808]) ).
fof(f1176,plain,
complement(sF2) = join(sK0,sF8),
inference(forward_demodulation,[],[f1161,f57]) ).
fof(f1185,plain,
sK0 = join(sK0,sF8),
inference(forward_demodulation,[],[f1176,f992]) ).
fof(f1202,plain,
sK0 = join(sF8,sK0),
inference(superposition,[],[f21,f1185]) ).
fof(f1204,plain,
complement(sF8) = join(complement(sF8),complement(sK0)),
inference(superposition,[],[f945,f1202]) ).
fof(f1209,plain,
complement(sF8) = join(sF7,complement(sK0)),
inference(forward_demodulation,[],[f1204,f927]) ).
fof(f1210,plain,
complement(sF8) = join(sF7,sF2),
inference(forward_demodulation,[],[f1209,f45]) ).
fof(f1211,plain,
sF7 = join(sF7,sF2),
inference(forward_demodulation,[],[f1210,f995]) ).
fof(f1230,plain,
! [X0] : complement(zero) = join(complement(zero),complement(X0)),
inference(superposition,[],[f1103,f713]) ).
fof(f1247,plain,
complement(sF6) = join(complement(sF6),complement(sF7)),
inference(superposition,[],[f1103,f55]) ).
fof(f1286,plain,
complement(sF6) = join(one,complement(sF7)),
inference(forward_demodulation,[],[f1247,f922]) ).
fof(f1294,plain,
! [X0] : complement(zero) = join(top,complement(X0)),
inference(forward_demodulation,[],[f1230,f923]) ).
fof(f1304,plain,
complement(sF6) = join(one,sF8),
inference(forward_demodulation,[],[f1286,f57]) ).
fof(f1312,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1294,f991]) ).
fof(f1318,plain,
one = join(one,sF8),
inference(forward_demodulation,[],[f1304,f990]) ).
fof(f1459,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1312,f964]) ).
fof(f1469,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f954,f1312]) ).
fof(f1555,plain,
! [X0,X1] : join(complement(join(complement(join(complement(complement(X1)),X0)),complement(X1))),complement(join(top,X0))) = X1,
inference(superposition,[],[f96,f255]) ).
fof(f1568,plain,
! [X0,X1] : join(complement(join(complement(join(complement(complement(X1)),X0)),complement(X1))),zero) = X1,
inference(forward_demodulation,[],[f1555,f1170]) ).
fof(f1615,plain,
! [X0,X1] : complement(join(complement(join(complement(complement(X1)),X0)),complement(X1))) = X1,
inference(forward_demodulation,[],[f1568,f713]) ).
fof(f1629,plain,
! [X0,X1] : complement(join(complement(join(X1,X0)),complement(X1))) = X1,
inference(forward_demodulation,[],[f1615,f918]) ).
fof(f1652,plain,
! [X0,X1] : composition(X0,one) = join(X0,composition(X0,complement(join(complement(one),X1)))),
inference(superposition,[],[f366,f688]) ).
fof(f1722,plain,
! [X0,X1] : composition(X0,one) = join(X0,composition(X0,complement(join(sF6,X1)))),
inference(forward_demodulation,[],[f1652,f53]) ).
fof(f1737,plain,
! [X0,X1] : join(X0,composition(X0,complement(join(sF6,X1)))) = X0,
inference(forward_demodulation,[],[f1722,f26]) ).
fof(f1836,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF8,X0)),
inference(superposition,[],[f625,f1318]) ).
fof(f1846,plain,
! [X0] : join(X0,composition(sF8,X0)) = X0,
inference(forward_demodulation,[],[f1836,f632]) ).
fof(f1860,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF8,X0),X1)),
inference(superposition,[],[f276,f1846]) ).
fof(f1863,plain,
! [X0] : complement(composition(sF8,X0)) = join(complement(composition(sF8,X0)),complement(X0)),
inference(superposition,[],[f1103,f1846]) ).
fof(f2186,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(superposition,[],[f1004,f21]) ).
fof(f2245,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f1004]) ).
fof(f2253,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f97,f1004]) ).
fof(f2264,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2253,f954]) ).
fof(f2272,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2245,f918]) ).
fof(f2336,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(join(complement(X1),X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f2264,f954]) ).
fof(f2344,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2272,f717]) ).
fof(f2383,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f2336,f22]) ).
fof(f2406,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2383,f2344]) ).
fof(f2415,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2406,f685]) ).
fof(f2421,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2344,f21]) ).
fof(f2424,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = join(complement(join(complement(X1),X0)),X1),
inference(superposition,[],[f2344,f255]) ).
fof(f2439,plain,
! [X0,X1] : join(complement(complement(join(complement(X0),complement(X1)))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(superposition,[],[f2344,f98]) ).
fof(f2461,plain,
join(complement(sF6),sF2) = join(sF2,complement(sF7)),
inference(superposition,[],[f2344,f55]) ).
fof(f2535,plain,
join(complement(sF6),sF2) = join(sF2,sF8),
inference(forward_demodulation,[],[f2461,f57]) ).
fof(f2549,plain,
! [X0,X1] : join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2439,f918]) ).
