TSTP Solution File: REL029-3 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : REL029-3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 13:59:13 EDT 2024
% Result : Unsatisfiable 39.05s 5.92s
% Output : Refutation 39.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 139
% Number of leaves : 26
% Syntax : Number of formulae : 500 ( 500 unt; 0 def)
% Number of atoms : 500 ( 499 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 341 ( 341 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87481,plain,
$false,
inference(subsumption_resolution,[],[f87480,f29]) ).
fof(f29,plain,
sF4 != sF6,
inference(definition_folding,[],[f19,f28,f27,f26,f25,f24]) ).
fof(f24,plain,
composition(sk1,sk3) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f25,plain,
composition(sk2,sk3) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f26,plain,
meet(sF2,sF3) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f27,plain,
meet(sk1,sk2) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
fof(f28,plain,
composition(sF5,sk3) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f19,axiom,
meet(composition(sk1,sk3),composition(sk2,sk3)) != composition(meet(sk1,sk2),sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f87480,plain,
sF4 = sF6,
inference(backward_demodulation,[],[f83774,f87479]) ).
fof(f87479,plain,
sF4 = join(sF4,sF6),
inference(forward_demodulation,[],[f87478,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f87478,plain,
sF4 = join(sF6,sF4),
inference(forward_demodulation,[],[f87477,f33416]) ).
fof(f33416,plain,
sF4 = meet(sk3,sF4),
inference(forward_demodulation,[],[f33400,f3568]) ).
fof(f3568,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f47,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f47,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f33400,plain,
sF4 = meet(sF4,sk3),
inference(superposition,[],[f29526,f33071]) ).
fof(f33071,plain,
sk3 = join(sk3,sF3),
inference(forward_demodulation,[],[f33070,f32689]) ).
fof(f32689,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f32348,f18297]) ).
fof(f18297,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f17147,f18296]) ).
fof(f18296,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[],[f18295,f17714]) ).
fof(f17714,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f17713,f51]) ).
fof(f51,plain,
zero = complement(top),
inference(forward_demodulation,[],[f46,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f46,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17713,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f17700,f12]) ).
fof(f17700,plain,
! [X0] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(superposition,[],[f194,f17148]) ).
fof(f17148,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f200,f17129]) ).
fof(f17129,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f16622,f17128]) ).
fof(f17128,plain,
! [X0] : join(zero,meet(X0,join(X0,top))) = X0,
inference(forward_demodulation,[],[f16855,f51]) ).
fof(f16855,plain,
! [X0] : join(complement(top),meet(X0,join(X0,top))) = X0,
inference(backward_demodulation,[],[f6374,f16835]) ).
fof(f16835,plain,
top = join(top,top),
inference(forward_demodulation,[],[f16834,f6826]) ).
fof(f6826,plain,
! [X0,X1] : join(X1,top) = join(top,join(X1,join(X0,complement(join(top,X0))))),
inference(superposition,[],[f3015,f99]) ).
fof(f99,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3015,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f3014,f913]) ).
fof(f913,plain,
! [X0] : join(top,X0) = join(top,join(converse(sk1),X0)),
inference(superposition,[],[f2,f898]) ).
fof(f898,plain,
top = join(top,converse(sk1)),
inference(forward_demodulation,[],[f890,f1]) ).
fof(f890,plain,
top = join(converse(sk1),top),
inference(superposition,[],[f122,f12]) ).
fof(f122,plain,
! [X0] : join(converse(top),X0) = join(converse(sk1),join(converse(top),X0)),
inference(superposition,[],[f2,f121]) ).
fof(f121,plain,
converse(top) = join(converse(sk1),converse(top)),
inference(superposition,[],[f9,f111]) ).
fof(f111,plain,
top = join(sk1,top),
inference(superposition,[],[f90,f12]) ).
fof(f90,plain,
! [X0] : join(one,X0) = join(sk1,join(one,X0)),
inference(superposition,[],[f2,f30]) ).
fof(f30,plain,
one = join(sk1,one),
inference(backward_demodulation,[],[f20,f21]) ).
fof(f21,plain,
one = sF0,
inference(definition_folding,[],[f17,f20]) ).
fof(f17,axiom,
one = join(sk1,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f20,plain,
join(sk1,one) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3014,plain,
! [X0,X1] : join(X0,join(top,X1)) = join(top,join(converse(sk1),join(X0,X1))),
inference(forward_demodulation,[],[f3013,f2]) ).
fof(f3013,plain,
! [X0,X1] : join(X0,join(top,X1)) = join(top,join(join(converse(sk1),X0),X1)),
inference(forward_demodulation,[],[f2968,f2]) ).
fof(f2968,plain,
! [X0,X1] : join(X0,join(top,X1)) = join(join(top,join(converse(sk1),X0)),X1),
inference(superposition,[],[f2,f2907]) ).
fof(f2907,plain,
! [X0] : join(X0,top) = join(top,join(converse(sk1),X0)),
inference(forward_demodulation,[],[f2867,f97]) ).
fof(f97,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f2867,plain,
! [X0] : join(X0,top) = join(converse(sk1),join(X0,top)),
inference(superposition,[],[f2837,f1]) ).
fof(f2837,plain,
! [X0] : join(top,X0) = join(converse(sk1),join(top,X0)),
inference(superposition,[],[f1006,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1006,plain,
! [X0] : join(top,converse(X0)) = join(converse(sk1),join(top,converse(X0))),
inference(forward_demodulation,[],[f1005,f8]) ).
fof(f1005,plain,
! [X0] : join(converse(converse(top)),converse(X0)) = join(converse(sk1),join(converse(converse(top)),converse(X0))),
inference(forward_demodulation,[],[f1003,f9]) ).
fof(f1003,plain,
! [X0] : converse(join(converse(top),X0)) = join(converse(sk1),converse(join(converse(top),X0))),
inference(superposition,[],[f9,f917]) ).
fof(f917,plain,
! [X0] : join(converse(top),X0) = join(sk1,join(converse(top),X0)),
inference(superposition,[],[f2,f916]) ).
fof(f916,plain,
converse(top) = join(sk1,converse(top)),
inference(forward_demodulation,[],[f915,f1]) ).
fof(f915,plain,
converse(top) = join(converse(top),sk1),
inference(forward_demodulation,[],[f914,f8]) ).
fof(f914,plain,
converse(top) = join(converse(top),converse(converse(sk1))),
inference(superposition,[],[f9,f898]) ).
fof(f16834,plain,
top = join(top,join(top,join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f16823,f2]) ).
fof(f16823,plain,
top = join(top,join(join(top,top),complement(join(top,top)))),
inference(superposition,[],[f99,f16674]) ).
fof(f16674,plain,
join(top,top) = join(top,join(top,top)),
inference(forward_demodulation,[],[f16673,f94]) ).
fof(f94,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
top = join(top,zero),
inference(superposition,[],[f12,f51]) ).
fof(f16673,plain,
join(top,join(top,top)) = join(top,join(zero,top)),
inference(forward_demodulation,[],[f16672,f97]) ).
fof(f16672,plain,
join(top,join(top,top)) = join(zero,join(top,top)),
inference(forward_demodulation,[],[f16671,f2]) ).
fof(f16671,plain,
join(zero,join(top,top)) = join(join(top,top),top),
inference(forward_demodulation,[],[f16670,f6228]) ).
fof(f6228,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f89,f12]) ).
fof(f89,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f16670,plain,
join(zero,join(top,top)) = join(top,complement(complement(join(top,top)))),
inference(forward_demodulation,[],[f16669,f94]) ).
fof(f16669,plain,
join(zero,join(top,top)) = join(top,join(zero,complement(complement(join(top,top))))),
inference(forward_demodulation,[],[f16604,f8872]) ).
fof(f8872,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f86,f2]) ).
fof(f86,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f16604,plain,
join(zero,join(top,top)) = join(zero,join(top,complement(complement(join(top,top))))),
inference(superposition,[],[f16290,f3124]) ).
fof(f3124,plain,
! [X0] : join(top,top) = join(X0,join(top,complement(X0))),
inference(superposition,[],[f3015,f12]) ).
fof(f16290,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f16267]) ).
fof(f16267,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f16266,f51]) ).
fof(f16266,plain,
complement(top) = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f16265,f3582]) ).
fof(f3582,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f3565,f51]) ).
fof(f3565,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f47,f12]) ).
fof(f16265,plain,
complement(top) = join(meet(complement(top),top),complement(join(top,top))),
inference(forward_demodulation,[],[f16140,f1]) ).
fof(f16140,plain,
complement(top) = join(complement(join(top,top)),meet(complement(top),top)),
inference(superposition,[],[f6537,f12]) ).
fof(f6537,plain,
! [X0] : join(complement(join(top,top)),meet(X0,join(top,X0))) = X0,
inference(forward_demodulation,[],[f6513,f1049]) ).
fof(f1049,plain,
! [X0] : join(top,X0) = join(top,join(converse(sk2),X0)),
inference(superposition,[],[f2,f1034]) ).
fof(f1034,plain,
top = join(top,converse(sk2)),
inference(forward_demodulation,[],[f1026,f1]) ).
fof(f1026,plain,
top = join(converse(sk2),top),
inference(superposition,[],[f154,f12]) ).
fof(f154,plain,
! [X0] : join(converse(top),X0) = join(converse(sk2),join(converse(top),X0)),
inference(superposition,[],[f2,f153]) ).
fof(f153,plain,
converse(top) = join(converse(sk2),converse(top)),
inference(superposition,[],[f9,f143]) ).
fof(f143,plain,
top = join(sk2,top),
inference(superposition,[],[f91,f12]) ).
fof(f91,plain,
! [X0] : join(one,X0) = join(sk2,join(one,X0)),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
one = join(sk2,one),
inference(backward_demodulation,[],[f22,f23]) ).
fof(f23,plain,
one = sF1,
inference(definition_folding,[],[f18,f22]) ).
fof(f18,axiom,
one = join(sk2,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f22,plain,
join(sk2,one) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f6513,plain,
! [X0] : join(complement(join(top,top)),meet(X0,join(top,join(converse(sk2),X0)))) = X0,
inference(superposition,[],[f6374,f3591]) ).
fof(f3591,plain,
! [X0] : join(X0,top) = join(top,join(converse(sk2),X0)),
inference(superposition,[],[f3178,f1]) ).
fof(f3178,plain,
! [X0] : join(X0,top) = join(top,join(X0,converse(sk2))),
inference(superposition,[],[f3015,f1034]) ).
fof(f6374,plain,
! [X0] : join(complement(join(top,top)),meet(X0,join(X0,top))) = X0,
inference(backward_demodulation,[],[f3558,f6228]) ).
fof(f3558,plain,
! [X0] : join(complement(join(top,top)),meet(X0,join(top,complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3525,f1]) ).
fof(f3525,plain,
! [X0] : join(meet(X0,join(top,complement(complement(X0)))),complement(join(top,top))) = X0,
inference(superposition,[],[f35,f3124]) ).
fof(f35,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f34,f1]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f33,f4]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f16622,plain,
! [X0] : join(zero,X0) = join(zero,meet(X0,join(X0,top))),
inference(superposition,[],[f16290,f6374]) ).
fof(f200,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f188,f4]) ).
fof(f188,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f35,f13]) ).
fof(f194,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f35,f1]) ).
fof(f18295,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(forward_demodulation,[],[f18294,f51]) ).
fof(f18294,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(forward_demodulation,[],[f18122,f18101]) ).
fof(f18101,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f913,f17894]) ).
fof(f17894,plain,
! [X0] : top = join(top,join(converse(sk1),X0)),
inference(backward_demodulation,[],[f2907,f17741]) ).
fof(f17741,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[],[f16885,f17739]) ).
fof(f17739,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f17738,f89]) ).
fof(f17738,plain,
! [X0] : top = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f17701,f97]) ).
fof(f17701,plain,
! [X0] : top = join(complement(X0),join(complement(X0),X0)),
inference(superposition,[],[f52,f17148]) ).
