TSTP Solution File: REL027-3 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : REL027-3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 13:59:09 EDT 2024
% Result : Unsatisfiable 17.68s 2.88s
% Output : Refutation 17.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 90
% Number of leaves : 29
% Syntax : Number of formulae : 577 ( 577 unt; 0 def)
% Number of atoms : 577 ( 571 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 437 ( 437 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103385,plain,
$false,
inference(subsumption_resolution,[],[f33,f102752]) ).
fof(f102752,plain,
~ sP0(sF6),
inference(backward_demodulation,[],[f39,f102751]) ).
fof(f102751,plain,
sF6 = sF11,
inference(forward_demodulation,[],[f102263,f32]) ).
fof(f32,plain,
complement(sF5) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f102263,plain,
complement(sF5) = sF11,
inference(backward_demodulation,[],[f38,f102262]) ).
fof(f102262,plain,
sF5 = sF10,
inference(forward_demodulation,[],[f101881,f13343]) ).
fof(f13343,plain,
! [X2,X0,X1] : sF5 = join(sF5,complement(join(X2,join(X1,join(X0,sF1))))),
inference(superposition,[],[f9350,f417]) ).
fof(f417,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
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(f9350,plain,
! [X0,X1] : sF5 = join(sF5,complement(join(X0,join(X1,sF1)))),
inference(superposition,[],[f9272,f436]) ).
fof(f436,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f9272,plain,
! [X0] : sF5 = join(sF5,complement(join(sF1,X0))),
inference(forward_demodulation,[],[f9237,f31]) ).
fof(f31,plain,
join(sF3,sF4) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
fof(f9237,plain,
! [X0] : join(sF3,sF4) = join(sF5,complement(join(sF1,X0))),
inference(superposition,[],[f427,f9164]) ).
fof(f9164,plain,
! [X0] : sF4 = join(sF4,complement(join(sF1,X0))),
inference(forward_demodulation,[],[f9116,f41]) ).
fof(f41,plain,
sF4 = complement(sF1),
inference(backward_demodulation,[],[f30,f27]) ).
fof(f27,plain,
one = sF1,
inference(definition_folding,[],[f17,f26]) ).
fof(f26,plain,
join(sk1,one) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f17,axiom,
one = join(sk1,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30,plain,
complement(one) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f9116,plain,
! [X0] : complement(sF1) = join(sF4,complement(join(sF1,X0))),
inference(superposition,[],[f2889,f8578]) ).
fof(f8578,plain,
! [X0] : sF1 = complement(join(sF4,complement(join(sF1,X0)))),
inference(forward_demodulation,[],[f8577,f2577]) ).
fof(f2577,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1518,f1817]) ).
fof(f1817,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1816,f56]) ).
fof(f56,plain,
zero = complement(join(sF4,sF1)),
inference(backward_demodulation,[],[f43,f53]) ).
fof(f53,plain,
top = join(sF4,sF1),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
top = join(sF1,sF4),
inference(superposition,[],[f12,f41]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f43,plain,
zero = complement(top),
inference(forward_demodulation,[],[f23,f12]) ).
fof(f23,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[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(f1816,plain,
! [X0] : join(complement(join(sF4,sF1)),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1815,f1]) ).
fof(f1815,plain,
! [X0] : join(complement(complement(X0)),complement(join(sF4,sF1))) = X0,
inference(forward_demodulation,[],[f1814,f57]) ).
fof(f57,plain,
! [X0] : join(X0,complement(X0)) = join(sF4,sF1),
inference(backward_demodulation,[],[f12,f53]) ).
fof(f1814,plain,
! [X0] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1770,f1]) ).
fof(f1770,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f3,f1486]) ).
fof(f1486,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1485,f257]) ).
fof(f257,plain,
! [X0] : composition(sF1,X0) = X0,
inference(backward_demodulation,[],[f249,f255]) ).
fof(f255,plain,
sF1 = converse(sF1),
inference(superposition,[],[f249,f42]) ).
fof(f42,plain,
! [X0] : composition(X0,sF1) = X0,
inference(forward_demodulation,[],[f6,f27]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f249,plain,
! [X0] : composition(converse(sF1),X0) = X0,
inference(forward_demodulation,[],[f232,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f232,plain,
! [X0] : converse(converse(X0)) = composition(converse(sF1),X0),
inference(superposition,[],[f87,f42]) ).
fof(f87,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1485,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(sF1,X0))),
inference(forward_demodulation,[],[f1484,f257]) ).
fof(f1484,plain,
! [X0] : complement(X0) = join(complement(X0),composition(sF1,complement(composition(sF1,X0)))),
inference(forward_demodulation,[],[f1458,f1]) ).
fof(f1458,plain,
! [X0] : complement(X0) = join(composition(sF1,complement(composition(sF1,X0))),complement(X0)),
inference(superposition,[],[f11,f255]) ).
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(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(f1518,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f417,f1507]) ).
fof(f1507,plain,
zero = join(zero,zero),
inference(superposition,[],[f1486,f56]) ).
fof(f8577,plain,
! [X0] : sF1 = join(zero,complement(join(sF4,complement(join(sF1,X0))))),
inference(forward_demodulation,[],[f8525,f56]) ).
fof(f8525,plain,
! [X0] : sF1 = join(complement(join(sF4,sF1)),complement(join(sF4,complement(join(sF1,X0))))),
inference(superposition,[],[f1826,f4276]) ).
fof(f4276,plain,
! [X1] : join(sF4,sF1) = join(sF4,join(sF1,X1)),
inference(backward_demodulation,[],[f444,f4254]) ).
fof(f4254,plain,
! [X0,X1] : join(sF4,sF1) = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f933,f4147]) ).
fof(f4147,plain,
! [X0] : join(sF4,sF1) = join(X0,join(sF4,sF1)),
inference(superposition,[],[f3055,f57]) ).
fof(f3055,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f417,f3001]) ).
fof(f3001,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1486,f2889]) ).
fof(f933,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X1,join(sF4,sF1)),
inference(forward_demodulation,[],[f834,f436]) ).
fof(f834,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(X1,join(sF4,sF1)),
inference(superposition,[],[f436,f57]) ).
fof(f444,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(sF4,join(sF1,X1)),
inference(forward_demodulation,[],[f419,f2]) ).
fof(f419,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(join(sF4,sF1),X1),
inference(superposition,[],[f2,f57]) ).
fof(f1826,plain,
! [X0] : sF1 = join(complement(join(sF4,X0)),complement(join(sF4,complement(X0)))),
inference(forward_demodulation,[],[f1777,f1]) ).
fof(f1777,plain,
! [X0] : sF1 = join(complement(join(sF4,complement(X0))),complement(join(sF4,X0))),
inference(superposition,[],[f3,f41]) ).
fof(f2889,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2888,f1486]) ).
fof(f2888,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(forward_demodulation,[],[f2622,f2606]) ).
fof(f2606,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f1856,f2577]) ).
fof(f1856,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1849,f436]) ).
fof(f1849,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(superposition,[],[f417,f1817]) ).
fof(f2622,plain,
! [X0] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(backward_demodulation,[],[f1838,f2577]) ).
fof(f1838,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f1837,f56]) ).
fof(f1837,plain,
! [X0] : join(complement(join(sF4,sF1)),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f1788,f1]) ).
fof(f1788,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(join(sF4,sF1))) = X0,
inference(superposition,[],[f3,f57]) ).
fof(f427,plain,
! [X0] : join(sF3,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f2,f31]) ).
fof(f101881,plain,
! [X2,X0,X1] : sF10 = join(sF5,complement(join(X2,join(X1,join(X0,sF1))))),
inference(backward_demodulation,[],[f18755,f101481]) ).
fof(f101481,plain,
! [X0] : join(sF5,X0) = join(sF10,X0),
inference(backward_demodulation,[],[f1659,f101100]) ).
fof(f101100,plain,
! [X0] : join(sF5,X0) = join(sF4,join(sF10,X0)),
inference(backward_demodulation,[],[f1655,f101099]) ).
fof(f101099,plain,
! [X0] : join(sF5,X0) = join(X0,sF10),
inference(forward_demodulation,[],[f101098,f1685]) ).
fof(f1685,plain,
! [X0] : join(sF5,X0) = join(sF3,join(sF5,X0)),
inference(backward_demodulation,[],[f546,f1684]) ).
fof(f1684,plain,
! [X0] : join(sF5,X0) = join(sF3,join(X0,sF5)),
inference(forward_demodulation,[],[f1676,f436]) ).
fof(f1676,plain,
! [X0] : join(sF5,X0) = join(sF5,join(sF3,X0)),
inference(superposition,[],[f417,f1570]) ).
fof(f1570,plain,
sF5 = join(sF3,sF5),
inference(forward_demodulation,[],[f1569,f66]) ).
fof(f66,plain,
sF5 = join(sF4,sF3),
inference(superposition,[],[f1,f31]) ).
fof(f1569,plain,
join(sF4,sF3) = join(sF3,sF5),
inference(forward_demodulation,[],[f1560,f1]) ).
fof(f1560,plain,
join(sF4,sF3) = join(sF5,sF3),
inference(superposition,[],[f428,f1510]) ).
fof(f1510,plain,
sF3 = join(sF3,sF3),
inference(superposition,[],[f1486,f29]) ).
fof(f29,plain,
complement(sF2) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f428,plain,
! [X0] : join(sF5,X0) = join(sF4,join(sF3,X0)),
inference(superposition,[],[f2,f66]) ).
fof(f546,plain,
! [X0] : join(sF3,join(sF5,X0)) = join(sF3,join(X0,sF5)),
inference(forward_demodulation,[],[f541,f436]) ).
fof(f541,plain,
! [X0] : join(sF5,join(sF3,X0)) = join(sF3,join(sF5,X0)),
inference(superposition,[],[f427,f428]) ).
fof(f101098,plain,
! [X0] : join(sF3,join(sF5,X0)) = join(X0,sF10),
inference(forward_demodulation,[],[f100846,f436]) ).
fof(f100846,plain,
! [X0] : join(X0,sF10) = join(sF5,join(X0,sF3)),
inference(backward_demodulation,[],[f25914,f100836]) ).
fof(f100836,plain,
sF3 = complement(join(sF4,sF8)),
inference(forward_demodulation,[],[f100835,f29]) ).
fof(f100835,plain,
complement(sF2) = complement(join(sF4,sF8)),
inference(forward_demodulation,[],[f100834,f11057]) ).
fof(f11057,plain,
sF2 = join(sF4,sF2),
inference(forward_demodulation,[],[f11056,f1]) ).
fof(f11056,plain,
sF2 = join(sF2,sF4),
inference(forward_demodulation,[],[f11041,f41]) ).
fof(f11041,plain,
sF2 = join(sF2,complement(sF1)),
inference(superposition,[],[f10926,f2666]) ).
fof(f2666,plain,
sF1 = join(sF1,sF3),
inference(forward_demodulation,[],[f2655,f1]) ).
fof(f2655,plain,
sF1 = join(sF3,sF1),
inference(backward_demodulation,[],[f40,f2601]) ).
fof(f2601,plain,
! [X0] : join(sk1,X0) = join(sF3,X0),
inference(backward_demodulation,[],[f1861,f2577]) ).
fof(f1861,plain,
! [X0] : join(sk1,X0) = join(sF3,join(zero,X0)),
inference(superposition,[],[f2,f1853]) ).
fof(f1853,plain,
sk1 = join(sF3,zero),
inference(forward_demodulation,[],[f1852,f1]) ).
fof(f1852,plain,
sk1 = join(zero,sF3),
inference(forward_demodulation,[],[f1841,f29]) ).
fof(f1841,plain,
sk1 = join(zero,complement(sF2)),
inference(superposition,[],[f1817,f28]) ).
fof(f28,plain,
complement(sk1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f40,plain,
sF1 = join(sk1,sF1),
inference(backward_demodulation,[],[f26,f27]) ).
fof(f10926,plain,
! [X0] : sF2 = join(sF2,complement(join(X0,sF3))),
inference(superposition,[],[f10899,f1]) ).
fof(f10899,plain,
! [X0] : sF2 = join(sF2,complement(join(sF3,X0))),
inference(forward_demodulation,[],[f10867,f2846]) ).
fof(f2846,plain,
sF2 = complement(sF3),
inference(backward_demodulation,[],[f28,f2844]) ).
fof(f2844,plain,
sk1 = sF3,
inference(backward_demodulation,[],[f1853,f2841]) ).
fof(f2841,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f2620,f2633]) ).
fof(f2633,plain,
! [X0] : join(composition(converse(sk1),sF8),X0) = X0,
inference(forward_demodulation,[],[f2596,f2577]) ).
fof(f2596,plain,
! [X0] : join(zero,join(composition(converse(sk1),sF8),X0)) = X0,
inference(backward_demodulation,[],[f1501,f2577]) ).
fof(f1501,plain,
! [X0] : join(zero,X0) = join(zero,join(composition(converse(sk1),sF8),X0)),
inference(superposition,[],[f2,f1492]) ).
fof(f1492,plain,
zero = join(zero,composition(converse(sk1),sF8)),
inference(forward_demodulation,[],[f1491,f56]) ).
fof(f1491,plain,
complement(join(sF4,sF1)) = join(complement(join(sF4,sF1)),composition(converse(sk1),sF8)),
inference(forward_demodulation,[],[f1490,f35]) ).
