%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL033-3 : 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 : n002.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 12:33:59 PM UTC 2026
% Result : Unsatisfiable 66.41s 11.69s
% Output : Refutation 76.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 26
% Syntax : Number of formulae : 316 ( 316 unt; 10 def)
% Number of atoms : 316 ( 315 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 317 ( 317 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f19,axiom,
! [X2,X0,X1] : 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_15) ).
fof(f20,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(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
composition(meet(sk1,sk2),sk3) != meet(sk1,composition(sk2,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
composition(complement(join(complement(sk1),complement(sk2))),sk3) != complement(join(complement(sk1),complement(composition(sk2,sk3)))),
inference(definition_unfolding,[],[f25,f6,f6]) ).
fof(f28,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,[],[f20,f6,f6,f6,f6,f6]) ).
fof(f30,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f31,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
sk1 = sF0,
inference(definition_folding,[],[f24,f32]) ).
fof(f34,definition,
sF1 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
complement(sk1) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
complement(sk2) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF5 = composition(sF4,sk3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
composition(sF4,sk3) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF6 = composition(sk2,sk3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
composition(sk2,sk3) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f47,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF8 = join(sF1,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f49,plain,
join(sF1,sF7) = sF8,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f51,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
sF5 != sF9,
inference(definition_folding,[],[f26,f51,f49,f47,f45,f35,f43,f41,f39,f37,f35]) ).
fof(f53,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f54,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f55,plain,
zero = complement(top),
inference(forward_demodulation,[],[f30,f15]) ).
fof(f56,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f58,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f32,f33]) ).
fof(f80,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f92,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f53,f15]) ).
fof(f95,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f92,f1]) ).
fof(f96,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f95,f55]) ).
fof(f109,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f54,f10]) ).
fof(f113,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f114,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(superposition,[],[f54,f12]) ).
fof(f115,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f114,f10]) ).
fof(f118,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f54,f58]) ).
fof(f119,plain,
complement(top) = join(complement(top),composition(converse(sk1),sF1)),
inference(forward_demodulation,[],[f118,f35]) ).
fof(f120,plain,
zero = join(zero,composition(converse(sk1),sF1)),
inference(forward_demodulation,[],[f119,f55]) ).
fof(f138,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f142,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f53]) ).
fof(f145,plain,
! [X0] : join(sF1,join(sF7,X0)) = join(sF8,X0),
inference(superposition,[],[f2,f49]) ).
fof(f152,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f225,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f227,plain,
! [X0] : composition(join(sk2,X0),sk3) = join(sF6,composition(X0,sk3)),
inference(superposition,[],[f9,f45]) ).
fof(f250,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f225,f12]) ).
fof(f256,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f250,f11]) ).
fof(f259,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f256,f11]) ).
fof(f261,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f259,f12]) ).
fof(f276,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f261]) ).
fof(f287,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f276,f10]) ).
fof(f303,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f287,f8]) ).
fof(f308,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f287,f8]) ).
fof(f317,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f287]) ).
fof(f323,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f308,f1]) ).
fof(f328,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f113,f8]) ).
fof(f342,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f328,f10]) ).
fof(f356,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f342]) ).
fof(f363,plain,
one = converse(one),
inference(superposition,[],[f8,f342]) ).
fof(f372,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f356,f363]) ).
fof(f381,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f342,f363]) ).
fof(f439,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f109,f381]) ).
fof(f447,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f439,f342]) ).
fof(f462,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f142,f447]) ).
fof(f464,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f462,f53]) ).
fof(f488,plain,
! [X0] : join(X0,complement(join(complement(X0),sF1))) = X0,
inference(superposition,[],[f464,f35]) ).
fof(f495,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f464,f15]) ).
fof(f512,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f495,f55]) ).
fof(f518,plain,
! [X0] : join(X0,complement(join(sF1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f488,f1]) ).
fof(f527,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f512]) ).
fof(f538,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f96,f527]) ).
fof(f539,plain,
top = complement(zero),
inference(superposition,[],[f15,f527]) ).
fof(f544,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f538,f447]) ).
fof(f547,plain,
sk1 = complement(sF1),
inference(superposition,[],[f544,f35]) ).
fof(f548,plain,
sk2 = complement(sF2),
inference(superposition,[],[f544,f37]) ).
fof(f551,plain,
sF8 = complement(sF9),
inference(superposition,[],[f544,f51]) ).
fof(f553,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f53,f544]) ).
fof(f562,plain,
! [X0,X1] : join(X1,complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f464,f544]) ).
fof(f567,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f562,f544]) ).
fof(f583,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f562,f1]) ).
fof(f595,plain,
! [X0] : zero = complement(join(complement(zero),X0)),
inference(superposition,[],[f527,f562]) ).
fof(f596,plain,
! [X0] : zero = complement(join(top,X0)),
inference(forward_demodulation,[],[f595,f539]) ).
fof(f620,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f553,f1]) ).
fof(f648,plain,
! [X0,X1] : complement(X1) = join(complement(join(X1,X0)),complement(join(complement(X0),X1))),
inference(superposition,[],[f553,f1]) ).
fof(f750,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f567,f1]) ).
