TSTP Solution File: REL040-10 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : REL040-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 13:59:40 EDT 2024

% Result   : Unsatisfiable 201.13s 29.22s
% Output   : Refutation 201.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   76
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  505 ( 505 unt;   0 def)
%            Number of atoms       :  505 ( 504 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  22 con; 0-2 aty)
%            Number of variables   :  502 ( 502   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f338162,plain,
    $false,
    inference(subsumption_resolution,[],[f338161,f42]) ).

fof(f42,plain,
    sF16 != sF17,
    inference(definition_folding,[],[f19,f41,f32,f31,f30,f29,f28,f27,f37,f36,f35,f34,f33,f40,f39,f32,f31,f30,f29,f28,f27,f37,f36,f35,f34,f33,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27]) ).

fof(f38,plain,
    join(sF8,sF13) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f39,plain,
    join(sF13,sF8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f40,plain,
    tuple(sF14,sF15) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f33,plain,
    complement(sk2) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f34,plain,
    complement(sk3) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f35,plain,
    join(sF9,sF10) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f36,plain,
    complement(sF11) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f37,plain,
    composition(sk1,sF12) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f27,plain,
    composition(sk1,sk2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f28,plain,
    complement(sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f29,plain,
    composition(sk1,sk3) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f30,plain,
    complement(sF5) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f31,plain,
    join(sF4,sF6) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f32,plain,
    complement(sF7) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

fof(f41,plain,
    tuple(sF13,sF8) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f19,plain,
    tuple(join(complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))))) != tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
    inference(definition_unfolding,[],[f18,f4,f4,f4,f4,f4,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f18,axiom,
    tuple(join(meet(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,meet(sk2,sk3))),join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3)))) != tuple(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f338161,plain,
    sF16 = sF17,
    inference(forward_demodulation,[],[f335572,f276520]) ).

fof(f276520,plain,
    sF16 = tuple(sF8,sF8),
    inference(backward_demodulation,[],[f55,f276518]) ).

fof(f276518,plain,
    sF8 = sF14,
    inference(backward_demodulation,[],[f38,f276517]) ).

fof(f276517,plain,
    sF8 = join(sF8,sF13),
    inference(forward_demodulation,[],[f276214,f20119]) ).

fof(f20119,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[],[f20013,f56]) ).

fof(f56,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(forward_demodulation,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f20013,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = complement(complement(X0)),
    inference(superposition,[],[f56,f19706]) ).

fof(f19706,plain,
    ! [X0] : complement(X0) = complement(complement(complement(X0))),
    inference(forward_demodulation,[],[f19603,f56]) ).

fof(f19603,plain,
    ! [X0,X1] : complement(complement(complement(X0))) = join(complement(join(complement(complement(X0)),X1)),complement(join(complement(complement(X0)),complement(X1)))),
    inference(superposition,[],[f56,f17093]) ).

fof(f17093,plain,
    ! [X0] : complement(complement(X0)) = complement(complement(complement(complement(X0)))),
    inference(forward_demodulation,[],[f16915,f531]) ).

fof(f531,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f512,f517]) ).

fof(f517,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(backward_demodulation,[],[f462,f507]) ).

fof(f507,plain,
    one = converse(one),
    inference(superposition,[],[f462,f6]) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f462,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f442,f8]) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f442,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f64,f6]) ).

fof(f64,plain,
    ! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
    inference(superposition,[],[f10,f8]) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f512,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
    inference(superposition,[],[f57,f462]) ).

fof(f57,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(forward_demodulation,[],[f11,f1]) ).

fof(f11,axiom,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f16915,plain,
    ! [X0] : complement(complement(X0)) = complement(join(complement(complement(complement(X0))),complement(complement(complement(X0))))),
    inference(superposition,[],[f15763,f15960]) ).

fof(f15960,plain,
    ! [X0] : join(X0,complement(complement(X0))) = X0,
    inference(forward_demodulation,[],[f15675,f1]) ).

fof(f15675,plain,
    ! [X0] : join(complement(complement(X0)),X0) = X0,
    inference(superposition,[],[f745,f143]) ).

fof(f143,plain,
    ! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),complement(composition(converse(X1),complement(composition(X1,X0))))))) = X0,
    inference(superposition,[],[f56,f57]) ).

fof(f745,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
    inference(superposition,[],[f65,f531]) ).

fof(f65,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f15763,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = complement(join(complement(X1),complement(complement(join(complement(X0),complement(X1)))))),
    inference(backward_demodulation,[],[f527,f15762]) ).

fof(f15762,plain,
    ! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
    inference(forward_demodulation,[],[f15624,f1]) ).

fof(f15624,plain,
    ! [X0,X1] : join(complement(join(X0,complement(X1))),X1) = X1,
    inference(superposition,[],[f745,f144]) ).

fof(f144,plain,
    ! [X0,X1] : join(complement(join(X1,complement(X0))),complement(join(complement(X0),complement(X1)))) = X0,
    inference(superposition,[],[f56,f1]) ).

fof(f527,plain,
    ! [X0,X1] : complement(join(complement(X1),complement(complement(join(complement(X0),complement(X1)))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(X1))))))),
    inference(forward_demodulation,[],[f519,f6]) ).

fof(f519,plain,
    ! [X0,X1] : complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,one))))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,one)))))))),
    inference(backward_demodulation,[],[f231,f507]) ).

fof(f231,plain,
    ! [X0,X1] : complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one))))))))),
    inference(forward_demodulation,[],[f208,f6]) ).

fof(f208,plain,
    ! [X0,X1] : complement(join(complement(X1),complement(composition(complement(join(complement(X0),complement(composition(X1,converse(one))))),one)))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(composition(complement(join(complement(X0),complement(composition(X1,converse(one))))),one))))),
    inference(superposition,[],[f51,f6]) ).

fof(f51,plain,
    ! [X2,X0,X1] : complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),
    inference(backward_demodulation,[],[f21,f1]) ).

fof(f21,plain,
    ! [X2,X0,X1] : complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))),
    inference(definition_unfolding,[],[f16,f4,f4,f4,f4,f4]) ).

fof(f16,axiom,
    ! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f276214,plain,
    sF8 = join(sF8,complement(complement(sF13))),
    inference(superposition,[],[f15910,f276186]) ).

fof(f276186,plain,
    complement(sF13) = join(complement(sF8),complement(sF13)),
    inference(forward_demodulation,[],[f276185,f276035]) ).

fof(f276035,plain,
    complement(sF13) = join(sF4,complement(sF13)),
    inference(forward_demodulation,[],[f276034,f47]) ).

fof(f47,plain,
    complement(composition(sk1,sk2)) = sF4,
    inference(backward_demodulation,[],[f28,f27]) ).

fof(f276034,plain,
    complement(sF13) = join(complement(composition(sk1,sk2)),complement(sF13)),
    inference(forward_demodulation,[],[f276001,f1]) ).

fof(f276001,plain,
    complement(sF13) = join(complement(sF13),complement(composition(sk1,sk2))),
    inference(superposition,[],[f30183,f275910]) ).

fof(f275910,plain,
    composition(sk1,sk2) = join(composition(sk1,sk2),sF14),
    inference(forward_demodulation,[],[f275909,f5310]) ).

fof(f5310,plain,
    composition(sk1,sk2) = join(composition(sk1,sk2),sF8),
    inference(forward_demodulation,[],[f5309,f1]) ).

fof(f5309,plain,
    composition(sk1,sk2) = join(sF8,composition(sk1,sk2)),
    inference(forward_demodulation,[],[f5308,f2680]) ).

fof(f2680,plain,
    composition(sk1,sk2) = join(sF8,complement(join(sF8,sF4))),
    inference(forward_demodulation,[],[f2679,f32]) ).

fof(f2679,plain,
    composition(sk1,sk2) = join(complement(sF7),complement(join(sF8,sF4))),
    inference(forward_demodulation,[],[f2677,f1]) ).

fof(f2677,plain,
    composition(sk1,sk2) = join(complement(join(sF8,sF4)),complement(sF7)),
    inference(backward_demodulation,[],[f1570,f2661]) ).

fof(f2661,plain,
    sF7 = join(sF4,sF7),
    inference(superposition,[],[f814,f46]) ).

fof(f46,plain,
    sF7 = join(sF4,complement(composition(sk1,sk3))),
    inference(backward_demodulation,[],[f31,f45]) ).

fof(f45,plain,
    complement(composition(sk1,sk3)) = sF6,
    inference(backward_demodulation,[],[f30,f29]) ).

fof(f814,plain,
    ! [X0] : join(sF4,X0) = join(sF4,join(sF4,X0)),
    inference(superposition,[],[f65,f741]) ).

fof(f741,plain,
    sF4 = join(sF4,sF4),
    inference(superposition,[],[f531,f47]) ).

fof(f1570,plain,
    composition(sk1,sk2) = join(complement(join(sF8,sF4)),complement(join(sF4,sF7))),
    inference(forward_demodulation,[],[f1569,f1]) ).

fof(f1569,plain,
    composition(sk1,sk2) = join(complement(join(sF4,sF8)),complement(join(sF4,sF7))),
    inference(forward_demodulation,[],[f1560,f1]) ).

fof(f1560,plain,
    composition(sk1,sk2) = join(complement(join(sF4,sF7)),complement(join(sF4,sF8))),
    inference(superposition,[],[f148,f32]) ).

fof(f148,plain,
    ! [X0] : composition(sk1,sk2) = join(complement(join(sF4,X0)),complement(join(sF4,complement(X0)))),
    inference(superposition,[],[f56,f47]) ).

fof(f5308,plain,
    join(sF8,composition(sk1,sk2)) = join(sF8,complement(join(sF8,sF4))),
    inference(forward_demodulation,[],[f5301,f1]) ).

fof(f5301,plain,
    join(sF8,composition(sk1,sk2)) = join(complement(join(sF8,sF4)),sF8),
    inference(superposition,[],[f763,f2680]) ).

fof(f763,plain,
    ! [X0] : join(X0,sF8) = join(sF8,join(sF8,X0)),
    inference(superposition,[],[f73,f739]) ).

fof(f739,plain,
    sF8 = join(sF8,sF8),
    inference(superposition,[],[f531,f32]) ).

fof(f73,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f2,f1]) ).

fof(f275909,plain,
    join(composition(sk1,sk2),sF8) = join(composition(sk1,sk2),sF14),
    inference(forward_demodulation,[],[f275908,f1]) ).

fof(f275908,plain,
    join(sF8,composition(sk1,sk2)) = join(composition(sk1,sk2),sF14),
    inference(forward_demodulation,[],[f275880,f1]) ).

fof(f275880,plain,
    join(sF8,composition(sk1,sk2)) = join(sF14,composition(sk1,sk2)),
    inference(superposition,[],[f92,f275854]) ).

fof(f275854,plain,
    composition(sk1,sk2) = join(composition(sk1,sk2),sF13),
    inference(forward_demodulation,[],[f275831,f1]) ).

fof(f275831,plain,
    composition(sk1,sk2) = join(sF13,composition(sk1,sk2)),
    inference(superposition,[],[f275754,f2300]) ).

fof(f2300,plain,
    sk2 = join(sk2,sF12),
    inference(forward_demodulation,[],[f2287,f1]) ).

fof(f2287,plain,
    sk2 = join(sF12,sk2),
    inference(superposition,[],[f788,f155]) ).

fof(f155,plain,
    sk2 = join(sF12,complement(join(complement(sk2),complement(complement(sk3))))),
    inference(forward_demodulation,[],[f141,f36]) ).

fof(f141,plain,
    sk2 = join(complement(sF11),complement(join(complement(sk2),complement(complement(sk3))))),
    inference(superposition,[],[f56,f44]) ).

fof(f44,plain,
    join(complement(sk2),complement(sk3)) = sF11,
    inference(backward_demodulation,[],[f43,f33]) ).

fof(f43,plain,
    sF11 = join(sF9,complement(sk3)),
    inference(backward_demodulation,[],[f35,f34]) ).

fof(f788,plain,
    ! [X0] : join(sF12,X0) = join(sF12,join(sF12,X0)),
    inference(superposition,[],[f65,f740]) ).

fof(f740,plain,
    sF12 = join(sF12,sF12),
    inference(superposition,[],[f531,f36]) ).

fof(f275754,plain,
    ! [X0] : composition(sk1,join(X0,sF12)) = join(sF13,composition(sk1,X0)),
    inference(forward_demodulation,[],[f275679,f8]) ).

fof(f275679,plain,
    ! [X0] : composition(sk1,join(X0,sF12)) = converse(converse(join(sF13,composition(sk1,X0)))),
    inference(superposition,[],[f8,f272291]) ).

fof(f272291,plain,
    ! [X0] : converse(composition(sk1,join(X0,sF12))) = converse(join(sF13,composition(sk1,X0))),
    inference(forward_demodulation,[],[f272290,f10]) ).

fof(f272290,plain,
    ! [X0] : composition(converse(join(X0,sF12)),converse(sk1)) = converse(join(sF13,composition(sk1,X0))),
    inference(forward_demodulation,[],[f272289,f9]) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f272289,plain,
    ! [X0] : composition(converse(join(X0,sF12)),converse(sk1)) = join(converse(sF13),converse(composition(sk1,X0))),
    inference(forward_demodulation,[],[f272223,f10]) ).

fof(f272223,plain,
    ! [X0] : composition(converse(join(X0,sF12)),converse(sk1)) = join(converse(sF13),composition(converse(X0),converse(sk1))),
    inference(superposition,[],[f1892,f60]) ).

fof(f60,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
    inference(superposition,[],[f9,f1]) ).