fof(f52,plain,
! [X0,X1] : top = join(complement(X0),join(complement(X1),meet(X0,X1))),
inference(forward_demodulation,[],[f50,f2]) ).
fof(f50,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f12,f4]) ).
fof(f16885,plain,
! [X0] : top = join(X0,join(top,complement(join(sk1,X0)))),
inference(backward_demodulation,[],[f8229,f16835]) ).
fof(f8229,plain,
! [X0] : join(top,top) = join(X0,join(top,complement(join(sk1,X0)))),
inference(superposition,[],[f6827,f3015]) ).
fof(f6827,plain,
! [X0] : join(top,top) = join(top,join(X0,complement(join(sk1,X0)))),
inference(superposition,[],[f1435,f99]) ).
fof(f1435,plain,
! [X0] : join(top,X0) = join(top,join(sk1,X0)),
inference(superposition,[],[f1432,f8]) ).
fof(f1432,plain,
! [X0] : join(top,converse(X0)) = join(top,join(sk1,converse(X0))),
inference(forward_demodulation,[],[f1431,f1]) ).
fof(f1431,plain,
! [X0] : join(converse(X0),top) = join(top,join(sk1,converse(X0))),
inference(forward_demodulation,[],[f1430,f8]) ).
fof(f1430,plain,
! [X0] : join(converse(X0),top) = join(top,join(converse(converse(sk1)),converse(X0))),
inference(forward_demodulation,[],[f1429,f97]) ).
fof(f1429,plain,
! [X0] : join(converse(X0),top) = join(converse(converse(sk1)),join(converse(X0),top)),
inference(forward_demodulation,[],[f1428,f8]) ).
fof(f1428,plain,
! [X0] : join(converse(X0),converse(converse(top))) = join(converse(converse(sk1)),join(converse(X0),converse(converse(top)))),
inference(forward_demodulation,[],[f1426,f9]) ).
fof(f1426,plain,
! [X0] : converse(join(X0,converse(top))) = join(converse(converse(sk1)),converse(join(X0,converse(top)))),
inference(superposition,[],[f9,f886]) ).
fof(f886,plain,
! [X0] : join(X0,converse(top)) = join(converse(sk1),join(X0,converse(top))),
inference(superposition,[],[f122,f1]) ).
fof(f18122,plain,
! [X0,X1] : join(meet(X0,top),complement(join(top,join(complement(X0),X1)))) = X0,
inference(backward_demodulation,[],[f3236,f18101]) ).
fof(f3236,plain,
! [X0,X1] : join(meet(X0,join(top,X1)),complement(join(top,join(complement(X0),X1)))) = X0,
inference(superposition,[],[f35,f3015]) ).
fof(f17147,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f84,f17129]) ).
fof(f84,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f80,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f51]) ).
fof(f32348,plain,
! [X0] : complement(X0) = composition(one,complement(X0)),
inference(superposition,[],[f28826,f8]) ).
fof(f28826,plain,
! [X0] : complement(converse(X0)) = composition(one,complement(converse(X0))),
inference(backward_demodulation,[],[f943,f28825]) ).
fof(f28825,plain,
! [X0] : composition(one,complement(X0)) = join(complement(X0),composition(one,complement(X0))),
inference(forward_demodulation,[],[f28760,f1]) ).
fof(f28760,plain,
! [X0] : composition(one,complement(X0)) = join(composition(one,complement(X0)),complement(X0)),
inference(superposition,[],[f28535,f26525]) ).
fof(f26525,plain,
! [X0] : meet(X0,composition(one,X0)) = X0,
inference(backward_demodulation,[],[f25103,f26524]) ).
fof(f26524,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f26379,f1]) ).
fof(f26379,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f22554,f207]) ).
fof(f207,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f197,f1]) ).
fof(f197,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f35,f4]) ).
fof(f22554,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f22510]) ).
fof(f22510,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f22509,f18339]) ).
fof(f18339,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f18338,f18301]) ).
fof(f18301,plain,
! [X0] : meet(top,X0) = X0,
inference(backward_demodulation,[],[f17146,f18297]) ).
fof(f17146,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f81,f17129]) ).
fof(f81,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f4,f51]) ).
fof(f18338,plain,
! [X0,X1] : meet(X0,join(meet(top,X0),X1)) = X0,
inference(forward_demodulation,[],[f18337,f17714]) ).
fof(f18337,plain,
! [X0,X1] : join(meet(X0,join(meet(top,X0),X1)),zero) = X0,
inference(forward_demodulation,[],[f18173,f51]) ).
fof(f18173,plain,
! [X0,X1] : join(meet(X0,join(meet(top,X0),X1)),complement(top)) = X0,
inference(backward_demodulation,[],[f17220,f18101]) ).
fof(f17220,plain,
! [X0,X1] : join(meet(X0,join(meet(top,X0),X1)),complement(join(top,X1))) = X0,
inference(backward_demodulation,[],[f6348,f17146]) ).
fof(f6348,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))) = X0,
inference(superposition,[],[f35,f89]) ).
fof(f22509,plain,
! [X0] : join(X0,X0) = meet(X0,join(X0,X0)),
inference(forward_demodulation,[],[f22508,f18297]) ).
fof(f22508,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = meet(X0,join(complement(complement(X0)),complement(complement(X0)))),
inference(forward_demodulation,[],[f22507,f18736]) ).
fof(f18736,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = meet(join(complement(X1),complement(X0)),X2),
inference(forward_demodulation,[],[f18717,f18689]) ).
fof(f18689,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(superposition,[],[f18297,f47]) ).
fof(f18717,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = meet(complement(meet(X0,X1)),X2),
inference(backward_demodulation,[],[f3560,f18693]) ).
fof(f18693,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f4,f18297]) ).
fof(f3560,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(X2,join(complement(X0),complement(X1))),
inference(superposition,[],[f47,f4]) ).
fof(f22507,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = meet(join(complement(complement(X0)),complement(complement(X0))),X0),
inference(forward_demodulation,[],[f22473,f17714]) ).
fof(f22473,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = join(meet(join(complement(complement(X0)),complement(complement(X0))),X0),zero),
inference(superposition,[],[f18713,f18536]) ).
fof(f18536,plain,
! [X0] : zero = meet(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f17702,f3568]) ).
fof(f17702,plain,
! [X0] : zero = meet(join(complement(X0),complement(X0)),X0),
inference(superposition,[],[f49,f17148]) ).
fof(f49,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f13,f4]) ).
fof(f18713,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f194,f18693]) ).
fof(f25103,plain,
! [X0] : meet(X0,composition(one,X0)) = join(X0,meet(X0,composition(one,X0))),
inference(forward_demodulation,[],[f25102,f18301]) ).
fof(f25102,plain,
! [X0] : meet(X0,composition(one,X0)) = join(meet(top,X0),meet(X0,composition(one,X0))),
inference(forward_demodulation,[],[f25101,f921]) ).
fof(f921,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(superposition,[],[f65,f8]) ).
fof(f65,plain,
! [X0] : converse(X0) = composition(converse(one),converse(X0)),
inference(superposition,[],[f10,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f25101,plain,
! [X0] : meet(X0,composition(one,composition(converse(one),X0))) = join(meet(top,X0),meet(X0,composition(one,composition(converse(one),X0)))),
inference(forward_demodulation,[],[f25100,f18301]) ).
fof(f25100,plain,
! [X0] : meet(X0,composition(one,meet(top,composition(converse(one),X0)))) = join(meet(top,X0),meet(X0,composition(one,meet(top,composition(converse(one),X0))))),
inference(forward_demodulation,[],[f25076,f3568]) ).
fof(f25076,plain,
! [X0] : meet(composition(one,meet(top,composition(converse(one),X0))),X0) = join(meet(top,X0),meet(composition(one,meet(top,composition(converse(one),X0))),X0)),
inference(superposition,[],[f15,f25029]) ).
fof(f25029,plain,
top = composition(one,top),
inference(forward_demodulation,[],[f25028,f8]) ).
fof(f25028,plain,
top = composition(converse(converse(one)),top),
inference(forward_demodulation,[],[f24997,f20237]) ).
fof(f20237,plain,
top = converse(top),
inference(forward_demodulation,[],[f20236,f18101]) ).
fof(f20236,plain,
converse(top) = join(top,converse(complement(sk1))),
inference(forward_demodulation,[],[f20227,f8]) ).
fof(f20227,plain,
converse(top) = join(converse(converse(top)),converse(complement(sk1))),
inference(superposition,[],[f9,f18255]) ).
fof(f18255,plain,
top = join(converse(top),complement(sk1)),
inference(backward_demodulation,[],[f1537,f18101]) ).
fof(f1537,plain,
join(top,converse(top)) = join(converse(top),complement(sk1)),
inference(forward_demodulation,[],[f1536,f1]) ).
fof(f1536,plain,
join(converse(top),top) = join(converse(top),complement(sk1)),
inference(forward_demodulation,[],[f1535,f8]) ).
fof(f1535,plain,
join(converse(top),top) = join(converse(top),converse(converse(complement(sk1)))),
inference(forward_demodulation,[],[f1534,f8]) ).
fof(f1534,plain,
join(converse(top),converse(converse(complement(sk1)))) = join(converse(top),converse(converse(top))),
inference(forward_demodulation,[],[f1532,f9]) ).
fof(f1532,plain,
join(converse(top),converse(converse(complement(sk1)))) = converse(join(top,converse(top))),
inference(superposition,[],[f9,f1484]) ).
fof(f1484,plain,
join(top,converse(top)) = join(top,converse(complement(sk1))),
inference(superposition,[],[f913,f55]) ).
fof(f55,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = converse(top),
inference(superposition,[],[f9,f12]) ).
fof(f24997,plain,
converse(top) = composition(converse(converse(one)),converse(top)),
inference(superposition,[],[f10,f24942]) ).
fof(f24942,plain,
top = composition(top,converse(one)),
inference(forward_demodulation,[],[f24941,f20237]) ).
fof(f24941,plain,
top = composition(converse(top),converse(one)),
inference(forward_demodulation,[],[f24940,f10]) ).
fof(f24940,plain,
top = converse(composition(one,top)),
inference(forward_demodulation,[],[f24919,f17714]) ).
fof(f24919,plain,
top = join(converse(composition(one,top)),zero),
inference(superposition,[],[f20238,f24813]) ).
fof(f24813,plain,
zero = converse(complement(composition(one,top))),
inference(superposition,[],[f22053,f6]) ).
fof(f22053,plain,
! [X0] : zero = composition(converse(complement(composition(X0,top))),X0),
inference(forward_demodulation,[],[f22052,f20772]) ).
fof(f20772,plain,
zero = converse(zero),
inference(superposition,[],[f20667,f17714]) ).
fof(f20667,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(superposition,[],[f17233,f8]) ).
fof(f17233,plain,
! [X0] : converse(X0) = join(converse(zero),converse(X0)),
inference(backward_demodulation,[],[f885,f17148]) ).
fof(f885,plain,
! [X0] : converse(X0) = join(converse(zero),converse(meet(X0,X0))),
inference(superposition,[],[f9,f200]) ).
fof(f22052,plain,
! [X0] : converse(zero) = composition(converse(complement(composition(X0,top))),X0),
inference(forward_demodulation,[],[f22017,f8]) ).
fof(f22017,plain,
! [X0] : converse(zero) = composition(converse(complement(composition(X0,top))),converse(converse(X0))),
inference(superposition,[],[f10,f17156]) ).
fof(f17156,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(backward_demodulation,[],[f378,f17129]) ).
fof(f378,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f32,f51]) ).
fof(f32,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f11,f1]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f20238,plain,
! [X0] : top = join(converse(X0),converse(complement(X0))),
inference(backward_demodulation,[],[f55,f20237]) ).
fof(f15,axiom,
! [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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f28535,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
inference(forward_demodulation,[],[f28534,f1]) ).
fof(f28534,plain,
! [X0,X1] : join(meet(complement(X1),X0),X0) = X0,
inference(forward_demodulation,[],[f28258,f19072]) ).