fof(f767,plain,
complement(sF1) = join(complement(sF1),complement(sF3)),
inference(superposition,[],[f567,f39]) ).
fof(f784,plain,
complement(sF1) = join(complement(sF1),sF4),
inference(forward_demodulation,[],[f767,f41]) ).
fof(f796,plain,
complement(sF1) = join(sF4,complement(sF1)),
inference(forward_demodulation,[],[f784,f1]) ).
fof(f801,plain,
sk1 = join(sF4,sk1),
inference(forward_demodulation,[],[f796,f547]) ).
fof(f804,plain,
sk1 = join(sk1,sF4),
inference(forward_demodulation,[],[f801,f1]) ).
fof(f825,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(complement(complement(join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f750,f750]) ).
fof(f836,plain,
complement(sF2) = join(complement(sF2),complement(sF3)),
inference(superposition,[],[f750,f39]) ).
fof(f847,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f2,f750]) ).
fof(f854,plain,
complement(sF2) = join(complement(sF2),sF4),
inference(forward_demodulation,[],[f836,f41]) ).
fof(f860,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(complement(complement(X0)),complement(complement(join(X1,X0)))),
inference(forward_demodulation,[],[f825,f1]) ).
fof(f871,plain,
complement(sF2) = join(sF4,complement(sF2)),
inference(forward_demodulation,[],[f854,f1]) ).
fof(f876,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),join(X1,X0)),
inference(forward_demodulation,[],[f860,f544]) ).
fof(f883,plain,
sk2 = join(sF4,sk2),
inference(forward_demodulation,[],[f871,f548]) ).
fof(f885,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f876,f152]) ).
fof(f889,plain,
sk2 = join(sk2,sF4),
inference(forward_demodulation,[],[f883,f1]) ).
fof(f891,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f885,f544]) ).
fof(f898,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f648,f1]) ).
fof(f902,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,complement(X1)))),complement(join(X0,X1))))),
inference(superposition,[],[f648,f553]) ).
fof(f926,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f648,f553]) ).
fof(f927,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f648,f648]) ).
fof(f975,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f927,f1]) ).
fof(f976,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f926,f1]) ).
fof(f986,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f902,f1]) ).
fof(f1009,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f975,f1]) ).
fof(f1010,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f976,f1]) ).
fof(f1019,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f986,f544]) ).
fof(f1042,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1009,f2]) ).
fof(f1043,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1010,f2]) ).
fof(f1050,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(X1),join(complement(join(X0,X1)),X0)))),
inference(forward_demodulation,[],[f1019,f152]) ).
fof(f1066,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1042,f562]) ).
fof(f1067,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1043,f583]) ).
fof(f1073,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1050,f847]) ).
fof(f1081,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1066,f544]) ).
fof(f1082,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1067,f544]) ).
fof(f1086,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1073,f544]) ).
fof(f1091,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1081,f544]) ).
fof(f1092,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1082,f544]) ).
fof(f1094,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1086,f544]) ).
fof(f1102,plain,
! [X0] : join(X0,complement(X0)) = join(complement(zero),X0),
inference(superposition,[],[f1091,f512]) ).
fof(f1120,plain,
join(complement(sF2),sF1) = join(sF1,complement(sF3)),
inference(superposition,[],[f1091,f39]) ).
fof(f1156,plain,
join(complement(sF2),sF1) = join(sF1,sF4),
inference(forward_demodulation,[],[f1120,f41]) ).
fof(f1168,plain,
! [X0] : join(X0,complement(X0)) = join(top,X0),
inference(forward_demodulation,[],[f1102,f539]) ).
fof(f1184,plain,
join(sF1,complement(sF2)) = join(sF1,sF4),
inference(forward_demodulation,[],[f1156,f1]) ).
fof(f1194,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1168,f15]) ).
fof(f1207,plain,
join(sF1,sk2) = join(sF1,sF4),
inference(forward_demodulation,[],[f1184,f548]) ).
fof(f1223,plain,
join(sk2,sF1) = join(sF1,sF4),
inference(forward_demodulation,[],[f1207,f1]) ).
fof(f1532,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(zero)),
inference(superposition,[],[f1092,f512]) ).
fof(f1609,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f1532,f539]) ).
fof(f1642,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1609,f15]) ).
fof(f2300,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(join(complement(X1),X0),X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f648,f891]) ).
fof(f2309,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(X0,complement(X1))),complement(join(join(complement(X1),X0),X1))),
inference(forward_demodulation,[],[f2300,f1]) ).
fof(f2351,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(X0,complement(X1))),complement(join(X1,join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2309,f1]) ).
fof(f2386,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(X0,complement(X1))),complement(join(top,X0))),
inference(forward_demodulation,[],[f2351,f138]) ).
fof(f2397,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(top,X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f2386,f1]) ).
fof(f2401,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(zero,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f2397,f596]) ).
fof(f2405,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[],[f2401,f527]) ).
fof(f4935,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f80,f15]) ).
fof(f5715,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f303,f15]) ).
fof(f6209,plain,
! [X0,X1] : complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))))),
inference(superposition,[],[f56,f55]) ).
fof(f6232,plain,
! [X2,X0,X1] : complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1))))))))),
inference(superposition,[],[f56,f10]) ).