fof(f1892,plain,
    ! [X0] : composition(join(converse(sF12),X0),converse(sk1)) = join(converse(sF13),composition(X0,converse(sk1))),
    inference(superposition,[],[f100,f37]) ).

fof(f100,plain,
    ! [X2,X0,X1] : composition(join(converse(X0),X2),converse(X1)) = join(converse(composition(X1,X0)),composition(X2,converse(X1))),
    inference(superposition,[],[f7,f10]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f92,plain,
    ! [X0] : join(sF14,X0) = join(sF8,join(X0,sF13)),
    inference(superposition,[],[f72,f1]) ).

fof(f72,plain,
    ! [X0] : join(sF8,join(sF13,X0)) = join(sF14,X0),
    inference(superposition,[],[f2,f38]) ).

fof(f30183,plain,
    ! [X0] : complement(sF13) = join(complement(sF13),complement(join(X0,sF14))),
    inference(superposition,[],[f29328,f9741]) ).

fof(f9741,plain,
    ! [X0] : join(X0,sF14) = join(sF14,join(composition(sF1,sF8),X0)),
    inference(superposition,[],[f73,f9654]) ).

fof(f9654,plain,
    sF14 = join(sF14,composition(sF1,sF8)),
    inference(forward_demodulation,[],[f9653,f38]) ).

fof(f9653,plain,
    join(sF8,sF13) = join(sF14,composition(sF1,sF8)),
    inference(forward_demodulation,[],[f9584,f1]) ).

fof(f9584,plain,
    join(sF8,sF13) = join(composition(sF1,sF8),sF14),
    inference(superposition,[],[f8773,f697]) ).

fof(f697,plain,
    ! [X0] : join(sF8,join(sF13,X0)) = join(X0,sF14),
    inference(forward_demodulation,[],[f642,f73]) ).

fof(f642,plain,
    ! [X0] : join(sF13,join(X0,sF8)) = join(X0,sF14),
    inference(superposition,[],[f73,f38]) ).

fof(f8773,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,composition(sF1,X0))),
    inference(forward_demodulation,[],[f8766,f73]) ).

fof(f8766,plain,
    ! [X0,X1] : join(X0,X1) = join(composition(sF1,X0),join(X0,X1)),
    inference(superposition,[],[f65,f8574]) ).

fof(f8574,plain,
    ! [X0] : join(X0,composition(sF1,X0)) = X0,
    inference(forward_demodulation,[],[f8478,f517]) ).

fof(f8478,plain,
    ! [X0] : composition(one,X0) = join(X0,composition(sF1,X0)),
    inference(superposition,[],[f537,f52]) ).

fof(f52,plain,
    one = join(one,sF1),
    inference(backward_demodulation,[],[f49,f1]) ).

fof(f49,plain,
    one = join(sF1,one),
    inference(backward_demodulation,[],[f25,f26]) ).

fof(f26,plain,
    one = sF2,
    inference(definition_folding,[],[f17,f25,f24,f23]) ).

fof(f23,plain,
    converse(sk1) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f24,plain,
    composition(sF0,sk1) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f17,axiom,
    one = join(composition(converse(sk1),sk1),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f25,plain,
    join(sF1,one) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f537,plain,
    ! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
    inference(forward_demodulation,[],[f515,f507]) ).

fof(f515,plain,
    ! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
    inference(superposition,[],[f7,f462]) ).

fof(f29328,plain,
    ! [X0] : complement(sF13) = join(complement(sF13),complement(join(sF14,X0))),
    inference(superposition,[],[f24733,f21918]) ).

fof(f21918,plain,
    ! [X0] : join(sF14,X0) = join(sF13,join(sF14,X0)),
    inference(forward_demodulation,[],[f21117,f517]) ).

fof(f21117,plain,
    ! [X0] : join(sF13,join(sF14,X0)) = join(composition(one,sF14),X0),
    inference(backward_demodulation,[],[f8432,f20183]) ).

fof(f20183,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(backward_demodulation,[],[f15960,f20119]) ).

fof(f8432,plain,
    ! [X0] : join(sF13,join(sF14,X0)) = join(composition(join(one,one),sF14),X0),
    inference(superposition,[],[f2,f8077]) ).

fof(f8077,plain,
    join(sF13,sF14) = composition(join(one,one),sF14),
    inference(backward_demodulation,[],[f3047,f7987]) ).

fof(f7987,plain,
    ! [X0] : composition(join(one,one),X0) = join(X0,X0),
    inference(superposition,[],[f534,f517]) ).

fof(f534,plain,
    ! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(X1,one),X0),
    inference(forward_demodulation,[],[f533,f507]) ).

fof(f533,plain,
    ! [X0,X1] : composition(join(X1,converse(one)),X0) = join(X0,composition(X1,X0)),
    inference(forward_demodulation,[],[f514,f1]) ).

fof(f514,plain,
    ! [X0,X1] : composition(join(X1,converse(one)),X0) = join(composition(X1,X0),X0),
    inference(superposition,[],[f7,f462]) ).

fof(f3047,plain,
    join(sF13,sF14) = join(sF14,sF14),
    inference(superposition,[],[f1953,f697]) ).

fof(f1953,plain,
    ! [X0] : join(X0,sF14) = join(sF8,join(X0,sF14)),
    inference(superposition,[],[f762,f697]) ).

fof(f762,plain,
    ! [X0] : join(sF8,X0) = join(sF8,join(sF8,X0)),
    inference(superposition,[],[f65,f739]) ).

fof(f24733,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
    inference(superposition,[],[f15910,f20119]) ).

fof(f276185,plain,
    join(sF4,complement(sF13)) = join(complement(sF8),complement(sF13)),
    inference(forward_demodulation,[],[f276157,f1]) ).

fof(f276157,plain,
    join(sF4,complement(sF13)) = join(complement(sF13),complement(sF8)),
    inference(superposition,[],[f22485,f276137]) ).

fof(f276137,plain,
    complement(sF13) = join(complement(composition(sk1,sk3)),complement(sF13)),
    inference(forward_demodulation,[],[f276108,f1]) ).

fof(f276108,plain,
    complement(sF13) = join(complement(sF13),complement(composition(sk1,sk3))),
    inference(superposition,[],[f30183,f275969]) ).

fof(f275969,plain,
    composition(sk1,sk3) = join(composition(sk1,sk3),sF14),
    inference(forward_demodulation,[],[f275968,f18174]) ).

fof(f18174,plain,
    composition(sk1,sk3) = join(sF8,composition(sk1,sk3)),
    inference(forward_demodulation,[],[f18173,f1]) ).

fof(f18173,plain,
    composition(sk1,sk3) = join(composition(sk1,sk3),sF8),
    inference(forward_demodulation,[],[f17799,f32]) ).

fof(f17799,plain,
    composition(sk1,sk3) = join(composition(sk1,sk3),complement(sF7)),
    inference(superposition,[],[f15762,f46]) ).

fof(f275968,plain,
    join(sF8,composition(sk1,sk3)) = join(composition(sk1,sk3),sF14),
    inference(forward_demodulation,[],[f275940,f1]) ).

fof(f275940,plain,
    join(sF8,composition(sk1,sk3)) = join(sF14,composition(sk1,sk3)),
    inference(superposition,[],[f92,f275855]) ).

fof(f275855,plain,
    composition(sk1,sk3) = join(composition(sk1,sk3),sF13),
    inference(forward_demodulation,[],[f275832,f1]) ).

fof(f275832,plain,
    composition(sk1,sk3) = join(sF13,composition(sk1,sk3)),
    inference(superposition,[],[f275754,f2951]) ).

fof(f2951,plain,
    sk3 = join(sk3,sF12),
    inference(forward_demodulation,[],[f2950,f1231]) ).

fof(f1231,plain,
    sk3 = join(sF12,complement(join(complement(sk3),sF12))),
    inference(forward_demodulation,[],[f1221,f36]) ).

fof(f1221,plain,
    sk3 = join(complement(sF11),complement(join(complement(sk3),sF12))),
    inference(superposition,[],[f150,f750]) ).

fof(f750,plain,
    sF11 = join(complement(sk3),sF11),
    inference(forward_demodulation,[],[f749,f44]) ).

fof(f749,plain,
    join(complement(sk2),complement(sk3)) = join(complement(sk3),sF11),
    inference(forward_demodulation,[],[f743,f1]) ).

fof(f743,plain,
    join(complement(sk2),complement(sk3)) = join(sF11,complement(sk3)),
    inference(superposition,[],[f68,f531]) ).

fof(f68,plain,
    ! [X0] : join(complement(sk2),join(complement(sk3),X0)) = join(sF11,X0),
    inference(superposition,[],[f2,f44]) ).

fof(f150,plain,
    ! [X0] : join(complement(join(complement(X0),sF11)),complement(join(complement(X0),sF12))) = X0,
    inference(superposition,[],[f56,f36]) ).

fof(f2950,plain,
    join(sF12,complement(join(complement(sk3),sF12))) = join(sk3,sF12),
    inference(forward_demodulation,[],[f2949,f1]) ).

fof(f2949,plain,
    join(complement(join(complement(sk3),sF12)),sF12) = join(sk3,sF12),
    inference(forward_demodulation,[],[f2942,f1]) ).

fof(f2942,plain,
    join(complement(join(complement(sk3),sF12)),sF12) = join(sF12,sk3),
    inference(superposition,[],[f789,f1231]) ).

fof(f789,plain,
    ! [X0] : join(sF12,join(sF12,X0)) = join(X0,sF12),
    inference(superposition,[],[f73,f740]) ).

fof(f22485,plain,
    ! [X0] : join(sF4,join(complement(composition(sk1,sk3)),X0)) = join(X0,complement(sF8)),
    inference(backward_demodulation,[],[f696,f22471]) ).

fof(f22471,plain,
    sF7 = complement(sF8),
    inference(forward_demodulation,[],[f22469,f20183]) ).

fof(f22469,plain,
    sF7 = join(complement(sF8),complement(sF8)),
    inference(backward_demodulation,[],[f15680,f22459]) ).

fof(f22459,plain,
    ! [X0] : join(complement(X0),sF7) = join(complement(X0),complement(sF8)),
    inference(forward_demodulation,[],[f22458,f22364]) ).

fof(f22364,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
    inference(forward_demodulation,[],[f22363,f15762]) ).

fof(f22363,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,[],[f20216,f2]) ).

fof(f20216,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
    inference(backward_demodulation,[],[f1531,f20119]) ).

fof(f1531,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))))),
    inference(forward_demodulation,[],[f1509,f1]) ).

fof(f1509,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
    inference(superposition,[],[f144,f56]) ).

fof(f22458,plain,
    ! [X0] : join(complement(X0),sF7) = join(complement(X0),complement(join(complement(X0),sF8))),
    inference(forward_demodulation,[],[f22457,f21908]) ).

fof(f21908,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
    inference(forward_demodulation,[],[f21111,f517]) ).

fof(f21111,plain,
    ! [X0,X1] : join(X0,join(X1,X0)) = join(X1,composition(one,X0)),
    inference(backward_demodulation,[],[f8339,f20183]) ).

fof(f8339,plain,
    ! [X0,X1] : join(X1,composition(join(one,one),X0)) = join(X0,join(X1,X0)),
    inference(superposition,[],[f73,f7987]) ).

fof(f22457,plain,
    ! [X0] : join(complement(X0),sF7) = join(complement(X0),complement(join(sF8,join(complement(X0),sF8)))),
    inference(forward_demodulation,[],[f22385,f32]) ).

fof(f22385,plain,
    ! [X0] : join(complement(X0),sF7) = join(complement(X0),complement(join(sF8,join(complement(X0),complement(sF7))))),
    inference(backward_demodulation,[],[f2424,f22364]) ).

fof(f2424,plain,
    ! [X0] : join(complement(X0),sF7) = join(complement(X0),complement(join(sF8,join(complement(X0),complement(join(complement(X0),sF7)))))),
    inference(superposition,[],[f159,f32]) ).

fof(f159,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))),
    inference(forward_demodulation,[],[f158,f1]) ).

fof(f158,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X1),join(complement(join(complement(X0),X1)),complement(X0))))),
    inference(forward_demodulation,[],[f157,f73]) ).

fof(f157,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
    inference(forward_demodulation,[],[f152,f1]) ).

fof(f152,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
    inference(superposition,[],[f56,f56]) ).

fof(f15680,plain,
    sF7 = join(complement(sF8),sF7),
    inference(superposition,[],[f745,f962]) ).

fof(f962,plain,
    sF7 = join(complement(sF8),complement(join(sF8,sF7))),
    inference(forward_demodulation,[],[f961,f739]) ).

fof(f961,plain,
    sF7 = join(complement(join(sF8,sF8)),complement(join(sF8,sF7))),
    inference(forward_demodulation,[],[f953,f1]) ).

fof(f953,plain,
    sF7 = join(complement(join(sF8,sF7)),complement(join(sF8,sF8))),
    inference(superposition,[],[f146,f32]) ).

fof(f146,plain,
    ! [X0] : sF7 = join(complement(join(sF8,X0)),complement(join(sF8,complement(X0)))),
    inference(superposition,[],[f56,f32]) ).

fof(f696,plain,
    ! [X0] : join(sF4,join(complement(composition(sk1,sk3)),X0)) = join(X0,sF7),
    inference(forward_demodulation,[],[f641,f73]) ).

fof(f641,plain,
    ! [X0] : join(complement(composition(sk1,sk3)),join(X0,sF4)) = join(X0,sF7),
    inference(superposition,[],[f73,f46]) ).

fof(f15910,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f15627,f1]) ).

fof(f15627,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
    inference(superposition,[],[f745,f56]) ).

fof(f55,plain,
    sF16 = tuple(sF14,sF14),
    inference(backward_demodulation,[],[f40,f54]) ).

