%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG082+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 : n001.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 36.22s 5.22s
% Output : Proof 36.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 55
% Syntax : Number of formulae : 623 ( 57 unt; 50 def)
% Number of atoms : 2124 (1060 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2468 ( 967 ~; 977 |; 472 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1_nnf,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c10,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(sdef5,definition,
( spl5
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).
cnf(p102,plain,
( ~ spl5
| h(e11) = e20 ),
inference(avatar_component_clause,[status(thm)],[sdef5]) ).
fof(sdef6,definition,
( spl6
<=> h(e11) = e21 ),
introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).
cnf(p103,plain,
( ~ spl6
| h(e11) = e21 ),
inference(avatar_component_clause,[status(thm)],[sdef6]) ).
cnf(p236,plain,
( ~ spl6
| ~ spl5
| e20 = e21 ),
inference(superposition,[status(thm)],[p102,p103]) ).
cnf(p270,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[c10,p236]) ).
cnf(sct0,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p270]) ).
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(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(c14,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p327,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p325,c14]) ).
cnf(sct3,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p327]) ).
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(sct4,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(sct5,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(c17,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p347,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p345,c17]) ).
cnf(sct6,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(c19,plain,
e23 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p351,plain,
( ~ spl24
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p349,c19]) ).
cnf(sct7,plain,
( ~ spl24
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p351]) ).
fof(sdef27,definition,
( spl27
<=> j(e20) = e12 ),
introduced(definition,[new_symbols(naming,[spl27])],[avatar_definition]) ).
cnf(p128,plain,
( ~ spl27
| j(e20) = e12 ),
inference(avatar_component_clause,[status(thm)],[sdef27]) ).
fof(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(p363,plain,
( ~ spl28
| ~ spl27
| e12 = e13 ),
inference(superposition,[status(thm)],[p128,p129]) ).
fof(f0,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f0_nnf,plain,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c7,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p366,plain,
( ~ spl28
| ~ spl27
| $false ),
inference(resolution,[status(thm)],[p363,c7]) ).
cnf(sct8,plain,
( ~ spl28
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p366]) ).
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(p368,plain,
( ~ spl29
| ~ spl28
| e13 = e14 ),
inference(superposition,[status(thm)],[p129,p130]) ).
cnf(c9,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p371,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p368,c9]) ).
cnf(sct9,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p371]) ).
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(c0,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p376,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p373,c0]) ).
cnf(sct10,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(sct11,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(p386,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p383,c7]) ).
cnf(sct12,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p386]) ).
fof(sdef34,definition,
( spl34
<=> j(e21) = e14 ),
introduced(definition,[new_symbols(naming,[spl34])],[avatar_definition]) ).
cnf(p136,plain,
( ~ spl34
| j(e21) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef34]) ).
cnf(p388,plain,
( ~ spl34
| ~ spl33
| e13 = e14 ),
inference(superposition,[status(thm)],[p135,p136]) ).
cnf(p391,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p388,c9]) ).
cnf(sct13,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p391]) ).
fof(sdef35,definition,
( spl35
<=> j(e22) = e10 ),
introduced(definition,[new_symbols(naming,[spl35])],[avatar_definition]) ).
cnf(p138,plain,
( ~ spl35
| j(e22) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef35]) ).
fof(sdef36,definition,
( spl36
<=> j(e22) = e11 ),
introduced(definition,[new_symbols(naming,[spl36])],[avatar_definition]) ).
cnf(p139,plain,
( ~ spl36
| j(e22) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef36]) ).
cnf(p393,plain,
( ~ spl36
| ~ spl35
| e10 = e11 ),
inference(superposition,[status(thm)],[p138,p139]) ).
cnf(p396,plain,
( ~ spl36
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p393,c0]) ).
cnf(sct14,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(sct15,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(sct16,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p406]) ).
fof(sdef39,definition,
( spl39
<=> j(e22) = e14 ),
introduced(definition,[new_symbols(naming,[spl39])],[avatar_definition]) ).
cnf(p142,plain,
( ~ spl39
| j(e22) = e14 ),
inference(avatar_component_clause,[status(thm)],[sdef39]) ).
cnf(p408,plain,
( ~ spl39
| ~ spl38
| e13 = e14 ),
inference(superposition,[status(thm)],[p141,p142]) ).
cnf(p411,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p408,c9]) ).
cnf(sct17,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p411]) ).