fof(f6315,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))),
inference(forward_demodulation,[],[f6209,f527]) ).
fof(f6360,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(complement(join(complement(composition(X0,X1)),zero)),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6315,f544]) ).
fof(f6390,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(complement(join(zero,complement(composition(X0,X1)))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6360,f2405]) ).
fof(f6414,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(complement(complement(composition(X0,X1))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6390,f527]) ).
fof(f6433,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6414,f544]) ).
fof(f6447,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = composition(X0,join(X1,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6433,f287]) ).
fof(f6452,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))),
inference(forward_demodulation,[],[f6447,f464]) ).
fof(f6510,plain,
composition(sk2,sk3) = join(sF6,composition(sF4,sk3)),
inference(superposition,[],[f227,f889]) ).
fof(f6567,plain,
composition(sk2,sk3) = join(sF6,sF5),
inference(forward_demodulation,[],[f6510,f43]) ).
fof(f6582,plain,
composition(sk2,sk3) = join(sF5,sF6),
inference(forward_demodulation,[],[f6567,f1]) ).
fof(f6588,plain,
sF6 = join(sF5,sF6),
inference(forward_demodulation,[],[f6582,f45]) ).
fof(f6593,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f567,f6588]) ).
fof(f6607,plain,
complement(sF5) = join(complement(sF5),sF7),
inference(forward_demodulation,[],[f6593,f47]) ).
fof(f6613,plain,
complement(sF5) = join(sF7,complement(sF5)),
inference(forward_demodulation,[],[f6607,f1]) ).
fof(f7889,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f317,f9]) ).
fof(f8123,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(superposition,[],[f323,f1194]) ).
fof(f8383,plain,
! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
inference(superposition,[],[f372,f1642]) ).
fof(f8422,plain,
zero = composition(converse(sk1),sF1),
inference(superposition,[],[f527,f120]) ).
fof(f9348,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1092,f4935]) ).
fof(f9362,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = join(converse(complement(converse(complement(X0)))),complement(converse(top))),
inference(superposition,[],[f1094,f4935]) ).
fof(f9369,plain,
top = converse(top),
inference(superposition,[],[f1194,f4935]) ).
fof(f9381,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = join(complement(converse(top)),converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f9362,f1]) ).
fof(f9395,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f9348,f9369]) ).
fof(f9422,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = join(complement(top),converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f9381,f9369]) ).
fof(f9435,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f9395,f55]) ).
fof(f9454,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = join(zero,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f9422,f55]) ).
fof(f9464,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f9435,f512]) ).
fof(f9475,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f9454,f527]) ).
fof(f9488,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f9475,f1]) ).
fof(f9506,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f113,f9369]) ).
fof(f9578,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f80,f9464]) ).
fof(f9589,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f9578,f10]) ).
fof(f9702,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(join(X0,converse(complement(converse(complement(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f898,f9589]) ).
fof(f9711,plain,
zero = converse(complement(converse(complement(zero)))),
inference(superposition,[],[f527,f9589]) ).
fof(f9720,plain,
zero = converse(complement(converse(top))),
inference(forward_demodulation,[],[f9711,f539]) ).
fof(f9728,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,converse(complement(converse(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f9702,f1]) ).
fof(f9747,plain,
zero = converse(complement(top)),
inference(forward_demodulation,[],[f9720,f9369]) ).
fof(f9752,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(join(X0,converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f9728,f544]) ).
fof(f9761,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f9747,f55]) ).
fof(f9764,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(complement(converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[],[f9752,f1091]) ).
fof(f9771,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f9764,f1]) ).
fof(f9773,plain,
! [X0] : complement(converse(complement(converse(X0)))) = X0,
inference(forward_demodulation,[],[f9771,f9464]) ).
fof(f9807,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f9773,f10]) ).
fof(f9840,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f544,f9773]) ).
fof(f9917,plain,
converse(sk1) = complement(converse(sF1)),
inference(superposition,[],[f9807,f35]) ).
fof(f11608,plain,
converse(zero) = composition(converse(sF1),sk1),
inference(superposition,[],[f113,f8422]) ).
fof(f11642,plain,
zero = composition(converse(sF1),sk1),
inference(forward_demodulation,[],[f11608,f9761]) ).
fof(f11685,plain,
complement(sk1) = join(complement(sk1),composition(sF1,complement(zero))),
inference(superposition,[],[f109,f11642]) ).
fof(f11697,plain,
! [X0] : composition(converse(sF1),join(sk1,X0)) = join(zero,composition(converse(sF1),X0)),
inference(superposition,[],[f287,f11642]) ).
fof(f11710,plain,
! [X0] : composition(converse(sF1),X0) = composition(converse(sF1),join(sk1,X0)),
inference(forward_demodulation,[],[f11697,f527]) ).
fof(f11721,plain,
complement(sk1) = join(complement(sk1),composition(sF1,top)),
inference(forward_demodulation,[],[f11685,f539]) ).
fof(f11736,plain,
sF1 = join(sF1,composition(sF1,top)),
inference(forward_demodulation,[],[f11721,f35]) ).
fof(f11745,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f11736,f8123]) ).
