%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG184+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 : n009.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 12:51:50 PM UTC 2026
% Result : Theorem 23.10s 3.46s
% Output : Proof 23.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 566 ( 45 unt; 50 def)
% Number of atoms : 2026 (1041 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2401 ( 941 ~; 936 |; 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(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]) ).
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(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(c4,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
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(c7,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
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(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(p416,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p413,c0]) ).
cnf(sct23,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p416]) ).
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]) ).
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(c9,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p431,plain,
( ~ spl44
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p428,c9]) ).
cnf(sct24,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(sct25,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p436]) ).
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]) ).
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(sct26,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p451]) ).
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]) ).
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(p475,plain,
( ~ spl26
| h(e11) = e20 ),
inference(superposition,[status(thm)],[p127,c155]) ).
cnf(p482,plain,
( ~ spl26
| ~ spl8
| e23 = e20 ),
inference(superposition,[status(thm)],[p105,p475]) ).
cnf(c12,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p483,plain,
( ~ spl26
| ~ spl8
| e20 != e20 ),
inference(superposition,[status(thm)],[p482,c12]) ).
cnf(p487,plain,
( ~ spl26
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p483]) ).
cnf(sct27,plain,
( ~ spl26
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p487]) ).
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(sct28,plain,
( ~ spl19
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p531]) ).
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(c156,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p556,plain,
( ~ spl31
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p133,c156]) ).
cnf(p564,plain,
( ~ spl31
| ~ spl8
| e23 = e21 ),
inference(superposition,[status(thm)],[p105,p556]) ).
cnf(c15,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p565,plain,
( ~ spl31
| ~ spl8
| e21 != e21 ),
inference(superposition,[status(thm)],[p564,c15]) ).
cnf(p568,plain,
( ~ spl31
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p565]) ).
cnf(sct29,plain,
( ~ spl31
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p568]) ).
cnf(p603,plain,
( ~ spl24
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p124,p121]) ).
cnf(c16,plain,
e21 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p604,plain,
( ~ spl24
| ~ spl21
| e21 != e21 ),
inference(superposition,[status(thm)],[p603,c16]) ).
cnf(p608,plain,
( ~ spl24
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p604]) ).
cnf(sct30,plain,
( ~ spl24
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p608]) ).
cnf(c157,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p609,plain,
( ~ spl38
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p141,c157]) ).
cnf(p611,plain,
( ~ spl38
| ~ spl15
| e20 = e22 ),
inference(superposition,[status(thm)],[p114,p609]) ).
cnf(c11,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p617,plain,
( ~ spl38
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p611,c11]) ).
cnf(sct31,plain,
( ~ spl38
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p617]) ).
cnf(p620,plain,
( ~ spl37
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p140,c157]) ).
cnf(p630,plain,
( ~ spl37
| ~ spl13
| e23 = e22 ),
inference(superposition,[status(thm)],[p111,p620]) ).
cnf(p631,plain,
( ~ spl37
| ~ spl13
| e22 != e22 ),
inference(superposition,[status(thm)],[p630,c17]) ).
cnf(p633,plain,
( ~ spl37
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p631]) ).
cnf(sct32,plain,
( ~ spl37
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p633]) ).
cnf(p636,plain,
( ~ spl36
| h(e11) = e22 ),
inference(superposition,[status(thm)],[p139,c157]) ).
cnf(p646,plain,
( ~ spl36
| ~ spl8
| e23 = e22 ),
inference(superposition,[status(thm)],[p105,p636]) ).
cnf(p647,plain,
( ~ spl36
| ~ spl8
| e22 != e22 ),
inference(superposition,[status(thm)],[p646,c17]) ).
cnf(p649,plain,
( ~ spl36
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p647]) ).
cnf(sct33,plain,
( ~ spl36
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p649]) ).
cnf(p652,plain,
( ~ spl35
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p138,c157]) ).
cnf(p663,plain,
( ~ spl35
| ~ spl3
| e23 = e22 ),
inference(superposition,[status(thm)],[p99,p652]) ).
cnf(p664,plain,
( ~ spl35
| ~ spl3
| e22 != e22 ),
inference(superposition,[status(thm)],[p663,c17]) ).
cnf(p666,plain,
( ~ spl35
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p664]) ).
cnf(sct34,plain,
( ~ spl35
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p666]) ).
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(p689,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p508]) ).
cnf(sct35,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p689]) ).