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]) ).
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(sct18,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p426]) ).
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(sct19,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(sct20,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(sct21,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(sct22,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p451]) ).
cnf(p460,plain,
( ~ spl29
| ~ spl27
| e14 = e12 ),
inference(superposition,[status(thm)],[p130,p128]) ).
cnf(c8,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p462,plain,
( ~ spl29
| ~ spl27
| e12 != e12 ),
inference(superposition,[status(thm)],[p460,c8]) ).
cnf(p465,plain,
( ~ spl29
| ~ spl27
| $false ),
inference(equality_resolution,[status(thm)],[p462]) ).
cnf(sct23,plain,
( ~ spl29
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p465]) ).
fof(sdef25,definition,
( spl25
<=> j(e20) = e10 ),
introduced(definition,[new_symbols(naming,[spl25])],[avatar_definition]) ).
cnf(p126,plain,
( ~ spl25
| j(e20) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef25]) ).
cnf(p489,plain,
( ~ spl29
| ~ spl25
| e14 = e10 ),
inference(superposition,[status(thm)],[p130,p126]) ).
cnf(c3,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p491,plain,
( ~ spl29
| ~ spl25
| e10 != e10 ),
inference(superposition,[status(thm)],[p489,c3]) ).
cnf(p496,plain,
( ~ spl29
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p491]) ).
cnf(sct24,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(c155,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p452,plain,
( ~ spl28
| h(e13) = e20 ),
inference(superposition,[status(thm)],[p129,c155]) ).
cnf(p507,plain,
( ~ spl28
| ~ spl17
| e20 = e22 ),
inference(superposition,[status(thm)],[p452,p116]) ).
cnf(c11,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p513,plain,
( ~ spl28
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p507,c11]) ).
cnf(sct25,plain,
( ~ spl28
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p513]) ).
cnf(p517,plain,
( ~ spl28
| ~ spl16
| e20 = e21 ),
inference(superposition,[status(thm)],[p452,p115]) ).
cnf(p523,plain,
( ~ spl28
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p517,c10]) ).
cnf(sct26,plain,
( ~ spl28
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p523]) ).
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(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(sct27,plain,
( ~ spl19
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p531]) ).
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(sct28,plain,
( ~ spl33
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p539]) ).
cnf(p541,plain,
( ~ spl34
| ~ spl32
| e14 = e12 ),
inference(superposition,[status(thm)],[p136,p134]) ).
cnf(p543,plain,
( ~ spl34
| ~ spl32
| e12 != e12 ),
inference(superposition,[status(thm)],[p541,c8]) ).
cnf(p546,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(equality_resolution,[status(thm)],[p543]) ).
cnf(sct29,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p546]) ).
cnf(p554,plain,
( ~ spl34
| ~ spl31
| e14 = e11 ),
inference(superposition,[status(thm)],[p136,p133]) ).
cnf(c6,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p556,plain,
( ~ spl34
| ~ spl31
| e11 != e11 ),
inference(superposition,[status(thm)],[p554,c6]) ).
cnf(p560,plain,
( ~ spl34
| ~ spl31
| $false ),
inference(equality_resolution,[status(thm)],[p556]) ).
cnf(sct30,plain,
( ~ spl34
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p560]) ).
cnf(p568,plain,
( ~ spl34
| ~ spl30
| e14 = e10 ),
inference(superposition,[status(thm)],[p136,p132]) ).
cnf(p570,plain,
( ~ spl34
| ~ spl30
| e10 != e10 ),
inference(superposition,[status(thm)],[p568,c3]) ).
cnf(p576,plain,
( ~ spl34
| ~ spl30
| $false ),
inference(equality_resolution,[status(thm)],[p570]) ).
cnf(sct31,plain,
( ~ spl34
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p576]) ).
cnf(p583,plain,
( ~ spl34
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p136,c156]) ).
cnf(p585,plain,
( ~ spl34
| ~ spl23
| e23 = e21 ),
inference(superposition,[status(thm)],[p123,p583]) ).
cnf(c15,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p586,plain,
( ~ spl34
| ~ spl23
| e21 != e21 ),
inference(superposition,[status(thm)],[p585,c15]) ).