fof(f11813,plain,
join(sF8,complement(sF5)) = join(sF1,complement(sF5)),
inference(superposition,[],[f145,f6613]) ).
fof(f12549,plain,
top = composition(top,top),
inference(superposition,[],[f1194,f5715]) ).
fof(f13637,plain,
! [X0,X1] : composition(X1,complement(X0)) = composition(X1,complement(join(X0,complement(composition(converse(X1),top))))),
inference(superposition,[],[f6452,f544]) ).
fof(f13761,plain,
! [X0,X1] : composition(X1,complement(X0)) = composition(X1,complement(join(X0,complement(converse(composition(top,X1)))))),
inference(forward_demodulation,[],[f13637,f9506]) ).
fof(f13999,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f7889,f15]) ).
fof(f14636,plain,
! [X2,X0,X1] : join(composition(X1,top),composition(X0,complement(X2))) = join(composition(X1,X2),composition(join(X0,X1),complement(X2))),
inference(superposition,[],[f13999,f1]) ).
fof(f14703,plain,
! [X0] : join(composition(sk1,top),composition(sF4,complement(X0))) = join(composition(sk1,X0),composition(sk1,complement(X0))),
inference(superposition,[],[f13999,f804]) ).
fof(f14710,plain,
! [X0] : join(composition(sF1,top),composition(sF4,complement(X0))) = join(composition(sF1,X0),composition(join(sk2,sF1),complement(X0))),
inference(superposition,[],[f13999,f1223]) ).
fof(f14786,plain,
! [X0] : join(composition(sF1,X0),composition(join(sk2,sF1),complement(X0))) = join(sF1,composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f14710,f11745]) ).
fof(f14793,plain,
! [X0] : join(composition(sk1,top),composition(sF4,complement(X0))) = composition(sk1,join(X0,complement(X0))),
inference(forward_demodulation,[],[f14703,f287]) ).
fof(f14879,plain,
! [X0] : join(sF1,composition(sF4,complement(X0))) = join(composition(sF1,top),composition(sk2,complement(X0))),
inference(forward_demodulation,[],[f14786,f14636]) ).
fof(f14882,plain,
! [X0] : composition(sk1,top) = join(composition(sk1,top),composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f14793,f15]) ).
fof(f14936,plain,
! [X0] : join(sF1,composition(sF4,complement(X0))) = join(sF1,composition(sk2,complement(X0))),
inference(forward_demodulation,[],[f14879,f11745]) ).
fof(f14938,plain,
! [X0] : sk1 = join(sk1,composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f14882,f58]) ).
fof(f15233,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(join(sF1,composition(sk2,complement(X0)))),complement(join(complement(sF1),composition(sF4,complement(X0))))),
inference(superposition,[],[f898,f14936]) ).
fof(f15246,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(join(sF1,composition(sk2,complement(X0)))),complement(join(sk1,composition(sF4,complement(X0))))),
inference(forward_demodulation,[],[f15233,f547]) ).
fof(f15261,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(join(sk1,composition(sF4,complement(X0)))),complement(join(sF1,composition(sk2,complement(X0))))),
inference(forward_demodulation,[],[f15246,f1]) ).
fof(f15271,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(sk1),complement(join(sF1,composition(sk2,complement(X0))))),
inference(forward_demodulation,[],[f15261,f14938]) ).
fof(f15276,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(sF1,complement(join(sF1,composition(sk2,complement(X0))))),
inference(forward_demodulation,[],[f15271,f35]) ).
fof(f15279,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(composition(sk2,complement(X0))),sF1),
inference(forward_demodulation,[],[f15276,f1091]) ).
fof(f15282,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(sF1,complement(composition(sk2,complement(X0)))),
inference(forward_demodulation,[],[f15279,f1]) ).
fof(f16753,plain,
complement(converse(top)) = join(complement(converse(top)),composition(top,complement(converse(top)))),
inference(superposition,[],[f115,f12549]) ).
fof(f16774,plain,
complement(converse(top)) = composition(join(one,top),complement(converse(top))),
inference(forward_demodulation,[],[f16753,f372]) ).
fof(f16791,plain,
complement(top) = composition(join(one,top),complement(top)),
inference(forward_demodulation,[],[f16774,f9369]) ).
fof(f16806,plain,
zero = composition(join(one,top),zero),
inference(forward_demodulation,[],[f16791,f55]) ).
fof(f16816,plain,
zero = join(zero,composition(top,zero)),
inference(forward_demodulation,[],[f16806,f372]) ).
fof(f16823,plain,
zero = composition(top,zero),
inference(forward_demodulation,[],[f16816,f8383]) ).
fof(f17162,plain,
complement(converse(top)) = join(complement(converse(top)),composition(zero,complement(converse(zero)))),
inference(superposition,[],[f115,f16823]) ).
fof(f17183,plain,
complement(converse(top)) = join(complement(converse(top)),composition(zero,complement(zero))),
inference(forward_demodulation,[],[f17162,f9761]) ).
fof(f17198,plain,
complement(converse(top)) = join(complement(converse(top)),composition(zero,top)),
inference(forward_demodulation,[],[f17183,f539]) ).
