%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG088+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:51:34 PM UTC 2026
% Result : Theorem 26.44s 3.74s
% Output : Proof 26.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 55
% Syntax : Number of formulae : 730 ( 41 unt; 50 def)
% Number of atoms : 2448 (1091 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2964 (1246 ~;1194 |; 472 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1_nnf,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c10,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(sdef5,definition,
( spl5
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).
cnf(p102,plain,
( ~ spl5
| h(e11) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef5]) ).
fof(sdef6,definition,
( spl6
<=> h(e11) = e21 ),
introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).
cnf(p103,plain,
( ~ spl6
| h(e11) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef6]) ).
cnf(p236,plain,
( ~ spl6
| ~ spl5
| e20 = e21 ),
inference(superposition,[status(thm)],[p102,p103]) ).
cnf(p270,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[c10,p236]) ).
cnf(sct0,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p270]) ).
cnf(c14,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(sdef7,definition,
( spl7
<=> h(e11) = e22 ),
introduced(definition,[new_symbols(naming,[spl7])],[avatar_definition]) ).
cnf(p104,plain,
( ~ spl7
| h(e11) = e22 ),
inference(avatar_component_clause,[status(thm)],[sdef7]) ).
cnf(p240,plain,
( ~ spl7
| ~ spl6
| e21 = e22 ),
inference(superposition,[status(thm)],[p103,p104]) ).
cnf(p295,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[c14,p240]) ).
cnf(sct1,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p295]) ).
fof(sdef10,definition,
( spl10
<=> h(e12) = e20 ),
introduced(definition,[new_symbols(naming,[spl10])],[avatar_definition]) ).
cnf(p108,plain,
( ~ spl10
| h(e12) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef10]) ).
fof(sdef11,definition,
( spl11
<=> h(e12) = e21 ),
introduced(definition,[new_symbols(naming,[spl11])],[avatar_definition]) ).
cnf(p109,plain,
( ~ spl11
| h(e12) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef11]) ).
cnf(p297,plain,
( ~ spl11
| ~ spl10
| e20 = e21 ),
inference(superposition,[status(thm)],[p108,p109]) ).
cnf(p299,plain,
( ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p297,c10]) ).
cnf(sct2,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p299]) ).
fof(sdef12,definition,
( spl12
<=> h(e12) = e22 ),
introduced(definition,[new_symbols(naming,[spl12])],[avatar_definition]) ).
cnf(p110,plain,
( ~ spl12
| h(e12) = e22 ),
inference(avatar_component_clause,[status(thm)],[sdef12]) ).
cnf(p301,plain,
( ~ spl12
| ~ spl11
| e21 = e22 ),
inference(superposition,[status(thm)],[p109,p110]) ).
cnf(p303,plain,
( ~ spl12
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p301,c14]) ).
cnf(sct3,plain,
( ~ spl12
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p303]) ).
cnf(c17,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(sdef8,definition,
( spl8
<=> h(e11) = e23 ),
introduced(definition,[new_symbols(naming,[spl8])],[avatar_definition]) ).
cnf(p105,plain,
( ~ spl8
| h(e11) = e23 ),
inference(avatar_component_clause,[status(thm)],[sdef8]) ).
cnf(p251,plain,
( ~ spl8
| ~ spl7
| e22 = e23 ),
inference(superposition,[status(thm)],[p104,p105]) ).
cnf(p309,plain,
( ~ spl8
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[c17,p251]) ).
cnf(sct4,plain,
( ~ spl8
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p309]) ).
fof(sdef13,definition,
( spl13
<=> h(e12) = e23 ),
introduced(definition,[new_symbols(naming,[spl13])],[avatar_definition]) ).
cnf(p111,plain,
( ~ spl13
| h(e12) = e23 ),
inference(avatar_component_clause,[status(thm)],[sdef13]) ).
cnf(p305,plain,
( ~ spl13
| ~ spl12
| e22 = e23 ),
inference(superposition,[status(thm)],[p110,p111]) ).
cnf(p311,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p305,c17]) ).
cnf(sct5,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p311]) ).
cnf(c19,plain,
e23 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(sdef9,definition,
( spl9
<=> h(e11) = e24 ),
introduced(definition,[new_symbols(naming,[spl9])],[avatar_definition]) ).
cnf(p106,plain,
( ~ spl9
| h(e11) = e24 ),
inference(avatar_component_clause,[status(thm)],[sdef9]) ).
cnf(p276,plain,
( ~ spl9
| ~ spl8
| e23 = e24 ),
inference(superposition,[status(thm)],[p105,p106]) ).
cnf(p320,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[c19,p276]) ).
cnf(sct6,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p320]) ).
fof(sdef14,definition,
( spl14
<=> h(e12) = e24 ),
introduced(definition,[new_symbols(naming,[spl14])],[avatar_definition]) ).
cnf(p112,plain,
( ~ spl14
| h(e12) = e24 ),
inference(avatar_component_clause,[status(thm)],[sdef14]) ).
cnf(p313,plain,
( ~ spl14
| ~ spl13
| e23 = e24 ),
inference(superposition,[status(thm)],[p111,p112]) ).
cnf(p322,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[c19,p313]) ).
cnf(sct7,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p322]) ).
fof(sdef15,definition,
( spl15
<=> h(e13) = e20 ),
introduced(definition,[new_symbols(naming,[spl15])],[avatar_definition]) ).
cnf(p114,plain,
( ~ spl15
| h(e13) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef15]) ).
fof(sdef16,definition,
( spl16
<=> h(e13) = e21 ),
introduced(definition,[new_symbols(naming,[spl16])],[avatar_definition]) ).
cnf(p115,plain,
( ~ spl16
| h(e13) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef16]) ).
cnf(p315,plain,
( ~ spl16
| ~ spl15
| e20 = e21 ),
inference(superposition,[status(thm)],[p114,p115]) ).
cnf(p323,plain,
( ~ spl16
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p315,c10]) ).
cnf(sct8,plain,
( ~ spl16
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p323]) ).
fof(sdef17,definition,
( spl17
<=> h(e13) = e22 ),
introduced(definition,[new_symbols(naming,[spl17])],[avatar_definition]) ).
cnf(p116,plain,
( ~ spl17
| h(e13) = e22 ),
inference(avatar_component_clause,[status(thm)],[sdef17]) ).
cnf(p325,plain,
( ~ spl17
| ~ spl16
| e21 = e22 ),
inference(superposition,[status(thm)],[p115,p116]) ).
cnf(p327,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p325,c14]) ).
cnf(sct9,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p327]) ).
fof(sdef18,definition,
( spl18
<=> h(e13) = e23 ),
introduced(definition,[new_symbols(naming,[spl18])],[avatar_definition]) ).
cnf(p117,plain,
( ~ spl18
| h(e13) = e23 ),
inference(avatar_component_clause,[status(thm)],[sdef18]) ).
cnf(p329,plain,
( ~ spl18
| ~ spl17
| e22 = e23 ),
inference(superposition,[status(thm)],[p116,p117]) ).
cnf(p331,plain,
( ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p329,c17]) ).
cnf(sct10,plain,
( ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p331]) ).
fof(sdef19,definition,
( spl19
<=> h(e13) = e24 ),
introduced(definition,[new_symbols(naming,[spl19])],[avatar_definition]) ).
cnf(p118,plain,
( ~ spl19
| h(e13) = e24 ),
inference(avatar_component_clause,[status(thm)],[sdef19]) ).
cnf(p333,plain,
( ~ spl19
| ~ spl18
| e23 = e24 ),
inference(superposition,[status(thm)],[p117,p118]) ).
cnf(p335,plain,
( ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p333,c19]) ).
cnf(sct11,plain,
( ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p335]) ).
fof(sdef20,definition,
( spl20
<=> h(e14) = e20 ),
introduced(definition,[new_symbols(naming,[spl20])],[avatar_definition]) ).
cnf(p120,plain,
( ~ spl20
| h(e14) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef20]) ).
fof(sdef21,definition,
( spl21
<=> h(e14) = e21 ),
introduced(definition,[new_symbols(naming,[spl21])],[avatar_definition]) ).
cnf(p121,plain,
( ~ spl21
| h(e14) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef21]) ).
cnf(p337,plain,
( ~ spl21
| ~ spl20
| e20 = e21 ),
inference(superposition,[status(thm)],[p120,p121]) ).
cnf(p339,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p337,c10]) ).
cnf(sct12,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p339]) ).
fof(sdef22,definition,
( spl22
<=> h(e14) = e22 ),
introduced(definition,[new_symbols(naming,[spl22])],[avatar_definition]) ).
cnf(p122,plain,
( ~ spl22
| h(e14) = e22 ),
inference(avatar_component_clause,[status(thm)],[sdef22]) ).
cnf(p341,plain,
( ~ spl22
| ~ spl21
| e21 = e22 ),
inference(superposition,[status(thm)],[p121,p122]) ).
cnf(p343,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p341,c14]) ).
cnf(sct13,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p343]) ).
fof(sdef23,definition,
( spl23
<=> h(e14) = e23 ),
introduced(definition,[new_symbols(naming,[spl23])],[avatar_definition]) ).
cnf(p123,plain,
( ~ spl23
| h(e14) = e23 ),
inference(avatar_component_clause,[status(thm)],[sdef23]) ).