cnf(p589,plain,
( ~ spl34
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p586]) ).
cnf(sct32,plain,
( ~ spl34
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p589]) ).
cnf(p593,plain,
( ~ spl34
| ~ spl22
| e21 = e22 ),
inference(superposition,[status(thm)],[p583,p122]) ).
cnf(p599,plain,
( ~ spl34
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p593,c14]) ).
cnf(sct33,plain,
( ~ spl34
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p599]) ).
cnf(p601,plain,
( ~ spl24
| ~ spl21
| e24 = e21 ),
inference(superposition,[status(thm)],[p124,p121]) ).
cnf(c16,plain,
e21 != e24,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p602,plain,
( ~ spl24
| ~ spl21
| e21 != e21 ),
inference(superposition,[status(thm)],[p601,c16]) ).
cnf(p606,plain,
( ~ spl24
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p602]) ).
cnf(sct34,plain,
( ~ spl24
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p606]) ).
cnf(c157,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p607,plain,
( ~ spl38
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p141,c157]) ).
cnf(p609,plain,
( ~ spl38
| ~ spl15
| e20 = e22 ),
inference(superposition,[status(thm)],[p114,p607]) ).
cnf(p615,plain,
( ~ spl38
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p609,c11]) ).
cnf(sct35,plain,
( ~ spl38
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p615]) ).
cnf(p617,plain,
( ~ spl39
| ~ spl37
| e14 = e12 ),
inference(superposition,[status(thm)],[p142,p140]) ).
cnf(p619,plain,
( ~ spl39
| ~ spl37
| e12 != e12 ),
inference(superposition,[status(thm)],[p617,c8]) ).
cnf(p626,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p619]) ).
cnf(sct36,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(sct37,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(sct38,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(p672,plain,
( ~ spl39
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p667,c14]) ).
cnf(sct39,plain,
( ~ spl39
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p672]) ).
cnf(p669,plain,
( ~ spl39
| ~ spl34
| e21 = e22 ),
inference(superposition,[status(thm)],[p583,p665]) ).
cnf(p674,plain,
( ~ spl39
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p669,c14]) ).
cnf(sct40,plain,
( ~ spl39
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p674]) ).
cnf(p536,plain,
( ~ spl33
| ~ spl28
| e20 = e21 ),
inference(superposition,[status(thm)],[p452,p532]) ).
cnf(p676,plain,
( ~ spl33
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p536,c10]) ).
cnf(sct41,plain,
( ~ spl33
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p676]) ).
cnf(p611,plain,
( ~ spl38
| ~ spl28
| e20 = e22 ),
inference(superposition,[status(thm)],[p452,p607]) ).
cnf(p679,plain,
( ~ spl38
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p611,c11]) ).
cnf(sct42,plain,
( ~ spl38
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p679]) ).
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(p687,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p508]) ).
cnf(sct43,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p687]) ).
cnf(p689,plain,
( ~ spl33
| ~ spl17
| e21 = e22 ),
inference(superposition,[status(thm)],[p532,p116]) ).
cnf(p691,plain,
( ~ spl33
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p689,c14]) ).
cnf(sct44,plain,
( ~ spl33
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p691]) ).
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(p692,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p518]) ).
cnf(sct45,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p692]) ).
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(sct46,plain,
( ~ spl38
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p697]) ).
cnf(p699,plain,
( ~ spl24
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p124,p120]) ).
cnf(p702,plain,
( ~ spl24
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p699,c13]) ).
cnf(p710,plain,
( ~ spl24
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p702]) ).
cnf(sct47,plain,
( ~ spl24
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p710]) ).