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(p694,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p518]) ).
cnf(sct36,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p694]) ).
cnf(p696,plain,
( ~ spl38
| ~ spl16
| e22 = e21 ),
inference(superposition,[status(thm)],[p609,p115]) ).
cnf(p697,plain,
( ~ spl38
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p696,c14]) ).
cnf(p699,plain,
( ~ spl38
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p697]) ).
cnf(sct37,plain,
( ~ spl38
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p699]) ).
cnf(p701,plain,
( ~ spl24
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p124,p120]) ).
cnf(p704,plain,
( ~ spl24
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p701,c13]) ).
cnf(p712,plain,
( ~ spl24
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p704]) ).
cnf(sct38,plain,
( ~ spl24
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p712]) ).
cnf(p593,plain,
( ~ spl24
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p124,p122]) ).
cnf(p596,plain,
( ~ spl24
| ~ spl22
| e22 != e22 ),
inference(superposition,[status(thm)],[p593,c18]) ).
cnf(p719,plain,
( ~ spl24
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p596]) ).
cnf(sct39,plain,
( ~ spl24
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p719]) ).
cnf(p685,plain,
( ~ spl38
| ~ spl18
| e22 = e23 ),
inference(superposition,[status(thm)],[p609,p117]) ).
cnf(p746,plain,
( ~ spl38
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p685,c17]) ).
cnf(sct40,plain,
( ~ spl38
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p746]) ).
cnf(p779,plain,
( ~ spl37
| ~ spl14
| e24 = e22 ),
inference(superposition,[status(thm)],[p112,p620]) ).
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(c74,plain,
op2(e20,e24) = e21,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p802,plain,
( ~ spl37
| ~ spl14
| e22 = e21 ),
inference(superposition,[status(thm)],[p779,c74]) ).
cnf(p803,plain,
( ~ spl37
| ~ spl14
| e24 = e21 ),
inference(demodulation,[status(thm)],[p802,p779]) ).
cnf(c79,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p821,plain,
( ~ spl37
| ~ spl14
| e21 = e20 ),
inference(superposition,[status(thm)],[p803,c79]) ).
cnf(p799,plain,
( ~ spl37
| ~ spl14
| e22 != e22 ),
inference(superposition,[status(thm)],[p779,c18]) ).
cnf(p805,plain,
( ~ spl37
| ~ spl14
| e21 != e21 ),
inference(demodulation,[status(thm)],[p802,p799]) ).
cnf(p825,plain,
( ~ spl37
| ~ spl14
| e20 != e20 ),
inference(demodulation,[status(thm)],[p821,p805]) ).
cnf(p838,plain,
( ~ spl37
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p825]) ).
cnf(sct41,plain,
( ~ spl37
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p838]) ).
cnf(c158,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p860,plain,
( ~ spl43
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p147,c158]) ).
cnf(p862,plain,
( ~ spl43
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p860]) ).
cnf(p873,plain,
( ~ spl43
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p862,c12]) ).
cnf(sct42,plain,
( ~ spl43
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p873]) ).
cnf(p947,plain,
( ~ spl44
| ~ spl41
| e14 = e11 ),
inference(superposition,[status(thm)],[p148,p145]) ).
fof(f3,axiom,
( op1(e14,e14) = e10
& op1(e14,e13) = e14
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e12
& op1(e13,e14) = e11
& op1(e13,e13) = e12
& op1(e13,e12) = e14
& op1(e13,e11) = e10
& op1(e13,e10) = e13
& op1(e12,e14) = e12
& op1(e12,e13) = e10
& op1(e12,e12) = e13
& op1(e12,e11) = e14
& op1(e12,e10) = e11
& op1(e11,e14) = e14
& op1(e11,e13) = e13
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e14) = e13
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3_nnf,plain,
( op1(e14,e14) = e10
& op1(e14,e13) = e14
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e12
& op1(e13,e14) = e11
& op1(e13,e13) = e12
& op1(e13,e12) = e14
& op1(e13,e11) = e10
& op1(e13,e10) = e13
& op1(e12,e14) = e12
& op1(e12,e13) = e10
& op1(e12,e12) = e13
& op1(e12,e11) = e14
& op1(e12,e10) = e11
& op1(e11,e14) = e14
& op1(e11,e13) = e13
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e14) = e13
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e14 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( op1(e14,e14) = e10
& op1(e14,e13) = e14
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e12
& op1(e13,e14) = e11
& op1(e13,e13) = e12
& op1(e13,e12) = e14
& op1(e13,e11) = e10
& op1(e13,e10) = e13
& op1(e12,e14) = e12
& op1(e12,e13) = e10
& op1(e12,e12) = e13
& op1(e12,e11) = e14
& op1(e12,e10) = e11
& op1(e11,e14) = e14
& op1(e11,e13) = e13
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e14) = e13
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e14 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c69,plain,
op1(e14,e14) = e10,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p961,plain,
( ~ spl44
| ~ spl41
| e11 = e10 ),
inference(superposition,[status(thm)],[p947,c69]) ).
cnf(c6,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p949,plain,
( ~ spl44
| ~ spl41
| e11 != e11 ),
inference(superposition,[status(thm)],[p947,c6]) ).