fof(f19072,plain,
! [X2,X0,X1] : join(X2,X0) = join(meet(complement(X1),X0),join(X2,meet(X0,X1))),
inference(superposition,[],[f97,f18713]) ).
fof(f28258,plain,
! [X0,X1] : join(meet(complement(X1),X0),join(meet(complement(X1),X0),meet(X0,X1))) = X0,
inference(superposition,[],[f22558,f18713]) ).
fof(f22558,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f97,f22510]) ).
fof(f943,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),composition(one,complement(converse(X0)))),
inference(forward_demodulation,[],[f935,f8]) ).
fof(f935,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(one)),complement(converse(X0)))),
inference(superposition,[],[f32,f65]) ).
fof(f33070,plain,
composition(one,sk3) = join(sk3,sF3),
inference(forward_demodulation,[],[f33069,f37]) ).
fof(f37,plain,
one = join(one,sk2),
inference(superposition,[],[f1,f31]) ).
fof(f33069,plain,
composition(join(one,sk2),sk3) = join(sk3,sF3),
inference(forward_demodulation,[],[f32976,f1]) ).
fof(f32976,plain,
composition(join(one,sk2),sk3) = join(sF3,sk3),
inference(superposition,[],[f354,f32689]) ).
fof(f354,plain,
! [X0] : join(sF3,composition(X0,sk3)) = composition(join(X0,sk2),sk3),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f343,plain,
! [X0] : composition(join(X0,sk2),sk3) = join(composition(X0,sk3),sF3),
inference(superposition,[],[f7,f25]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29526,plain,
! [X0] : sF4 = meet(sF4,join(X0,sF3)),
inference(superposition,[],[f19751,f28902]) ).
fof(f28902,plain,
sF3 = join(sF3,sF4),
inference(superposition,[],[f28748,f26]) ).
fof(f28748,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f28535,f18297]) ).
fof(f19751,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[],[f18339,f97]) ).
fof(f87477,plain,
meet(sk3,sF4) = join(sF6,meet(sk3,sF4)),
inference(forward_demodulation,[],[f87476,f83775]) ).
fof(f83775,plain,
! [X0] : join(sF6,X0) = join(sF4,join(sF6,X0)),
inference(backward_demodulation,[],[f71367,f83759]) ).
fof(f83759,plain,
sF6 = composition(sk1,sF3),
inference(forward_demodulation,[],[f83416,f25]) ).
fof(f83416,plain,
sF6 = composition(sk1,composition(sk2,sk3)),
inference(backward_demodulation,[],[f28,f82945]) ).
fof(f82945,plain,
! [X0] : composition(sF5,X0) = composition(sk1,composition(sk2,X0)),
inference(superposition,[],[f5,f82811]) ).
fof(f82811,plain,
sF5 = composition(sk1,sk2),
inference(forward_demodulation,[],[f82810,f26543]) ).
fof(f26543,plain,
sk1 = join(sk1,sF5),
inference(forward_demodulation,[],[f26389,f1]) ).
fof(f26389,plain,
sk1 = join(sF5,sk1),
inference(superposition,[],[f22554,f23756]) ).
fof(f23756,plain,
sk1 = join(sF5,meet(sk1,complement(sF5))),
inference(forward_demodulation,[],[f23752,f3568]) ).
fof(f23752,plain,
sk1 = join(sF5,meet(complement(sF5),sk1)),
inference(superposition,[],[f18713,f23709]) ).
fof(f23709,plain,
sF5 = meet(sk1,sF5),
inference(superposition,[],[f19832,f27]) ).
fof(f19832,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f19777,f3568]) ).
fof(f19777,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f18339,f207]) ).
fof(f82810,plain,
sF5 = composition(join(sk1,sF5),sk2),
inference(forward_demodulation,[],[f82809,f35801]) ).
fof(f35801,plain,
sF5 = composition(sF5,sF5),
inference(backward_demodulation,[],[f34139,f35714]) ).
fof(f35714,plain,
sF5 = converse(sF5),
inference(forward_demodulation,[],[f35713,f34139]) ).
fof(f35713,plain,
converse(sF5) = composition(converse(sF5),sF5),
inference(forward_demodulation,[],[f35667,f8]) ).
fof(f35667,plain,
converse(sF5) = composition(converse(sF5),converse(converse(sF5))),
inference(superposition,[],[f10,f34139]) ).
fof(f34139,plain,
sF5 = composition(converse(sF5),sF5),
inference(forward_demodulation,[],[f34137,f32689]) ).
fof(f34137,plain,
composition(one,sF5) = composition(converse(sF5),sF5),
inference(backward_demodulation,[],[f33340,f33962]) ).
fof(f33962,plain,
one = join(one,converse(sF5)),
inference(backward_demodulation,[],[f26714,f33846]) ).
fof(f33846,plain,
one = converse(one),
inference(forward_demodulation,[],[f33845,f33304]) ).
fof(f33304,plain,
one = join(one,converse(one)),
inference(forward_demodulation,[],[f33303,f921]) ).
fof(f33303,plain,
join(one,converse(one)) = composition(converse(one),one),
inference(forward_demodulation,[],[f33302,f18301]) ).
fof(f33302,plain,
composition(meet(top,converse(one)),one) = join(one,meet(top,converse(one))),
inference(forward_demodulation,[],[f33301,f6]) ).
fof(f33301,plain,
composition(meet(top,converse(one)),one) = composition(join(one,meet(top,converse(one))),one),
inference(forward_demodulation,[],[f33300,f32935]) ).
fof(f32935,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f7,f32689]) ).
fof(f33300,plain,
composition(meet(top,converse(one)),one) = join(one,composition(meet(top,converse(one)),one)),
inference(forward_demodulation,[],[f33299,f18296]) ).
fof(f33299,plain,
composition(meet(top,converse(one)),meet(one,top)) = join(one,composition(meet(top,converse(one)),meet(one,top))),
inference(forward_demodulation,[],[f33174,f20237]) ).
fof(f33174,plain,
composition(meet(top,converse(one)),meet(one,converse(top))) = join(one,composition(meet(top,converse(one)),meet(one,converse(top)))),
inference(superposition,[],[f32856,f26526]) ).
fof(f26526,plain,
! [X0] : meet(X0,composition(top,X0)) = X0,
inference(backward_demodulation,[],[f25729,f26524]) ).
fof(f25729,plain,
! [X0] : meet(X0,composition(top,X0)) = join(X0,meet(X0,composition(top,X0))),
inference(forward_demodulation,[],[f25728,f18301]) ).
fof(f25728,plain,
! [X0] : meet(X0,composition(top,X0)) = join(meet(top,X0),meet(X0,composition(top,X0))),
inference(forward_demodulation,[],[f25727,f25692]) ).
fof(f25692,plain,
! [X0] : composition(top,X0) = composition(top,composition(top,X0)),
inference(superposition,[],[f5,f25121]) ).
fof(f25121,plain,
top = composition(top,top),
inference(superposition,[],[f25091,f18101]) ).
fof(f25091,plain,
! [X0] : top = composition(join(X0,one),top),
inference(forward_demodulation,[],[f25072,f17741]) ).
fof(f25072,plain,
! [X0] : composition(join(X0,one),top) = join(composition(X0,top),top),
inference(superposition,[],[f7,f25029]) ).
fof(f25727,plain,
! [X0] : meet(X0,composition(top,composition(top,X0))) = join(meet(top,X0),meet(X0,composition(top,composition(top,X0)))),
inference(forward_demodulation,[],[f25726,f20237]) ).
fof(f25726,plain,
! [X0] : meet(X0,composition(top,composition(converse(top),X0))) = join(meet(top,X0),meet(X0,composition(top,composition(converse(top),X0)))),
inference(forward_demodulation,[],[f25725,f18301]) ).
fof(f25725,plain,
! [X0] : meet(X0,composition(top,meet(top,composition(converse(top),X0)))) = join(meet(top,X0),meet(X0,composition(top,meet(top,composition(converse(top),X0))))),
inference(forward_demodulation,[],[f25697,f3568]) ).
fof(f25697,plain,
! [X0] : meet(composition(top,meet(top,composition(converse(top),X0))),X0) = join(meet(top,X0),meet(composition(top,meet(top,composition(converse(top),X0))),X0)),
inference(superposition,[],[f15,f25121]) ).
fof(f32856,plain,
! [X0,X1] : composition(meet(X0,converse(X1)),meet(X1,converse(X0))) = join(meet(one,composition(X0,X1)),composition(meet(X0,converse(X1)),meet(X1,converse(X0)))),
inference(forward_demodulation,[],[f32795,f3568]) ).
fof(f32795,plain,
! [X0,X1] : composition(meet(X0,converse(X1)),meet(X1,converse(X0))) = join(meet(composition(X0,X1),one),composition(meet(X0,converse(X1)),meet(X1,converse(X0)))),
inference(backward_demodulation,[],[f849,f32689]) ).
fof(f849,plain,
! [X0,X1] : composition(meet(X0,composition(one,converse(X1))),meet(X1,converse(X0))) = join(meet(composition(X0,X1),one),composition(meet(X0,composition(one,converse(X1))),meet(X1,converse(X0)))),
inference(superposition,[],[f14,f6]) ).
fof(f14,axiom,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f33845,plain,
converse(one) = join(one,converse(one)),
inference(forward_demodulation,[],[f33844,f95]) ).
fof(f95,plain,
! [X0] : join(one,X0) = join(one,join(sk1,X0)),
inference(superposition,[],[f2,f36]) ).
fof(f36,plain,
one = join(one,sk1),
inference(superposition,[],[f1,f30]) ).
fof(f33844,plain,
converse(one) = join(one,join(sk1,converse(one))),
inference(forward_demodulation,[],[f33829,f116]) ).
fof(f116,plain,
! [X0] : join(one,join(sk1,X0)) = join(X0,one),
inference(forward_demodulation,[],[f109,f97]) ).
fof(f109,plain,
! [X0] : join(X0,one) = join(sk1,join(X0,one)),
inference(superposition,[],[f90,f1]) ).
fof(f33829,plain,
converse(one) = join(converse(one),one),
inference(superposition,[],[f28748,f32966]) ).
fof(f32966,plain,
one = meet(one,converse(one)),
inference(superposition,[],[f26531,f32689]) ).
fof(f26531,plain,
! [X0] : meet(X0,composition(X0,converse(one))) = X0,
inference(backward_demodulation,[],[f25045,f26524]) ).
fof(f25045,plain,
! [X0] : meet(X0,composition(X0,converse(one))) = join(X0,meet(X0,composition(X0,converse(one)))),
inference(forward_demodulation,[],[f25044,f18301]) ).
fof(f25044,plain,
! [X0] : meet(X0,composition(X0,converse(one))) = join(meet(top,X0),meet(X0,composition(X0,converse(one)))),
inference(forward_demodulation,[],[f25043,f128]) ).
fof(f128,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f5,f6]) ).
fof(f25043,plain,
! [X0] : meet(X0,composition(X0,composition(one,converse(one)))) = join(meet(top,X0),meet(X0,composition(X0,composition(one,converse(one))))),
inference(forward_demodulation,[],[f25042,f8]) ).
fof(f25042,plain,
! [X0] : meet(X0,composition(X0,composition(converse(converse(one)),converse(one)))) = join(meet(top,X0),meet(X0,composition(X0,composition(converse(converse(one)),converse(one))))),
inference(forward_demodulation,[],[f25041,f5]) ).
fof(f25041,plain,
! [X0] : meet(X0,composition(composition(X0,converse(converse(one))),converse(one))) = join(meet(top,X0),meet(X0,composition(composition(X0,converse(converse(one))),converse(one)))),
inference(forward_demodulation,[],[f25040,f18301]) ).
fof(f25040,plain,
! [X0] : meet(X0,composition(meet(top,composition(X0,converse(converse(one)))),converse(one))) = join(meet(top,X0),meet(X0,composition(meet(top,composition(X0,converse(converse(one)))),converse(one)))),
inference(forward_demodulation,[],[f25000,f3568]) ).