fof(f54,plain,
    sF14 = sF15,
    inference(forward_demodulation,[],[f53,f38]) ).

fof(f53,plain,
    join(sF8,sF13) = sF15,
    inference(backward_demodulation,[],[f39,f1]) ).

fof(f335572,plain,
    sF17 = tuple(sF8,sF8),
    inference(backward_demodulation,[],[f41,f335570]) ).

fof(f335570,plain,
    sF8 = sF13,
    inference(forward_demodulation,[],[f335569,f276517]) ).

fof(f335569,plain,
    sF13 = join(sF8,sF13),
    inference(forward_demodulation,[],[f335568,f1]) ).

fof(f335568,plain,
    sF13 = join(sF13,sF8),
    inference(forward_demodulation,[],[f335567,f88870]) ).

fof(f88870,plain,
    ! [X0,X1] : join(X1,complement(join(X0,complement(X0)))) = X1,
    inference(superposition,[],[f41096,f87915]) ).

fof(f87915,plain,
    ! [X0] : join(X0,complement(X0)) = join(sk3,complement(sk3)),
    inference(forward_demodulation,[],[f87910,f87905]) ).

fof(f87905,plain,
    ! [X0,X1] : join(X0,complement(X0)) = join(X1,join(X0,complement(X0))),
    inference(backward_demodulation,[],[f87524,f87894]) ).

fof(f87894,plain,
    ! [X0,X1] : join(X0,complement(X0)) = join(sF12,join(X1,join(X0,complement(X0)))),
    inference(backward_demodulation,[],[f87578,f87892]) ).

fof(f87892,plain,
    ! [X0,X1] : join(X0,complement(X0)) = join(X0,join(complement(X0),X1)),
    inference(forward_demodulation,[],[f87891,f1]) ).

fof(f87891,plain,
    ! [X0,X1] : join(complement(X0),X0) = join(X0,join(complement(X0),X1)),
    inference(forward_demodulation,[],[f87890,f20119]) ).

fof(f87890,plain,
    ! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X0,join(complement(X0),X1)),
    inference(forward_demodulation,[],[f87889,f73]) ).

fof(f87889,plain,
    ! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(X1,X0)),
    inference(forward_demodulation,[],[f87655,f20119]) ).

fof(f87655,plain,
    ! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),complement(complement(join(X1,X0)))),
    inference(superposition,[],[f22364,f24732]) ).

fof(f24732,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
    inference(superposition,[],[f15762,f20119]) ).

fof(f87578,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(sF12,join(X1,join(X0,complement(X0)))),
    inference(forward_demodulation,[],[f87526,f2]) ).

fof(f87526,plain,
    ! [X0,X1] : join(join(X0,complement(X0)),X1) = join(sF12,join(X1,join(X0,complement(X0)))),
    inference(superposition,[],[f9359,f86814]) ).

fof(f86814,plain,
    ! [X0] : join(X0,complement(X0)) = join(sF12,join(X0,complement(X0))),
    inference(forward_demodulation,[],[f86813,f20119]) ).

fof(f86813,plain,
    ! [X0] : complement(complement(join(X0,complement(X0)))) = join(sF12,complement(complement(join(X0,complement(X0))))),
    inference(forward_demodulation,[],[f86812,f31057]) ).

fof(f31057,plain,
    ! [X0] : join(sF12,complement(X0)) = join(sF12,complement(join(X0,sF12))),
    inference(superposition,[],[f22351,f1]) ).

fof(f22351,plain,
    ! [X0] : join(sF12,complement(X0)) = join(sF12,complement(join(sF12,X0))),
    inference(forward_demodulation,[],[f22350,f15762]) ).

fof(f22350,plain,
    ! [X0] : join(sF12,complement(X0)) = join(sF12,complement(join(sF12,join(X0,complement(join(sF12,complement(X0))))))),
    inference(forward_demodulation,[],[f20212,f2]) ).

fof(f20212,plain,
    ! [X0] : join(sF12,complement(X0)) = join(sF12,complement(join(join(sF12,X0),complement(join(sF12,complement(X0)))))),
    inference(backward_demodulation,[],[f1535,f20119]) ).

fof(f1535,plain,
    ! [X0] : join(sF12,complement(X0)) = join(sF12,complement(join(complement(complement(join(sF12,X0))),complement(join(sF12,complement(X0)))))),
    inference(forward_demodulation,[],[f1534,f36]) ).

fof(f1534,plain,
    ! [X0] : join(sF12,complement(X0)) = join(complement(sF11),complement(join(complement(complement(join(sF12,X0))),complement(join(sF12,complement(X0)))))),
    inference(forward_demodulation,[],[f1511,f1]) ).

fof(f1511,plain,
    ! [X0] : join(sF12,complement(X0)) = join(complement(sF11),complement(join(complement(join(sF12,complement(X0))),complement(complement(join(sF12,X0)))))),
    inference(superposition,[],[f144,f147]) ).

fof(f147,plain,
    ! [X0] : sF11 = join(complement(join(sF12,X0)),complement(join(sF12,complement(X0)))),
    inference(superposition,[],[f56,f36]) ).

fof(f86812,plain,
    ! [X0] : complement(complement(join(X0,complement(X0)))) = join(sF12,complement(join(complement(join(X0,complement(X0))),sF12))),
    inference(forward_demodulation,[],[f86748,f36]) ).

fof(f86748,plain,
    ! [X0] : complement(complement(join(X0,complement(X0)))) = join(complement(sF11),complement(join(complement(join(X0,complement(X0))),sF12))),
    inference(superposition,[],[f43371,f86677]) ).

fof(f86677,plain,
    ! [X0] : sF11 = join(sF11,complement(join(X0,complement(X0)))),
    inference(forward_demodulation,[],[f86610,f19753]) ).

fof(f19753,plain,
    ! [X0] : sF11 = join(sF11,complement(join(sk3,X0))),
    inference(backward_demodulation,[],[f19120,f19742]) ).

fof(f19742,plain,
    sk3 = complement(complement(sk3)),
    inference(forward_demodulation,[],[f19729,f1231]) ).

fof(f19729,plain,
    complement(complement(sk3)) = join(sF12,complement(join(complement(sk3),sF12))),
    inference(backward_demodulation,[],[f17437,f19706]) ).

fof(f17437,plain,
    complement(complement(sk3)) = join(sF12,complement(join(complement(complement(complement(sk3))),sF12))),
    inference(forward_demodulation,[],[f17423,f36]) ).

fof(f17423,plain,
    complement(complement(sk3)) = join(complement(sF11),complement(join(complement(complement(complement(sk3))),sF12))),
    inference(superposition,[],[f150,f16480]) ).

fof(f16480,plain,
    sF11 = join(complement(complement(complement(sk3))),sF11),
    inference(forward_demodulation,[],[f16411,f44]) ).

fof(f16411,plain,
    join(complement(sk2),complement(sk3)) = join(complement(complement(complement(sk3))),sF11),
    inference(superposition,[],[f681,f15960]) ).

fof(f681,plain,
    ! [X0] : join(complement(sk2),join(complement(sk3),X0)) = join(X0,sF11),
    inference(forward_demodulation,[],[f628,f73]) ).

fof(f628,plain,
    ! [X0] : join(complement(sk3),join(X0,complement(sk2))) = join(X0,sF11),
    inference(superposition,[],[f73,f44]) ).

fof(f19120,plain,
    ! [X0] : sF11 = join(sF11,complement(join(complement(complement(sk3)),X0))),
    inference(forward_demodulation,[],[f19119,f44]) ).

fof(f19119,plain,
    ! [X0] : join(complement(sk2),complement(sk3)) = join(sF11,complement(join(complement(complement(sk3)),X0))),
    inference(forward_demodulation,[],[f18954,f1]) ).

fof(f18954,plain,
    ! [X0] : join(complement(sk2),complement(sk3)) = join(complement(join(complement(complement(sk3)),X0)),sF11),
    inference(superposition,[],[f681,f15910]) ).

fof(f86610,plain,
    ! [X0] : join(sF11,complement(join(sk3,complement(sk3)))) = join(sF11,complement(join(X0,complement(X0)))),
    inference(superposition,[],[f48142,f85730]) ).

fof(f85730,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(sF11,join(X0,complement(X0))),
    inference(forward_demodulation,[],[f85729,f41046]) ).

fof(f41046,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(sF11,join(X0,sF12)),
    inference(backward_demodulation,[],[f31222,f41043]) ).

fof(f41043,plain,
    join(sk3,complement(sk3)) = join(sk2,sF11),
    inference(backward_demodulation,[],[f31357,f41042]) ).

fof(f41042,plain,
    join(sk3,complement(sk3)) = join(sk3,sF11),
    inference(forward_demodulation,[],[f41001,f34578]) ).

fof(f34578,plain,
    ! [X0] : join(sk3,complement(X0)) = join(sk3,complement(join(X0,sF12))),
    inference(forward_demodulation,[],[f34548,f3010]) ).

fof(f3010,plain,
    ! [X0] : join(sk3,X0) = join(sk3,join(sF12,X0)),
    inference(superposition,[],[f2,f2951]) ).

fof(f34548,plain,
    ! [X0] : join(sk3,join(sF12,complement(X0))) = join(sk3,complement(join(X0,sF12))),
    inference(superposition,[],[f3010,f31057]) ).

fof(f41001,plain,
    join(sk3,sF11) = join(sk3,complement(join(sk3,sF12))),
    inference(superposition,[],[f24815,f36]) ).

fof(f24815,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(sk3,complement(X0)))),
    inference(backward_demodulation,[],[f23912,f24732]) ).

fof(f23912,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(sk3,join(complement(X0),complement(join(sk3,X0)))))),
    inference(forward_demodulation,[],[f23911,f4108]) ).

fof(f4108,plain,
    ! [X0,X1] : join(sk3,join(X0,X1)) = join(sk3,join(X1,X0)),
    inference(forward_demodulation,[],[f4107,f2]) ).

fof(f4107,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(sk3,join(X1,X0)),
    inference(forward_demodulation,[],[f4106,f4095]) ).

fof(f4095,plain,
    ! [X0,X1] : join(sk3,join(X0,X1)) = join(sk3,join(X1,join(sF12,X0))),
    inference(superposition,[],[f3010,f73]) ).

fof(f4106,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(sk3,join(X0,join(sF12,X1))),
    inference(forward_demodulation,[],[f4105,f562]) ).

fof(f562,plain,
    ! [X2,X3,X0,X1] : join(X1,join(X0,join(X2,X3))) = join(X2,join(X0,join(X1,X3))),
    inference(forward_demodulation,[],[f561,f2]) ).

fof(f561,plain,
    ! [X2,X3,X0,X1] : join(X2,join(join(X0,X1),X3)) = join(X1,join(X0,join(X2,X3))),
    inference(forward_demodulation,[],[f560,f2]) ).

fof(f560,plain,
    ! [X2,X3,X0,X1] : join(X2,join(join(X0,X1),X3)) = join(X1,join(join(X0,X2),X3)),
    inference(forward_demodulation,[],[f541,f2]) ).

fof(f541,plain,
    ! [X2,X3,X0,X1] : join(X2,join(join(X0,X1),X3)) = join(join(X1,join(X0,X2)),X3),
    inference(superposition,[],[f65,f65]) ).

fof(f4105,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(sF12,join(X0,join(sk3,X1))),
    inference(forward_demodulation,[],[f4097,f2]) ).

fof(f4097,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(join(sF12,X0),join(sk3,X1)),
    inference(superposition,[],[f65,f3010]) ).

fof(f23911,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(sk3,join(complement(join(sk3,X0)),complement(X0))))),
    inference(forward_demodulation,[],[f23910,f73]) ).

fof(f23910,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(complement(X0),join(sk3,complement(join(sk3,X0)))))),
    inference(forward_demodulation,[],[f23909,f2357]) ).

fof(f2357,plain,
    ! [X2,X3,X0] : join(complement(X0),join(X2,X3)) = join(complement(X0),join(X3,X2)),
    inference(forward_demodulation,[],[f2356,f2]) ).

fof(f2356,plain,
    ! [X2,X3,X0] : join(join(complement(X0),X2),X3) = join(complement(X0),join(X3,X2)),
    inference(forward_demodulation,[],[f2355,f2334]) ).

fof(f2334,plain,
    ! [X2,X3,X0,X1] : join(complement(X1),join(X2,X3)) = join(complement(X1),join(X3,join(composition(converse(X0),complement(composition(X0,X1))),X2))),
    inference(superposition,[],[f129,f73]) ).

fof(f129,plain,
    ! [X2,X0,X1] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
    inference(superposition,[],[f2,f57]) ).

fof(f2355,plain,
    ! [X2,X3,X0,X1] : join(join(complement(X0),X2),X3) = join(complement(X0),join(X2,join(composition(converse(X1),complement(composition(X1,X0))),X3))),
    inference(forward_demodulation,[],[f2354,f562]) ).

fof(f2354,plain,
    ! [X2,X3,X0,X1] : join(join(complement(X0),X2),X3) = join(composition(converse(X1),complement(composition(X1,X0))),join(X2,join(complement(X0),X3))),
    inference(forward_demodulation,[],[f2340,f2]) ).

fof(f2340,plain,
    ! [X2,X3,X0,X1] : join(join(complement(X0),X2),X3) = join(join(composition(converse(X1),complement(composition(X1,X0))),X2),join(complement(X0),X3)),
    inference(superposition,[],[f65,f129]) ).

fof(f23909,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(complement(X0),join(complement(join(sk3,X0)),sk3)))),
    inference(forward_demodulation,[],[f20518,f73]) ).