cnf(p963,plain,
( ~ spl44
| ~ spl41
| e10 != e10 ),
inference(demodulation,[status(thm)],[p961,p949]) ).
cnf(p976,plain,
( ~ spl44
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p963]) ).
cnf(sct43,plain,
( ~ spl44
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p976]) ).
cnf(c159,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p977,plain,
( ~ spl48
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p153,c159]) ).
cnf(p979,plain,
( ~ spl48
| ~ spl15
| e20 = e24 ),
inference(superposition,[status(thm)],[p114,p977]) ).
cnf(p995,plain,
( ~ spl48
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p979,c13]) ).
cnf(sct44,plain,
( ~ spl48
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p995]) ).
cnf(p1062,plain,
( ~ spl49
| ~ spl46
| e14 = e11 ),
inference(superposition,[status(thm)],[p154,p151]) ).
cnf(p1076,plain,
( ~ spl49
| ~ spl46
| e11 = e10 ),
inference(superposition,[status(thm)],[p1062,c69]) ).
cnf(p1064,plain,
( ~ spl49
| ~ spl46
| e11 != e11 ),
inference(superposition,[status(thm)],[p1062,c6]) ).
cnf(p1078,plain,
( ~ spl49
| ~ spl46
| e10 != e10 ),
inference(demodulation,[status(thm)],[p1076,p1064]) ).
cnf(p1093,plain,
( ~ spl49
| ~ spl46
| $false ),
inference(equality_resolution,[status(thm)],[p1078]) ).
cnf(sct45,plain,
( ~ spl49
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p1093]) ).
cnf(p1063,plain,
( ~ spl46
| h(e11) = e24 ),
inference(superposition,[status(thm)],[p151,c159]) ).
cnf(p1094,plain,
( ~ spl46
| ~ spl8
| e24 = e23 ),
inference(superposition,[status(thm)],[p1063,p105]) ).
cnf(p1101,plain,
( ~ spl46
| ~ spl8
| e23 = e20 ),
inference(superposition,[status(thm)],[p1094,c79]) ).
cnf(p1098,plain,
( ~ spl46
| ~ spl8
| e23 != e23 ),
inference(superposition,[status(thm)],[p1094,c19]) ).
cnf(p1104,plain,
( ~ spl46
| ~ spl8
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1101,p1098]) ).
cnf(p1125,plain,
( ~ spl46
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p1104]) ).
cnf(sct46,plain,
( ~ spl46
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1125]) ).
cnf(p1129,plain,
( ~ spl49
| ~ spl45
| e10 = e14 ),
inference(superposition,[status(thm)],[p150,p154]) ).
cnf(c3,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p1150,plain,
( ~ spl49
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p1129,c3]) ).
cnf(sct47,plain,
( ~ spl49
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p1150]) ).
cnf(c105,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1112,plain,
( ~ spl3
| h(e14) = e23 ),
inference(superposition,[status(thm)],[p99,c105]) ).
cnf(p1152,plain,
( ~ spl21
| ~ spl3
| e21 = e23 ),
inference(superposition,[status(thm)],[p121,p1112]) ).
cnf(p1167,plain,
( ~ spl21
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p1152,c15]) ).
cnf(sct48,plain,
( ~ spl21
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1167]) ).
cnf(p1173,plain,
( ~ spl20
| ~ spl3
| e23 = e20 ),
inference(superposition,[status(thm)],[p1112,p120]) ).
cnf(p1174,plain,
( ~ spl20
| ~ spl3
| e20 != e20 ),
inference(superposition,[status(thm)],[p1173,c12]) ).
cnf(p1188,plain,
( ~ spl20
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1174]) ).
cnf(sct49,plain,
( ~ spl20
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1188]) ).
cnf(p1234,plain,
( ~ spl26
| ~ spl9
| e20 = e24 ),
inference(superposition,[status(thm)],[p475,p106]) ).
cnf(p1257,plain,
( ~ spl26
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1234,c13]) ).
cnf(sct50,plain,
( ~ spl26
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1257]) ).
cnf(p1235,plain,
( ~ spl31
| ~ spl9
| e24 = e21 ),
inference(superposition,[status(thm)],[p106,p556]) ).
cnf(p1268,plain,
( ~ spl31
| ~ spl9
| e21 = e20 ),
inference(superposition,[status(thm)],[p1235,c79]) ).
cnf(p1263,plain,
( ~ spl31
| ~ spl9
| e21 != e21 ),
inference(superposition,[status(thm)],[p1235,c16]) ).
cnf(p1271,plain,
( ~ spl31
| ~ spl9
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1268,p1263]) ).
cnf(p1294,plain,
( ~ spl31
| ~ spl9
| $false ),
inference(equality_resolution,[status(thm)],[p1271]) ).