fof(f25000,plain,
! [X0] : meet(composition(meet(top,composition(X0,converse(converse(one)))),converse(one)),X0) = join(meet(top,X0),meet(composition(meet(top,composition(X0,converse(converse(one)))),converse(one)),X0)),
inference(superposition,[],[f16,f24942]) ).
fof(f16,axiom,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f26714,plain,
converse(one) = join(converse(one),converse(sF5)),
inference(superposition,[],[f9,f26542]) ).
fof(f26542,plain,
one = join(one,sF5),
inference(forward_demodulation,[],[f26541,f95]) ).
fof(f26541,plain,
one = join(one,join(sk1,sF5)),
inference(forward_demodulation,[],[f26388,f116]) ).
fof(f26388,plain,
one = join(sF5,one),
inference(superposition,[],[f22554,f23823]) ).
fof(f23823,plain,
one = join(sF5,meet(one,complement(sF5))),
inference(forward_demodulation,[],[f23819,f3568]) ).
fof(f23819,plain,
one = join(sF5,meet(complement(sF5),one)),
inference(superposition,[],[f18713,f23811]) ).
fof(f23811,plain,
sF5 = meet(one,sF5),
inference(forward_demodulation,[],[f23798,f3568]) ).
fof(f23798,plain,
sF5 = meet(sF5,one),
inference(superposition,[],[f23780,f36]) ).
fof(f23780,plain,
! [X0] : sF5 = meet(sF5,join(X0,sk1)),
inference(superposition,[],[f19752,f23756]) ).
fof(f19752,plain,
! [X2,X0,X1] : meet(X0,join(X2,join(X0,X1))) = X0,
inference(superposition,[],[f18339,f97]) ).
fof(f33340,plain,
composition(converse(sF5),sF5) = composition(join(one,converse(sF5)),sF5),
inference(forward_demodulation,[],[f33339,f32935]) ).
fof(f33339,plain,
composition(converse(sF5),sF5) = join(sF5,composition(converse(sF5),sF5)),
inference(forward_demodulation,[],[f33338,f23811]) ).
fof(f33338,plain,
composition(converse(sF5),sF5) = join(meet(one,sF5),composition(converse(sF5),sF5)),
inference(forward_demodulation,[],[f33337,f921]) ).
fof(f33337,plain,
composition(converse(sF5),sF5) = join(meet(one,composition(converse(one),sF5)),composition(converse(sF5),sF5)),
inference(forward_demodulation,[],[f33336,f23811]) ).
fof(f33336,plain,
composition(converse(sF5),meet(one,sF5)) = join(meet(one,composition(converse(one),sF5)),composition(converse(sF5),meet(one,sF5))),
inference(forward_demodulation,[],[f33335,f3568]) ).
fof(f33335,plain,
composition(converse(sF5),meet(sF5,one)) = join(meet(one,composition(converse(one),sF5)),composition(converse(sF5),meet(sF5,one))),
inference(forward_demodulation,[],[f33191,f8]) ).
fof(f33191,plain,
composition(converse(sF5),meet(sF5,converse(converse(one)))) = join(meet(one,composition(converse(one),sF5)),composition(converse(sF5),meet(sF5,converse(converse(one))))),
inference(superposition,[],[f32856,f27713]) ).
fof(f27713,plain,
converse(sF5) = meet(converse(one),converse(sF5)),
inference(forward_demodulation,[],[f27691,f3568]) ).
fof(f27691,plain,
converse(sF5) = meet(converse(sF5),converse(one)),
inference(superposition,[],[f19719,f26714]) ).
fof(f19719,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f18339,f1]) ).
fof(f82809,plain,
composition(sF5,sF5) = composition(join(sk1,composition(sF5,sF5)),sk2),
inference(forward_demodulation,[],[f82808,f27]) ).
fof(f82808,plain,
composition(meet(sk1,sk2),sF5) = composition(join(sk1,composition(meet(sk1,sk2),sF5)),sk2),
inference(forward_demodulation,[],[f82807,f35070]) ).
fof(f35070,plain,
sk2 = converse(sk2),
inference(forward_demodulation,[],[f35069,f34110]) ).
fof(f34110,plain,
sk2 = composition(converse(sk2),sk2),
inference(forward_demodulation,[],[f34108,f32689]) ).
fof(f34108,plain,
composition(one,sk2) = composition(converse(sk2),sk2),
inference(backward_demodulation,[],[f33334,f33848]) ).
fof(f33848,plain,
one = join(one,converse(sk2)),
inference(backward_demodulation,[],[f62,f33846]) ).
fof(f62,plain,
converse(one) = join(converse(one),converse(sk2)),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f57,plain,
converse(one) = join(converse(sk2),converse(one)),
inference(superposition,[],[f9,f31]) ).
fof(f33334,plain,
composition(converse(sk2),sk2) = composition(join(one,converse(sk2)),sk2),
inference(forward_demodulation,[],[f33333,f32935]) ).
fof(f33333,plain,
composition(converse(sk2),sk2) = join(sk2,composition(converse(sk2),sk2)),
inference(forward_demodulation,[],[f33332,f18476]) ).
fof(f18476,plain,
sk2 = meet(one,sk2),
inference(forward_demodulation,[],[f18475,f17714]) ).
fof(f18475,plain,
sk2 = join(meet(one,sk2),zero),
inference(forward_demodulation,[],[f18035,f51]) ).
fof(f18035,plain,
sk2 = join(meet(one,sk2),complement(top)),
inference(backward_demodulation,[],[f12091,f17741]) ).
fof(f12091,plain,
sk2 = join(meet(one,sk2),complement(join(one,top))),
inference(forward_demodulation,[],[f12043,f3568]) ).
fof(f12043,plain,
sk2 = join(meet(sk2,one),complement(join(one,top))),
inference(superposition,[],[f194,f179]) ).
fof(f179,plain,
join(one,top) = join(one,complement(sk2)),
inference(superposition,[],[f96,f12]) ).
fof(f96,plain,
! [X0] : join(one,X0) = join(one,join(sk2,X0)),
inference(superposition,[],[f2,f37]) ).
fof(f33332,plain,
composition(converse(sk2),sk2) = join(meet(one,sk2),composition(converse(sk2),sk2)),
inference(forward_demodulation,[],[f33331,f921]) ).
fof(f33331,plain,
composition(converse(sk2),sk2) = join(meet(one,composition(converse(one),sk2)),composition(converse(sk2),sk2)),
inference(forward_demodulation,[],[f33330,f18476]) ).
fof(f33330,plain,
composition(converse(sk2),meet(one,sk2)) = join(meet(one,composition(converse(one),sk2)),composition(converse(sk2),meet(one,sk2))),
inference(forward_demodulation,[],[f33329,f3568]) ).
fof(f33329,plain,
composition(converse(sk2),meet(sk2,one)) = join(meet(one,composition(converse(one),sk2)),composition(converse(sk2),meet(sk2,one))),
inference(forward_demodulation,[],[f33190,f8]) ).
fof(f33190,plain,
composition(converse(sk2),meet(sk2,converse(converse(one)))) = join(meet(one,composition(converse(one),sk2)),composition(converse(sk2),meet(sk2,converse(converse(one))))),
inference(superposition,[],[f32856,f18367]) ).
fof(f18367,plain,
converse(sk2) = meet(converse(one),converse(sk2)),
inference(forward_demodulation,[],[f18366,f17714]) ).
fof(f18366,plain,
converse(sk2) = join(meet(converse(one),converse(sk2)),zero),
inference(forward_demodulation,[],[f18254,f51]) ).
fof(f18254,plain,
converse(sk2) = join(meet(converse(one),converse(sk2)),complement(top)),
inference(backward_demodulation,[],[f12096,f18101]) ).
fof(f12096,plain,
converse(sk2) = join(meet(converse(one),converse(sk2)),complement(join(top,converse(one)))),
inference(forward_demodulation,[],[f12048,f3568]) ).
fof(f12048,plain,
converse(sk2) = join(meet(converse(sk2),converse(one)),complement(join(top,converse(one)))),
inference(superposition,[],[f194,f767]) ).
fof(f767,plain,
join(top,converse(one)) = join(converse(one),complement(converse(sk2))),
inference(forward_demodulation,[],[f757,f1]) ).
fof(f757,plain,
join(converse(one),top) = join(converse(one),complement(converse(sk2))),
inference(superposition,[],[f93,f12]) ).
fof(f93,plain,
! [X0] : join(converse(one),X0) = join(converse(one),join(converse(sk2),X0)),
inference(superposition,[],[f2,f62]) ).
fof(f35069,plain,
converse(sk2) = composition(converse(sk2),sk2),
inference(forward_demodulation,[],[f35021,f8]) ).
fof(f35021,plain,
converse(sk2) = composition(converse(sk2),converse(converse(sk2))),
inference(superposition,[],[f10,f34110]) ).
fof(f82807,plain,
composition(meet(sk1,converse(sk2)),sF5) = composition(join(sk1,composition(meet(sk1,converse(sk2)),sF5)),sk2),
inference(forward_demodulation,[],[f82806,f72796]) ).
fof(f72796,plain,
! [X0,X1] : composition(join(X0,composition(X1,sF5)),sk2) = join(composition(X0,sk2),composition(X1,sF5)),
inference(superposition,[],[f341,f72622]) ).
fof(f72622,plain,
sF5 = composition(sF5,sk2),
inference(forward_demodulation,[],[f72621,f35714]) ).
fof(f72621,plain,
converse(sF5) = composition(converse(sF5),sk2),
inference(forward_demodulation,[],[f72580,f35070]) ).
fof(f72580,plain,
converse(sF5) = composition(converse(sF5),converse(sk2)),
inference(superposition,[],[f10,f72118]) ).
fof(f72118,plain,
sF5 = composition(sk2,sF5),
inference(forward_demodulation,[],[f72117,f32689]) ).
fof(f72117,plain,
composition(one,sF5) = composition(sk2,sF5),
inference(forward_demodulation,[],[f72116,f37]) ).
fof(f72116,plain,
composition(sk2,sF5) = composition(join(one,sk2),sF5),
inference(forward_demodulation,[],[f72115,f35070]) ).
fof(f72115,plain,
composition(converse(sk2),sF5) = composition(join(one,converse(sk2)),sF5),
inference(forward_demodulation,[],[f72114,f35714]) ).
fof(f72114,plain,
composition(converse(sk2),converse(sF5)) = composition(join(one,converse(sk2)),converse(sF5)),
inference(forward_demodulation,[],[f72113,f21761]) ).
fof(f21761,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = composition(join(X1,X0),X2),
inference(forward_demodulation,[],[f21760,f128]) ).
fof(f21760,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = composition(join(X1,X0),composition(one,X2)),
inference(forward_demodulation,[],[f21661,f7]) ).
fof(f21661,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,composition(one,X2)),composition(X0,composition(one,X2))),
inference(superposition,[],[f345,f128]) ).
fof(f345,plain,
! [X2,X0,X1] : composition(join(X0,X2),X1) = join(composition(X2,X1),composition(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f72113,plain,
composition(converse(sk2),converse(sF5)) = composition(join(converse(sk2),one),converse(sF5)),
inference(forward_demodulation,[],[f72112,f32982]) ).
fof(f32982,plain,
! [X0,X1] : composition(join(X1,one),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f32934,f1]) ).
fof(f32934,plain,
! [X0,X1] : composition(join(X1,one),X0) = join(composition(X1,X0),X0),
inference(superposition,[],[f7,f32689]) ).
fof(f72112,plain,
composition(converse(sk2),converse(sF5)) = join(converse(sF5),composition(converse(sk2),converse(sF5))),
inference(forward_demodulation,[],[f72091,f10]) ).
fof(f72091,plain,
converse(composition(sF5,sk2)) = join(converse(sF5),converse(composition(sF5,sk2))),
inference(superposition,[],[f9,f71508]) ).
fof(f71508,plain,
composition(sF5,sk2) = join(sF5,composition(sF5,sk2)),
inference(backward_demodulation,[],[f69645,f71450]) ).