fof(f17208,plain,
complement(top) = join(complement(top),composition(zero,top)),
inference(forward_demodulation,[],[f17198,f9369]) ).
fof(f17216,plain,
zero = join(zero,composition(zero,top)),
inference(forward_demodulation,[],[f17208,f55]) ).
fof(f17222,plain,
zero = composition(zero,top),
inference(forward_demodulation,[],[f17216,f8123]) ).
fof(f17245,plain,
! [X0] : join(zero,composition(zero,X0)) = composition(zero,join(top,X0)),
inference(superposition,[],[f287,f17222]) ).
fof(f17258,plain,
! [X0] : join(zero,composition(zero,X0)) = composition(zero,top),
inference(forward_demodulation,[],[f17245,f1194]) ).
fof(f17275,plain,
! [X0] : zero = join(zero,composition(zero,X0)),
inference(forward_demodulation,[],[f17258,f17222]) ).
fof(f17290,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f17275,f527]) ).
fof(f21378,plain,
! [X0] : complement(join(complement(top),complement(composition(converse(sk1),complement(join(complement(X0),complement(sk1))))))) = join(complement(join(complement(composition(converse(sk1),X0)),complement(top))),complement(join(complement(top),complement(composition(converse(sk1),complement(join(complement(X0),complement(sk1)))))))),
inference(superposition,[],[f6232,f58]) ).
fof(f21482,plain,
! [X0] : complement(join(complement(top),complement(composition(converse(sk1),complement(join(complement(X0),sF1)))))) = join(complement(join(complement(composition(converse(sk1),X0)),complement(top))),complement(join(complement(top),complement(composition(converse(sk1),complement(join(complement(X0),sF1))))))),
inference(forward_demodulation,[],[f21378,f35]) ).
fof(f21594,plain,
! [X0] : complement(join(complement(top),complement(composition(converse(sk1),complement(join(sF1,complement(X0))))))) = join(complement(join(complement(composition(converse(sk1),X0)),complement(top))),complement(join(complement(top),complement(composition(converse(sk1),complement(join(sF1,complement(X0)))))))),
inference(forward_demodulation,[],[f21482,f2405]) ).
fof(f21668,plain,
! [X0] : complement(join(zero,complement(composition(converse(sk1),complement(join(sF1,complement(X0))))))) = join(complement(join(complement(composition(converse(sk1),X0)),zero)),complement(join(zero,complement(composition(converse(sk1),complement(join(sF1,complement(X0)))))))),
inference(forward_demodulation,[],[f21594,f55]) ).
fof(f21723,plain,
! [X0] : complement(complement(composition(converse(sk1),complement(join(sF1,complement(X0)))))) = join(complement(join(complement(composition(converse(sk1),X0)),zero)),complement(complement(composition(converse(sk1),complement(join(sF1,complement(X0))))))),
inference(forward_demodulation,[],[f21668,f527]) ).
fof(f21767,plain,
! [X0] : composition(converse(sk1),complement(join(sF1,complement(X0)))) = join(complement(join(complement(composition(converse(sk1),X0)),zero)),composition(converse(sk1),complement(join(sF1,complement(X0))))),
inference(forward_demodulation,[],[f21723,f544]) ).
fof(f21802,plain,
! [X0] : composition(converse(sk1),complement(join(sF1,complement(X0)))) = join(complement(join(zero,complement(composition(converse(sk1),X0)))),composition(converse(sk1),complement(join(sF1,complement(X0))))),
inference(forward_demodulation,[],[f21767,f2405]) ).
fof(f21823,plain,
! [X0] : composition(converse(sk1),complement(join(sF1,complement(X0)))) = join(complement(complement(composition(converse(sk1),X0))),composition(converse(sk1),complement(join(sF1,complement(X0))))),
inference(forward_demodulation,[],[f21802,f527]) ).
fof(f21833,plain,
! [X0] : composition(converse(sk1),complement(join(sF1,complement(X0)))) = join(composition(converse(sk1),X0),composition(converse(sk1),complement(join(sF1,complement(X0))))),
inference(forward_demodulation,[],[f21823,f544]) ).
fof(f21841,plain,
! [X0] : composition(converse(sk1),complement(join(sF1,complement(X0)))) = composition(converse(sk1),join(X0,complement(join(sF1,complement(X0))))),
inference(forward_demodulation,[],[f21833,f287]) ).
fof(f21847,plain,
! [X0] : composition(converse(sk1),X0) = composition(converse(sk1),complement(join(sF1,complement(X0)))),
inference(forward_demodulation,[],[f21841,f518]) ).
fof(f21872,plain,
composition(converse(sk1),sk2) = composition(converse(sk1),complement(join(sF1,sF2))),
inference(superposition,[],[f21847,f37]) ).
fof(f21969,plain,
composition(converse(sk1),sk2) = composition(converse(sk1),complement(sF3)),
inference(forward_demodulation,[],[f21872,f39]) ).
fof(f22013,plain,
composition(converse(sk1),sk2) = composition(converse(sk1),sF4),
inference(forward_demodulation,[],[f21969,f41]) ).
fof(f38801,plain,
composition(converse(sF1),sk1) = composition(converse(sF1),sF4),
inference(superposition,[],[f11710,f804]) ).