cnf(sct51,plain,
( ~ spl31
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1294]) ).
cnf(p1296,plain,
( ~ spl26
| ~ spl7
| e20 = e22 ),
inference(superposition,[status(thm)],[p475,p104]) ).
cnf(p1312,plain,
( ~ spl26
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p1296,c11]) ).
cnf(sct52,plain,
( ~ spl26
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p1312]) ).
cnf(p1297,plain,
( ~ spl31
| ~ spl7
| e22 = e21 ),
inference(superposition,[status(thm)],[p104,p556]) ).
cnf(c92,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1329,plain,
( ~ spl31
| ~ spl7
| e21 = e20 ),
inference(superposition,[status(thm)],[p1297,c92]) ).
cnf(p1320,plain,
( ~ spl31
| ~ spl7
| e21 != e21 ),
inference(superposition,[status(thm)],[p1297,c14]) ).
cnf(p1332,plain,
( ~ spl31
| ~ spl7
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1329,p1320]) ).
cnf(p1351,plain,
( ~ spl31
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p1332]) ).
cnf(sct53,plain,
( ~ spl31
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p1351]) ).
cnf(p1360,plain,
( ~ spl35
| ~ spl4
| e24 = e22 ),
inference(superposition,[status(thm)],[p100,p652]) ).
cnf(p1400,plain,
( ~ spl35
| ~ spl4
| e22 = e21 ),
inference(superposition,[status(thm)],[p1360,c74]) ).
cnf(p1398,plain,
( ~ spl35
| ~ spl4
| e22 != e22 ),
inference(superposition,[status(thm)],[p1360,c18]) ).
cnf(p1403,plain,
( ~ spl35
| ~ spl4
| e21 != e21 ),
inference(demodulation,[status(thm)],[p1400,p1398]) ).
cnf(p1429,plain,
( ~ spl35
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p1403]) ).
cnf(sct54,plain,
( ~ spl35
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1429]) ).
cnf(p1362,plain,
( ~ spl4
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p100,c105]) ).
cnf(p1468,plain,
( ~ spl21
| ~ spl4
| e24 = e21 ),
inference(superposition,[status(thm)],[p1362,p121]) ).
cnf(p1486,plain,
( ~ spl21
| ~ spl4
| e21 = e20 ),
inference(superposition,[status(thm)],[p1468,c79]) ).
cnf(p1481,plain,
( ~ spl21
| ~ spl4
| e21 != e21 ),
inference(superposition,[status(thm)],[p1468,c16]) ).
cnf(p1489,plain,
( ~ spl21
| ~ spl4
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1486,p1481]) ).
cnf(p1514,plain,
( ~ spl21
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p1489]) ).
cnf(sct55,plain,
( ~ spl21
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1514]) ).
cnf(p1525,plain,
( ~ spl20
| ~ spl4
| e24 = e20 ),
inference(superposition,[status(thm)],[p1362,p120]) ).
cnf(p1527,plain,
( ~ spl20
| ~ spl4
| e20 != e20 ),
inference(superposition,[status(thm)],[p1525,c13]) ).
cnf(p1544,plain,
( ~ spl20
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p1527]) ).
cnf(sct56,plain,
( ~ spl20
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1544]) ).
cnf(p1128,plain,
( ~ spl45
| h(e10) = e24 ),
inference(superposition,[status(thm)],[p150,c159]) ).
cnf(p1561,plain,
( ~ spl45
| ~ spl2
| e24 = e22 ),
inference(superposition,[status(thm)],[p1128,p98]) ).
cnf(p1597,plain,
( ~ spl45
| ~ spl2
| e22 = e21 ),
inference(superposition,[status(thm)],[p1561,c74]) ).
cnf(p1594,plain,
( ~ spl45
| ~ spl2
| e22 != e22 ),
inference(superposition,[status(thm)],[p1561,c18]) ).
cnf(p1599,plain,
( ~ spl45
| ~ spl2
| e21 != e21 ),
inference(demodulation,[status(thm)],[p1597,p1594]) ).
cnf(p1635,plain,
( ~ spl45
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1599]) ).
cnf(sct57,plain,
( ~ spl45
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p1635]) ).
cnf(p1092,plain,
( ~ spl49
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p154,c159]) ).
cnf(p1707,plain,
( ~ spl49
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p1092,p121]) ).
cnf(p1723,plain,
( ~ spl49
| ~ spl21
| e21 = e20 ),
inference(superposition,[status(thm)],[p1707,c79]) ).
cnf(p1718,plain,
( ~ spl49
| ~ spl21
| e21 != e21 ),
inference(superposition,[status(thm)],[p1707,c16]) ).
cnf(p1726,plain,
( ~ spl49
| ~ spl21
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1723,p1718]) ).