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(sct48,plain,
( ~ spl39
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p711]) ).
cnf(p713,plain,
( ~ spl39
| ~ spl23
| e22 = e23 ),
inference(superposition,[status(thm)],[p665,p123]) ).
cnf(p716,plain,
( ~ spl39
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p713,c17]) ).
cnf(sct49,plain,
( ~ spl39
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p716]) ).
cnf(p591,plain,
( ~ spl24
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p124,p122]) ).
cnf(p594,plain,
( ~ spl24
| ~ spl22
| e22 != e22 ),
inference(superposition,[status(thm)],[p591,c18]) ).
cnf(p717,plain,
( ~ spl24
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p594]) ).
cnf(sct50,plain,
( ~ spl24
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p717]) ).
cnf(p718,plain,
( ~ spl29
| h(e14) = e20 ),
inference(superposition,[status(thm)],[p130,c155]) ).
cnf(p721,plain,
( ~ spl29
| ~ spl22
| e20 = e22 ),
inference(superposition,[status(thm)],[p718,p122]) ).
cnf(p727,plain,
( ~ spl29
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p721,c11]) ).
cnf(sct51,plain,
( ~ spl29
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p727]) ).
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(sct52,plain,
( ~ spl39
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p730]) ).
cnf(p732,plain,
( ~ spl33
| ~ spl19
| e21 = e24 ),
inference(superposition,[status(thm)],[p532,p118]) ).
cnf(p738,plain,
( ~ spl33
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p732,c16]) ).
cnf(sct53,plain,
( ~ spl33
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p738]) ).
cnf(p742,plain,
( ~ spl29
| ~ spl21
| e20 = e21 ),
inference(superposition,[status(thm)],[p718,p121]) ).
cnf(p745,plain,
( ~ spl29
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p742,c10]) ).
cnf(sct54,plain,
( ~ spl29
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p745]) ).
cnf(p747,plain,
( ~ spl34
| ~ spl20
| e21 = e20 ),
inference(superposition,[status(thm)],[p583,p120]) ).
cnf(p748,plain,
( ~ spl34
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p747,c10]) ).
cnf(p752,plain,
( ~ spl34
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p748]) ).
cnf(sct55,plain,
( ~ spl34
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p752]) ).
cnf(p754,plain,
( ~ spl34
| ~ spl24
| e21 = e24 ),
inference(superposition,[status(thm)],[p583,p124]) ).
cnf(p761,plain,
( ~ spl34
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p754,c16]) ).
cnf(sct56,plain,
( ~ spl34
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p761]) ).
cnf(p461,plain,
( ~ spl27
| h(e12) = e20 ),
inference(superposition,[status(thm)],[p128,c155]) ).
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(p763,plain,
( ~ spl27
| ~ spl14
| e20 = e24 ),
inference(superposition,[status(thm)],[p461,p112]) ).
cnf(p773,plain,
( ~ spl27
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p763,c13]) ).
cnf(sct57,plain,
( ~ spl27
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p773]) ).
cnf(p542,plain,
( ~ spl32
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p134,c156]) ).
cnf(p765,plain,
( ~ spl32
| ~ spl14
| e21 = e24 ),
inference(superposition,[status(thm)],[p542,p112]) ).
cnf(p779,plain,
( ~ spl32
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p765,c16]) ).
cnf(sct58,plain,
( ~ spl32
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p779]) ).
cnf(p618,plain,
( ~ spl37
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p140,c157]) ).
cnf(p767,plain,
( ~ spl37
| ~ spl14
| e22 = e24 ),
inference(superposition,[status(thm)],[p618,p112]) ).
cnf(p784,plain,
( ~ spl37
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p767,c18]) ).
cnf(sct59,plain,
( ~ spl37
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p784]) ).
cnf(c158,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p798,plain,
( ~ spl43
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p147,c158]) ).
cnf(p800,plain,
( ~ spl43
| ~ spl15
| e20 = e23 ),
inference(superposition,[status(thm)],[p114,p798]) ).
cnf(c12,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p810,plain,
( ~ spl43
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p800,c12]) ).
cnf(sct60,plain,
( ~ spl43
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p810]) ).
cnf(c159,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p876,plain,
( ~ spl48
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p153,c159]) ).
cnf(p878,plain,
( ~ spl48
| ~ spl15
| e20 = e24 ),
inference(superposition,[status(thm)],[p114,p876]) ).
cnf(p888,plain,
( ~ spl48
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p878,c13]) ).
cnf(sct61,plain,
( ~ spl48
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p888]) ).
cnf(p890,plain,
( ~ spl49
| ~ spl47
| e14 = e12 ),
inference(superposition,[status(thm)],[p154,p152]) ).