fof(f38933,plain,
zero = composition(converse(sF1),sF4),
inference(forward_demodulation,[],[f38801,f11642]) ).
fof(f39563,plain,
! [X0] : composition(zero,X0) = composition(converse(sF1),composition(sF4,X0)),
inference(superposition,[],[f7,f38933]) ).
fof(f39565,plain,
! [X0] : composition(join(converse(sF1),X0),sF4) = join(zero,composition(X0,sF4)),
inference(superposition,[],[f9,f38933]) ).
fof(f39612,plain,
! [X0] : composition(X0,sF4) = composition(join(converse(sF1),X0),sF4),
inference(forward_demodulation,[],[f39565,f527]) ).
fof(f39614,plain,
! [X0] : zero = composition(converse(sF1),composition(sF4,X0)),
inference(forward_demodulation,[],[f39563,f17290]) ).
fof(f40486,plain,
composition(top,sF4) = composition(complement(converse(sF1)),sF4),
inference(superposition,[],[f39612,f15]) ).
fof(f40586,plain,
composition(top,sF4) = composition(converse(sk1),sF4),
inference(forward_demodulation,[],[f40486,f9917]) ).
fof(f40634,plain,
composition(top,sF4) = composition(converse(sk1),sk2),
inference(superposition,[],[f22013,f40586]) ).
fof(f40772,plain,
converse(composition(top,sF4)) = composition(converse(sk2),sk1),
inference(superposition,[],[f113,f40634]) ).
fof(f41015,plain,
! [X0] : complement(join(complement(sk1),complement(composition(sk2,complement(join(complement(X0),complement(converse(composition(top,sF4))))))))) = join(complement(join(complement(composition(sk2,X0)),complement(sk1))),complement(join(complement(sk1),complement(composition(sk2,complement(join(complement(X0),complement(converse(composition(top,sF4)))))))))),
inference(superposition,[],[f56,f40772]) ).
fof(f41076,plain,
! [X0] : complement(join(sF1,complement(composition(sk2,complement(join(complement(X0),complement(converse(composition(top,sF4))))))))) = join(complement(join(complement(composition(sk2,X0)),sF1)),complement(join(sF1,complement(composition(sk2,complement(join(complement(X0),complement(converse(composition(top,sF4)))))))))),
inference(forward_demodulation,[],[f41015,f35]) ).
fof(f41099,plain,
! [X0] : complement(complement(composition(sF4,complement(join(complement(X0),complement(converse(composition(top,sF4)))))))) = join(complement(join(complement(composition(sk2,X0)),sF1)),complement(complement(composition(sF4,complement(join(complement(X0),complement(converse(composition(top,sF4))))))))),
inference(forward_demodulation,[],[f41076,f15282]) ).
fof(f41118,plain,
! [X0] : composition(sF4,complement(join(complement(X0),complement(converse(composition(top,sF4)))))) = join(complement(join(complement(composition(sk2,X0)),sF1)),composition(sF4,complement(join(complement(X0),complement(converse(composition(top,sF4))))))),
inference(forward_demodulation,[],[f41099,f544]) ).
fof(f41132,plain,
! [X0] : composition(sF4,complement(complement(X0))) = join(complement(join(complement(composition(sk2,X0)),sF1)),composition(sF4,complement(complement(X0)))),
inference(forward_demodulation,[],[f41118,f13761]) ).
fof(f41142,plain,
! [X0] : composition(sF4,complement(complement(X0))) = join(composition(sF4,complement(complement(X0))),complement(join(complement(composition(sk2,X0)),sF1))),
inference(forward_demodulation,[],[f41132,f1]) ).
fof(f41148,plain,
! [X0] : composition(sF4,complement(complement(X0))) = join(composition(sF4,complement(complement(X0))),complement(join(sF1,complement(composition(sk2,X0))))),
inference(forward_demodulation,[],[f41142,f2405]) ).
fof(f41152,plain,
! [X0] : composition(sF4,X0) = join(composition(sF4,X0),complement(join(sF1,complement(composition(sk2,X0))))),
inference(forward_demodulation,[],[f41148,f544]) ).
fof(f41155,plain,
sF5 = join(sF5,complement(join(sF1,complement(composition(sk2,sk3))))),
inference(superposition,[],[f41152,f43]) ).
fof(f41241,plain,
sF5 = join(sF5,complement(join(sF1,complement(sF6)))),
inference(forward_demodulation,[],[f41155,f45]) ).
fof(f41270,plain,
sF5 = join(sF5,complement(join(sF1,sF7))),
inference(forward_demodulation,[],[f41241,f47]) ).
fof(f41288,plain,
sF5 = join(sF5,complement(sF8)),
inference(forward_demodulation,[],[f41270,f49]) ).
fof(f41298,plain,
sF5 = join(sF5,sF9),
inference(forward_demodulation,[],[f41288,f51]) ).
fof(f41317,plain,
join(sF5,complement(sF9)) = join(sF5,complement(sF5)),
inference(superposition,[],[f1092,f41298]) ).
fof(f41324,plain,
top = join(sF5,complement(sF9)),
inference(forward_demodulation,[],[f41317,f15]) ).
fof(f41333,plain,
top = join(sF5,sF8),
inference(forward_demodulation,[],[f41324,f551]) ).