fof(f35,plain,
complement(sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f1490,plain,
complement(join(sF4,sF1)) = join(complement(join(sF4,sF1)),composition(converse(sk1),complement(sF7))),
inference(forward_demodulation,[],[f1461,f1]) ).
fof(f1461,plain,
complement(join(sF4,sF1)) = join(composition(converse(sk1),complement(sF7)),complement(join(sF4,sF1))),
inference(superposition,[],[f11,f58]) ).
fof(f58,plain,
sF7 = composition(sk1,join(sF4,sF1)),
inference(backward_demodulation,[],[f34,f53]) ).
fof(f34,plain,
composition(sk1,top) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f2620,plain,
! [X0] : join(X0,zero) = join(composition(converse(sk1),sF8),X0),
inference(backward_demodulation,[],[f1503,f2577]) ).
fof(f1503,plain,
! [X0] : join(X0,zero) = join(zero,join(composition(converse(sk1),sF8),X0)),
inference(superposition,[],[f436,f1492]) ).
fof(f10867,plain,
! [X0] : complement(sF3) = join(sF2,complement(join(sF3,X0))),
inference(superposition,[],[f2889,f10507]) ).
fof(f10507,plain,
! [X0] : sF3 = complement(join(sF2,complement(join(sF3,X0)))),
inference(forward_demodulation,[],[f10506,f2577]) ).
fof(f10506,plain,
! [X0] : sF3 = join(zero,complement(join(sF2,complement(join(sF3,X0))))),
inference(forward_demodulation,[],[f10474,f56]) ).
fof(f10474,plain,
! [X0] : sF3 = join(complement(join(sF4,sF1)),complement(join(sF2,complement(join(sF3,X0))))),
inference(superposition,[],[f2866,f4277]) ).
fof(f4277,plain,
! [X0] : join(sF4,sF1) = join(sF2,join(sF3,X0)),
inference(backward_demodulation,[],[f448,f4276]) ).
fof(f448,plain,
! [X0] : join(sF2,join(sF3,X0)) = join(sF4,join(sF1,X0)),
inference(forward_demodulation,[],[f426,f2]) ).
fof(f426,plain,
! [X0] : join(join(sF4,sF1),X0) = join(sF2,join(sF3,X0)),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
join(sF2,sF3) = join(sF4,sF1),
inference(forward_demodulation,[],[f47,f53]) ).
fof(f47,plain,
top = join(sF2,sF3),
inference(superposition,[],[f12,f29]) ).
fof(f2866,plain,
! [X0] : sF3 = join(complement(join(sF2,X0)),complement(join(sF2,complement(X0)))),
inference(backward_demodulation,[],[f1825,f2844]) ).
fof(f1825,plain,
! [X0] : sk1 = join(complement(join(sF2,X0)),complement(join(sF2,complement(X0)))),
inference(forward_demodulation,[],[f1776,f1]) ).
fof(f1776,plain,
! [X0] : sk1 = join(complement(join(sF2,complement(X0))),complement(join(sF2,X0))),
inference(superposition,[],[f3,f28]) ).
fof(f100834,plain,
complement(join(sF4,sF2)) = complement(join(sF4,sF8)),
inference(forward_demodulation,[],[f100833,f28127]) ).
fof(f28127,plain,
! [X0] : complement(join(X0,sF8)) = join(complement(join(X0,sF2)),complement(join(X0,sF8))),
inference(forward_demodulation,[],[f28106,f1]) ).
fof(f28106,plain,
! [X0] : complement(join(X0,sF8)) = join(complement(join(X0,sF8)),complement(join(X0,sF2))),
inference(superposition,[],[f23692,f26007]) ).
fof(f26007,plain,
! [X0] : join(X0,sF2) = join(sF2,join(X0,sF8)),
inference(superposition,[],[f749,f25932]) ).
fof(f25932,plain,
sF2 = join(sF2,sF8),
inference(forward_demodulation,[],[f25886,f2846]) ).
fof(f25886,plain,
complement(sF3) = join(sF2,sF8),
inference(superposition,[],[f2889,f25643]) ).
fof(f25643,plain,
sF3 = complement(join(sF2,sF8)),
inference(forward_demodulation,[],[f25626,f2577]) ).
fof(f25626,plain,
sF3 = join(zero,complement(join(sF2,sF8))),
inference(backward_demodulation,[],[f10494,f25625]) ).
fof(f25625,plain,
zero = complement(join(sF2,sF7)),
inference(forward_demodulation,[],[f25624,f1]) ).
fof(f25624,plain,
zero = complement(join(sF7,sF2)),
inference(forward_demodulation,[],[f25592,f2846]) ).
fof(f25592,plain,
zero = complement(join(sF7,complement(sF3))),
inference(superposition,[],[f24493,f42]) ).
fof(f24493,plain,
! [X0] : zero = complement(join(sF7,complement(composition(sF3,X0)))),
inference(forward_demodulation,[],[f24492,f2577]) ).
fof(f24492,plain,
! [X0] : zero = join(zero,complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24491,f56]) ).
fof(f24491,plain,
! [X0] : complement(join(sF4,sF1)) = join(complement(join(sF4,sF1)),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24490,f1595]) ).
fof(f1595,plain,
join(sF4,sF1) = join(sF1,sF10),
inference(forward_demodulation,[],[f1594,f63]) ).
fof(f63,plain,
join(sF8,sF9) = join(sF4,sF1),
inference(forward_demodulation,[],[f50,f53]) ).
fof(f50,plain,
top = join(sF8,sF9),
inference(superposition,[],[f12,f36]) ).
fof(f36,plain,
complement(sF8) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f1594,plain,
join(sF8,sF9) = join(sF1,sF10),
inference(forward_demodulation,[],[f1593,f1]) ).
fof(f1593,plain,
join(sF8,sF9) = join(sF10,sF1),
inference(forward_demodulation,[],[f1587,f551]) ).
fof(f551,plain,
! [X0] : join(sF10,X0) = join(sF4,join(X0,sF9)),
inference(superposition,[],[f429,f1]) ).
fof(f429,plain,
! [X0] : join(sF4,join(sF9,X0)) = join(sF10,X0),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
sF10 = join(sF4,sF9),
inference(superposition,[],[f1,f37]) ).
fof(f37,plain,
join(sF9,sF4) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f1587,plain,
join(sF8,sF9) = join(sF4,join(sF1,sF9)),
inference(superposition,[],[f453,f1513]) ).
fof(f1513,plain,
sF9 = join(sF9,sF9),
inference(superposition,[],[f1486,f36]) ).
fof(f453,plain,
! [X0] : join(sF8,join(sF9,X0)) = join(sF4,join(sF1,X0)),
inference(forward_demodulation,[],[f433,f2]) ).
fof(f433,plain,
! [X0] : join(join(sF4,sF1),X0) = join(sF8,join(sF9,X0)),
inference(superposition,[],[f2,f63]) ).
fof(f24490,plain,
! [X0] : complement(join(sF1,sF10)) = join(complement(join(sF1,sF10)),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24489,f1]) ).
fof(f24489,plain,
! [X0] : complement(join(sF10,sF1)) = join(complement(join(sF10,sF1)),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24488,f2843]) ).
fof(f2843,plain,
! [X0] : join(sF10,X0) = join(sF4,join(sF7,X0)),
inference(backward_demodulation,[],[f1918,f2841]) ).
fof(f1918,plain,
! [X0] : join(sF10,join(X0,zero)) = join(sF4,join(sF7,X0)),
inference(forward_demodulation,[],[f1917,f436]) ).
fof(f1917,plain,
! [X0] : join(zero,join(sF10,X0)) = join(sF4,join(sF7,X0)),
inference(forward_demodulation,[],[f1914,f2]) ).
fof(f1914,plain,
! [X0] : join(zero,join(sF10,X0)) = join(join(sF4,sF7),X0),
inference(superposition,[],[f417,f1878]) ).
fof(f1878,plain,
join(sF10,zero) = join(sF4,sF7),
inference(forward_demodulation,[],[f1871,f1]) ).
fof(f1871,plain,
join(zero,sF10) = join(sF4,sF7),
inference(superposition,[],[f962,f1855]) ).
fof(f1855,plain,
sF7 = join(sF9,zero),
inference(forward_demodulation,[],[f1854,f1]) ).
fof(f1854,plain,
sF7 = join(zero,sF9),
inference(forward_demodulation,[],[f1845,f36]) ).
fof(f1845,plain,
sF7 = join(zero,complement(sF8)),
inference(superposition,[],[f1817,f35]) ).
fof(f962,plain,
! [X0] : join(sF4,join(sF9,X0)) = join(X0,sF10),
inference(forward_demodulation,[],[f857,f436]) ).
fof(f857,plain,
! [X0] : join(sF9,join(X0,sF4)) = join(X0,sF10),
inference(superposition,[],[f436,f67]) ).
fof(f24488,plain,
! [X0] : complement(join(sF4,join(sF7,sF1))) = join(complement(join(sF4,join(sF7,sF1))),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24487,f436]) ).
fof(f24487,plain,
! [X0] : complement(join(sF1,join(sF4,sF7))) = join(complement(join(sF1,join(sF4,sF7))),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24486,f16108]) ).
fof(f16108,plain,
! [X0,X1] : join(sF1,join(X0,X1)) = join(sF1,join(X1,X0)),
inference(forward_demodulation,[],[f16107,f2]) ).
fof(f16107,plain,
! [X0,X1] : join(join(sF1,X0),X1) = join(sF1,join(X1,X0)),
inference(forward_demodulation,[],[f16106,f16075]) ).
fof(f16075,plain,
! [X0,X1] : join(sF1,join(X0,X1)) = join(sF1,join(X1,join(converse(sF6),X0))),
inference(superposition,[],[f8675,f436]) ).
fof(f8675,plain,
! [X0] : join(sF1,X0) = join(sF1,join(converse(sF6),X0)),
inference(superposition,[],[f2,f8661]) ).
fof(f8661,plain,
sF1 = join(sF1,converse(sF6)),
inference(forward_demodulation,[],[f8655,f255]) ).
fof(f8655,plain,
converse(sF1) = join(sF1,converse(sF6)),
inference(superposition,[],[f259,f8648]) ).
fof(f8648,plain,
sF1 = join(sF1,sF6),
inference(forward_demodulation,[],[f8643,f1]) ).
fof(f8643,plain,
sF1 = join(sF6,sF1),
inference(superposition,[],[f3055,f8592]) ).
fof(f8592,plain,
sF1 = join(sF6,complement(join(sF4,sF2))),
inference(forward_demodulation,[],[f8591,f32]) ).
fof(f8591,plain,
sF1 = join(complement(sF5),complement(join(sF4,sF2))),
inference(forward_demodulation,[],[f8546,f2846]) ).
fof(f8546,plain,
sF1 = join(complement(sF5),complement(join(sF4,complement(sF3)))),
inference(superposition,[],[f1826,f66]) ).
fof(f259,plain,
! [X0] : converse(join(sF1,X0)) = join(sF1,converse(X0)),
inference(superposition,[],[f9,f255]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f16106,plain,
! [X0,X1] : join(join(sF1,X0),X1) = join(sF1,join(X0,join(converse(sF6),X1))),
inference(forward_demodulation,[],[f16105,f755]) ).
fof(f755,plain,
! [X2,X3,X0,X1] : join(X1,join(X0,join(X2,X3))) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f754,f2]) ).
fof(f754,plain,
! [X2,X3,X0,X1] : join(X2,join(join(X0,X1),X3)) = join(X1,join(X0,join(X2,X3))),
inference(forward_demodulation,[],[f753,f2]) ).
fof(f753,plain,
! [X2,X3,X0,X1] : join(X2,join(join(X0,X1),X3)) = join(X1,join(join(X0,X2),X3)),
inference(forward_demodulation,[],[f709,f2]) ).
fof(f709,plain,
! [X2,X3,X0,X1] : join(X2,join(join(X0,X1),X3)) = join(join(X1,join(X0,X2)),X3),
inference(superposition,[],[f417,f417]) ).
fof(f16105,plain,
! [X0,X1] : join(join(sF1,X0),X1) = join(converse(sF6),join(X0,join(sF1,X1))),
inference(forward_demodulation,[],[f16089,f2]) ).
fof(f16089,plain,
! [X0,X1] : join(join(sF1,X0),X1) = join(join(converse(sF6),X0),join(sF1,X1)),
inference(superposition,[],[f417,f8675]) ).
fof(f24486,plain,
! [X0] : complement(join(sF1,join(sF7,sF4))) = join(complement(join(sF1,join(sF7,sF4))),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24485,f436]) ).
fof(f24485,plain,
! [X0] : complement(join(sF7,join(sF4,sF1))) = join(complement(join(sF7,join(sF4,sF1))),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24484,f2988]) ).
fof(f2988,plain,
join(sF4,sF1) = complement(zero),
inference(superposition,[],[f2889,f56]) ).
fof(f24484,plain,
! [X0] : complement(join(sF7,complement(zero))) = join(complement(join(sF7,complement(zero))),complement(join(sF7,complement(composition(sF3,X0))))),
inference(forward_demodulation,[],[f24483,f1]) ).
fof(f24483,plain,
! [X0] : complement(join(sF7,complement(zero))) = join(complement(join(sF7,complement(composition(sF3,X0)))),complement(join(sF7,complement(zero)))),
inference(backward_demodulation,[],[f4338,f24465]) ).
fof(f24465,plain,
zero = composition(sF3,zero),
inference(superposition,[],[f24365,f2577]) ).
fof(f24365,plain,
! [X0] : join(X0,composition(sF3,X0)) = X0,
inference(forward_demodulation,[],[f24140,f257]) ).
fof(f24140,plain,
! [X0] : composition(sF1,X0) = join(X0,composition(sF3,X0)),
inference(superposition,[],[f685,f2666]) ).
fof(f685,plain,
! [X0,X1] : composition(join(sF1,X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f7,f257]) ).