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(p897,plain,
( ~ spl49
| ~ spl47
| e13 = e11 ),
inference(superposition,[status(thm)],[p890,c59]) ).
cnf(c54,plain,
op1(e11,e14) = e13,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p895,plain,
( ~ spl49
| ~ spl47
| e10 = e13 ),
inference(superposition,[status(thm)],[p890,c54]) ).
cnf(p898,plain,
( ~ spl49
| ~ spl47
| e10 = e11 ),
inference(demodulation,[status(thm)],[p897,p895]) ).
cnf(p913,plain,
( ~ spl49
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p898,c0]) ).
cnf(sct62,plain,
( ~ spl49
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p913]) ).
cnf(p926,plain,
( ~ spl49
| ~ spl46
| e14 = e11 ),
inference(superposition,[status(thm)],[p154,p151]) ).
cnf(p928,plain,
( ~ spl49
| ~ spl46
| e11 != e11 ),
inference(superposition,[status(thm)],[p926,c6]) ).
cnf(p939,plain,
( ~ spl49
| ~ spl46
| $false ),
inference(equality_resolution,[status(thm)],[p928]) ).
cnf(sct63,plain,
( ~ spl49
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p939]) ).
cnf(p962,plain,
( ~ spl49
| ~ spl45
| e14 = e10 ),
inference(superposition,[status(thm)],[p154,p150]) ).
cnf(p964,plain,
( ~ spl49
| ~ spl45
| e10 != e10 ),
inference(superposition,[status(thm)],[p962,c3]) ).
cnf(p976,plain,
( ~ spl49
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p964]) ).
cnf(sct64,plain,
( ~ spl49
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p976]) ).
cnf(p989,plain,
( ~ spl49
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p154,c159]) ).
cnf(p991,plain,
( ~ spl49
| ~ spl21
| e21 = e24 ),
inference(superposition,[status(thm)],[p121,p989]) ).
cnf(p1007,plain,
( ~ spl49
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p991,c16]) ).
cnf(sct65,plain,
( ~ spl49
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p1007]) ).
cnf(p880,plain,
( ~ spl48
| ~ spl28
| e20 = e24 ),
inference(superposition,[status(thm)],[p452,p876]) ).
cnf(p1018,plain,
( ~ spl48
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p880,c13]) ).
cnf(sct66,plain,
( ~ spl48
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1018]) ).
cnf(p1020,plain,
( ~ spl48
| ~ spl16
| e24 = e21 ),
inference(superposition,[status(thm)],[p876,p115]) ).
cnf(p1021,plain,
( ~ spl48
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1020,c16]) ).
cnf(p1034,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1021]) ).
cnf(sct67,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1034]) ).
cnf(p1036,plain,
( ~ spl49
| ~ spl20
| e24 = e20 ),
inference(superposition,[status(thm)],[p989,p120]) ).
cnf(p1037,plain,
( ~ spl49
| ~ spl20
| e20 != e20 ),
inference(superposition,[status(thm)],[p1036,c13]) ).
cnf(p1048,plain,
( ~ spl49
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1037]) ).
cnf(sct68,plain,
( ~ spl49
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1048]) ).
cnf(p1050,plain,
( ~ spl29
| ~ spl23
| e20 = e23 ),
inference(superposition,[status(thm)],[p718,p123]) ).
cnf(p1067,plain,
( ~ spl29
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p1050,c12]) ).
cnf(sct69,plain,
( ~ spl29
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1067]) ).
cnf(p756,plain,
( ~ spl29
| ~ spl24
| e20 = e24 ),
inference(superposition,[status(thm)],[p718,p124]) ).
cnf(p1078,plain,
( ~ spl29
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p756,c13]) ).
cnf(sct70,plain,
( ~ spl29
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1078]) ).
cnf(p555,plain,
( ~ spl31
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p133,c156]) ).