cnf(p1755,plain,
( ~ spl49
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p1726]) ).
cnf(sct58,plain,
( ~ spl49
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p1755]) ).
cnf(p1795,plain,
( ~ spl43
| ~ spl16
| e23 = e21 ),
inference(superposition,[status(thm)],[p860,p115]) ).
cnf(p1805,plain,
( ~ spl43
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1795,c15]) ).
cnf(p1833,plain,
( ~ spl43
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1805]) ).
cnf(sct59,plain,
( ~ spl43
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1833]) ).
cnf(p1797,plain,
( ~ spl48
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p977,p115]) ).
cnf(p1827,plain,
( ~ spl48
| ~ spl16
| e21 = e20 ),
inference(superposition,[status(thm)],[p1797,c79]) ).
cnf(p1822,plain,
( ~ spl48
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1797,c16]) ).
cnf(p1829,plain,
( ~ spl48
| ~ spl16
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1827,p1822]) ).
cnf(p1870,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1829]) ).
cnf(sct60,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1870]) ).
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(c130,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1817,plain,
( ~ spl29
| e14 = e10 ),
inference(superposition,[status(thm)],[p130,c130]) ).
cnf(p1834,plain,
( ~ spl29
| e10 != e10 ),
inference(superposition,[status(thm)],[p1817,c3]) ).
cnf(p1871,plain,
( ~ spl29
| $false ),
inference(equality_resolution,[status(thm)],[p1834]) ).
cnf(sct61,plain,
~ spl29,
inference(avatar_contradiction_clause,[status(thm)],[p1871]) ).
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(p1911,plain,
( ~ spl28
| e13 = e12 ),
inference(superposition,[status(thm)],[p129,c130]) ).
cnf(c48,plain,
op1(e10,e13) = e11,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1917,plain,
( ~ spl28
| e10 = e11 ),
inference(superposition,[status(thm)],[p1911,c48]) ).
cnf(p1927,plain,
( ~ spl28
| $false ),
inference(resolution,[status(thm)],[p1917,c0]) ).
cnf(sct62,plain,
~ spl28,
inference(avatar_contradiction_clause,[status(thm)],[p1927]) ).
cnf(p1931,plain,
( ~ spl45
| ~ spl3
| e24 = e23 ),
inference(superposition,[status(thm)],[p1128,p99]) ).
cnf(p1942,plain,
( ~ spl45
| ~ spl3
| e23 = e20 ),
inference(superposition,[status(thm)],[p1931,c79]) ).
cnf(p1939,plain,
( ~ spl45
| ~ spl3
| e23 != e23 ),
inference(superposition,[status(thm)],[p1931,c19]) ).
cnf(p1944,plain,
( ~ spl45
| ~ spl3
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1942,p1939]) ).
cnf(p1958,plain,
( ~ spl45
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1944]) ).
cnf(sct63,plain,
( ~ spl45
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1958]) ).
cnf(p1996,plain,
( ~ spl37
| ~ spl10
| e20 = e22 ),
inference(superposition,[status(thm)],[p108,p620]) ).
cnf(p2044,plain,
( ~ spl37
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1996,c11]) ).
cnf(sct64,plain,
( ~ spl37
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2044]) ).
cnf(p2052,plain,
( ~ spl22
| ~ spl3
| e23 = e22 ),
inference(superposition,[status(thm)],[p1112,p122]) ).
cnf(c83,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p2068,plain,
( ~ spl22
| ~ spl3
| e22 = e20 ),
inference(superposition,[status(thm)],[p2052,c83]) ).
cnf(p2064,plain,
( ~ spl22
| ~ spl3
| e22 != e22 ),
inference(superposition,[status(thm)],[p2052,c17]) ).
cnf(p2070,plain,
( ~ spl22
| ~ spl3
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2068,p2064]) ).
cnf(p2094,plain,
( ~ spl22
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2070]) ).
cnf(sct65,plain,
( ~ spl22
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2094]) ).
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(p2123,plain,
( ~ spl27
| e12 = e13 ),
inference(superposition,[status(thm)],[p128,c130]) ).
cnf(p2127,plain,
( ~ spl27
| $false ),
inference(resolution,[status(thm)],[p2123,c7]) ).
cnf(sct66,plain,
~ spl27,
inference(avatar_contradiction_clause,[status(thm)],[p2127]) ).
cnf(p2143,plain,
( ~ spl35
| ~ spl0
| e20 = e22 ),
inference(superposition,[status(thm)],[p96,p652]) ).
cnf(p2214,plain,
( ~ spl35
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2143,c11]) ).
cnf(sct67,plain,
( ~ spl35
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2214]) ).
cnf(p2140,plain,
( ~ spl45
| ~ spl0
| e24 = e20 ),
inference(superposition,[status(thm)],[p1128,p96]) ).
cnf(p2193,plain,
( ~ spl45
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p2140,c13]) ).
cnf(p2221,plain,
( ~ spl45
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p2193]) ).
cnf(sct68,plain,
( ~ spl45
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2221]) ).
