%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG182+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 : n019.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 12:51:49 PM UTC 2026
% Result : Theorem 22.18s 10.38s
% Output : Proof 22.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 611 ( 42 unt; 50 def)
% Number of atoms : 2156 (1062 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2589 (1044 ~;1021 |; 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(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]) ).
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(p216,plain,
( ~ spl1
| ~ spl0
| e20 = e21 ),
inference(superposition,[status(thm)],[p96,p97]) ).
cnf(p268,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[c10,p216]) ).
cnf(sct0,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p268]) ).
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(sct1,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p270]) ).
cnf(c14,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
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(p220,plain,
( ~ spl2
| ~ spl1
| e21 = e22 ),
inference(superposition,[status(thm)],[p97,p98]) ).
cnf(p293,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[c14,p220]) ).
cnf(sct2,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p293]) ).
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(sct3,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(sct4,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(sct5,plain,
( ~ spl12
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p303]) ).
cnf(c17,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
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(p226,plain,
( ~ spl3
| ~ spl2
| e22 = e23 ),
inference(superposition,[status(thm)],[p98,p99]) ).
cnf(p307,plain,
( ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[c17,p226]) ).
cnf(sct6,plain,
( ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p307]) ).
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(sct7,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(sct8,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p311]) ).
cnf(c19,plain,
e23 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
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(p234,plain,
( ~ spl4
| ~ spl3
| e23 = e24 ),
inference(superposition,[status(thm)],[p99,p100]) ).
cnf(p318,plain,
( ~ spl4
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[c19,p234]) ).
cnf(sct9,plain,
( ~ spl4
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p318]) ).
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(sct10,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(sct11,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(sct12,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(sct13,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(sct14,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(sct15,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(sct16,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(sct17,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(sct18,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(sct19,plain,
( ~ spl24
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p351]) ).
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]) ).
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]) ).
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(c7,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p406,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p403,c7]) ).
cnf(sct20,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(c9,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p411,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p408,c9]) ).
cnf(sct21,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p411]) ).
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]) ).
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]) ).
cnf(p413,plain,
( ~ spl41
| ~ spl40
| e10 = e11 ),
inference(superposition,[status(thm)],[p144,p145]) ).
cnf(c0,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p416,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p413,c0]) ).
cnf(sct22,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p416]) ).
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(c4,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p421,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p418,c4]) ).
cnf(sct23,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(sct24,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(sct25,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(sct26,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(sct27,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(sct28,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(sct29,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p451]) ).
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]) ).
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(c155,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p461,plain,
( ~ spl27
| h(e12) = e20 ),
inference(superposition,[status(thm)],[p128,c155]) ).
cnf(p467,plain,
( ~ spl27
| ~ spl13
| e23 = e20 ),
inference(superposition,[status(thm)],[p111,p461]) ).
cnf(c12,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p468,plain,
( ~ spl27
| ~ spl13
| e20 != e20 ),
inference(superposition,[status(thm)],[p467,c12]) ).
cnf(p472,plain,
( ~ spl27
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p468]) ).
cnf(sct30,plain,
( ~ spl27
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p472]) ).
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(sct31,plain,
( ~ spl19
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p531]) ).
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(c156,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p542,plain,
( ~ spl32
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p134,c156]) ).
cnf(p549,plain,
( ~ spl32
| ~ spl13
| e23 = e21 ),
inference(superposition,[status(thm)],[p111,p542]) ).
cnf(c15,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p550,plain,
( ~ spl32
| ~ spl13
| e21 != e21 ),
inference(superposition,[status(thm)],[p549,c15]) ).
cnf(p553,plain,
( ~ spl32
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p550]) ).
cnf(sct32,plain,
( ~ spl32
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p553]) ).
cnf(p604,plain,
( ~ spl24
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p124,p121]) ).
cnf(c16,plain,
e21 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p605,plain,
( ~ spl24
| ~ spl21
| e21 != e21 ),
inference(superposition,[status(thm)],[p604,c16]) ).
cnf(p609,plain,
( ~ spl24
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p605]) ).
cnf(sct33,plain,
( ~ spl24
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p609]) ).
cnf(c157,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p610,plain,
( ~ spl38
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p141,c157]) ).
cnf(p612,plain,
( ~ spl38
| ~ spl15
| e20 = e22 ),
inference(superposition,[status(thm)],[p114,p610]) ).
cnf(c11,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p618,plain,
( ~ spl38
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p612,c11]) ).
cnf(sct34,plain,
( ~ spl38
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p618]) ).
cnf(p620,plain,
( ~ spl39
| ~ spl37
| e14 = e12 ),
inference(superposition,[status(thm)],[p142,p140]) ).