fof(f2561,plain,
! [X0,X1] : join(X1,zero) = join(complement(join(complement(X1),X0)),X1),
inference(forward_demodulation,[],[f2424,f1170]) ).
fof(f2576,plain,
join(sF2,sF8) = join(one,sF2),
inference(forward_demodulation,[],[f2535,f922]) ).
fof(f2588,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2549,f22]) ).
fof(f2596,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X1) = X1,
inference(forward_demodulation,[],[f2561,f713]) ).
fof(f2611,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2588,f1103]) ).
fof(f2649,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(complement(complement(join(complement(X0),complement(X1)))),complement(join(X1,complement(X0)))),
inference(superposition,[],[f2421,f97]) ).
fof(f2751,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f2649,f918]) ).
fof(f2783,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f2751,f22]) ).
fof(f2804,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X1,complement(X0))),complement(X0)),
inference(forward_demodulation,[],[f2783,f945]) ).
fof(f2852,plain,
! [X0,X1] : join(complement(join(X1,complement(complement(X0)))),X0) = join(complement(join(X1,complement(complement(X0)))),complement(complement(X0))),
inference(superposition,[],[f2415,f710]) ).
fof(f2949,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(complement(join(X1,complement(complement(X0)))),X0),
inference(forward_demodulation,[],[f2852,f2804]) ).
fof(f3008,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f2949,f954]) ).
fof(f3047,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f3008,f918]) ).
fof(f3112,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f2596,f918]) ).
fof(f3169,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,complement(join(complement(top),X0))),sK0),
inference(superposition,[],[f372,f2596]) ).
fof(f3172,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,complement(join(zero,X0))),sK0),
inference(forward_demodulation,[],[f3169,f412]) ).
fof(f3203,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,complement(X0)),sK0),
inference(forward_demodulation,[],[f3172,f808]) ).
fof(f3218,plain,
! [X0] : sK0 = join(composition(sK0,complement(X0)),sK0),
inference(forward_demodulation,[],[f3203,f66]) ).
fof(f3246,plain,
join(sF2,sF8) = join(sF2,one),
inference(superposition,[],[f21,f2576]) ).
fof(f3254,plain,
join(complement(one),sF2) = join(sF2,complement(join(sF2,sF8))),
inference(superposition,[],[f2421,f2576]) ).
fof(f3255,plain,
join(complement(one),sF2) = join(complement(sF8),sF2),
inference(forward_demodulation,[],[f3254,f2344]) ).
fof(f3260,plain,
join(sF7,sF2) = join(complement(one),sF2),
inference(forward_demodulation,[],[f3255,f927]) ).
fof(f3262,plain,
join(sF6,sF2) = join(sF7,sF2),
inference(forward_demodulation,[],[f3260,f53]) ).
fof(f3263,plain,
sF7 = join(sF6,sF2),
inference(forward_demodulation,[],[f3262,f1211]) ).
fof(f3697,plain,
! [X0] : complement(composition(sF8,X0)) = join(complement(join(complement(X0),composition(sF8,X0))),complement(X0)),
inference(superposition,[],[f2186,f1846]) ).
fof(f3725,plain,
complement(sF8) = join(complement(join(complement(sK0),sF8)),complement(sK0)),
inference(superposition,[],[f2186,f1185]) ).
fof(f3817,plain,
complement(sF8) = join(complement(sK0),complement(sF8)),
inference(forward_demodulation,[],[f3725,f2611]) ).
fof(f3840,plain,
! [X0] : complement(composition(sF8,X0)) = join(complement(X0),complement(composition(sF8,X0))),
inference(forward_demodulation,[],[f3697,f2611]) ).
fof(f3911,plain,
sF7 = join(complement(sK0),sF7),
inference(forward_demodulation,[],[f3817,f995]) ).
fof(f3983,plain,
sF7 = join(sF2,sF7),
inference(forward_demodulation,[],[f3911,f45]) ).
fof(f4092,plain,
! [X0] : join(complement(X0),X0) = join(X0,complement(composition(sF8,X0))),
inference(superposition,[],[f3047,f1846]) ).
fof(f4252,plain,
! [X0] : top = join(X0,complement(composition(sF8,X0))),
inference(forward_demodulation,[],[f4092,f1001]) ).
fof(f5308,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f75,f32]) ).
fof(f5373,plain,
composition(sK0,top) = join(sK0,composition(sF8,top)),
inference(superposition,[],[f106,f1185]) ).
fof(f5426,plain,
sK0 = join(sK0,composition(sF8,top)),
inference(forward_demodulation,[],[f5373,f66]) ).
fof(f5458,plain,
! [X0] : sK0 = join(composition(sK0,X0),sK0),
inference(superposition,[],[f3218,f964]) ).
fof(f5571,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(X1,converse(one))))),complement(join(sF6,complement(composition(converse(X0),X1))))) = join(complement(join(complement(composition(X0,one)),complement(X1))),composition(complement(join(complement(X0),complement(composition(X1,converse(one))))),complement(join(sF6,complement(composition(converse(X0),X1)))))),
inference(superposition,[],[f40,f53]) ).