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(c142,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2222,plain,
( ~ spl39
| e14 = e10 ),
inference(superposition,[status(thm)],[p142,c142]) ).
cnf(p2228,plain,
( ~ spl39
| e10 != e10 ),
inference(superposition,[status(thm)],[p2222,c3]) ).
cnf(p2251,plain,
( ~ spl39
| $false ),
inference(equality_resolution,[status(thm)],[p2228]) ).
cnf(sct69,plain,
~ spl39,
inference(avatar_contradiction_clause,[status(thm)],[p2251]) ).
cnf(p2262,plain,
( ~ spl49
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p1092,p120]) ).
cnf(p2267,plain,
( ~ spl49
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p2262,c13]) ).
cnf(p2288,plain,
( ~ spl49
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p2267]) ).
cnf(sct70,plain,
( ~ spl49
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p2288]) ).
cnf(p2292,plain,
( ~ spl49
| ~ spl23
| e24 = e23 ),
inference(superposition,[status(thm)],[p1092,p123]) ).
cnf(p2299,plain,
( ~ spl49
| ~ spl23
| e23 = e20 ),
inference(superposition,[status(thm)],[p2292,c79]) ).
cnf(p2296,plain,
( ~ spl49
| ~ spl23
| e23 != e23 ),
inference(superposition,[status(thm)],[p2292,c19]) ).
cnf(p2301,plain,
( ~ spl49
| ~ spl23
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2299,p2296]) ).
cnf(p2322,plain,
( ~ spl49
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2301]) ).
cnf(sct71,plain,
( ~ spl49
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2322]) ).
cnf(p2326,plain,
( ~ spl49
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p1092,p122]) ).
cnf(p2333,plain,
( ~ spl49
| ~ spl22
| e22 = e21 ),
inference(superposition,[status(thm)],[p2326,c74]) ).
cnf(p2330,plain,
( ~ spl49
| ~ spl22
| e22 != e22 ),
inference(superposition,[status(thm)],[p2326,c18]) ).
cnf(p2335,plain,
( ~ spl49
| ~ spl22
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2333,p2330]) ).
cnf(p2355,plain,
( ~ spl49
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2335]) ).
cnf(sct72,plain,
( ~ spl49
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2355]) ).
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(p2369,plain,
( ~ spl25
| e10 = e14 ),
inference(superposition,[status(thm)],[p126,c130]) ).
cnf(p2375,plain,
( ~ spl25
| $false ),
inference(resolution,[status(thm)],[p2369,c3]) ).
cnf(sct73,plain,
~ spl25,
inference(avatar_contradiction_clause,[status(thm)],[p2375]) ).
cnf(p2380,plain,
( ~ spl31
| ~ spl5
| e21 = e20 ),
inference(superposition,[status(thm)],[p556,p102]) ).
cnf(p2396,plain,
( ~ spl31
| ~ spl5
| e20 != e20 ),
inference(superposition,[status(thm)],[p2380,c10]) ).
cnf(p2487,plain,
( ~ spl31
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p2396]) ).
cnf(sct74,plain,
( ~ spl31
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2487]) ).
cnf(p2382,plain,
( ~ spl36
| ~ spl5
| e22 = e20 ),
inference(superposition,[status(thm)],[p636,p102]) ).
cnf(p2428,plain,
( ~ spl36
| ~ spl5
| e20 != e20 ),
inference(superposition,[status(thm)],[p2382,c11]) ).
cnf(p2490,plain,
( ~ spl36
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p2428]) ).
cnf(sct75,plain,
( ~ spl36
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2490]) ).
cnf(p948,plain,
( ~ spl41
| h(e11) = e23 ),
inference(superposition,[status(thm)],[p145,c158]) ).
cnf(p1096,plain,
( ~ spl46
| ~ spl41
| e24 = e23 ),
inference(superposition,[status(thm)],[p1063,p948]) ).
cnf(p1108,plain,
( ~ spl46
| ~ spl41
| e23 = e20 ),
inference(superposition,[status(thm)],[p1096,c79]) ).
cnf(p1106,plain,
( ~ spl46
| ~ spl41
| e23 != e23 ),
inference(superposition,[status(thm)],[p1096,c19]) ).
cnf(p1111,plain,
( ~ spl46
| ~ spl41
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1108,p1106]) ).
cnf(p2508,plain,
( ~ spl46
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p1111]) ).
cnf(sct76,plain,
( ~ spl46
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2508]) ).
cnf(p2384,plain,
( ~ spl46
| ~ spl5
| e24 = e20 ),
inference(superposition,[status(thm)],[p1063,p102]) ).