fof(f71450,plain,
! [X0] : composition(sF5,X0) = composition(sF5,composition(sk1,X0)),
inference(superposition,[],[f5,f71268]) ).
fof(f71268,plain,
sF5 = composition(sF5,sk1),
inference(forward_demodulation,[],[f71267,f35714]) ).
fof(f71267,plain,
converse(sF5) = composition(converse(sF5),sk1),
inference(forward_demodulation,[],[f71223,f34660]) ).
fof(f34660,plain,
sk1 = converse(sk1),
inference(forward_demodulation,[],[f34659,f34107]) ).
fof(f34107,plain,
sk1 = composition(converse(sk1),sk1),
inference(forward_demodulation,[],[f34105,f32689]) ).
fof(f34105,plain,
composition(one,sk1) = composition(converse(sk1),sk1),
inference(backward_demodulation,[],[f33328,f33847]) ).
fof(f33847,plain,
one = join(one,converse(sk1)),
inference(backward_demodulation,[],[f61,f33846]) ).
fof(f61,plain,
converse(one) = join(converse(one),converse(sk1)),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
converse(one) = join(converse(sk1),converse(one)),
inference(superposition,[],[f9,f30]) ).
fof(f33328,plain,
composition(converse(sk1),sk1) = composition(join(one,converse(sk1)),sk1),
inference(forward_demodulation,[],[f33327,f32935]) ).
fof(f33327,plain,
composition(converse(sk1),sk1) = join(sk1,composition(converse(sk1),sk1)),
inference(forward_demodulation,[],[f33326,f18474]) ).
fof(f18474,plain,
sk1 = meet(one,sk1),
inference(forward_demodulation,[],[f18473,f17714]) ).
fof(f18473,plain,
sk1 = join(meet(one,sk1),zero),
inference(forward_demodulation,[],[f18034,f51]) ).
fof(f18034,plain,
sk1 = join(meet(one,sk1),complement(top)),
inference(backward_demodulation,[],[f12090,f17741]) ).
fof(f12090,plain,
sk1 = join(meet(one,sk1),complement(join(one,top))),
inference(forward_demodulation,[],[f12042,f3568]) ).
fof(f12042,plain,
sk1 = join(meet(sk1,one),complement(join(one,top))),
inference(superposition,[],[f194,f162]) ).
fof(f162,plain,
join(one,complement(sk1)) = join(one,top),
inference(superposition,[],[f95,f12]) ).
fof(f33326,plain,
composition(converse(sk1),sk1) = join(meet(one,sk1),composition(converse(sk1),sk1)),
inference(forward_demodulation,[],[f33325,f921]) ).
fof(f33325,plain,
composition(converse(sk1),sk1) = join(meet(one,composition(converse(one),sk1)),composition(converse(sk1),sk1)),
inference(forward_demodulation,[],[f33324,f18474]) ).
fof(f33324,plain,
composition(converse(sk1),meet(one,sk1)) = join(meet(one,composition(converse(one),sk1)),composition(converse(sk1),meet(one,sk1))),
inference(forward_demodulation,[],[f33323,f3568]) ).
fof(f33323,plain,
composition(converse(sk1),meet(sk1,one)) = join(meet(one,composition(converse(one),sk1)),composition(converse(sk1),meet(sk1,one))),
inference(forward_demodulation,[],[f33189,f8]) ).
fof(f33189,plain,
composition(converse(sk1),meet(sk1,converse(converse(one)))) = join(meet(one,composition(converse(one),sk1)),composition(converse(sk1),meet(sk1,converse(converse(one))))),
inference(superposition,[],[f32856,f18365]) ).
fof(f18365,plain,
converse(sk1) = meet(converse(one),converse(sk1)),
inference(forward_demodulation,[],[f18364,f17714]) ).
fof(f18364,plain,
converse(sk1) = join(meet(converse(one),converse(sk1)),zero),
inference(forward_demodulation,[],[f18253,f51]) ).
fof(f18253,plain,
converse(sk1) = join(meet(converse(one),converse(sk1)),complement(top)),
inference(backward_demodulation,[],[f12095,f18101]) ).
fof(f12095,plain,
converse(sk1) = join(meet(converse(one),converse(sk1)),complement(join(top,converse(one)))),
inference(forward_demodulation,[],[f12047,f3568]) ).
fof(f12047,plain,
converse(sk1) = join(meet(converse(sk1),converse(one)),complement(join(top,converse(one)))),
inference(superposition,[],[f194,f722]) ).
fof(f722,plain,
join(converse(one),complement(converse(sk1))) = join(top,converse(one)),
inference(forward_demodulation,[],[f712,f1]) ).
fof(f712,plain,
join(converse(one),complement(converse(sk1))) = join(converse(one),top),
inference(superposition,[],[f92,f12]) ).
fof(f92,plain,
! [X0] : join(converse(one),join(converse(sk1),X0)) = join(converse(one),X0),
inference(superposition,[],[f2,f61]) ).
fof(f34659,plain,
converse(sk1) = composition(converse(sk1),sk1),
inference(forward_demodulation,[],[f34611,f8]) ).
fof(f34611,plain,
converse(sk1) = composition(converse(sk1),converse(converse(sk1))),
inference(superposition,[],[f10,f34107]) ).
fof(f71223,plain,
converse(sF5) = composition(converse(sF5),converse(sk1)),
inference(superposition,[],[f10,f71194]) ).
fof(f71194,plain,
sF5 = composition(sk1,sF5),
inference(forward_demodulation,[],[f71193,f69519]) ).
fof(f69519,plain,
! [X0] : composition(sk1,X0) = meet(X0,composition(sk1,X0)),
inference(forward_demodulation,[],[f69438,f3568]) ).
fof(f69438,plain,
! [X0] : composition(sk1,X0) = meet(composition(sk1,X0),X0),
inference(superposition,[],[f19719,f69219]) ).
fof(f69219,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f69002,f17714]) ).
fof(f69002,plain,
! [X0] : join(X0,zero) = join(X0,composition(sk1,X0)),
inference(superposition,[],[f32742,f17714]) ).
fof(f32742,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(backward_demodulation,[],[f24289,f32689]) ).
fof(f24289,plain,
! [X0,X1] : join(composition(one,X0),X1) = join(composition(one,X0),join(composition(sk1,X0),X1)),
inference(forward_demodulation,[],[f24018,f8872]) ).
fof(f24018,plain,
! [X0,X1] : join(composition(one,X0),X1) = join(composition(sk1,X0),join(composition(one,X0),X1)),
inference(superposition,[],[f347,f30]) ).
fof(f347,plain,
! [X2,X3,X0,X1] : join(composition(X0,X1),join(composition(X2,X1),X3)) = join(composition(join(X0,X2),X1),X3),
inference(superposition,[],[f2,f7]) ).
fof(f71193,plain,
sF5 = meet(sF5,composition(sk1,sF5)),
inference(forward_demodulation,[],[f71189,f34811]) ).
fof(f34811,plain,
! [X0] : composition(sk1,X0) = composition(sk1,composition(sk1,X0)),
inference(backward_demodulation,[],[f34608,f34660]) ).
fof(f34608,plain,
! [X0] : composition(sk1,X0) = composition(converse(sk1),composition(sk1,X0)),
inference(superposition,[],[f5,f34107]) ).
fof(f71189,plain,
sF5 = meet(sF5,composition(sk1,composition(sk1,sF5))),
inference(backward_demodulation,[],[f34719,f71187]) ).
fof(f71187,plain,
composition(sk1,sF5) = meet(one,composition(sk1,sF5)),
inference(forward_demodulation,[],[f71098,f3568]) ).
fof(f71098,plain,
composition(sk1,sF5) = meet(composition(sk1,sF5),one),
inference(superposition,[],[f19719,f70564]) ).
fof(f70564,plain,
one = join(one,composition(sk1,sF5)),
inference(forward_demodulation,[],[f70540,f36]) ).
fof(f70540,plain,
join(one,sk1) = join(one,composition(sk1,sF5)),
inference(superposition,[],[f95,f69487]) ).
fof(f69487,plain,
sk1 = join(sk1,composition(sk1,sF5)),
inference(forward_demodulation,[],[f69418,f26543]) ).
fof(f69418,plain,
join(sk1,sF5) = join(sk1,composition(sk1,sF5)),
inference(superposition,[],[f26651,f69219]) ).
fof(f26651,plain,
! [X0] : join(sk1,X0) = join(sk1,join(sF5,X0)),
inference(superposition,[],[f2,f26543]) ).
fof(f34719,plain,
sF5 = meet(sF5,composition(sk1,meet(one,composition(sk1,sF5)))),
inference(backward_demodulation,[],[f30399,f34660]) ).
fof(f30399,plain,
sF5 = meet(sF5,composition(sk1,meet(one,composition(converse(sk1),sF5)))),
inference(forward_demodulation,[],[f30398,f3568]) ).
fof(f30398,plain,
sF5 = meet(composition(sk1,meet(one,composition(converse(sk1),sF5))),sF5),
inference(forward_demodulation,[],[f30266,f28748]) ).
fof(f30266,plain,
meet(composition(sk1,meet(one,composition(converse(sk1),sF5))),sF5) = join(sF5,meet(composition(sk1,meet(one,composition(converse(sk1),sF5))),sF5)),
inference(superposition,[],[f396,f23709]) ).
fof(f396,plain,
! [X0,X1] : meet(composition(X0,meet(one,composition(converse(X0),X1))),X1) = join(meet(X0,X1),meet(composition(X0,meet(one,composition(converse(X0),X1))),X1)),
inference(superposition,[],[f15,f6]) ).
fof(f69645,plain,
composition(sF5,composition(sk1,sk2)) = join(sF5,composition(sF5,composition(sk1,sk2))),
inference(backward_demodulation,[],[f37715,f69644]) ).
fof(f69644,plain,
composition(sk1,sk2) = meet(one,composition(sk1,sk2)),
inference(forward_demodulation,[],[f69555,f3568]) ).
fof(f69555,plain,
composition(sk1,sk2) = meet(composition(sk1,sk2),one),
inference(superposition,[],[f19719,f69471]) ).
fof(f69471,plain,
one = join(one,composition(sk1,sk2)),
inference(forward_demodulation,[],[f69400,f37]) ).
fof(f69400,plain,
join(one,sk2) = join(one,composition(sk1,sk2)),
inference(superposition,[],[f96,f69219]) ).
fof(f37715,plain,
composition(sF5,meet(one,composition(sk1,sk2))) = join(sF5,composition(sF5,meet(one,composition(sk1,sk2)))),
inference(forward_demodulation,[],[f37598,f34660]) ).
fof(f37598,plain,
composition(sF5,meet(one,composition(converse(sk1),sk2))) = join(sF5,composition(sF5,meet(one,composition(converse(sk1),sk2)))),
inference(superposition,[],[f34115,f27]) ).
fof(f34115,plain,
! [X0,X1] : composition(meet(X0,X1),meet(one,composition(converse(X0),X1))) = join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f33859,f6]) ).
fof(f33859,plain,
! [X0,X1] : composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1))) = join(meet(X0,X1),composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1)))),
inference(backward_demodulation,[],[f836,f33846]) ).
fof(f836,plain,
! [X0,X1] : composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))) = join(meet(X0,X1),composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1)))),
inference(superposition,[],[f14,f6]) ).
fof(f341,plain,
! [X2,X3,X0,X1] : composition(join(X3,composition(X0,X1)),X2) = join(composition(X3,X2),composition(X0,composition(X1,X2))),
inference(superposition,[],[f7,f5]) ).
fof(f82806,plain,
composition(meet(sk1,converse(sk2)),sF5) = join(composition(sk1,sk2),composition(meet(sk1,converse(sk2)),sF5)),
inference(forward_demodulation,[],[f82805,f27]) ).
fof(f82805,plain,
composition(meet(sk1,converse(sk2)),meet(sk1,sk2)) = join(composition(sk1,sk2),composition(meet(sk1,converse(sk2)),meet(sk1,sk2))),
inference(forward_demodulation,[],[f82804,f3568]) ).