fof(f3,axiom,
( op1(e14,e14) = e11
& op1(e14,e13) = e13
& op1(e14,e12) = e14
& op1(e14,e11) = e10
& op1(e14,e10) = e12
& op1(e13,e14) = e12
& op1(e13,e13) = e10
& op1(e13,e12) = e13
& op1(e13,e11) = e11
& op1(e13,e10) = e14
& op1(e12,e14) = e10
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e13
& op1(e12,e10) = e11
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e11
& op1(e11,e11) = e14
& op1(e11,e10) = e10
& op1(e10,e14) = e14
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3_nnf,plain,
( op1(e14,e14) = e11
& op1(e14,e13) = e13
& op1(e14,e12) = e14
& op1(e14,e11) = e10
& op1(e14,e10) = e12
& op1(e13,e14) = e12
& op1(e13,e13) = e10
& op1(e13,e12) = e13
& op1(e13,e11) = e11
& op1(e13,e10) = e14
& op1(e12,e14) = e10
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e13
& op1(e12,e10) = e11
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e11
& op1(e11,e11) = e14
& op1(e11,e10) = e10
& op1(e10,e14) = e14
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e13 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( op1(e14,e14) = e11
& op1(e14,e13) = e13
& op1(e14,e12) = e14
& op1(e14,e11) = e10
& op1(e14,e10) = e12
& op1(e13,e14) = e12
& op1(e13,e13) = e10
& op1(e13,e12) = e13
& op1(e13,e11) = e11
& op1(e13,e10) = e14
& op1(e12,e14) = e10
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e13
& op1(e12,e10) = e11
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e11
& op1(e11,e11) = e14
& op1(e11,e10) = e10
& op1(e10,e14) = e14
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e13 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c54,plain,
op1(e11,e14) = e13,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p626,plain,
( ~ spl39
| ~ spl37
| e11 = e13 ),
inference(superposition,[status(thm)],[p620,c54]) ).
cnf(c5,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p634,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p626,c5]) ).
cnf(sct35,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p634]) ).
cnf(p621,plain,
( ~ spl37
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p140,c157]) ).
cnf(p636,plain,
( ~ spl37
| ~ spl13
| e23 = e22 ),
inference(superposition,[status(thm)],[p111,p621]) ).
cnf(p637,plain,
( ~ spl37
| ~ spl13
| e22 != e22 ),
inference(superposition,[status(thm)],[p636,c17]) ).
cnf(p639,plain,
( ~ spl37
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p637]) ).
cnf(sct36,plain,
( ~ spl37
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p639]) ).
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]) ).
cnf(p659,plain,
( ~ spl39
| ~ spl35
| e14 = e10 ),
inference(superposition,[status(thm)],[p142,p138]) ).
cnf(c3,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p661,plain,
( ~ spl39
| ~ spl35
| e10 != e10 ),
inference(superposition,[status(thm)],[p659,c3]) ).
cnf(p670,plain,
( ~ spl39
| ~ spl35
| $false ),
inference(equality_resolution,[status(thm)],[p661]) ).
cnf(sct37,plain,
( ~ spl39
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p670]) ).
cnf(p660,plain,
( ~ spl35
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p138,c157]) ).
cnf(p672,plain,
( ~ spl35
| ~ spl3
| e23 = e22 ),
inference(superposition,[status(thm)],[p99,p660]) ).
cnf(p673,plain,
( ~ spl35
| ~ spl3
| e22 != e22 ),
inference(superposition,[status(thm)],[p672,c17]) ).
cnf(p675,plain,
( ~ spl35
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p673]) ).
cnf(sct38,plain,
( ~ spl35
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p675]) ).
cnf(p676,plain,
( ~ spl39
| h(e14) = e22 ),
inference(superposition,[status(thm)],[p142,c157]) ).
cnf(p678,plain,
( ~ spl39
| ~ spl21
| e21 = e22 ),
inference(superposition,[status(thm)],[p121,p676]) ).
cnf(p683,plain,
( ~ spl39
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p678,c14]) ).
cnf(sct39,plain,
( ~ spl39
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p683]) ).
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(p698,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p508]) ).
cnf(sct40,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p698]) ).
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(p703,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p518]) ).
cnf(sct41,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p703]) ).
cnf(p705,plain,
( ~ spl38
| ~ spl16
| e22 = e21 ),
inference(superposition,[status(thm)],[p610,p115]) ).
cnf(p706,plain,
( ~ spl38
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p705,c14]) ).
cnf(p708,plain,
( ~ spl38
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p706]) ).
cnf(sct42,plain,
( ~ spl38
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p708]) ).
cnf(p710,plain,
( ~ spl24
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p124,p120]) ).
cnf(p713,plain,
( ~ spl24
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p710,c13]) ).
cnf(p721,plain,
( ~ spl24
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p713]) ).
cnf(sct43,plain,
( ~ spl24
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p721]) ).
cnf(p712,plain,
( ~ spl39
| ~ spl20
| e22 = e20 ),
inference(superposition,[status(thm)],[p676,p120]) ).
cnf(p718,plain,
( ~ spl39
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p712,c11]) ).
cnf(p722,plain,
( ~ spl39
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p718]) ).
cnf(sct44,plain,
( ~ spl39
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p722]) ).
cnf(p724,plain,
( ~ spl39
| ~ spl23
| e22 = e23 ),
inference(superposition,[status(thm)],[p676,p123]) ).
cnf(p727,plain,
( ~ spl39
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p724,c17]) ).
cnf(sct45,plain,
( ~ spl39
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p727]) ).
cnf(p594,plain,
( ~ spl24
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p124,p122]) ).
cnf(p597,plain,
( ~ spl24
| ~ spl22
| e22 != e22 ),
inference(superposition,[status(thm)],[p594,c18]) ).
cnf(p728,plain,
( ~ spl24
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p597]) ).
cnf(sct46,plain,
( ~ spl24
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p728]) ).
cnf(p694,plain,
( ~ spl38
| ~ spl18
| e22 = e23 ),
inference(superposition,[status(thm)],[p610,p117]) ).
cnf(p755,plain,
( ~ spl38
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p694,c17]) ).
cnf(sct47,plain,
( ~ spl38
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p755]) ).
cnf(p785,plain,
( ~ spl27
| ~ spl14
| e20 = e24 ),
inference(superposition,[status(thm)],[p461,p112]) ).