cnf(p2463,plain,
( ~ spl46
| ~ spl5
| e20 != e20 ),
inference(superposition,[status(thm)],[p2384,c13]) ).
cnf(p2509,plain,
( ~ spl46
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p2463]) ).
cnf(sct77,plain,
( ~ spl46
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2509]) ).
cnf(p2513,plain,
( ~ spl24
| ~ spl3
| e24 = e23 ),
inference(superposition,[status(thm)],[p124,p1112]) ).
cnf(p2520,plain,
( ~ spl24
| ~ spl3
| e23 = e20 ),
inference(superposition,[status(thm)],[p2513,c79]) ).
cnf(p2517,plain,
( ~ spl24
| ~ spl3
| e23 != e23 ),
inference(superposition,[status(thm)],[p2513,c19]) ).
cnf(p2523,plain,
( ~ spl24
| ~ spl3
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2520,p2517]) ).
cnf(p2546,plain,
( ~ spl24
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2523]) ).
cnf(sct78,plain,
( ~ spl24
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2546]) ).
cnf(p2552,plain,
( ~ spl23
| ~ spl4
| e24 = e23 ),
inference(superposition,[status(thm)],[p1362,p123]) ).
cnf(p2559,plain,
( ~ spl23
| ~ spl4
| e23 = e20 ),
inference(superposition,[status(thm)],[p2552,c79]) ).
cnf(p2556,plain,
( ~ spl23
| ~ spl4
| e23 != e23 ),
inference(superposition,[status(thm)],[p2552,c19]) ).
cnf(p2561,plain,
( ~ spl23
| ~ spl4
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2559,p2556]) ).
cnf(p2581,plain,
( ~ spl23
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p2561]) ).
cnf(sct79,plain,
( ~ spl23
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2581]) ).
cnf(p2583,plain,
( ~ spl22
| ~ spl4
| e24 = e22 ),
inference(superposition,[status(thm)],[p1362,p122]) ).
cnf(p2590,plain,
( ~ spl22
| ~ spl4
| e22 = e21 ),
inference(superposition,[status(thm)],[p2583,c74]) ).
cnf(p2587,plain,
( ~ spl22
| ~ spl4
| e22 != e22 ),
inference(superposition,[status(thm)],[p2583,c18]) ).
cnf(p2592,plain,
( ~ spl22
| ~ spl4
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2590,p2587]) ).
cnf(p2613,plain,
( ~ spl22
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p2592]) ).
cnf(sct80,plain,
( ~ spl22
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2613]) ).
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(c136,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2625,plain,
( ~ spl33
| e13 = e12 ),
inference(superposition,[status(thm)],[p135,c136]) ).
cnf(p2637,plain,
( ~ spl33
| e10 = e11 ),
inference(superposition,[status(thm)],[p2625,c48]) ).
cnf(p2650,plain,
( ~ spl33
| $false ),
inference(resolution,[status(thm)],[p2637,c0]) ).
cnf(sct81,plain,
~ spl33,
inference(avatar_contradiction_clause,[status(thm)],[p2650]) ).
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(c154,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2651,plain,
( ~ spl47
| e12 = e13 ),
inference(superposition,[status(thm)],[p152,c154]) ).
cnf(p2653,plain,
( ~ spl47
| $false ),
inference(resolution,[status(thm)],[p2651,c7]) ).
cnf(sct82,plain,
~ spl47,
inference(avatar_contradiction_clause,[status(thm)],[p2653]) ).
cnf(p2655,plain,
( ~ spl48
| ~ spl18
| e24 = e23 ),
inference(superposition,[status(thm)],[p977,p117]) ).
cnf(p2669,plain,
( ~ spl48
| ~ spl18
| e23 = e20 ),
inference(superposition,[status(thm)],[p2655,c79]) ).
cnf(p2666,plain,
( ~ spl48
| ~ spl18
| e23 != e23 ),
inference(superposition,[status(thm)],[p2655,c19]) ).
cnf(p2671,plain,
( ~ spl48
| ~ spl18
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2669,p2666]) ).
cnf(p2695,plain,
( ~ spl48
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2671]) ).
cnf(sct83,plain,
( ~ spl48
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2695]) ).
cnf(p2697,plain,
( ~ spl43
| ~ spl17
| e23 = e22 ),
inference(superposition,[status(thm)],[p860,p116]) ).
cnf(p2716,plain,
( ~ spl43
| ~ spl17
| e22 = e20 ),
inference(superposition,[status(thm)],[p2697,c83]) ).
cnf(p2712,plain,
( ~ spl43
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p2697,c17]) ).
cnf(p2718,plain,
( ~ spl43
| ~ spl17
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2716,p2712]) ).
cnf(p2790,plain,
( ~ spl43
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p2718]) ).
cnf(sct84,plain,
( ~ spl43
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p2790]) ).