fof(f20518,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(complement(join(sk3,X0)),join(sk3,complement(X0))))),
    inference(backward_demodulation,[],[f19889,f20119]) ).

fof(f19889,plain,
    ! [X0] : join(sk3,X0) = join(sk3,complement(join(complement(join(sk3,X0)),complement(complement(join(sk3,complement(X0))))))),
    inference(superposition,[],[f142,f19742]) ).

fof(f142,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),
    inference(superposition,[],[f56,f56]) ).

fof(f31357,plain,
    join(sk3,sF11) = join(sk2,sF11),
    inference(backward_demodulation,[],[f31286,f31313]) ).

fof(f31313,plain,
    ! [X0] : join(sk2,sF11) = join(sk2,join(X0,sF11)),
    inference(superposition,[],[f31292,f1]) ).

fof(f31292,plain,
    ! [X0] : join(sk2,sF11) = join(sk2,join(sF11,X0)),
    inference(forward_demodulation,[],[f31291,f31222]) ).

fof(f31291,plain,
    ! [X0] : join(sk2,join(sF11,X0)) = join(sF11,join(X0,sF12)),
    inference(forward_demodulation,[],[f31290,f73]) ).

fof(f31290,plain,
    ! [X0] : join(sF12,join(sF11,X0)) = join(sk2,join(sF11,X0)),
    inference(forward_demodulation,[],[f31269,f2]) ).

fof(f31269,plain,
    ! [X0] : join(sF12,join(sF11,X0)) = join(join(sk2,sF11),X0),
    inference(superposition,[],[f65,f31220]) ).

fof(f31220,plain,
    join(sF11,sF12) = join(sk2,sF11),
    inference(forward_demodulation,[],[f31219,f1]) ).

fof(f31219,plain,
    join(sF12,sF11) = join(sk2,sF11),
    inference(forward_demodulation,[],[f31218,f1]) ).

fof(f31218,plain,
    join(sF12,sF11) = join(sF11,sk2),
    inference(forward_demodulation,[],[f31197,f563]) ).

fof(f563,plain,
    ! [X0] : join(sF11,X0) = join(complement(sk2),join(X0,complement(sk3))),
    inference(forward_demodulation,[],[f542,f73]) ).

fof(f542,plain,
    ! [X0] : join(sF11,X0) = join(complement(sk3),join(complement(sk2),X0)),
    inference(superposition,[],[f65,f44]) ).

fof(f31197,plain,
    join(sF12,sF11) = join(complement(sk2),join(sk2,complement(sk3))),
    inference(superposition,[],[f681,f31116]) ).

fof(f31116,plain,
    join(complement(sk3),sF12) = join(sk2,complement(sk3)),
    inference(forward_demodulation,[],[f31115,f1]) ).

fof(f31115,plain,
    join(sF12,complement(sk3)) = join(sk2,complement(sk3)),
    inference(forward_demodulation,[],[f31114,f2362]) ).

fof(f2362,plain,
    ! [X0] : join(sk2,X0) = join(sk2,join(X0,sF12)),
    inference(forward_demodulation,[],[f2359,f73]) ).

fof(f2359,plain,
    ! [X0] : join(sk2,X0) = join(sF12,join(sk2,X0)),
    inference(superposition,[],[f65,f2300]) ).

fof(f31114,plain,
    join(sF12,complement(sk3)) = join(sk2,join(complement(sk3),sF12)),
    inference(forward_demodulation,[],[f31113,f2]) ).

fof(f31113,plain,
    join(sF12,complement(sk3)) = join(join(sk2,complement(sk3)),sF12),
    inference(forward_demodulation,[],[f31112,f1]) ).

fof(f31112,plain,
    join(sF12,complement(sk3)) = join(sF12,join(sk2,complement(sk3))),
    inference(forward_demodulation,[],[f31049,f20119]) ).

fof(f31049,plain,
    join(sF12,complement(sk3)) = join(sF12,complement(complement(join(sk2,complement(sk3))))),
    inference(superposition,[],[f22351,f24345]) ).

fof(f24345,plain,
    sk3 = join(sF12,complement(join(sk2,complement(sk3)))),
    inference(forward_demodulation,[],[f20758,f1]) ).

fof(f20758,plain,
    sk3 = join(sF12,complement(join(complement(sk3),sk2))),
    inference(backward_demodulation,[],[f1537,f20119]) ).

fof(f1537,plain,
    sk3 = join(sF12,complement(join(complement(sk3),complement(complement(sk2))))),
    inference(forward_demodulation,[],[f1514,f36]) ).

fof(f1514,plain,
    sk3 = join(complement(sF11),complement(join(complement(sk3),complement(complement(sk2))))),
    inference(superposition,[],[f144,f44]) ).

fof(f31286,plain,
    join(sk3,sF11) = join(sk2,join(sk3,sF11)),
    inference(forward_demodulation,[],[f31285,f3703]) ).

fof(f3703,plain,
    ! [X0,X1] : join(sk2,join(X0,X1)) = join(sk2,join(X1,X0)),
    inference(forward_demodulation,[],[f3702,f2]) ).

fof(f3702,plain,
    ! [X0,X1] : join(join(sk2,X0),X1) = join(sk2,join(X1,X0)),
    inference(forward_demodulation,[],[f3701,f3692]) ).

fof(f3692,plain,
    ! [X0,X1] : join(sk2,join(X0,X1)) = join(sk2,join(X1,join(sF12,X0))),
    inference(superposition,[],[f2358,f73]) ).

fof(f2358,plain,
    ! [X0] : join(sk2,X0) = join(sk2,join(sF12,X0)),
    inference(superposition,[],[f2,f2300]) ).

fof(f3701,plain,
    ! [X0,X1] : join(join(sk2,X0),X1) = join(sk2,join(X0,join(sF12,X1))),
    inference(forward_demodulation,[],[f3700,f562]) ).

fof(f3700,plain,
    ! [X0,X1] : join(join(sk2,X0),X1) = join(sF12,join(X0,join(sk2,X1))),
    inference(forward_demodulation,[],[f3694,f2]) ).

fof(f3694,plain,
    ! [X0,X1] : join(join(sk2,X0),X1) = join(join(sF12,X0),join(sk2,X1)),
    inference(superposition,[],[f65,f2358]) ).

fof(f31285,plain,
    join(sk3,sF11) = join(sk2,join(sF11,sk3)),
    inference(forward_demodulation,[],[f31264,f73]) ).

fof(f31264,plain,
    join(sk3,sF11) = join(sk3,join(sk2,sF11)),
    inference(superposition,[],[f3015,f31220]) ).

fof(f3015,plain,
    ! [X0] : join(sk3,X0) = join(sk3,join(X0,sF12)),
    inference(forward_demodulation,[],[f3011,f73]) ).

fof(f3011,plain,
    ! [X0] : join(sk3,X0) = join(sF12,join(sk3,X0)),
    inference(superposition,[],[f65,f2951]) ).

fof(f31222,plain,
    ! [X0] : join(sk2,sF11) = join(sF11,join(X0,sF12)),
    inference(backward_demodulation,[],[f31095,f31220]) ).

fof(f31095,plain,
    ! [X0] : join(sF11,sF12) = join(sF11,join(X0,sF12)),
    inference(forward_demodulation,[],[f31094,f1]) ).

fof(f31094,plain,
    ! [X0] : join(sF12,sF11) = join(sF11,join(X0,sF12)),
    inference(forward_demodulation,[],[f31093,f17977]) ).

fof(f17977,plain,
    sF11 = complement(sF12),
    inference(forward_demodulation,[],[f17976,f16720]) ).

fof(f16720,plain,
    sF11 = join(complement(sk3),complement(sF12)),
    inference(forward_demodulation,[],[f16615,f14645]) ).

fof(f14645,plain,
    sF11 = join(complement(sk3),complement(join(complement(sk3),sF12))),
    inference(forward_demodulation,[],[f14619,f1]) ).

fof(f14619,plain,
    sF11 = join(complement(sk3),complement(join(sF12,complement(sk3)))),
    inference(superposition,[],[f982,f2951]) ).

fof(f982,plain,
    ! [X0] : sF11 = join(complement(join(X0,sF12)),complement(join(sF12,complement(X0)))),
    inference(superposition,[],[f147,f1]) ).

fof(f16615,plain,
    join(complement(sk3),complement(sF12)) = join(complement(sk3),complement(join(complement(sk3),sF12))),
    inference(superposition,[],[f15971,f15774]) ).

fof(f15774,plain,
    sF12 = complement(join(complement(sk3),complement(sF12))),
    inference(backward_demodulation,[],[f2733,f15762]) ).

fof(f2733,plain,
    complement(join(complement(sk3),complement(sF12))) = join(sF12,complement(join(complement(sk3),complement(sF12)))),
    inference(forward_demodulation,[],[f2706,f36]) ).

fof(f2706,plain,
    complement(join(complement(sk3),complement(complement(sF11)))) = join(complement(sF11),complement(join(complement(sk3),complement(complement(sF11))))),
    inference(superposition,[],[f527,f44]) ).

fof(f15971,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),X1))))),
    inference(backward_demodulation,[],[f159,f15970]) ).

fof(f15970,plain,
    ! [X0,X1] : join(complement(X0),complement(join(complement(X0),X1))) = join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))),
    inference(forward_demodulation,[],[f15968,f15916]) ).

fof(f15916,plain,
    ! [X0,X1] : complement(join(complement(X0),X1)) = complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))))),
    inference(backward_demodulation,[],[f2718,f15910]) ).

fof(f2718,plain,
    ! [X0,X1] : complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))))) = join(complement(join(complement(X0),X1)),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))))),
    inference(forward_demodulation,[],[f2691,f1]) ).

fof(f2691,plain,
    ! [X0,X1] : complement(join(complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))),complement(complement(join(complement(X0),X1))))) = join(complement(join(complement(X0),X1)),complement(join(complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))),complement(complement(join(complement(X0),X1)))))),
    inference(superposition,[],[f527,f159]) ).

fof(f15968,plain,
    ! [X0,X1] : join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))))),
    inference(backward_demodulation,[],[f2647,f15723]) ).

fof(f15723,plain,
    ! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(complement(X0),join(X2,join(complement(X0),X1))),
    inference(superposition,[],[f745,f73]) ).

fof(f2647,plain,
    ! [X0,X1] : join(complement(X0),join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))))))),
    inference(forward_demodulation,[],[f2624,f1]) ).

fof(f2624,plain,
    ! [X0,X1] : join(complement(X0),join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(complement(join(complement(X0),join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))),complement(complement(join(complement(X0),X1)))))),
    inference(superposition,[],[f142,f159]) ).

fof(f17976,plain,
    complement(sF12) = join(complement(sk3),complement(sF12)),
    inference(forward_demodulation,[],[f17798,f1]) ).

fof(f17798,plain,
    complement(sF12) = join(complement(sF12),complement(sk3)),
    inference(superposition,[],[f15762,f16521]) ).

fof(f16521,plain,
    sk3 = join(sk3,complement(complement(sF12))),
    inference(forward_demodulation,[],[f16450,f2951]) ).

fof(f16450,plain,
    join(sk3,sF12) = join(sk3,complement(complement(sF12))),
    inference(superposition,[],[f3010,f15960]) ).

fof(f31093,plain,
    ! [X0] : join(sF12,complement(sF12)) = join(sF11,join(X0,sF12)),
    inference(forward_demodulation,[],[f31092,f73]) ).

fof(f31092,plain,
    ! [X0] : join(sF12,complement(sF12)) = join(sF12,join(sF11,X0)),
    inference(forward_demodulation,[],[f31044,f20119]) ).

fof(f31044,plain,
    ! [X0] : join(sF12,complement(sF12)) = join(sF12,complement(complement(join(sF11,X0)))),
    inference(superposition,[],[f22351,f18666]) ).

fof(f18666,plain,
    ! [X0] : sF12 = join(sF12,complement(join(sF11,X0))),
    inference(superposition,[],[f18374,f1]) ).

fof(f18374,plain,
    ! [X0] : sF12 = join(sF12,complement(join(X0,sF11))),
    inference(superposition,[],[f15762,f17977]) ).

fof(f85729,plain,
    ! [X0] : join(sF11,join(X0,sF12)) = join(sF11,join(X0,complement(X0))),
    inference(forward_demodulation,[],[f85728,f73]) ).

fof(f85728,plain,
    ! [X0] : join(sF12,join(sF11,X0)) = join(sF11,join(X0,complement(X0))),
    inference(forward_demodulation,[],[f85727,f5924]) ).

fof(f5924,plain,
    ! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X1,join(X2,X0)),
    inference(superposition,[],[f558,f73]) ).

fof(f558,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[],[f65,f2]) ).

fof(f85727,plain,
    ! [X0] : join(sF12,join(sF11,X0)) = join(sF11,join(complement(X0),X0)),
    inference(forward_demodulation,[],[f85726,f48213]) ).

fof(f48213,plain,
    ! [X0,X1] : join(sF11,join(X1,complement(join(X0,sF11)))) = join(sF11,join(complement(X0),X1)),
    inference(forward_demodulation,[],[f48212,f2]) ).

fof(f48212,plain,
    ! [X0,X1] : join(join(sF11,complement(X0)),X1) = join(sF11,join(X1,complement(join(X0,sF11)))),
    inference(forward_demodulation,[],[f48164,f73]) ).

fof(f48164,plain,
    ! [X0,X1] : join(join(sF11,complement(X0)),X1) = join(complement(join(X0,sF11)),join(sF11,X1)),
    inference(superposition,[],[f65,f46528]) ).

fof(f46528,plain,
    ! [X0] : join(sF11,complement(X0)) = join(sF11,complement(join(X0,sF11))),
    inference(superposition,[],[f29223,f20119]) ).