cnf(p796,plain,
( ~ spl27
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p785,c13]) ).
cnf(sct48,plain,
( ~ spl27
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p796]) ).
cnf(p786,plain,
( ~ spl32
| ~ spl14
| e24 = e21 ),
inference(superposition,[status(thm)],[p112,p542]) ).
fof(f4,axiom,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& 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(p802,plain,
( ~ spl32
| ~ spl14
| e21 = e20 ),
inference(superposition,[status(thm)],[p786,c79]) ).
cnf(p797,plain,
( ~ spl32
| ~ spl14
| e21 != e21 ),
inference(superposition,[status(thm)],[p786,c16]) ).
cnf(p805,plain,
( ~ spl32
| ~ spl14
| e20 != e20 ),
inference(demodulation,[status(thm)],[p802,p797]) ).
cnf(p823,plain,
( ~ spl32
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p805]) ).
cnf(sct49,plain,
( ~ spl32
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p823]) ).
cnf(p788,plain,
( ~ spl37
| ~ spl14
| e24 = e22 ),
inference(superposition,[status(thm)],[p112,p621]) ).
cnf(c74,plain,
op2(e20,e24) = e21,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p811,plain,
( ~ spl37
| ~ spl14
| e22 = e21 ),
inference(superposition,[status(thm)],[p788,c74]) ).
cnf(p812,plain,
( ~ spl37
| ~ spl14
| e24 = e21 ),
inference(demodulation,[status(thm)],[p811,p788]) ).
cnf(p830,plain,
( ~ spl37
| ~ spl14
| e21 = e20 ),
inference(superposition,[status(thm)],[p812,c79]) ).
cnf(p808,plain,
( ~ spl37
| ~ spl14
| e22 != e22 ),
inference(superposition,[status(thm)],[p788,c18]) ).
cnf(p814,plain,
( ~ spl37
| ~ spl14
| e21 != e21 ),
inference(demodulation,[status(thm)],[p811,p808]) ).
cnf(p834,plain,
( ~ spl37
| ~ spl14
| e20 != e20 ),
inference(demodulation,[status(thm)],[p830,p814]) ).
cnf(p847,plain,
( ~ spl37
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p834]) ).
cnf(sct50,plain,
( ~ spl37
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p847]) ).
cnf(p849,plain,
( ~ spl27
| ~ spl12
| e20 = e22 ),
inference(superposition,[status(thm)],[p461,p110]) ).
cnf(p861,plain,
( ~ spl27
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p849,c11]) ).
cnf(sct51,plain,
( ~ spl27
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p861]) ).
cnf(p851,plain,
( ~ spl32
| ~ spl12
| e21 = e22 ),
inference(superposition,[status(thm)],[p542,p110]) ).
cnf(p868,plain,
( ~ spl32
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p851,c14]) ).
cnf(sct52,plain,
( ~ spl32
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p868]) ).
cnf(c158,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p869,plain,
( ~ spl43
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p147,c158]) ).
cnf(p871,plain,
( ~ spl43
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p869]) ).
cnf(p882,plain,
( ~ spl43
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p871,c12]) ).
cnf(sct53,plain,
( ~ spl43
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p882]) ).
cnf(p884,plain,
( ~ spl44
| ~ spl42
| e14 = e12 ),
inference(superposition,[status(thm)],[p148,p146]) ).
cnf(p890,plain,
( ~ spl44
| ~ spl42
| e11 = e13 ),
inference(superposition,[status(thm)],[p884,c54]) ).
cnf(p898,plain,
( ~ spl44
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p890,c5]) ).
cnf(sct54,plain,
( ~ spl44
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p898]) ).
cnf(p885,plain,
( ~ spl42
| h(e12) = e23 ),
inference(superposition,[status(thm)],[p146,c158]) ).
cnf(p899,plain,
( ~ spl42
| ~ spl12
| e23 = e22 ),
inference(superposition,[status(thm)],[p885,p110]) ).
cnf(c83,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p907,plain,
( ~ spl42
| ~ spl12
| e22 = e20 ),
inference(superposition,[status(thm)],[p899,c83]) ).
cnf(p900,plain,
( ~ spl42
| ~ spl12
| e22 = e23 ),
inference(superposition,[status(thm)],[p110,p885]) ).
cnf(p909,plain,
( ~ spl42
| ~ spl12
| e20 = e23 ),
inference(demodulation,[status(thm)],[p907,p900]) ).
cnf(p934,plain,
( ~ spl42
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p909,c12]) ).
cnf(sct55,plain,
( ~ spl42
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p934]) ).
cnf(p936,plain,
( ~ spl44
| ~ spl41
| e14 = e11 ),
inference(superposition,[status(thm)],[p148,p145]) ).
cnf(c6,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p938,plain,
( ~ spl44
| ~ spl41
| e11 != e11 ),
inference(superposition,[status(thm)],[p936,c6]) ).
cnf(p952,plain,
( ~ spl44
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p938]) ).
cnf(sct56,plain,
( ~ spl44
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p952]) ).
cnf(c159,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p953,plain,
( ~ spl48
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p153,c159]) ).
cnf(p955,plain,
( ~ spl48
| ~ spl15
| e20 = e24 ),
inference(superposition,[status(thm)],[p114,p953]) ).
cnf(p968,plain,
( ~ spl48
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p955,c13]) ).
cnf(sct57,plain,
( ~ spl48
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p968]) ).
cnf(p970,plain,
( ~ spl49
| ~ spl47
| e14 = e12 ),
inference(superposition,[status(thm)],[p154,p152]) ).
