%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG083+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 : n008.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 12:51:33 PM UTC 2026
% Result : Theorem 22.11s 3.22s
% Output : Proof 22.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 55
% Syntax : Number of formulae : 553 ( 59 unt; 50 def)
% Number of atoms : 1917 (1032 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2160 ( 796 ~; 840 |; 472 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1_nnf,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c10,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(sdef5,definition,
( spl5
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).
cnf(p102,plain,
( ~ spl5
| h(e11) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef5]) ).
fof(sdef6,definition,
( spl6
<=> h(e11) = e21 ),
introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).
cnf(p103,plain,
( ~ spl6
| h(e11) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef6]) ).
cnf(p236,plain,
( ~ spl6
| ~ spl5
| e20 = e21 ),
inference(superposition,[status(thm)],[p102,p103]) ).
cnf(p270,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[c10,p236]) ).
cnf(sct0,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p270]) ).
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(sct1,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p299]) ).
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(sct2,plain,
( ~ spl16
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p323]) ).
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(sct3,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p339]) ).
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]) ).
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(p353,plain,
( ~ spl26
| ~ spl25
| e10 = e11 ),
inference(superposition,[status(thm)],[p126,p127]) ).
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(p356,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p353,c0]) ).
cnf(sct4,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p356]) ).
fof(sdef30,definition,
( spl30
<=> j(e21) = e10 ),
introduced(definition,[new_symbols(naming,[spl30])],[avatar_definition]) ).
cnf(p132,plain,
( ~ spl30
| j(e21) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef30]) ).
fof(sdef31,definition,
( spl31
<=> j(e21) = e11 ),
introduced(definition,[new_symbols(naming,[spl31])],[avatar_definition]) ).
cnf(p133,plain,
( ~ spl31
| j(e21) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef31]) ).
cnf(p373,plain,
( ~ spl31
| ~ spl30
| e10 = e11 ),
inference(superposition,[status(thm)],[p132,p133]) ).
cnf(p376,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p373,c0]) ).
cnf(sct5,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p376]) ).
fof(sdef32,definition,
( spl32
<=> j(e21) = e12 ),
introduced(definition,[new_symbols(naming,[spl32])],[avatar_definition]) ).
cnf(p134,plain,
( ~ spl32
| j(e21) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef32]) ).
cnf(p378,plain,
( ~ spl32
| ~ spl31
| e11 = e12 ),
inference(superposition,[status(thm)],[p133,p134]) ).
cnf(c4,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p381,plain,
( ~ spl32
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p378,c4]) ).
cnf(sct6,plain,
( ~ spl32
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p381]) ).
fof(sdef33,definition,
( spl33
<=> j(e21) = e13 ),
introduced(definition,[new_symbols(naming,[spl33])],[avatar_definition]) ).
cnf(p135,plain,
( ~ spl33
| j(e21) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef33]) ).
cnf(p383,plain,
( ~ spl33
| ~ spl32
| e12 = e13 ),
inference(superposition,[status(thm)],[p134,p135]) ).
cnf(c7,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p386,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p383,c7]) ).
cnf(sct7,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p386]) ).
fof(sdef35,definition,
( spl35
<=> j(e22) = e10 ),
introduced(definition,[new_symbols(naming,[spl35])],[avatar_definition]) ).
cnf(p138,plain,
( ~ spl35
| j(e22) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef35]) ).
fof(sdef36,definition,
( spl36
<=> j(e22) = e11 ),
introduced(definition,[new_symbols(naming,[spl36])],[avatar_definition]) ).
cnf(p139,plain,
( ~ spl36
| j(e22) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef36]) ).
cnf(p393,plain,
( ~ spl36
| ~ spl35
| e10 = e11 ),
inference(superposition,[status(thm)],[p138,p139]) ).
cnf(p396,plain,
( ~ spl36
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p393,c0]) ).
cnf(sct8,plain,
( ~ spl36
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p396]) ).
fof(sdef37,definition,
( spl37
<=> j(e22) = e12 ),
introduced(definition,[new_symbols(naming,[spl37])],[avatar_definition]) ).
cnf(p140,plain,
( ~ spl37
| j(e22) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef37]) ).
cnf(p398,plain,
( ~ spl37
| ~ spl36
| e11 = e12 ),
inference(superposition,[status(thm)],[p139,p140]) ).
cnf(p401,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p398,c4]) ).
cnf(sct9,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p401]) ).
fof(sdef38,definition,
( spl38
<=> j(e22) = e13 ),
introduced(definition,[new_symbols(naming,[spl38])],[avatar_definition]) ).
cnf(p141,plain,
( ~ spl38
| j(e22) = e13 ),
inference(avatar_component_clause,[status(thm)],[sdef38]) ).
cnf(p403,plain,
( ~ spl38
| ~ spl37
| e12 = e13 ),
inference(superposition,[status(thm)],[p140,p141]) ).
cnf(p406,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p403,c7]) ).
cnf(sct10,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(sct11,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(p416,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p413,c0]) ).
cnf(sct12,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(p421,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p418,c4]) ).
cnf(sct13,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(sct14,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(sct15,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(sct16,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(sct17,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(sct18,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(sct19,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p451]) ).
fof(sdef29,definition,
( spl29
<=> j(e20) = e14 ),
introduced(definition,[new_symbols(naming,[spl29])],[avatar_definition]) ).
cnf(p130,plain,
( ~ spl29
| j(e20) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef29]) ).