fof(f5645,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(X1,one)))),complement(join(sF6,complement(composition(converse(X0),X1))))) = join(complement(join(complement(composition(X0,one)),complement(X1))),composition(complement(join(complement(X0),complement(composition(X1,one)))),complement(join(sF6,complement(composition(converse(X0),X1)))))),
inference(forward_demodulation,[],[f5571,f617]) ).
fof(f5695,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(X1))),complement(join(sF6,complement(composition(converse(X0),X1))))) = join(complement(join(complement(composition(X0,one)),complement(X1))),composition(complement(join(complement(X0),complement(X1))),complement(join(sF6,complement(composition(converse(X0),X1)))))),
inference(forward_demodulation,[],[f5645,f26]) ).
fof(f5729,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(X1))),complement(join(sF6,complement(composition(converse(X0),X1))))) = join(complement(join(complement(X0),complement(X1))),composition(complement(join(complement(X0),complement(X1))),complement(join(sF6,complement(composition(converse(X0),X1)))))),
inference(forward_demodulation,[],[f5695,f26]) ).
fof(f5749,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = composition(complement(join(complement(X0),complement(X1))),complement(join(sF6,complement(composition(converse(X0),X1))))),
inference(forward_demodulation,[],[f5729,f1737]) ).
fof(f9958,plain,
! [X0,X1] : join(composition(sF8,X1),X0) = join(X0,composition(sF8,join(X0,X1))),
inference(superposition,[],[f1860,f352]) ).
fof(f13959,plain,
! [X0] : composition(sK0,join(top,X0)) = join(composition(sK0,X0),sK0),
inference(superposition,[],[f372,f381]) ).
fof(f13971,plain,
! [X0] : sK0 = composition(sK0,join(top,X0)),
inference(forward_demodulation,[],[f13959,f5458]) ).
fof(f14042,plain,
! [X0] : sK0 = join(sK0,composition(sK0,X0)),
inference(forward_demodulation,[],[f13971,f368]) ).
fof(f14578,plain,
! [X0] : complement(join(top,X0)) = join(composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),complement(join(top,X0))),
inference(superposition,[],[f31,f368]) ).
fof(f14599,plain,
! [X0] : zero = join(composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),zero),
inference(forward_demodulation,[],[f14578,f1170]) ).
fof(f14644,plain,
! [X0] : zero = composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),
inference(forward_demodulation,[],[f14599,f713]) ).
fof(f14670,plain,
zero = composition(converse(sK0),complement(sK0)),
inference(forward_demodulation,[],[f14644,f14042]) ).
fof(f14680,plain,
zero = composition(converse(sK0),sF2),
inference(forward_demodulation,[],[f14670,f45]) ).
fof(f14700,plain,
! [X0] : composition(converse(sK0),join(sF2,X0)) = join(zero,composition(converse(sK0),X0)),
inference(superposition,[],[f352,f14680]) ).
fof(f14702,plain,
composition(converse(sK0),join(one,sF2)) = join(converse(sK0),zero),
inference(superposition,[],[f366,f14680]) ).
fof(f14707,plain,
converse(sK0) = composition(converse(sK0),join(one,sF2)),
inference(forward_demodulation,[],[f14702,f713]) ).
fof(f14709,plain,
! [X0] : composition(converse(sK0),X0) = composition(converse(sK0),join(sF2,X0)),
inference(forward_demodulation,[],[f14700,f808]) ).
fof(f14720,plain,
converse(sK0) = composition(converse(sK0),join(sF2,sF8)),
inference(forward_demodulation,[],[f14707,f2576]) ).
fof(f14728,plain,
converse(sK0) = composition(converse(sK0),sF8),
inference(forward_demodulation,[],[f14720,f14709]) ).
fof(f21893,plain,
join(sK0,composition(sF8,top)) = join(composition(sF8,sF2),sK0),
inference(superposition,[],[f9958,f79]) ).
fof(f21898,plain,
sK0 = join(composition(sF8,sF2),sK0),
inference(forward_demodulation,[],[f21893,f5426]) ).
fof(f21960,plain,
composition(sF8,sF2) = complement(join(complement(sK0),complement(composition(sF8,sF2)))),
inference(superposition,[],[f1629,f21898]) ).
fof(f21997,plain,
composition(sF8,sF2) = complement(join(sF2,complement(composition(sF8,sF2)))),
inference(forward_demodulation,[],[f21960,f45]) ).
fof(f22013,plain,
complement(top) = composition(sF8,sF2),
inference(forward_demodulation,[],[f21997,f4252]) ).
fof(f22022,plain,
zero = composition(sF8,sF2),
inference(forward_demodulation,[],[f22013,f412]) ).
fof(f22039,plain,
! [X0] : join(zero,composition(sF8,X0)) = composition(sF8,join(sF2,X0)),
inference(superposition,[],[f352,f22022]) ).
fof(f22040,plain,
! [X0] : join(composition(sF8,X0),zero) = composition(sF8,join(X0,sF2)),
inference(superposition,[],[f352,f22022]) ).
fof(f22047,plain,
! [X0] : composition(sF8,X0) = composition(sF8,join(X0,sF2)),
inference(forward_demodulation,[],[f22040,f713]) ).