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(f4338,plain,
! [X0] : complement(join(sF7,complement(composition(sF3,zero)))) = join(complement(join(sF7,complement(composition(sF3,X0)))),complement(join(sF7,complement(composition(sF3,zero))))),
inference(forward_demodulation,[],[f4315,f56]) ).
fof(f4315,plain,
! [X0] : complement(join(sF7,complement(composition(sF3,complement(join(sF4,sF1)))))) = join(complement(join(sF7,complement(composition(sF3,X0)))),complement(join(sF7,complement(composition(sF3,complement(join(sF4,sF1))))))),
inference(backward_demodulation,[],[f3443,f4276]) ).
fof(f3443,plain,
! [X0] : complement(join(sF7,complement(composition(sF3,complement(join(sF4,join(sF1,complement(X0)))))))) = join(complement(join(sF7,complement(composition(sF3,X0)))),complement(join(sF7,complement(composition(sF3,complement(join(sF4,join(sF1,complement(X0))))))))),
inference(forward_demodulation,[],[f3442,f1]) ).
fof(f3442,plain,
! [X0] : complement(join(sF7,complement(composition(sF3,complement(join(sF4,join(sF1,complement(X0)))))))) = join(complement(join(complement(composition(sF3,X0)),sF7)),complement(join(sF7,complement(composition(sF3,complement(join(sF4,join(sF1,complement(X0))))))))),
inference(forward_demodulation,[],[f3441,f2995]) ).
fof(f2995,plain,
sF7 = complement(sF8),
inference(superposition,[],[f2889,f35]) ).
fof(f3441,plain,
! [X0] : complement(join(complement(sF8),complement(composition(sF3,complement(join(sF4,join(sF1,complement(X0)))))))) = join(complement(join(complement(composition(sF3,X0)),complement(sF8))),complement(join(complement(sF8),complement(composition(sF3,complement(join(sF4,join(sF1,complement(X0))))))))),
inference(forward_demodulation,[],[f3440,f2]) ).
fof(f3440,plain,
! [X0] : complement(join(complement(sF8),complement(composition(sF3,complement(join(join(sF4,sF1),complement(X0))))))) = join(complement(join(complement(composition(sF3,X0)),complement(sF8))),complement(join(complement(sF8),complement(composition(sF3,complement(join(join(sF4,sF1),complement(X0)))))))),
inference(forward_demodulation,[],[f3439,f1]) ).
fof(f3439,plain,
! [X0] : complement(join(complement(sF8),complement(composition(sF3,complement(join(complement(X0),join(sF4,sF1))))))) = join(complement(join(complement(composition(sF3,X0)),complement(sF8))),complement(join(complement(sF8),complement(composition(sF3,complement(join(complement(X0),join(sF4,sF1)))))))),
inference(forward_demodulation,[],[f3438,f2988]) ).
fof(f3438,plain,
! [X0] : complement(join(complement(sF8),complement(composition(sF3,complement(join(complement(X0),complement(zero))))))) = join(complement(join(complement(composition(sF3,X0)),complement(sF8))),complement(join(complement(sF8),complement(composition(sF3,complement(join(complement(X0),complement(zero)))))))),
inference(forward_demodulation,[],[f3375,f1]) ).
fof(f3375,plain,
! [X0] : complement(join(complement(composition(sF3,complement(join(complement(X0),complement(zero))))),complement(sF8))) = join(complement(join(complement(composition(sF3,X0)),complement(sF8))),complement(join(complement(composition(sF3,complement(join(complement(X0),complement(zero))))),complement(sF8)))),
inference(superposition,[],[f22,f2906]) ).
fof(f2906,plain,
zero = composition(converse(sF3),sF8),
inference(forward_demodulation,[],[f2631,f2844]) ).
fof(f2631,plain,
zero = composition(converse(sk1),sF8),
inference(backward_demodulation,[],[f1492,f2577]) ).
fof(f22,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f15,f4,f4,f4,f4,f4]) ).
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(f10494,plain,
sF3 = join(complement(join(sF2,sF7)),complement(join(sF2,sF8))),
inference(superposition,[],[f2866,f35]) ).
fof(f749,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f417,f2]) ).
fof(f23692,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(sF2,X0))),
inference(superposition,[],[f23686,f2889]) ).
fof(f23686,plain,
! [X0] : join(X0,complement(join(sF2,complement(X0)))) = X0,
inference(forward_demodulation,[],[f23637,f1]) ).
fof(f23637,plain,
! [X0] : join(complement(join(sF2,complement(X0))),X0) = X0,
inference(superposition,[],[f3055,f1801]) ).
fof(f1801,plain,
! [X0] : join(complement(join(sF2,complement(X0))),complement(join(sF3,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1800,f1]) ).
fof(f1800,plain,
! [X0] : join(complement(join(complement(X0),sF2)),complement(join(sF3,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1799,f1]) ).
fof(f1799,plain,
! [X0] : join(complement(join(complement(X0),sF2)),complement(join(complement(X0),sF3))) = X0,
inference(forward_demodulation,[],[f1765,f1]) ).
fof(f1765,plain,
! [X0] : join(complement(join(complement(X0),sF3)),complement(join(complement(X0),sF2))) = X0,
inference(superposition,[],[f3,f29]) ).
fof(f100833,plain,
complement(join(sF4,sF2)) = join(complement(join(sF4,sF2)),complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f100832,f1]) ).
fof(f100832,plain,
complement(join(sF4,sF2)) = join(complement(join(sF4,sF8)),complement(join(sF4,sF2))),
inference(forward_demodulation,[],[f100814,f2846]) ).
fof(f100814,plain,
complement(join(sF4,complement(sF3))) = join(complement(join(sF4,sF8)),complement(join(sF4,complement(sF3)))),
inference(backward_demodulation,[],[f62033,f100807]) ).
fof(f100807,plain,
sF3 = composition(converse(sF3),sF3),
inference(forward_demodulation,[],[f100806,f257]) ).
fof(f100806,plain,
composition(sF1,sF3) = composition(converse(sF3),sF3),
inference(forward_demodulation,[],[f100805,f2848]) ).
fof(f2848,plain,
sF1 = join(sF1,converse(sF3)),
inference(backward_demodulation,[],[f297,f2844]) ).
fof(f297,plain,
sF1 = join(sF1,converse(sk1)),
inference(forward_demodulation,[],[f278,f255]) ).
fof(f278,plain,
converse(sF1) = join(sF1,converse(sk1)),
inference(superposition,[],[f259,f65]) ).
fof(f65,plain,
sF1 = join(sF1,sk1),
inference(superposition,[],[f1,f40]) ).
fof(f100805,plain,
composition(converse(sF3),sF3) = composition(join(sF1,converse(sF3)),sF3),
inference(forward_demodulation,[],[f100804,f685]) ).
fof(f100804,plain,
composition(converse(sF3),sF3) = join(sF3,composition(converse(sF3),sF3)),
inference(forward_demodulation,[],[f100803,f29]) ).
fof(f100803,plain,
composition(converse(sF3),sF3) = join(complement(sF2),composition(converse(sF3),sF3)),
inference(forward_demodulation,[],[f100778,f1]) ).
fof(f100778,plain,
composition(converse(sF3),sF3) = join(composition(converse(sF3),sF3),complement(sF2)),
inference(backward_demodulation,[],[f99740,f100769]) ).
fof(f100769,plain,
sF2 = join(sF4,complement(composition(sF5,sF3))),
inference(forward_demodulation,[],[f100768,f11604]) ).
fof(f11604,plain,
sF2 = join(sF4,sF6),
inference(forward_demodulation,[],[f11603,f1]) ).
fof(f11603,plain,
sF2 = join(sF6,sF4),
inference(forward_demodulation,[],[f11602,f41]) ).
fof(f11602,plain,
sF2 = join(sF6,complement(sF1)),
inference(forward_demodulation,[],[f11601,f1]) ).
fof(f11601,plain,
sF2 = join(complement(sF1),sF6),
inference(forward_demodulation,[],[f11600,f32]) ).
fof(f11600,plain,
sF2 = join(complement(sF1),complement(sF5)),
inference(forward_demodulation,[],[f11599,f1]) ).
fof(f11599,plain,
sF2 = join(complement(sF5),complement(sF1)),
inference(forward_demodulation,[],[f11598,f2666]) ).
fof(f11598,plain,
sF2 = join(complement(sF5),complement(join(sF1,sF3))),
inference(forward_demodulation,[],[f11597,f1]) ).
fof(f11597,plain,
sF2 = join(complement(sF5),complement(join(sF3,sF1))),
inference(forward_demodulation,[],[f11557,f2627]) ).
fof(f2627,plain,
sF1 = complement(sF4),
inference(backward_demodulation,[],[f1842,f2577]) ).
fof(f1842,plain,
sF1 = join(zero,complement(sF4)),
inference(superposition,[],[f1817,f41]) ).
fof(f11557,plain,
sF2 = join(complement(sF5),complement(join(sF3,complement(sF4)))),
inference(superposition,[],[f1827,f31]) ).
fof(f1827,plain,
! [X0] : sF2 = join(complement(join(sF3,X0)),complement(join(sF3,complement(X0)))),
inference(forward_demodulation,[],[f1778,f1]) ).
fof(f1778,plain,
! [X0] : sF2 = join(complement(join(sF3,complement(X0))),complement(join(sF3,X0))),
inference(superposition,[],[f3,f29]) ).
fof(f100768,plain,
join(sF4,sF6) = join(sF4,complement(composition(sF5,sF3))),
inference(forward_demodulation,[],[f100767,f32]) ).
fof(f100767,plain,
join(sF4,complement(sF5)) = join(sF4,complement(composition(sF5,sF3))),
inference(forward_demodulation,[],[f99942,f100069]) ).
fof(f100069,plain,
sF5 = converse(sF10),
inference(forward_demodulation,[],[f99475,f29122]) ).
fof(f29122,plain,
! [X0] : join(X0,composition(X0,sF3)) = X0,
inference(forward_demodulation,[],[f29061,f8]) ).
fof(f29061,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(X0,sF3)),
inference(superposition,[],[f8,f24970]) ).
fof(f24970,plain,
! [X0] : converse(X0) = converse(join(X0,composition(X0,sF3))),
inference(forward_demodulation,[],[f24953,f9]) ).
fof(f24953,plain,
! [X0] : converse(X0) = join(converse(X0),converse(composition(X0,sF3))),
inference(superposition,[],[f24362,f10]) ).
fof(f24362,plain,
! [X0] : join(X0,composition(converse(sF3),X0)) = X0,
inference(forward_demodulation,[],[f24134,f257]) ).
fof(f24134,plain,
! [X0] : composition(sF1,X0) = join(X0,composition(converse(sF3),X0)),
inference(superposition,[],[f685,f2848]) ).
fof(f99475,plain,
converse(sF10) = join(sF5,composition(sF5,sF3)),
inference(backward_demodulation,[],[f55967,f99444]) ).
fof(f99444,plain,
converse(sF7) = composition(sF5,sF3),
inference(backward_demodulation,[],[f55885,f99353]) ).
fof(f99353,plain,
composition(join(sF4,sF1),sF3) = composition(sF5,sF3),
inference(superposition,[],[f95645,f61]) ).
fof(f61,plain,
join(sF5,sF6) = join(sF4,sF1),
inference(forward_demodulation,[],[f48,f53]) ).
fof(f48,plain,
top = join(sF5,sF6),
inference(superposition,[],[f12,f32]) ).
fof(f95645,plain,
! [X0] : composition(X0,sF3) = composition(join(X0,sF6),sF3),
inference(forward_demodulation,[],[f95644,f2577]) ).
fof(f95644,plain,
! [X0] : join(zero,composition(X0,sF3)) = composition(join(X0,sF6),sF3),
inference(forward_demodulation,[],[f95596,f1]) ).
fof(f95596,plain,
! [X0] : join(composition(X0,sF3),zero) = composition(join(X0,sF6),sF3),
inference(superposition,[],[f7,f95351]) ).
fof(f95351,plain,
zero = composition(sF6,sF3),
inference(forward_demodulation,[],[f95323,f56]) ).
fof(f95323,plain,
complement(join(sF4,sF1)) = composition(sF6,sF3),
inference(superposition,[],[f2889,f92236]) ).
fof(f92236,plain,
join(sF4,sF1) = complement(composition(sF6,sF3)),
inference(backward_demodulation,[],[f29630,f92235]) ).
fof(f92235,plain,
! [X0] : join(sF4,sF1) = join(X0,complement(composition(sF6,X0))),
inference(forward_demodulation,[],[f91301,f57]) ).
fof(f91301,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(composition(sF6,X0))),
inference(superposition,[],[f32466,f24366]) ).
fof(f24366,plain,
! [X0] : join(X0,composition(sF6,X0)) = X0,
inference(forward_demodulation,[],[f24142,f257]) ).