fof(f29223,plain,
    ! [X0] : join(sF11,X0) = join(sF11,complement(join(complement(X0),sF11))),
    inference(backward_demodulation,[],[f24005,f29221]) ).

fof(f29221,plain,
    ! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X1,X0)))),
    inference(forward_demodulation,[],[f29177,f73]) ).

fof(f29177,plain,
    ! [X2,X0,X1] : join(complement(X0),X2) = join(complement(join(X1,X0)),join(complement(X0),X2)),
    inference(superposition,[],[f65,f24732]) ).

fof(f24005,plain,
    ! [X0] : join(sF11,X0) = join(sF11,complement(join(complement(X0),join(sF11,complement(join(sF11,X0)))))),
    inference(forward_demodulation,[],[f24004,f2357]) ).

fof(f24004,plain,
    ! [X0] : join(sF11,X0) = join(sF11,complement(join(complement(X0),join(complement(join(sF11,X0)),sF11)))),
    inference(forward_demodulation,[],[f20557,f73]) ).

fof(f20557,plain,
    ! [X0] : join(sF11,X0) = join(sF11,complement(join(complement(join(sF11,X0)),join(sF11,complement(X0))))),
    inference(backward_demodulation,[],[f18296,f20119]) ).

fof(f18296,plain,
    ! [X0] : join(sF11,X0) = join(sF11,complement(join(complement(join(sF11,X0)),complement(complement(join(sF11,complement(X0))))))),
    inference(superposition,[],[f142,f17977]) ).

fof(f85726,plain,
    ! [X0] : join(sF12,join(sF11,X0)) = join(sF11,join(X0,complement(join(X0,sF11)))),
    inference(forward_demodulation,[],[f85466,f2]) ).

fof(f85466,plain,
    ! [X0] : join(sF12,join(sF11,X0)) = join(join(sF11,X0),complement(join(X0,sF11))),
    inference(superposition,[],[f85047,f21907]) ).

fof(f21907,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
    inference(forward_demodulation,[],[f21110,f517]) ).

fof(f21110,plain,
    ! [X0,X1] : join(X0,join(X0,X1)) = join(X1,composition(one,X0)),
    inference(backward_demodulation,[],[f8338,f20183]) ).

fof(f8338,plain,
    ! [X0,X1] : join(X0,join(X0,X1)) = join(X1,composition(join(one,one),X0)),
    inference(superposition,[],[f73,f7987]) ).

fof(f85047,plain,
    ! [X0] : join(sF12,X0) = join(X0,complement(join(sF11,X0))),
    inference(superposition,[],[f84826,f1]) ).

fof(f84826,plain,
    ! [X0] : join(sF12,X0) = join(X0,complement(join(X0,sF11))),
    inference(forward_demodulation,[],[f84825,f20119]) ).

fof(f84825,plain,
    ! [X0] : join(sF12,X0) = join(complement(complement(X0)),complement(join(X0,sF11))),
    inference(forward_demodulation,[],[f84824,f15950]) ).

fof(f15950,plain,
    ! [X0] : sF11 = join(sF11,complement(join(sF12,X0))),
    inference(forward_demodulation,[],[f15665,f1]) ).

fof(f15665,plain,
    ! [X0] : sF11 = join(complement(join(sF12,X0)),sF11),
    inference(superposition,[],[f745,f147]) ).

fof(f84824,plain,
    ! [X0] : join(sF12,X0) = join(complement(complement(X0)),complement(join(X0,join(sF11,complement(join(sF12,X0)))))),
    inference(forward_demodulation,[],[f84823,f74154]) ).

fof(f74154,plain,
    ! [X0,X1] : complement(join(X1,join(sF11,X0))) = complement(join(X0,join(X1,sF11))),
    inference(forward_demodulation,[],[f73930,f2]) ).

fof(f73930,plain,
    ! [X0,X1] : complement(join(join(X0,X1),sF11)) = complement(join(X1,join(sF11,X0))),
    inference(superposition,[],[f73652,f73]) ).

fof(f73652,plain,
    ! [X0] : complement(join(sF11,X0)) = complement(join(X0,sF11)),
    inference(forward_demodulation,[],[f73651,f29132]) ).

fof(f29132,plain,
    ! [X2,X0,X1] : complement(join(X1,X2)) = join(complement(join(X1,X2)),complement(join(X0,join(X2,X1)))),
    inference(superposition,[],[f24732,f5924]) ).

fof(f73651,plain,
    ! [X0] : complement(join(sF11,X0)) = join(complement(join(X0,sF11)),complement(join(sF12,join(sF11,X0)))),
    inference(forward_demodulation,[],[f73247,f73341]) ).

fof(f73341,plain,
    ! [X0] : complement(join(sF12,X0)) = complement(join(X0,sF12)),
    inference(forward_demodulation,[],[f73340,f21908]) ).

fof(f73340,plain,
    ! [X0] : complement(join(sF12,X0)) = complement(join(sF12,join(X0,sF12))),
    inference(forward_demodulation,[],[f73339,f2]) ).

fof(f73339,plain,
    ! [X0] : complement(join(sF12,X0)) = complement(join(join(sF12,X0),sF12)),
    inference(forward_demodulation,[],[f73163,f41127]) ).

fof(f41127,plain,
    ! [X0] : join(complement(join(sk3,complement(sk3))),X0) = X0,
    inference(backward_demodulation,[],[f32374,f41043]) ).

fof(f32374,plain,
    ! [X0] : join(complement(join(sk2,sF11)),X0) = X0,
    inference(superposition,[],[f32165,f1]) ).

fof(f32165,plain,
    ! [X0] : join(X0,complement(join(sk2,sF11))) = X0,
    inference(superposition,[],[f31450,f20119]) ).

fof(f31450,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(join(sk2,sF11))),
    inference(superposition,[],[f24733,f31293]) ).

fof(f31293,plain,
    ! [X0] : join(sk2,sF11) = join(X0,join(sk2,sF11)),
    inference(forward_demodulation,[],[f31270,f31224]) ).

fof(f31224,plain,
    ! [X0] : join(sk2,sF11) = join(sF11,join(sF12,X0)),
    inference(backward_demodulation,[],[f31135,f31220]) ).

fof(f31135,plain,
    ! [X0] : join(sF11,sF12) = join(sF11,join(sF12,X0)),
    inference(forward_demodulation,[],[f31134,f1]) ).

fof(f31134,plain,
    ! [X0] : join(sF12,sF11) = join(sF11,join(sF12,X0)),
    inference(forward_demodulation,[],[f31133,f17977]) ).

fof(f31133,plain,
    ! [X0] : join(sF12,complement(sF12)) = join(sF11,join(sF12,X0)),
    inference(forward_demodulation,[],[f31132,f73]) ).

fof(f31132,plain,
    ! [X0] : join(sF12,complement(sF12)) = join(sF12,join(X0,sF11)),
    inference(forward_demodulation,[],[f31050,f20119]) ).

fof(f31050,plain,
    ! [X0] : join(sF12,complement(sF12)) = join(sF12,complement(complement(join(X0,sF11)))),
    inference(superposition,[],[f22351,f18374]) ).

fof(f31270,plain,
    ! [X0] : join(sF11,join(sF12,X0)) = join(X0,join(sk2,sF11)),
    inference(superposition,[],[f73,f31220]) ).

fof(f73163,plain,
    ! [X0] : complement(join(sF12,X0)) = join(complement(join(sk3,complement(sk3))),complement(join(join(sF12,X0),sF12))),
    inference(superposition,[],[f43371,f41048]) ).

fof(f41048,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(sF11,join(sF12,X0)),
    inference(backward_demodulation,[],[f31224,f41043]) ).

fof(f73247,plain,
    ! [X0] : complement(join(sF11,X0)) = join(complement(join(X0,sF11)),complement(join(join(sF11,X0),sF12))),
    inference(superposition,[],[f43371,f21907]) ).

fof(f84823,plain,
    ! [X0] : join(sF12,X0) = join(complement(complement(X0)),complement(join(complement(join(sF12,X0)),join(X0,sF11)))),
    inference(forward_demodulation,[],[f84822,f20119]) ).

fof(f84822,plain,
    ! [X0] : join(sF12,X0) = join(complement(complement(X0)),complement(join(complement(join(sF12,X0)),complement(complement(join(X0,sF11)))))),
    inference(forward_demodulation,[],[f84695,f1]) ).

fof(f84695,plain,
    ! [X0] : join(sF12,X0) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,sF11))),complement(join(sF12,X0))))),
    inference(superposition,[],[f1524,f44798]) ).

fof(f44798,plain,
    ! [X0] : complement(X0) = join(complement(join(X0,sF11)),complement(join(sF12,X0))),
    inference(superposition,[],[f1225,f20119]) ).

fof(f1225,plain,
    ! [X0] : join(complement(join(complement(X0),sF11)),complement(join(sF12,complement(X0)))) = X0,
    inference(superposition,[],[f150,f1]) ).

fof(f1524,plain,
    ! [X0,X1] : join(complement(join(X1,complement(X0))),complement(join(complement(X1),complement(X0)))) = X0,
    inference(superposition,[],[f144,f1]) ).

fof(f48142,plain,
    ! [X0] : join(sF11,complement(X0)) = join(sF11,complement(join(sF11,X0))),
    inference(superposition,[],[f46528,f1]) ).

fof(f43371,plain,
    ! [X0] : complement(X0) = join(complement(join(sF11,X0)),complement(join(X0,sF12))),
    inference(superposition,[],[f1222,f20119]) ).

fof(f1222,plain,
    ! [X0] : join(complement(join(sF11,complement(X0))),complement(join(complement(X0),sF12))) = X0,
    inference(superposition,[],[f150,f1]) ).

fof(f9359,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,X1)),
    inference(forward_demodulation,[],[f9358,f9281]) ).

fof(f9281,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,join(composition(sF1,X0),X1))),
    inference(superposition,[],[f8765,f73]) ).

fof(f8765,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(composition(sF1,X0),X1)),
    inference(superposition,[],[f2,f8574]) ).

fof(f9358,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,join(composition(sF1,X0),X2))),
    inference(forward_demodulation,[],[f9357,f562]) ).

fof(f9357,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(composition(sF1,X0),join(X1,join(X0,X2))),
    inference(forward_demodulation,[],[f9303,f2]) ).

fof(f9303,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(composition(sF1,X0),X1),join(X0,X2)),
    inference(superposition,[],[f65,f8765]) ).

fof(f87524,plain,
    ! [X0,X1] : join(X1,join(X0,complement(X0))) = join(sF12,join(X1,join(X0,complement(X0)))),
    inference(superposition,[],[f558,f86814]) ).

fof(f87910,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(sF11,join(X0,complement(X0))),
    inference(backward_demodulation,[],[f86691,f87905]) ).

fof(f86691,plain,
    ! [X0,X1] : join(sk3,complement(sk3)) = join(sF11,join(X1,join(X0,complement(X0)))),
    inference(forward_demodulation,[],[f86624,f41057]) ).

fof(f41057,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(X0,join(sk3,complement(sk3))),
    inference(backward_demodulation,[],[f31293,f41043]) ).

fof(f86624,plain,
    ! [X0,X1] : join(X1,join(sk3,complement(sk3))) = join(sF11,join(X1,join(X0,complement(X0)))),
    inference(superposition,[],[f558,f85730]) ).

fof(f41096,plain,
    ! [X0] : join(X0,complement(join(sk3,complement(sk3)))) = X0,
    inference(backward_demodulation,[],[f32165,f41043]) ).

fof(f335567,plain,
    join(sF13,sF8) = join(sF13,complement(join(sk3,complement(sk3)))),
    inference(forward_demodulation,[],[f335512,f20119]) ).

fof(f335512,plain,
    join(sF13,complement(join(sk3,complement(sk3)))) = join(sF13,complement(complement(sF8))),
    inference(superposition,[],[f87621,f335235]) ).

fof(f335235,plain,
    join(sk3,complement(sk3)) = join(sF13,complement(sF8)),
    inference(forward_demodulation,[],[f335234,f87915]) ).

fof(f335234,plain,
    join(sF8,complement(sF8)) = join(sF13,complement(sF8)),
    inference(forward_demodulation,[],[f335233,f1]) ).

fof(f335233,plain,
    join(complement(sF8),sF8) = join(sF13,complement(sF8)),
    inference(forward_demodulation,[],[f335232,f22474]) ).

fof(f22474,plain,
    ! [X0] : join(sF4,join(complement(composition(sk1,sk3)),X0)) = join(complement(sF8),X0),
    inference(backward_demodulation,[],[f71,f22471]) ).

fof(f71,plain,
    ! [X0] : join(sF4,join(complement(composition(sk1,sk3)),X0)) = join(sF7,X0),
    inference(superposition,[],[f2,f46]) ).

fof(f335232,plain,
    join(sF13,complement(sF8)) = join(sF4,join(complement(composition(sk1,sk3)),sF8)),
    inference(forward_demodulation,[],[f334956,f73]) ).

fof(f334956,plain,
    join(sF13,complement(sF8)) = join(complement(composition(sk1,sk3)),join(sF8,sF4)),
    inference(superposition,[],[f334799,f22473]) ).

fof(f22473,plain,
    join(sF4,complement(composition(sk1,sk3))) = complement(sF8),
    inference(backward_demodulation,[],[f46,f22471]) ).

fof(f334799,plain,
    ! [X0] : join(X0,join(sF8,sF4)) = join(sF13,join(sF4,X0)),
    inference(superposition,[],[f73,f334775]) ).

fof(f334775,plain,
    join(sF8,sF4) = join(sF13,sF4),
    inference(forward_demodulation,[],[f334774,f34639]) ).