fof(f22048,plain,
! [X0] : composition(sF8,X0) = composition(sF8,join(sF2,X0)),
inference(forward_demodulation,[],[f22039,f808]) ).
fof(f22456,plain,
composition(sF8,one) = composition(sF8,join(sF2,sF8)),
inference(superposition,[],[f22048,f3246]) ).
fof(f22457,plain,
composition(sF8,top) = composition(sF8,sK0),
inference(superposition,[],[f22048,f1070]) ).
fof(f22476,plain,
! [X0] : composition(sF8,join(complement(X0),sF2)) = composition(sF8,complement(join(sF2,X0))),
inference(superposition,[],[f22048,f2344]) ).
fof(f22539,plain,
! [X0] : composition(sF8,complement(X0)) = composition(sF8,complement(join(sF2,X0))),
inference(forward_demodulation,[],[f22476,f22047]) ).
fof(f22552,plain,
composition(sF8,one) = composition(sF8,sF8),
inference(forward_demodulation,[],[f22456,f22048]) ).
fof(f22574,plain,
sF8 = composition(sF8,sF8),
inference(forward_demodulation,[],[f22552,f26]) ).
fof(f22584,plain,
! [X0] : composition(sF8,X0) = composition(sF8,composition(sF8,X0)),
inference(superposition,[],[f25,f22574]) ).
fof(f22796,plain,
! [X0] : composition(sF8,join(X0,top)) = join(composition(sF8,X0),composition(sF8,sK0)),
inference(superposition,[],[f352,f22457]) ).
fof(f22803,plain,
! [X0] : composition(sF8,join(X0,top)) = composition(sF8,join(X0,sK0)),
inference(forward_demodulation,[],[f22796,f352]) ).
fof(f22817,plain,
! [X0] : composition(sF8,top) = composition(sF8,join(X0,sK0)),
inference(forward_demodulation,[],[f22803,f1469]) ).
fof(f22827,plain,
! [X0] : composition(sF8,sK0) = composition(sF8,join(X0,sK0)),
inference(forward_demodulation,[],[f22817,f22457]) ).
fof(f22891,plain,
composition(converse(sF8),sK0) = converse(converse(sK0)),
inference(superposition,[],[f105,f14728]) ).
fof(f22921,plain,
sK0 = composition(converse(sF8),sK0),
inference(forward_demodulation,[],[f22891,f28]) ).
fof(f24899,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(complement(converse(top)),X0),
inference(superposition,[],[f3047,f5308]) ).
fof(f24938,plain,
top = converse(top),
inference(superposition,[],[f1459,f5308]) ).
fof(f24985,plain,
! [X0] : join(complement(top),X0) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f24899,f24938]) ).
fof(f25044,plain,
! [X0] : join(zero,X0) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f24985,f412]) ).
fof(f25079,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f25044,f808]) ).
fof(f25178,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f139,f25079]) ).
fof(f25210,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f75,f25079]) ).
fof(f25229,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f25210,f28]) ).
fof(f25259,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f25178,f954]) ).
fof(f25299,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f25259,f2415]) ).
fof(f25318,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f25299,f25229]) ).
fof(f25343,plain,
sF5 = converse(complement(converse(sF4))),
inference(superposition,[],[f25318,f994]) ).
fof(f25344,plain,
sF6 = converse(complement(converse(one))),
inference(superposition,[],[f25318,f990]) ).
fof(f25349,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f28,f25318]) ).
fof(f25372,plain,
sF6 = converse(complement(one)),
inference(forward_demodulation,[],[f25344,f617]) ).
fof(f25382,plain,
sF6 = converse(sF6),
inference(forward_demodulation,[],[f25372,f53]) ).
fof(f25399,plain,
converse(sF2) = complement(converse(sK0)),
inference(superposition,[],[f25349,f992]) ).
fof(f25405,plain,
converse(sF8) = complement(converse(sF7)),
inference(superposition,[],[f25349,f995]) ).
fof(f25588,plain,
! [X0] : join(sF6,converse(X0)) = converse(join(sF6,X0)),
inference(superposition,[],[f75,f25382]) ).
fof(f28771,plain,
complement(join(complement(sK0),complement(sF8))) = composition(complement(join(complement(sK0),complement(sF8))),complement(join(sF6,complement(converse(sK0))))),
inference(superposition,[],[f5749,f14728]) ).
fof(f28805,plain,
complement(join(complement(sK0),complement(sF8))) = composition(complement(join(complement(sK0),complement(sF8))),complement(join(sF6,converse(sF2)))),
inference(forward_demodulation,[],[f28771,f25399]) ).
fof(f28870,plain,
complement(join(complement(sK0),complement(sF8))) = composition(complement(join(complement(sK0),complement(sF8))),complement(converse(join(sF6,sF2)))),
inference(forward_demodulation,[],[f28805,f25588]) ).
fof(f28901,plain,
complement(join(complement(sK0),complement(sF8))) = composition(complement(join(complement(sK0),complement(sF8))),complement(converse(sF7))),
inference(forward_demodulation,[],[f28870,f3263]) ).