cnf(p345,plain,
( ~ spl23
| ~ spl22
| e22 = e23 ),
inference(superposition,[status(thm)],[p122,p123]) ).
cnf(p347,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p345,c17]) ).
cnf(sct14,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p347]) ).
fof(sdef24,definition,
( spl24
<=> h(e14) = e24 ),
introduced(definition,[new_symbols(naming,[spl24])],[avatar_definition]) ).
cnf(p124,plain,
( ~ spl24
| h(e14) = e24 ),
inference(avatar_component_clause,[status(thm)],[sdef24]) ).
cnf(p349,plain,
( ~ spl24
| ~ spl23
| e23 = e24 ),
inference(superposition,[status(thm)],[p123,p124]) ).
cnf(p351,plain,
( ~ spl24
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p349,c19]) ).
cnf(sct15,plain,
( ~ spl24
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p351]) ).
fof(sdef30,definition,
( spl30
<=> j(e21) = e10 ),
introduced(definition,[new_symbols(naming,[spl30])],[avatar_definition]) ).
cnf(p132,plain,
( ~ spl30
| j(e21) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef30]) ).
fof(sdef31,definition,
( spl31
<=> j(e21) = e11 ),
introduced(definition,[new_symbols(naming,[spl31])],[avatar_definition]) ).
cnf(p133,plain,
( ~ spl31
| j(e21) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef31]) ).
cnf(p373,plain,
( ~ spl31
| ~ spl30
| e10 = e11 ),
inference(superposition,[status(thm)],[p132,p133]) ).
fof(f0,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f0_nnf,plain,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p376,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p373,c0]) ).
cnf(sct16,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p376]) ).
fof(sdef32,definition,
( spl32
<=> j(e21) = e12 ),
introduced(definition,[new_symbols(naming,[spl32])],[avatar_definition]) ).
cnf(p134,plain,
( ~ spl32
| j(e21) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef32]) ).
cnf(p378,plain,
( ~ spl32
| ~ spl31
| e11 = e12 ),
inference(superposition,[status(thm)],[p133,p134]) ).
cnf(c4,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p381,plain,
( ~ spl32
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p378,c4]) ).
cnf(sct17,plain,
( ~ spl32
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p381]) ).
fof(sdef33,definition,
( spl33
<=> j(e21) = e13 ),
introduced(definition,[new_symbols(naming,[spl33])],[avatar_definition]) ).
cnf(p135,plain,
( ~ spl33
| j(e21) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef33]) ).
cnf(p383,plain,
( ~ spl33
| ~ spl32
| e12 = e13 ),
inference(superposition,[status(thm)],[p134,p135]) ).
cnf(c7,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p386,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p383,c7]) ).
cnf(sct18,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p386]) ).
fof(sdef34,definition,
( spl34
<=> j(e21) = e14 ),
introduced(definition,[new_symbols(naming,[spl34])],[avatar_definition]) ).
cnf(p136,plain,
( ~ spl34
| j(e21) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef34]) ).
cnf(p388,plain,
( ~ spl34
| ~ spl33
| e13 = e14 ),
inference(superposition,[status(thm)],[p135,p136]) ).
cnf(c9,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p391,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p388,c9]) ).
cnf(sct19,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p391]) ).
fof(sdef35,definition,
( spl35
<=> j(e22) = e10 ),
introduced(definition,[new_symbols(naming,[spl35])],[avatar_definition]) ).
cnf(p138,plain,
( ~ spl35
| j(e22) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef35]) ).
fof(sdef36,definition,
( spl36
<=> j(e22) = e11 ),
introduced(definition,[new_symbols(naming,[spl36])],[avatar_definition]) ).
cnf(p139,plain,
( ~ spl36
| j(e22) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef36]) ).
cnf(p393,plain,
( ~ spl36
| ~ spl35
| e10 = e11 ),
inference(superposition,[status(thm)],[p138,p139]) ).
cnf(p396,plain,
( ~ spl36
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p393,c0]) ).
cnf(sct20,plain,
( ~ spl36
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p396]) ).
fof(sdef37,definition,
( spl37
<=> j(e22) = e12 ),
introduced(definition,[new_symbols(naming,[spl37])],[avatar_definition]) ).
cnf(p140,plain,
( ~ spl37
| j(e22) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef37]) ).
cnf(p398,plain,
( ~ spl37
| ~ spl36
| e11 = e12 ),
inference(superposition,[status(thm)],[p139,p140]) ).
cnf(p401,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p398,c4]) ).
cnf(sct21,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p401]) ).
fof(sdef38,definition,
( spl38
<=> j(e22) = e13 ),
introduced(definition,[new_symbols(naming,[spl38])],[avatar_definition]) ).
cnf(p141,plain,
( ~ spl38
| j(e22) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef38]) ).
cnf(p403,plain,
( ~ spl38
| ~ spl37
| e12 = e13 ),
inference(superposition,[status(thm)],[p140,p141]) ).
cnf(p406,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p403,c7]) ).
cnf(sct22,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p406]) ).
fof(sdef39,definition,
( spl39
<=> j(e22) = e14 ),
introduced(definition,[new_symbols(naming,[spl39])],[avatar_definition]) ).
cnf(p142,plain,
( ~ spl39
| j(e22) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef39]) ).
cnf(p408,plain,
( ~ spl39
| ~ spl38
| e13 = e14 ),
inference(superposition,[status(thm)],[p141,p142]) ).
cnf(p411,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p408,c9]) ).
cnf(sct23,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p411]) ).
fof(sdef41,definition,
( spl41
<=> j(e23) = e11 ),
introduced(definition,[new_symbols(naming,[spl41])],[avatar_definition]) ).
cnf(p145,plain,
( ~ spl41
| j(e23) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef41]) ).
fof(sdef42,definition,
( spl42
<=> j(e23) = e12 ),
introduced(definition,[new_symbols(naming,[spl42])],[avatar_definition]) ).
cnf(p146,plain,
( ~ spl42
| j(e23) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef42]) ).
cnf(p418,plain,
( ~ spl42
| ~ spl41
| e11 = e12 ),
inference(superposition,[status(thm)],[p145,p146]) ).
cnf(p421,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p418,c4]) ).
cnf(sct24,plain,
( ~ spl42
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p421]) ).
fof(sdef43,definition,
( spl43
<=> j(e23) = e13 ),
introduced(definition,[new_symbols(naming,[spl43])],[avatar_definition]) ).
cnf(p147,plain,
( ~ spl43
| j(e23) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef43]) ).
cnf(p423,plain,
( ~ spl43
| ~ spl42
| e12 = e13 ),
inference(superposition,[status(thm)],[p146,p147]) ).
cnf(p426,plain,
( ~ spl43
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p423,c7]) ).
cnf(sct25,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p426]) ).
fof(sdef44,definition,
( spl44
<=> j(e23) = e14 ),
introduced(definition,[new_symbols(naming,[spl44])],[avatar_definition]) ).
cnf(p148,plain,
( ~ spl44
| j(e23) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef44]) ).
cnf(p428,plain,
( ~ spl44
| ~ spl43
| e13 = e14 ),
inference(superposition,[status(thm)],[p147,p148]) ).
cnf(p431,plain,
( ~ spl44
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p428,c9]) ).
cnf(sct26,plain,
( ~ spl44
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p431]) ).
fof(sdef45,definition,
( spl45
<=> j(e24) = e10 ),
introduced(definition,[new_symbols(naming,[spl45])],[avatar_definition]) ).
cnf(p150,plain,
( ~ spl45
| j(e24) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef45]) ).
fof(sdef46,definition,
( spl46
<=> j(e24) = e11 ),
introduced(definition,[new_symbols(naming,[spl46])],[avatar_definition]) ).
cnf(p151,plain,
( ~ spl46
| j(e24) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef46]) ).
cnf(p433,plain,
( ~ spl46
| ~ spl45
| e10 = e11 ),
inference(superposition,[status(thm)],[p150,p151]) ).
cnf(p436,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p433,c0]) ).
cnf(sct27,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p436]) ).
fof(sdef47,definition,
( spl47
<=> j(e24) = e12 ),
introduced(definition,[new_symbols(naming,[spl47])],[avatar_definition]) ).
cnf(p152,plain,
( ~ spl47
| j(e24) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef47]) ).
cnf(p438,plain,
( ~ spl47
| ~ spl46
| e11 = e12 ),
inference(superposition,[status(thm)],[p151,p152]) ).
cnf(p441,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p438,c4]) ).
cnf(sct28,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p441]) ).
fof(sdef48,definition,
( spl48
<=> j(e24) = e13 ),
introduced(definition,[new_symbols(naming,[spl48])],[avatar_definition]) ).
cnf(p153,plain,
( ~ spl48
| j(e24) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef48]) ).
cnf(p443,plain,
( ~ spl48
| ~ spl47
| e12 = e13 ),
inference(superposition,[status(thm)],[p152,p153]) ).
cnf(p446,plain,
( ~ spl48
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p443,c7]) ).
cnf(sct29,plain,
( ~ spl48
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p446]) ).
fof(sdef49,definition,
( spl49
<=> j(e24) = e14 ),
introduced(definition,[new_symbols(naming,[spl49])],[avatar_definition]) ).