cnf(p976,plain,
( ~ spl49
| ~ spl47
| e11 = e13 ),
inference(superposition,[status(thm)],[p970,c54]) ).
cnf(p984,plain,
( ~ spl49
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p976,c5]) ).
cnf(sct58,plain,
( ~ spl49
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p984]) ).
cnf(p971,plain,
( ~ spl47
| h(e12) = e24 ),
inference(superposition,[status(thm)],[p152,c159]) ).
cnf(p985,plain,
( ~ spl47
| ~ spl12
| e24 = e22 ),
inference(superposition,[status(thm)],[p971,p110]) ).
cnf(p992,plain,
( ~ spl47
| ~ spl12
| e22 = e21 ),
inference(superposition,[status(thm)],[p985,c74]) ).
cnf(p989,plain,
( ~ spl47
| ~ spl12
| e22 != e22 ),
inference(superposition,[status(thm)],[p985,c18]) ).
cnf(p995,plain,
( ~ spl47
| ~ spl12
| e21 != e21 ),
inference(demodulation,[status(thm)],[p992,p989]) ).
cnf(p1012,plain,
( ~ spl47
| ~ spl12
| $false ),
inference(equality_resolution,[status(thm)],[p995]) ).
cnf(sct59,plain,
( ~ spl47
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1012]) ).
cnf(p1014,plain,
( ~ spl49
| ~ spl46
| e14 = e11 ),
inference(superposition,[status(thm)],[p154,p151]) ).
cnf(p1016,plain,
( ~ spl49
| ~ spl46
| e11 != e11 ),
inference(superposition,[status(thm)],[p1014,c6]) ).
cnf(p1030,plain,
( ~ spl49
| ~ spl46
| $false ),
inference(equality_resolution,[status(thm)],[p1016]) ).
cnf(sct60,plain,
( ~ spl49
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p1030]) ).
cnf(p1015,plain,
( ~ spl46
| h(e11) = e24 ),
inference(superposition,[status(thm)],[p151,c159]) ).
cnf(p1031,plain,
( ~ spl46
| ~ spl8
| e24 = e23 ),
inference(superposition,[status(thm)],[p1015,p105]) ).
cnf(p1038,plain,
( ~ spl46
| ~ spl8
| e23 = e20 ),
inference(superposition,[status(thm)],[p1031,c79]) ).
cnf(p1035,plain,
( ~ spl46
| ~ spl8
| e23 != e23 ),
inference(superposition,[status(thm)],[p1031,c19]) ).
cnf(p1041,plain,
( ~ spl46
| ~ spl8
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1038,p1035]) ).
cnf(p1060,plain,
( ~ spl46
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p1041]) ).
cnf(sct61,plain,
( ~ spl46
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1060]) ).
cnf(p1062,plain,
( ~ spl49
| ~ spl45
| e14 = e10 ),
inference(superposition,[status(thm)],[p154,p150]) ).
cnf(p1064,plain,
( ~ spl49
| ~ spl45
| e10 != e10 ),
inference(superposition,[status(thm)],[p1062,c3]) ).
cnf(p1082,plain,
( ~ spl49
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p1064]) ).
cnf(sct62,plain,
( ~ spl49
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p1082]) ).
cnf(p1063,plain,
( ~ spl45
| h(e10) = e24 ),
inference(superposition,[status(thm)],[p150,c159]) ).
cnf(p1083,plain,
( ~ spl45
| ~ spl3
| e24 = e23 ),
inference(superposition,[status(thm)],[p1063,p99]) ).
cnf(p1088,plain,
( ~ spl45
| ~ spl3
| e23 = e20 ),
inference(superposition,[status(thm)],[p1083,c79]) ).
cnf(p1085,plain,
( ~ spl45
| ~ spl3
| e23 != e23 ),
inference(superposition,[status(thm)],[p1083,c19]) ).
cnf(p1091,plain,
( ~ spl45
| ~ spl3
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1088,p1085]) ).
cnf(p1107,plain,
( ~ spl45
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1091]) ).
cnf(sct63,plain,
( ~ spl45
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1107]) ).
cnf(p1081,plain,
( ~ spl49
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p154,c159]) ).
cnf(p1108,plain,
( ~ spl49
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p1081,p121]) ).
cnf(p1117,plain,
( ~ spl49
| ~ spl21
| e21 = e20 ),
inference(superposition,[status(thm)],[p1108,c79]) ).
cnf(p1112,plain,
( ~ spl49
| ~ spl21
| e21 != e21 ),
inference(superposition,[status(thm)],[p1108,c16]) ).
cnf(p1120,plain,
( ~ spl49
| ~ spl21
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1117,p1112]) ).
cnf(p1147,plain,
( ~ spl49
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p1120]) ).
cnf(sct64,plain,
( ~ spl49
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p1147]) ).
cnf(p1170,plain,
( ~ spl48
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p953,p115]) ).
cnf(p1176,plain,
( ~ spl48
| ~ spl16
| e21 = e20 ),
inference(superposition,[status(thm)],[p1170,c79]) ).
cnf(p1171,plain,
( ~ spl48
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1170,c16]) ).
cnf(p1178,plain,
( ~ spl48
| ~ spl16
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1176,p1171]) ).
cnf(p1196,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1178]) ).
cnf(sct65,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1196]) ).
cnf(p1198,plain,
( ~ spl49
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p1081,p120]) ).
cnf(p1199,plain,
( ~ spl49
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p1198,c13]) ).
cnf(p1216,plain,
( ~ spl49
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1199]) ).