cnf(p474,plain,
( ~ spl29
| ~ spl26
| e14 = e11 ),
inference(superposition,[status(thm)],[p130,p127]) ).
cnf(c6,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p476,plain,
( ~ spl29
| ~ spl26
| e11 != e11 ),
inference(superposition,[status(thm)],[p474,c6]) ).
cnf(p480,plain,
( ~ spl29
| ~ spl26
| $false ),
inference(equality_resolution,[status(thm)],[p476]) ).
cnf(sct20,plain,
( ~ spl29
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p480]) ).
cnf(p489,plain,
( ~ spl29
| ~ spl25
| e14 = e10 ),
inference(superposition,[status(thm)],[p130,p126]) ).
cnf(c3,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p491,plain,
( ~ spl29
| ~ spl25
| e10 != e10 ),
inference(superposition,[status(thm)],[p489,c3]) ).
cnf(p496,plain,
( ~ spl29
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p491]) ).
cnf(sct21,plain,
( ~ spl29
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p496]) ).
fof(f5,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f5_neg,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f5_nnf,plain,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(nnf_transformation,[status(thm)],[f5_neg]) ).
fof(f5_sk,plain,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c156,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p532,plain,
( ~ spl33
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p135,c156]) ).
cnf(p534,plain,
( ~ spl33
| ~ spl15
| e20 = e21 ),
inference(superposition,[status(thm)],[p114,p532]) ).
cnf(p539,plain,
( ~ spl33
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p534,c10]) ).
cnf(sct22,plain,
( ~ spl33
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p539]) ).
cnf(c157,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p607,plain,
( ~ spl38
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p141,c157]) ).
cnf(p609,plain,
( ~ spl38
| ~ spl15
| e20 = e22 ),
inference(superposition,[status(thm)],[p114,p607]) ).
cnf(c11,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p615,plain,
( ~ spl38
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p609,c11]) ).
cnf(sct23,plain,
( ~ spl38
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p615]) ).
cnf(p617,plain,
( ~ spl39
| ~ spl37
| e14 = e12 ),
inference(superposition,[status(thm)],[p142,p140]) ).
cnf(c8,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p619,plain,
( ~ spl39
| ~ spl37
| e12 != e12 ),
inference(superposition,[status(thm)],[p617,c8]) ).
cnf(p626,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p619]) ).
cnf(sct24,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p626]) ).
cnf(p633,plain,
( ~ spl39
| ~ spl36
| e14 = e11 ),
inference(superposition,[status(thm)],[p142,p139]) ).
cnf(p635,plain,
( ~ spl39
| ~ spl36
| e11 != e11 ),
inference(superposition,[status(thm)],[p633,c6]) ).
cnf(p642,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(equality_resolution,[status(thm)],[p635]) ).
cnf(sct25,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p642]) ).
cnf(p649,plain,
( ~ spl39
| ~ spl35
| e14 = e10 ),
inference(superposition,[status(thm)],[p142,p138]) ).
cnf(p651,plain,
( ~ spl39
| ~ spl35
| e10 != e10 ),
inference(superposition,[status(thm)],[p649,c3]) ).
cnf(p659,plain,
( ~ spl39
| ~ spl35
| $false ),
inference(equality_resolution,[status(thm)],[p651]) ).
cnf(sct26,plain,
( ~ spl39
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p659]) ).
cnf(p665,plain,
( ~ spl39
| h(e14) = e22 ),
inference(superposition,[status(thm)],[p142,c157]) ).
cnf(p667,plain,
( ~ spl39
| ~ spl21
| e21 = e22 ),
inference(superposition,[status(thm)],[p121,p665]) ).
cnf(c14,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p672,plain,
( ~ spl39
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p667,c14]) ).
cnf(sct27,plain,
( ~ spl39
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p672]) ).
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(p681,plain,
( ~ spl33
| ~ spl18
| e21 = e23 ),
inference(superposition,[status(thm)],[p532,p117]) ).
cnf(c15,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p686,plain,
( ~ spl33
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p681,c15]) ).
cnf(sct28,plain,
( ~ spl33
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p686]) ).
cnf(p694,plain,
( ~ spl38
| ~ spl16
| e22 = e21 ),
inference(superposition,[status(thm)],[p607,p115]) ).
cnf(p695,plain,
( ~ spl38
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p694,c14]) ).
cnf(p697,plain,
( ~ spl38
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p695]) ).
cnf(sct29,plain,
( ~ spl38
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p697]) ).
cnf(p701,plain,
( ~ spl39
| ~ spl20
| e22 = e20 ),
inference(superposition,[status(thm)],[p665,p120]) ).
cnf(p707,plain,
( ~ spl39
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p701,c11]) ).
cnf(p711,plain,
( ~ spl39
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p707]) ).
cnf(sct30,plain,
( ~ spl39
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p711]) ).
