%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL017-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:45 PM UTC 2026
% Result : Unsatisfiable 19.55s 4.03s
% Output : Refutation 20.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 25
% Syntax : Number of formulae : 158 ( 158 unt; 12 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 175 ( 175 !; 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(f8,negated_conjecture,
! [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,negated_conjecture,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,negated_conjecture,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,negated_conjecture,
! [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,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(complement(composition(sk1,sk2)),composition(sk1,sk3)) != join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f19,plain,
join(complement(composition(sk1,sk2)),composition(sk1,sk3)) != join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),composition(sk1,sk3)),
inference(definition_unfolding,[],[f17,f6]) ).
fof(f20,definition,
sF0 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
composition(sk1,sk2) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = composition(sk1,sk3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
composition(sk1,sk3) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
complement(sk2) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
complement(sk3) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = join(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
join(sF4,sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = composition(sk1,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
composition(sk1,sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = join(sF10,sF2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
join(sF10,sF2) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
sF3 != sF11,
inference(definition_folding,[],[f19,f43,f25,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f45,plain,
zero = complement(top),
inference(backward_demodulation,[],[f18,f15]) ).
fof(f46,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f47,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f48,plain,
sF3 = join(sF2,sF1),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f49,plain,
sF11 = join(sF2,sF10),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f60,plain,
! [X0] : join(complement(join(complement(X0),sk2)),complement(join(complement(X0),sF4))) = X0,
inference(superposition,[],[f47,f29]) ).
fof(f69,plain,
! [X0] : join(complement(join(complement(X0),sF4)),complement(join(complement(X0),sk2))) = X0,
inference(forward_demodulation,[],[f60,f1]) ).
fof(f74,plain,
! [X0] : join(complement(join(complement(X0),sF4)),complement(join(sk2,complement(X0)))) = X0,
inference(forward_demodulation,[],[f69,f1]) ).
fof(f79,plain,
! [X0] : join(complement(join(sk2,complement(X0))),complement(join(complement(X0),sF4))) = X0,
inference(forward_demodulation,[],[f74,f1]) ).
fof(f83,plain,
! [X0] : join(complement(join(sk2,complement(X0))),complement(join(sF4,complement(X0)))) = X0,
inference(forward_demodulation,[],[f79,f1]) ).
fof(f85,plain,
! [X0] : join(complement(join(sF4,complement(X0))),complement(join(sk2,complement(X0)))) = X0,
inference(forward_demodulation,[],[f83,f1]) ).
fof(f107,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f47,f15]) ).
fof(f108,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f107,f45]) ).
fof(f123,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f47,f1]) ).
fof(f142,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(f145,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f147,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f161,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f164,plain,
top = join(top,zero),
inference(superposition,[],[f15,f45]) ).
fof(f212,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f123,f15]) ).
fof(f219,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f241,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f219,f1]) ).
fof(f253,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f241,f45]) ).
fof(f261,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f108,f253]) ).
fof(f264,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f253,f261]) ).
fof(f275,plain,
top = complement(zero),
inference(superposition,[],[f261,f45]) ).
fof(f276,plain,
sk2 = complement(sF4),
inference(superposition,[],[f261,f29]) ).
fof(f277,plain,
sk3 = complement(sF5),
inference(superposition,[],[f261,f31]) ).
fof(f284,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f47,f261]) ).
fof(f287,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f123,f261]) ).
fof(f301,plain,
sk3 = sF6,
inference(forward_demodulation,[],[f277,f33]) ).
fof(f304,plain,
sF2 = composition(sk1,sF6),
inference(backward_demodulation,[],[f25,f301]) ).
fof(f320,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f284,f1]) ).
fof(f341,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f284,f284]) ).
fof(f346,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,[],[f341,f1]) ).
fof(f361,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(join(X0,complement(X1)),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f346,f1]) ).
fof(f368,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f361,f2]) ).
fof(f372,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f368,f261]) ).
fof(f374,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f372,f261]) ).
fof(f562,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f566,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f46,f10]) ).
fof(f593,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f562,f8]) ).
fof(f604,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f593,f10]) ).
fof(f629,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(join(X0,X0)),complement(zero)))),
inference(superposition,[],[f320,f264]) ).
fof(f650,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f287,f320]) ).