fof(f82804,plain,
composition(meet(sk1,converse(sk2)),meet(sk2,sk1)) = join(composition(sk1,sk2),composition(meet(sk1,converse(sk2)),meet(sk2,sk1))),
inference(forward_demodulation,[],[f82787,f34660]) ).
fof(f82787,plain,
composition(meet(sk1,converse(sk2)),meet(sk2,converse(sk1))) = join(composition(sk1,sk2),composition(meet(sk1,converse(sk2)),meet(sk2,converse(sk1)))),
inference(superposition,[],[f32856,f69644]) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f71367,plain,
! [X0] : join(composition(sk1,sF3),X0) = join(sF4,join(composition(sk1,sF3),X0)),
inference(superposition,[],[f2,f70196]) ).
fof(f70196,plain,
composition(sk1,sF3) = join(sF4,composition(sk1,sF3)),
inference(forward_demodulation,[],[f70195,f69519]) ).
fof(f70195,plain,
meet(sF3,composition(sk1,sF3)) = join(sF4,meet(sF3,composition(sk1,sF3))),
inference(forward_demodulation,[],[f70194,f34811]) ).
fof(f70194,plain,
meet(sF3,composition(sk1,composition(sk1,sF3))) = join(sF4,meet(sF3,composition(sk1,composition(sk1,sF3)))),
inference(backward_demodulation,[],[f34730,f70192]) ).
fof(f70192,plain,
composition(sk1,sF3) = meet(sk3,composition(sk1,sF3)),
inference(forward_demodulation,[],[f70141,f3568]) ).
fof(f70141,plain,
composition(sk1,sF3) = meet(composition(sk1,sF3),sk3),
inference(superposition,[],[f19719,f69482]) ).
fof(f69482,plain,
sk3 = join(sk3,composition(sk1,sF3)),
inference(forward_demodulation,[],[f69412,f33071]) ).
fof(f69412,plain,
join(sk3,sF3) = join(sk3,composition(sk1,sF3)),
inference(superposition,[],[f33402,f69219]) ).
fof(f33402,plain,
! [X0] : join(sk3,X0) = join(sk3,join(sF3,X0)),
inference(superposition,[],[f2,f33071]) ).
fof(f34730,plain,
meet(sF3,composition(sk1,meet(sk3,composition(sk1,sF3)))) = join(sF4,meet(sF3,composition(sk1,meet(sk3,composition(sk1,sF3))))),
inference(backward_demodulation,[],[f30630,f34660]) ).
fof(f30630,plain,
meet(sF3,composition(sk1,meet(sk3,composition(converse(sk1),sF3)))) = join(sF4,meet(sF3,composition(sk1,meet(sk3,composition(converse(sk1),sF3))))),
inference(forward_demodulation,[],[f30583,f3568]) ).
fof(f30583,plain,
meet(composition(sk1,meet(sk3,composition(converse(sk1),sF3))),sF3) = join(sF4,meet(composition(sk1,meet(sk3,composition(converse(sk1),sF3))),sF3)),
inference(superposition,[],[f398,f26]) ).
fof(f398,plain,
! [X0] : meet(composition(sk1,meet(sk3,composition(converse(sk1),X0))),X0) = join(meet(sF2,X0),meet(composition(sk1,meet(sk3,composition(converse(sk1),X0))),X0)),
inference(superposition,[],[f15,f24]) ).
fof(f87476,plain,
meet(sk3,sF4) = join(sF4,join(sF6,meet(sk3,sF4))),
inference(forward_demodulation,[],[f87475,f83776]) ).
fof(f83776,plain,
! [X0] : join(X0,sF6) = join(sF4,join(sF6,X0)),
inference(backward_demodulation,[],[f71371,f83759]) ).
fof(f71371,plain,
! [X0] : join(sF4,join(composition(sk1,sF3),X0)) = join(X0,composition(sk1,sF3)),
inference(superposition,[],[f97,f70196]) ).
fof(f87475,plain,
meet(sk3,sF4) = join(meet(sk3,sF4),sF6),
inference(forward_demodulation,[],[f87474,f32864]) ).
fof(f32864,plain,
sF6 = meet(sk3,sF6),
inference(forward_demodulation,[],[f32803,f3568]) ).
fof(f32803,plain,
sF6 = meet(sF6,sk3),
inference(backward_demodulation,[],[f24755,f32689]) ).
fof(f24755,plain,
sF6 = meet(sF6,composition(one,sk3)),
inference(superposition,[],[f19787,f23823]) ).
fof(f19787,plain,
! [X0] : sF6 = meet(sF6,composition(join(sF5,X0),sk3)),
inference(superposition,[],[f18339,f339]) ).
fof(f339,plain,
! [X0] : composition(join(sF5,X0),sk3) = join(sF6,composition(X0,sk3)),
inference(superposition,[],[f7,f28]) ).
fof(f87474,plain,
meet(sk3,sF4) = join(meet(sk3,sF4),meet(sk3,sF6)),
inference(forward_demodulation,[],[f87473,f1]) ).
fof(f87473,plain,
meet(sk3,sF4) = join(meet(sk3,sF6),meet(sk3,sF4)),
inference(forward_demodulation,[],[f87472,f70764]) ).
fof(f70764,plain,
sF4 = composition(sk1,sF4),
inference(forward_demodulation,[],[f70763,f69519]) ).
fof(f70763,plain,
sF4 = meet(sF4,composition(sk1,sF4)),
inference(forward_demodulation,[],[f70761,f34811]) ).
fof(f70761,plain,
sF4 = meet(sF4,composition(sk1,composition(sk1,sF4))),
inference(backward_demodulation,[],[f34731,f70759]) ).
fof(f70759,plain,
composition(sk1,sF4) = meet(sk3,composition(sk1,sF4)),
inference(forward_demodulation,[],[f70723,f3568]) ).
fof(f70723,plain,
composition(sk1,sF4) = meet(composition(sk1,sF4),sk3),
inference(superposition,[],[f19719,f70489]) ).
fof(f70489,plain,
sk3 = join(sk3,composition(sk1,sF4)),
inference(forward_demodulation,[],[f70467,f33074]) ).
fof(f33074,plain,
sk3 = join(sk3,sF2),
inference(forward_demodulation,[],[f33073,f32689]) ).
fof(f33073,plain,
composition(one,sk3) = join(sk3,sF2),
inference(forward_demodulation,[],[f33072,f36]) ).
fof(f33072,plain,
composition(join(one,sk1),sk3) = join(sk3,sF2),
inference(forward_demodulation,[],[f32977,f1]) ).
fof(f32977,plain,
composition(join(one,sk1),sk3) = join(sF2,sk3),
inference(superposition,[],[f353,f32689]) ).
fof(f353,plain,
! [X0] : join(sF2,composition(X0,sk3)) = composition(join(X0,sk1),sk3),
inference(forward_demodulation,[],[f342,f1]) ).
fof(f342,plain,
! [X0] : composition(join(X0,sk1),sk3) = join(composition(X0,sk3),sF2),
inference(superposition,[],[f7,f24]) ).
fof(f70467,plain,
join(sk3,sF2) = join(sk3,composition(sk1,sF4)),
inference(superposition,[],[f33430,f69485]) ).
fof(f69485,plain,
sF2 = join(sF2,composition(sk1,sF4)),
inference(forward_demodulation,[],[f69416,f26546]) ).
fof(f26546,plain,
sF2 = join(sF2,sF4),
inference(forward_demodulation,[],[f26390,f1]) ).
fof(f26390,plain,
sF2 = join(sF4,sF2),
inference(superposition,[],[f22554,f23765]) ).
fof(f23765,plain,
sF2 = join(sF4,meet(sF2,complement(sF4))),
inference(forward_demodulation,[],[f23761,f3568]) ).
fof(f23761,plain,
sF2 = join(sF4,meet(complement(sF4),sF2)),
inference(superposition,[],[f18713,f23714]) ).
fof(f23714,plain,
sF4 = meet(sF2,sF4),
inference(superposition,[],[f19832,f26]) ).
fof(f69416,plain,
join(sF2,sF4) = join(sF2,composition(sk1,sF4)),
inference(superposition,[],[f26678,f69219]) ).
fof(f26678,plain,
! [X0] : join(sF2,X0) = join(sF2,join(sF4,X0)),
inference(superposition,[],[f2,f26546]) ).
fof(f33430,plain,
! [X0] : join(sk3,X0) = join(sk3,join(sF2,X0)),
inference(superposition,[],[f2,f33074]) ).
fof(f34731,plain,
sF4 = meet(sF4,composition(sk1,meet(sk3,composition(sk1,sF4)))),
inference(backward_demodulation,[],[f30632,f34660]) ).
fof(f30632,plain,
sF4 = meet(sF4,composition(sk1,meet(sk3,composition(converse(sk1),sF4)))),
inference(forward_demodulation,[],[f30631,f3568]) ).
fof(f30631,plain,
sF4 = meet(composition(sk1,meet(sk3,composition(converse(sk1),sF4))),sF4),
inference(forward_demodulation,[],[f30584,f28748]) ).
fof(f30584,plain,
meet(composition(sk1,meet(sk3,composition(converse(sk1),sF4))),sF4) = join(sF4,meet(composition(sk1,meet(sk3,composition(converse(sk1),sF4))),sF4)),
inference(superposition,[],[f398,f23714]) ).
fof(f87472,plain,
meet(sk3,composition(sk1,sF4)) = join(meet(sk3,sF6),meet(sk3,composition(sk1,sF4))),
inference(forward_demodulation,[],[f87471,f26]) ).
fof(f87471,plain,
meet(sk3,composition(sk1,meet(sF2,sF3))) = join(meet(sk3,sF6),meet(sk3,composition(sk1,meet(sF2,sF3)))),
inference(forward_demodulation,[],[f87470,f3568]) ).
fof(f87470,plain,
meet(sk3,composition(sk1,meet(sF3,sF2))) = join(meet(sk3,sF6),meet(sk3,composition(sk1,meet(sF3,sF2)))),
inference(forward_demodulation,[],[f87469,f1]) ).
fof(f87469,plain,
meet(sk3,composition(sk1,meet(sF3,sF2))) = join(meet(sk3,composition(sk1,meet(sF3,sF2))),meet(sk3,sF6)),
inference(forward_demodulation,[],[f87468,f3568]) ).
fof(f87468,plain,
meet(sk3,composition(sk1,meet(sF3,sF2))) = join(meet(sk3,composition(sk1,meet(sF3,sF2))),meet(sF6,sk3)),
inference(forward_demodulation,[],[f87382,f1]) ).
fof(f87382,plain,
meet(sk3,composition(sk1,meet(sF3,sF2))) = join(meet(sF6,sk3),meet(sk3,composition(sk1,meet(sF3,sF2)))),
inference(superposition,[],[f84037,f24]) ).
fof(f84037,plain,
! [X0] : meet(X0,composition(sk1,meet(sF3,composition(sk1,X0)))) = join(meet(sF6,X0),meet(X0,composition(sk1,meet(sF3,composition(sk1,X0))))),
inference(forward_demodulation,[],[f84036,f34660]) ).
fof(f84036,plain,
! [X0] : meet(X0,composition(sk1,meet(sF3,composition(converse(sk1),X0)))) = join(meet(sF6,X0),meet(X0,composition(sk1,meet(sF3,composition(converse(sk1),X0))))),
inference(forward_demodulation,[],[f83980,f3568]) ).
fof(f83980,plain,
! [X0] : meet(composition(sk1,meet(sF3,composition(converse(sk1),X0))),X0) = join(meet(sF6,X0),meet(composition(sk1,meet(sF3,composition(converse(sk1),X0))),X0)),
inference(superposition,[],[f15,f83759]) ).
fof(f83774,plain,
sF6 = join(sF4,sF6),
inference(backward_demodulation,[],[f70196,f83759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : REL029-3 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.09 % Command : run_vampire %s %d THM
% 0.08/0.29 % Computer : n023.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jun 23 06:04:54 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.31 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.08/0.31 Running first-order theorem proving
% 0.08/0.31 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13271)lrs+10_2:1_to=lpo:drc=encompass:sil=4000:tgt=full:sp=const_min:urr=on:nwc=5.0:i=129:rawr=on_0 on theBenchmark for (3000ds/129Mi)
% 0.15/0.37 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13270)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (3000ds/143Mi)
% 0.15/0.37 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13273)dis+10_577:524288_drc=encompass:sil=256000:sp=const_frequency:spb=units:i=214:doe=on:bd=off:av=off:dpc=on:irc=eager:uhcvi=on:ss=included:rawr=on:to=lpo:slsq=on:slsqr=8,31:s2agt=5:s2at=4.0:fdi=2_0 on theBenchmark for (3000ds/214Mi)
% 0.15/0.37 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13268)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:sp=unary_first:sos=on:i=220312:kws=precedence:lwlo=on:irc=lazy_0 on theBenchmark for (3000ds/220312Mi)
% 0.15/0.37 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13269)lrs+10_16:1_sfv=off:sil=2000:sp=reverse_frequency:urr=ec_only:br=off:i=126:doe=on:irc=lazy:to=lpo:fd=preordered:bd=preordered:fsd=on:drc=encompass_0 on theBenchmark for (3000ds/126Mi)
% 0.15/0.38 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13267)dis+10_28091:1048576_to=lpo:drc=encompass:sil=128000:tgt=full:erd=off:cond=on:i=107869:doe=on:ins=2:av=off:dpc=on:irc=eager:s2pl=on:s2agt=5:s2at=4.0:foolp=on_0 on theBenchmark for (3000ds/107869Mi)
% 0.15/0.39 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (13272)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=735:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (3000ds/735Mi)
% 0.15/0.43 % (13271)Instruction limit reached!