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(p713,plain,
( ~ spl39
| ~ spl23
| e22 = e23 ),
inference(superposition,[status(thm)],[p665,p123]) ).
cnf(c17,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p716,plain,
( ~ spl39
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p713,c17]) ).
cnf(sct31,plain,
( ~ spl39
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p716]) ).
cnf(c155,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p718,plain,
( ~ spl29
| h(e14) = e20 ),
inference(superposition,[status(thm)],[p130,c155]) ).
cnf(p724,plain,
( ~ spl39
| ~ spl29
| e20 = e22 ),
inference(superposition,[status(thm)],[p718,p665]) ).
cnf(p730,plain,
( ~ spl39
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p724,c11]) ).
cnf(sct32,plain,
( ~ spl39
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p730]) ).
cnf(p683,plain,
( ~ spl38
| ~ spl18
| e22 = e23 ),
inference(superposition,[status(thm)],[p607,p117]) ).
cnf(p740,plain,
( ~ spl38
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p683,c17]) ).
cnf(sct33,plain,
( ~ spl38
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p740]) ).
cnf(p742,plain,
( ~ spl29
| ~ spl21
| e20 = e21 ),
inference(superposition,[status(thm)],[p718,p121]) ).
cnf(p744,plain,
( ~ spl29
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p742,c10]) ).
cnf(sct34,plain,
( ~ spl29
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p744]) ).
cnf(c158,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p794,plain,
( ~ spl43
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p147,c158]) ).
cnf(p796,plain,
( ~ spl43
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p794]) ).
cnf(c12,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p806,plain,
( ~ spl43
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p796,c12]) ).
cnf(sct35,plain,
( ~ spl43
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p806]) ).
cnf(p808,plain,
( ~ spl44
| ~ spl42
| e14 = e12 ),
inference(superposition,[status(thm)],[p148,p146]) ).
fof(f3,axiom,
( op1(e14,e14) = e12
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e10
& op1(e13,e13) = e11
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e11
& op1(e12,e13) = e14
& op1(e12,e12) = e13
& op1(e12,e11) = e10
& op1(e12,e10) = e12
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e10
& op1(e11,e11) = e14
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3_nnf,plain,
( op1(e14,e14) = e12
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e10
& op1(e13,e13) = e11
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e11
& op1(e12,e13) = e14
& op1(e12,e12) = e13
& op1(e12,e11) = e10
& op1(e12,e10) = e12
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e10
& op1(e11,e11) = e14
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( op1(e14,e14) = e12
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e10
& op1(e13,e13) = e11
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e11
& op1(e12,e13) = e14
& op1(e12,e12) = e13
& op1(e12,e11) = e10
& op1(e12,e10) = e12
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e10
& op1(e11,e11) = e14
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c59,plain,
op1(e12,e14) = e11,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p815,plain,
( ~ spl44
| ~ spl42
| e13 = e11 ),
inference(superposition,[status(thm)],[p808,c59]) ).
cnf(c54,plain,
op1(e11,e14) = e13,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p813,plain,
( ~ spl44
| ~ spl42
| e10 = e13 ),
inference(superposition,[status(thm)],[p808,c54]) ).
cnf(p816,plain,
( ~ spl44
| ~ spl42
| e10 = e11 ),
inference(demodulation,[status(thm)],[p815,p813]) ).
cnf(p831,plain,
( ~ spl44
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p816,c0]) ).
cnf(sct36,plain,
( ~ spl44
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p831]) ).
cnf(p858,plain,
( ~ spl44
| ~ spl41
| e14 = e11 ),
inference(superposition,[status(thm)],[p148,p145]) ).
cnf(p860,plain,
( ~ spl44
| ~ spl41
| e11 != e11 ),
inference(superposition,[status(thm)],[p858,c6]) ).
cnf(p871,plain,
( ~ spl44
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p860]) ).
cnf(sct37,plain,
( ~ spl44
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p871]) ).
cnf(c159,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p872,plain,
( ~ spl48
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p153,c159]) ).
cnf(p874,plain,
( ~ spl48
| ~ spl15
| e20 = e24 ),
inference(superposition,[status(thm)],[p114,p872]) ).
cnf(c13,plain,
e20 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p884,plain,
( ~ spl48
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p874,c13]) ).
cnf(sct38,plain,
( ~ spl48
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p884]) ).
cnf(p886,plain,
( ~ spl49
| ~ spl47
| e14 = e12 ),
inference(superposition,[status(thm)],[p154,p152]) ).
cnf(p893,plain,
( ~ spl49
| ~ spl47
| e13 = e11 ),
inference(superposition,[status(thm)],[p886,c59]) ).
cnf(p891,plain,
( ~ spl49
| ~ spl47
| e10 = e13 ),
inference(superposition,[status(thm)],[p886,c54]) ).
cnf(p894,plain,
( ~ spl49
| ~ spl47
| e10 = e11 ),
inference(demodulation,[status(thm)],[p893,p891]) ).
cnf(p909,plain,
( ~ spl49
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p894,c0]) ).
cnf(sct39,plain,
( ~ spl49
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p909]) ).
cnf(p925,plain,
( ~ spl49
| ~ spl46
| e14 = e11 ),
inference(superposition,[status(thm)],[p154,p151]) ).
cnf(p927,plain,
( ~ spl49
| ~ spl46
| e11 != e11 ),
inference(superposition,[status(thm)],[p925,c6]) ).
cnf(p938,plain,
( ~ spl49
| ~ spl46
| $false ),
inference(equality_resolution,[status(thm)],[p927]) ).
cnf(sct40,plain,
( ~ spl49
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p938]) ).
cnf(p963,plain,
( ~ spl49
| ~ spl45
| e14 = e10 ),
inference(superposition,[status(thm)],[p154,p150]) ).
cnf(p965,plain,
( ~ spl49
| ~ spl45
| e10 != e10 ),
inference(superposition,[status(thm)],[p963,c3]) ).
cnf(p977,plain,
( ~ spl49
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p965]) ).