fof(f24142,plain,
! [X0] : composition(sF1,X0) = join(X0,composition(sF6,X0)),
inference(superposition,[],[f685,f8648]) ).
fof(f32466,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(X0,complement(X1)),
inference(superposition,[],[f31196,f2889]) ).
fof(f31196,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f1819,f31110]) ).
fof(f31110,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f29365,f1]) ).
fof(f29365,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f29222,f1]) ).
fof(f29222,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f3055,f1790]) ).
fof(f1790,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1819,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f1818,f2]) ).
fof(f1818,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f1771,f1]) ).
fof(f1771,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f3,f3]) ).
fof(f29630,plain,
complement(composition(sF6,sF3)) = join(sF3,complement(composition(sF6,sF3))),
inference(forward_demodulation,[],[f29629,f29]) ).
fof(f29629,plain,
complement(composition(sF6,sF3)) = join(complement(sF2),complement(composition(sF6,sF3))),
inference(forward_demodulation,[],[f29610,f1]) ).
fof(f29610,plain,
complement(composition(sF6,sF3)) = join(complement(composition(sF6,sF3)),complement(sF2)),
inference(superposition,[],[f23692,f29520]) ).
fof(f29520,plain,
sF2 = join(sF2,composition(sF6,sF3)),
inference(forward_demodulation,[],[f29519,f10573]) ).
fof(f10573,plain,
sF2 = join(sF2,sF6),
inference(forward_demodulation,[],[f10562,f2846]) ).
fof(f10562,plain,
complement(sF3) = join(sF2,sF6),
inference(superposition,[],[f2889,f10525]) ).
fof(f10525,plain,
sF3 = complement(join(sF2,sF6)),
inference(forward_demodulation,[],[f10524,f2577]) ).
fof(f10524,plain,
sF3 = join(zero,complement(join(sF2,sF6))),
inference(forward_demodulation,[],[f10523,f56]) ).
fof(f10523,plain,
sF3 = join(complement(join(sF4,sF1)),complement(join(sF2,sF6))),
inference(forward_demodulation,[],[f10482,f32]) ).
fof(f10482,plain,
sF3 = join(complement(join(sF4,sF1)),complement(join(sF2,complement(sF5)))),
inference(superposition,[],[f2866,f1533]) ).
fof(f1533,plain,
join(sF4,sF1) = join(sF2,sF5),
inference(backward_demodulation,[],[f590,f1526]) ).
fof(f1526,plain,
! [X0] : join(sF4,X0) = join(sF4,join(sF4,X0)),
inference(superposition,[],[f417,f1509]) ).
fof(f1509,plain,
sF4 = join(sF4,sF4),
inference(superposition,[],[f1486,f41]) ).
fof(f590,plain,
join(sF4,join(sF4,sF1)) = join(sF2,sF5),
inference(forward_demodulation,[],[f585,f1]) ).
fof(f585,plain,
join(sF4,join(sF4,sF1)) = join(sF5,sF2),
inference(superposition,[],[f537,f60]) ).
fof(f537,plain,
! [X0] : join(sF5,X0) = join(sF4,join(X0,sF3)),
inference(superposition,[],[f428,f1]) ).
fof(f29519,plain,
join(sF2,sF6) = join(sF2,composition(sF6,sF3)),
inference(forward_demodulation,[],[f29431,f1]) ).
fof(f29431,plain,
join(sF2,sF6) = join(composition(sF6,sF3),sF2),
inference(superposition,[],[f10590,f29122]) ).
fof(f10590,plain,
! [X0] : join(X0,sF2) = join(sF2,join(sF6,X0)),
inference(superposition,[],[f436,f10573]) ).
fof(f55885,plain,
converse(sF7) = composition(join(sF4,sF1),sF3),
inference(forward_demodulation,[],[f55884,f17162]) ).
fof(f17162,plain,
! [X2,X0,X1] : composition(join(X0,X2),X1) = composition(join(X2,X0),X1),
inference(superposition,[],[f690,f7]) ).
fof(f690,plain,
! [X2,X0,X1] : composition(join(X0,X2),X1) = join(composition(X2,X1),composition(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f55884,plain,
converse(sF7) = composition(join(sF1,sF4),sF3),
inference(forward_demodulation,[],[f55883,f3114]) ).
fof(f3114,plain,
sF4 = converse(sF4),
inference(superposition,[],[f91,f2958]) ).
fof(f2958,plain,
sF4 = join(sF4,converse(sF4)),
inference(forward_demodulation,[],[f2930,f42]) ).
fof(f2930,plain,
sF4 = join(sF4,composition(converse(sF4),sF1)),
inference(superposition,[],[f1488,f2627]) ).
fof(f1488,plain,
! [X0] : sF4 = join(sF4,composition(converse(X0),complement(X0))),
inference(forward_demodulation,[],[f1487,f41]) ).
fof(f1487,plain,
! [X0] : complement(sF1) = join(complement(sF1),composition(converse(X0),complement(X0))),
inference(forward_demodulation,[],[f1459,f1]) ).
fof(f1459,plain,
! [X0] : complement(sF1) = join(composition(converse(X0),complement(X0)),complement(sF1)),
inference(superposition,[],[f11,f42]) ).
fof(f91,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f81,f1]) ).
fof(f81,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f55883,plain,
converse(sF7) = composition(join(sF1,converse(sF4)),sF3),
inference(forward_demodulation,[],[f55868,f268]) ).
fof(f268,plain,
! [X0] : join(sF1,converse(X0)) = converse(join(X0,sF1)),
inference(forward_demodulation,[],[f260,f1]) ).
fof(f260,plain,
! [X0] : converse(join(X0,sF1)) = join(converse(X0),sF1),
inference(superposition,[],[f9,f255]) ).
fof(f55868,plain,
converse(sF7) = composition(converse(join(sF4,sF1)),sF3),
inference(superposition,[],[f87,f55794]) ).
fof(f55794,plain,
sF7 = composition(converse(sF3),join(sF4,sF1)),
inference(forward_demodulation,[],[f55793,f30042]) ).
fof(f30042,plain,
sF7 = composition(join(sF3,converse(sF3)),join(sF4,sF1)),
inference(forward_demodulation,[],[f30023,f2641]) ).
fof(f2641,plain,
! [X0] : join(sF7,composition(X0,join(sF4,sF1))) = composition(join(sF3,X0),join(sF4,sF1)),
inference(backward_demodulation,[],[f684,f2601]) ).
fof(f684,plain,
! [X0] : composition(join(sk1,X0),join(sF4,sF1)) = join(sF7,composition(X0,join(sF4,sF1))),
inference(superposition,[],[f7,f58]) ).
fof(f30023,plain,
sF7 = join(sF7,composition(converse(sF3),join(sF4,sF1))),
inference(superposition,[],[f3022,f29875]) ).
fof(f29875,plain,
join(sF4,sF1) = complement(composition(sF3,sF8)),
inference(forward_demodulation,[],[f29874,f25690]) ).
fof(f25690,plain,
! [X0] : join(sF4,sF1) = join(sF7,complement(composition(sF3,X0))),
inference(forward_demodulation,[],[f25689,f2577]) ).
fof(f25689,plain,
! [X0] : join(sF4,sF1) = join(sF7,join(zero,complement(composition(sF3,X0)))),
inference(forward_demodulation,[],[f25688,f20555]) ).
fof(f20555,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f749,f436]) ).
fof(f25688,plain,
! [X0] : join(sF4,sF1) = join(sF7,join(complement(composition(sF3,X0)),zero)),
inference(forward_demodulation,[],[f25598,f2]) ).
fof(f25598,plain,
! [X0] : join(sF4,sF1) = join(join(sF7,complement(composition(sF3,X0))),zero),
inference(superposition,[],[f57,f24493]) ).
fof(f29874,plain,
complement(composition(sF3,sF8)) = join(sF7,complement(composition(sF3,sF8))),
inference(forward_demodulation,[],[f29873,f2847]) ).
fof(f2847,plain,
sF7 = composition(sF3,join(sF4,sF1)),
inference(backward_demodulation,[],[f58,f2844]) ).
fof(f29873,plain,
complement(composition(sF3,sF8)) = join(composition(sF3,join(sF4,sF1)),complement(composition(sF3,sF8))),
inference(forward_demodulation,[],[f29872,f1]) ).
fof(f29872,plain,
complement(composition(sF3,sF8)) = join(complement(composition(sF3,sF8)),composition(sF3,join(sF4,sF1))),
inference(forward_demodulation,[],[f29866,f2988]) ).
fof(f29866,plain,
complement(composition(sF3,sF8)) = join(complement(composition(sF3,sF8)),composition(sF3,complement(zero))),
inference(superposition,[],[f1483,f29489]) ).
fof(f29489,plain,
zero = composition(converse(sF3),composition(sF3,sF8)),
inference(forward_demodulation,[],[f29488,f2906]) ).
fof(f29488,plain,
composition(converse(sF3),sF8) = composition(converse(sF3),composition(sF3,sF8)),
inference(forward_demodulation,[],[f29398,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(f29398,plain,
composition(converse(sF3),sF8) = composition(composition(converse(sF3),sF3),sF8),
inference(superposition,[],[f3094,f29122]) ).
fof(f3094,plain,
! [X0] : composition(X0,sF8) = composition(join(converse(sF3),X0),sF8),
inference(forward_demodulation,[],[f3090,f2577]) ).
fof(f3090,plain,
! [X0] : composition(join(converse(sF3),X0),sF8) = join(zero,composition(X0,sF8)),
inference(superposition,[],[f7,f2906]) ).
fof(f1483,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f1457,f1]) ).
fof(f1457,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f11,f8]) ).
fof(f3022,plain,
! [X0] : sF7 = join(sF7,composition(converse(X0),complement(composition(X0,sF8)))),
inference(backward_demodulation,[],[f2792,f3005]) ).
fof(f3005,plain,
sF7 = sF9,
inference(backward_demodulation,[],[f36,f2995]) ).
fof(f2792,plain,
! [X0] : sF9 = join(sF7,composition(converse(X0),complement(composition(X0,sF8)))),
inference(forward_demodulation,[],[f2715,f1]) ).
fof(f2715,plain,
! [X0] : sF9 = join(composition(converse(X0),complement(composition(X0,sF8))),sF7),
inference(backward_demodulation,[],[f1499,f2603]) ).
fof(f2603,plain,
! [X0] : join(sF9,X0) = join(X0,sF7),
inference(backward_demodulation,[],[f1874,f2577]) ).
fof(f1874,plain,
! [X0] : join(X0,sF7) = join(sF9,join(zero,X0)),
inference(superposition,[],[f436,f1855]) ).
fof(f1499,plain,
! [X0] : sF9 = join(sF9,composition(converse(X0),complement(composition(X0,sF8)))),
inference(forward_demodulation,[],[f1468,f1]) ).
fof(f1468,plain,
! [X0] : sF9 = join(composition(converse(X0),complement(composition(X0,sF8))),sF9),
inference(superposition,[],[f11,f36]) ).
fof(f55793,plain,
composition(converse(sF3),join(sF4,sF1)) = composition(join(sF3,converse(sF3)),join(sF4,sF1)),
inference(forward_demodulation,[],[f55792,f2641]) ).
fof(f55792,plain,
composition(converse(sF3),join(sF4,sF1)) = join(sF7,composition(converse(sF3),join(sF4,sF1))),
inference(forward_demodulation,[],[f55776,f1]) ).
fof(f55776,plain,
composition(converse(sF3),join(sF4,sF1)) = join(composition(converse(sF3),join(sF4,sF1)),sF7),
inference(superposition,[],[f24365,f55653]) ).
fof(f55653,plain,
sF7 = composition(sF3,composition(converse(sF3),join(sF4,sF1))),
inference(forward_demodulation,[],[f55652,f2847]) ).
fof(f55652,plain,
composition(sF3,join(sF4,sF1)) = composition(sF3,composition(converse(sF3),join(sF4,sF1))),
inference(forward_demodulation,[],[f55651,f257]) ).
fof(f55651,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = composition(sF3,composition(sF1,join(sF4,sF1))),
inference(forward_demodulation,[],[f55650,f2848]) ).
fof(f55650,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = composition(sF3,composition(join(sF1,converse(sF3)),join(sF4,sF1))),
inference(forward_demodulation,[],[f55649,f5]) ).
fof(f55649,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = composition(composition(sF3,join(sF1,converse(sF3))),join(sF4,sF1)),
inference(forward_demodulation,[],[f55648,f24418]) ).
fof(f24418,plain,
! [X0,X1] : composition(X0,join(sF1,converse(X1))) = join(X0,composition(X0,converse(X1))),
inference(forward_demodulation,[],[f24417,f259]) ).
fof(f24417,plain,
! [X0,X1] : join(X0,composition(X0,converse(X1))) = composition(X0,converse(join(sF1,X1))),
inference(forward_demodulation,[],[f24416,f86]) ).
fof(f86,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[],[f10,f8]) ).
fof(f24416,plain,
! [X0,X1] : converse(composition(join(sF1,X1),converse(X0))) = join(X0,composition(X0,converse(X1))),
inference(forward_demodulation,[],[f24201,f86]) ).
fof(f24201,plain,
! [X0,X1] : converse(composition(join(sF1,X1),converse(X0))) = join(X0,converse(composition(X1,converse(X0)))),
inference(superposition,[],[f81,f685]) ).