fof(f28919,plain,
complement(join(complement(sK0),complement(sF8))) = composition(complement(join(complement(sK0),complement(sF8))),converse(sF8)),
inference(forward_demodulation,[],[f28901,f25405]) ).
fof(f28931,plain,
complement(join(complement(sK0),sF7)) = composition(complement(join(complement(sK0),sF7)),converse(sF8)),
inference(forward_demodulation,[],[f28919,f995]) ).
fof(f28937,plain,
complement(join(sF2,sF7)) = composition(complement(join(sF2,sF7)),converse(sF8)),
inference(forward_demodulation,[],[f28931,f45]) ).
fof(f28941,plain,
complement(sF7) = composition(complement(sF7),converse(sF8)),
inference(forward_demodulation,[],[f28937,f3983]) ).
fof(f28943,plain,
sF8 = composition(sF8,converse(sF8)),
inference(forward_demodulation,[],[f28941,f57]) ).
fof(f28948,plain,
sF8 = converse(sF8),
inference(superposition,[],[f104,f28943]) ).
fof(f29004,plain,
sK0 = composition(sF8,sK0),
inference(superposition,[],[f22921,f28948]) ).
fof(f29044,plain,
! [X0] : complement(join(complement(composition(sF8,complement(join(complement(sK0),complement(composition(converse(sF8),X0)))))),complement(X0))) = join(complement(join(complement(sK0),complement(X0))),complement(join(complement(composition(sF8,complement(join(complement(sK0),complement(composition(converse(sF8),X0)))))),complement(X0)))),
inference(superposition,[],[f41,f29004]) ).
fof(f29050,plain,
! [X0] : join(composition(sF8,X0),sK0) = composition(sF8,join(X0,sK0)),
inference(superposition,[],[f352,f29004]) ).
fof(f29056,plain,
! [X0] : composition(sF8,sK0) = join(composition(sF8,X0),sK0),
inference(forward_demodulation,[],[f29050,f22827]) ).
fof(f29062,plain,
! [X0] : complement(join(complement(composition(sF8,complement(join(complement(sK0),complement(composition(sF8,X0)))))),complement(X0))) = join(complement(join(complement(sK0),complement(X0))),complement(join(complement(composition(sF8,complement(join(complement(sK0),complement(composition(sF8,X0)))))),complement(X0)))),
inference(forward_demodulation,[],[f29044,f28948]) ).
fof(f29067,plain,
! [X0] : sK0 = join(composition(sF8,X0),sK0),
inference(forward_demodulation,[],[f29056,f29004]) ).
fof(f29073,plain,
! [X0] : complement(join(complement(composition(sF8,complement(join(sF2,complement(composition(sF8,X0)))))),complement(X0))) = join(complement(join(sF2,complement(X0))),complement(join(complement(composition(sF8,complement(join(sF2,complement(composition(sF8,X0)))))),complement(X0)))),
inference(forward_demodulation,[],[f29062,f45]) ).
fof(f29076,plain,
! [X0] : complement(join(complement(composition(sF8,complement(complement(composition(sF8,X0))))),complement(X0))) = join(complement(join(sF2,complement(X0))),complement(join(complement(composition(sF8,complement(complement(composition(sF8,X0))))),complement(X0)))),
inference(forward_demodulation,[],[f29073,f22539]) ).
fof(f29079,plain,
! [X0] : complement(join(complement(composition(sF8,composition(sF8,X0))),complement(X0))) = join(complement(join(sF2,complement(X0))),complement(join(complement(composition(sF8,composition(sF8,X0))),complement(X0)))),
inference(forward_demodulation,[],[f29076,f964]) ).
fof(f29081,plain,
! [X0] : complement(join(complement(composition(sF8,X0)),complement(X0))) = join(complement(join(sF2,complement(X0))),complement(join(complement(composition(sF8,X0)),complement(X0)))),
inference(forward_demodulation,[],[f29079,f22584]) ).
fof(f29083,plain,
! [X0] : complement(complement(composition(sF8,X0))) = join(complement(join(sF2,complement(X0))),complement(complement(composition(sF8,X0)))),
inference(forward_demodulation,[],[f29081,f1863]) ).
fof(f29084,plain,
! [X0] : complement(complement(composition(sF8,X0))) = join(composition(sF8,X0),complement(join(sF2,complement(X0)))),
inference(forward_demodulation,[],[f29083,f954]) ).
fof(f29085,plain,
! [X0] : composition(sF8,X0) = join(composition(sF8,X0),complement(join(sF2,complement(X0)))),
inference(forward_demodulation,[],[f29084,f964]) ).
fof(f29135,plain,
! [X0] : complement(composition(sF8,X0)) = join(complement(sK0),complement(composition(sF8,X0))),
inference(superposition,[],[f3112,f29067]) ).
fof(f29154,plain,
! [X0] : complement(composition(sF8,X0)) = join(sF2,complement(composition(sF8,X0))),
inference(forward_demodulation,[],[f29135,f45]) ).
fof(f29252,plain,
composition(sF8,sK1) = join(composition(sF8,sK1),complement(join(sF2,sF3))),
inference(superposition,[],[f29085,f47]) ).