cnf(sct41,plain,
( ~ spl49
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p977]) ).
cnf(p991,plain,
( ~ spl49
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p154,c159]) ).
cnf(p992,plain,
( ~ spl49
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p991,p121]) ).
fof(f4,axiom,
( op2(e24,e24) = e22
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e20
& op2(e23,e23) = e24
& op2(e23,e22) = e21
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e20
& op2(e22,e22) = e23
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e22
& op2(e21,e22) = e24
& op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( op2(e24,e24) = e22
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e20
& op2(e23,e23) = e24
& op2(e23,e22) = e21
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e20
& op2(e22,e22) = e23
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e22
& op2(e21,e22) = e24
& op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( op2(e24,e24) = e22
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e20
& op2(e23,e23) = e24
& op2(e23,e22) = e21
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e20
& op2(e22,e22) = e23
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e22
& op2(e21,e22) = e24
& op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c79,plain,
op2(e21,e24) = e23,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1000,plain,
( ~ spl49
| ~ spl21
| e20 = e23 ),
inference(superposition,[status(thm)],[p992,c79]) ).
cnf(p1020,plain,
( ~ spl49
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p1000,c12]) ).
cnf(sct42,plain,
( ~ spl49
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p1020]) ).
cnf(p1038,plain,
( ~ spl48
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p872,p115]) ).
cnf(p1043,plain,
( ~ spl48
| ~ spl16
| e20 = e23 ),
inference(superposition,[status(thm)],[p1038,c79]) ).
cnf(p1052,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1043,c12]) ).
cnf(sct43,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1052]) ).
fof(sdef3,definition,
( spl3
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(naming,[spl3])],[avatar_definition]) ).
cnf(p99,plain,
( ~ spl3
| h(e10) = e23 ),
inference(avatar_component_clause,[status(thm)],[sdef3]) ).
cnf(c105,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1053,plain,
( ~ spl3
| e23 = e24 ),
inference(superposition,[status(thm)],[p99,c105]) ).
cnf(c19,plain,
e23 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p1055,plain,
( ~ spl3
| $false ),
inference(resolution,[status(thm)],[p1053,c19]) ).
cnf(sct44,plain,
~ spl3,
inference(avatar_contradiction_clause,[status(thm)],[p1055]) ).
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(p1077,plain,
( ~ spl2
| e22 = e23 ),
inference(superposition,[status(thm)],[p98,c105]) ).
cnf(p1122,plain,
( ~ spl2
| $false ),
inference(resolution,[status(thm)],[p1077,c17]) ).
cnf(sct45,plain,
~ spl2,
inference(avatar_contradiction_clause,[status(thm)],[p1122]) ).
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(p1145,plain,
( ~ spl1
| e21 = e20 ),
inference(superposition,[status(thm)],[p97,c105]) ).
cnf(p1157,plain,
( ~ spl1
| e20 != e20 ),
inference(superposition,[status(thm)],[p1145,c10]) ).
cnf(p1170,plain,
( ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p1157]) ).
cnf(sct46,plain,
~ spl1,
inference(avatar_contradiction_clause,[status(thm)],[p1170]) ).
cnf(p569,plain,
( ~ spl30
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p132,c156]) ).
fof(sdef0,definition,
( spl0
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(naming,[spl0])],[avatar_definition]) ).
cnf(p96,plain,
( ~ spl0
| h(e10) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef0]) ).
cnf(p1195,plain,
( ~ spl30
| ~ spl0
| e21 = e20 ),
inference(superposition,[status(thm)],[p569,p96]) ).
cnf(p1203,plain,
( ~ spl30
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1195,c10]) ).
cnf(p1242,plain,
( ~ spl30
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1203]) ).
cnf(sct47,plain,
( ~ spl30
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1242]) ).
cnf(p650,plain,
( ~ spl35
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p138,c157]) ).
cnf(p1197,plain,
( ~ spl35
| ~ spl0
| e22 = e20 ),
inference(superposition,[status(thm)],[p650,p96]) ).
cnf(p1210,plain,
( ~ spl35
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1197,c11]) ).
cnf(p1243,plain,
( ~ spl35
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1210]) ).
cnf(sct48,plain,
( ~ spl35
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1243]) ).
cnf(p964,plain,
( ~ spl45
| h(e10) = e24 ),
inference(superposition,[status(thm)],[p150,c159]) ).
cnf(p1199,plain,
( ~ spl45
| ~ spl0
| e24 = e20 ),
inference(superposition,[status(thm)],[p964,p96]) ).
cnf(p1228,plain,
( ~ spl45
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1199,c13]) ).
cnf(p1244,plain,
( ~ spl45
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1228]) ).
cnf(sct49,plain,
( ~ spl45
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1244]) ).
cnf(p1260,plain,
( ~ spl43
| ~ spl16
| e23 = e21 ),
inference(superposition,[status(thm)],[p794,p115]) ).
cnf(p1265,plain,
( ~ spl43
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1260,c15]) ).
cnf(p1273,plain,
( ~ spl43
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1265]) ).
cnf(sct50,plain,
( ~ spl43
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1273]) ).
cnf(p1498,plain,
( ~ spl49
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p991,p120]) ).
cnf(p1510,plain,
( ~ spl49
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p1498,c13]) ).
cnf(p1537,plain,
( ~ spl49
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1510]) ).
cnf(sct51,plain,
( ~ spl49
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1537]) ).
cnf(p1539,plain,
( ~ spl49
| ~ spl23
| e24 = e23 ),
inference(superposition,[status(thm)],[p991,p123]) ).
cnf(c84,plain,
op2(e22,e24) = e21,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1553,plain,
( ~ spl49
| ~ spl23
| e20 = e21 ),
inference(superposition,[status(thm)],[p1539,c84]) ).
cnf(p1567,plain,
( ~ spl49
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p1553,c10]) ).
cnf(sct52,plain,
( ~ spl49
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1567]) ).