cnf(sct66,plain,
( ~ spl49
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1216]) ).
cnf(p937,plain,
( ~ spl41
| h(e11) = e23 ),
inference(superposition,[status(thm)],[p145,c158]) ).
cnf(p1033,plain,
( ~ spl46
| ~ spl41
| e24 = e23 ),
inference(superposition,[status(thm)],[p1015,p937]) ).
cnf(p1045,plain,
( ~ spl46
| ~ spl41
| e23 = e20 ),
inference(superposition,[status(thm)],[p1033,c79]) ).
cnf(p1043,plain,
( ~ spl46
| ~ spl41
| e23 != e23 ),
inference(superposition,[status(thm)],[p1033,c19]) ).
cnf(p1048,plain,
( ~ spl46
| ~ spl41
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1045,p1043]) ).
cnf(p1356,plain,
( ~ spl46
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p1048]) ).
cnf(sct67,plain,
( ~ spl46
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p1356]) ).
cnf(p1366,plain,
( ~ spl44
| ~ spl40
| e14 = e10 ),
inference(superposition,[status(thm)],[p148,p144]) ).
cnf(p1372,plain,
( ~ spl44
| ~ spl40
| e10 != e10 ),
inference(superposition,[status(thm)],[p1366,c3]) ).
cnf(p1391,plain,
( ~ spl44
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p1372]) ).
cnf(sct68,plain,
( ~ spl44
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p1391]) ).
cnf(c105,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1104,plain,
( ~ spl3
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p99,c105]) ).
cnf(p1406,plain,
( ~ spl15
| ~ spl3
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p1104]) ).
cnf(p1430,plain,
( ~ spl15
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p1406,c12]) ).
cnf(sct69,plain,
( ~ spl15
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1430]) ).
cnf(p1454,plain,
( ~ spl16
| ~ spl3
| e23 = e21 ),
inference(superposition,[status(thm)],[p1104,p115]) ).
cnf(p1455,plain,
( ~ spl16
| ~ spl3
| e21 != e21 ),
inference(superposition,[status(thm)],[p1454,c15]) ).
cnf(p1467,plain,
( ~ spl16
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1455]) ).
cnf(sct70,plain,
( ~ spl16
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1467]) ).
cnf(p1534,plain,
( ~ spl35
| ~ spl4
| e24 = e22 ),
inference(superposition,[status(thm)],[p100,p660]) ).
cnf(p1577,plain,
( ~ spl35
| ~ spl4
| e22 = e21 ),
inference(superposition,[status(thm)],[p1534,c74]) ).
cnf(p1575,plain,
( ~ spl35
| ~ spl4
| e22 != e22 ),
inference(superposition,[status(thm)],[p1534,c18]) ).
cnf(p1580,plain,
( ~ spl35
| ~ spl4
| e21 != e21 ),
inference(demodulation,[status(thm)],[p1577,p1575]) ).
cnf(p1606,plain,
( ~ spl35
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p1580]) ).
cnf(sct71,plain,
( ~ spl35
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1606]) ).
cnf(p1106,plain,
( ~ spl45
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p1063,c105]) ).
cnf(p1659,plain,
( ~ spl45
| ~ spl15
| e20 = e24 ),
inference(superposition,[status(thm)],[p114,p1106]) ).
cnf(p1690,plain,
( ~ spl45
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p1659,c13]) ).
cnf(sct72,plain,
( ~ spl45
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p1690]) ).
cnf(p1722,plain,
( ~ spl45
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p1106,p115]) ).
cnf(p1728,plain,
( ~ spl45
| ~ spl16
| e21 = e20 ),
inference(superposition,[status(thm)],[p1722,c79]) ).
cnf(p1723,plain,
( ~ spl45
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1722,c16]) ).
cnf(p1730,plain,
( ~ spl45
| ~ spl16
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1728,p1723]) ).
cnf(p1750,plain,
( ~ spl45
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1730]) ).
cnf(sct73,plain,
( ~ spl45
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1750]) ).
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(c130,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1764,plain,
( ~ spl28
| e13 = e10 ),
inference(superposition,[status(thm)],[p129,c130]) ).
cnf(c2,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1768,plain,
( ~ spl28
| e10 != e10 ),
inference(superposition,[status(thm)],[p1764,c2]) ).
cnf(p1798,plain,
( ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p1768]) ).
cnf(sct74,plain,
~ spl28,
inference(avatar_contradiction_clause,[status(thm)],[p1798]) ).
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]) ).
cnf(p1814,plain,
( ~ spl29
| e14 = e11 ),
inference(superposition,[status(thm)],[p130,c130]) ).
cnf(p1819,plain,
( ~ spl29
| e11 != e11 ),
inference(superposition,[status(thm)],[p1814,c6]) ).
cnf(p1840,plain,
( ~ spl29
| $false ),
inference(equality_resolution,[status(thm)],[p1819]) ).
cnf(sct75,plain,
~ spl29,
inference(avatar_contradiction_clause,[status(thm)],[p1840]) ).
cnf(p1883,plain,
( ~ spl27
| ~ spl11
| e20 = e21 ),
inference(superposition,[status(thm)],[p461,p109]) ).
cnf(p1908,plain,
( ~ spl27
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p1883,c10]) ).
cnf(sct76,plain,
( ~ spl27
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p1908]) ).
cnf(p1913,plain,
( ~ spl37
| ~ spl10
| e20 = e22 ),
inference(superposition,[status(thm)],[p108,p621]) ).
