TSTP Solution File: REL025-1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : REL025-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 13:59:04 EDT 2024
% Result : Unsatisfiable 21.21s 3.46s
% Output : Refutation 21.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 17
% Syntax : Number of formulae : 437 ( 437 unt; 0 def)
% Number of atoms : 437 ( 436 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 : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 412 ( 412 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75823,plain,
$false,
inference(subsumption_resolution,[],[f75822,f17]) ).
fof(f17,plain,
sk1 != sF0,
inference(definition_folding,[],[f15,f16]) ).
fof(f16,plain,
converse(sk1) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f15,axiom,
sk1 != converse(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f75822,plain,
sk1 = sF0,
inference(forward_demodulation,[],[f75821,f75779]) ).
fof(f75779,plain,
sk1 = join(sk1,sF0),
inference(forward_demodulation,[],[f75778,f6405]) ).
fof(f6405,plain,
! [X1] : join(X1,zero) = X1,
inference(backward_demodulation,[],[f6353,f6395]) ).
fof(f6395,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,top))),X1) = X1,
inference(backward_demodulation,[],[f6354,f6389]) ).
fof(f6389,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f6335,f6388]) ).
fof(f6388,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f6300,f6310]) ).
fof(f6310,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f6282,f6262]) ).
fof(f6262,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f4492,f6202]) ).
fof(f6202,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f6201,f22]) ).
fof(f22,plain,
zero = complement(top),
inference(backward_demodulation,[],[f21,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6201,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f6200,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6200,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(backward_demodulation,[],[f446,f6199]) ).
fof(f6199,plain,
! [X0,X1] : top = join(complement(X1),complement(composition(converse(X0),complement(composition(X0,X1))))),
inference(forward_demodulation,[],[f6198,f4489]) ).
fof(f4489,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f4462,f4476]) ).
fof(f4476,plain,
top = join(top,top),
inference(forward_demodulation,[],[f4475,f4462]) ).
fof(f4475,plain,
! [X0] : top = join(top,join(complement(join(top,top)),complement(join(zero,complement(X0))))),
inference(forward_demodulation,[],[f4451,f2165]) ).
fof(f2165,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X1,X0)),
inference(forward_demodulation,[],[f2164,f136]) ).
fof(f136,plain,
! [X0] : join(top,X0) = join(sk1,join(top,X0)),
inference(superposition,[],[f2,f126]) ).
fof(f126,plain,
top = join(sk1,top),
inference(superposition,[],[f99,f12]) ).
fof(f99,plain,
! [X0] : join(one,X0) = join(sk1,join(one,X0)),
inference(superposition,[],[f2,f20]) ).
fof(f20,plain,
one = join(sk1,one),
inference(backward_demodulation,[],[f18,f19]) ).
fof(f19,plain,
one = sF1,
inference(definition_folding,[],[f14,f18]) ).
fof(f14,axiom,
one = join(sk1,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f18,plain,
join(sk1,one) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
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(f2164,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(sk1,join(top,join(X1,X0))),
inference(forward_demodulation,[],[f2136,f1603]) ).
fof(f1603,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,join(X2,X3))) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f1602,f2]) ).
fof(f1602,plain,
! [X2,X3,X0,X1] : join(X0,join(join(X1,X2),X3)) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f1601,f2]) ).
fof(f1601,plain,
! [X2,X3,X0,X1] : join(join(X0,join(X1,X2)),X3) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f1504,f2]) ).
fof(f1504,plain,
! [X2,X3,X0,X1] : join(join(X0,join(X1,X2)),X3) = join(X2,join(join(X0,X1),X3)),
inference(superposition,[],[f92,f2]) ).
fof(f92,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f2136,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X1,join(sk1,X0))),
inference(superposition,[],[f1549,f104]) ).
fof(f104,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f1549,plain,
! [X0] : join(top,X0) = join(top,join(sk1,X0)),
inference(superposition,[],[f92,f126]) ).
fof(f4451,plain,
! [X0] : top = join(top,join(complement(join(zero,complement(X0))),complement(join(top,top)))),
inference(superposition,[],[f103,f4434]) ).
fof(f4434,plain,
! [X0] : join(top,top) = join(top,complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f4433,f12]) ).
fof(f4433,plain,
! [X0] : join(top,complement(join(zero,complement(X0)))) = join(top,join(X0,complement(X0))),
inference(forward_demodulation,[],[f4432,f2165]) ).
fof(f4432,plain,
! [X0] : join(top,complement(join(zero,complement(X0)))) = join(top,join(complement(X0),X0)),
inference(forward_demodulation,[],[f4401,f2]) ).
fof(f4401,plain,
! [X0] : join(top,complement(join(zero,complement(X0)))) = join(join(top,complement(X0)),X0),
inference(superposition,[],[f91,f468]) ).
fof(f468,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f467,f1]) ).
fof(f467,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f466,f1]) ).
fof(f466,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f465,f1]) ).
fof(f465,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f455,f1]) ).
fof(f455,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f24,f22]) ).
fof(f24,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(f91,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f103,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f4462,plain,
! [X1] : join(top,X1) = join(top,top),
inference(backward_demodulation,[],[f1034,f4441]) ).
fof(f4441,plain,
! [X0] : join(top,top) = join(top,complement(X0)),
inference(superposition,[],[f4434,f473]) ).
fof(f473,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f472,f22]) ).
fof(f472,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f457,f1]) ).
fof(f457,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f24,f12]) ).
fof(f1034,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f1033,f91]) ).
fof(f1033,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f1032,f104]) ).
fof(f1032,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f1000,f2]) ).
fof(f1000,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X0),X1),X0),
inference(superposition,[],[f91,f24]) ).
fof(f6198,plain,
! [X0,X1] : join(top,complement(X1)) = join(complement(X1),complement(composition(converse(X0),complement(composition(X0,X1))))),
inference(forward_demodulation,[],[f6144,f1]) ).
fof(f6144,plain,
! [X0,X1] : join(complement(X1),top) = join(complement(X1),complement(composition(converse(X0),complement(composition(X0,X1))))),
inference(superposition,[],[f303,f12]) ).
fof(f303,plain,
! [X2,X0,X1] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
inference(superposition,[],[f2,f23]) ).
fof(f23,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(f446,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))) = X0,
inference(superposition,[],[f24,f23]) ).
fof(f4492,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f4482,f22]) ).
fof(f4482,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(backward_demodulation,[],[f4455,f4476]) ).
fof(f4455,plain,
! [X0] : join(complement(join(top,top)),complement(join(zero,complement(X0)))) = X0,
inference(backward_demodulation,[],[f468,f4441]) ).
fof(f6282,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f4492,f6262]) ).
fof(f6300,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X1,complement(complement(X0)))))) = X0,
inference(backward_demodulation,[],[f5767,f6262]) ).
fof(f5767,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(forward_demodulation,[],[f5720,f22]) ).
fof(f5720,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(superposition,[],[f24,f4518]) ).
fof(f4518,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1001,f4489]) ).
fof(f1001,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f91,f1]) ).
fof(f6335,plain,
! [X0] : join(zero,X0) = complement(join(complement(X0),complement(join(zero,X0)))),
inference(forward_demodulation,[],[f6324,f1]) ).
fof(f6324,plain,
! [X0] : join(zero,X0) = complement(join(complement(join(zero,X0)),complement(X0))),
inference(backward_demodulation,[],[f6309,f6310]) ).
fof(f6309,plain,
! [X0] : join(zero,X0) = complement(join(complement(join(zero,X0)),complement(complement(complement(X0))))),
inference(forward_demodulation,[],[f6281,f6262]) ).
fof(f6281,plain,
! [X0] : join(zero,X0) = join(zero,complement(join(complement(join(zero,X0)),complement(complement(complement(X0)))))),
inference(backward_demodulation,[],[f3658,f6262]) ).
fof(f3658,plain,
! [X0] : join(zero,X0) = join(zero,complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))),
inference(forward_demodulation,[],[f3624,f22]) ).
fof(f3624,plain,
! [X0] : join(zero,X0) = join(complement(top),complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))),
inference(superposition,[],[f24,f454]) ).
fof(f454,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
inference(superposition,[],[f24,f22]) ).
fof(f6354,plain,
! [X0,X1] : join(zero,X1) = join(composition(converse(X0),complement(composition(X0,top))),X1),
inference(backward_demodulation,[],[f2600,f6348]) ).
fof(f6348,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(forward_demodulation,[],[f6283,f6310]) ).
fof(f6283,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(backward_demodulation,[],[f4506,f6262]) ).
fof(f4506,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(join(zero,complement(X0))),X1)),
inference(forward_demodulation,[],[f4484,f22]) ).
fof(f4484,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(join(zero,complement(X0))),X1)),
inference(backward_demodulation,[],[f4457,f4476]) ).
fof(f4457,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(top,top)),join(complement(join(zero,complement(X0))),X1)),
inference(backward_demodulation,[],[f4403,f4441]) ).
fof(f4403,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(top,complement(X0))),join(complement(join(zero,complement(X0))),X1)),
inference(superposition,[],[f2,f468]) ).
fof(f2600,plain,
! [X0,X1] : join(zero,X1) = join(zero,join(composition(converse(X0),complement(composition(X0,top))),X1)),
inference(superposition,[],[f2,f293]) ).