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(c126,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1580,plain,
( ~ spl8
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p105,c126]) ).
cnf(c111,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1245,plain,
( ~ spl8
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p105,c111]) ).
cnf(c114,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1421,plain,
( ~ spl8
| h(e13) = e20 ),
inference(superposition,[status(thm)],[p1245,c114]) ).
cnf(p1581,plain,
( ~ spl8
| e21 = e20 ),
inference(demodulation,[status(thm)],[p1580,p1421]) ).
cnf(p1588,plain,
( ~ spl8
| e20 != e20 ),
inference(superposition,[status(thm)],[p1581,c10]) ).
cnf(p1616,plain,
( ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p1588]) ).
cnf(sct53,plain,
~ spl8,
inference(avatar_contradiction_clause,[status(thm)],[p1616]) ).
cnf(p1810,plain,
( ~ spl48
| ~ spl18
| e24 = e23 ),
inference(superposition,[status(thm)],[p872,p117]) ).
cnf(p1826,plain,
( ~ spl48
| ~ spl18
| e20 = e21 ),
inference(superposition,[status(thm)],[p1810,c84]) ).
cnf(p1832,plain,
( ~ spl48
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p1826,c10]) ).
cnf(sct54,plain,
( ~ spl48
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p1832]) ).
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(p1642,plain,
( ~ spl7
| h(e14) = e23 ),
inference(superposition,[status(thm)],[p104,c111]) ).
cnf(p1907,plain,
( ~ spl7
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p1642,c126]) ).
cnf(p1899,plain,
( ~ spl7
| h(e13) = e20 ),
inference(superposition,[status(thm)],[p1642,c114]) ).
cnf(p1908,plain,
( ~ spl7
| e21 = e20 ),
inference(demodulation,[status(thm)],[p1907,p1899]) ).
cnf(p1927,plain,
( ~ spl7
| e20 != e20 ),
inference(superposition,[status(thm)],[p1908,c10]) ).
cnf(p1953,plain,
( ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p1927]) ).
cnf(sct55,plain,
~ spl7,
inference(avatar_contradiction_clause,[status(thm)],[p1953]) ).
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(p271,plain,
( ~ spl9
| ~ spl6
| e24 = e21 ),
inference(superposition,[status(thm)],[p106,p103]) ).
cnf(p1958,plain,
( ~ spl9
| ~ spl6
| e20 = e23 ),
inference(superposition,[status(thm)],[p271,c79]) ).
cnf(p1966,plain,
( ~ spl9
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1958,c12]) ).
cnf(sct56,plain,
( ~ spl9
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1966]) ).
cnf(p475,plain,
( ~ spl26
| h(e11) = e20 ),
inference(superposition,[status(thm)],[p127,c155]) ).
cnf(p1968,plain,
( ~ spl26
| ~ spl6
| e20 = e21 ),
inference(superposition,[status(thm)],[p475,p103]) ).
cnf(p1999,plain,
( ~ spl26
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1968,c10]) ).
cnf(sct57,plain,
( ~ spl26
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1999]) ).
cnf(p634,plain,
( ~ spl36
| h(e11) = e22 ),
inference(superposition,[status(thm)],[p139,c157]) ).
cnf(p1970,plain,
( ~ spl36
| ~ spl6
| e22 = e21 ),
inference(superposition,[status(thm)],[p634,p103]) ).
cnf(c83,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p2005,plain,
( ~ spl36
| ~ spl6
| e21 = e20 ),
inference(superposition,[status(thm)],[p1970,c83]) ).
cnf(p1982,plain,
( ~ spl36
| ~ spl6
| e21 = e22 ),
inference(superposition,[status(thm)],[p103,p634]) ).
cnf(p2007,plain,
( ~ spl36
| ~ spl6
| e20 = e22 ),
inference(demodulation,[status(thm)],[p2005,p1982]) ).
cnf(p2047,plain,
( ~ spl36
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p2007,c11]) ).
cnf(sct58,plain,
( ~ spl36
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2047]) ).
cnf(p926,plain,
( ~ spl46
| h(e11) = e24 ),
inference(superposition,[status(thm)],[p151,c159]) ).
cnf(p1972,plain,
( ~ spl46
| ~ spl6
| e24 = e21 ),
inference(superposition,[status(thm)],[p926,p103]) ).
cnf(p2014,plain,
( ~ spl46
| ~ spl6
| e20 = e23 ),
inference(superposition,[status(thm)],[p1972,c79]) ).
cnf(p2051,plain,
( ~ spl46
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p2014,c12]) ).
cnf(sct59,plain,
( ~ spl46
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2051]) ).