cnf(p1954,plain,
( ~ spl37
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1913,c11]) ).
cnf(sct77,plain,
( ~ spl37
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1954]) ).
cnf(p1910,plain,
( ~ spl32
| ~ spl10
| e21 = e20 ),
inference(superposition,[status(thm)],[p542,p108]) ).
cnf(p1925,plain,
( ~ spl32
| ~ spl10
| e20 != e20 ),
inference(superposition,[status(thm)],[p1910,c10]) ).
cnf(p1955,plain,
( ~ spl32
| ~ spl10
| $false ),
inference(equality_resolution,[status(thm)],[p1925]) ).
cnf(sct78,plain,
( ~ spl32
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1955]) ).
cnf(p1960,plain,
( ~ spl43
| ~ spl17
| e23 = e22 ),
inference(superposition,[status(thm)],[p869,p116]) ).
cnf(p1978,plain,
( ~ spl43
| ~ spl17
| e22 = e20 ),
inference(superposition,[status(thm)],[p1960,c83]) ).
cnf(p1974,plain,
( ~ spl43
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p1960,c17]) ).
cnf(p1980,plain,
( ~ spl43
| ~ spl17
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1978,p1974]) ).
cnf(p2012,plain,
( ~ spl43
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p1980]) ).
cnf(sct79,plain,
( ~ spl43
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p2012]) ).
cnf(p1964,plain,
( ~ spl17
| ~ spl3
| e23 = e22 ),
inference(superposition,[status(thm)],[p1104,p116]) ).
cnf(p1988,plain,
( ~ spl17
| ~ spl3
| e22 = e20 ),
inference(superposition,[status(thm)],[p1964,c83]) ).
cnf(p1984,plain,
( ~ spl17
| ~ spl3
| e22 != e22 ),
inference(superposition,[status(thm)],[p1964,c17]) ).
cnf(p1990,plain,
( ~ spl17
| ~ spl3
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1988,p1984]) ).
cnf(p2031,plain,
( ~ spl17
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1990]) ).
cnf(sct80,plain,
( ~ spl17
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2031]) ).
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(c136,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2003,plain,
( ~ spl34
| e14 = e11 ),
inference(superposition,[status(thm)],[p136,c136]) ).
cnf(p2032,plain,
( ~ spl34
| e11 != e11 ),
inference(superposition,[status(thm)],[p2003,c6]) ).
cnf(p2057,plain,
( ~ spl34
| $false ),
inference(equality_resolution,[status(thm)],[p2032]) ).
cnf(sct81,plain,
~ spl34,
inference(avatar_contradiction_clause,[status(thm)],[p2057]) ).
cnf(p2064,plain,
( ~ spl43
| ~ spl16
| e23 = e21 ),
inference(superposition,[status(thm)],[p869,p115]) ).
cnf(p2065,plain,
( ~ spl43
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p2064,c15]) ).
cnf(p2081,plain,
( ~ spl43
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p2065]) ).
cnf(sct82,plain,
( ~ spl43
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2081]) ).
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(p2097,plain,
( ~ spl33
| e13 = e10 ),
inference(superposition,[status(thm)],[p135,c136]) ).
cnf(p2105,plain,
( ~ spl33
| e10 != e10 ),
inference(superposition,[status(thm)],[p2097,c2]) ).
cnf(p2132,plain,
( ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p2105]) ).
cnf(sct83,plain,
~ spl33,
inference(avatar_contradiction_clause,[status(thm)],[p2132]) ).
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(c142,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2211,plain,
( ~ spl36
| e11 = e14 ),
inference(superposition,[status(thm)],[p139,c142]) ).
cnf(p2251,plain,
( ~ spl36
| $false ),
inference(resolution,[status(thm)],[p2211,c6]) ).
cnf(sct84,plain,
~ spl36,
inference(avatar_contradiction_clause,[status(thm)],[p2251]) ).
cnf(p2256,plain,
( ~ spl48
| ~ spl18
| e24 = e23 ),
inference(superposition,[status(thm)],[p953,p117]) ).
cnf(p2269,plain,
( ~ spl48
| ~ spl18
| e23 = e20 ),
inference(superposition,[status(thm)],[p2256,c79]) ).
cnf(p2266,plain,
( ~ spl48
| ~ spl18
| e23 != e23 ),
inference(superposition,[status(thm)],[p2256,c19]) ).
cnf(p2271,plain,
( ~ spl48
| ~ spl18
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2269,p2266]) ).
cnf(p2295,plain,
( ~ spl48
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2271]) ).
cnf(sct85,plain,
( ~ spl48
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2295]) ).
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(p2309,plain,
( ~ spl31
| e11 = e14 ),
inference(superposition,[status(thm)],[p133,c136]) ).
cnf(p2317,plain,
( ~ spl31
| $false ),
inference(resolution,[status(thm)],[p2309,c6]) ).
cnf(sct86,plain,
~ spl31,
inference(avatar_contradiction_clause,[status(thm)],[p2317]) ).
cnf(p2333,plain,
( ~ spl45
| ~ spl0
| e20 = e24 ),
inference(superposition,[status(thm)],[p96,p1063]) ).
cnf(p2426,plain,
( ~ spl45
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2333,c13]) ).
cnf(sct87,plain,
( ~ spl45
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2426]) ).
cnf(p2431,plain,
( ~ spl35
| ~ spl1
| e22 = e21 ),
inference(superposition,[status(thm)],[p660,p97]) ).
cnf(c92,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p2481,plain,
( ~ spl35
| ~ spl1
| e21 = e20 ),
inference(superposition,[status(thm)],[p2431,c92]) ).