fof(f34639,plain,
    join(sF8,sF4) = join(composition(sk1,sk3),sF4),
    inference(forward_demodulation,[],[f34638,f1]) ).

fof(f34638,plain,
    join(sF4,sF8) = join(composition(sk1,sk3),sF4),
    inference(forward_demodulation,[],[f34637,f1]) ).

fof(f34637,plain,
    join(sF4,sF8) = join(sF4,composition(sk1,sk3)),
    inference(forward_demodulation,[],[f34602,f20119]) ).

fof(f34602,plain,
    join(sF4,composition(sk1,sk3)) = join(sF4,complement(complement(sF8))),
    inference(superposition,[],[f34060,f22473]) ).

fof(f34060,plain,
    ! [X0] : join(sF4,X0) = join(sF4,complement(join(sF4,complement(X0)))),
    inference(superposition,[],[f29222,f1]) ).

fof(f29222,plain,
    ! [X0] : join(sF4,X0) = join(sF4,complement(join(complement(X0),sF4))),
    inference(backward_demodulation,[],[f2429,f29221]) ).

fof(f2429,plain,
    ! [X0] : join(sF4,X0) = join(sF4,complement(join(complement(X0),join(sF4,complement(join(sF4,X0)))))),
    inference(superposition,[],[f159,f47]) ).

fof(f334774,plain,
    join(composition(sk1,sk3),sF4) = join(sF13,sF4),
    inference(forward_demodulation,[],[f334773,f1]) ).

fof(f334773,plain,
    join(composition(sk1,sk3),sF4) = join(sF4,sF13),
    inference(forward_demodulation,[],[f334751,f316495]) ).

fof(f316495,plain,
    ! [X0] : join(composition(sk1,X0),sF4) = join(sF4,composition(sk1,join(X0,complement(sk2)))),
    inference(superposition,[],[f311994,f275082]) ).

fof(f275082,plain,
    ! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
    inference(forward_demodulation,[],[f274674,f8]) ).

fof(f274674,plain,
    ! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
    inference(superposition,[],[f8,f1949]) ).

fof(f1949,plain,
    ! [X2,X0,X1] : converse(join(composition(X1,X2),composition(X1,X0))) = converse(composition(X1,join(X2,X0))),
    inference(forward_demodulation,[],[f1948,f10]) ).

fof(f1948,plain,
    ! [X2,X0,X1] : converse(join(composition(X1,X2),composition(X1,X0))) = composition(converse(join(X2,X0)),converse(X1)),
    inference(forward_demodulation,[],[f1947,f9]) ).

fof(f1947,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X0)),converse(X1)) = converse(join(composition(X1,X2),composition(X1,X0))),
    inference(forward_demodulation,[],[f1909,f9]) ).

fof(f1909,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X0)),converse(X1)) = join(converse(composition(X1,X2)),converse(composition(X1,X0))),
    inference(superposition,[],[f100,f10]) ).

fof(f311994,plain,
    ! [X0] : join(X0,sF4) = join(sF4,join(X0,composition(sk1,complement(sk2)))),
    inference(backward_demodulation,[],[f42474,f311929]) ).

fof(f311929,plain,
    ! [X0] : composition(sk1,complement(composition(sF1,X0))) = composition(sk1,complement(X0)),
    inference(forward_demodulation,[],[f311830,f19243]) ).

fof(f19243,plain,
    ! [X0] : complement(composition(sF1,X0)) = join(complement(X0),complement(composition(sF1,X0))),
    inference(forward_demodulation,[],[f19166,f1]) ).

fof(f19166,plain,
    ! [X0] : complement(composition(sF1,X0)) = join(complement(composition(sF1,X0)),complement(X0)),
    inference(superposition,[],[f15762,f16488]) ).

fof(f16488,plain,
    ! [X0] : join(X0,complement(complement(composition(sF1,X0)))) = X0,
    inference(forward_demodulation,[],[f16487,f8574]) ).

fof(f16487,plain,
    ! [X0] : join(X0,composition(sF1,X0)) = join(X0,complement(complement(composition(sF1,X0)))),
    inference(forward_demodulation,[],[f16420,f1]) ).

fof(f16420,plain,
    ! [X0] : join(X0,composition(sF1,X0)) = join(complement(complement(composition(sF1,X0))),X0),
    inference(superposition,[],[f8767,f15960]) ).

fof(f8767,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF1,X0),X1)),
    inference(superposition,[],[f73,f8574]) ).

fof(f311830,plain,
    ! [X0] : composition(sk1,complement(X0)) = composition(sk1,join(complement(X0),complement(composition(sF1,X0)))),
    inference(superposition,[],[f304222,f495]) ).

fof(f495,plain,
    ! [X0] : complement(X0) = join(complement(X0),composition(sF1,complement(composition(sF1,X0)))),
    inference(superposition,[],[f57,f440]) ).

fof(f440,plain,
    sF1 = converse(sF1),
    inference(superposition,[],[f64,f48]) ).

fof(f48,plain,
    composition(converse(sk1),sk1) = sF1,
    inference(backward_demodulation,[],[f24,f23]) ).

fof(f304222,plain,
    ! [X0,X1] : composition(sk1,join(X1,X0)) = composition(sk1,join(X1,composition(sF1,X0))),
    inference(forward_demodulation,[],[f303800,f275082]) ).

fof(f303800,plain,
    ! [X0,X1] : composition(sk1,join(X1,composition(sF1,X0))) = join(composition(sk1,X1),composition(sk1,X0)),
    inference(superposition,[],[f275082,f24526]) ).

fof(f24526,plain,
    ! [X0] : composition(sk1,X0) = composition(sk1,composition(sF1,X0)),
    inference(superposition,[],[f5,f24335]) ).

fof(f24335,plain,
    sk1 = composition(sk1,sF1),
    inference(forward_demodulation,[],[f24334,f24262]) ).

fof(f24262,plain,
    ! [X0] : join(X0,composition(X0,sF1)) = X0,
    inference(forward_demodulation,[],[f24261,f440]) ).

fof(f24261,plain,
    ! [X0] : join(X0,composition(X0,converse(sF1))) = X0,
    inference(forward_demodulation,[],[f20695,f63]) ).

fof(f63,plain,
    ! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
    inference(superposition,[],[f10,f8]) ).

fof(f20695,plain,
    ! [X0] : join(X0,converse(composition(sF1,converse(X0)))) = X0,
    inference(backward_demodulation,[],[f19282,f20119]) ).

fof(f19282,plain,
    ! [X0] : join(X0,converse(complement(complement(composition(sF1,converse(X0)))))) = X0,
    inference(forward_demodulation,[],[f19212,f8]) ).

fof(f19212,plain,
    ! [X0] : converse(converse(X0)) = join(X0,converse(complement(complement(composition(sF1,converse(X0)))))),
    inference(superposition,[],[f58,f16488]) ).

fof(f58,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[],[f9,f8]) ).

fof(f24334,plain,
    composition(sk1,sF1) = join(sk1,composition(sk1,sF1)),
    inference(forward_demodulation,[],[f20754,f20119]) ).

fof(f20754,plain,
    composition(sk1,complement(complement(sF1))) = join(sk1,composition(sk1,complement(complement(sF1)))),
    inference(backward_demodulation,[],[f17966,f20119]) ).

fof(f17966,plain,
    composition(complement(complement(sk1)),complement(complement(sF1))) = join(complement(complement(sk1)),composition(complement(complement(sk1)),complement(complement(sF1)))),
    inference(backward_demodulation,[],[f4323,f17965]) ).

fof(f17965,plain,
    complement(sF1) = join(complement(one),complement(sF1)),
    inference(forward_demodulation,[],[f17793,f1]) ).

fof(f17793,plain,
    complement(sF1) = join(complement(sF1),complement(one)),
    inference(superposition,[],[f15762,f16509]) ).

fof(f16509,plain,
    one = join(one,complement(complement(sF1))),
    inference(forward_demodulation,[],[f16508,f52]) ).

fof(f16508,plain,
    join(one,sF1) = join(one,complement(complement(sF1))),
    inference(forward_demodulation,[],[f16435,f1]) ).

fof(f16435,plain,
    join(one,sF1) = join(complement(complement(sF1)),one),
    inference(superposition,[],[f690,f15960]) ).

fof(f690,plain,
    ! [X0] : join(one,join(sF1,X0)) = join(X0,one),
    inference(forward_demodulation,[],[f637,f73]) ).

fof(f637,plain,
    ! [X0] : join(X0,one) = join(sF1,join(X0,one)),
    inference(superposition,[],[f73,f52]) ).

fof(f4323,plain,
    composition(complement(complement(sk1)),complement(join(complement(one),complement(sF1)))) = join(complement(complement(sk1)),composition(complement(complement(sk1)),complement(join(complement(one),complement(sF1))))),
    inference(forward_demodulation,[],[f4322,f531]) ).

fof(f4322,plain,
    composition(complement(join(complement(sk1),complement(sk1))),complement(join(complement(one),complement(sF1)))) = join(complement(join(complement(sk1),complement(sk1))),composition(complement(join(complement(sk1),complement(sk1))),complement(join(complement(one),complement(sF1))))),
    inference(forward_demodulation,[],[f4321,f6]) ).

fof(f4321,plain,
    composition(complement(join(complement(sk1),complement(composition(sk1,one)))),complement(join(complement(one),complement(sF1)))) = join(complement(join(complement(sk1),complement(sk1))),composition(complement(join(complement(sk1),complement(composition(sk1,one)))),complement(join(complement(one),complement(sF1))))),
    inference(forward_demodulation,[],[f4291,f507]) ).

fof(f4291,plain,
    composition(complement(join(complement(sk1),complement(composition(sk1,converse(one))))),complement(join(complement(one),complement(sF1)))) = join(complement(join(complement(sk1),complement(sk1))),composition(complement(join(complement(sk1),complement(composition(sk1,converse(one))))),complement(join(complement(one),complement(sF1))))),
    inference(superposition,[],[f296,f6]) ).

fof(f296,plain,
    ! [X0] : composition(complement(join(complement(sk1),complement(composition(sk1,converse(X0))))),complement(join(complement(X0),complement(sF1)))) = join(complement(join(complement(sk1),complement(composition(sk1,X0)))),composition(complement(join(complement(sk1),complement(composition(sk1,converse(X0))))),complement(join(complement(X0),complement(sF1))))),
    inference(forward_demodulation,[],[f284,f1]) ).

fof(f284,plain,
    ! [X0] : composition(complement(join(complement(sk1),complement(composition(sk1,converse(X0))))),complement(join(complement(X0),complement(sF1)))) = join(complement(join(complement(composition(sk1,X0)),complement(sk1))),composition(complement(join(complement(sk1),complement(composition(sk1,converse(X0))))),complement(join(complement(X0),complement(sF1))))),
    inference(superposition,[],[f20,f48]) ).

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5,axiom,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f42474,plain,
    ! [X0] : join(X0,sF4) = join(sF4,join(X0,composition(sk1,complement(composition(sF1,sk2))))),
    inference(superposition,[],[f558,f42432]) ).

fof(f42432,plain,
    sF4 = join(sF4,composition(sk1,complement(composition(sF1,sk2)))),
    inference(superposition,[],[f1066,f86]) ).

fof(f86,plain,
    ! [X0] : composition(converse(sk1),composition(sk1,X0)) = composition(sF1,X0),
    inference(superposition,[],[f5,f48]) ).

fof(f1066,plain,
    ! [X0] : sF4 = join(sF4,composition(X0,complement(composition(converse(X0),composition(sk1,sk2))))),
    inference(superposition,[],[f122,f8]) ).

fof(f122,plain,
    ! [X0] : sF4 = join(sF4,composition(converse(X0),complement(composition(X0,composition(sk1,sk2))))),
    inference(superposition,[],[f57,f47]) ).

fof(f334751,plain,
    join(sF4,sF13) = join(sF4,composition(sk1,join(sk3,complement(sk2)))),
    inference(superposition,[],[f311995,f275827]) ).

fof(f275827,plain,
    join(sF13,composition(sk1,complement(sk2))) = composition(sk1,join(sk3,complement(sk2))),
    inference(superposition,[],[f275754,f19763]) ).

fof(f19763,plain,
    join(sk3,complement(sk2)) = join(complement(sk2),sF12),
    inference(forward_demodulation,[],[f19762,f36]) ).

fof(f19762,plain,
    join(sk3,complement(sk2)) = join(complement(sk2),complement(sF11)),
    inference(backward_demodulation,[],[f18137,f19753]) ).

fof(f18137,plain,
    join(sk3,complement(sk2)) = join(complement(sk2),complement(join(sF11,complement(join(sk3,complement(sk2)))))),
    inference(forward_demodulation,[],[f17986,f1]) ).

fof(f17986,plain,
    join(sk3,complement(sk2)) = join(complement(sk2),complement(join(complement(join(sk3,complement(sk2))),sF11))),
    inference(backward_demodulation,[],[f1546,f17977]) ).

fof(f1546,plain,
    join(sk3,complement(sk2)) = join(complement(sk2),complement(join(complement(join(sk3,complement(sk2))),complement(sF12)))),
    inference(superposition,[],[f144,f1542]) ).

fof(f1542,plain,
    sk2 = join(sF12,complement(join(sk3,complement(sk2)))),
    inference(forward_demodulation,[],[f1541,f1]) ).

fof(f1541,plain,
    sk2 = join(complement(join(sk3,complement(sk2))),sF12),
    inference(forward_demodulation,[],[f1523,f36]) ).

fof(f1523,plain,
    sk2 = join(complement(join(sk3,complement(sk2))),complement(sF11)),
    inference(superposition,[],[f144,f44]) ).