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(c117,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1714,plain,
( ~ spl13
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p111,c117]) ).
cnf(c122,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2112,plain,
( ~ spl13
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p1714,c122]) ).
cnf(c118,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2105,plain,
( ~ spl13
| h(e14) = e20 ),
inference(superposition,[status(thm)],[p1714,c118]) ).
cnf(p2113,plain,
( ~ spl13
| e21 = e20 ),
inference(demodulation,[status(thm)],[p2112,p2105]) ).
cnf(p2142,plain,
( ~ spl13
| e20 != e20 ),
inference(superposition,[status(thm)],[p2113,c10]) ).
cnf(p2170,plain,
( ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p2142]) ).
cnf(sct60,plain,
~ spl13,
inference(avatar_contradiction_clause,[status(thm)],[p2170]) ).
cnf(p859,plain,
( ~ spl41
| h(e11) = e23 ),
inference(superposition,[status(thm)],[p145,c158]) ).
cnf(p2207,plain,
( ~ spl41
| ~ spl6
| e21 = e23 ),
inference(superposition,[status(thm)],[p103,p859]) ).
cnf(p2241,plain,
( ~ spl41
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p2207,c15]) ).
cnf(sct61,plain,
( ~ spl41
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2241]) ).
cnf(p2243,plain,
( ~ spl44
| ~ spl40
| e14 = e10 ),
inference(superposition,[status(thm)],[p148,p144]) ).
cnf(p2252,plain,
( ~ spl44
| ~ spl40
| e10 != e10 ),
inference(superposition,[status(thm)],[p2243,c3]) ).
cnf(p2269,plain,
( ~ spl44
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p2252]) ).
cnf(sct62,plain,
( ~ spl44
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2269]) ).
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(p1491,plain,
( ~ spl12
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p110,c117]) ).
cnf(p2289,plain,
( ~ spl12
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p1491,c122]) ).
cnf(p2282,plain,
( ~ spl12
| h(e14) = e20 ),
inference(superposition,[status(thm)],[p1491,c118]) ).
cnf(p2290,plain,
( ~ spl12
| e21 = e20 ),
inference(demodulation,[status(thm)],[p2289,p2282]) ).
cnf(p2324,plain,
( ~ spl12
| e20 != e20 ),
inference(superposition,[status(thm)],[p2290,c10]) ).
cnf(p2353,plain,
( ~ spl12
| $false ),
inference(equality_resolution,[status(thm)],[p2324]) ).
cnf(sct63,plain,
~ spl12,
inference(avatar_contradiction_clause,[status(thm)],[p2353]) ).
cnf(p618,plain,
( ~ spl37
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p140,c157]) ).
cnf(p887,plain,
( ~ spl47
| h(e12) = e24 ),
inference(superposition,[status(thm)],[p152,c159]) ).
cnf(p913,plain,
( ~ spl47
| ~ spl37
| e22 = e24 ),
inference(superposition,[status(thm)],[p618,p887]) ).
cnf(c18,plain,
e22 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p2376,plain,
( ~ spl47
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p913,c18]) ).
cnf(sct64,plain,
( ~ spl47
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2376]) ).
cnf(p2378,plain,
( ~ spl37
| ~ spl11
| e22 = e21 ),
inference(superposition,[status(thm)],[p618,p109]) ).
cnf(p2394,plain,
( ~ spl37
| ~ spl11
| e21 = e20 ),
inference(superposition,[status(thm)],[p2378,c83]) ).
cnf(p2379,plain,
( ~ spl37
| ~ spl11
| e21 = e22 ),
inference(superposition,[status(thm)],[p109,p618]) ).
cnf(p2396,plain,
( ~ spl37
| ~ spl11
| e20 = e22 ),
inference(demodulation,[status(thm)],[p2394,p2379]) ).
cnf(p2441,plain,
( ~ spl37
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2396,c11]) ).
cnf(sct65,plain,
( ~ spl37
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2441]) ).
cnf(p2475,plain,
( ~ spl47
| ~ spl11
| e24 = e21 ),
inference(superposition,[status(thm)],[p887,p109]) ).
cnf(p2483,plain,
( ~ spl47
| ~ spl11
| e20 = e23 ),
inference(superposition,[status(thm)],[p2475,c79]) ).
cnf(p2491,plain,
( ~ spl47
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2483,c12]) ).
cnf(sct66,plain,
( ~ spl47
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2491]) ).
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(c129,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1724,plain,
( ~ spl24
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p124,c129]) ).
cnf(c127,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2522,plain,
( ~ spl24
| h(e11) = e20 ),
inference(superposition,[status(thm)],[p1724,c127]) ).
cnf(c119,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2512,plain,
( ~ spl24
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p1724,c119]) ).
cnf(p2523,plain,
( ~ spl24
| e20 = e21 ),
inference(demodulation,[status(thm)],[p2522,p2512]) ).
cnf(p2535,plain,
( ~ spl24
| $false ),
inference(resolution,[status(thm)],[p2523,c10]) ).
cnf(sct67,plain,
~ spl24,
inference(avatar_contradiction_clause,[status(thm)],[p2535]) ).
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(c123,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1841,plain,
( ~ spl19
| h(e11) = e22 ),
inference(superposition,[status(thm)],[p118,c123]) ).
cnf(c121,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2620,plain,
( ~ spl19
| h(e12) = e20 ),
inference(superposition,[status(thm)],[p1841,c121]) ).
cnf(c113,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2610,plain,
( ~ spl19
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p1841,c113]) ).
cnf(p2621,plain,
( ~ spl19
| e20 = e21 ),
inference(demodulation,[status(thm)],[p2620,p2610]) ).
cnf(p2644,plain,
( ~ spl19
| $false ),
inference(resolution,[status(thm)],[p2621,c10]) ).
cnf(sct68,plain,
~ spl19,
inference(avatar_contradiction_clause,[status(thm)],[p2644]) ).