cnf(p154,plain,
( ~ spl49
| j(e24) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef49]) ).
cnf(p448,plain,
( ~ spl49
| ~ spl48
| e13 = e14 ),
inference(superposition,[status(thm)],[p153,p154]) ).
cnf(p451,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p448,c9]) ).
cnf(sct30,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p451]) ).
fof(sdef29,definition,
( spl29
<=> j(e20) = e14 ),
introduced(definition,[new_symbols(naming,[spl29])],[avatar_definition]) ).
cnf(p130,plain,
( ~ spl29
| j(e20) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef29]) ).
fof(sdef25,definition,
( spl25
<=> j(e20) = e10 ),
introduced(definition,[new_symbols(naming,[spl25])],[avatar_definition]) ).
cnf(p126,plain,
( ~ spl25
| j(e20) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef25]) ).
cnf(p489,plain,
( ~ spl29
| ~ spl25
| e14 = e10 ),
inference(superposition,[status(thm)],[p130,p126]) ).
cnf(c3,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p491,plain,
( ~ spl29
| ~ spl25
| e10 != e10 ),
inference(superposition,[status(thm)],[p489,c3]) ).
cnf(p496,plain,
( ~ spl29
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p491]) ).
cnf(sct31,plain,
( ~ spl29
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p496]) ).
cnf(p525,plain,
( ~ spl19
| ~ spl15
| e24 = e20 ),
inference(superposition,[status(thm)],[p118,p114]) ).
cnf(c13,plain,
e20 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p526,plain,
( ~ spl19
| ~ spl15
| e20 != e20 ),
inference(superposition,[status(thm)],[p525,c13]) ).
cnf(p531,plain,
( ~ spl19
| ~ spl15
| $false ),
inference(equality_resolution,[status(thm)],[p526]) ).
cnf(sct32,plain,
( ~ spl19
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p531]) ).
fof(f5,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f5_neg,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f5_nnf,plain,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(nnf_transformation,[status(thm)],[f5_neg]) ).
fof(f5_sk,plain,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c156,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p532,plain,
( ~ spl33
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p135,c156]) ).
cnf(p534,plain,
( ~ spl33
| ~ spl15
| e20 = e21 ),
inference(superposition,[status(thm)],[p114,p532]) ).
cnf(p539,plain,
( ~ spl33
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p534,c10]) ).
cnf(sct33,plain,
( ~ spl33
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p539]) ).
cnf(p541,plain,
( ~ spl34
| ~ spl32
| e14 = e12 ),
inference(superposition,[status(thm)],[p136,p134]) ).
cnf(c8,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p543,plain,
( ~ spl34
| ~ spl32
| e12 != e12 ),
inference(superposition,[status(thm)],[p541,c8]) ).
cnf(p546,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(equality_resolution,[status(thm)],[p543]) ).
cnf(sct34,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p546]) ).
cnf(p542,plain,
( ~ spl32
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p134,c156]) ).
cnf(p548,plain,
( ~ spl32
| ~ spl13
| e23 = e21 ),
inference(superposition,[status(thm)],[p111,p542]) ).
cnf(c15,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p549,plain,
( ~ spl32
| ~ spl13
| e21 != e21 ),
inference(superposition,[status(thm)],[p548,c15]) ).
cnf(p552,plain,
( ~ spl32
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p549]) ).
cnf(sct35,plain,
( ~ spl32
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p552]) ).
cnf(p554,plain,
( ~ spl34
| ~ spl31
| e14 = e11 ),
inference(superposition,[status(thm)],[p136,p133]) ).
cnf(c6,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p556,plain,
( ~ spl34
| ~ spl31
| e11 != e11 ),
inference(superposition,[status(thm)],[p554,c6]) ).
cnf(p560,plain,
( ~ spl34
| ~ spl31
| $false ),
inference(equality_resolution,[status(thm)],[p556]) ).
cnf(sct36,plain,
( ~ spl34
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p560]) ).
cnf(p555,plain,
( ~ spl31
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p133,c156]) ).
cnf(p562,plain,
( ~ spl31
| ~ spl8
| e23 = e21 ),
inference(superposition,[status(thm)],[p105,p555]) ).
cnf(p563,plain,
( ~ spl31
| ~ spl8
| e21 != e21 ),
inference(superposition,[status(thm)],[p562,c15]) ).
cnf(p566,plain,
( ~ spl31
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p563]) ).
cnf(sct37,plain,
( ~ spl31
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p566]) ).
cnf(p568,plain,
( ~ spl34
| ~ spl30
| e14 = e10 ),
inference(superposition,[status(thm)],[p136,p132]) ).
cnf(p570,plain,
( ~ spl34
| ~ spl30
| e10 != e10 ),
inference(superposition,[status(thm)],[p568,c3]) ).
cnf(p576,plain,
( ~ spl34
| ~ spl30
| $false ),
inference(equality_resolution,[status(thm)],[p570]) ).
cnf(sct38,plain,
( ~ spl34
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p576]) ).
cnf(p583,plain,
( ~ spl34
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p136,c156]) ).
cnf(p585,plain,
( ~ spl34
| ~ spl23
| e23 = e21 ),
inference(superposition,[status(thm)],[p123,p583]) ).
cnf(p586,plain,
( ~ spl34
| ~ spl23
| e21 != e21 ),
inference(superposition,[status(thm)],[p585,c15]) ).
cnf(p589,plain,
( ~ spl34
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p586]) ).
cnf(sct39,plain,
( ~ spl34
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p589]) ).
cnf(p593,plain,
( ~ spl34
| ~ spl22
| e21 = e22 ),
inference(superposition,[status(thm)],[p583,p122]) ).
cnf(p599,plain,
( ~ spl34
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p593,c14]) ).
cnf(sct40,plain,
( ~ spl34
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p599]) ).
cnf(p601,plain,
( ~ spl24
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p124,p121]) ).
cnf(c16,plain,
e21 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p602,plain,
( ~ spl24
| ~ spl21
| e21 != e21 ),
inference(superposition,[status(thm)],[p601,c16]) ).
cnf(p606,plain,
( ~ spl24
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p602]) ).
cnf(sct41,plain,
( ~ spl24
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p606]) ).
cnf(c157,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p607,plain,
( ~ spl38
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p141,c157]) ).
cnf(p609,plain,
( ~ spl38
| ~ spl15
| e20 = e22 ),
inference(superposition,[status(thm)],[p114,p607]) ).
cnf(c11,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p615,plain,
( ~ spl38
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p609,c11]) ).
cnf(sct42,plain,
( ~ spl38
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p615]) ).
cnf(p617,plain,
( ~ spl39
| ~ spl37
| e14 = e12 ),
inference(superposition,[status(thm)],[p142,p140]) ).
cnf(p619,plain,
( ~ spl39
| ~ spl37
| e12 != e12 ),
inference(superposition,[status(thm)],[p617,c8]) ).
cnf(p625,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p619]) ).
cnf(sct43,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p625]) ).
cnf(p618,plain,
( ~ spl37
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p140,c157]) ).
cnf(p627,plain,
( ~ spl37
| ~ spl13
| e23 = e22 ),
inference(superposition,[status(thm)],[p111,p618]) ).
cnf(p628,plain,
( ~ spl37
| ~ spl13
| e22 != e22 ),
inference(superposition,[status(thm)],[p627,c17]) ).
cnf(p630,plain,
( ~ spl37
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p628]) ).
cnf(sct44,plain,
( ~ spl37
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p630]) ).
cnf(p632,plain,
( ~ spl39
| ~ spl36
| e14 = e11 ),
inference(superposition,[status(thm)],[p142,p139]) ).
cnf(p634,plain,
( ~ spl39
| ~ spl36
| e11 != e11 ),
inference(superposition,[status(thm)],[p632,c6]) ).
cnf(p641,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(equality_resolution,[status(thm)],[p634]) ).
cnf(sct45,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p641]) ).
cnf(p633,plain,
( ~ spl36
| h(e11) = e22 ),
inference(superposition,[status(thm)],[p139,c157]) ).
cnf(p643,plain,
( ~ spl36
| ~ spl8
| e23 = e22 ),
inference(superposition,[status(thm)],[p105,p633]) ).
cnf(p644,plain,
( ~ spl36
| ~ spl8
| e22 != e22 ),
inference(superposition,[status(thm)],[p643,c17]) ).
cnf(p646,plain,
( ~ spl36
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p644]) ).
cnf(sct46,plain,
( ~ spl36
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p646]) ).
cnf(p648,plain,
( ~ spl39
| ~ spl35
| e14 = e10 ),
inference(superposition,[status(thm)],[p142,p138]) ).
cnf(p650,plain,
( ~ spl39
| ~ spl35
| e10 != e10 ),
inference(superposition,[status(thm)],[p648,c3]) ).
cnf(p658,plain,
( ~ spl39
| ~ spl35
| $false ),
inference(equality_resolution,[status(thm)],[p650]) ).
cnf(sct47,plain,
( ~ spl39
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p658]) ).
cnf(p664,plain,
( ~ spl39
| h(e14) = e22 ),
inference(superposition,[status(thm)],[p142,c157]) ).
cnf(p666,plain,
( ~ spl39
| ~ spl21
| e21 = e22 ),
inference(superposition,[status(thm)],[p121,p664]) ).