fof(f41352,plain,
complement(sF8) = join(complement(top),complement(join(sF8,complement(sF5)))),
inference(superposition,[],[f620,f41333]) ).
fof(f41377,plain,
complement(sF8) = join(complement(top),complement(join(sF1,complement(sF5)))),
inference(forward_demodulation,[],[f41352,f11813]) ).
fof(f41394,plain,
complement(sF8) = join(zero,complement(join(sF1,complement(sF5)))),
inference(forward_demodulation,[],[f41377,f55]) ).
fof(f41407,plain,
complement(sF8) = complement(join(sF1,complement(sF5))),
inference(forward_demodulation,[],[f41394,f527]) ).
fof(f41415,plain,
sF9 = complement(join(sF1,complement(sF5))),
inference(forward_demodulation,[],[f41407,f51]) ).
fof(f41656,plain,
complement(sF9) = join(sF1,complement(sF5)),
inference(superposition,[],[f544,f41415]) ).
fof(f41743,plain,
sF8 = join(sF1,complement(sF5)),
inference(forward_demodulation,[],[f41656,f551]) ).
fof(f64106,plain,
zero = composition(converse(sF1),sF5),
inference(superposition,[],[f39614,f43]) ).
fof(f64370,plain,
complement(sF5) = join(complement(sF5),composition(sF1,complement(zero))),
inference(superposition,[],[f109,f64106]) ).
fof(f64457,plain,
complement(sF5) = join(complement(sF5),composition(sF1,top)),
inference(forward_demodulation,[],[f64370,f539]) ).
fof(f64491,plain,
complement(sF5) = join(complement(sF5),sF1),
inference(forward_demodulation,[],[f64457,f11745]) ).
fof(f64517,plain,
complement(sF5) = join(sF1,complement(sF5)),
inference(forward_demodulation,[],[f64491,f1]) ).
fof(f64540,plain,
sF8 = complement(sF5),
inference(forward_demodulation,[],[f64517,f41743]) ).
fof(f64709,plain,
converse(complement(converse(sF8))) = join(sF5,converse(complement(converse(sF8)))),
inference(superposition,[],[f9488,f64540]) ).
fof(f64762,plain,
complement(sF8) = join(sF5,complement(sF8)),
inference(forward_demodulation,[],[f64709,f9840]) ).
fof(f64815,plain,
sF9 = join(sF5,sF9),
inference(forward_demodulation,[],[f64762,f51]) ).
fof(f64841,plain,
sF5 = sF9,
inference(forward_demodulation,[],[f64815,f41298]) ).
fof(f64854,plain,
$false,
inference(forward_subsumption_resolution,[],[f64841,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL033-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n002.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 22:57:37 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.54 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
% 66.41/11.69 % (3982468)Detected a unit-equality problem, will run specialized UEQ schedule.
% 66.41/11.69 % (3982475)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1753712739:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 66.41/11.69 % (3982474)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4223120496:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 66.41/11.69 % (3982476)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=399875855:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 66.41/11.69 % (3982473)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1379816933:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 66.41/11.69 % (3982478)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=876751038:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 66.41/11.69 % (3982477)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=622038057:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 66.41/11.69 % (3982479)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2782122927:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 66.41/11.69 % (3982476)Instruction limit reached!
% 66.41/11.69 % (3982476)------------------------------
% 66.41/11.69 % (3982476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982476)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982476)Termination reason: Instruction limit
% 66.41/11.69 % (3982476)Termination phase: Saturation
% 66.41/11.69 % (3982476)Time elapsed: 0.140 s
% 66.41/11.69 % (3982476)Peak memory usage: 89 MB
% 66.41/11.69 % (3982476)Instructions burned: 136 (million)
% 66.41/11.69 % (3982478)Instruction limit reached!
% 66.41/11.69 % (3982478)------------------------------
% 66.41/11.69 % (3982478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982478)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982478)Termination reason: Instruction limit
% 66.41/11.69 % (3982478)Termination phase: Saturation
% 66.41/11.69 % (3982478)Time elapsed: 0.149 s
% 66.41/11.69 % (3982478)Peak memory usage: 90 MB
% 66.41/11.69 % (3982478)Instructions burned: 258 (million)
% 66.41/11.69 % (3982477)Instruction limit reached!
% 66.41/11.69 % (3982477)------------------------------
% 66.41/11.69 % (3982477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982477)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982477)Termination reason: Instruction limit
% 66.41/11.69 % (3982477)Termination phase: Saturation
% 66.41/11.69 % (3982477)Time elapsed: 0.182 s
% 66.41/11.69 % (3982477)Peak memory usage: 89 MB
% 66.41/11.69 % (3982477)Instructions burned: 181 (million)
% 66.41/11.69 % (3982488)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=627306412:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 66.41/11.69 % (3982487)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1451711314:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 66.41/11.69 % (3982489)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4208817385:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 66.41/11.69 % (3982489)Instruction limit reached!