fof(f293,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f23,f22]) ).
fof(f6353,plain,
! [X0,X1] : join(X1,zero) = join(composition(converse(X0),complement(composition(X0,top))),X1),
inference(backward_demodulation,[],[f2606,f6348]) ).
fof(f2606,plain,
! [X0,X1] : join(X1,zero) = join(zero,join(composition(converse(X0),complement(composition(X0,top))),X1)),
inference(superposition,[],[f104,f293]) ).
fof(f75778,plain,
join(sk1,sF0) = join(sk1,zero),
inference(forward_demodulation,[],[f75777,f22]) ).
fof(f75777,plain,
join(sk1,sF0) = join(sk1,complement(top)),
inference(forward_demodulation,[],[f75661,f6310]) ).
fof(f75661,plain,
join(sk1,complement(top)) = join(sk1,complement(complement(sF0))),
inference(superposition,[],[f29450,f75003]) ).
fof(f75003,plain,
top = join(sk1,complement(sF0)),
inference(backward_demodulation,[],[f73598,f74962]) ).
fof(f74962,plain,
complement(sF0) = join(complement(sF0),complement(composition(top,sk1))),
inference(superposition,[],[f13897,f74901]) ).
fof(f74901,plain,
composition(top,sk1) = composition(top,sF0),
inference(forward_demodulation,[],[f74900,f5163]) ).
fof(f5163,plain,
top = converse(top),
inference(forward_demodulation,[],[f5162,f4489]) ).
fof(f5162,plain,
converse(top) = join(top,converse(complement(sF0))),
inference(forward_demodulation,[],[f5161,f1]) ).
fof(f5161,plain,
converse(top) = join(converse(complement(sF0)),top),
inference(forward_demodulation,[],[f5152,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5152,plain,
converse(top) = join(converse(complement(sF0)),converse(converse(top))),
inference(superposition,[],[f9,f4592]) ).
fof(f4592,plain,
top = join(complement(sF0),converse(top)),
inference(backward_demodulation,[],[f2968,f4489]) ).
fof(f2968,plain,
join(top,converse(top)) = join(complement(sF0),converse(top)),
inference(forward_demodulation,[],[f2967,f1]) ).
fof(f2967,plain,
join(top,converse(top)) = join(converse(top),complement(sF0)),
inference(forward_demodulation,[],[f2966,f8]) ).
fof(f2966,plain,
join(top,converse(top)) = join(converse(top),converse(converse(complement(sF0)))),
inference(forward_demodulation,[],[f2965,f1]) ).
fof(f2965,plain,
join(converse(top),converse(converse(complement(sF0)))) = join(converse(top),top),
inference(forward_demodulation,[],[f2964,f8]) ).
fof(f2964,plain,
join(converse(top),converse(converse(complement(sF0)))) = join(converse(top),converse(converse(top))),
inference(forward_demodulation,[],[f2956,f9]) ).
fof(f2956,plain,
join(converse(top),converse(converse(complement(sF0)))) = converse(join(top,converse(top))),
inference(superposition,[],[f9,f2130]) ).
fof(f2130,plain,
join(top,converse(complement(sF0))) = join(top,converse(top)),
inference(superposition,[],[f1549,f58]) ).
fof(f58,plain,
converse(top) = join(sk1,converse(complement(sF0))),
inference(superposition,[],[f32,f25]) ).
fof(f25,plain,
sk1 = converse(sF0),
inference(superposition,[],[f8,f16]) ).
fof(f32,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = converse(top),
inference(superposition,[],[f9,f12]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f74900,plain,
composition(converse(top),sk1) = composition(converse(top),sF0),
inference(forward_demodulation,[],[f74899,f25]) ).
fof(f74899,plain,
composition(converse(top),sF0) = composition(converse(top),converse(sF0)),
inference(forward_demodulation,[],[f74898,f16]) ).
fof(f74898,plain,
composition(converse(top),converse(sF0)) = composition(converse(top),converse(sk1)),
inference(forward_demodulation,[],[f74867,f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f74867,plain,
composition(converse(top),converse(sF0)) = converse(composition(sk1,top)),
inference(superposition,[],[f10,f74737]) ).
fof(f74737,plain,
composition(sF0,top) = composition(sk1,top),
inference(forward_demodulation,[],[f74736,f74624]) ).
fof(f74624,plain,
composition(sk1,top) = join(composition(sk1,top),composition(sF0,top)),
inference(superposition,[],[f185,f74532]) ).
fof(f74532,plain,
composition(sF0,top) = composition(sF0,composition(sk1,top)),
inference(superposition,[],[f34215,f16]) ).
fof(f34215,plain,
! [X0] : composition(converse(X0),top) = composition(converse(X0),composition(X0,top)),
inference(forward_demodulation,[],[f34214,f5163]) ).
fof(f34214,plain,
! [X0] : composition(converse(X0),converse(top)) = composition(converse(X0),composition(X0,top)),
inference(forward_demodulation,[],[f34213,f10]) ).
fof(f34213,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),composition(X0,top)),
inference(forward_demodulation,[],[f34212,f8]) ).
fof(f34212,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),composition(converse(converse(X0)),top)),
inference(forward_demodulation,[],[f34211,f5]) ).
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(f34211,plain,
! [X0] : converse(composition(top,X0)) = composition(composition(converse(X0),converse(converse(X0))),top),
inference(forward_demodulation,[],[f34210,f10]) ).
fof(f34210,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(composition(converse(X0),X0)),top),
inference(forward_demodulation,[],[f34185,f5163]) ).
fof(f34185,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(composition(converse(X0),X0)),converse(top)),
inference(superposition,[],[f10,f34056]) ).
fof(f34056,plain,
! [X0] : composition(top,X0) = composition(top,composition(converse(X0),X0)),
inference(forward_demodulation,[],[f34055,f5163]) ).
fof(f34055,plain,
! [X0] : composition(top,X0) = composition(converse(top),composition(converse(X0),X0)),
inference(forward_demodulation,[],[f34054,f5]) ).
fof(f34054,plain,
! [X0] : composition(top,X0) = composition(composition(converse(top),converse(X0)),X0),
inference(forward_demodulation,[],[f34053,f10]) ).
fof(f34053,plain,
! [X0] : composition(top,X0) = composition(converse(composition(X0,top)),X0),
inference(forward_demodulation,[],[f34052,f6310]) ).
fof(f34052,plain,
! [X0] : composition(top,X0) = composition(converse(complement(complement(composition(X0,top)))),X0),
inference(forward_demodulation,[],[f33988,f6389]) ).
fof(f33988,plain,
! [X0] : composition(top,X0) = join(zero,composition(converse(complement(complement(composition(X0,top)))),X0)),
inference(superposition,[],[f5177,f6400]) ).
fof(f6400,plain,
! [X0] : zero = composition(converse(complement(composition(X0,top))),X0),
inference(backward_demodulation,[],[f5876,f6389]) ).
fof(f5876,plain,
! [X0] : zero = join(zero,composition(converse(complement(composition(X0,top))),X0)),
inference(backward_demodulation,[],[f2620,f5875]) ).
fof(f5875,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f5874,f4708]) ).
fof(f4708,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f4491,f22]) ).
fof(f4491,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f4465,f4476]) ).
fof(f4465,plain,
zero = join(zero,complement(join(top,top))),
inference(backward_demodulation,[],[f4428,f4441]) ).
fof(f4428,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f4427,f22]) ).
fof(f4427,plain,
zero = join(complement(top),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f4399,f1]) ).
fof(f4399,plain,
zero = join(complement(join(top,complement(zero))),complement(top)),
inference(superposition,[],[f468,f12]) ).
fof(f5874,plain,
converse(zero) = join(zero,zero),
inference(forward_demodulation,[],[f5873,f22]) ).
fof(f5873,plain,
converse(zero) = join(zero,complement(top)),
inference(forward_demodulation,[],[f5872,f4679]) ).
fof(f4679,plain,
! [X0] : join(zero,complement(X0)) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f4678,f1]) ).
fof(f4678,plain,
! [X0] : join(complement(X0),zero) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f4557,f22]) ).
fof(f4557,plain,
! [X0] : join(complement(X0),complement(top)) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f4416,f4489]) ).
fof(f4416,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,X0))),
inference(forward_demodulation,[],[f4415,f1034]) ).
fof(f4415,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))),
inference(forward_demodulation,[],[f4397,f1]) ).
fof(f4397,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(join(top,complement(join(complement(X0),complement(X0))))),complement(X0)),
inference(superposition,[],[f468,f473]) ).
fof(f5872,plain,
converse(zero) = join(complement(top),complement(top)),
inference(forward_demodulation,[],[f5871,f4489]) ).
fof(f5871,plain,
! [X0] : converse(zero) = join(complement(top),complement(join(top,X0))),
inference(forward_demodulation,[],[f5870,f1]) ).
fof(f5870,plain,
! [X0] : converse(zero) = join(complement(join(top,X0)),complement(top)),
inference(forward_demodulation,[],[f5856,f4489]) ).
fof(f5856,plain,
! [X0] : converse(zero) = join(complement(join(top,X0)),complement(join(top,complement(X0)))),
inference(superposition,[],[f24,f5844]) ).
fof(f5844,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f5837,f5163]) ).
fof(f5837,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f8,f5830]) ).