cnf(p671,plain,
( ~ spl39
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p666,c14]) ).
cnf(sct48,plain,
( ~ spl39
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p671]) ).
cnf(p668,plain,
( ~ spl39
| ~ spl34
| e21 = e22 ),
inference(superposition,[status(thm)],[p583,p664]) ).
cnf(p673,plain,
( ~ spl39
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p668,c14]) ).
cnf(sct49,plain,
( ~ spl39
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p673]) ).
cnf(p680,plain,
( ~ spl33
| ~ spl18
| e21 = e23 ),
inference(superposition,[status(thm)],[p532,p117]) ).
cnf(p685,plain,
( ~ spl33
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p680,c15]) ).
cnf(sct50,plain,
( ~ spl33
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p685]) ).
cnf(p505,plain,
( ~ spl19
| ~ spl17
| e24 = e22 ),
inference(superposition,[status(thm)],[p118,p116]) ).
cnf(c18,plain,
e22 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p508,plain,
( ~ spl19
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p505,c18]) ).
cnf(p686,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p508]) ).
cnf(sct51,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p686]) ).
cnf(p688,plain,
( ~ spl33
| ~ spl17
| e21 = e22 ),
inference(superposition,[status(thm)],[p532,p116]) ).
cnf(p690,plain,
( ~ spl33
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p688,c14]) ).
cnf(sct52,plain,
( ~ spl33
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p690]) ).
cnf(p515,plain,
( ~ spl19
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p118,p115]) ).
cnf(p518,plain,
( ~ spl19
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p515,c16]) ).
cnf(p691,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p518]) ).
cnf(sct53,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p691]) ).
cnf(p693,plain,
( ~ spl38
| ~ spl16
| e22 = e21 ),
inference(superposition,[status(thm)],[p607,p115]) ).
cnf(p694,plain,
( ~ spl38
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p693,c14]) ).
cnf(p696,plain,
( ~ spl38
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p694]) ).
cnf(sct54,plain,
( ~ spl38
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p696]) ).
cnf(p698,plain,
( ~ spl24
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p124,p120]) ).
cnf(p701,plain,
( ~ spl24
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p698,c13]) ).
cnf(p709,plain,
( ~ spl24
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p701]) ).
cnf(sct55,plain,
( ~ spl24
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p709]) ).
cnf(p700,plain,
( ~ spl39
| ~ spl20
| e22 = e20 ),
inference(superposition,[status(thm)],[p664,p120]) ).
cnf(p706,plain,
( ~ spl39
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p700,c11]) ).
cnf(p710,plain,
( ~ spl39
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p706]) ).
cnf(sct56,plain,
( ~ spl39
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p710]) ).
cnf(p712,plain,
( ~ spl39
| ~ spl23
| e22 = e23 ),
inference(superposition,[status(thm)],[p664,p123]) ).
cnf(p715,plain,
( ~ spl39
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p712,c17]) ).
cnf(sct57,plain,
( ~ spl39
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p715]) ).
cnf(p591,plain,
( ~ spl24
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p124,p122]) ).
cnf(p594,plain,
( ~ spl24
| ~ spl22
| e22 != e22 ),
inference(superposition,[status(thm)],[p591,c18]) ).
cnf(p716,plain,
( ~ spl24
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p594]) ).
cnf(sct58,plain,
( ~ spl24
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p716]) ).
cnf(c155,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p717,plain,
( ~ spl29
| h(e14) = e20 ),
inference(superposition,[status(thm)],[p130,c155]) ).
cnf(p720,plain,
( ~ spl29
| ~ spl22
| e20 = e22 ),
inference(superposition,[status(thm)],[p717,p122]) ).
cnf(p726,plain,
( ~ spl29
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p720,c11]) ).
cnf(sct59,plain,
( ~ spl29
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p726]) ).
cnf(p723,plain,
( ~ spl39
| ~ spl29
| e20 = e22 ),
inference(superposition,[status(thm)],[p717,p664]) ).
cnf(p729,plain,
( ~ spl39
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p723,c11]) ).
cnf(sct60,plain,
( ~ spl39
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p729]) ).
cnf(p731,plain,
( ~ spl33
| ~ spl19
| e21 = e24 ),
inference(superposition,[status(thm)],[p532,p118]) ).
cnf(p737,plain,
( ~ spl33
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p731,c16]) ).
cnf(sct61,plain,
( ~ spl33
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p737]) ).
cnf(p682,plain,
( ~ spl38
| ~ spl18
| e22 = e23 ),
inference(superposition,[status(thm)],[p607,p117]) ).
cnf(p739,plain,
( ~ spl38
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p682,c17]) ).
cnf(sct62,plain,
( ~ spl38
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p739]) ).
cnf(p741,plain,
( ~ spl29
| ~ spl21
| e20 = e21 ),
inference(superposition,[status(thm)],[p717,p121]) ).
cnf(p744,plain,
( ~ spl29
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p741,c10]) ).
cnf(sct63,plain,
( ~ spl29
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p744]) ).
cnf(p746,plain,
( ~ spl34
| ~ spl20
| e21 = e20 ),
inference(superposition,[status(thm)],[p583,p120]) ).
cnf(p747,plain,
( ~ spl34
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p746,c10]) ).
cnf(p751,plain,
( ~ spl34
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p747]) ).
cnf(sct64,plain,
( ~ spl34
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p751]) ).
cnf(p753,plain,
( ~ spl34
| ~ spl24
| e21 = e24 ),
inference(superposition,[status(thm)],[p583,p124]) ).
cnf(p760,plain,
( ~ spl34
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p753,c16]) ).
cnf(sct65,plain,
( ~ spl34
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p760]) ).
cnf(p764,plain,
( ~ spl32
| ~ spl14
| e21 = e24 ),
inference(superposition,[status(thm)],[p542,p112]) ).
cnf(p778,plain,
( ~ spl32
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p764,c16]) ).
cnf(sct66,plain,
( ~ spl32
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p778]) ).
cnf(p766,plain,
( ~ spl37
| ~ spl14
| e22 = e24 ),
inference(superposition,[status(thm)],[p618,p112]) ).
cnf(p783,plain,
( ~ spl37
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p766,c18]) ).
cnf(sct67,plain,
( ~ spl37
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p783]) ).
cnf(p787,plain,
( ~ spl32
| ~ spl12
| e21 = e22 ),
inference(superposition,[status(thm)],[p542,p110]) ).
cnf(p795,plain,
( ~ spl32
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p787,c14]) ).
cnf(sct68,plain,
( ~ spl32
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p795]) ).
cnf(c158,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p796,plain,
( ~ spl43
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p147,c158]) ).
cnf(p798,plain,
( ~ spl43
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p796]) ).
cnf(c12,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p807,plain,
( ~ spl43
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p798,c12]) ).
cnf(sct69,plain,
( ~ spl43
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p807]) ).
cnf(p809,plain,
( ~ spl44
| ~ spl42
| e14 = e12 ),
inference(superposition,[status(thm)],[p148,p146]) ).
fof(f3,axiom,
( op1(e14,e14) = e10
& op1(e14,e13) = e12
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e10
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e12
& op1(e11,e13) = e14
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3_nnf,plain,
( op1(e14,e14) = e10
& op1(e14,e13) = e12
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e10
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e12
& op1(e11,e13) = e14
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( op1(e14,e14) = e10
& op1(e14,e13) = e12
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e10
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e12
& op1(e11,e13) = e14
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c59,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p816,plain,
( ~ spl44
| ~ spl42
| e10 = e13 ),
inference(superposition,[status(thm)],[p809,c59]) ).
cnf(c2,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p823,plain,
( ~ spl44
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p816,c2]) ).
cnf(sct70,plain,
( ~ spl44
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p823]) ).
cnf(p810,plain,
( ~ spl42
| h(e12) = e23 ),
inference(superposition,[status(thm)],[p146,c158]) ).
cnf(p825,plain,
( ~ spl42
| ~ spl12
| e22 = e23 ),
inference(superposition,[status(thm)],[p110,p810]) ).
cnf(p832,plain,
( ~ spl42
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p825,c17]) ).
cnf(sct71,plain,
( ~ spl42
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p832]) ).
cnf(p834,plain,
( ~ spl44
| ~ spl41
| e14 = e11 ),
inference(superposition,[status(thm)],[p148,p145]) ).
cnf(p836,plain,
( ~ spl44
| ~ spl41
| e11 != e11 ),
inference(superposition,[status(thm)],[p834,c6]) ).
cnf(p851,plain,
( ~ spl44
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p836]) ).
cnf(sct72,plain,
( ~ spl44
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p851]) ).
cnf(c159,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p852,plain,
( ~ spl48
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p153,c159]) ).
cnf(p854,plain,
( ~ spl48
| ~ spl15
| e20 = e24 ),
inference(superposition,[status(thm)],[p114,p852]) ).
cnf(p864,plain,
( ~ spl48
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p854,c13]) ).
cnf(sct73,plain,
( ~ spl48
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p864]) ).
cnf(p866,plain,
( ~ spl49
| ~ spl47
| e14 = e12 ),
inference(superposition,[status(thm)],[p154,p152]) ).
cnf(p873,plain,
( ~ spl49
| ~ spl47
| e10 = e13 ),
inference(superposition,[status(thm)],[p866,c59]) ).
cnf(p880,plain,
( ~ spl49
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p873,c2]) ).