cnf(p2471,plain,
( ~ spl35
| ~ spl1
| e21 != e21 ),
inference(superposition,[status(thm)],[p2431,c14]) ).
cnf(p2483,plain,
( ~ spl35
| ~ spl1
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2481,p2471]) ).
cnf(p2528,plain,
( ~ spl35
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2483]) ).
cnf(sct88,plain,
( ~ spl35
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2528]) ).
cnf(p2547,plain,
( ~ spl48
| ~ spl17
| e24 = e22 ),
inference(superposition,[status(thm)],[p953,p116]) ).
cnf(p2553,plain,
( ~ spl48
| ~ spl17
| e22 = e21 ),
inference(superposition,[status(thm)],[p2547,c74]) ).
cnf(p2550,plain,
( ~ spl48
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p2547,c18]) ).
cnf(p2555,plain,
( ~ spl48
| ~ spl17
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2553,p2550]) ).
cnf(p2575,plain,
( ~ spl48
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p2555]) ).
cnf(sct89,plain,
( ~ spl48
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p2575]) ).
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(p2581,plain,
( ~ spl26
| e11 = e14 ),
inference(superposition,[status(thm)],[p127,c130]) ).
cnf(p2589,plain,
( ~ spl26
| $false ),
inference(resolution,[status(thm)],[p2581,c6]) ).
cnf(sct90,plain,
~ spl26,
inference(avatar_contradiction_clause,[status(thm)],[p2589]) ).
cnf(p987,plain,
( ~ spl47
| ~ spl37
| e24 = e22 ),
inference(superposition,[status(thm)],[p971,p621]) ).
cnf(p1000,plain,
( ~ spl47
| ~ spl37
| e22 = e21 ),
inference(superposition,[status(thm)],[p987,c74]) ).
cnf(p998,plain,
( ~ spl47
| ~ spl37
| e22 != e22 ),
inference(superposition,[status(thm)],[p987,c18]) ).
cnf(p1003,plain,
( ~ spl47
| ~ spl37
| e21 != e21 ),
inference(demodulation,[status(thm)],[p1000,p998]) ).
cnf(p2624,plain,
( ~ spl47
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p1003]) ).
cnf(sct91,plain,
( ~ spl47
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2624]) ).
cnf(p2321,plain,
( ~ spl35
| ~ spl0
| e22 = e20 ),
inference(superposition,[status(thm)],[p660,p96]) ).
cnf(p2364,plain,
( ~ spl35
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p2321,c11]) ).
cnf(p2646,plain,
( ~ spl35
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p2364]) ).
cnf(sct92,plain,
( ~ spl35
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2646]) ).
cnf(p1225,plain,
( ~ spl49
| ~ spl23
| e24 = e23 ),
inference(superposition,[status(thm)],[p1081,p123]) ).
cnf(p2650,plain,
( ~ spl49
| ~ spl23
| e23 = e20 ),
inference(superposition,[status(thm)],[p1225,c79]) ).
cnf(p2647,plain,
( ~ spl49
| ~ spl23
| e23 != e23 ),
inference(superposition,[status(thm)],[p1225,c19]) ).
cnf(p2652,plain,
( ~ spl49
| ~ spl23
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2650,p2647]) ).
cnf(p2716,plain,
( ~ spl49
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2652]) ).
cnf(sct93,plain,
( ~ spl49
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2716]) ).
cnf(p1885,plain,
( ~ spl37
| ~ spl11
| e22 = e21 ),
inference(superposition,[status(thm)],[p621,p109]) ).
cnf(p2667,plain,
( ~ spl37
| ~ spl11
| e21 = e20 ),
inference(superposition,[status(thm)],[p1885,c92]) ).
cnf(p2657,plain,
( ~ spl37
| ~ spl11
| e21 != e21 ),
inference(superposition,[status(thm)],[p1885,c14]) ).
cnf(p2670,plain,
( ~ spl37
| ~ spl11
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2667,p2657]) ).
cnf(p2760,plain,
( ~ spl37
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p2670]) ).
cnf(sct94,plain,
( ~ spl37
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2760]) ).
cnf(p2763,plain,
( ~ spl42
| ~ spl11
| e23 = e21 ),
inference(superposition,[status(thm)],[p885,p109]) ).
cnf(p2766,plain,
( ~ spl42
| ~ spl11
| e21 != e21 ),
inference(superposition,[status(thm)],[p2763,c15]) ).
cnf(p2817,plain,
( ~ spl42
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p2766]) ).
cnf(sct95,plain,
( ~ spl42
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2817]) ).
cnf(p2765,plain,
( ~ spl47
| ~ spl11
| e24 = e21 ),
inference(superposition,[status(thm)],[p971,p109]) ).
cnf(p2810,plain,
( ~ spl47
| ~ spl11
| e21 = e20 ),
inference(superposition,[status(thm)],[p2765,c79]) ).
cnf(p2805,plain,
( ~ spl47
| ~ spl11
| e21 != e21 ),
inference(superposition,[status(thm)],[p2765,c16]) ).
cnf(p2812,plain,
( ~ spl47
| ~ spl11
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2810,p2805]) ).
cnf(p2838,plain,
( ~ spl47
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p2812]) ).
cnf(sct96,plain,
( ~ spl47
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2838]) ).
cnf(p273,plain,
( ~ spl9
| ~ spl7
| e24 = e22 ),
inference(superposition,[status(thm)],[p106,p104]) ).