fof(f55648,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = composition(join(sF3,composition(sF3,converse(sF3))),join(sF4,sF1)),
inference(forward_demodulation,[],[f55647,f35544]) ).
fof(f35544,plain,
! [X0,X1] : composition(join(sF3,composition(X0,X1)),join(sF4,sF1)) = join(sF7,composition(X0,composition(X1,join(sF4,sF1)))),
inference(superposition,[],[f2641,f5]) ).
fof(f55647,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = join(sF7,composition(sF3,composition(converse(sF3),join(sF4,sF1)))),
inference(forward_demodulation,[],[f55646,f2995]) ).
fof(f55646,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = join(complement(sF8),composition(sF3,composition(converse(sF3),join(sF4,sF1)))),
inference(forward_demodulation,[],[f55645,f2841]) ).
fof(f55645,plain,
composition(sF3,composition(converse(sF3),join(sF4,sF1))) = join(complement(join(sF8,zero)),composition(sF3,composition(converse(sF3),join(sF4,sF1)))),
inference(forward_demodulation,[],[f55644,f2889]) ).
fof(f55644,plain,
complement(complement(composition(sF3,composition(converse(sF3),join(sF4,sF1))))) = join(complement(join(sF8,zero)),complement(complement(composition(sF3,composition(converse(sF3),join(sF4,sF1)))))),
inference(forward_demodulation,[],[f55600,f2577]) ).
fof(f55600,plain,
complement(join(zero,complement(composition(sF3,composition(converse(sF3),join(sF4,sF1)))))) = join(complement(join(sF8,zero)),complement(join(zero,complement(composition(sF3,composition(converse(sF3),join(sF4,sF1))))))),
inference(superposition,[],[f3420,f56]) ).
fof(f3420,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF3,composition(converse(sF3),X0))))) = join(complement(join(sF8,complement(X0))),complement(join(complement(X0),complement(composition(sF3,composition(converse(sF3),X0)))))),
inference(forward_demodulation,[],[f3419,f35]) ).
fof(f3419,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF3,composition(converse(sF3),X0))))) = join(complement(join(complement(sF7),complement(X0))),complement(join(complement(X0),complement(composition(sF3,composition(converse(sF3),X0)))))),
inference(forward_demodulation,[],[f3418,f2889]) ).
fof(f3418,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF3,complement(complement(composition(converse(sF3),X0))))))) = join(complement(join(complement(sF7),complement(X0))),complement(join(complement(X0),complement(composition(sF3,complement(complement(composition(converse(sF3),X0)))))))),
inference(forward_demodulation,[],[f3417,f2577]) ).
fof(f3417,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF3,complement(join(zero,complement(composition(converse(sF3),X0)))))))) = join(complement(join(complement(sF7),complement(X0))),complement(join(complement(X0),complement(composition(sF3,complement(join(zero,complement(composition(converse(sF3),X0))))))))),
inference(forward_demodulation,[],[f3416,f56]) ).
fof(f3416,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF3,complement(join(complement(join(sF4,sF1)),complement(composition(converse(sF3),X0)))))))) = join(complement(join(complement(sF7),complement(X0))),complement(join(complement(X0),complement(composition(sF3,complement(join(complement(join(sF4,sF1)),complement(composition(converse(sF3),X0))))))))),
inference(forward_demodulation,[],[f3359,f1]) ).
fof(f3359,plain,
! [X0] : complement(join(complement(composition(sF3,complement(join(complement(join(sF4,sF1)),complement(composition(converse(sF3),X0)))))),complement(X0))) = join(complement(join(complement(sF7),complement(X0))),complement(join(complement(composition(sF3,complement(join(complement(join(sF4,sF1)),complement(composition(converse(sF3),X0)))))),complement(X0)))),
inference(superposition,[],[f22,f2847]) ).
fof(f55967,plain,
converse(sF10) = join(sF5,converse(sF7)),
inference(forward_demodulation,[],[f55951,f5755]) ).
fof(f5755,plain,
converse(sF10) = join(sF4,converse(sF7)),
inference(superposition,[],[f3215,f2750]) ).
fof(f2750,plain,
sF10 = join(sF4,sF7),
inference(backward_demodulation,[],[f67,f2739]) ).
fof(f2739,plain,
! [X0] : join(X0,sF9) = join(X0,sF7),
inference(forward_demodulation,[],[f2738,f2736]) ).
fof(f2736,plain,
! [X0] : join(X0,sF7) = join(X0,join(sF7,sF7)),
inference(forward_demodulation,[],[f2735,f2]) ).
fof(f2735,plain,
! [X0] : join(X0,sF7) = join(join(X0,sF7),sF7),
inference(forward_demodulation,[],[f2699,f2603]) ).
fof(f2699,plain,
! [X0] : join(X0,sF7) = join(sF9,join(X0,sF7)),
inference(backward_demodulation,[],[f1590,f2603]) ).
fof(f1590,plain,
! [X0] : join(sF9,X0) = join(sF9,join(sF9,X0)),
inference(superposition,[],[f417,f1513]) ).
fof(f2738,plain,
! [X0] : join(X0,sF9) = join(X0,join(sF7,sF7)),
inference(forward_demodulation,[],[f2737,f2]) ).
fof(f2737,plain,
! [X0] : join(X0,sF9) = join(join(X0,sF7),sF7),
inference(forward_demodulation,[],[f2700,f2603]) ).
fof(f2700,plain,
! [X0] : join(X0,sF9) = join(sF9,join(X0,sF7)),
inference(backward_demodulation,[],[f1591,f2603]) ).
fof(f1591,plain,
! [X0] : join(X0,sF9) = join(sF9,join(sF9,X0)),
inference(superposition,[],[f436,f1513]) ).
fof(f3215,plain,
! [X0] : converse(join(sF4,X0)) = join(sF4,converse(X0)),
inference(superposition,[],[f9,f3114]) ).
fof(f55951,plain,
join(sF4,converse(sF7)) = join(sF5,converse(sF7)),
inference(superposition,[],[f428,f55942]) ).
fof(f55942,plain,
converse(sF7) = join(sF3,converse(sF7)),
inference(forward_demodulation,[],[f55927,f55890]) ).
fof(f55890,plain,
! [X0] : converse(sF7) = composition(join(X0,complement(converse(sF8))),sF3),
inference(backward_demodulation,[],[f6951,f55885]) ).
fof(f6951,plain,
! [X0] : composition(join(X0,complement(converse(sF8))),sF3) = composition(join(sF4,sF1),sF3),
inference(superposition,[],[f3326,f4281]) ).
fof(f4281,plain,
! [X0,X1] : join(sF4,sF1) = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f752,f4276]) ).
fof(f752,plain,
! [X0,X1] : join(sF4,join(sF1,X1)) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f751,f2]) ).
fof(f751,plain,
! [X0,X1] : join(join(sF4,sF1),X1) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f708,f436]) ).
fof(f708,plain,
! [X0,X1] : join(join(sF4,sF1),X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f417,f57]) ).
fof(f3326,plain,
! [X0] : composition(X0,sF3) = composition(join(converse(sF8),X0),sF3),
inference(forward_demodulation,[],[f3321,f2577]) ).
fof(f3321,plain,
! [X0] : composition(join(converse(sF8),X0),sF3) = join(zero,composition(X0,sF3)),
inference(superposition,[],[f7,f3266]) ).
fof(f3266,plain,
zero = composition(converse(sF8),sF3),
inference(backward_demodulation,[],[f3088,f3244]) ).
fof(f3244,plain,
zero = converse(zero),
inference(superposition,[],[f3086,f2577]) ).
fof(f3086,plain,
! [X0] : join(X0,converse(zero)) = X0,
inference(forward_demodulation,[],[f3082,f8]) ).
fof(f3082,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(superposition,[],[f91,f2577]) ).
fof(f3088,plain,
converse(zero) = composition(converse(sF8),sF3),
inference(superposition,[],[f87,f2906]) ).
fof(f55927,plain,
join(sF3,converse(sF7)) = composition(join(sF1,complement(converse(sF8))),sF3),
inference(superposition,[],[f685,f55888]) ).
fof(f55888,plain,
converse(sF7) = composition(complement(converse(sF8)),sF3),
inference(backward_demodulation,[],[f6953,f55885]) ).
fof(f6953,plain,
composition(join(sF4,sF1),sF3) = composition(complement(converse(sF8)),sF3),
inference(superposition,[],[f3326,f57]) ).
fof(f99942,plain,
join(sF4,complement(converse(sF10))) = join(sF4,complement(composition(sF5,sF3))),
inference(backward_demodulation,[],[f91637,f99444]) ).
fof(f91637,plain,
join(sF4,complement(converse(sF7))) = join(sF4,complement(converse(sF10))),
inference(superposition,[],[f32466,f5755]) ).
fof(f99740,plain,
composition(converse(sF3),sF3) = join(composition(converse(sF3),sF3),complement(join(sF4,complement(composition(sF5,sF3))))),
inference(backward_demodulation,[],[f80604,f99444]) ).
fof(f80604,plain,
composition(converse(sF3),sF3) = join(composition(converse(sF3),sF3),complement(join(sF4,complement(converse(sF7))))),
inference(forward_demodulation,[],[f80603,f1]) ).
fof(f80603,plain,
composition(converse(sF3),sF3) = join(complement(join(sF4,complement(converse(sF7)))),composition(converse(sF3),sF3)),
inference(forward_demodulation,[],[f80602,f2889]) ).
fof(f80602,plain,
composition(complement(complement(converse(sF3))),sF3) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(complement(converse(sF3))),sF3)),
inference(forward_demodulation,[],[f80601,f2577]) ).
fof(f80601,plain,
composition(complement(join(zero,complement(converse(sF3)))),sF3) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(zero,complement(converse(sF3)))),sF3)),
inference(forward_demodulation,[],[f80600,f2889]) ).
fof(f80600,plain,
composition(complement(join(zero,complement(converse(sF3)))),complement(complement(sF3))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(zero,complement(converse(sF3)))),complement(complement(sF3)))),
inference(forward_demodulation,[],[f80599,f2577]) ).
fof(f80599,plain,
composition(complement(join(zero,complement(converse(sF3)))),complement(join(zero,complement(sF3)))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(zero,complement(converse(sF3)))),complement(join(zero,complement(sF3))))),
inference(forward_demodulation,[],[f80598,f1]) ).
fof(f80598,plain,
composition(complement(join(zero,complement(converse(sF3)))),complement(join(complement(sF3),zero))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(zero,complement(converse(sF3)))),complement(join(complement(sF3),zero)))),
inference(forward_demodulation,[],[f80597,f56]) ).
fof(f80597,plain,
composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(join(sF4,sF1))))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(join(sF4,sF1)))))),
inference(forward_demodulation,[],[f80596,f1]) ).
fof(f80596,plain,
composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(join(sF1,sF4))))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(join(sF1,sF4)))))),
inference(forward_demodulation,[],[f80595,f3114]) ).
fof(f80595,plain,
composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(join(sF1,converse(sF4)))))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(join(sF1,converse(sF4))))))),
inference(forward_demodulation,[],[f80323,f268]) ).
fof(f80323,plain,
composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(converse(join(sF4,sF1)))))) = join(complement(join(sF4,complement(converse(sF7)))),composition(complement(join(complement(join(sF4,sF1)),complement(converse(sF3)))),complement(join(complement(sF3),complement(converse(join(sF4,sF1))))))),
inference(superposition,[],[f3954,f55885]) ).
fof(f3954,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(X1)))),complement(join(complement(X1),complement(converse(X0))))) = join(complement(join(sF4,complement(composition(X0,X1)))),composition(complement(join(complement(X0),complement(converse(X1)))),complement(join(complement(X1),complement(converse(X0)))))),
inference(forward_demodulation,[],[f3953,f1]) ).
fof(f3953,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(X1)))),complement(join(complement(X1),complement(converse(X0))))) = join(complement(join(complement(composition(X0,X1)),sF4)),composition(complement(join(complement(X0),complement(converse(X1)))),complement(join(complement(X1),complement(converse(X0)))))),
inference(forward_demodulation,[],[f3952,f257]) ).
fof(f3952,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(sF1,converse(X1))))),complement(join(complement(X1),complement(converse(X0))))) = join(complement(join(complement(composition(X0,X1)),sF4)),composition(complement(join(complement(X0),complement(composition(sF1,converse(X1))))),complement(join(complement(X1),complement(converse(X0)))))),
inference(forward_demodulation,[],[f3859,f42]) ).
fof(f3859,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(sF1,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),sF1))))) = join(complement(join(complement(composition(X0,X1)),sF4)),composition(complement(join(complement(X0),complement(composition(sF1,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),sF1)))))),
inference(superposition,[],[f20,f41]) ).
fof(f20,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f14,f4,f4,f4,f4,f4]) ).