cnf(sct74,plain,
( ~ spl49
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p880]) ).
cnf(p867,plain,
( ~ spl47
| h(e12) = e24 ),
inference(superposition,[status(thm)],[p152,c159]) ).
cnf(p882,plain,
( ~ spl47
| ~ spl12
| e22 = e24 ),
inference(superposition,[status(thm)],[p110,p867]) ).
cnf(p890,plain,
( ~ spl47
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p882,c18]) ).
cnf(sct75,plain,
( ~ spl47
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p890]) ).
cnf(p892,plain,
( ~ spl49
| ~ spl46
| e14 = e11 ),
inference(superposition,[status(thm)],[p154,p151]) ).
cnf(p894,plain,
( ~ spl49
| ~ spl46
| e11 != e11 ),
inference(superposition,[status(thm)],[p892,c6]) ).
cnf(p909,plain,
( ~ spl49
| ~ spl46
| $false ),
inference(equality_resolution,[status(thm)],[p894]) ).
cnf(sct76,plain,
( ~ spl49
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p909]) ).
cnf(p893,plain,
( ~ spl46
| h(e11) = e24 ),
inference(superposition,[status(thm)],[p151,c159]) ).
cnf(p910,plain,
( ~ spl46
| ~ spl8
| e24 = e23 ),
inference(superposition,[status(thm)],[p893,p105]) ).
fof(f4,axiom,
( op2(e24,e24) = e21
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e21
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e22
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( op2(e24,e24) = e21
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e21
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e22
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( op2(e24,e24) = e21
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e21
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e22
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c79,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p916,plain,
( ~ spl46
| ~ spl8
| e23 = e20 ),
inference(superposition,[status(thm)],[p910,c79]) ).
cnf(p914,plain,
( ~ spl46
| ~ spl8
| e23 != e23 ),
inference(superposition,[status(thm)],[p910,c19]) ).
cnf(p919,plain,
( ~ spl46
| ~ spl8
| e20 != e20 ),
inference(demodulation,[status(thm)],[p916,p914]) ).
cnf(p935,plain,
( ~ spl46
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p919]) ).
cnf(sct77,plain,
( ~ spl46
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p935]) ).
cnf(p937,plain,
( ~ spl49
| ~ spl45
| e14 = e10 ),
inference(superposition,[status(thm)],[p154,p150]) ).
cnf(p939,plain,
( ~ spl49
| ~ spl45
| e10 != e10 ),
inference(superposition,[status(thm)],[p937,c3]) ).
cnf(p951,plain,
( ~ spl49
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p939]) ).
cnf(sct78,plain,
( ~ spl49
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p951]) ).
cnf(p972,plain,
( ~ spl49
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p154,c159]) ).
cnf(p974,plain,
( ~ spl49
| ~ spl21
| e21 = e24 ),
inference(superposition,[status(thm)],[p121,p972]) ).
cnf(p988,plain,
( ~ spl49
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p974,c16]) ).
cnf(sct79,plain,
( ~ spl49
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p988]) ).
cnf(p1004,plain,
( ~ spl48
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p852,p115]) ).
cnf(p1005,plain,
( ~ spl48
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1004,c16]) ).
cnf(p1018,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1005]) ).
cnf(sct80,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1018]) ).
fof(sdef3,definition,
( spl3
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(naming,[spl3])],[avatar_definition]) ).
cnf(p99,plain,
( ~ spl3
| h(e10) = e23 ),
inference(avatar_component_clause,[status(thm)],[sdef3]) ).
cnf(c105,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1019,plain,
( ~ spl3
| e23 = e21 ),
inference(superposition,[status(thm)],[p99,c105]) ).
cnf(p1025,plain,
( ~ spl3
| e21 != e21 ),
inference(superposition,[status(thm)],[p1019,c15]) ).
cnf(p1037,plain,
( ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1025]) ).
cnf(sct81,plain,
~ spl3,
inference(avatar_contradiction_clause,[status(thm)],[p1037]) ).
fof(sdef2,definition,
( spl2
<=> h(e10) = e22 ),
introduced(definition,[new_symbols(naming,[spl2])],[avatar_definition]) ).
cnf(p98,plain,
( ~ spl2
| h(e10) = e22 ),
inference(avatar_component_clause,[status(thm)],[sdef2]) ).
cnf(p1063,plain,
( ~ spl2
| e22 = e21 ),
inference(superposition,[status(thm)],[p98,c105]) ).
cnf(p1072,plain,
( ~ spl2
| e21 != e21 ),
inference(superposition,[status(thm)],[p1063,c14]) ).
cnf(p1094,plain,
( ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1072]) ).
cnf(sct82,plain,
~ spl2,
inference(avatar_contradiction_clause,[status(thm)],[p1094]) ).
fof(sdef1,definition,
( spl1
<=> h(e10) = e21 ),
introduced(definition,[new_symbols(naming,[spl1])],[avatar_definition]) ).
cnf(p97,plain,
( ~ spl1
| h(e10) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef1]) ).
cnf(p1117,plain,
( ~ spl1
| e21 = e22 ),
inference(superposition,[status(thm)],[p97,c105]) ).
cnf(p1166,plain,
( ~ spl1
| $false ),
inference(resolution,[status(thm)],[p1117,c14]) ).
cnf(sct83,plain,
~ spl1,
inference(avatar_contradiction_clause,[status(thm)],[p1166]) ).
cnf(p569,plain,
( ~ spl30
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p132,c156]) ).
fof(sdef0,definition,
( spl0
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(naming,[spl0])],[avatar_definition]) ).
cnf(p96,plain,
( ~ spl0
| h(e10) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef0]) ).
cnf(p1183,plain,
( ~ spl30
| ~ spl0
| e21 = e20 ),
inference(superposition,[status(thm)],[p569,p96]) ).
cnf(p1199,plain,
( ~ spl30
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1183,c10]) ).
cnf(p1235,plain,
( ~ spl30
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1199]) ).
cnf(sct84,plain,
( ~ spl30
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1235]) ).
cnf(p649,plain,
( ~ spl35
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p138,c157]) ).
cnf(p1185,plain,
( ~ spl35
| ~ spl0
| e22 = e20 ),
inference(superposition,[status(thm)],[p649,p96]) ).
cnf(p1208,plain,
( ~ spl35
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1185,c11]) ).
cnf(p1240,plain,
( ~ spl35
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1208]) ).
cnf(sct85,plain,
( ~ spl35
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1240]) ).
cnf(p938,plain,
( ~ spl45
| h(e10) = e24 ),
inference(superposition,[status(thm)],[p150,c159]) ).
cnf(p1187,plain,
( ~ spl45
| ~ spl0
| e24 = e20 ),
inference(superposition,[status(thm)],[p938,p96]) ).
cnf(p1221,plain,
( ~ spl45
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1187,c13]) ).
cnf(p1241,plain,
( ~ spl45
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1221]) ).
cnf(sct86,plain,
( ~ spl45
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1241]) ).
cnf(p1243,plain,
( ~ spl47
| ~ spl13
| e24 = e23 ),
inference(superposition,[status(thm)],[p867,p111]) ).
cnf(p1246,plain,
( ~ spl47
| ~ spl13
| e23 = e20 ),
inference(superposition,[status(thm)],[p1243,c79]) ).
cnf(p1244,plain,
( ~ spl47
| ~ spl13
| e23 != e23 ),
inference(superposition,[status(thm)],[p1243,c19]) ).
cnf(p1248,plain,
( ~ spl47
| ~ spl13
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1246,p1244]) ).
cnf(p1265,plain,
( ~ spl47
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p1248]) ).
cnf(sct87,plain,
( ~ spl47
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1265]) ).
cnf(p1267,plain,
( ~ spl43
| ~ spl16
| e23 = e21 ),
inference(superposition,[status(thm)],[p796,p115]) ).
cnf(p1269,plain,
( ~ spl43
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1267,c15]) ).
cnf(p1286,plain,
( ~ spl43
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1269]) ).
cnf(sct88,plain,
( ~ spl43
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1286]) ).
cnf(p1288,plain,
( ~ spl49
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p972,p122]) ).
cnf(p1290,plain,
( ~ spl49
| ~ spl22
| e22 != e22 ),
inference(superposition,[status(thm)],[p1288,c18]) ).
cnf(p1302,plain,
( ~ spl49
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p1290]) ).
cnf(sct89,plain,
( ~ spl49
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1302]) ).
cnf(p1309,plain,
( ~ spl39
| ~ spl24
| e22 = e24 ),
inference(superposition,[status(thm)],[p664,p124]) ).
cnf(p1322,plain,
( ~ spl39
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p1309,c18]) ).
cnf(sct90,plain,
( ~ spl39
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1322]) ).
cnf(p1324,plain,
( ~ spl43
| ~ spl17
| e23 = e22 ),
inference(superposition,[status(thm)],[p796,p116]) ).
cnf(p1333,plain,
( ~ spl43
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p1324,c17]) ).
cnf(p1355,plain,
( ~ spl43
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p1333]) ).
cnf(sct91,plain,
( ~ spl43
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1355]) ).
cnf(p1326,plain,
( ~ spl48
| ~ spl17
| e24 = e22 ),
inference(superposition,[status(thm)],[p852,p116]) ).