fof(f5830,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f5829,f4492]) ).
fof(f5829,plain,
top = join(zero,complement(join(zero,complement(converse(complement(converse(zero))))))),
inference(forward_demodulation,[],[f5804,f22]) ).
fof(f5804,plain,
top = join(complement(top),complement(join(zero,complement(converse(complement(converse(zero))))))),
inference(superposition,[],[f454,f5165]) ).
fof(f5165,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[],[f56,f5163]) ).
fof(f56,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f32,f8]) ).
fof(f2620,plain,
! [X0] : converse(zero) = join(converse(zero),composition(converse(complement(composition(X0,top))),X0)),
inference(forward_demodulation,[],[f2619,f8]) ).
fof(f2619,plain,
! [X0] : converse(zero) = join(converse(zero),composition(converse(complement(composition(X0,top))),converse(converse(X0)))),
inference(forward_demodulation,[],[f2602,f10]) ).
fof(f2602,plain,
! [X0] : converse(zero) = join(converse(zero),converse(composition(converse(X0),complement(composition(X0,top))))),
inference(superposition,[],[f9,f293]) ).
fof(f5177,plain,
! [X0,X1] : composition(top,X1) = join(composition(converse(X0),X1),composition(converse(complement(X0)),X1)),
inference(backward_demodulation,[],[f164,f5163]) ).
fof(f164,plain,
! [X0,X1] : join(composition(converse(X0),X1),composition(converse(complement(X0)),X1)) = composition(converse(top),X1),
inference(superposition,[],[f7,f32]) ).
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(f185,plain,
! [X0] : join(X0,composition(sF0,X0)) = X0,
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
! [X0] : join(composition(sF0,X0),X0) = X0,
inference(forward_demodulation,[],[f170,f86]) ).
fof(f86,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(superposition,[],[f79,f8]) ).
fof(f79,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(f170,plain,
! [X0] : composition(converse(one),X0) = join(composition(sF0,X0),composition(converse(one),X0)),
inference(superposition,[],[f7,f40]) ).
fof(f40,plain,
converse(one) = join(sF0,converse(one)),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f39,plain,
converse(one) = join(converse(one),sF0),
inference(forward_demodulation,[],[f35,f16]) ).
fof(f35,plain,
converse(one) = join(converse(one),converse(sk1)),
inference(superposition,[],[f9,f28]) ).
fof(f28,plain,
one = join(one,sk1),
inference(superposition,[],[f1,f20]) ).
fof(f74736,plain,
composition(sF0,top) = join(composition(sk1,top),composition(sF0,top)),
inference(forward_demodulation,[],[f74735,f36147]) ).
fof(f36147,plain,
! [X0,X1] : join(composition(X0,top),X1) = join(X0,join(composition(X0,top),X1)),
inference(superposition,[],[f2,f36031]) ).
fof(f36031,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(forward_demodulation,[],[f36030,f6310]) ).
fof(f36030,plain,
! [X0] : complement(complement(composition(X0,top))) = join(X0,composition(X0,top)),
inference(forward_demodulation,[],[f36029,f28495]) ).
fof(f28495,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f28494,f6310]) ).
fof(f28494,plain,
! [X0,X1] : join(X0,complement(join(complement(X1),X0))) = complement(complement(join(X0,X1))),
inference(forward_demodulation,[],[f28493,f6310]) ).
fof(f28493,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f28492,f17963]) ).
fof(f17963,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f2,f15090]) ).
fof(f15090,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f6310,f6388]) ).
fof(f28492,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(X1),join(complement(join(X0,X1)),X0)))),
inference(forward_demodulation,[],[f28491,f104]) ).
fof(f28491,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f28191,f6310]) ).
fof(f28191,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1))))))),
inference(superposition,[],[f6446,f6446]) ).
fof(f6446,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f24,f6310]) ).
fof(f36029,plain,
! [X0] : complement(complement(composition(X0,top))) = join(X0,complement(join(complement(composition(X0,top)),X0))),
inference(forward_demodulation,[],[f35941,f1]) ).
fof(f35941,plain,
! [X0] : complement(complement(composition(X0,top))) = join(complement(join(complement(composition(X0,top)),X0)),X0),
inference(superposition,[],[f6456,f28517]) ).
fof(f28517,plain,
! [X0] : complement(join(complement(X0),complement(composition(X0,top)))) = X0,
inference(forward_demodulation,[],[f28516,f6310]) ).
fof(f28516,plain,
! [X0] : complement(complement(X0)) = complement(join(complement(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f28515,f6389]) ).
fof(f28515,plain,
! [X0] : complement(complement(X0)) = join(zero,complement(join(complement(X0),complement(composition(X0,top))))),
inference(forward_demodulation,[],[f28206,f22]) ).
fof(f28206,plain,
! [X0] : complement(complement(X0)) = join(complement(top),complement(join(complement(X0),complement(composition(X0,top))))),
inference(superposition,[],[f6446,f20782]) ).
fof(f20782,plain,
! [X0] : top = join(complement(X0),composition(X0,top)),
inference(superposition,[],[f20747,f6310]) ).
fof(f20747,plain,
! [X0] : top = join(X0,composition(complement(X0),top)),
inference(forward_demodulation,[],[f20746,f1]) ).
fof(f20746,plain,
! [X0] : top = join(composition(complement(X0),top),X0),
inference(forward_demodulation,[],[f20745,f8]) ).
fof(f20745,plain,
! [X0] : top = join(composition(complement(X0),top),converse(converse(X0))),
inference(forward_demodulation,[],[f20744,f1]) ).
fof(f20744,plain,
! [X0] : top = join(converse(converse(X0)),composition(complement(X0),top)),
inference(forward_demodulation,[],[f20743,f8]) ).
fof(f20743,plain,
! [X0] : top = join(converse(converse(X0)),composition(converse(converse(complement(X0))),top)),
inference(forward_demodulation,[],[f20742,f5163]) ).
fof(f20742,plain,
! [X0] : converse(top) = join(converse(converse(X0)),composition(converse(converse(complement(X0))),converse(top))),
inference(forward_demodulation,[],[f20705,f10]) ).
fof(f20705,plain,
! [X0] : converse(top) = join(converse(converse(X0)),converse(composition(top,converse(complement(X0))))),
inference(superposition,[],[f9,f10817]) ).
fof(f10817,plain,
! [X0] : top = join(converse(X0),composition(top,converse(complement(X0)))),
inference(superposition,[],[f5271,f5026]) ).
fof(f5026,plain,
! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
inference(backward_demodulation,[],[f2938,f5025]) ).
fof(f5025,plain,
! [X0] : composition(top,X0) = join(X0,composition(complement(sF0),X0)),
inference(forward_demodulation,[],[f5024,f1]) ).
fof(f5024,plain,
! [X0] : composition(top,X0) = join(composition(complement(sF0),X0),X0),
inference(forward_demodulation,[],[f5014,f86]) ).
fof(f5014,plain,
! [X0] : composition(top,X0) = join(composition(complement(sF0),X0),composition(converse(one),X0)),
inference(superposition,[],[f7,f4589]) ).
fof(f4589,plain,
top = join(complement(sF0),converse(one)),
inference(backward_demodulation,[],[f1457,f4489]) ).
fof(f1457,plain,
join(top,converse(one)) = join(complement(sF0),converse(one)),
inference(forward_demodulation,[],[f1456,f1]) ).
fof(f1456,plain,
join(top,converse(one)) = join(converse(one),complement(sF0)),
inference(forward_demodulation,[],[f1455,f8]) ).
fof(f1455,plain,
join(converse(one),converse(converse(complement(sF0)))) = join(top,converse(one)),
inference(forward_demodulation,[],[f1454,f1]) ).
fof(f1454,plain,
join(converse(one),converse(converse(complement(sF0)))) = join(converse(one),top),
inference(forward_demodulation,[],[f1453,f8]) ).
fof(f1453,plain,
join(converse(one),converse(converse(complement(sF0)))) = join(converse(one),converse(converse(top))),
inference(forward_demodulation,[],[f1448,f9]) ).
fof(f1448,plain,
join(converse(one),converse(converse(complement(sF0)))) = converse(join(one,converse(top))),
inference(superposition,[],[f9,f145]) ).
fof(f145,plain,
join(one,converse(complement(sF0))) = join(one,converse(top)),
inference(superposition,[],[f95,f58]) ).
fof(f95,plain,
! [X0] : join(one,join(sk1,X0)) = join(one,X0),
inference(superposition,[],[f2,f28]) ).
fof(f2938,plain,
! [X0] : join(X0,composition(top,X0)) = join(X0,composition(complement(sF0),X0)),
inference(forward_demodulation,[],[f2937,f1]) ).
fof(f2937,plain,
! [X0] : join(composition(complement(sF0),X0),X0) = join(X0,composition(top,X0)),
inference(forward_demodulation,[],[f2936,f1]) ).
fof(f2936,plain,
! [X0] : join(composition(complement(sF0),X0),X0) = join(composition(top,X0),X0),
inference(forward_demodulation,[],[f2935,f86]) ).
fof(f2935,plain,
! [X0] : join(composition(complement(sF0),X0),composition(converse(one),X0)) = join(composition(top,X0),composition(converse(one),X0)),
inference(forward_demodulation,[],[f2927,f7]) ).