fof(f661,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f650,f1]) ).
fof(f672,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(zero),complement(join(X0,X0))))),
inference(forward_demodulation,[],[f629,f1]) ).
fof(f683,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f661,f1]) ).
fof(f691,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f672,f275]) ).
fof(f699,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f683,f2]) ).
fof(f705,plain,
! [X0] : complement(complement(join(X0,X0))) = join(X0,complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f691,f261]) ).
fof(f712,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f699,f261]) ).
fof(f717,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f705,f261]) ).
fof(f724,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f712,f261]) ).
fof(f729,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f147,f15]) ).
fof(f787,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f729,f161]) ).
fof(f883,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(join(X1,X0),complement(X0)),
inference(superposition,[],[f145,f320]) ).
fof(f922,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f883,f1]) ).
fof(f934,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f922,f161]) ).
fof(f939,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f934,f145]) ).
fof(f1200,plain,
! [X0] : join(top,complement(join(sk2,complement(X0)))) = join(join(sF4,complement(X0)),X0),
inference(superposition,[],[f145,f85]) ).
fof(f1219,plain,
! [X0] : join(top,complement(join(sk2,complement(X0)))) = join(X0,join(sF4,complement(X0))),
inference(forward_demodulation,[],[f1200,f1]) ).
fof(f1236,plain,
! [X0] : join(top,complement(join(sk2,complement(X0)))) = join(top,sF4),
inference(forward_demodulation,[],[f1219,f787]) ).
fof(f1248,plain,
! [X0] : join(sF4,top) = join(top,complement(join(sk2,complement(X0)))),
inference(forward_demodulation,[],[f1236,f1]) ).
fof(f1258,plain,
! [X0] : join(top,X0) = join(sF4,top),
inference(forward_demodulation,[],[f1248,f939]) ).
fof(f1288,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(sF4,top))),
inference(backward_demodulation,[],[f717,f1258]) ).
fof(f1292,plain,
top = join(sF4,top),
inference(backward_demodulation,[],[f164,f1258]) ).
fof(f1295,plain,
! [X0] : join(X0,X0) = join(X0,complement(top)),
inference(forward_demodulation,[],[f1288,f1292]) ).
fof(f1323,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f1295,f45]) ).
fof(f1356,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X1,join(X0,zero)),
inference(superposition,[],[f161,f1323]) ).
fof(f1357,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,join(X0,zero)),
inference(superposition,[],[f161,f1323]) ).
fof(f1375,plain,
! [X0] : join(zero,X0) = join(X0,X0),
inference(superposition,[],[f1,f1323]) ).
fof(f1545,plain,
! [X0,X1] : join(X0,join(X1,zero)) = join(X1,join(X0,X0)),
inference(superposition,[],[f161,f1375]) ).
fof(f2316,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f566,f604]) ).
fof(f2322,plain,
one = converse(one),
inference(superposition,[],[f8,f604]) ).
fof(f2325,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f604,f2322]) ).
fof(f2331,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f2316,f2325]) ).
fof(f2334,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f2331,f1323]) ).
fof(f2337,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2334,f1]) ).
fof(f2342,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(backward_demodulation,[],[f264,f2337]) ).
fof(f2399,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f261,f2342]) ).
fof(f2409,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f2399,f261]) ).
fof(f2437,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,zero)),
inference(backward_demodulation,[],[f1545,f2409]) ).
fof(f2486,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f1356,f2437]) ).
fof(f2487,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(backward_demodulation,[],[f1357,f2437]) ).
fof(f2969,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f2486,f320]) ).
fof(f3040,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f2969,f1]) ).
fof(f3057,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f374,f3040]) ).
fof(f3064,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f724,f3057]) ).
fof(f3067,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f3064,f2487]) ).
fof(f3093,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f3067,f1]) ).
fof(f3118,plain,
join(sF6,complement(sF4)) = join(sF6,complement(sF7)),
inference(superposition,[],[f3067,f35]) ).
fof(f3174,plain,
join(sF6,complement(sF4)) = join(sF6,sF8),
inference(forward_demodulation,[],[f3118,f37]) ).
fof(f3213,plain,
join(sF6,sk2) = join(sF6,sF8),
inference(forward_demodulation,[],[f3174,f276]) ).