cnf(p1343,plain,
( ~ spl48
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p1326,c18]) ).
cnf(p1356,plain,
( ~ spl48
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p1343]) ).
cnf(sct92,plain,
( ~ spl48
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1356]) ).
cnf(p733,plain,
( ~ spl38
| ~ spl19
| e22 = e24 ),
inference(superposition,[status(thm)],[p607,p118]) ).
cnf(p1371,plain,
( ~ spl38
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p733,c18]) ).
cnf(sct93,plain,
( ~ spl38
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p1371]) ).
cnf(p1372,plain,
( ~ spl42
| ~ spl14
| e24 = e23 ),
inference(superposition,[status(thm)],[p112,p810]) ).
cnf(p1379,plain,
( ~ spl42
| ~ spl14
| e23 = e20 ),
inference(superposition,[status(thm)],[p1372,c79]) ).
cnf(p1378,plain,
( ~ spl42
| ~ spl14
| e23 != e23 ),
inference(superposition,[status(thm)],[p1372,c19]) ).
cnf(p1382,plain,
( ~ spl42
| ~ spl14
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1379,p1378]) ).
cnf(p1400,plain,
( ~ spl42
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p1382]) ).
cnf(sct94,plain,
( ~ spl42
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p1400]) ).
cnf(c111,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1236,plain,
( ~ spl8
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p105,c111]) ).
cnf(p1434,plain,
( ~ spl8
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1236]) ).
cnf(p1467,plain,
( ~ spl8
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1434,c10]) ).
cnf(sct95,plain,
( ~ spl8
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1467]) ).
cnf(p274,plain,
( ~ spl9
| ~ spl7
| e22 = e24 ),
inference(superposition,[status(thm)],[p104,p106]) ).
cnf(p1477,plain,
( ~ spl9
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p274,c18]) ).
cnf(sct96,plain,
( ~ spl9
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p1477]) ).
cnf(p1481,plain,
( ~ spl31
| ~ spl7
| e21 = e22 ),
inference(superposition,[status(thm)],[p555,p104]) ).
cnf(p1521,plain,
( ~ spl31
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p1481,c14]) ).
cnf(sct97,plain,
( ~ spl31
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p1521]) ).
cnf(p1483,plain,
( ~ spl46
| ~ spl7
| e24 = e22 ),
inference(superposition,[status(thm)],[p893,p104]) ).
cnf(p1529,plain,
( ~ spl46
| ~ spl7
| e22 != e22 ),
inference(superposition,[status(thm)],[p1483,c18]) ).
cnf(p1541,plain,
( ~ spl46
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p1529]) ).
cnf(sct98,plain,
( ~ spl46
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p1541]) ).
cnf(p1556,plain,
( ~ spl49
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p972,p120]) ).
cnf(p1560,plain,
( ~ spl49
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p1556,c13]) ).
cnf(p1574,plain,
( ~ spl49
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1560]) ).
cnf(sct99,plain,
( ~ spl49
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1574]) ).
cnf(p1576,plain,
( ~ spl49
| ~ spl23
| e24 = e23 ),
inference(superposition,[status(thm)],[p972,p123]) ).
cnf(p1587,plain,
( ~ spl49
| ~ spl23
| e23 = e20 ),
inference(superposition,[status(thm)],[p1576,c79]) ).
cnf(p1585,plain,
( ~ spl49
| ~ spl23
| e23 != e23 ),
inference(superposition,[status(thm)],[p1576,c19]) ).
cnf(p1589,plain,
( ~ spl49
| ~ spl23
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1587,p1585]) ).
cnf(p1602,plain,
( ~ spl49
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p1589]) ).
cnf(sct100,plain,
( ~ spl49
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1602]) ).
cnf(c117,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1387,plain,
( ~ spl42
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p810,c117]) ).
cnf(p1644,plain,
( ~ spl42
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1387]) ).
cnf(p1685,plain,
( ~ spl42
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1644,c10]) ).
cnf(sct101,plain,
( ~ spl42
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1685]) ).
cnf(p835,plain,
( ~ spl41
| h(e11) = e23 ),
inference(superposition,[status(thm)],[p145,c158]) ).
cnf(p1687,plain,
( ~ spl41
| ~ spl7
| e22 = e23 ),
inference(superposition,[status(thm)],[p104,p835]) ).
cnf(p1704,plain,
( ~ spl41
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p1687,c17]) ).
cnf(sct102,plain,
( ~ spl41
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p1704]) ).
cnf(p1486,plain,
( ~ spl7
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p104,c111]) ).
cnf(p1731,plain,
( ~ spl7
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1486]) ).
cnf(p1750,plain,
( ~ spl7
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1731,c10]) ).
cnf(sct103,plain,
( ~ spl7
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1750]) ).
cnf(p272,plain,
( ~ spl9
| ~ spl6
| e21 = e24 ),
inference(superposition,[status(thm)],[p103,p106]) ).
cnf(p1768,plain,
( ~ spl9
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p272,c16]) ).
cnf(sct104,plain,
( ~ spl9
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1768]) ).
cnf(p912,plain,
( ~ spl46
| ~ spl41
| e24 = e23 ),
inference(superposition,[status(thm)],[p893,p835]) ).
cnf(p922,plain,
( ~ spl46
| ~ spl41
| e23 = e20 ),
inference(superposition,[status(thm)],[p912,c79]) ).
cnf(p921,plain,
( ~ spl46
| ~ spl41
| e23 != e23 ),
inference(superposition,[status(thm)],[p912,c19]) ).
cnf(p925,plain,
( ~ spl46
| ~ spl41
| e20 != e20 ),
inference(demodulation,[status(thm)],[p922,p921]) ).
cnf(p1779,plain,
( ~ spl46
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p925]) ).
cnf(sct105,plain,
( ~ spl46
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p1779]) ).
cnf(p1797,plain,
( ~ spl36
| ~ spl6
| e21 = e22 ),
inference(superposition,[status(thm)],[p103,p633]) ).
cnf(p1844,plain,
( ~ spl36
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1797,c14]) ).
cnf(sct106,plain,
( ~ spl36
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1844]) ).
cnf(p1785,plain,
( ~ spl46
| ~ spl6
| e24 = e21 ),
inference(superposition,[status(thm)],[p893,p103]) ).
cnf(p1824,plain,
( ~ spl46
| ~ spl6
| e21 != e21 ),
inference(superposition,[status(thm)],[p1785,c16]) ).
cnf(p1845,plain,
( ~ spl46
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p1824]) ).
cnf(sct107,plain,
( ~ spl46
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1845]) ).
cnf(p1879,plain,
( ~ spl41
| ~ spl31
| e21 = e23 ),
inference(superposition,[status(thm)],[p555,p835]) ).
cnf(p1896,plain,
( ~ spl41
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p1879,c15]) ).
cnf(sct108,plain,
( ~ spl41
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p1896]) ).
cnf(p1542,plain,
( ~ spl13
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p111,c117]) ).
cnf(p1914,plain,
( ~ spl13
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1542]) ).
cnf(p1947,plain,
( ~ spl13
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1914,c10]) ).
cnf(sct109,plain,
( ~ spl13
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1947]) ).
cnf(p1963,plain,
( ~ spl48
| ~ spl18
| e24 = e23 ),
inference(superposition,[status(thm)],[p852,p117]) ).
cnf(p1975,plain,
( ~ spl48
| ~ spl18
| e23 = e20 ),
inference(superposition,[status(thm)],[p1963,c79]) ).
cnf(p1973,plain,
( ~ spl48
| ~ spl18
| e23 != e23 ),
inference(superposition,[status(thm)],[p1963,c19]) ).
cnf(p1977,plain,
( ~ spl48
| ~ spl18
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1975,p1973]) ).
cnf(p1991,plain,
( ~ spl48
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p1977]) ).
cnf(sct110,plain,
( ~ spl48
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p1991]) ).
fof(sdef40,definition,
( spl40
<=> j(e23) = e10 ),
introduced(definition,[new_symbols(naming,[spl40])],[avatar_definition]) ).
cnf(p144,plain,
( ~ spl40
| j(e23) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef40]) ).
cnf(p1707,plain,
( ~ spl40
| h(e10) = e23 ),
inference(superposition,[status(thm)],[p144,c158]) ).
cnf(p2043,plain,
( ~ spl40
| e23 = e21 ),
inference(superposition,[status(thm)],[p1707,c105]) ).
cnf(p2051,plain,
( ~ spl40
| e21 != e21 ),
inference(superposition,[status(thm)],[p2043,c15]) ).
cnf(p2088,plain,
( ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p2051]) ).
cnf(sct111,plain,
~ spl40,
inference(avatar_contradiction_clause,[status(thm)],[p2088]) ).
cnf(p2095,plain,
( ~ spl43
| ~ spl19
| e24 = e23 ),
inference(superposition,[status(thm)],[p118,p796]) ).
cnf(p2109,plain,
( ~ spl43
| ~ spl19
| e23 = e20 ),
inference(superposition,[status(thm)],[p2095,c79]) ).
cnf(p2108,plain,
( ~ spl43
| ~ spl19
| e23 != e23 ),
inference(superposition,[status(thm)],[p2095,c19]) ).
cnf(p2112,plain,
( ~ spl43
| ~ spl19
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2109,p2108]) ).