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(p1388,plain,
( ~ spl14
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p112,c117]) ).
cnf(p2656,plain,
( ~ spl14
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p1388,c122]) ).
cnf(p2649,plain,
( ~ spl14
| h(e14) = e20 ),
inference(superposition,[status(thm)],[p1388,c118]) ).
cnf(p2657,plain,
( ~ spl14
| e21 = e20 ),
inference(demodulation,[status(thm)],[p2656,p2649]) ).
cnf(p2668,plain,
( ~ spl14
| e20 != e20 ),
inference(superposition,[status(thm)],[p2657,c10]) ).
cnf(p2698,plain,
( ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p2668]) ).
cnf(sct69,plain,
~ spl14,
inference(avatar_contradiction_clause,[status(thm)],[p2698]) ).
cnf(p2708,plain,
( ~ spl47
| ~ spl10
| e20 = e24 ),
inference(superposition,[status(thm)],[p108,p887]) ).
cnf(p2743,plain,
( ~ spl47
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p2708,c13]) ).
cnf(sct70,plain,
( ~ spl47
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2743]) ).
cnf(p2745,plain,
( ~ spl26
| ~ spl9
| e20 = e24 ),
inference(superposition,[status(thm)],[p475,p106]) ).
cnf(p2789,plain,
( ~ spl26
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p2745,c13]) ).
cnf(sct71,plain,
( ~ spl26
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2789]) ).
cnf(p555,plain,
( ~ spl31
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p133,c156]) ).
cnf(p2746,plain,
( ~ spl31
| ~ spl9
| e24 = e21 ),
inference(superposition,[status(thm)],[p106,p555]) ).
cnf(p2793,plain,
( ~ spl31
| ~ spl9
| e20 = e23 ),
inference(superposition,[status(thm)],[p2746,c79]) ).
cnf(p2800,plain,
( ~ spl31
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p2793,c12]) ).
cnf(sct72,plain,
( ~ spl31
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2800]) ).
cnf(p542,plain,
( ~ spl32
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p134,c156]) ).
cnf(p2827,plain,
( ~ spl32
| ~ spl10
| e20 = e21 ),
inference(superposition,[status(thm)],[p108,p542]) ).
cnf(p2862,plain,
( ~ spl32
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p2827,c10]) ).
cnf(sct73,plain,
( ~ spl32
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2862]) ).
cnf(p809,plain,
( ~ spl42
| h(e12) = e23 ),
inference(superposition,[status(thm)],[p146,c158]) ).
cnf(p834,plain,
( ~ spl42
| ~ spl37
| e23 = e22 ),
inference(superposition,[status(thm)],[p809,p618]) ).
cnf(p847,plain,
( ~ spl42
| ~ spl37
| e22 = e20 ),
inference(superposition,[status(thm)],[p834,c83]) ).
cnf(p845,plain,
( ~ spl42
| ~ spl37
| e22 != e22 ),
inference(superposition,[status(thm)],[p834,c17]) ).
cnf(p850,plain,
( ~ spl42
| ~ spl37
| e20 != e20 ),
inference(demodulation,[status(thm)],[p847,p845]) ).
cnf(p2884,plain,
( ~ spl42
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p850]) ).
cnf(sct74,plain,
( ~ spl42
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2884]) ).
cnf(p941,plain,
( ~ spl46
| ~ spl41
| e24 = e23 ),
inference(superposition,[status(thm)],[p926,p859]) ).
cnf(p955,plain,
( ~ spl46
| ~ spl41
| e20 = e21 ),
inference(superposition,[status(thm)],[p941,c84]) ).
cnf(p2885,plain,
( ~ spl46
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p955,c10]) ).
cnf(sct75,plain,
( ~ spl46
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2885]) ).
cnf(p2902,plain,
( ~ spl37
| ~ spl10
| e20 = e22 ),
inference(superposition,[status(thm)],[p108,p618]) ).
cnf(p2931,plain,
( ~ spl37
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p2902,c11]) ).
cnf(sct76,plain,
( ~ spl37
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2931]) ).
cnf(p1504,plain,
( ~ spl16
| h(e11) = e20 ),
inference(superposition,[status(thm)],[p115,c123]) ).
cnf(p1780,plain,
( ~ spl36
| ~ spl16
| e20 = e22 ),
inference(superposition,[status(thm)],[p1504,p634]) ).
cnf(p2954,plain,
( ~ spl36
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1780,c11]) ).
cnf(sct77,plain,
( ~ spl36
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2954]) ).
cnf(p2967,plain,
( ~ spl46
| ~ spl16
| e20 = e24 ),
inference(superposition,[status(thm)],[p1504,p926]) ).
cnf(p3000,plain,
( ~ spl46
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2967,c13]) ).
cnf(sct78,plain,
( ~ spl46
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3000]) ).