fof(f29277,plain,
! [X0] : join(sF2,complement(X0)) = join(join(sF2,complement(X0)),complement(composition(sF8,X0))),
inference(superposition,[],[f710,f29085]) ).
fof(f29318,plain,
! [X0] : join(sF2,complement(X0)) = join(sF2,join(complement(X0),complement(composition(sF8,X0)))),
inference(forward_demodulation,[],[f29277,f22]) ).
fof(f29338,plain,
composition(sF8,sK1) = join(composition(sF8,sK1),complement(sF4)),
inference(forward_demodulation,[],[f29252,f49]) ).
fof(f29369,plain,
! [X0] : join(sF2,complement(X0)) = join(sF2,complement(composition(sF8,X0))),
inference(forward_demodulation,[],[f29318,f3840]) ).
fof(f29381,plain,
composition(sF8,sK1) = join(composition(sF8,sK1),sF5),
inference(forward_demodulation,[],[f29338,f51]) ).
fof(f29397,plain,
! [X0] : join(sF2,complement(X0)) = complement(composition(sF8,X0)),
inference(forward_demodulation,[],[f29369,f29154]) ).
fof(f29404,plain,
sF9 = join(sF9,sF5),
inference(forward_demodulation,[],[f29381,f59]) ).
fof(f29419,plain,
sF9 = sF10,
inference(forward_demodulation,[],[f29404,f61]) ).
fof(f29433,plain,
sF5 != sF9,
inference(superposition,[],[f62,f29419]) ).
fof(f29486,plain,
join(sF2,sF3) = complement(composition(sF8,sK1)),
inference(superposition,[],[f29397,f47]) ).
fof(f29602,plain,
join(sF2,sF3) = complement(sF9),
inference(forward_demodulation,[],[f29486,f59]) ).
fof(f29642,plain,
sF4 = complement(sF9),
inference(forward_demodulation,[],[f29602,f49]) ).
fof(f29757,plain,
sF9 = converse(complement(converse(sF4))),
inference(superposition,[],[f25318,f29642]) ).
fof(f29764,plain,
sF5 = sF9,
inference(forward_demodulation,[],[f29757,f25343]) ).
fof(f29802,plain,
$false,
inference(forward_subsumption_resolution,[],[f29764,f29433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL021+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n012.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:52:34 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.04/2.00 % (2843901)Detected formulas, will run a generic FOF schedule.
% 7.04/2.00 % (2843909)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=737329148:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.04/2.00 % (2843910)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2612140580:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.04/2.00 % (2843906)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=441522266:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.04/2.00 % (2843911)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=36364448:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.04/2.00 % (2843908)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=3888807639:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.04/2.00 % (2843912)dis-21_1_sil=8000:lcm=predicate:random_seed=2222552717: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)
% 7.04/2.00 % (2843907)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=698998995:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.04/2.00 % (2843912)Refutation not found, incomplete strategy
% 7.04/2.00 % (2843912)------------------------------
% 7.04/2.00 % (2843912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.00 % (2843912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.00 % (2843912)CaDiCaL version: 2.1.3
% 7.04/2.00 % (2843912)Termination reason: Refutation not found, incomplete strategy
% 7.04/2.00 % (2843912)Time elapsed: 0.001 s
% 7.04/2.00 % (2843912)Peak memory usage: 88 MB
% 7.04/2.00 % (2843912)Instructions burned: 1 (million)
% 7.04/2.00 % (2843909)Instruction limit reached!
% 7.04/2.00 % (2843909)------------------------------
% 7.04/2.00 % (2843909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.00 % (2843909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.00 % (2843909)CaDiCaL version: 2.1.3
% 7.04/2.00 % (2843909)Termination reason: Instruction limit
% 7.04/2.00 % (2843909)Termination phase: Saturation
% 7.04/2.00 % (2843909)Time elapsed: 0.036 s
% 7.04/2.00 % (2843909)Peak memory usage: 89 MB
% 7.04/2.00 % (2843909)Instructions burned: 109 (million)
% 7.04/2.00 % (2843910)Instruction limit reached!
% 7.04/2.00 % (2843910)------------------------------
% 7.04/2.00 % (2843910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.00 % (2843910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.00 % (2843910)CaDiCaL version: 2.1.3
% 7.04/2.00 % (2843910)Termination reason: Instruction limit
% 7.04/2.00 % (2843910)Termination phase: Saturation
% 7.04/2.00 % (2843910)Time elapsed: 0.037 s
% 7.04/2.00 % (2843910)Peak memory usage: 88 MB
% 7.04/2.00 % (2843910)Instructions burned: 119 (million)
% 7.04/2.00 % (2843911)Instruction limit reached!
% 7.04/2.00 % (2843911)------------------------------
% 7.04/2.00 % (2843911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/2.00 % (2843911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/2.00 % (2843911)CaDiCaL version: 2.1.3
% 7.04/2.00 % (2843911)Termination reason: Instruction limit
% 7.04/2.00 % (2843911)Termination phase: Saturation
% 7.04/2.00 % (2843911)Time elapsed: 0.046 s
% 7.04/2.00 % (2843911)Peak memory usage: 89 MB
% 7.04/2.00 % (2843911)Instructions burned: 140 (million)
% 7.04/2.00 % (2843912)------------------------------
% 7.04/2.00 % (2843912)------------------------------
% 7.04/2.00 % (2843923)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1951531838:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 7.04/2.00 % (2843924)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3516311700:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 7.04/2.00 % (2843922)lrs+10_1_sil=8000:sp=occurrence:random_seed=3784471441:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.04/2.00 % (2843923)Instruction limit reached!