% 0.15/0.43 % (13271)------------------------------
% 0.15/0.43 % (13271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.43 % (13271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.43 % (13271)Termination reason: Time limit
% 0.15/0.43 % (13271)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (13271)Memory used [KB]: 2559
% 0.15/0.43 % (13271)Time elapsed: 0.070 s
% 0.15/0.43 % (13271)Instructions burned: 131 (million)
% 0.15/0.44 % (13269)Instruction limit reached!
% 0.15/0.44 % (13269)------------------------------
% 0.15/0.44 % (13269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.44 % (13269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.44 % (13269)Termination reason: Time limit
% 0.15/0.44 % (13269)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (13269)Memory used [KB]: 2697
% 0.15/0.44 % (13269)Time elapsed: 0.069 s
% 0.15/0.44 % (13269)Instructions burned: 126 (million)
% 0.15/0.44 % (13270)Instruction limit reached!
% 0.15/0.44 % (13270)------------------------------
% 0.15/0.44 % (13270)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.44 % (13270)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.44 % (13270)Termination reason: Time limit
% 0.15/0.44 % (13270)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (13270)Memory used [KB]: 1680
% 0.15/0.44 % (13270)Time elapsed: 0.075 s
% 0.15/0.44 % (13270)Instructions burned: 144 (million)
% 0.15/0.47 % (13273)Instruction limit reached!
% 0.15/0.47 % (13273)------------------------------
% 0.15/0.47 % (13273)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.47 % (13273)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.47 % (13273)Termination reason: Time limit
% 0.15/0.47 % (13273)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (13273)Memory used [KB]: 2322
% 0.15/0.47 % (13273)Time elapsed: 0.102 s
% 0.15/0.47 % (13273)Instructions burned: 216 (million)
% 0.15/0.49 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.49 % (13274)lrs+10_1:64_sil=8000:tgt=full:spb=non_intro:i=204:kws=precedence:plsq=on:awrs=converge:awrsf=30:sp=weighted_frequency:drc=encompass:irc=eager_0 on theBenchmark for (2998ds/204Mi)
% 0.15/0.49 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.49 % (13275)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=444:fd=preordered:irc=eager:bd=preordered:ss=axioms_0 on theBenchmark for (2998ds/444Mi)
% 0.15/0.49 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.49 % (13276)lrs+10_3:58_drc=encompass:sil=256000:tgt=full:bsd=on:sp=reverse_arity:lwlo=on:s2a=on:i=365:s2at=2.0:kws=precedence:bsr=on:irw=on:dpc=on:fibus=on:doe=on:bs=on:br=off:erd=off:s2agt=20:nwc=8.95214440448525:cond=fast:foolp=on:spb=non_intro:sfv=off:irc=lazy:fde=unused:ins=3_0 on theBenchmark for (2998ds/365Mi)
% 0.15/0.53 % (13266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.53 % (13277)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=390:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2998ds/390Mi)
% 1.87/0.58 % (13274)Instruction limit reached!
% 1.87/0.58 % (13274)------------------------------
% 1.87/0.58 % (13274)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.87/0.58 % (13274)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.87/0.58 % (13274)Termination reason: Time limit
% 1.87/0.58 % (13274)Termination phase: Saturation
% 1.87/0.58
% 1.87/0.58 % (13274)Memory used [KB]: 2581
% 1.87/0.58 % (13274)Time elapsed: 0.091 s
% 1.87/0.58 % (13274)Instructions burned: 204 (million)
% 2.28/0.65 % (13266)Running in auto input_syntax mode. Trying TPTP
% 2.28/0.65 % (13278)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2997ds/2789Mi)
% 2.28/0.71 % (13275)Instruction limit reached!
% 2.28/0.71 % (13275)------------------------------
% 2.28/0.71 % (13275)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.28/0.71 % (13275)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.28/0.71 % (13275)Termination reason: Time limit
% 2.28/0.71 % (13275)Termination phase: Saturation
% 2.28/0.71
% 2.28/0.71 % (13275)Memory used [KB]: 6226
% 2.28/0.71 % (13275)Time elapsed: 0.217 s
% 2.28/0.71 % (13275)Instructions burned: 444 (million)
% 2.28/0.71 % (13276)Instruction limit reached!
% 2.28/0.71 % (13276)------------------------------
% 2.28/0.71 % (13276)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.28/0.71 % (13276)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.28/0.71 % (13276)Termination reason: Time limit
% 2.28/0.71 % (13276)Termination phase: Saturation
% 2.28/0.71
% 2.28/0.71 % (13276)Memory used [KB]: 4733
% 2.28/0.71 % (13276)Time elapsed: 0.206 s
% 2.28/0.71 % (13276)Instructions burned: 365 (million)
% 2.28/0.71 % (13277)Instruction limit reached!
% 2.28/0.71 % (13277)------------------------------
% 2.28/0.71 % (13277)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.28/0.71 % (13277)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.28/0.71 % (13277)Termination reason: Time limit
% 2.28/0.71 % (13277)Termination phase: Saturation
% 2.28/0.71
% 2.28/0.71 % (13277)Memory used [KB]: 4975
% 2.28/0.71 % (13277)Time elapsed: 0.184 s
% 2.28/0.71 % (13277)Instructions burned: 391 (million)
% 2.72/0.76 % (13266)Running in auto input_syntax mode. Trying TPTP
% 2.72/0.76 % (13280)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=6970:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2996ds/6970Mi)
% 2.72/0.76 % (13266)Running in auto input_syntax mode. Trying TPTP
% 2.72/0.76 % (13279)lrs+10_1:3_drc=encompass:sil=256000:tgt=ground:sp=unary_first:i=975:ss=axioms:sgt=10:rawr=on:urr=on:ins=1:plsq=on:dpc=on:spb=intro:sd=4:fsr=off:bs=on:kws=inv_arity:irc=lazy:nwc=5.0_0 on theBenchmark for (2996ds/975Mi)
% 2.72/0.77 % (13266)Running in auto input_syntax mode. Trying TPTP
% 2.72/0.77 % (13281)lrs+10_7:24_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:i=522:irc=lazy:slsq=on:fdi=256:nwc=10.0:dpc=on:ss=included:st=2.0_0 on theBenchmark for (2996ds/522Mi)
% 2.89/0.78 % (13272)Instruction limit reached!
% 2.89/0.78 % (13272)------------------------------
% 2.89/0.78 % (13272)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.89/0.78 % (13272)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.89/0.78 % (13272)Termination reason: Time limit
% 2.89/0.78 % (13272)Termination phase: Saturation
% 2.89/0.78
% 2.89/0.78 % (13272)Memory used [KB]: 10176
% 2.89/0.78 % (13272)Time elapsed: 0.401 s
% 2.89/0.78 % (13272)Instructions burned: 736 (million)
% 2.89/0.84 % (13266)Running in auto input_syntax mode. Trying TPTP
% 2.89/0.84 % (13282)lrs+10_1:1024_drc=encompass:sil=8000:tgt=ground:fde=unused:sp=const_min:spb=goal:kmz=on:i=1381:kws=inv_arity:awrs=converge:awrsf=200:irc=eager_0 on theBenchmark for (2995ds/1381Mi)
% 3.25/0.97 % (13281)Instruction limit reached!
% 3.25/0.97 % (13281)------------------------------
% 3.25/0.97 % (13281)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.25/0.97 % (13281)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.25/0.97 % (13281)Termination reason: Time limit
% 3.25/0.97 % (13281)Termination phase: Saturation
% 3.25/0.97
% 3.25/0.97 % (13281)Memory used [KB]: 3287
% 3.25/0.97 % (13281)Time elapsed: 0.208 s
% 3.25/0.97 % (13281)Instructions burned: 524 (million)
% 3.66/1.04 % (13266)Running in auto input_syntax mode. Trying TPTP
% 3.66/1.04 % (13283)lrs+10_1:4_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:fd=preordered:i=589:irc=lazy:slsq=on:slsqr=1,4_0 on theBenchmark for (2993ds/589Mi)
% 6.40/1.25 % (13279)Instruction limit reached!
% 6.40/1.25 % (13279)------------------------------
% 6.40/1.25 % (13279)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.40/1.25 % (13279)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.40/1.25 % (13279)Termination reason: Time limit
% 6.40/1.25 % (13279)Termination phase: Saturation
% 6.40/1.25
% 6.40/1.25 % (13279)Memory used [KB]: 8817
% 6.40/1.25 % (13279)Time elapsed: 0.485 s
% 6.40/1.25 % (13279)Instructions burned: 976 (million)
% 6.40/1.30 % (13266)Running in auto input_syntax mode. Trying TPTP
% 6.40/1.30 % (13284)lrs+10_1:4_bsr=on:slsqr=2,7:to=lpo:drc=encompass:sil=16000:tgt=full:sp=unary_first:spb=goal:slsq=on:i=659:slsql=off:ins=2:irc=eager:rawr=on:nwc=8.7296035496261:erd=off:s2pl=no:cond=fast:plsq=on:sims=off_0 on theBenchmark for (2990ds/659Mi)
% 6.40/1.32 % (13283)Instruction limit reached!
% 6.40/1.32 % (13283)------------------------------
% 6.40/1.32 % (13283)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.40/1.32 % (13283)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.40/1.32 % (13283)Termination reason: Time limit
% 6.40/1.32 % (13283)Termination phase: Saturation
% 6.40/1.32
% 6.40/1.32 % (13283)Memory used [KB]: 6486
% 6.40/1.32 % (13283)Time elapsed: 0.287 s
% 6.40/1.32 % (13283)Instructions burned: 590 (million)
% 7.03/1.37 % (13266)Running in auto input_syntax mode. Trying TPTP
% 7.03/1.37 % (13285)lrs+10_1:1_sil=4000:sp=occurrence:i=1397:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2989ds/1397Mi)
% 8.24/1.58 % (13282)Instruction limit reached!
% 8.24/1.58 % (13282)------------------------------
% 8.24/1.58 % (13282)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.24/1.58 % (13282)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.24/1.58 % (13282)Termination reason: Time limit
% 8.24/1.58 % (13282)Termination phase: Saturation
% 8.24/1.58
% 8.24/1.58 % (13282)Memory used [KB]: 17052
% 8.24/1.58 % (13282)Time elapsed: 0.741 s
% 8.24/1.58 % (13282)Instructions burned: 1381 (million)
% 8.49/1.65 % (13266)Running in auto input_syntax mode. Trying TPTP
% 8.49/1.65 % (13286)lrs+10_15:74_drc=encompass:sil=4000:tgt=full:fde=none:sp=const_min:i=856:kws=inv_frequency:awrs=converge:awrsf=120:rawr=on:nwc=0.9964432792968732:fsr=off:urr=on_0 on theBenchmark for (2987ds/856Mi)
% 8.49/1.65 % (13284)Instruction limit reached!