fof(f2927,plain,
! [X0] : join(composition(complement(sF0),X0),composition(converse(one),X0)) = composition(join(top,converse(one)),X0),
inference(superposition,[],[f7,f1457]) ).
fof(f5271,plain,
! [X0,X1] : top = join(converse(X0),join(converse(complement(X0)),X1)),
inference(forward_demodulation,[],[f5171,f4489]) ).
fof(f5171,plain,
! [X0,X1] : join(top,X1) = join(converse(X0),join(converse(complement(X0)),X1)),
inference(backward_demodulation,[],[f97,f5163]) ).
fof(f97,plain,
! [X0,X1] : join(converse(X0),join(converse(complement(X0)),X1)) = join(converse(top),X1),
inference(superposition,[],[f2,f32]) ).
fof(f6456,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f458,f6310]) ).
fof(f458,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[],[f24,f1]) ).
fof(f74735,plain,
composition(sF0,top) = join(sk1,join(composition(sk1,top),composition(sF0,top))),
inference(forward_demodulation,[],[f74701,f36153]) ).
fof(f36153,plain,
! [X0,X1] : join(X1,composition(X0,top)) = join(X0,join(composition(X0,top),X1)),
inference(superposition,[],[f104,f36031]) ).
fof(f74701,plain,
composition(sF0,top) = join(composition(sF0,top),composition(sk1,top)),
inference(superposition,[],[f226,f74533]) ).
fof(f74533,plain,
composition(sk1,top) = composition(sk1,composition(sF0,top)),
inference(superposition,[],[f34215,f25]) ).
fof(f226,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f225,f1]) ).
fof(f225,plain,
! [X0] : join(composition(sk1,X0),X0) = X0,
inference(forward_demodulation,[],[f222,f86]) ).
fof(f222,plain,
! [X0] : composition(converse(one),X0) = join(composition(sk1,X0),composition(converse(one),X0)),
inference(superposition,[],[f7,f212]) ).
fof(f212,plain,
converse(one) = join(sk1,converse(one)),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f211,plain,
converse(one) = join(converse(one),sk1),
inference(forward_demodulation,[],[f210,f25]) ).
fof(f210,plain,
converse(one) = join(converse(one),converse(sF0)),
inference(superposition,[],[f9,f195]) ).
fof(f195,plain,
one = join(one,sF0),
inference(superposition,[],[f185,f6]) ).
fof(f13897,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(top,X0))),
inference(backward_demodulation,[],[f5365,f13895]) ).
fof(f13895,plain,
! [X0] : complement(composition(top,X0)) = composition(top,complement(composition(top,X0))),
inference(forward_demodulation,[],[f13894,f5026]) ).
fof(f13894,plain,
! [X0] : complement(composition(top,X0)) = join(complement(composition(top,X0)),composition(top,complement(composition(top,X0)))),
inference(forward_demodulation,[],[f13877,f5163]) ).
fof(f13877,plain,
! [X0] : complement(composition(top,X0)) = join(complement(composition(top,X0)),composition(converse(top),complement(composition(top,X0)))),
inference(superposition,[],[f23,f8367]) ).
fof(f8367,plain,
! [X0] : composition(top,X0) = composition(top,composition(top,X0)),
inference(superposition,[],[f5,f8272]) ).
fof(f8272,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f8262,f4489]) ).
fof(f8262,plain,
composition(top,top) = join(top,composition(complement(one),top)),
inference(superposition,[],[f157,f8105]) ).
fof(f8105,plain,
top = composition(one,top),
inference(forward_demodulation,[],[f8104,f8]) ).
fof(f8104,plain,
top = composition(converse(converse(one)),top),
inference(forward_demodulation,[],[f8098,f5163]) ).
fof(f8098,plain,
converse(top) = composition(converse(converse(one)),converse(top)),
inference(superposition,[],[f10,f8079]) ).
fof(f8079,plain,
top = composition(top,converse(one)),
inference(forward_demodulation,[],[f8078,f5163]) ).
fof(f8078,plain,
top = composition(converse(top),converse(one)),
inference(forward_demodulation,[],[f8077,f10]) ).
fof(f8077,plain,
top = converse(composition(one,top)),
inference(forward_demodulation,[],[f8059,f6405]) ).
fof(f8059,plain,
top = join(converse(composition(one,top)),zero),
inference(superposition,[],[f5164,f8017]) ).
fof(f8017,plain,
zero = converse(complement(composition(one,top))),
inference(superposition,[],[f6400,f6]) ).
fof(f5164,plain,
! [X0] : top = join(converse(X0),converse(complement(X0))),
inference(backward_demodulation,[],[f32,f5163]) ).
fof(f157,plain,
! [X0,X1] : join(composition(X0,X1),composition(complement(X0),X1)) = composition(top,X1),
inference(superposition,[],[f7,f12]) ).
fof(f5365,plain,
! [X0] : complement(X0) = join(complement(X0),composition(top,complement(composition(top,X0)))),
inference(superposition,[],[f296,f5163]) ).
fof(f296,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f23,f8]) ).
fof(f73598,plain,
top = join(sk1,join(complement(sF0),complement(composition(top,sk1)))),
inference(forward_demodulation,[],[f73590,f1556]) ).
fof(f1556,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f92,f2]) ).
fof(f73590,plain,
top = join(complement(sF0),join(sk1,complement(composition(top,sk1)))),
inference(backward_demodulation,[],[f68643,f73585]) ).
fof(f73585,plain,
complement(composition(complement(one),sk1)) = join(sk1,complement(composition(top,sk1))),
inference(forward_demodulation,[],[f73584,f43339]) ).
fof(f43339,plain,
! [X0] : join(X0,complement(composition(complement(one),X0))) = join(X0,complement(composition(top,X0))),
inference(superposition,[],[f29450,f12232]) ).
fof(f12232,plain,
! [X0] : composition(top,X0) = join(X0,composition(complement(one),X0)),
inference(forward_demodulation,[],[f12231,f1]) ).
fof(f12231,plain,
! [X0] : composition(top,X0) = join(composition(complement(one),X0),X0),
inference(forward_demodulation,[],[f12218,f86]) ).
fof(f12218,plain,
! [X0] : composition(top,X0) = join(composition(complement(one),X0),composition(converse(one),X0)),
inference(superposition,[],[f7,f12206]) ).
fof(f12206,plain,
top = join(complement(one),converse(one)),
inference(forward_demodulation,[],[f12205,f3169]) ).
fof(f3169,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(composition(sF0,complement(composition(sk1,X0))),X1)),
inference(superposition,[],[f2,f297]) ).
fof(f297,plain,
! [X0] : complement(X0) = join(complement(X0),composition(sF0,complement(composition(sk1,X0)))),
inference(superposition,[],[f23,f16]) ).
fof(f12205,plain,
top = join(complement(one),join(composition(sF0,complement(composition(sk1,one))),converse(one))),
inference(forward_demodulation,[],[f12186,f3175]) ).
fof(f3175,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(composition(sF0,complement(composition(sk1,X0))),X1)),
inference(superposition,[],[f104,f297]) ).
fof(f12186,plain,
top = join(converse(one),complement(one)),
inference(superposition,[],[f5164,f12156]) ).
fof(f12156,plain,
complement(one) = converse(complement(one)),
inference(forward_demodulation,[],[f12155,f12108]) ).
fof(f12108,plain,
complement(one) = join(complement(one),converse(complement(one))),
inference(superposition,[],[f6451,f6]) ).
fof(f6451,plain,
! [X0] : complement(one) = join(complement(one),composition(converse(complement(X0)),X0)),
inference(superposition,[],[f299,f6310]) ).
fof(f299,plain,
! [X0] : complement(one) = join(complement(one),composition(converse(X0),complement(X0))),
inference(superposition,[],[f23,f6]) ).
fof(f12155,plain,
converse(complement(one)) = join(complement(one),converse(complement(one))),
inference(forward_demodulation,[],[f12154,f3169]) ).
fof(f12154,plain,
converse(complement(one)) = join(complement(one),join(composition(sF0,complement(composition(sk1,one))),converse(complement(one)))),
inference(forward_demodulation,[],[f12153,f3175]) ).
fof(f12153,plain,
converse(complement(one)) = join(converse(complement(one)),complement(one)),
inference(forward_demodulation,[],[f12144,f8]) ).
fof(f12144,plain,
converse(complement(one)) = join(converse(complement(one)),converse(converse(complement(one)))),
inference(superposition,[],[f9,f12108]) ).
fof(f73584,plain,
complement(composition(complement(one),sk1)) = join(sk1,complement(composition(complement(one),sk1))),
inference(forward_demodulation,[],[f73583,f29450]) ).
fof(f73583,plain,
complement(composition(complement(one),sk1)) = join(sk1,complement(join(sk1,composition(complement(one),sk1)))),
inference(forward_demodulation,[],[f73582,f29450]) ).
fof(f73582,plain,
complement(composition(complement(one),sk1)) = join(sk1,complement(join(sk1,join(sk1,composition(complement(one),sk1))))),
inference(forward_demodulation,[],[f73581,f6310]) ).
fof(f73581,plain,
complement(composition(complement(one),sk1)) = join(complement(complement(sk1)),complement(join(sk1,join(complement(complement(sk1)),composition(complement(one),sk1))))),
inference(forward_demodulation,[],[f73553,f61744]) ).