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(p3017,plain,
( ~ spl28
| e13 = e11 ),
inference(superposition,[status(thm)],[p129,c130]) ).
cnf(c58,plain,
op1(e12,e13) = e14,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p3026,plain,
( ~ spl28
| e10 = e14 ),
inference(superposition,[status(thm)],[p3017,c58]) ).
cnf(p3036,plain,
( ~ spl28
| $false ),
inference(resolution,[status(thm)],[p3026,c3]) ).
cnf(sct79,plain,
~ spl28,
inference(avatar_contradiction_clause,[status(thm)],[p3036]) ).
cnf(p3038,plain,
( ~ spl18
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p117]) ).
cnf(p3061,plain,
( ~ spl18
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p3038,c12]) ).
cnf(sct80,plain,
( ~ spl18
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p3061]) ).
cnf(p3081,plain,
( ~ spl36
| ~ spl9
| e22 = e24 ),
inference(superposition,[status(thm)],[p634,p106]) ).
cnf(p3125,plain,
( ~ spl36
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p3081,c18]) ).
cnf(sct81,plain,
( ~ spl36
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p3125]) ).
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(p2547,plain,
( ~ spl27
| e12 = e13 ),
inference(superposition,[status(thm)],[p128,c130]) ).
cnf(p3180,plain,
( ~ spl27
| $false ),
inference(resolution,[status(thm)],[p2547,c7]) ).
cnf(sct82,plain,
~ spl27,
inference(avatar_contradiction_clause,[status(thm)],[p3180]) ).
cnf(p3082,plain,
( ~ spl46
| ~ spl36
| e22 = e24 ),
inference(superposition,[status(thm)],[p634,p926]) ).
cnf(p3187,plain,
( ~ spl46
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p3082,c18]) ).
cnf(sct83,plain,
( ~ spl46
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p3187]) ).
cnf(p3203,plain,
( ~ spl31
| ~ spl5
| e20 = e21 ),
inference(superposition,[status(thm)],[p102,p555]) ).
cnf(p3259,plain,
( ~ spl31
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p3203,c10]) ).
cnf(sct84,plain,
( ~ spl31
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p3259]) ).
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(p1867,plain,
( ~ spl34
| j(e20) = e12 ),
inference(superposition,[status(thm)],[p136,c136]) ).
cnf(p3146,plain,
( ~ spl34
| e12 = e13 ),
inference(superposition,[status(thm)],[p1867,c130]) ).
cnf(p3262,plain,
( ~ spl34
| $false ),
inference(resolution,[status(thm)],[p3146,c7]) ).
cnf(sct85,plain,
~ spl34,
inference(avatar_contradiction_clause,[status(thm)],[p3262]) ).
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(p2052,plain,
( ~ spl17
| h(e11) = e23 ),
inference(superposition,[status(thm)],[p116,c123]) ).
cnf(p3290,plain,
( ~ spl17
| h(e12) = e20 ),
inference(superposition,[status(thm)],[p2052,c121]) ).
cnf(p3280,plain,
( ~ spl17
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p2052,c113]) ).
cnf(p3291,plain,
( ~ spl17
| e20 = e21 ),
inference(demodulation,[status(thm)],[p3290,p3280]) ).
cnf(p3316,plain,
( ~ spl17
| $false ),
inference(resolution,[status(thm)],[p3291,c10]) ).
cnf(sct86,plain,
~ spl17,
inference(avatar_contradiction_clause,[status(thm)],[p3316]) ).
cnf(p2244,plain,
( ~ spl40
| h(e10) = e23 ),
inference(superposition,[status(thm)],[p144,c158]) ).
cnf(p3322,plain,
( ~ spl40
| ~ spl0
| e20 = e23 ),
inference(superposition,[status(thm)],[p96,p2244]) ).
cnf(p3364,plain,
( ~ spl40
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p3322,c12]) ).
cnf(sct87,plain,
( ~ spl40
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3364]) ).
cnf(p2839,plain,
( ~ spl42
| ~ spl32
| e21 = e23 ),
inference(superposition,[status(thm)],[p542,p809]) ).
cnf(p3376,plain,
( ~ spl42
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p2839,c15]) ).
cnf(sct88,plain,
( ~ spl42
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p3376]) ).
cnf(p490,plain,
( ~ spl25
| h(e10) = e20 ),
inference(superposition,[status(thm)],[p126,c155]) ).
cnf(p3324,plain,
( ~ spl40
| ~ spl25
| e20 = e23 ),
inference(superposition,[status(thm)],[p490,p2244]) ).
cnf(p3481,plain,
( ~ spl40
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p3324,c12]) ).
cnf(sct89,plain,
( ~ spl40
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p3481]) ).
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(p2542,plain,
( ~ spl22
| h(e12) = e23 ),
inference(superposition,[status(thm)],[p122,c129]) ).
cnf(p3447,plain,
( ~ spl22
| h(e11) = e20 ),
inference(superposition,[status(thm)],[p2542,c127]) ).
cnf(p3436,plain,
( ~ spl22
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p2542,c119]) ).
cnf(p3448,plain,
( ~ spl22
| e20 = e21 ),
inference(demodulation,[status(thm)],[p3447,p3436]) ).
cnf(p3483,plain,
( ~ spl22
| $false ),
inference(resolution,[status(thm)],[p3448,c10]) ).
cnf(sct90,plain,
~ spl22,
inference(avatar_contradiction_clause,[status(thm)],[p3483]) ).
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(p3488,plain,
( ~ spl4
| e24 = e22 ),
inference(superposition,[status(thm)],[p100,c105]) ).
cnf(p3494,plain,
( ~ spl4
| e22 != e22 ),
inference(superposition,[status(thm)],[p3488,c18]) ).
cnf(p3527,plain,
( ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p3494]) ).
cnf(sct91,plain,
~ spl4,
inference(avatar_contradiction_clause,[status(thm)],[p3527]) ).
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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG083+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 04:44:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.11/3.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.11/3.22 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------