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(f62033,plain,
complement(join(sF4,complement(composition(converse(sF3),sF3)))) = join(complement(join(sF4,sF8)),complement(join(sF4,complement(composition(converse(sF3),sF3))))),
inference(forward_demodulation,[],[f62032,f35]) ).
fof(f62032,plain,
complement(join(sF4,complement(composition(converse(sF3),sF3)))) = join(complement(join(sF4,complement(sF7))),complement(join(sF4,complement(composition(converse(sF3),sF3))))),
inference(forward_demodulation,[],[f62031,f29]) ).
fof(f62031,plain,
complement(join(sF4,complement(composition(converse(sF3),complement(sF2))))) = join(complement(join(sF4,complement(sF7))),complement(join(sF4,complement(composition(converse(sF3),complement(sF2)))))),
inference(forward_demodulation,[],[f62030,f27088]) ).
fof(f27088,plain,
! [X0] : sF2 = join(sF2,complement(join(X0,sF10))),
inference(superposition,[],[f10899,f25898]) ).
fof(f25898,plain,
! [X0] : join(X0,sF10) = join(sF3,join(sF10,X0)),
inference(backward_demodulation,[],[f3333,f25896]) ).
fof(f25896,plain,
sF10 = join(sF5,sF7),
inference(backward_demodulation,[],[f2751,f25895]) ).
fof(f25895,plain,
sF10 = join(sF3,sF10),
inference(forward_demodulation,[],[f25875,f1]) ).
fof(f25875,plain,
sF10 = join(sF10,sF3),
inference(superposition,[],[f13802,f25643]) ).
fof(f13802,plain,
! [X0] : sF10 = join(sF10,complement(join(X0,sF8))),
inference(superposition,[],[f13793,f9943]) ).
fof(f9943,plain,
! [X0] : join(X0,sF8) = join(sF8,join(X0,sF11)),
inference(superposition,[],[f9567,f1]) ).
fof(f9567,plain,
! [X0] : join(X0,sF8) = join(sF8,join(sF11,X0)),
inference(superposition,[],[f436,f9561]) ).
fof(f9561,plain,
sF8 = join(sF8,sF11),
inference(forward_demodulation,[],[f9556,f1]) ).
fof(f9556,plain,
sF8 = join(sF11,sF8),
inference(superposition,[],[f3055,f9531]) ).
fof(f9531,plain,
sF8 = join(sF11,complement(join(sF1,sF7))),
inference(forward_demodulation,[],[f9530,f38]) ).
fof(f9530,plain,
sF8 = join(complement(sF10),complement(join(sF1,sF7))),
inference(forward_demodulation,[],[f9529,f1]) ).
fof(f9529,plain,
sF8 = join(complement(sF10),complement(join(sF7,sF1))),
inference(forward_demodulation,[],[f9511,f2627]) ).
fof(f9511,plain,
sF8 = join(complement(sF10),complement(join(sF7,complement(sF4)))),
inference(superposition,[],[f2763,f2750]) ).
fof(f2763,plain,
! [X0] : sF8 = join(complement(join(X0,sF7)),complement(join(sF7,complement(X0)))),
inference(forward_demodulation,[],[f2762,f1]) ).
fof(f2762,plain,
! [X0] : sF8 = join(complement(join(X0,sF7)),complement(join(complement(X0),sF7))),
inference(forward_demodulation,[],[f2701,f2603]) ).
fof(f2701,plain,
! [X0] : sF8 = join(complement(join(X0,sF7)),complement(join(sF9,complement(X0)))),
inference(backward_demodulation,[],[f1830,f2603]) ).
fof(f1830,plain,
! [X0] : sF8 = join(complement(join(sF9,X0)),complement(join(sF9,complement(X0)))),
inference(forward_demodulation,[],[f1781,f1]) ).
fof(f1781,plain,
! [X0] : sF8 = join(complement(join(sF9,complement(X0))),complement(join(sF9,X0))),
inference(superposition,[],[f3,f36]) ).
fof(f13793,plain,
! [X0] : sF10 = join(sF10,complement(join(sF8,X0))),
inference(forward_demodulation,[],[f13771,f2750]) ).
fof(f13771,plain,
! [X0] : join(sF4,sF7) = join(sF10,complement(join(sF8,X0))),
inference(superposition,[],[f2843,f13745]) ).
fof(f13745,plain,
! [X0] : sF7 = join(sF7,complement(join(sF8,X0))),
inference(forward_demodulation,[],[f13678,f1]) ).
fof(f13678,plain,
! [X0] : sF7 = join(complement(join(sF8,X0)),sF7),
inference(superposition,[],[f3055,f1829]) ).
fof(f1829,plain,
! [X0] : sF7 = join(complement(join(sF8,X0)),complement(join(sF8,complement(X0)))),
inference(forward_demodulation,[],[f1780,f1]) ).
fof(f1780,plain,
! [X0] : sF7 = join(complement(join(sF8,complement(X0))),complement(join(sF8,X0))),
inference(superposition,[],[f3,f35]) ).
fof(f2751,plain,
join(sF3,sF10) = join(sF5,sF7),
inference(backward_demodulation,[],[f473,f2739]) ).
fof(f473,plain,
join(sF5,sF9) = join(sF3,sF10),
inference(superposition,[],[f427,f67]) ).
fof(f3333,plain,
! [X0] : join(sF3,join(sF10,X0)) = join(X0,join(sF5,sF7)),
inference(superposition,[],[f436,f2751]) ).
fof(f62030,plain,
! [X0] : complement(join(sF4,complement(composition(converse(sF3),complement(join(sF2,complement(join(X0,sF10)))))))) = join(complement(join(sF4,complement(sF7))),complement(join(sF4,complement(composition(converse(sF3),complement(join(sF2,complement(join(X0,sF10))))))))),
inference(forward_demodulation,[],[f62029,f2846]) ).
fof(f62029,plain,
! [X0] : complement(join(sF4,complement(composition(converse(sF3),complement(join(complement(sF3),complement(join(X0,sF10)))))))) = join(complement(join(sF4,complement(sF7))),complement(join(sF4,complement(composition(converse(sF3),complement(join(complement(sF3),complement(join(X0,sF10))))))))),
inference(forward_demodulation,[],[f62028,f1]) ).
fof(f62028,plain,
! [X0] : complement(join(sF4,complement(composition(converse(sF3),complement(join(complement(join(X0,sF10)),complement(sF3))))))) = join(complement(join(sF4,complement(sF7))),complement(join(sF4,complement(composition(converse(sF3),complement(join(complement(join(X0,sF10)),complement(sF3)))))))),
inference(forward_demodulation,[],[f61836,f8]) ).
fof(f61836,plain,
! [X0] : complement(join(sF4,complement(composition(converse(sF3),complement(join(complement(join(X0,sF10)),complement(converse(converse(sF3))))))))) = join(complement(join(sF4,complement(sF7))),complement(join(sF4,complement(composition(converse(sF3),complement(join(complement(join(X0,sF10)),complement(converse(converse(sF3)))))))))),
inference(superposition,[],[f3452,f58438]) ).
fof(f58438,plain,
! [X0] : sF7 = composition(converse(sF3),join(X0,sF10)),
inference(superposition,[],[f58418,f2755]) ).
fof(f2755,plain,
! [X0] : join(X0,sF10) = join(sF7,join(sF10,X0)),
inference(backward_demodulation,[],[f2403,f2750]) ).
fof(f2403,plain,
! [X0] : join(X0,join(sF4,sF7)) = join(sF7,join(sF10,X0)),
inference(superposition,[],[f436,f2388]) ).
fof(f2388,plain,
join(sF7,sF10) = join(sF4,sF7),
inference(forward_demodulation,[],[f2387,f1]) ).
fof(f2387,plain,
join(sF4,sF7) = join(sF10,sF7),
inference(forward_demodulation,[],[f2368,f434]) ).
fof(f434,plain,
! [X0] : join(sF10,X0) = join(sF9,join(sF4,X0)),
inference(superposition,[],[f2,f37]) ).
fof(f2368,plain,
join(sF4,sF7) = join(sF9,join(sF4,sF7)),
inference(superposition,[],[f1699,f1878]) ).
fof(f1699,plain,
! [X0] : join(sF10,X0) = join(sF9,join(sF10,X0)),
inference(backward_demodulation,[],[f558,f1698]) ).
fof(f1698,plain,
! [X0] : join(sF10,X0) = join(sF9,join(X0,sF10)),
inference(forward_demodulation,[],[f1690,f436]) ).
fof(f1690,plain,
! [X0] : join(sF10,X0) = join(sF10,join(sF9,X0)),
inference(superposition,[],[f417,f1644]) ).
fof(f1644,plain,
sF10 = join(sF9,sF10),
inference(forward_demodulation,[],[f1643,f67]) ).
fof(f1643,plain,
join(sF4,sF9) = join(sF9,sF10),
inference(forward_demodulation,[],[f1588,f1]) ).
fof(f1588,plain,
join(sF4,sF9) = join(sF10,sF9),
inference(superposition,[],[f429,f1513]) ).
fof(f558,plain,
! [X0] : join(sF9,join(sF10,X0)) = join(sF9,join(X0,sF10)),
inference(forward_demodulation,[],[f554,f436]) ).
fof(f554,plain,
! [X0] : join(sF10,join(sF9,X0)) = join(sF9,join(sF10,X0)),
inference(superposition,[],[f434,f429]) ).
fof(f58418,plain,
! [X0] : sF7 = composition(converse(sF3),join(sF7,X0)),
inference(forward_demodulation,[],[f58382,f8]) ).
fof(f58382,plain,
! [X0] : converse(converse(sF7)) = composition(converse(sF3),join(sF7,X0)),
inference(superposition,[],[f87,f58160]) ).
fof(f58160,plain,
! [X0] : converse(sF7) = composition(converse(join(sF7,X0)),sF3),
inference(superposition,[],[f57473,f83]) ).
fof(f83,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f57473,plain,
! [X0] : converse(sF7) = composition(join(X0,converse(sF7)),sF3),
inference(forward_demodulation,[],[f57461,f55937]) ).
fof(f55937,plain,
! [X0] : converse(sF7) = join(composition(X0,sF3),converse(sF7)),
inference(forward_demodulation,[],[f55922,f55890]) ).
fof(f55922,plain,
! [X0] : composition(join(X0,complement(converse(sF8))),sF3) = join(composition(X0,sF3),converse(sF7)),
inference(superposition,[],[f7,f55888]) ).
fof(f57461,plain,
! [X0] : join(composition(X0,sF3),converse(sF7)) = composition(join(X0,converse(sF7)),sF3),
inference(superposition,[],[f7,f57429]) ).
fof(f57429,plain,
converse(sF7) = composition(converse(sF7),sF3),
inference(superposition,[],[f87,f57216]) ).
fof(f57216,plain,
sF7 = composition(converse(sF3),sF7),
inference(forward_demodulation,[],[f57215,f257]) ).
fof(f57215,plain,
composition(sF1,sF7) = composition(converse(sF3),sF7),
inference(forward_demodulation,[],[f57214,f2848]) ).
fof(f57214,plain,
composition(converse(sF3),sF7) = composition(join(sF1,converse(sF3)),sF7),
inference(forward_demodulation,[],[f57213,f685]) ).
fof(f57213,plain,
composition(converse(sF3),sF7) = join(sF7,composition(converse(sF3),sF7)),
inference(forward_demodulation,[],[f57212,f2889]) ).
fof(f57212,plain,
composition(converse(sF3),complement(complement(sF7))) = join(sF7,composition(converse(sF3),complement(complement(sF7)))),
inference(forward_demodulation,[],[f57211,f2577]) ).
fof(f57211,plain,
composition(converse(sF3),complement(join(zero,complement(sF7)))) = join(sF7,composition(converse(sF3),complement(join(zero,complement(sF7))))),
inference(forward_demodulation,[],[f57210,f1]) ).
fof(f57210,plain,
composition(converse(sF3),complement(join(complement(sF7),zero))) = join(sF7,composition(converse(sF3),complement(join(complement(sF7),zero)))),
inference(forward_demodulation,[],[f57209,f56]) ).
fof(f57209,plain,
composition(converse(sF3),complement(join(complement(sF7),complement(join(sF4,sF1))))) = join(sF7,composition(converse(sF3),complement(join(complement(sF7),complement(join(sF4,sF1)))))),
inference(forward_demodulation,[],[f57208,f1]) ).
fof(f57208,plain,
composition(converse(sF3),complement(join(complement(join(sF4,sF1)),complement(sF7)))) = join(sF7,composition(converse(sF3),complement(join(complement(join(sF4,sF1)),complement(sF7))))),
inference(forward_demodulation,[],[f57207,f2847]) ).
fof(f57207,plain,
composition(converse(sF3),complement(join(complement(join(sF4,sF1)),complement(composition(sF3,join(sF4,sF1)))))) = join(sF7,composition(converse(sF3),complement(join(complement(join(sF4,sF1)),complement(composition(sF3,join(sF4,sF1))))))),
inference(forward_demodulation,[],[f56795,f8]) ).
fof(f56795,plain,
composition(converse(sF3),complement(join(complement(join(sF4,sF1)),complement(composition(converse(converse(sF3)),join(sF4,sF1)))))) = join(sF7,composition(converse(sF3),complement(join(complement(join(sF4,sF1)),complement(composition(converse(converse(sF3)),join(sF4,sF1))))))),
inference(superposition,[],[f3464,f55794]) ).
fof(f3464,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1)))))) = join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))),
inference(forward_demodulation,[],[f3463,f2889]) ).
fof(f3463,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1)))))) = join(complement(complement(composition(X0,X1))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))),
inference(forward_demodulation,[],[f3462,f2577]) ).
fof(f3462,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1)))))) = join(complement(join(zero,complement(composition(X0,X1)))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))),
inference(forward_demodulation,[],[f3461,f1]) ).