fof(f61744,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,join(X0,X1)))) = join(complement(join(X1,X2)),X0),
inference(superposition,[],[f32050,f104]) ).
fof(f32050,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f32049,f6310]) ).
fof(f32049,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f32048,f6310]) ).
fof(f32048,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f32047,f16464]) ).
fof(f16464,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f11674,f6310]) ).
fof(f11674,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(backward_demodulation,[],[f11673,f11543]) ).
fof(f11543,plain,
! [X0,X1] : complement(X0) = complement(join(X0,complement(join(complement(X0),X1)))),
inference(superposition,[],[f6411,f6310]) ).
fof(f6411,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f6301,f6310]) ).
fof(f6301,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(complement(complement(X0)),X1)))) = X0,
inference(backward_demodulation,[],[f4644,f6262]) ).
fof(f4644,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(forward_demodulation,[],[f4521,f22]) ).
fof(f4521,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(backward_demodulation,[],[f1022,f4489]) ).
fof(f1022,plain,
! [X0,X1] : join(complement(join(top,X1)),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(superposition,[],[f24,f91]) ).
fof(f11673,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X0,X1))) = complement(join(X0,complement(join(complement(X0),join(complement(join(X0,X1)),X2))))),
inference(forward_demodulation,[],[f11542,f2]) ).
fof(f11542,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X0,X1))) = complement(join(X0,complement(join(join(complement(X0),complement(join(X0,X1))),X2)))),
inference(superposition,[],[f6411,f6411]) ).
fof(f32047,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f32046,f2]) ).
fof(f32046,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f32045,f29303]) ).
fof(f29303,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f29302,f16506]) ).
fof(f16506,plain,
! [X2,X0,X1] : complement(join(X0,X1)) = join(complement(join(X0,X1)),complement(join(X1,join(X0,X2)))),
inference(superposition,[],[f11674,f92]) ).
fof(f29302,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X1,X0)),complement(join(X0,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f29015,f2]) ).
fof(f29015,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X1,X0)),complement(join(join(X0,X1),complement(X0)))),
inference(superposition,[],[f6454,f6698]) ).
fof(f6698,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f104,f6682]) ).
fof(f6682,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f6670,f6310]) ).
fof(f6670,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f6310,f6367]) ).
fof(f6367,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(forward_demodulation,[],[f6366,f6310]) ).
fof(f6366,plain,
! [X0] : complement(X0) = complement(join(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f6365,f6348]) ).
fof(f6365,plain,
! [X0] : complement(X0) = complement(join(zero,join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f6364,f2]) ).
fof(f6364,plain,
! [X0] : complement(X0) = complement(join(join(zero,X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f6363,f1]) ).
fof(f6363,plain,
! [X0] : complement(X0) = complement(join(complement(complement(X0)),join(zero,X0))),
inference(forward_demodulation,[],[f6362,f6310]) ).
fof(f6362,plain,
! [X0] : complement(X0) = complement(join(complement(complement(X0)),complement(complement(join(zero,X0))))),
inference(forward_demodulation,[],[f6289,f6262]) ).
fof(f6289,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),complement(complement(join(zero,X0)))))),
inference(backward_demodulation,[],[f5086,f6262]) ).
fof(f5086,plain,
! [X0] : join(zero,complement(X0)) = join(zero,complement(join(complement(join(zero,complement(X0))),complement(complement(join(zero,X0)))))),
inference(forward_demodulation,[],[f5053,f22]) ).
fof(f5053,plain,
! [X0] : join(zero,complement(X0)) = join(complement(top),complement(join(complement(join(zero,complement(X0))),complement(complement(join(zero,X0)))))),
inference(superposition,[],[f448,f454]) ).
fof(f448,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f24,f1]) ).
fof(f6454,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f448,f6310]) ).
fof(f32045,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f31465,f1]) ).
fof(f31465,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f6456,f6456]) ).
fof(f73553,plain,
complement(composition(complement(one),sk1)) = join(complement(join(composition(complement(one),sk1),sk1)),complement(complement(sk1))),
inference(superposition,[],[f6456,f71391]) ).
fof(f71391,plain,
complement(sk1) = join(complement(sk1),composition(complement(one),sk1)),
inference(forward_demodulation,[],[f71390,f30001]) ).
fof(f30001,plain,
one = converse(one),
inference(backward_demodulation,[],[f28919,f30000]) ).
fof(f30000,plain,
one = join(one,converse(one)),
inference(forward_demodulation,[],[f29999,f95]) ).
fof(f29999,plain,
one = join(one,join(sk1,converse(one))),
inference(forward_demodulation,[],[f29998,f131]) ).
fof(f131,plain,
! [X0] : join(one,join(sk1,X0)) = join(X0,one),
inference(forward_demodulation,[],[f127,f104]) ).
fof(f127,plain,
! [X0] : join(X0,one) = join(sk1,join(X0,one)),
inference(superposition,[],[f99,f1]) ).
fof(f29998,plain,
one = join(converse(one),one),
inference(forward_demodulation,[],[f29977,f8]) ).
fof(f29977,plain,
converse(converse(one)) = join(converse(one),converse(converse(one))),
inference(superposition,[],[f9,f28919]) ).
fof(f28919,plain,
converse(one) = join(one,converse(one)),
inference(forward_demodulation,[],[f28918,f95]) ).
fof(f28918,plain,
converse(one) = join(one,join(sk1,converse(one))),
inference(forward_demodulation,[],[f28861,f131]) ).
fof(f28861,plain,
converse(one) = join(converse(one),one),
inference(superposition,[],[f16902,f28530]) ).
fof(f28530,plain,
one = complement(join(complement(one),complement(converse(one)))),
inference(forward_demodulation,[],[f28529,f6310]) ).
fof(f28529,plain,
complement(complement(one)) = complement(join(complement(one),complement(converse(one)))),
inference(forward_demodulation,[],[f28528,f6389]) ).
fof(f28528,plain,
complement(complement(one)) = join(zero,complement(join(complement(one),complement(converse(one))))),
inference(forward_demodulation,[],[f28209,f22]) ).
fof(f28209,plain,
complement(complement(one)) = join(complement(top),complement(join(complement(one),complement(converse(one))))),
inference(superposition,[],[f6446,f12206]) ).
fof(f16902,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f16793,f6692]) ).
fof(f6692,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f6682]) ).
fof(f16793,plain,
! [X0,X1] : join(X0,complement(join(X1,join(X1,complement(X0))))) = X0,
inference(superposition,[],[f16464,f6698]) ).
fof(f71390,plain,
complement(sk1) = join(complement(sk1),composition(complement(converse(one)),sk1)),
inference(forward_demodulation,[],[f71389,f40858]) ).
fof(f40858,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(superposition,[],[f40566,f8]) ).
fof(f40566,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f40396,f6310]) ).
fof(f40396,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(superposition,[],[f40335,f8]) ).
fof(f40335,plain,
! [X0] : converse(X0) = converse(complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f40243,f40106]) ).
fof(f40106,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f40105,f6310]) ).
fof(f40105,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f40104,f29450]) ).
fof(f40104,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f40103,f6310]) ).
fof(f40103,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f40102,f29303]) ).
fof(f40102,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f40101,f3169]) ).
fof(f40101,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),join(composition(sF0,complement(composition(sk1,complement(X0)))),complement(join(complement(converse(complement(converse(complement(X0))))),X0)))),
inference(forward_demodulation,[],[f39998,f3175]) ).
fof(f39998,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f6456,f28452]) ).
fof(f28452,plain,
! [X0] : complement(X0) = complement(join(X0,complement(converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f28451,f6389]) ).
fof(f28451,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f28171,f22]) ).
fof(f28171,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(converse(complement(converse(X0))))))),
inference(superposition,[],[f6446,f5165]) ).
fof(f40243,plain,
! [X0] : converse(X0) = join(converse(X0),converse(complement(converse(complement(converse(X0)))))),
inference(superposition,[],[f9,f40140]) ).
fof(f40140,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f40025,f6310]) ).
fof(f40025,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f6310,f28452]) ).
fof(f71389,plain,
complement(sk1) = join(complement(sk1),composition(converse(complement(one)),sk1)),
inference(forward_demodulation,[],[f71388,f25]) ).
fof(f71388,plain,
complement(converse(sF0)) = join(complement(converse(sF0)),composition(converse(complement(one)),converse(sF0))),
inference(forward_demodulation,[],[f71387,f3169]) ).
fof(f71387,plain,
complement(converse(sF0)) = join(complement(converse(sF0)),join(composition(sF0,complement(composition(sk1,converse(sF0)))),composition(converse(complement(one)),converse(sF0)))),
inference(forward_demodulation,[],[f71386,f3175]) ).
fof(f71386,plain,
complement(converse(sF0)) = join(composition(converse(complement(one)),converse(sF0)),complement(converse(sF0))),
inference(forward_demodulation,[],[f71385,f40858]) ).
fof(f71385,plain,
converse(complement(sF0)) = join(composition(converse(complement(one)),converse(sF0)),converse(complement(sF0))),
inference(forward_demodulation,[],[f71384,f1]) ).
fof(f71384,plain,
converse(complement(sF0)) = join(converse(complement(sF0)),composition(converse(complement(one)),converse(sF0))),
inference(forward_demodulation,[],[f71355,f10]) ).