fof(f311995,plain,
    ! [X0] : join(sF4,X0) = join(sF4,join(X0,composition(sk1,complement(sk2)))),
    inference(backward_demodulation,[],[f42482,f311929]) ).

fof(f42482,plain,
    ! [X0] : join(sF4,X0) = join(sF4,join(X0,composition(sk1,complement(composition(sF1,sk2))))),
    inference(forward_demodulation,[],[f42471,f73]) ).

fof(f42471,plain,
    ! [X0] : join(sF4,X0) = join(composition(sk1,complement(composition(sF1,sk2))),join(sF4,X0)),
    inference(superposition,[],[f65,f42432]) ).

fof(f87621,plain,
    ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
    inference(superposition,[],[f22364,f20119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : REL040-10 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.11  % Command    : run_vampire %s %d THM
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun Jun 23 06:05:24 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15243)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 (2999ds/129Mi)
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15245)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 (2999ds/214Mi)
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15242)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (2999ds/143Mi)
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15239)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 (2999ds/107869Mi)
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15244)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 (2999ds/735Mi)
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15241)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 (2999ds/126Mi)
% 0.20/0.41  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15240)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 (2999ds/220312Mi)
% 0.20/0.48  % (15243)Instruction limit reached!
% 0.20/0.48  % (15243)------------------------------
% 0.20/0.48  % (15243)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48  % (15243)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48  % (15243)Termination reason: Time limit
% 0.20/0.48  % (15243)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (15243)Memory used [KB]: 2776
% 0.20/0.48  % (15243)Time elapsed: 0.068 s
% 0.20/0.48  % (15243)Instructions burned: 129 (million)
% 0.20/0.48  % (15241)Instruction limit reached!
% 0.20/0.48  % (15241)------------------------------
% 0.20/0.48  % (15241)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48  % (15241)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48  % (15241)Termination reason: Time limit
% 0.20/0.48  % (15241)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (15241)Memory used [KB]: 2676
% 0.20/0.48  % (15241)Time elapsed: 0.070 s
% 0.20/0.48  % (15241)Instructions burned: 126 (million)
% 0.20/0.48  % (15242)Instruction limit reached!
% 0.20/0.48  % (15242)------------------------------
% 0.20/0.48  % (15242)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48  % (15242)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48  % (15242)Termination reason: Time limit
% 0.20/0.48  % (15242)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (15242)Memory used [KB]: 1617
% 0.20/0.48  % (15242)Time elapsed: 0.075 s
% 0.20/0.48  % (15242)Instructions burned: 144 (million)
% 0.20/0.52  % (15245)Instruction limit reached!
% 0.20/0.52  % (15245)------------------------------
% 0.20/0.52  % (15245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52  % (15245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52  % (15245)Termination reason: Time limit
% 0.20/0.52  % (15245)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (15245)Memory used [KB]: 2640
% 0.20/0.52  % (15245)Time elapsed: 0.110 s
% 0.20/0.52  % (15245)Instructions burned: 215 (million)
% 0.20/0.53  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53  % (15246)lrs+10_1:64_sil=8000:tgt=full:spb=non_intro:i=204:kws=precedence:plsq=on:awrs=converge:awrsf=30:sp=weighted_frequency:drc=encompass:irc=eager_0 on theBenchmark for (2998ds/204Mi)
% 0.20/0.53  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53  % (15248)lrs+10_3:58_drc=encompass:sil=256000:tgt=full:bsd=on:sp=reverse_arity:lwlo=on:s2a=on:i=365:s2at=2.0:kws=precedence:bsr=on:irw=on:dpc=on:fibus=on:doe=on:bs=on:br=off:erd=off:s2agt=20:nwc=8.95214440448525:cond=fast:foolp=on:spb=non_intro:sfv=off:irc=lazy:fde=unused:ins=3_0 on theBenchmark for (2998ds/365Mi)
% 0.20/0.55  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.55  % (15247)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=444:fd=preordered:irc=eager:bd=preordered:ss=axioms_0 on theBenchmark for (2998ds/444Mi)
% 0.20/0.58  % (15238)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.58  % (15249)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)
% 2.11/0.64  % (15246)Instruction limit reached!
% 2.11/0.64  % (15246)------------------------------
% 2.11/0.64  % (15246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.11/0.64  % (15246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.11/0.64  % (15246)Termination reason: Time limit
% 2.11/0.64  % (15246)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (15246)Memory used [KB]: 2931
% 2.11/0.64  % (15246)Time elapsed: 0.110 s
% 2.11/0.64  % (15246)Instructions burned: 206 (million)
% 2.53/0.71  % (15238)Running in auto input_syntax mode. Trying TPTP
% 2.53/0.71  % (15250)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2997ds/2789Mi)
% 2.53/0.71  % (15248)Instruction limit reached!
% 2.53/0.71  % (15248)------------------------------
% 2.53/0.71  % (15248)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.53/0.71  % (15248)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.53/0.71  % (15248)Termination reason: Time limit
% 2.53/0.71  % (15248)Termination phase: Saturation
% 2.53/0.71  
% 2.53/0.71  % (15248)Memory used [KB]: 5528
% 2.53/0.71  % (15248)Time elapsed: 0.179 s
% 2.53/0.71  % (15248)Instructions burned: 366 (million)
% 2.80/0.78  % (15249)Instruction limit reached!
% 2.80/0.78  % (15249)------------------------------
% 2.80/0.78  % (15249)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.78  % (15249)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.78  % (15249)Termination reason: Time limit
% 2.80/0.78  % (15249)Termination phase: Saturation
% 2.80/0.78  
% 2.80/0.78  % (15249)Memory used [KB]: 5103
% 2.80/0.78  % (15249)Time elapsed: 0.201 s
% 2.80/0.78  % (15249)Instructions burned: 391 (million)
% 2.80/0.78  % (15238)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.78  % (15251)lrs+10_1:3_drc=encompass:sil=256000:tgt=ground:sp=unary_first:i=975:ss=axioms:sgt=10:rawr=on:urr=on:ins=1:plsq=on:dpc=on:spb=intro:sd=4:fsr=off:bs=on:kws=inv_arity:irc=lazy:nwc=5.0_0 on theBenchmark for (2996ds/975Mi)
% 2.80/0.78  % (15247)Instruction limit reached!
% 2.80/0.78  % (15247)------------------------------
% 2.80/0.78  % (15247)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.78  % (15247)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.78  % (15247)Termination reason: Time limit
% 2.80/0.78  % (15247)Termination phase: Saturation
% 2.80/0.78  
% 2.80/0.78  % (15247)Memory used [KB]: 5652
% 2.80/0.78  % (15247)Time elapsed: 0.237 s
% 2.80/0.78  % (15247)Instructions burned: 444 (million)
% 2.80/0.83  % (15244)Instruction limit reached!
% 2.80/0.83  % (15244)------------------------------
% 2.80/0.83  % (15244)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.80/0.83  % (15244)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.80/0.83  % (15244)Termination reason: Time limit
% 2.80/0.83  % (15244)Termination phase: Saturation
% 2.80/0.83  
% 2.80/0.83  % (15244)Memory used [KB]: 10839
% 2.80/0.83  % (15244)Time elapsed: 0.422 s
% 2.80/0.83  % (15244)Instructions burned: 736 (million)
% 2.80/0.85  % (15238)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.85  % (15252)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 (2995ds/6970Mi)
% 2.80/0.85  % (15238)Running in auto input_syntax mode. Trying TPTP
% 2.80/0.85  % (15253)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 (2995ds/522Mi)
% 3.21/0.90  % (15238)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.90  % (15254)lrs+10_1:1024_drc=encompass:sil=8000:tgt=ground:fde=unused:sp=const_min:spb=goal:kmz=on:i=1381:kws=inv_arity:awrs=converge:awrsf=200:irc=eager_0 on theBenchmark for (2995ds/1381Mi)
% 3.54/1.07  % (15253)Instruction limit reached!
% 3.54/1.07  % (15253)------------------------------
% 3.54/1.07  % (15253)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.54/1.07  % (15253)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.54/1.07  % (15253)Termination reason: Time limit
% 3.54/1.07  % (15253)Termination phase: Saturation
% 3.54/1.07  
% 3.54/1.07  % (15253)Memory used [KB]: 2984
% 3.54/1.07  % (15253)Time elapsed: 0.231 s
% 3.54/1.07  % (15253)Instructions burned: 523 (million)
% 3.54/1.16  % (15238)Running in auto input_syntax mode. Trying TPTP
% 3.54/1.16  % (15255)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 (2992ds/589Mi)
% 6.39/1.31  % (15251)Instruction limit reached!
% 6.39/1.31  % (15251)------------------------------
% 6.39/1.31  % (15251)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.39/1.31  % (15251)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.39/1.31  % (15251)Termination reason: Time limit
% 6.39/1.31  % (15251)Termination phase: Saturation
% 6.39/1.31  
% 6.39/1.31  % (15251)Memory used [KB]: 8650
% 6.39/1.31  % (15251)Time elapsed: 0.532 s
% 6.39/1.31  % (15251)Instructions burned: 976 (million)
% 7.28/1.39  % (15238)Running in auto input_syntax mode. Trying TPTP
% 7.28/1.39  % (15256)lrs+10_1:4_bsr=on:slsqr=2,7:to=lpo:drc=encompass:sil=16000:tgt=full:sp=unary_first:spb=goal:slsq=on:i=659:slsql=off:ins=2:irc=eager:rawr=on:nwc=8.7296035496261:erd=off:s2pl=no:cond=fast:plsq=on:sims=off_0 on theBenchmark for (2990ds/659Mi)
% 7.60/1.49  % (15255)Instruction limit reached!
% 7.60/1.49  % (15255)------------------------------
% 7.60/1.49  % (15255)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.60/1.49  % (15255)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.60/1.49  % (15255)Termination reason: Time limit
% 7.60/1.49  % (15255)Termination phase: Saturation
% 7.60/1.49  
% 7.60/1.49  % (15255)Memory used [KB]: 7300
% 7.60/1.49  % (15255)Time elapsed: 0.337 s
% 7.60/1.49  % (15255)Instructions burned: 589 (million)
% 8.18/1.58  % (15238)Running in auto input_syntax mode. Trying TPTP
% 8.18/1.58  % (15257)lrs+10_1:1_sil=4000:sp=occurrence:i=1397:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2988ds/1397Mi)
% 8.89/1.70  % (15254)Instruction limit reached!
% 8.89/1.70  % (15254)------------------------------
% 8.89/1.70  % (15254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.89/1.70  % (15254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.89/1.70  % (15254)Termination reason: Time limit
% 8.89/1.70  % (15254)Termination phase: Saturation
% 8.89/1.70  
% 8.89/1.70  % (15254)Memory used [KB]: 17097
% 8.89/1.70  % (15254)Time elapsed: 0.802 s
% 8.89/1.70  % (15254)Instructions burned: 1381 (million)
% 8.89/1.75  % (15256)Instruction limit reached!
% 8.89/1.75  % (15256)------------------------------
% 8.89/1.75  % (15256)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.89/1.75  % (15256)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.89/1.75  % (15256)Termination reason: Time limit
% 8.89/1.75  % (15256)Termination phase: Saturation
% 8.89/1.75  
% 8.89/1.75  % (15256)Memory used [KB]: 6988
% 8.89/1.75  % (15256)Time elapsed: 0.361 s
% 8.89/1.75  % (15256)Instructions burned: 660 (million)
% 9.96/1.78  % (15238)Running in auto input_syntax mode. Trying TPTP
% 9.96/1.78  % (15258)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 (2986ds/856Mi)
% 10.30/1.82  % (15238)Running in auto input_syntax mode. Trying TPTP
% 10.30/1.82  % (15259)lrs+10_1:28_drc=encompass:sil=256000:tgt=full:spb=intro:i=918:kws=precedence:awrs=converge:awrsf=240:ss=axioms:rawr=on:irc=lazy:st=3.0:sp=const_frequency_0 on theBenchmark for (2986ds/918Mi)
% 12.28/2.22  % (15250)Instruction limit reached!
% 12.28/2.22  % (15250)------------------------------
% 12.28/2.22  % (15250)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.28/2.22  % (15250)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.28/2.22  % (15250)Termination reason: Time limit
% 12.28/2.22  % (15250)Termination phase: Saturation
% 12.28/2.22  
% 12.28/2.22  % (15250)Memory used [KB]: 30334
% 12.28/2.22  % (15250)Time elapsed: 1.510 s
% 12.28/2.22  % (15250)Instructions burned: 2789 (million)
% 12.73/2.27  % (15258)Instruction limit reached!
% 12.73/2.27  % (15258)------------------------------
% 12.73/2.27  % (15258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.73/2.27  % (15258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.73/2.27  % (15258)Termination reason: Time limit
% 12.73/2.27  % (15258)Termination phase: Saturation
% 12.73/2.27  