fof(f3461,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1)))))) = join(complement(join(complement(composition(X0,X1)),zero)),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))),
inference(forward_demodulation,[],[f3460,f2889]) ).
fof(f3460,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1)))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))))),
inference(forward_demodulation,[],[f3459,f2577]) ).
fof(f3459,plain,
! [X0,X1] : complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(zero,complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1)))))))))),
inference(forward_demodulation,[],[f3381,f1]) ).
fof(f3381,plain,
! [X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))),zero)) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),join(sF4,sF1))))))),zero))),
inference(superposition,[],[f22,f56]) ).
fof(f3452,plain,
! [X0,X1] : complement(join(sF4,complement(composition(X0,complement(join(complement(X1),complement(converse(X0)))))))) = join(complement(join(sF4,complement(composition(X0,X1)))),complement(join(sF4,complement(composition(X0,complement(join(complement(X1),complement(converse(X0))))))))),
inference(forward_demodulation,[],[f3451,f1]) ).
fof(f3451,plain,
! [X0,X1] : complement(join(sF4,complement(composition(X0,complement(join(complement(X1),complement(converse(X0)))))))) = join(complement(join(complement(composition(X0,X1)),sF4)),complement(join(sF4,complement(composition(X0,complement(join(complement(X1),complement(converse(X0))))))))),
inference(forward_demodulation,[],[f3450,f41]) ).
fof(f3450,plain,
! [X0,X1] : complement(join(complement(sF1),complement(composition(X0,complement(join(complement(X1),complement(converse(X0)))))))) = join(complement(join(complement(composition(X0,X1)),complement(sF1))),complement(join(complement(sF1),complement(composition(X0,complement(join(complement(X1),complement(converse(X0))))))))),
inference(forward_demodulation,[],[f3377,f1]) ).
fof(f3377,plain,
! [X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(converse(X0)))))),complement(sF1))) = join(complement(join(complement(composition(X0,X1)),complement(sF1))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(converse(X0)))))),complement(sF1)))),
inference(superposition,[],[f22,f42]) ).
fof(f25914,plain,
! [X0] : join(X0,sF10) = join(sF5,join(X0,complement(join(sF4,sF8)))),
inference(backward_demodulation,[],[f15353,f25913]) ).
fof(f25913,plain,
! [X0] : join(X0,sF10) = join(sF5,join(sF7,X0)),
inference(backward_demodulation,[],[f3340,f25910]) ).
fof(f25910,plain,
! [X0] : join(X0,sF10) = join(sF3,join(X0,sF10)),
inference(backward_demodulation,[],[f2729,f25909]) ).
fof(f25909,plain,
! [X0] : join(X0,sF10) = join(sF5,join(X0,sF7)),
inference(backward_demodulation,[],[f2690,f25898]) ).
fof(f2690,plain,
! [X0] : join(sF3,join(sF10,X0)) = join(sF5,join(X0,sF7)),
inference(backward_demodulation,[],[f555,f2603]) ).
fof(f555,plain,
! [X0] : join(sF5,join(sF9,X0)) = join(sF3,join(sF10,X0)),
inference(superposition,[],[f427,f429]) ).
fof(f2729,plain,
! [X0] : join(sF3,join(X0,sF10)) = join(sF5,join(X0,sF7)),
inference(backward_demodulation,[],[f2468,f2725]) ).
fof(f2725,plain,
! [X0] : join(sF5,join(X0,sF10)) = join(sF5,join(X0,sF7)),
inference(backward_demodulation,[],[f1730,f2690]) ).
fof(f1730,plain,
! [X0] : join(sF3,join(sF10,X0)) = join(sF5,join(X0,sF10)),
inference(forward_demodulation,[],[f1729,f2]) ).
fof(f1729,plain,
! [X0] : join(join(sF3,sF10),X0) = join(sF5,join(X0,sF10)),
inference(forward_demodulation,[],[f1726,f436]) ).
fof(f1726,plain,
! [X0] : join(join(sF3,sF10),X0) = join(sF10,join(sF5,X0)),
inference(superposition,[],[f417,f1653]) ).
fof(f1653,plain,
join(sF3,sF10) = join(sF5,sF10),
inference(superposition,[],[f427,f1530]) ).
fof(f1530,plain,
sF10 = join(sF4,sF10),
inference(forward_demodulation,[],[f1529,f37]) ).
fof(f1529,plain,
join(sF9,sF4) = join(sF4,sF10),
inference(forward_demodulation,[],[f1524,f1]) ).
fof(f1524,plain,
join(sF9,sF4) = join(sF10,sF4),
inference(superposition,[],[f434,f1509]) ).
fof(f2468,plain,
! [X0] : join(sF3,join(X0,sF10)) = join(sF5,join(X0,sF10)),
inference(superposition,[],[f427,f2241]) ).
fof(f2241,plain,
! [X0] : join(X0,sF10) = join(sF4,join(X0,sF10)),
inference(superposition,[],[f1659,f1]) ).
fof(f3340,plain,
! [X0] : join(sF3,join(X0,sF10)) = join(sF5,join(sF7,X0)),
inference(forward_demodulation,[],[f3339,f436]) ).
fof(f3339,plain,
! [X0] : join(sF10,join(sF3,X0)) = join(sF5,join(sF7,X0)),
inference(forward_demodulation,[],[f3332,f2]) ).
fof(f3332,plain,
! [X0] : join(sF10,join(sF3,X0)) = join(join(sF5,sF7),X0),
inference(superposition,[],[f417,f2751]) ).
fof(f15353,plain,
! [X0] : join(sF5,join(sF7,X0)) = join(sF5,join(X0,complement(join(sF4,sF8)))),
inference(forward_demodulation,[],[f15352,f2]) ).
fof(f15352,plain,
! [X0] : join(join(sF5,sF7),X0) = join(sF5,join(X0,complement(join(sF4,sF8)))),
inference(forward_demodulation,[],[f15342,f436]) ).
fof(f15342,plain,
! [X0] : join(join(sF5,sF7),X0) = join(complement(join(sF4,sF8)),join(sF5,X0)),
inference(superposition,[],[f417,f15047]) ).
fof(f15047,plain,
join(sF5,sF7) = join(sF5,complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f15038,f2751]) ).
fof(f15038,plain,
join(sF3,sF10) = join(sF5,complement(join(sF4,sF8))),
inference(superposition,[],[f427,f15002]) ).
fof(f15002,plain,
sF10 = join(sF4,complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f15001,f41]) ).
fof(f15001,plain,
sF10 = join(complement(sF1),complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f15000,f9567]) ).
fof(f15000,plain,
sF10 = join(complement(sF1),complement(join(sF8,join(sF11,sF4)))),
inference(forward_demodulation,[],[f14999,f436]) ).
fof(f14999,plain,
sF10 = join(complement(sF1),complement(join(sF11,join(sF4,sF8)))),
inference(forward_demodulation,[],[f14975,f2889]) ).
fof(f14975,plain,
sF10 = join(complement(sF1),complement(join(sF11,complement(complement(join(sF4,sF8)))))),
inference(superposition,[],[f1831,f8595]) ).
fof(f8595,plain,
sF1 = join(sF11,complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f8594,f38]) ).
fof(f8594,plain,
sF1 = join(complement(sF10),complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f8548,f35]) ).
fof(f8548,plain,
sF1 = join(complement(sF10),complement(join(sF4,complement(sF7)))),
inference(superposition,[],[f1826,f2750]) ).
fof(f1831,plain,
! [X0] : sF10 = join(complement(join(sF11,X0)),complement(join(sF11,complement(X0)))),
inference(forward_demodulation,[],[f1782,f1]) ).
fof(f1782,plain,
! [X0] : sF10 = join(complement(join(sF11,complement(X0))),complement(join(sF11,X0))),
inference(superposition,[],[f3,f38]) ).
fof(f1655,plain,
! [X0] : join(X0,sF10) = join(sF4,join(sF10,X0)),
inference(superposition,[],[f436,f1530]) ).
fof(f1659,plain,
! [X0] : join(sF10,X0) = join(sF4,join(sF10,X0)),
inference(backward_demodulation,[],[f557,f1658]) ).
fof(f1658,plain,
! [X0] : join(sF10,X0) = join(sF4,join(X0,sF10)),
inference(forward_demodulation,[],[f1654,f436]) ).
fof(f1654,plain,
! [X0] : join(sF10,X0) = join(sF10,join(sF4,X0)),
inference(superposition,[],[f417,f1530]) ).
fof(f557,plain,
! [X0] : join(sF4,join(sF10,X0)) = join(sF4,join(X0,sF10)),
inference(forward_demodulation,[],[f550,f436]) ).
fof(f550,plain,
! [X0] : join(sF10,join(sF4,X0)) = join(sF4,join(sF10,X0)),
inference(superposition,[],[f429,f434]) ).
fof(f18755,plain,
! [X2,X0,X1] : sF10 = join(sF10,complement(join(X2,join(X1,join(X0,sF1))))),
inference(superposition,[],[f15883,f417]) ).
fof(f15883,plain,
! [X0,X1] : sF10 = join(sF10,complement(join(X0,join(X1,sF1)))),
inference(superposition,[],[f15764,f436]) ).
fof(f15764,plain,
! [X0] : sF10 = join(sF10,complement(join(sF1,X0))),
inference(superposition,[],[f15713,f1]) ).
fof(f15713,plain,
! [X0] : sF10 = join(sF10,complement(join(X0,sF1))),
inference(superposition,[],[f15079,f8700]) ).
fof(f8700,plain,
sF1 = join(sF1,sF11),
inference(forward_demodulation,[],[f8695,f1]) ).
fof(f8695,plain,
sF1 = join(sF11,sF1),
inference(superposition,[],[f3055,f8595]) ).
fof(f15079,plain,
! [X0,X1] : sF10 = join(sF10,complement(join(X0,join(X1,sF11)))),
inference(superposition,[],[f15031,f436]) ).
fof(f15031,plain,
! [X0] : sF10 = join(sF10,complement(join(sF11,X0))),
inference(forward_demodulation,[],[f14994,f1]) ).
fof(f14994,plain,
! [X0] : sF10 = join(complement(join(sF11,X0)),sF10),
inference(superposition,[],[f3055,f1831]) ).
fof(f38,plain,
complement(sF10) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f39,plain,
~ sP0(sF11),
inference(definition_folding,[],[f24,f38,f37,f30,f36,f35,f34]) ).
fof(f24,plain,
~ sP0(complement(join(complement(complement(composition(sk1,top))),complement(one)))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f33,plain,
sP0(sF6),
inference(definition_folding,[],[f25,f32,f31,f30,f29,f28]) ).
fof(f25,plain,
sP0(complement(join(complement(complement(sk1)),complement(one)))),
inference(inequality_splitting,[],[f19,f24]) ).
fof(f19,plain,
complement(join(complement(complement(composition(sk1,top))),complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(definition_unfolding,[],[f18,f4,f4]) ).
fof(f18,axiom,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL027-3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jun 23 05:05:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.40 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (9697)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)
% 0.22/0.42 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9693)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)
% 0.22/0.42 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9695)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)
% 0.22/0.42 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9696)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (3000ds/143Mi)
% 0.22/0.42 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9698)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)
% 0.22/0.42 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9699)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)
% 0.22/0.42 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9694)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)
% 0.22/0.44 % (9697)Instruction limit reached!
% 0.22/0.44 % (9697)------------------------------
% 0.22/0.44 % (9697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (9697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (9697)Termination reason: Time limit
% 0.22/0.44 % (9697)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (9697)Memory used [KB]: 2474
% 0.22/0.44 % (9697)Time elapsed: 0.045 s
% 0.22/0.44 % (9697)Instructions burned: 131 (million)
% 0.22/0.47 % (9692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (9700)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 (2999ds/204Mi)
% 0.22/0.50 % (9695)Instruction limit reached!
% 0.22/0.50 % (9695)------------------------------
% 0.22/0.50 % (9695)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (9695)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (9695)Termination reason: Time limit
% 0.22/0.50 % (9695)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (9695)Memory used [KB]: 2700
% 0.22/0.50 % (9695)Time elapsed: 0.078 s
% 0.22/0.50 % (9695)Instructions burned: 126 (million)
% 0.22/0.50 % (9696)Instruction limit reached!
% 0.22/0.50 % (9696)------------------------------
% 0.22/0.50 % (9696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (9696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (9696)Termination reason: Time limit
% 0.22/0.50 % (9696)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (9696)Memory used [KB]: 1664
% 0.22/0.50 % (9696)Time elapsed: 0.081 s
% 0.22/0.50 % (9696)Instructions burned: 144 (million)
% 1.17/0.52 % (9699)Instruction limit reached!
% 1.17/0.52 % (9699)------------------------------
% 1.17/0.52 % (9699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.17/0.52 % (9699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.17/0.52 % (9699)Termination reason: Time limit
% 1.17/0.52 % (9699)Termination phase: Saturation
% 1.17/0.52
% 1.17/0.52 % (9699)Memory used [KB]: 2479
% 1.17/0.52 % (9699)Time elapsed: 0.105 s
% 1.17/0.52 % (9699)Instructions burned: 214 (million)
% 1.17/0.53 % (9692)Running in auto input_syntax mode. Trying TPTP
% 1.17/0.53 % (9701)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)
% 1.36/0.53 % (9692)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.53 % (9702)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)
% 1.36/0.54 % (9700)Instruction limit reached!