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(c148,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2488,plain,
( ~ spl42
| e12 = e13 ),
inference(superposition,[status(thm)],[p146,c148]) ).
cnf(p2791,plain,
( ~ spl42
| $false ),
inference(resolution,[status(thm)],[p2488,c7]) ).
cnf(sct85,plain,
~ spl42,
inference(avatar_contradiction_clause,[status(thm)],[p2791]) ).
cnf(p2699,plain,
( ~ spl48
| ~ spl17
| e24 = e22 ),
inference(superposition,[status(thm)],[p977,p116]) ).
cnf(p2725,plain,
( ~ spl48
| ~ spl17
| e22 = e21 ),
inference(superposition,[status(thm)],[p2699,c74]) ).
cnf(p2722,plain,
( ~ spl48
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p2699,c18]) ).
cnf(p2727,plain,
( ~ spl48
| ~ spl17
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2725,p2722]) ).
cnf(p2812,plain,
( ~ spl48
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p2727]) ).
cnf(sct86,plain,
( ~ spl48
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p2812]) ).
cnf(p737,plain,
( ~ spl38
| ~ spl19
| e24 = e22 ),
inference(superposition,[status(thm)],[p118,p609]) ).
cnf(p2816,plain,
( ~ spl38
| ~ spl19
| e22 = e21 ),
inference(superposition,[status(thm)],[p737,c74]) ).
cnf(p2814,plain,
( ~ spl38
| ~ spl19
| e22 != e22 ),
inference(superposition,[status(thm)],[p737,c18]) ).
cnf(p2819,plain,
( ~ spl38
| ~ spl19
| e21 != e21 ),
inference(demodulation,[status(thm)],[p2816,p2814]) ).
cnf(p2855,plain,
( ~ spl38
| ~ spl19
| $false ),
inference(equality_resolution,[status(thm)],[p2819]) ).
cnf(sct87,plain,
( ~ spl38
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2855]) ).
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(p2870,plain,
( ~ spl34
| e14 = e10 ),
inference(superposition,[status(thm)],[p136,c136]) ).
cnf(p2875,plain,
( ~ spl34
| e10 != e10 ),
inference(superposition,[status(thm)],[p2870,c3]) ).
cnf(p2907,plain,
( ~ spl34
| $false ),
inference(equality_resolution,[status(thm)],[p2875]) ).
cnf(sct88,plain,
~ spl34,
inference(avatar_contradiction_clause,[status(thm)],[p2907]) ).
cnf(p2916,plain,
( ~ spl41
| ~ spl26
| e20 = e23 ),
inference(superposition,[status(thm)],[p475,p948]) ).
cnf(p2940,plain,
( ~ spl41
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p2916,c12]) ).
cnf(sct89,plain,
( ~ spl41
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p2940]) ).
cnf(p2942,plain,
( ~ spl35
| ~ spl1
| e22 = e21 ),
inference(superposition,[status(thm)],[p652,p97]) ).
cnf(p2965,plain,
( ~ spl35
| ~ spl1
| e21 = e20 ),
inference(superposition,[status(thm)],[p2942,c92]) ).
cnf(p2956,plain,
( ~ spl35
| ~ spl1
| e21 != e21 ),
inference(superposition,[status(thm)],[p2942,c14]) ).
cnf(p2968,plain,
( ~ spl35
| ~ spl1
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2965,p2956]) ).
cnf(p3028,plain,
( ~ spl35
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2968]) ).
cnf(sct90,plain,
( ~ spl35
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3028]) ).
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(p2023,plain,
( ~ spl32
| e12 = e13 ),
inference(superposition,[status(thm)],[p134,c136]) ).
cnf(p3056,plain,
( ~ spl32
| $false ),
inference(resolution,[status(thm)],[p2023,c7]) ).
cnf(sct91,plain,
~ spl32,
inference(avatar_contradiction_clause,[status(thm)],[p3056]) ).
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(p2972,plain,
( ~ spl30
| e10 = e14 ),
inference(superposition,[status(thm)],[p132,c136]) ).
cnf(p3057,plain,
( ~ spl30
| $false ),
inference(resolution,[status(thm)],[p2972,c3]) ).
cnf(sct92,plain,
~ spl30,
inference(avatar_contradiction_clause,[status(thm)],[p3057]) ).
cnf(p3067,plain,
( ~ spl26
| ~ spl6
| e20 = e21 ),
inference(superposition,[status(thm)],[p475,p103]) ).
cnf(p3102,plain,
( ~ spl26
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p3067,c10]) ).
cnf(sct93,plain,
( ~ spl26
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p3102]) ).
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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG184+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 04:59:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.10/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.10/3.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------