% 7.04/2.00 % (2843923)------------------------------
% 7.04/2.00 % (2843923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843923)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843923)Termination reason: Instruction limit
% 10.18/2.19 % (2843923)Termination phase: Saturation
% 10.18/2.19 % (2843923)Time elapsed: 0.053 s
% 10.18/2.19 % (2843923)Peak memory usage: 90 MB
% 10.18/2.19 % (2843923)Instructions burned: 158 (million)
% 10.18/2.19 % (2843924)Instruction limit reached!
% 10.18/2.19 % (2843924)------------------------------
% 10.18/2.19 % (2843924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843924)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843924)Termination reason: Instruction limit
% 10.18/2.19 % (2843924)Termination phase: Saturation
% 10.18/2.19 % (2843924)Time elapsed: 0.107 s
% 10.18/2.19 % (2843924)Peak memory usage: 92 MB
% 10.18/2.19 % (2843924)Instructions burned: 327 (million)
% 10.18/2.19 % (2843945)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=2156882482:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.18/2.19 % (2843922)Instruction limit reached!
% 10.18/2.19 % (2843922)------------------------------
% 10.18/2.19 % (2843922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843922)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843922)Termination reason: Instruction limit
% 10.18/2.19 % (2843922)Termination phase: Saturation
% 10.18/2.19 % (2843922)Time elapsed: 0.096 s
% 10.18/2.19 % (2843922)Peak memory usage: 91 MB
% 10.18/2.19 % (2843922)Instructions burned: 287 (million)
% 10.18/2.19 % (2843968)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2177771933:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.18/2.19 % (2843945)Instruction limit reached!
% 10.18/2.19 % (2843945)------------------------------
% 10.18/2.19 % (2843945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843945)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843945)Termination reason: Instruction limit
% 10.18/2.19 % (2843945)Termination phase: Saturation
% 10.18/2.19 % (2843945)Time elapsed: 0.087 s
% 10.18/2.19 % (2843945)Peak memory usage: 91 MB
% 10.18/2.19 % (2843945)Instructions burned: 248 (million)
% 10.18/2.19 % (2843995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1705958812:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.18/2.19 % (2843999)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3904369843:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.18/2.19 % (2843999)Instruction limit reached!
% 10.18/2.19 % (2843999)------------------------------
% 10.18/2.19 % (2843999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843999)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843999)Termination reason: Instruction limit
% 10.18/2.19 % (2843999)Termination phase: Saturation
% 10.18/2.19 % (2843999)Time elapsed: 0.040 s
% 10.18/2.19 % (2843999)Peak memory usage: 90 MB
% 10.18/2.19 % (2843999)Instructions burned: 115 (million)
% 10.18/2.19 % (2843968)Instruction limit reached!
% 10.18/2.19 % (2843968)------------------------------
% 10.18/2.19 % (2843968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843968)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843968)Termination reason: Instruction limit
% 10.18/2.19 % (2843968)Termination phase: Saturation
% 10.18/2.19 % (2843968)Time elapsed: 0.095 s
% 10.18/2.19 % (2843968)Peak memory usage: 92 MB
% 10.18/2.19 % (2843968)Instructions burned: 296 (million)
% 10.18/2.19 % (2844022)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=198546446:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 10.18/2.19 % (2844022)Refutation not found, incomplete strategy
% 10.18/2.19 % (2844022)------------------------------
% 10.18/2.19 % (2844022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844022)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844022)Termination reason: Refutation not found, incomplete strategy
% 10.18/2.19 % (2844022)Time elapsed: 0.001 s
% 10.18/2.19 % (2844022)Peak memory usage: 87 MB
% 10.18/2.19 % (2844022)Instructions burned: 1 (million)
% 10.18/2.19 % (2844045)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3689479646:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.18/2.19 % (2844047)lrs+10_1_sil=8000:sp=occurrence:random_seed=3807360848:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 10.18/2.19 % (2844045)Instruction limit reached!
% 10.18/2.19 % (2844045)------------------------------
% 10.18/2.19 % (2844045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844045)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844045)Termination reason: Instruction limit
% 10.18/2.19 % (2844045)Termination phase: Saturation
% 10.18/2.19 % (2844045)Time elapsed: 0.033 s
% 10.18/2.19 % (2844045)Peak memory usage: 88 MB
% 10.18/2.19 % (2844045)Instructions burned: 114 (million)
% 10.18/2.19 % (2844022)------------------------------
% 10.18/2.19 % (2844022)------------------------------
% 10.18/2.19 % (2844094)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2047698165:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.18/2.19 % (2844095)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2868373068:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.18/2.19 % (2844094)Instruction limit reached!