% 1.36/0.54 % (9700)------------------------------
% 1.36/0.54 % (9700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.54 % (9700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.54 % (9700)Termination reason: Time limit
% 1.36/0.54 % (9700)Termination phase: Saturation
% 1.36/0.54
% 1.36/0.54 % (9700)Memory used [KB]: 2654
% 1.36/0.54 % (9700)Time elapsed: 0.071 s
% 1.36/0.54 % (9700)Instructions burned: 204 (million)
% 1.36/0.56 % (9692)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.56 % (9703)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)
% 1.36/0.58 % (9692)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.58 % (9704)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2998ds/2789Mi)
% 1.83/0.67 % (9702)Instruction limit reached!
% 1.83/0.67 % (9702)------------------------------
% 1.83/0.67 % (9702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.67 % (9702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.67 % (9702)Termination reason: Time limit
% 1.83/0.67 % (9702)Termination phase: Saturation
% 1.83/0.67
% 1.83/0.67 % (9702)Memory used [KB]: 5779
% 1.83/0.67 % (9702)Time elapsed: 0.132 s
% 1.83/0.67 % (9702)Instructions burned: 365 (million)
% 1.83/0.68 % (9703)Instruction limit reached!
% 1.83/0.68 % (9703)------------------------------
% 1.83/0.68 % (9703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.68 % (9703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.68 % (9703)Termination reason: Time limit
% 1.83/0.68 % (9703)Termination phase: Saturation
% 1.83/0.68
% 1.83/0.68 % (9703)Memory used [KB]: 5047
% 1.83/0.68 % (9703)Time elapsed: 0.127 s
% 1.83/0.68 % (9703)Instructions burned: 391 (million)
% 2.30/0.70 % (9701)Instruction limit reached!
% 2.30/0.70 % (9701)------------------------------
% 2.30/0.70 % (9701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.70 % (9701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.70 % (9701)Termination reason: Time limit
% 2.30/0.70 % (9701)Termination phase: Saturation
% 2.30/0.70
% 2.30/0.70 % (9701)Memory used [KB]: 6513
% 2.30/0.70 % (9701)Time elapsed: 0.165 s
% 2.30/0.70 % (9701)Instructions burned: 444 (million)
% 2.30/0.70 % (9692)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.70 % (9705)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)
% 2.30/0.72 % (9698)Instruction limit reached!
% 2.30/0.72 % (9698)------------------------------
% 2.30/0.72 % (9698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.72 % (9698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.72 % (9698)Termination reason: Time limit
% 2.30/0.72 % (9698)Termination phase: Saturation
% 2.30/0.72
% 2.30/0.72 % (9698)Memory used [KB]: 9453
% 2.30/0.72 % (9698)Time elapsed: 0.297 s
% 2.30/0.72 % (9698)Instructions burned: 737 (million)
% 2.30/0.72 % (9692)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.72 % (9709)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)
% 2.30/0.73 % (9692)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.73 % (9710)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)
% 2.30/0.75 % (9692)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.75 % (9711)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)
% 2.65/0.87 % (9710)Instruction limit reached!
% 2.65/0.87 % (9710)------------------------------
% 2.65/0.87 % (9710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.65/0.87 % (9710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.65/0.87 % (9710)Termination reason: Time limit
% 2.65/0.87 % (9710)Termination phase: Saturation
% 2.65/0.87
% 2.65/0.87 % (9710)Memory used [KB]: 2947
% 2.65/0.87 % (9710)Time elapsed: 0.143 s
% 2.65/0.87 % (9710)Instructions burned: 522 (million)
% 2.65/0.91 % (9692)Running in auto input_syntax mode. Trying TPTP
% 2.65/0.91 % (9734)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)
% 3.14/1.04 % (9705)Instruction limit reached!
% 3.14/1.04 % (9705)------------------------------
% 3.14/1.04 % (9705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.14/1.04 % (9705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.14/1.04 % (9705)Termination reason: Time limit
% 3.14/1.04 % (9705)Termination phase: Saturation
% 3.14/1.04
% 3.14/1.04 % (9705)Memory used [KB]: 9136
% 3.14/1.04 % (9705)Time elapsed: 0.337 s
% 3.14/1.04 % (9705)Instructions burned: 975 (million)
% 3.65/1.07 % (9692)Running in auto input_syntax mode. Trying TPTP
% 3.65/1.07 % (9780)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)
% 5.18/1.11 % (9734)Instruction limit reached!
% 5.18/1.11 % (9734)------------------------------
% 5.18/1.11 % (9734)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.18/1.11 % (9734)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.18/1.11 % (9734)Termination reason: Time limit
% 5.18/1.11 % (9734)Termination phase: Saturation
% 5.18/1.11
% 5.18/1.11 % (9734)Memory used [KB]: 6877
% 5.18/1.11 % (9734)Time elapsed: 0.225 s
% 5.18/1.11 % (9734)Instructions burned: 589 (million)
% 5.47/1.14 % (9692)Running in auto input_syntax mode. Trying TPTP
% 5.47/1.14 % (9828)lrs+10_1:1_sil=4000:sp=occurrence:i=1397:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2992ds/1397Mi)
% 6.13/1.24 % (9711)Instruction limit reached!
% 6.13/1.24 % (9711)------------------------------
% 6.13/1.24 % (9711)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.13/1.24 % (9711)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.13/1.24 % (9711)Termination reason: Time limit
% 6.13/1.24 % (9711)Termination phase: Saturation
% 6.13/1.24
% 6.13/1.24 % (9711)Memory used [KB]: 17209
% 6.13/1.24 % (9711)Time elapsed: 0.494 s
% 6.13/1.24 % (9711)Instructions burned: 1382 (million)
% 6.34/1.28 % (9692)Running in auto input_syntax mode. Trying TPTP
% 6.34/1.28 % (9867)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)
% 6.34/1.28 % (9780)Instruction limit reached!
% 6.34/1.28 % (9780)------------------------------
% 6.34/1.28 % (9780)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.34/1.28 % (9780)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.34/1.28 % (9780)Termination reason: Time limit
% 6.34/1.28 % (9780)Termination phase: Saturation
% 6.34/1.28
% 6.34/1.28 % (9780)Memory used [KB]: 5822
% 6.34/1.28 % (9780)Time elapsed: 0.234 s
% 6.34/1.28 % (9780)Instructions burned: 659 (million)
% 6.34/1.32 % (9692)Running in auto input_syntax mode. Trying TPTP
% 6.34/1.32 % (9868)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)
% 7.12/1.52 % (9704)Instruction limit reached!
% 7.12/1.52 % (9704)------------------------------
% 7.12/1.52 % (9704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.12/1.52 % (9704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.12/1.52 % (9704)Termination reason: Time limit
% 7.12/1.52 % (9704)Termination phase: Saturation
% 7.12/1.52
% 7.12/1.52 % (9704)Memory used [KB]: 28736
% 7.12/1.52 % (9704)Time elapsed: 0.946 s
% 7.12/1.52 % (9704)Instructions burned: 2789 (million)
% 7.41/1.56 % (9692)Running in auto input_syntax mode. Trying TPTP
% 7.41/1.56 % (9908)lrs+10_1:25_to=lpo:drc=encompass:sil=2000:fde=none:sp=const_min:fd=preordered:i=1093_0 on theBenchmark for (2988ds/1093Mi)
% 7.54/1.59 % (9867)Instruction limit reached!
% 7.54/1.59 % (9867)------------------------------
% 7.54/1.59 % (9867)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.54/1.59 % (9867)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.54/1.59 % (9867)Termination reason: Time limit
% 7.54/1.59 % (9867)Termination phase: Saturation
% 7.54/1.59
% 7.54/1.59 % (9867)Memory used [KB]: 8991
% 7.54/1.59 % (9867)Time elapsed: 0.311 s
% 7.54/1.59 % (9867)Instructions burned: 857 (million)
% 7.54/1.59 % (9828)Instruction limit reached!
% 7.54/1.59 % (9828)------------------------------
% 7.54/1.59 % (9828)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.54/1.59 % (9828)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.54/1.59 % (9828)Termination reason: Time limit
% 7.54/1.59 % (9828)Termination phase: Saturation
% 7.54/1.59
% 7.54/1.59 % (9828)Memory used [KB]: 10509
% 7.54/1.59 % (9828)Time elapsed: 0.452 s
% 7.54/1.59 % (9828)Instructions burned: 1399 (million)
% 7.54/1.62 % (9692)Running in auto input_syntax mode. Trying TPTP
% 7.54/1.62 % (9909)ott+10_1:2_sil=256000:tgt=ground:sp=reverse_frequency:spb=goal:i=1333:kws=precedence:irc=lazy_0 on theBenchmark for (2987ds/1333Mi)
% 7.54/1.62 % (9868)Instruction limit reached!
% 7.54/1.62 % (9868)------------------------------
% 7.54/1.62 % (9868)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.54/1.62 % (9868)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.54/1.62 % (9868)Termination reason: Time limit
% 7.54/1.62 % (9868)Termination phase: Saturation
% 7.54/1.62
% 7.54/1.62 % (9868)Memory used [KB]: 11362
% 7.54/1.62 % (9868)Time elapsed: 0.308 s
% 7.54/1.62 % (9868)Instructions burned: 918 (million)
% 7.54/1.63 % (9692)Running in auto input_syntax mode. Trying TPTP
% 7.54/1.63 % (9910)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 (2987ds/23534Mi)
% 9.35/1.68 % (9692)Running in auto input_syntax mode. Trying TPTP
% 9.35/1.68 % (9911)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)
% 10.60/1.91 % (9908)Instruction limit reached!
% 10.60/1.91 % (9908)------------------------------
% 10.60/1.91 % (9908)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.60/1.91 % (9908)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.60/1.91 % (9908)Termination reason: Time limit
% 10.60/1.91 % (9908)Termination phase: Saturation
% 10.60/1.91
% 10.60/1.91 % (9908)Memory used [KB]: 7474
% 10.60/1.91 % (9908)Time elapsed: 0.354 s
% 10.60/1.91 % (9908)Instructions burned: 1094 (million)
% 11.14/1.95 % (9692)Running in auto input_syntax mode. Trying TPTP
% 11.14/1.95 % (9912)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 (2984ds/1762Mi)
% 11.86/2.09 % (9909)Instruction limit reached!
% 11.86/2.09 % (9909)------------------------------
% 11.86/2.09 % (9909)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.86/2.09 % (9909)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.86/2.09 % (9909)Termination reason: Time limit
% 11.86/2.09 % (9909)Termination phase: Saturation
% 11.86/2.09
% 11.86/2.09 % (9909)Memory used [KB]: 12885
% 11.86/2.09 % (9909)Time elapsed: 0.471 s
% 11.86/2.09 % (9909)Instructions burned: 1333 (million)
% 12.23/2.13 % (9692)Running in auto input_syntax mode. Trying TPTP
% 12.23/2.13 % (9913)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 (2982ds/3083Mi)
% 13.61/2.30 % (9911)Instruction limit reached!
% 13.61/2.30 % (9911)------------------------------
% 13.61/2.30 % (9911)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.61/2.30 % (9911)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.61/2.30 % (9911)Termination reason: Time limit
% 13.61/2.30 % (9911)Termination phase: Saturation
% 13.61/2.30
% 13.61/2.30 % (9911)Memory used [KB]: 21964
% 13.61/2.30 % (9911)Time elapsed: 0.623 s
% 13.61/2.30 % (9911)Instructions burned: 1724 (million)
% 13.99/2.35 % (9692)Running in auto input_syntax mode. Trying TPTP
% 13.99/2.35 % (9914)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 (2980ds/4105Mi)
% 14.35/2.41 % (9912)Instruction limit reached!
% 14.35/2.41 % (9912)------------------------------
% 14.35/2.41 % (9912)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.35/2.41 % (9912)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.35/2.41 % (9912)Termination reason: Time limit
% 14.35/2.41 % (9912)Termination phase: Saturation
% 14.35/2.41
% 14.35/2.41 % (9912)Memory used [KB]: 5638
% 14.35/2.41 % (9912)Time elapsed: 0.465 s
% 14.35/2.41 % (9912)Instructions burned: 1763 (million)
% 14.35/2.45 % (9692)Running in auto input_syntax mode. Trying TPTP
% 14.35/2.45 % (9915)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 (2979ds/9762Mi)
% 17.68/2.86 % (9709)First to succeed.
% 17.68/2.87 % (9709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9692"
% 17.68/2.88 % (9692)Running in auto input_syntax mode. Trying TPTP
% 17.68/2.88 % (9709)Refutation found. Thanks to Tanya!
% 17.68/2.88 % SZS status Unsatisfiable for theBenchmark
% 17.68/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 17.68/2.88 % (9709)------------------------------
% 17.68/2.88 % (9709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.68/2.88 % (9709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.68/2.88 % (9709)Termination reason: Refutation
% 17.68/2.88
% 17.68/2.88 % (9709)Memory used [KB]: 51858
% 17.68/2.88 % (9709)Time elapsed: 2.151 s
% 17.68/2.88 % (9709)Instructions burned: 5941 (million)
% 17.68/2.88 % (9709)------------------------------
% 17.68/2.88 % (9709)------------------------------
% 17.68/2.88 % (9692)Success in time 2.504 s
%------------------------------------------------------------------------------