fof(f71355,plain,
converse(complement(sF0)) = join(converse(complement(sF0)),converse(composition(sF0,complement(one)))),
inference(superposition,[],[f9,f68147]) ).
fof(f68147,plain,
complement(sF0) = join(complement(sF0),composition(sF0,complement(one))),
inference(forward_demodulation,[],[f68146,f37804]) ).
fof(f37804,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(composition(X0,top)),X1)),
inference(superposition,[],[f2,f36014]) ).
fof(f36014,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(X0,top))),
inference(forward_demodulation,[],[f36013,f28431]) ).
fof(f28431,plain,
! [X0,X1] : complement(X0) = complement(join(X0,complement(join(composition(complement(X0),top),X1)))),
inference(forward_demodulation,[],[f28430,f6389]) ).
fof(f28430,plain,
! [X0,X1] : complement(X0) = join(zero,complement(join(X0,complement(join(composition(complement(X0),top),X1))))),
inference(forward_demodulation,[],[f28143,f22]) ).
fof(f28143,plain,
! [X0,X1] : complement(X0) = join(complement(top),complement(join(X0,complement(join(composition(complement(X0),top),X1))))),
inference(superposition,[],[f6446,f20840]) ).
fof(f20840,plain,
! [X0,X1] : top = join(X0,join(composition(complement(X0),top),X1)),
inference(forward_demodulation,[],[f20788,f4489]) ).
fof(f20788,plain,
! [X0,X1] : join(top,X1) = join(X0,join(composition(complement(X0),top),X1)),
inference(superposition,[],[f2,f20747]) ).
fof(f36013,plain,
! [X0] : join(complement(X0),complement(composition(X0,top))) = complement(join(X0,complement(join(composition(complement(X0),top),composition(complement(composition(X0,top)),top))))),
inference(forward_demodulation,[],[f35929,f7]) ).
fof(f35929,plain,
! [X0] : join(complement(X0),complement(composition(X0,top))) = complement(join(X0,complement(composition(join(complement(X0),complement(composition(X0,top))),top)))),
inference(superposition,[],[f28517,f28517]) ).
fof(f68146,plain,
complement(sF0) = join(complement(sF0),join(complement(composition(sF0,top)),composition(sF0,complement(one)))),
inference(forward_demodulation,[],[f67876,f37809]) ).
fof(f37809,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(complement(composition(X0,top)),X1)),
inference(superposition,[],[f104,f36014]) ).
fof(f67876,plain,
complement(sF0) = join(composition(sF0,complement(one)),complement(sF0)),
inference(superposition,[],[f1496,f7520]) ).
fof(f7520,plain,
complement(sF0) = join(complement(one),complement(sF0)),
inference(superposition,[],[f6310,f6305]) ).
fof(f6305,plain,
sF0 = complement(join(complement(one),complement(sF0))),
inference(backward_demodulation,[],[f5090,f6262]) ).
fof(f5090,plain,
sF0 = join(zero,complement(join(complement(one),complement(sF0)))),
inference(forward_demodulation,[],[f5089,f22]) ).
fof(f5089,plain,
sF0 = join(complement(top),complement(join(complement(one),complement(sF0)))),
inference(forward_demodulation,[],[f5055,f1]) ).
fof(f5055,plain,
sF0 = join(complement(top),complement(join(complement(sF0),complement(one)))),
inference(superposition,[],[f448,f4618]) ).
fof(f4618,plain,
top = join(one,complement(sF0)),
inference(backward_demodulation,[],[f383,f4598]) ).
fof(f4598,plain,
! [X1] : top = join(X1,top),
inference(backward_demodulation,[],[f1892,f4512]) ).
fof(f4512,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f91,f4489]) ).
fof(f1892,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X1,top),
inference(forward_demodulation,[],[f1679,f104]) ).
fof(f1679,plain,
! [X0,X1] : join(X1,top) = join(complement(X0),join(X1,X0)),
inference(superposition,[],[f104,f12]) ).
fof(f383,plain,
join(one,top) = join(one,complement(sF0)),
inference(superposition,[],[f209,f12]) ).
fof(f209,plain,
! [X0] : join(one,X0) = join(one,join(sF0,X0)),
inference(superposition,[],[f2,f195]) ).
fof(f1496,plain,
! [X0,X1] : join(X0,X1) = join(composition(sF0,X0),join(X0,X1)),
inference(superposition,[],[f92,f185]) ).
fof(f68643,plain,
top = join(complement(sF0),complement(composition(complement(one),sk1))),
inference(forward_demodulation,[],[f68590,f12]) ).
fof(f68590,plain,
join(complement(sF0),complement(complement(sF0))) = join(complement(sF0),complement(composition(complement(one),sk1))),
inference(superposition,[],[f29450,f68527]) ).
fof(f68527,plain,
complement(sF0) = join(complement(sF0),composition(complement(one),sk1)),
inference(forward_demodulation,[],[f68526,f30001]) ).
fof(f68526,plain,
complement(sF0) = join(complement(sF0),composition(complement(converse(one)),sk1)),
inference(forward_demodulation,[],[f68525,f3169]) ).
fof(f68525,plain,
complement(sF0) = join(complement(sF0),join(composition(sF0,complement(composition(sk1,sF0))),composition(complement(converse(one)),sk1))),
inference(forward_demodulation,[],[f68524,f3175]) ).
fof(f68524,plain,
complement(sF0) = join(composition(complement(converse(one)),sk1),complement(sF0)),
inference(forward_demodulation,[],[f68523,f16]) ).
fof(f68523,plain,
complement(converse(sk1)) = join(composition(complement(converse(one)),sk1),complement(converse(sk1))),
inference(forward_demodulation,[],[f68522,f1]) ).
fof(f68522,plain,
complement(converse(sk1)) = join(complement(converse(sk1)),composition(complement(converse(one)),sk1)),
inference(forward_demodulation,[],[f68521,f40858]) ).
fof(f68521,plain,
complement(converse(sk1)) = join(complement(converse(sk1)),composition(converse(complement(one)),sk1)),
inference(forward_demodulation,[],[f68520,f25]) ).
fof(f68520,plain,
complement(converse(sk1)) = join(complement(converse(sk1)),composition(converse(complement(one)),converse(sF0))),
inference(forward_demodulation,[],[f68519,f3169]) ).
fof(f68519,plain,
complement(converse(sk1)) = join(complement(converse(sk1)),join(composition(sF0,complement(composition(sk1,converse(sk1)))),composition(converse(complement(one)),converse(sF0)))),
inference(forward_demodulation,[],[f68518,f3175]) ).
fof(f68518,plain,
complement(converse(sk1)) = join(composition(converse(complement(one)),converse(sF0)),complement(converse(sk1))),
inference(forward_demodulation,[],[f68517,f40858]) ).
fof(f68517,plain,
converse(complement(sk1)) = join(composition(converse(complement(one)),converse(sF0)),converse(complement(sk1))),
inference(forward_demodulation,[],[f68516,f1]) ).
fof(f68516,plain,
converse(complement(sk1)) = join(converse(complement(sk1)),composition(converse(complement(one)),converse(sF0))),
inference(forward_demodulation,[],[f68487,f10]) ).
fof(f68487,plain,
converse(complement(sk1)) = join(converse(complement(sk1)),converse(composition(sF0,complement(one)))),
inference(superposition,[],[f9,f68145]) ).
fof(f68145,plain,
complement(sk1) = join(complement(sk1),composition(sF0,complement(one))),
inference(forward_demodulation,[],[f68144,f37804]) ).
fof(f68144,plain,
complement(sk1) = join(complement(sk1),join(complement(composition(sk1,top)),composition(sF0,complement(one)))),
inference(forward_demodulation,[],[f67875,f37809]) ).
fof(f67875,plain,
complement(sk1) = join(composition(sF0,complement(one)),complement(sk1)),
inference(superposition,[],[f1496,f7176]) ).
fof(f7176,plain,
complement(sk1) = join(complement(one),complement(sk1)),
inference(superposition,[],[f6310,f6304]) ).
fof(f6304,plain,
sk1 = complement(join(complement(one),complement(sk1))),
inference(backward_demodulation,[],[f5088,f6262]) ).
fof(f5088,plain,
sk1 = join(zero,complement(join(complement(one),complement(sk1)))),
inference(forward_demodulation,[],[f5087,f22]) ).
fof(f5087,plain,
sk1 = join(complement(top),complement(join(complement(one),complement(sk1)))),
inference(forward_demodulation,[],[f5054,f1]) ).
fof(f5054,plain,
sk1 = join(complement(top),complement(join(complement(sk1),complement(one)))),
inference(superposition,[],[f448,f4619]) ).
fof(f4619,plain,
top = join(one,complement(sk1)),
inference(backward_demodulation,[],[f146,f4598]) ).
fof(f146,plain,
join(one,top) = join(one,complement(sk1)),
inference(superposition,[],[f95,f12]) ).
fof(f29450,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f29449,f6310]) ).
fof(f29449,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f29448,f6310]) ).
fof(f29448,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f29447,f16902]) ).
fof(f29447,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f29446,f2]) ).
fof(f29446,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f29445,f29303]) ).
fof(f29445,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f29079,f6310]) ).
fof(f29079,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f6454,f6446]) ).
fof(f75821,plain,
sF0 = join(sk1,sF0),
inference(forward_demodulation,[],[f75820,f16]) ).
fof(f75820,plain,
converse(sk1) = join(sk1,converse(sk1)),
inference(forward_demodulation,[],[f75819,f1]) ).
fof(f75819,plain,
converse(sk1) = join(converse(sk1),sk1),
inference(forward_demodulation,[],[f75797,f25]) ).
fof(f75797,plain,
converse(sk1) = join(converse(sk1),converse(sF0)),
inference(superposition,[],[f9,f75779]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL025-1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 05:01:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (21302)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)
% 0.12/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (21296)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)
% 0.12/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (21298)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)
% 0.12/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (21299)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (3000ds/143Mi)
% 0.12/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (21300)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)
% 0.12/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (21297)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)
% 0.20/0.41 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (21301)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)
% 0.20/0.46 % (21302)Instruction limit reached!