cnf(p2139,plain,
( ~ spl43
| ~ spl19
| $false ),
inference(equality_resolution,[status(thm)],[p2112]) ).
cnf(sct112,plain,
( ~ spl43
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2139]) ).
cnf(p1788,plain,
( ~ spl6
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p103,c111]) ).
cnf(p2148,plain,
( ~ spl6
| e22 = e21 ),
inference(superposition,[status(thm)],[p1788,c105]) ).
cnf(p2145,plain,
( ~ spl6
| ~ spl0
| e20 = e22 ),
inference(superposition,[status(thm)],[p96,p1788]) ).
cnf(p2152,plain,
( ~ spl6
| ~ spl0
| e20 = e21 ),
inference(demodulation,[status(thm)],[p2148,p2145]) ).
cnf(p2184,plain,
( ~ spl6
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2152,c10]) ).
cnf(sct113,plain,
( ~ spl6
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2184]) ).
cnf(p2203,plain,
( ~ spl36
| ~ spl5
| e20 = e22 ),
inference(superposition,[status(thm)],[p102,p633]) ).
cnf(p2306,plain,
( ~ spl36
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p2203,c11]) ).
cnf(sct114,plain,
( ~ spl36
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2306]) ).
cnf(p2204,plain,
( ~ spl31
| ~ spl5
| e20 = e21 ),
inference(superposition,[status(thm)],[p102,p555]) ).
cnf(p2310,plain,
( ~ spl31
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p2204,c10]) ).
cnf(sct115,plain,
( ~ spl31
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2310]) ).
cnf(p2186,plain,
( ~ spl9
| ~ spl5
| e24 = e20 ),
inference(superposition,[status(thm)],[p106,p102]) ).
cnf(p2205,plain,
( ~ spl9
| ~ spl5
| e20 != e20 ),
inference(superposition,[status(thm)],[p2186,c13]) ).
cnf(p2311,plain,
( ~ spl9
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p2205]) ).
cnf(sct116,plain,
( ~ spl9
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2311]) ).
fof(sdef26,definition,
( spl26
<=> j(e20) = e11 ),
introduced(definition,[new_symbols(naming,[spl26])],[avatar_definition]) ).
cnf(p127,plain,
( ~ spl26
| j(e20) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef26]) ).
cnf(c130,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2314,plain,
( ~ spl26
| e11 = e10 ),
inference(superposition,[status(thm)],[p127,c130]) ).
cnf(p2320,plain,
( ~ spl26
| e10 != e10 ),
inference(superposition,[status(thm)],[p2314,c0]) ).
cnf(p2334,plain,
( ~ spl26
| $false ),
inference(equality_resolution,[status(thm)],[p2320]) ).
cnf(sct117,plain,
~ spl26,
inference(avatar_contradiction_clause,[status(thm)],[p2334]) ).
cnf(p2360,plain,
( ~ spl41
| ~ spl5
| e20 = e23 ),
inference(superposition,[status(thm)],[p102,p835]) ).
cnf(p2407,plain,
( ~ spl41
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p2360,c12]) ).
cnf(sct118,plain,
( ~ spl41
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2407]) ).
cnf(p2192,plain,
( ~ spl46
| ~ spl5
| e24 = e20 ),
inference(superposition,[status(thm)],[p893,p102]) ).
cnf(p2286,plain,
( ~ spl46
| ~ spl5
| e20 != e20 ),
inference(superposition,[status(thm)],[p2192,c13]) ).
cnf(p2418,plain,
( ~ spl46
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p2286]) ).
cnf(sct119,plain,
( ~ spl46
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2418]) ).
cnf(p884,plain,
( ~ spl47
| ~ spl37
| e22 = e24 ),
inference(superposition,[status(thm)],[p618,p867]) ).
cnf(p2440,plain,
( ~ spl47
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p884,c18]) ).
cnf(sct120,plain,
( ~ spl47
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2440]) ).
cnf(p2445,plain,
( ~ spl37
| ~ spl10
| e20 = e22 ),
inference(superposition,[status(thm)],[p108,p618]) ).
cnf(p2533,plain,
( ~ spl37
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p2445,c11]) ).
cnf(sct121,plain,
( ~ spl37
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2533]) ).
cnf(p2442,plain,
( ~ spl32
| ~ spl10
| e21 = e20 ),
inference(superposition,[status(thm)],[p542,p108]) ).
cnf(p2456,plain,
( ~ spl32
| ~ spl10
| e20 != e20 ),
inference(superposition,[status(thm)],[p2442,c10]) ).
cnf(p2534,plain,
( ~ spl32
| ~ spl10
| $false ),
inference(equality_resolution,[status(thm)],[p2456]) ).
cnf(sct122,plain,
( ~ spl32
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2534]) ).
cnf(p2537,plain,
( ~ spl37
| ~ spl11
| e21 = e22 ),
inference(superposition,[status(thm)],[p109,p618]) ).
cnf(p2585,plain,
( ~ spl37
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2537,c14]) ).
cnf(sct123,plain,
( ~ spl37
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2585]) ).
fof(sdef27,definition,
( spl27
<=> j(e20) = e12 ),
introduced(definition,[new_symbols(naming,[spl27])],[avatar_definition]) ).
cnf(p128,plain,
( ~ spl27
| j(e20) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef27]) ).
cnf(p2599,plain,
( ~ spl27
| e12 = e10 ),
inference(superposition,[status(thm)],[p128,c130]) ).
cnf(c1,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2603,plain,
( ~ spl27
| e10 != e10 ),
inference(superposition,[status(thm)],[p2599,c1]) ).
cnf(p2621,plain,
( ~ spl27
| $false ),
inference(equality_resolution,[status(thm)],[p2603]) ).
cnf(sct124,plain,
~ spl27,
inference(avatar_contradiction_clause,[status(thm)],[p2621]) ).
cnf(p2669,plain,
( ~ spl47
| ~ spl32
| e21 = e24 ),
inference(superposition,[status(thm)],[p542,p867]) ).
cnf(p2692,plain,
( ~ spl47
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p2669,c16]) ).
cnf(sct125,plain,
( ~ spl47
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2692]) ).
cnf(c123,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1522,plain,
( ~ spl16
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p115,c123]) ).
cnf(p2712,plain,
( ~ spl16
| e22 = e21 ),
inference(superposition,[status(thm)],[p1522,c105]) ).
cnf(p2709,plain,
( ~ spl16
| ~ spl0
| e20 = e22 ),
inference(superposition,[status(thm)],[p96,p1522]) ).
cnf(p2716,plain,
( ~ spl16
| ~ spl0
| e20 = e21 ),
inference(demodulation,[status(thm)],[p2712,p2709]) ).
cnf(p2749,plain,
( ~ spl16
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2716,c10]) ).
cnf(sct126,plain,
( ~ spl16
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2749]) ).
cnf(p1952,plain,
( ~ spl12
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p110,c117]) ).
cnf(p2797,plain,
( ~ spl12
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1952]) ).
cnf(p2824,plain,
( ~ spl12
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2797,c10]) ).
cnf(sct127,plain,
( ~ spl12
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2824]) ).
cnf(c129,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1678,plain,
( ~ spl24
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p124,c129]) ).
cnf(p2844,plain,
( ~ spl24
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1678]) ).
cnf(p2889,plain,
( ~ spl24
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2844,c10]) ).
cnf(sct128,plain,
( ~ spl24
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2889]) ).
cnf(p2891,plain,
( ~ spl14
| ~ spl11
| e21 = e24 ),
inference(superposition,[status(thm)],[p109,p112]) ).
cnf(p2918,plain,
( ~ spl14
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2891,c16]) ).
cnf(sct129,plain,
( ~ spl14
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2918]) ).
cnf(p2926,plain,
( ~ spl47
| ~ spl11
| e21 = e24 ),
inference(superposition,[status(thm)],[p109,p867]) ).
cnf(p2974,plain,
( ~ spl47
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2926,c16]) ).
cnf(sct130,plain,
( ~ spl47
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2974]) ).
cnf(p2001,plain,
( ~ spl19
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p118,c123]) ).
cnf(p2992,plain,
( ~ spl19
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p2001]) ).
cnf(p3037,plain,
( ~ spl19
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2992,c10]) ).
cnf(sct131,plain,
( ~ spl19
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3037]) ).
cnf(p1383,plain,
( ~ spl14
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p112,c117]) ).
cnf(p3042,plain,
( ~ spl14
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1383]) ).
cnf(p3090,plain,
( ~ spl14
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p3042,c10]) ).
cnf(sct132,plain,
( ~ spl14
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3090]) ).
cnf(p3095,plain,
( ~ spl47
| ~ spl10
| e20 = e24 ),
inference(superposition,[status(thm)],[p108,p867]) ).
cnf(p3139,plain,
( ~ spl47
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p3095,c13]) ).
cnf(sct133,plain,
( ~ spl47
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3139]) ).
cnf(p3141,plain,
( ~ spl31
| ~ spl9
| e21 = e24 ),
inference(superposition,[status(thm)],[p555,p106]) ).
cnf(p3186,plain,
( ~ spl31
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p3141,c16]) ).
cnf(sct134,plain,
( ~ spl31
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p3186]) ).
cnf(p3143,plain,
( ~ spl36
| ~ spl9
| e22 = e24 ),
inference(superposition,[status(thm)],[p633,p106]) ).