% 10.18/2.19 % (2844094)------------------------------
% 10.18/2.19 % (2844094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844094)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844094)Termination reason: Instruction limit
% 10.18/2.19 % (2844094)Termination phase: Saturation
% 10.18/2.19 % (2844094)Time elapsed: 0.123 s
% 10.18/2.19 % (2844094)Peak memory usage: 91 MB
% 10.18/2.19 % (2844094)Instructions burned: 438 (million)
% 10.18/2.19 % (2844047)Instruction limit reached!
% 10.18/2.19 % (2844047)------------------------------
% 10.18/2.19 % (2844047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844047)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844047)Termination reason: Instruction limit
% 10.18/2.19 % (2844047)Termination phase: Saturation
% 10.18/2.19 % (2844047)Time elapsed: 0.295 s
% 10.18/2.19 % (2844047)Peak memory usage: 97 MB
% 10.18/2.19 % (2844047)Instructions burned: 910 (million)
% 10.18/2.19 % (2844098)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3259687694:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 10.18/2.19 % (2844098)Refutation not found, incomplete strategy
% 10.18/2.19 % (2844098)------------------------------
% 10.18/2.19 % (2844098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844098)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844098)Termination reason: Refutation not found, incomplete strategy
% 10.18/2.19 % (2844098)Time elapsed: 0.001 s
% 10.18/2.19 % (2844098)Peak memory usage: 89 MB
% 10.18/2.19 % (2844098)Instructions burned: 2 (million)
% 10.18/2.19 % (2844099)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=930884775:st=8:i=592:sd=3:ep=RST:ss=axioms_2990 on theBenchmark for (2990ds/592Mi)
% 10.18/2.19 % (2844098)------------------------------
% 10.18/2.19 % (2844098)------------------------------
% 10.18/2.19 % (2844099)Instruction limit reached!
% 10.18/2.19 % (2844099)------------------------------
% 10.18/2.19 % (2844099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844099)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844099)Termination reason: Instruction limit
% 10.18/2.19 % (2844099)Termination phase: Saturation
% 10.18/2.19 % (2844099)Time elapsed: 0.188 s
% 10.18/2.19 % (2844099)Peak memory usage: 94 MB
% 10.18/2.19 % (2844099)Instructions burned: 592 (million)
% 10.18/2.19 % (2843995)Instruction limit reached!
% 10.18/2.19 % (2843995)------------------------------
% 10.18/2.19 % (2843995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2843995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2843995)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2843995)Termination reason: Instruction limit
% 10.18/2.19 % (2843995)Termination phase: Saturation
% 10.18/2.19 % (2843995)Time elapsed: 0.809 s
% 10.18/2.19 % (2843995)Peak memory usage: 142 MB
% 10.18/2.19 % (2843995)Instructions burned: 2352 (million)
% 10.18/2.19 % (2843906)First to succeed.
% 10.18/2.19 % (2843906)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2843901"
% 10.18/2.19 % (2844102)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1206136186:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 10.18/2.19 % (2844103)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=3018653411:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/125Mi)
% 10.18/2.19 % (2844104)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2955142892:i=134:gtgl=5:slsql=off:gtg=exists_sym_2986 on theBenchmark for (2986ds/134Mi)
% 10.18/2.19 % (2844103)Instruction limit reached!
% 10.18/2.19 % (2844103)------------------------------
% 10.18/2.19 % (2844103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844103)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844103)Termination reason: Instruction limit
% 10.18/2.19 % (2844103)Termination phase: Saturation
% 10.18/2.19 % (2844103)Time elapsed: 0.045 s
% 10.18/2.19 % (2844103)Peak memory usage: 91 MB
% 10.18/2.19 % (2844103)Instructions burned: 125 (million)
% 10.18/2.19 % (2844104)Instruction limit reached!
% 10.18/2.19 % (2844104)------------------------------
% 10.18/2.19 % (2844104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.19 % (2844104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.19 % (2844104)CaDiCaL version: 2.1.3
% 10.18/2.19 % (2844104)Termination reason: Instruction limit
% 10.18/2.19 % (2844104)Termination phase: Saturation
% 10.18/2.19 % (2844104)Time elapsed: 0.043 s
% 10.18/2.19 % (2844104)Peak memory usage: 90 MB
% 10.18/2.19 % (2844104)Instructions burned: 137 (million)
% 10.18/2.19 % (2843906)Refutation found. Thanks to Tanya!
% 10.18/2.19 % SZS status Theorem for theBenchmark
% 10.18/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 10.86/2.29 % (2843906)------------------------------
% 10.86/2.29 % (2843906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.86/2.29 % (2843906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.86/2.29 % (2843906)CaDiCaL version: 2.1.3
% 10.86/2.29 % (2843906)Termination reason: Refutation
% 10.86/2.29 % (2843906)Time elapsed: 1.197 s
% 10.86/2.29 % (2843906)Peak memory usage: 150 MB
% 10.86/2.29 % (2843906)Instructions burned: 3488 (million)
% 10.86/2.29 % (2843906)------------------------------
% 10.86/2.29 % (2843906)------------------------------
% 10.86/2.29 % (2843901)Success in time 1.503 s
% 10.86/2.29 % Vampire exiting
%------------------------------------------------------------------------------