fof(f7867,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f142,f12]) ).
fof(f7910,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f7867,f11]) ).
fof(f7933,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f7910,f11]) ).
fof(f7944,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,X1))) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f7933,f12]) ).
fof(f8914,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f7944]) ).
fof(f8939,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f8914,f10]) ).
fof(f9017,plain,
! [X0] : composition(sk1,join(sF6,X0)) = join(sF2,composition(sk1,X0)),
inference(superposition,[],[f8939,f304]) ).
fof(f9038,plain,
! [X0] : composition(sk1,join(X0,sF8)) = join(composition(sk1,X0),sF9),
inference(superposition,[],[f8939,f39]) ).
fof(f9092,plain,
! [X0] : join(sF9,composition(sk1,X0)) = composition(sk1,join(X0,sF8)),
inference(forward_demodulation,[],[f9038,f1]) ).
fof(f9175,plain,
join(sF2,composition(sk1,sk2)) = composition(sk1,join(sF6,sF8)),
inference(superposition,[],[f9017,f3213]) ).
fof(f9224,plain,
join(sF2,composition(sk1,sk2)) = join(sF9,composition(sk1,sF6)),
inference(forward_demodulation,[],[f9175,f9092]) ).
fof(f9235,plain,
join(sF2,composition(sk1,sk2)) = join(sF9,sF2),
inference(forward_demodulation,[],[f9224,f304]) ).
fof(f9240,plain,
join(sF2,sF9) = join(sF2,composition(sk1,sk2)),
inference(forward_demodulation,[],[f9235,f1]) ).
fof(f9242,plain,
join(sF2,sF9) = join(sF2,sF0),
inference(forward_demodulation,[],[f9240,f21]) ).
fof(f9261,plain,
join(sF2,complement(join(sF2,sF0))) = join(sF2,complement(sF9)),
inference(superposition,[],[f3093,f9242]) ).
fof(f9266,plain,
join(sF2,sF10) = join(sF2,complement(join(sF2,sF0))),
inference(forward_demodulation,[],[f9261,f41]) ).
fof(f9279,plain,
join(sF2,sF10) = join(sF2,complement(sF0)),
inference(forward_demodulation,[],[f9266,f3093]) ).
fof(f9290,plain,
join(sF2,sF1) = join(sF2,sF10),
inference(forward_demodulation,[],[f9279,f23]) ).
fof(f9296,plain,
sF11 = join(sF2,sF1),
inference(forward_demodulation,[],[f9290,f49]) ).
fof(f9300,plain,
sF3 = sF11,
inference(forward_demodulation,[],[f9296,f48]) ).
fof(f9302,plain,
$false,
inference(forward_subsumption_resolution,[],[f9300,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL017-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:52:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 19.55/4.03 % (1387929)Detected a unit-equality problem, will run specialized UEQ schedule.
% 19.55/4.03 % (1387938)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2337746783:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 19.55/4.03 % (1387935)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=447329393:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 19.55/4.03 % (1387934)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=2316191987:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 19.55/4.03 % (1387936)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4192866666:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 19.55/4.03 % (1387937)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=533844831:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 19.55/4.03 % (1387940)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=993324807:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 19.55/4.03 % (1387939)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=634223330:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 19.55/4.03 % (1387938)Instruction limit reached!
% 19.55/4.03 % (1387938)------------------------------
% 19.55/4.03 % (1387938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387938)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387938)Termination reason: Instruction limit
% 19.55/4.03 % (1387938)Termination phase: Saturation
% 19.55/4.03 % (1387938)Time elapsed: 0.099 s
% 19.55/4.03 % (1387938)Peak memory usage: 89 MB
% 19.55/4.03 % (1387938)Instructions burned: 183 (million)
% 19.55/4.03 % (1387937)Instruction limit reached!
% 19.55/4.03 % (1387937)------------------------------
% 19.55/4.03 % (1387937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387937)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387937)Termination reason: Instruction limit
% 19.55/4.03 % (1387937)Termination phase: Saturation
% 19.55/4.03 % (1387937)Time elapsed: 0.139 s
% 19.55/4.03 % (1387937)Peak memory usage: 89 MB
% 19.55/4.03 % (1387937)Instructions burned: 137 (million)
% 19.55/4.03 % (1387939)Instruction limit reached!