cnf(p3216,plain,
( ~ spl36
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p3143,c18]) ).
cnf(sct135,plain,
( ~ spl36
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p3216]) ).
cnf(p1850,plain,
( ~ spl17
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p116,c123]) ).
cnf(p3243,plain,
( ~ spl17
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1850]) ).
cnf(p3275,plain,
( ~ spl17
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p3243,c10]) ).
cnf(sct136,plain,
( ~ spl17
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3275]) ).
fof(sdef28,definition,
( spl28
<=> j(e20) = e13 ),
introduced(definition,[new_symbols(naming,[spl28])],[avatar_definition]) ).
cnf(p129,plain,
( ~ spl28
| j(e20) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef28]) ).
cnf(p3293,plain,
( ~ spl28
| e13 = e10 ),
inference(superposition,[status(thm)],[p129,c130]) ).
cnf(p3297,plain,
( ~ spl28
| e10 != e10 ),
inference(superposition,[status(thm)],[p3293,c2]) ).
cnf(p3313,plain,
( ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p3297]) ).
cnf(sct137,plain,
~ spl28,
inference(avatar_contradiction_clause,[status(thm)],[p3313]) ).
cnf(p3315,plain,
( ~ spl18
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p117]) ).
cnf(p3337,plain,
( ~ spl18
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p3315,c12]) ).
cnf(sct138,plain,
( ~ spl18
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p3337]) ).
cnf(p2140,plain,
( ~ spl44
| h(e14) = e23 ),
inference(superposition,[status(thm)],[p148,c158]) ).
cnf(p3342,plain,
( ~ spl44
| ~ spl22
| e22 = e23 ),
inference(superposition,[status(thm)],[p122,p2140]) ).
cnf(p3396,plain,
( ~ spl44
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p3342,c17]) ).
cnf(sct139,plain,
( ~ spl44
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p3396]) ).
cnf(p1968,plain,
( ~ spl18
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p117,c123]) ).
cnf(p3405,plain,
( ~ spl18
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p1968]) ).
cnf(p3450,plain,
( ~ spl18
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p3405,c10]) ).
cnf(sct140,plain,
( ~ spl18
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3450]) ).
cnf(p490,plain,
( ~ spl25
| h(e10) = e20 ),
inference(superposition,[status(thm)],[p126,c155]) ).
cnf(p1436,plain,
( ~ spl25
| ~ spl8
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1236]) ).
cnf(p3465,plain,
( ~ spl25
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p1436,c10]) ).
cnf(sct141,plain,
( ~ spl25
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p3465]) ).
cnf(p1733,plain,
( ~ spl25
| ~ spl7
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1486]) ).
cnf(p3479,plain,
( ~ spl25
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p1733,c10]) ).
cnf(sct142,plain,
( ~ spl25
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p3479]) ).
cnf(p1916,plain,
( ~ spl25
| ~ spl13
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1542]) ).
cnf(p3495,plain,
( ~ spl25
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p1916,c10]) ).
cnf(sct143,plain,
( ~ spl25
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p3495]) ).
cnf(p2147,plain,
( ~ spl25
| ~ spl6
| e20 = e22 ),
inference(superposition,[status(thm)],[p490,p1788]) ).
cnf(p2154,plain,
( ~ spl25
| ~ spl6
| e20 = e21 ),
inference(demodulation,[status(thm)],[p2148,p2147]) ).
cnf(p3526,plain,
( ~ spl25
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p2154,c10]) ).
cnf(sct144,plain,
( ~ spl25
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p3526]) ).
cnf(p2799,plain,
( ~ spl25
| ~ spl12
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1952]) ).
cnf(p3540,plain,
( ~ spl25
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p2799,c10]) ).
cnf(sct145,plain,
( ~ spl25
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p3540]) ).
cnf(p3407,plain,
( ~ spl25
| ~ spl18
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1968]) ).
cnf(p3556,plain,
( ~ spl25
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p3407,c10]) ).
cnf(sct146,plain,
( ~ spl25
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p3556]) ).
cnf(p1646,plain,
( ~ spl42
| ~ spl25
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1387]) ).
cnf(p3572,plain,
( ~ spl42
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p1646,c10]) ).
cnf(sct147,plain,
( ~ spl42
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p3572]) ).
cnf(p3245,plain,
( ~ spl25
| ~ spl17
| e20 = e21 ),
inference(superposition,[status(thm)],[p490,p1850]) ).
cnf(p3586,plain,
( ~ spl25
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p3245,c10]) ).
cnf(sct148,plain,
( ~ spl25
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p3586]) ).
cnf(p2711,plain,
( ~ spl25
| ~ spl16
| e20 = e22 ),
inference(superposition,[status(thm)],[p490,p1522]) ).
cnf(p2718,plain,
( ~ spl25
| ~ spl16
| e20 = e21 ),
inference(demodulation,[status(thm)],[p2712,p2711]) ).
cnf(p3617,plain,
( ~ spl25
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2718,c10]) ).
cnf(sct149,plain,
( ~ spl25
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3617]) ).
fof(sdef4,definition,
( spl4
<=> h(e10) = e24 ),
introduced(definition,[new_symbols(naming,[spl4])],[avatar_definition]) ).
cnf(p100,plain,
( ~ spl4
| h(e10) = e24 ),
inference(avatar_component_clause,[status(thm)],[sdef4]) ).
cnf(p3624,plain,
( ~ spl4
| e24 = e21 ),
inference(superposition,[status(thm)],[p100,c105]) ).
cnf(p3635,plain,
( ~ spl4
| e21 != e21 ),
inference(superposition,[status(thm)],[p3624,c16]) ).
cnf(p3671,plain,
( ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p3635]) ).
cnf(sct150,plain,
~ spl4,
inference(avatar_contradiction_clause,[status(thm)],[p3671]) ).
cnf(c95,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp0,plain,
( spl4
| spl3
| spl2
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c95,sdef0,sdef1,sdef2,sdef3,sdef4]) ).
cnf(c96,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp1,plain,
( spl9
| spl8
| spl7
| spl6
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c96,sdef5,sdef6,sdef7,sdef8,sdef9]) ).
cnf(c97,plain,
( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp2,plain,
( spl14
| spl13
| spl12
| spl11
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c97,sdef10,sdef11,sdef12,sdef13,sdef14]) ).
cnf(c98,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp3,plain,
( spl19
| spl18
| spl17
| spl16
| spl15 ),
inference(avatar_split_clause,[status(thm)],[c98,sdef15,sdef16,sdef17,sdef18,sdef19]) ).
cnf(c99,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp4,plain,
( spl24
| spl23
| spl22
| spl21
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c99,sdef20,sdef21,sdef22,sdef23,sdef24]) ).
cnf(c100,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp5,plain,
( spl29
| spl28
| spl27
| spl26
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c100,sdef25,sdef26,sdef27,sdef28,sdef29]) ).
cnf(c101,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp6,plain,
( spl34
| spl33
| spl32
| spl31
| spl30 ),
inference(avatar_split_clause,[status(thm)],[c101,sdef30,sdef31,sdef32,sdef33,sdef34]) ).
cnf(c102,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp7,plain,
( spl39
| spl38
| spl37
| spl36
| spl35 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef35,sdef36,sdef37,sdef38,sdef39]) ).
cnf(c103,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp8,plain,
( spl44
| spl43
| spl42
| spl41
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef40,sdef41,sdef42,sdef43,sdef44]) ).
cnf(c104,plain,
( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp9,plain,
( spl49
| spl48
| spl47
| spl46
| spl45 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef45,sdef46,sdef47,sdef48,sdef49]) ).
cnf(sat_ref,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,ssp3,ssp4,ssp5,ssp6,ssp7,ssp8,ssp9,sct0,sct1,sct2,sct3,sct4,sct5,sct6,sct7,sct8,sct9,sct10,sct11,sct12,sct13,sct14,sct15,sct16,sct17,sct18,sct19,sct20,sct21,sct22,sct23,sct24,sct25,sct26,sct27,sct28,sct29,sct30,sct31,sct32,sct33,sct34,sct35,sct36,sct37,sct38,sct39,sct40,sct41,sct42,sct43,sct44,sct45,sct46,sct47,sct48,sct49,sct50,sct51,sct52,sct53,sct54,sct55,sct56,sct57,sct58,sct59,sct60,sct61,sct62,sct63,sct64,sct65,sct66,sct67,sct68,sct69,sct70,sct71,sct72,sct73,sct74,sct75,sct76,sct77,sct78,sct79,sct80,sct81,sct82,sct83,sct84,sct85,sct86,sct87,sct88,sct89,sct90,sct91,sct92,sct93,sct94,sct95,sct96,sct97,sct98,sct99,sct100,sct101,sct102,sct103,sct104,sct105,sct106,sct107,sct108,sct109,sct110,sct111,sct112,sct113,sct114,sct115,sct116,sct117,sct118,sct119,sct120,sct121,sct122,sct123,sct124,sct125,sct126,sct127,sct128,sct129,sct130,sct131,sct132,sct133,sct134,sct135,sct136,sct137,sct138,sct139,sct140,sct141,sct142,sct143,sct144,sct145,sct146,sct147,sct148,sct149,sct150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG088+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 04:46:22 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.44/3.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.44/3.74 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
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