% 0.20/0.46 % (21302)------------------------------
% 0.20/0.46 % (21302)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.46 % (21302)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.46 % (21302)Termination reason: Time limit
% 0.20/0.46 % (21302)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (21302)Memory used [KB]: 2214
% 0.20/0.46 % (21302)Time elapsed: 0.061 s
% 0.20/0.46 % (21302)Instructions burned: 217 (million)
% 0.20/0.47 % (21299)Instruction limit reached!
% 0.20/0.47 % (21299)------------------------------
% 0.20/0.47 % (21299)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (21299)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (21299)Termination reason: Time limit
% 0.20/0.47 % (21299)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (21299)Memory used [KB]: 1649
% 0.20/0.47 % (21299)Time elapsed: 0.064 s
% 0.20/0.47 % (21299)Instructions burned: 144 (million)
% 0.20/0.48 % (21300)Instruction limit reached!
% 0.20/0.48 % (21300)------------------------------
% 0.20/0.48 % (21300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (21300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (21300)Termination reason: Time limit
% 0.20/0.48 % (21300)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (21300)Memory used [KB]: 1870
% 0.20/0.48 % (21300)Time elapsed: 0.069 s
% 0.20/0.48 % (21300)Instructions burned: 131 (million)
% 0.20/0.48 % (21298)Instruction limit reached!
% 0.20/0.48 % (21298)------------------------------
% 0.20/0.48 % (21298)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (21298)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (21298)Termination reason: Time limit
% 0.20/0.48 % (21298)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (21298)Memory used [KB]: 2690
% 0.20/0.48 % (21298)Time elapsed: 0.072 s
% 0.20/0.48 % (21298)Instructions burned: 127 (million)
% 0.20/0.50 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (21303)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)
% 0.20/0.51 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (21304)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)
% 0.20/0.51 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (21305)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)
% 0.20/0.52 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (21306)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)
% 0.20/0.56 % (21303)Instruction limit reached!
% 0.20/0.56 % (21303)------------------------------
% 0.20/0.56 % (21303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (21303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (21303)Termination reason: Time limit
% 0.20/0.56 % (21303)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (21303)Memory used [KB]: 2868
% 0.20/0.56 % (21303)Time elapsed: 0.069 s
% 0.20/0.56 % (21303)Instructions burned: 204 (million)
% 0.20/0.60 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.60 % (21307)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2997ds/2789Mi)
% 0.20/0.64 % (21306)Instruction limit reached!
% 0.20/0.64 % (21306)------------------------------
% 0.20/0.64 % (21306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.64 % (21306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.64 % (21306)Termination reason: Time limit
% 0.20/0.64 % (21306)Termination phase: Saturation
% 0.20/0.64
% 0.20/0.64 % (21306)Memory used [KB]: 4318
% 0.20/0.64 % (21306)Time elapsed: 0.127 s
% 0.20/0.64 % (21306)Instructions burned: 390 (million)
% 0.20/0.65 % (21305)Instruction limit reached!
% 0.20/0.65 % (21305)------------------------------
% 0.20/0.65 % (21305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.65 % (21305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.65 % (21305)Termination reason: Time limit
% 0.20/0.65 % (21305)Termination phase: Saturation
% 0.20/0.65
% 0.20/0.65 % (21305)Memory used [KB]: 3878
% 0.20/0.65 % (21305)Time elapsed: 0.136 s
% 0.20/0.65 % (21305)Instructions burned: 366 (million)
% 0.20/0.65 % (21304)Instruction limit reached!
% 0.20/0.65 % (21304)------------------------------
% 0.20/0.65 % (21304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.65 % (21304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.65 % (21304)Termination reason: Time limit
% 0.20/0.65 % (21304)Termination phase: Saturation
% 0.20/0.65
% 0.20/0.65 % (21304)Memory used [KB]: 5430
% 0.20/0.65 % (21304)Time elapsed: 0.147 s
% 0.20/0.65 % (21304)Instructions burned: 445 (million)
% 0.20/0.68 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.68 % (21308)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 (2997ds/975Mi)
% 0.20/0.68 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.68 % (21310)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 (2997ds/6970Mi)
% 0.20/0.69 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.69 % (21311)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 (2997ds/522Mi)
% 2.48/0.71 % (21301)Instruction limit reached!
% 2.48/0.71 % (21301)------------------------------
% 2.48/0.71 % (21301)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.48/0.71 % (21301)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.48/0.71 % (21301)Termination reason: Time limit
% 2.48/0.71 % (21301)Termination phase: Saturation
% 2.48/0.71
% 2.48/0.71 % (21301)Memory used [KB]: 7761
% 2.48/0.71 % (21301)Time elapsed: 0.295 s
% 2.48/0.71 % (21301)Instructions burned: 736 (million)
% 2.71/0.74 % (21295)Running in auto input_syntax mode. Trying TPTP
% 2.71/0.74 % (21312)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 (2996ds/1381Mi)
% 3.25/0.84 % (21311)Instruction limit reached!
% 3.25/0.84 % (21311)------------------------------
% 3.25/0.84 % (21311)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.25/0.84 % (21311)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.25/0.84 % (21311)Termination reason: Time limit
% 3.25/0.84 % (21311)Termination phase: Saturation
% 3.25/0.84
% 3.25/0.84 % (21311)Memory used [KB]: 4786
% 3.25/0.84 % (21311)Time elapsed: 0.151 s
% 3.25/0.84 % (21311)Instructions burned: 522 (million)
% 3.25/0.87 % (21295)Running in auto input_syntax mode. Trying TPTP
% 3.25/0.87 % (21313)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 (2995ds/589Mi)
% 4.25/1.01 % (21308)Instruction limit reached!
% 4.25/1.01 % (21308)------------------------------
% 4.25/1.01 % (21308)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.25/1.01 % (21308)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.25/1.01 % (21308)Termination reason: Time limit
% 4.25/1.01 % (21308)Termination phase: Saturation
% 4.25/1.01
% 4.25/1.01 % (21308)Memory used [KB]: 9947
% 4.25/1.01 % (21308)Time elapsed: 0.339 s
% 4.25/1.01 % (21308)Instructions burned: 975 (million)
% 4.36/1.05 % (21295)Running in auto input_syntax mode. Trying TPTP
% 4.36/1.05 % (21314)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 (2993ds/659Mi)
% 4.36/1.07 % (21313)Instruction limit reached!
% 4.36/1.07 % (21313)------------------------------
% 4.36/1.07 % (21313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.36/1.07 % (21313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.36/1.07 % (21313)Termination reason: Time limit
% 4.36/1.07 % (21313)Termination phase: Saturation
% 4.36/1.07
% 4.36/1.07 % (21313)Memory used [KB]: 6529
% 4.36/1.07 % (21313)Time elapsed: 0.222 s
% 4.36/1.07 % (21313)Instructions burned: 590 (million)
% 4.36/1.10 % (21295)Running in auto input_syntax mode. Trying TPTP
% 4.36/1.10 % (21315)lrs+10_1:1_sil=4000:sp=occurrence:i=1397:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2992ds/1397Mi)
% 5.21/1.21 % (21312)Instruction limit reached!
% 5.21/1.21 % (21312)------------------------------
% 5.21/1.21 % (21312)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.21/1.21 % (21312)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.21/1.21 % (21312)Termination reason: Time limit
% 5.21/1.21 % (21312)Termination phase: Saturation
% 5.21/1.21
% 5.21/1.21 % (21312)Memory used [KB]: 12926
% 5.21/1.21 % (21312)Time elapsed: 0.488 s
% 5.21/1.21 % (21312)Instructions burned: 1382 (million)
% 5.21/1.24 % (21295)Running in auto input_syntax mode. Trying TPTP
% 5.21/1.24 % (21316)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 (2991ds/856Mi)
% 5.21/1.25 % (21314)Instruction limit reached!
% 5.21/1.25 % (21314)------------------------------
% 5.21/1.25 % (21314)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.21/1.25 % (21314)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.21/1.25 % (21314)Termination reason: Time limit
% 5.21/1.25 % (21314)Termination phase: Saturation
% 5.21/1.25
% 5.21/1.25 % (21314)Memory used [KB]: 6778
% 5.21/1.25 % (21314)Time elapsed: 0.207 s
% 5.21/1.25 % (21314)Instructions burned: 659 (million)
% 6.58/1.29 % (21295)Running in auto input_syntax mode. Trying TPTP
% 6.58/1.29 % (21317)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 (2990ds/918Mi)
% 7.47/1.44 % (21307)Instruction limit reached!