% 19.55/4.03 % (1387939)------------------------------
% 19.55/4.03 % (1387939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387939)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387939)Termination reason: Instruction limit
% 19.55/4.03 % (1387939)Termination phase: Saturation
% 19.55/4.03 % (1387939)Time elapsed: 0.295 s
% 19.55/4.03 % (1387939)Peak memory usage: 90 MB
% 19.55/4.03 % (1387939)Instructions burned: 257 (million)
% 19.55/4.03 % (1387948)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2566323682:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 19.55/4.03 % (1387949)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1120504215:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 19.55/4.03 % (1387950)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4127843637:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 19.55/4.03 % (1387950)Instruction limit reached!
% 19.55/4.03 % (1387950)------------------------------
% 19.55/4.03 % (1387950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387950)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387950)Termination reason: Instruction limit
% 19.55/4.03 % (1387950)Termination phase: Saturation
% 19.55/4.03 % (1387950)Time elapsed: 0.194 s
% 19.55/4.03 % (1387950)Peak memory usage: 89 MB
% 19.55/4.03 % (1387950)Instructions burned: 216 (million)
% 19.55/4.03 % (1387954)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=2853064358:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2988 on theBenchmark for (2988ds/317Mi)
% 19.55/4.03 % (1387940)Instruction limit reached!
% 19.55/4.03 % (1387940)------------------------------
% 19.55/4.03 % (1387940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387940)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387940)Termination reason: Instruction limit
% 19.55/4.03 % (1387940)Termination phase: Saturation
% 19.55/4.03 % (1387940)Time elapsed: 1.126 s
% 19.55/4.03 % (1387940)Peak memory usage: 99 MB
% 19.55/4.03 % (1387940)Instructions burned: 1187 (million)
% 19.55/4.03 % (1387954)Instruction limit reached!
% 19.55/4.03 % (1387954)------------------------------
% 19.55/4.03 % (1387954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387954)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387954)Termination reason: Instruction limit
% 19.55/4.03 % (1387954)Termination phase: Saturation
% 19.55/4.03 % (1387954)Time elapsed: 0.177 s
% 19.55/4.03 % (1387954)Peak memory usage: 93 MB
% 19.55/4.03 % (1387954)Instructions burned: 318 (million)
% 19.55/4.03 % (1387956)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=204221913:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 19.55/4.03 % (1387957)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1854051256:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 19.55/4.03 % (1387936)First to succeed.
% 19.55/4.03 % (1387936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1387929"
% 19.55/4.03 % (1387934)Also succeeded, but the first one will report.
% 19.55/4.03 % (1387948)Instruction limit reached!
% 19.55/4.03 % (1387948)------------------------------
% 19.55/4.03 % (1387948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/4.03 % (1387948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/4.03 % (1387948)CaDiCaL version: 2.1.3
% 19.55/4.03 % (1387948)Termination reason: Instruction limit
% 19.55/4.03 % (1387948)Termination phase: Saturation
% 19.55/4.03 % (1387948)Time elapsed: 1.944 s
% 19.55/4.03 % (1387948)Peak memory usage: 140 MB
% 19.55/4.03 % (1387948)Instructions burned: 2051 (million)
% 19.55/4.03 % (1387936)Refutation found. Thanks to Tanya!
% 19.55/4.03 % SZS status Unsatisfiable for theBenchmark
% 19.55/4.03 % SZS output start Proof for theBenchmark
% See solution above
% 20.69/4.38 % (1387936)------------------------------
% 20.69/4.38 % (1387936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/4.38 % (1387936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/4.38 % (1387936)CaDiCaL version: 2.1.3
% 20.69/4.38 % (1387936)Termination reason: Refutation
% 20.69/4.38 % (1387936)Time elapsed: 2.049 s
% 20.69/4.38 % (1387936)Peak memory usage: 137 MB
% 20.69/4.38 % (1387936)Instructions burned: 1844 (million)
% 20.69/4.38 % (1387936)------------------------------
% 20.69/4.38 % (1387936)------------------------------
% 20.69/4.38 % (1387929)Success in time 2.802 s
% 20.69/4.38 % Vampire exiting
%------------------------------------------------------------------------------