% 66.41/11.69 % (3982489)------------------------------
% 66.41/11.69 % (3982489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982489)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982489)Termination reason: Instruction limit
% 66.41/11.69 % (3982489)Termination phase: Saturation
% 66.41/11.69 % (3982489)Time elapsed: 0.211 s
% 66.41/11.69 % (3982489)Peak memory usage: 92 MB
% 66.41/11.69 % (3982489)Instructions burned: 216 (million)
% 66.41/11.69 % (3982493)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1354070705:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 66.41/11.69 % (3982479)Instruction limit reached!
% 66.41/11.69 % (3982479)------------------------------
% 66.41/11.69 % (3982479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982479)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982479)Termination reason: Instruction limit
% 66.41/11.69 % (3982479)Termination phase: Saturation
% 66.41/11.69 % (3982479)Time elapsed: 1.103 s
% 66.41/11.69 % (3982479)Peak memory usage: 101 MB
% 66.41/11.69 % (3982479)Instructions burned: 1187 (million)
% 66.41/11.69 % (3982493)Instruction limit reached!
% 66.41/11.69 % (3982493)------------------------------
% 66.41/11.69 % (3982493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982493)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982493)Termination reason: Instruction limit
% 66.41/11.69 % (3982493)Termination phase: Saturation
% 66.41/11.69 % (3982493)Time elapsed: 0.288 s
% 66.41/11.69 % (3982493)Peak memory usage: 90 MB
% 66.41/11.69 % (3982493)Instructions burned: 317 (million)
% 66.41/11.69 % (3982495)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=634258954:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 66.41/11.69 % (3982496)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3208358826:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 66.41/11.69 % (3982487)Instruction limit reached!
% 66.41/11.69 % (3982487)------------------------------
% 66.41/11.69 % (3982487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982487)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982487)Termination reason: Instruction limit
% 66.41/11.69 % (3982487)Termination phase: Saturation
% 66.41/11.69 % (3982487)Time elapsed: 2.334 s
% 66.41/11.69 % (3982487)Peak memory usage: 141 MB
% 66.41/11.69 % (3982487)Instructions burned: 2051 (million)
% 66.41/11.69 % (3982499)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=846151467:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2970 on theBenchmark for (2970ds/14534Mi)
% 66.41/11.69 % (3982496)Instruction limit reached!
% 66.41/11.69 % (3982496)------------------------------
% 66.41/11.69 % (3982496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982496)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982496)Termination reason: Instruction limit
% 66.41/11.69 % (3982496)Termination phase: Saturation
% 66.41/11.69 % (3982496)Time elapsed: 3.037 s
% 66.41/11.69 % (3982496)Peak memory usage: 129 MB
% 66.41/11.69 % (3982496)Instructions burned: 2836 (million)
% 66.41/11.69 % (3982501)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3187561591:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2951 on theBenchmark for (2951ds/11832Mi)
% 66.41/11.69 % (3982488)Instruction limit reached!
% 66.41/11.69 % (3982488)------------------------------
% 66.41/11.69 % (3982488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982488)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982488)Termination reason: Instruction limit
% 66.41/11.69 % (3982488)Termination phase: Saturation
% 66.41/11.69 % (3982488)Time elapsed: 4.748 s
% 66.41/11.69 % (3982488)Peak memory usage: 166 MB
% 66.41/11.69 % (3982488)Instructions burned: 4948 (million)
% 66.41/11.69 % (3982503)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2820016425:i=2279:fgj=on:bd=all_2946 on theBenchmark for (2946ds/2279Mi)
% 66.41/11.69 % (3982503)Instruction limit reached!
% 66.41/11.69 % (3982503)------------------------------
% 66.41/11.69 % (3982503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.41/11.69 % (3982503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.41/11.69 % (3982503)CaDiCaL version: 2.1.3
% 66.41/11.69 % (3982503)Termination reason: Instruction limit
% 66.41/11.69 % (3982503)Termination phase: Saturation
% 66.41/11.69 % (3982503)Time elapsed: 2.533 s
% 66.41/11.69 % (3982503)Peak memory usage: 140 MB
% 66.41/11.69 % (3982503)Instructions burned: 2279 (million)
% 66.41/11.69 % (3982505)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3179702933:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2917 on theBenchmark for (2917ds/6225Mi)
% 66.41/11.69 % (3982495)First to succeed.
% 66.41/11.69 % (3982495)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3982468"
% 66.41/11.69 % (3982495)Refutation found. Thanks to Tanya!
% 66.41/11.69 % SZS status Unsatisfiable for theBenchmark
% 66.41/11.69 % SZS output start Proof for theBenchmark
% See solution above
% 76.35/12.03 % (3982495)------------------------------
% 76.35/12.03 % (3982495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.35/12.03 % (3982495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.35/12.03 % (3982495)CaDiCaL version: 2.1.3
% 76.35/12.03 % (3982495)Termination reason: Refutation
% 76.35/12.03 % (3982495)Time elapsed: 8.501 s
% 76.35/12.03 % (3982495)Peak memory usage: 201 MB
% 76.35/12.03 % (3982495)Instructions burned: 8131 (million)
% 76.35/12.03 % (3982495)------------------------------
% 76.35/12.03 % (3982495)------------------------------
% 76.35/12.03 % (3982468)Success in time 10.718 s
% 76.35/12.03 % Vampire exiting
%------------------------------------------------------------------------------