% 7.47/1.44 % (21307)------------------------------
% 7.47/1.44 % (21307)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.47/1.44 % (21307)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.47/1.44 % (21307)Termination reason: Time limit
% 7.47/1.44 % (21307)Termination phase: Saturation
% 7.47/1.44
% 7.47/1.44 % (21307)Memory used [KB]: 16465
% 7.47/1.44 % (21307)Time elapsed: 0.848 s
% 7.47/1.44 % (21307)Instructions burned: 2792 (million)
% 7.94/1.48 % (21295)Running in auto input_syntax mode. Trying TPTP
% 7.94/1.48 % (21318)lrs+10_1:25_to=lpo:drc=encompass:sil=2000:fde=none:sp=const_min:fd=preordered:i=1093_0 on theBenchmark for (2989ds/1093Mi)
% 7.94/1.53 % (21315)Instruction limit reached!
% 7.94/1.53 % (21315)------------------------------
% 7.94/1.53 % (21315)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.94/1.53 % (21315)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.94/1.53 % (21315)Termination reason: Time limit
% 7.94/1.53 % (21315)Termination phase: Saturation
% 7.94/1.53
% 7.94/1.53 % (21315)Memory used [KB]: 8978
% 7.94/1.53 % (21315)Time elapsed: 0.434 s
% 7.94/1.53 % (21315)Instructions burned: 1399 (million)
% 7.94/1.54 % (21316)Instruction limit reached!
% 7.94/1.54 % (21316)------------------------------
% 7.94/1.54 % (21316)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.94/1.54 % (21316)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.94/1.54 % (21316)Termination reason: Time limit
% 7.94/1.54 % (21316)Termination phase: Saturation
% 7.94/1.54
% 7.94/1.54 % (21316)Memory used [KB]: 6637
% 7.94/1.54 % (21316)Time elapsed: 0.296 s
% 7.94/1.54 % (21316)Instructions burned: 858 (million)
% 7.94/1.56 % (21295)Running in auto input_syntax mode. Trying TPTP
% 7.94/1.56 % (21319)ott+10_1:2_sil=256000:tgt=ground:sp=reverse_frequency:spb=goal:i=1333:kws=precedence:irc=lazy_0 on theBenchmark for (2988ds/1333Mi)
% 8.47/1.57 % (21295)Running in auto input_syntax mode. Trying TPTP
% 8.47/1.57 % (21320)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 (2988ds/23534Mi)
% 8.47/1.57 % (21317)Instruction limit reached!
% 8.47/1.57 % (21317)------------------------------
% 8.47/1.57 % (21317)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.47/1.57 % (21317)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.47/1.57 % (21317)Termination reason: Time limit
% 8.47/1.57 % (21317)Termination phase: Saturation
% 8.47/1.57
% 8.47/1.57 % (21317)Memory used [KB]: 8012
% 8.47/1.57 % (21317)Time elapsed: 0.290 s
% 8.47/1.57 % (21317)Instructions burned: 919 (million)
% 8.55/1.61 % (21295)Running in auto input_syntax mode. Trying TPTP
% 8.55/1.61 % (21321)dis+10_1:1_sil=256000:nwc=10.0:s2agt=32:s2a=on:i=1724:fde=none:fd=off_0 on theBenchmark for (2987ds/1724Mi)
% 10.12/1.82 % (21318)Instruction limit reached!
% 10.12/1.82 % (21318)------------------------------
% 10.12/1.82 % (21318)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.12/1.82 % (21318)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.12/1.82 % (21318)Termination reason: Time limit
% 10.12/1.82 % (21318)Termination phase: Saturation
% 10.12/1.82
% 10.12/1.82 % (21318)Memory used [KB]: 6783
% 10.12/1.82 % (21318)Time elapsed: 0.345 s
% 10.12/1.82 % (21318)Instructions burned: 1094 (million)
% 10.12/1.85 % (21295)Running in auto input_syntax mode. Trying TPTP
% 10.12/1.85 % (21322)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 (2985ds/1762Mi)
% 10.96/2.00 % (21319)Instruction limit reached!
% 10.96/2.00 % (21319)------------------------------
% 10.96/2.00 % (21319)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.96/2.00 % (21319)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.96/2.00 % (21319)Termination reason: Time limit
% 10.96/2.00 % (21319)Termination phase: Saturation
% 10.96/2.00
% 10.96/2.00 % (21319)Memory used [KB]: 15137
% 10.96/2.00 % (21319)Time elapsed: 0.437 s
% 10.96/2.00 % (21319)Instructions burned: 1334 (million)
% 11.55/2.03 % (21295)Running in auto input_syntax mode. Trying TPTP
% 11.55/2.03 % (21323)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 (2983ds/3083Mi)
% 11.93/2.11 % (21321)Instruction limit reached!
% 11.93/2.11 % (21321)------------------------------
% 11.93/2.11 % (21321)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.93/2.11 % (21321)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.93/2.11 % (21321)Termination reason: Time limit
% 11.93/2.11 % (21321)Termination phase: Saturation
% 11.93/2.11
% 11.93/2.11 % (21321)Memory used [KB]: 21961
% 11.93/2.11 % (21321)Time elapsed: 0.507 s
% 11.93/2.11 % (21321)Instructions burned: 1725 (million)
% 11.93/2.15 % (21295)Running in auto input_syntax mode. Trying TPTP
% 11.93/2.15 % (21324)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 (2982ds/4105Mi)
% 12.88/2.35 % (21322)Instruction limit reached!
% 12.88/2.35 % (21322)------------------------------
% 12.88/2.35 % (21322)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.88/2.35 % (21322)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.88/2.35 % (21322)Termination reason: Time limit
% 12.88/2.35 % (21322)Termination phase: Saturation
% 12.88/2.35
% 12.88/2.35 % (21322)Memory used [KB]: 11459
% 12.88/2.35 % (21322)Time elapsed: 0.500 s
% 12.88/2.35 % (21322)Instructions burned: 1764 (million)
% 12.88/2.39 % (21295)Running in auto input_syntax mode. Trying TPTP
% 12.88/2.39 % (21325)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 (2980ds/9762Mi)
% 17.25/2.82 % (21323)Instruction limit reached!
% 17.25/2.82 % (21323)------------------------------
% 17.25/2.82 % (21323)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.25/2.82 % (21323)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.25/2.82 % (21323)Termination reason: Time limit
% 17.25/2.82 % (21323)Termination phase: Saturation
% 17.25/2.82
% 17.25/2.82 % (21323)Memory used [KB]: 11237
% 17.25/2.82 % (21323)Time elapsed: 0.788 s
% 17.25/2.82 % (21323)Instructions burned: 3084 (million)
% 17.25/2.85 % (21295)Running in auto input_syntax mode. Trying TPTP
% 17.25/2.85 % (21326)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 (2975ds/9874Mi)
% 19.38/3.11 % (21310)Instruction limit reached!
% 19.38/3.11 % (21310)------------------------------
% 19.38/3.11 % (21310)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.38/3.11 % (21310)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.38/3.11 % (21310)Termination reason: Time limit
% 19.38/3.11 % (21310)Termination phase: Saturation
% 19.38/3.11
% 19.38/3.11 % (21310)Memory used [KB]: 66613
% 19.38/3.11 % (21310)Time elapsed: 2.430 s
% 19.38/3.11 % (21310)Instructions burned: 6971 (million)
% 19.38/3.15 % (21295)Running in auto input_syntax mode. Trying TPTP
% 19.38/3.15 % (21327)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=7263:s2at=2.0_0 on theBenchmark for (2972ds/7263Mi)
% 21.21/3.43 % (21324)Instruction limit reached!
% 21.21/3.43 % (21324)------------------------------
% 21.21/3.43 % (21324)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.21/3.43 % (21324)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.21/3.43 % (21324)Termination reason: Time limit
% 21.21/3.43 % (21324)Termination phase: Saturation
% 21.21/3.43
% 21.21/3.43 % (21324)Memory used [KB]: 22737
% 21.21/3.43 % (21324)Time elapsed: 1.304 s
% 21.21/3.43 % (21324)Instructions burned: 4106 (million)
% 21.21/3.45 % (21325)First to succeed.
% 21.21/3.46 % (21325)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21295"
% 21.21/3.46 % (21295)Running in auto input_syntax mode. Trying TPTP
% 21.21/3.46 % (21325)Refutation found. Thanks to Tanya!
% 21.21/3.46 % SZS status Unsatisfiable for theBenchmark
% 21.21/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 21.21/3.46 % (21325)------------------------------
% 21.21/3.46 % (21325)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.21/3.46 % (21325)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.21/3.46 % (21325)Termination reason: Refutation
% 21.21/3.46
% 21.21/3.46 % (21325)Memory used [KB]: 23610
% 21.21/3.46 % (21325)Time elapsed: 1.091 s
% 21.21/3.46 % (21325)Instructions burned: 3450 (million)
% 21.21/3.46 % (21325)------------------------------
% 21.21/3.46 % (21325)------------------------------
% 21.21/3.46 % (21295)Success in time 3.115 s
%------------------------------------------------------------------------------