% 8.49/1.65 % (13284)------------------------------
% 8.49/1.65 % (13284)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.49/1.65 % (13284)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.49/1.65 % (13284)Termination reason: Time limit
% 8.49/1.65 % (13284)Termination phase: Saturation
% 8.49/1.65
% 8.49/1.65 % (13284)Memory used [KB]: 7105
% 8.49/1.65 % (13284)Time elapsed: 0.347 s
% 8.49/1.65 % (13284)Instructions burned: 660 (million)
% 8.49/1.71 % (13266)Running in auto input_syntax mode. Trying TPTP
% 8.49/1.71 % (13287)lrs+10_1:28_drc=encompass:sil=256000:tgt=full:spb=intro:i=918:kws=precedence:awrs=converge:awrsf=240:ss=axioms:rawr=on:irc=lazy:st=3.0:sp=const_frequency_0 on theBenchmark for (2986ds/918Mi)
% 12.58/2.12 % (13285)Instruction limit reached!
% 12.58/2.12 % (13285)------------------------------
% 12.58/2.12 % (13285)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.58/2.12 % (13285)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.58/2.12 % (13285)Termination reason: Time limit
% 12.58/2.12 % (13285)Termination phase: Saturation
% 12.58/2.12
% 12.58/2.12 % (13285)Memory used [KB]: 10229
% 12.58/2.12 % (13285)Time elapsed: 0.749 s
% 12.58/2.12 % (13285)Instructions burned: 1398 (million)
% 12.58/2.13 % (13286)Instruction limit reached!
% 12.58/2.13 % (13286)------------------------------
% 12.58/2.13 % (13286)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.58/2.13 % (13286)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.58/2.13 % (13286)Termination reason: Time limit
% 12.58/2.13 % (13286)Termination phase: Saturation
% 12.58/2.13
% 12.58/2.13 % (13286)Memory used [KB]: 9546
% 12.58/2.13 % (13286)Time elapsed: 0.488 s
% 12.58/2.13 % (13286)Instructions burned: 857 (million)
% 12.58/2.19 % (13266)Running in auto input_syntax mode. Trying TPTP
% 12.58/2.19 % (13288)lrs+10_1:25_to=lpo:drc=encompass:sil=2000:fde=none:sp=const_min:fd=preordered:i=1093_0 on theBenchmark for (2982ds/1093Mi)
% 12.58/2.19 % (13266)Running in auto input_syntax mode. Trying TPTP
% 12.58/2.19 % (13289)ott+10_1:2_sil=256000:tgt=ground:sp=reverse_frequency:spb=goal:i=1333:kws=precedence:irc=lazy_0 on theBenchmark for (2981ds/1333Mi)
% 13.07/2.20 % (13278)Instruction limit reached!
% 13.07/2.20 % (13278)------------------------------
% 13.07/2.20 % (13278)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.07/2.20 % (13278)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.07/2.20 % (13278)Termination reason: Time limit
% 13.07/2.20 % (13278)Termination phase: Saturation
% 13.07/2.20
% 13.07/2.20 % (13278)Memory used [KB]: 29456
% 13.07/2.20 % (13278)Time elapsed: 1.554 s
% 13.07/2.20 % (13278)Instructions burned: 2789 (million)
% 13.07/2.23 % (13287)Instruction limit reached!
% 13.07/2.23 % (13287)------------------------------
% 13.07/2.23 % (13287)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.07/2.23 % (13287)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.07/2.23 % (13287)Termination reason: Time limit
% 13.07/2.23 % (13287)Termination phase: Saturation
% 13.07/2.23
% 13.07/2.23 % (13287)Memory used [KB]: 12040
% 13.07/2.23 % (13287)Time elapsed: 0.526 s
% 13.07/2.23 % (13287)Instructions burned: 918 (million)
% 13.07/2.27 % (13266)Running in auto input_syntax mode. Trying TPTP
% 13.07/2.27 % (13290)lrs+10_1:1_drc=encompass:sil=32000:tgt=ground:sp=unary_frequency:lwlo=on:i=23534:irc=eager:kws=precedence_0 on theBenchmark for (2981ds/23534Mi)
% 13.38/2.29 % (13266)Running in auto input_syntax mode. Trying TPTP
% 13.38/2.29 % (13291)dis+10_1:1_sil=256000:nwc=10.0:s2agt=32:s2a=on:i=1724:fde=none:fd=off_0 on theBenchmark for (2980ds/1724Mi)
% 16.70/2.75 % (13288)Instruction limit reached!
% 16.70/2.75 % (13288)------------------------------
% 16.70/2.75 % (13288)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.70/2.75 % (13288)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.70/2.75 % (13288)Termination reason: Time limit
% 16.70/2.75 % (13288)Termination phase: Saturation
% 16.70/2.75
% 16.70/2.76 % (13288)Memory used [KB]: 6467
% 16.70/2.76 % (13288)Time elapsed: 0.593 s
% 16.70/2.76 % (13288)Instructions burned: 1093 (million)
% 17.24/2.82 % (13266)Running in auto input_syntax mode. Trying TPTP
% 17.24/2.82 % (13292)lrs+10_11:1_sil=4000:fde=none:nwc=5.0:st=3.0:i=1762:bd=off:ss=axioms:fd=off_0 on theBenchmark for (2975ds/1762Mi)
% 17.82/2.89 % (13289)Instruction limit reached!
% 17.82/2.89 % (13289)------------------------------
% 17.82/2.89 % (13289)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.82/2.89 % (13289)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.82/2.89 % (13289)Termination reason: Time limit
% 17.82/2.89 % (13289)Termination phase: Saturation
% 17.82/2.89
% 17.82/2.89 % (13289)Memory used [KB]: 14144
% 17.82/2.89 % (13289)Time elapsed: 0.722 s
% 17.82/2.89 % (13289)Instructions burned: 1334 (million)
% 18.01/2.96 % (13266)Running in auto input_syntax mode. Trying TPTP
% 18.01/2.96 % (13293)lrs+10_8:1_drc=encompass:sil=256000:st=3.0:s2a=on:i=3083:s2at=1.2:ss=axioms:sd=15_0 on theBenchmark for (2974ds/3083Mi)
% 18.86/3.11 % (13291)Instruction limit reached!
% 18.86/3.11 % (13291)------------------------------
% 18.86/3.11 % (13291)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.86/3.11 % (13291)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.86/3.11 % (13291)Termination reason: Time limit
% 18.86/3.11 % (13291)Termination phase: Saturation
% 18.86/3.11
% 18.86/3.11 % (13291)Memory used [KB]: 20807
% 18.86/3.11 % (13291)Time elapsed: 0.814 s
% 18.86/3.11 % (13291)Instructions burned: 1724 (million)
% 18.86/3.17 % (13266)Running in auto input_syntax mode. Trying TPTP
% 18.86/3.17 % (13294)lrs+10_1:64_drc=encompass:sil=16000:tgt=full:sp=reverse_frequency:slsq=on:i=4105:kws=precedence:slsql=off:ss=axioms:bs=unit_only:irc=lazy:spb=goal_0 on theBenchmark for (2972ds/4105Mi)
% 22.51/3.56 % (13292)Instruction limit reached!
% 22.51/3.56 % (13292)------------------------------
% 22.51/3.56 % (13292)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.51/3.56 % (13292)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.51/3.56 % (13292)Termination reason: Time limit
% 22.51/3.56 % (13292)Termination phase: Saturation
% 22.51/3.56
% 22.51/3.56 % (13292)Memory used [KB]: 5974
% 22.51/3.56 % (13292)Time elapsed: 0.765 s
% 22.51/3.56 % (13292)Instructions burned: 1764 (million)
% 22.96/3.62 % (13266)Running in auto input_syntax mode. Trying TPTP
% 22.96/3.62 % (13295)lrs+10_1:4_drc=encompass:sil=32000:tgt=full:fde=unused:sp=const_frequency:nwc=10.0:i=9762:dpc=on:rawr=on:bd=preordered:to=lpo_0 on theBenchmark for (2967ds/9762Mi)
% 27.76/4.33 % (13293)Instruction limit reached!
% 27.76/4.33 % (13293)------------------------------
% 27.76/4.33 % (13293)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.76/4.33 % (13293)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.76/4.33 % (13293)Termination reason: Time limit
% 27.76/4.33 % (13293)Termination phase: Saturation
% 27.76/4.33
% 27.76/4.33 % (13293)Memory used [KB]: 11749
% 27.76/4.33 % (13293)Time elapsed: 1.395 s
% 27.76/4.33 % (13293)Instructions burned: 3085 (million)
% 28.38/4.39 % (13266)Running in auto input_syntax mode. Trying TPTP
% 28.38/4.39 % (13296)lrs+10_1:27_bsr=unit_only:to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:fd=preordered:i=9874:bs=on:dpc=on:uhcvi=on:rawr=on:irc=lazy:er=filter:erape=on:erml=3_0 on theBenchmark for (2959ds/9874Mi)
% 28.86/4.51 % (13280)Instruction limit reached!
% 28.86/4.51 % (13280)------------------------------
% 28.86/4.51 % (13280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.86/4.51 % (13280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.86/4.51 % (13280)Termination reason: Time limit
% 28.86/4.51 % (13280)Termination phase: Saturation
% 28.86/4.51
% 28.86/4.51 % (13280)Memory used [KB]: 70813
% 28.86/4.51 % (13280)Time elapsed: 3.740 s
% 28.86/4.51 % (13280)Instructions burned: 6971 (million)
% 29.39/4.56 % (13266)Running in auto input_syntax mode. Trying TPTP
% 29.39/4.56 % (13297)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=7263:s2at=2.0_0 on theBenchmark for (2958ds/7263Mi)
% 33.47/5.16 % (13294)Instruction limit reached!
% 33.47/5.16 % (13294)------------------------------
% 33.47/5.16 % (13294)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.47/5.16 % (13294)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.47/5.16 % (13294)Termination reason: Time limit
% 33.47/5.16 % (13294)Termination phase: Saturation
% 33.47/5.16
% 33.47/5.16 % (13294)Memory used [KB]: 18389
% 33.47/5.16 % (13294)Time elapsed: 2.002 s
% 33.47/5.16 % (13294)Instructions burned: 4105 (million)
% 33.97/5.22 % (13266)Running in auto input_syntax mode. Trying TPTP
% 33.97/5.22 % (13298)lrs+10_2:3_sil=128000:fde=none:s2a=on:i=13654:s2at=3.0:lwlo=on:bd=off_0 on theBenchmark for (2951ds/13654Mi)
% 39.05/5.91 % (13295)First to succeed.
% 39.05/5.92 % (13295)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13266"
% 39.05/5.92 % (13266)Running in auto input_syntax mode. Trying TPTP
% 39.05/5.92 % (13295)Refutation found. Thanks to Tanya!
% 39.05/5.92 % SZS status Unsatisfiable for theBenchmark
% 39.05/5.92 % SZS output start Proof for theBenchmark
% See solution above
% 39.19/5.93 % (13295)------------------------------
% 39.19/5.93 % (13295)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 39.19/5.93 % (13295)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 39.19/5.93 % (13295)Termination reason: Refutation
% 39.19/5.93
% 39.19/5.93 % (13295)Memory used [KB]: 35410
% 39.19/5.93 % (13295)Time elapsed: 2.315 s
% 39.19/5.93 % (13295)Instructions burned: 4268 (million)
% 39.19/5.93 % (13295)------------------------------
% 39.19/5.93 % (13295)------------------------------
% 39.19/5.93 % (13266)Success in time 5.612 s
%------------------------------------------------------------------------------