cnf(p2842,plain,
( ~ spl9
| ~ spl7
| e22 = e21 ),
inference(superposition,[status(thm)],[p273,c74]) ).
cnf(p2839,plain,
( ~ spl9
| ~ spl7
| e22 != e22 ),
inference(superposition,[status(thm)],[p273,c18]) ).
cnf(p2845,plain,
( ~ spl9
| ~ spl7
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2842,p2839]) ).
cnf(p2867,plain,
( ~ spl9
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p2845]) ).
cnf(sct97,plain,
( ~ spl9
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p2867]) ).
cnf(p2869,plain,
( ~ spl46
| ~ spl7
| e24 = e22 ),
inference(superposition,[status(thm)],[p1015,p104]) ).
cnf(p2873,plain,
( ~ spl46
| ~ spl7
| e22 = e21 ),
inference(superposition,[status(thm)],[p2869,c74]) ).
cnf(p2871,plain,
( ~ spl46
| ~ spl7
| e22 != e22 ),
inference(superposition,[status(thm)],[p2869,c18]) ).
cnf(p2876,plain,
( ~ spl46
| ~ spl7
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2873,p2871]) ).
cnf(p2898,plain,
( ~ spl46
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p2876]) ).
cnf(sct98,plain,
( ~ spl46
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p2898]) ).
cnf(p271,plain,
( ~ spl9
| ~ spl6
| e24 = e21 ),
inference(superposition,[status(thm)],[p106,p103]) ).
cnf(p2904,plain,
( ~ spl9
| ~ spl6
| e21 = e20 ),
inference(superposition,[status(thm)],[p271,c79]) ).
cnf(p2899,plain,
( ~ spl9
| ~ spl6
| e21 != e21 ),
inference(superposition,[status(thm)],[p271,c16]) ).
cnf(p2909,plain,
( ~ spl9
| ~ spl6
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2904,p2899]) ).
cnf(p2933,plain,
( ~ spl9
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p2909]) ).
cnf(sct99,plain,
( ~ spl9
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2933]) ).
cnf(p2935,plain,
( ~ spl46
| ~ spl6
| e24 = e21 ),
inference(superposition,[status(thm)],[p1015,p103]) ).
cnf(p2942,plain,
( ~ spl46
| ~ spl6
| e21 = e20 ),
inference(superposition,[status(thm)],[p2935,c79]) ).
cnf(p2938,plain,
( ~ spl46
| ~ spl6
| e21 != e21 ),
inference(superposition,[status(thm)],[p2935,c16]) ).
cnf(p2945,plain,
( ~ spl46
| ~ spl6
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2942,p2938]) ).
cnf(p2971,plain,
( ~ spl46
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p2945]) ).
cnf(sct100,plain,
( ~ spl46
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2971]) ).
cnf(p2976,plain,
( ~ spl9
| ~ spl5
| e20 = e24 ),
inference(superposition,[status(thm)],[p102,p106]) ).
cnf(p3061,plain,
( ~ spl9
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p2976,c13]) ).
cnf(sct101,plain,
( ~ spl9
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p3061]) ).
cnf(p2977,plain,
( ~ spl46
| ~ spl5
| e20 = e24 ),
inference(superposition,[status(thm)],[p102,p1015]) ).
cnf(p3062,plain,
( ~ spl46
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p2977,c13]) ).
cnf(sct102,plain,
( ~ spl46
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p3062]) ).
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(p3053,plain,
( ~ spl25
| e10 = e13 ),
inference(superposition,[status(thm)],[p126,c130]) ).
cnf(p3063,plain,
( ~ spl25
| $false ),
inference(resolution,[status(thm)],[p3053,c2]) ).
cnf(sct103,plain,
~ spl25,
inference(avatar_contradiction_clause,[status(thm)],[p3063]) ).
cnf(p2433,plain,
( ~ spl45
| ~ spl1
| e24 = e21 ),
inference(superposition,[status(thm)],[p1063,p97]) ).
cnf(p3070,plain,
( ~ spl45
| ~ spl1
| e21 = e20 ),
inference(superposition,[status(thm)],[p2433,c79]) ).
cnf(p3064,plain,
( ~ spl45
| ~ spl1
| e21 != e21 ),
inference(superposition,[status(thm)],[p2433,c16]) ).
cnf(p3073,plain,
( ~ spl45
| ~ spl1
| e20 != e20 ),
inference(demodulation,[status(thm)],[p3070,p3064]) ).
cnf(p3101,plain,
( ~ spl45
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3073]) ).
cnf(sct104,plain,
( ~ spl45
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3101]) ).
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]) ).
cnf(p3106,plain,
( ~ spl30
| e10 = e13 ),
inference(superposition,[status(thm)],[p132,c136]) ).
cnf(p3111,plain,
( ~ spl30
| $false ),
inference(resolution,[status(thm)],[p3106,c2]) ).
cnf(sct105,plain,
~ spl30,
inference(avatar_contradiction_clause,[status(thm)],[p3111]) ).
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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG182+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/7.45 % Computer : n019.cluster.edu
% 0.09/7.45 % Model : x86_64 x86_64
% 0.09/7.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/7.45 % Memory : 8046.5625MB
% 0.09/7.45 % OS : Linux 6.8.0-71-generic
% 0.09/7.45 % CPULimit : 300
% 0.09/7.45 % WCLimit : 300
% 0.09/7.45 % DateTime : Fri Sep 25 04:59:58 UTC 2026
% 0.09/7.46 % CPUTime :
% 0.09/7.46 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.18/10.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.18/10.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------