% 12.73/2.27  % (15258)Memory used [KB]: 9057
% 12.73/2.27  % (15258)Time elapsed: 0.499 s
% 12.73/2.27  % (15258)Instructions burned: 856 (million)
% 12.73/2.28  % (15238)Running in auto input_syntax mode. Trying TPTP
% 12.73/2.28  % (15260)lrs+10_1:25_to=lpo:drc=encompass:sil=2000:fde=none:sp=const_min:fd=preordered:i=1093_0 on theBenchmark for (2981ds/1093Mi)
% 13.61/2.34  % (15257)Instruction limit reached!
% 13.61/2.34  % (15257)------------------------------
% 13.61/2.34  % (15257)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.61/2.34  % (15257)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.61/2.34  % (15257)Termination reason: Time limit
% 13.61/2.34  % (15257)Termination phase: Saturation
% 13.61/2.34  
% 13.61/2.34  % (15257)Memory used [KB]: 10097
% 13.61/2.34  % (15257)Time elapsed: 0.763 s
% 13.61/2.34  % (15257)Instructions burned: 1397 (million)
% 13.61/2.35  % (15259)Instruction limit reached!
% 13.61/2.35  % (15259)------------------------------
% 13.61/2.35  % (15259)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.61/2.35  % (15259)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.61/2.35  % (15259)Termination reason: Time limit
% 13.61/2.35  % (15259)Termination phase: Saturation
% 13.61/2.35  
% 13.61/2.35  % (15259)Memory used [KB]: 12286
% 13.61/2.35  % (15259)Time elapsed: 0.528 s
% 13.61/2.35  % (15259)Instructions burned: 918 (million)
% 13.61/2.35  % (15238)Running in auto input_syntax mode. Trying TPTP
% 13.61/2.35  % (15261)ott+10_1:2_sil=256000:tgt=ground:sp=reverse_frequency:spb=goal:i=1333:kws=precedence:irc=lazy_0 on theBenchmark for (2980ds/1333Mi)
% 14.13/2.40  % (15238)Running in auto input_syntax mode. Trying TPTP
% 14.13/2.40  % (15263)dis+10_1:1_sil=256000:nwc=10.0:s2agt=32:s2a=on:i=1724:fde=none:fd=off_0 on theBenchmark for (2980ds/1724Mi)
% 14.13/2.40  % (15238)Running in auto input_syntax mode. Trying TPTP
% 14.13/2.40  % (15262)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 (2980ds/23534Mi)
% 17.38/2.85  % (15260)Instruction limit reached!
% 17.38/2.85  % (15260)------------------------------
% 17.38/2.85  % (15260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.38/2.85  % (15260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.38/2.85  % (15260)Termination reason: Time limit
% 17.38/2.85  % (15260)Termination phase: Saturation
% 17.38/2.85  
% 17.38/2.85  % (15260)Memory used [KB]: 8243
% 17.38/2.85  % (15260)Time elapsed: 0.568 s
% 17.38/2.85  % (15260)Instructions burned: 1093 (million)
% 17.83/2.92  % (15238)Running in auto input_syntax mode. Trying TPTP
% 17.83/2.92  % (15264)lrs+10_11:1_sil=4000:fde=none:nwc=5.0:st=3.0:i=1762:bd=off:ss=axioms:fd=off_0 on theBenchmark for (2975ds/1762Mi)
% 19.02/3.10  % (15261)Instruction limit reached!
% 19.02/3.10  % (15261)------------------------------
% 19.02/3.10  % (15261)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.02/3.10  % (15261)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.02/3.10  % (15261)Termination reason: Time limit
% 19.02/3.10  % (15261)Termination phase: Saturation
% 19.02/3.10  
% 19.02/3.10  % (15261)Memory used [KB]: 15057
% 19.02/3.10  % (15261)Time elapsed: 0.747 s
% 19.02/3.10  % (15261)Instructions burned: 1333 (million)
% 19.09/3.17  % (15238)Running in auto input_syntax mode. Trying TPTP
% 19.09/3.17  % (15265)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 (2972ds/3083Mi)
% 19.53/3.28  % (15263)Instruction limit reached!
% 19.53/3.28  % (15263)------------------------------
% 19.53/3.28  % (15263)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.53/3.28  % (15263)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.53/3.28  % (15263)Termination reason: Time limit
% 19.53/3.28  % (15263)Termination phase: Saturation
% 19.53/3.28  
% 19.53/3.28  % (15263)Memory used [KB]: 22130
% 19.53/3.28  % (15263)Time elapsed: 0.881 s
% 19.53/3.28  % (15263)Instructions burned: 1725 (million)
% 19.98/3.35  % (15238)Running in auto input_syntax mode. Trying TPTP
% 19.98/3.35  % (15266)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 (2970ds/4105Mi)
% 23.35/3.70  % (15264)Instruction limit reached!
% 23.35/3.70  % (15264)------------------------------
% 23.35/3.70  % (15264)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.35/3.70  % (15264)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.35/3.70  % (15264)Termination reason: Time limit
% 23.35/3.70  % (15264)Termination phase: Saturation
% 23.35/3.70  
% 23.35/3.70  % (15264)Memory used [KB]: 6079
% 23.35/3.70  % (15264)Time elapsed: 0.781 s
% 23.35/3.70  % (15264)Instructions burned: 1763 (million)
% 23.64/3.75  % (15238)Running in auto input_syntax mode. Trying TPTP
% 23.64/3.75  % (15267)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 (2966ds/9762Mi)
% 30.05/4.69  % (15252)Instruction limit reached!
% 30.05/4.69  % (15252)------------------------------
% 30.05/4.69  % (15252)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.05/4.69  % (15252)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.05/4.69  % (15252)Termination reason: Time limit
% 30.05/4.69  % (15252)Termination phase: Saturation
% 30.05/4.69  
% 30.05/4.69  % (15252)Memory used [KB]: 76391
% 30.05/4.69  % (15252)Time elapsed: 3.851 s
% 30.05/4.69  % (15252)Instructions burned: 6970 (million)
% 30.41/4.70  % (15265)Instruction limit reached!
% 30.41/4.70  % (15265)------------------------------
% 30.41/4.70  % (15265)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.41/4.70  % (15265)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.41/4.70  % (15265)Termination reason: Time limit
% 30.41/4.70  % (15265)Termination phase: Saturation
% 30.41/4.70  
% 30.41/4.70  % (15265)Memory used [KB]: 16671
% 30.41/4.70  % (15265)Time elapsed: 1.534 s
% 30.41/4.70  % (15265)Instructions burned: 3084 (million)
% 30.73/4.78  % (15238)Running in auto input_syntax mode. Trying TPTP
% 30.73/4.78  % (15269)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=7263:s2at=2.0_0 on theBenchmark for (2956ds/7263Mi)
% 30.73/4.78  % (15238)Running in auto input_syntax mode. Trying TPTP
% 30.73/4.78  % (15268)lrs+10_1:27_bsr=unit_only:to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:fd=preordered:i=9874:bs=on:dpc=on:uhcvi=on:rawr=on:irc=lazy:er=filter:erape=on:erml=3_0 on theBenchmark for (2956ds/9874Mi)
% 36.94/5.67  % (15266)Instruction limit reached!
% 36.94/5.67  % (15266)------------------------------
% 36.94/5.67  % (15266)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 36.94/5.67  % (15266)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 36.94/5.67  % (15266)Termination reason: Time limit
% 36.94/5.67  % (15266)Termination phase: Saturation
% 36.94/5.67  
% 36.94/5.67  % (15266)Memory used [KB]: 26154
% 36.94/5.67  % (15266)Time elapsed: 2.338 s
% 36.94/5.67  % (15266)Instructions burned: 4105 (million)
% 37.41/5.74  % (15238)Running in auto input_syntax mode. Trying TPTP
% 37.41/5.74  % (15271)lrs+10_2:3_sil=128000:fde=none:s2a=on:i=13654:s2at=3.0:lwlo=on:bd=off_0 on theBenchmark for (2946ds/13654Mi)
% 56.66/8.54  % (15269)Instruction limit reached!
% 56.66/8.54  % (15269)------------------------------
% 56.66/8.54  % (15269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 56.66/8.54  % (15269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 56.66/8.54  % (15269)Termination reason: Time limit
% 56.66/8.54  % (15269)Termination phase: Saturation
% 56.66/8.54  
% 56.66/8.54  % (15269)Memory used [KB]: 35495
% 56.66/8.54  % (15269)Time elapsed: 3.762 s
% 56.66/8.54  % (15269)Instructions burned: 7263 (million)
% 57.31/8.59  % (15238)Running in auto input_syntax mode. Trying TPTP
% 57.31/8.59  % (15272)lrs+10_1:16_drc=encompass:sil=256000:tgt=full:spb=intro:i=41528:kws=precedence:awrs=converge:awrsf=200:ss=axioms:irc=eager:st=3.0:sp=const_frequency_0 on theBenchmark for (2918ds/41528Mi)
% 63.14/9.41  % (15267)Instruction limit reached!
% 63.14/9.41  % (15267)------------------------------
% 63.14/9.41  % (15267)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 63.14/9.41  % (15267)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 63.14/9.41  % (15267)Termination reason: Time limit
% 63.14/9.41  % (15267)Termination phase: Saturation
% 63.14/9.41  
% 63.14/9.41  % (15267)Memory used [KB]: 60353
% 63.14/9.41  % (15267)Time elapsed: 5.692 s
% 63.14/9.41  % (15267)Instructions burned: 9762 (million)
% 63.66/9.48  % (15238)Running in auto input_syntax mode. Trying TPTP
% 63.66/9.48  % (15274)dis+10_1:32_drc=encompass:sil=256000:tgt=ground:sp=const_frequency:spb=goal:i=32120:kws=precedence:bd=off:dpc=on:irc=lazy:s2a=on:s2at=3.0_0 on theBenchmark for (2909ds/32120Mi)
% 68.79/10.20  % (15268)Instruction limit reached!
% 68.79/10.20  % (15268)------------------------------
% 68.79/10.20  % (15268)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 68.79/10.20  % (15268)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 68.79/10.20  % (15268)Termination reason: Time limit
% 68.79/10.20  % (15268)Termination phase: Saturation
% 68.79/10.20  
% 68.79/10.20  % (15268)Memory used [KB]: 70112
% 68.79/10.20  % (15268)Time elapsed: 5.438 s
% 68.79/10.20  % (15268)Instructions burned: 9874 (million)
% 69.01/10.26  % (15238)Running in auto input_syntax mode. Trying TPTP
% 69.01/10.26  % (15275)ott+10_1:6_drc=encompass:sil=512000:tgt=ground:fde=unused:sp=const_min:spb=goal:nwc=1.1:i=95210:kws=precedence:dpc=on_0 on theBenchmark for (2901ds/95210Mi)
% 76.17/11.30  % (15271)Instruction limit reached!
% 76.17/11.30  % (15271)------------------------------
% 76.17/11.30  % (15271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 76.17/11.30  % (15271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 76.17/11.30  % (15271)Termination reason: Time limit
% 76.17/11.30  % (15271)Termination phase: Saturation
% 76.17/11.30  
% 76.17/11.30  % (15271)Memory used [KB]: 51784
% 76.17/11.30  % (15271)Time elapsed: 5.548 s
% 76.17/11.30  % (15271)Instructions burned: 13654 (million)
% 76.57/11.35  % (15238)Running in auto input_syntax mode. Trying TPTP
% 76.57/11.35  % (15276)lrs+10_1:32_sil=64000:tgt=full:sp=frequency:lwlo=on:i=51758:irc=eager_0 on theBenchmark for (2890ds/51758Mi)
% 101.58/14.93  % (15262)Instruction limit reached!
% 101.58/14.93  % (15262)------------------------------
% 101.58/14.93  % (15262)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 101.58/14.93  % (15262)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 101.58/14.93  % (15262)Termination reason: Time limit
% 101.58/14.93  % (15262)Termination phase: Saturation
% 101.58/14.93  
% 101.58/14.93  % (15262)Memory used [KB]: 131453
% 101.58/14.93  % (15262)Time elapsed: 12.527 s
% 101.58/14.93  % (15262)Instructions burned: 23534 (million)
% 102.24/15.02  % (15238)Running in auto input_syntax mode. Trying TPTP
% 102.24/15.02  % (15278)lrs+10_2:23_drc=encompass:sil=256000:tgt=full:s2a=on:i=126830:s2at=2.0:irc=lazy:dpc=on_0 on theBenchmark for (2854ds/126830Mi)
% 169.59/24.69  % (15274)Instruction limit reached!
% 169.59/24.69  % (15274)------------------------------
% 169.59/24.69  % (15274)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 169.59/24.69  % (15274)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 169.59/24.69  % (15274)Termination reason: Time limit
% 169.59/24.69  % (15274)Termination phase: Saturation
% 169.59/24.69  
% 169.59/24.69  % (15274)Memory used [KB]: 284853
% 169.59/24.69  % (15274)Time elapsed: 15.197 s
% 169.59/24.69  % (15274)Instructions burned: 32123 (million)
% 170.21/24.75  % (15238)Running in auto input_syntax mode. Trying TPTP
% 170.21/24.75  % (15281)lrs+10_1:24_bsr=unit_only:to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:fd=preordered:i=67476:bs=on:dpc=on:rawr=on:irc=lazy:er=filter:erape=on:nwc=3.0:ss=axioms:st=6.0:urr=ec_only_0 on theBenchmark for (2756ds/67476Mi)
% 201.13/29.19  % (15272)First to succeed.
% 201.13/29.20  % (15272)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15238"
% 201.13/29.22  % (15238)Running in auto input_syntax mode. Trying TPTP
% 201.13/29.22  % (15272)Refutation found. Thanks to Tanya!
% 201.13/29.22  % SZS status Unsatisfiable for theBenchmark
% 201.13/29.22  % SZS output start Proof for theBenchmark
% See solution above
% 201.13/29.22  % (15272)------------------------------
% 201.13/29.22  % (15272)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 201.13/29.22  % (15272)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 201.13/29.22  % (15272)Termination reason: Refutation
% 201.13/29.22  
% 201.13/29.22  % (15272)Memory used [KB]: 183480
% 201.13/29.22  % (15272)Time elapsed: 20.648 s
% 201.13/29.22  % (15272)Instructions burned: 33934 (million)
% 201.13/29.22  % (15272)------------------------------
% 201.13/29.22  % (15272)------------------------------
% 201.13/29.22  % (15238)Success in time 28.847 s
%------------------------------------------------------------------------------