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(p1082,plain,
( ~ spl31
| ~ spl9
| e21 = e24 ),
inference(superposition,[status(thm)],[p555,p106]) ).
cnf(p1110,plain,
( ~ spl31
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1082,c16]) ).
cnf(sct71,plain,
( ~ spl31
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1110]) ).
cnf(p634,plain,
( ~ spl36
| h(e11) = e22 ),
inference(superposition,[status(thm)],[p139,c157]) ).
cnf(p1083,plain,
( ~ spl36
| ~ spl9
| e24 = e22 ),
inference(superposition,[status(thm)],[p106,p634]) ).
fof(f4,axiom,
( op2(e24,e24) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e21
& op2(e23,e23) = e24
& op2(e23,e22) = e20
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e21
& op2(e22,e22) = e24
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e22
& op2(e21,e23) = e20
& op2(e21,e22) = e23
& op2(e21,e21) = e24
& 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) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e21
& op2(e23,e23) = e24
& op2(e23,e22) = e20
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e21
& op2(e22,e22) = e24
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e22
& op2(e21,e23) = e20
& op2(e21,e22) = e23
& op2(e21,e21) = e24
& 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) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e21
& op2(e23,e23) = e24
& op2(e23,e22) = e20
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e21
& op2(e22,e22) = e24
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e22
& op2(e21,e23) = e20
& op2(e21,e22) = e23
& op2(e21,e21) = e24
& 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(c89,plain,
op2(e23,e24) = e21,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1115,plain,
( ~ spl36
| ~ spl9
| e20 = e21 ),
inference(superposition,[status(thm)],[p1083,c89]) ).
cnf(p1123,plain,
( ~ spl36
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1115,c10]) ).
cnf(sct72,plain,
( ~ spl36
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1123]) ).
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(p1142,plain,
( ~ spl3
| e23 = e24 ),
inference(superposition,[status(thm)],[p99,c105]) ).
cnf(p1145,plain,
( ~ spl3
| $false ),
inference(resolution,[status(thm)],[p1142,c19]) ).
cnf(sct73,plain,
~ spl3,
inference(avatar_contradiction_clause,[status(thm)],[p1145]) ).
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(p1167,plain,
( ~ spl2
| e22 = e24 ),
inference(superposition,[status(thm)],[p98,c105]) ).
cnf(p1221,plain,
( ~ spl2
| $false ),
inference(resolution,[status(thm)],[p1167,c18]) ).
cnf(sct74,plain,
~ spl2,
inference(avatar_contradiction_clause,[status(thm)],[p1221]) ).
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(p1247,plain,
( ~ spl1
| e21 = e24 ),
inference(superposition,[status(thm)],[p97,c105]) ).
cnf(p1300,plain,
( ~ spl1
| $false ),
inference(resolution,[status(thm)],[p1247,c16]) ).
cnf(sct75,plain,
~ spl1,
inference(avatar_contradiction_clause,[status(thm)],[p1300]) ).
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(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(p228,plain,
( ~ spl4
| ~ spl0
| e20 = e24 ),
inference(superposition,[status(thm)],[p96,p100]) ).
cnf(p1312,plain,
( ~ spl4
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p228,c13]) ).
cnf(sct76,plain,
( ~ spl4
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1312]) ).
cnf(p569,plain,
( ~ spl30
| h(e10) = e21 ),
inference(superposition,[status(thm)],[p132,c156]) ).
cnf(p1314,plain,
( ~ spl30
| ~ spl0
| e21 = e20 ),
inference(superposition,[status(thm)],[p569,p96]) ).
cnf(p1330,plain,
( ~ spl30
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1314,c10]) ).
cnf(p1365,plain,
( ~ spl30
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1330]) ).
cnf(sct77,plain,
( ~ spl30
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1365]) ).
cnf(p650,plain,
( ~ spl35
| h(e10) = e22 ),
inference(superposition,[status(thm)],[p138,c157]) ).
cnf(p1316,plain,
( ~ spl35
| ~ spl0
| e22 = e20 ),
inference(superposition,[status(thm)],[p650,p96]) ).
cnf(p1340,plain,
( ~ spl35
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1316,c11]) ).
cnf(p1368,plain,
( ~ spl35
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1340]) ).
cnf(sct78,plain,
( ~ spl35
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1368]) ).
cnf(p963,plain,
( ~ spl45
| h(e10) = e24 ),
inference(superposition,[status(thm)],[p150,c159]) ).
cnf(p1318,plain,
( ~ spl45
| ~ spl0
| e24 = e20 ),
inference(superposition,[status(thm)],[p963,p96]) ).
cnf(p1354,plain,
( ~ spl45
| ~ spl0
| e20 != e20 ),
inference(superposition,[status(thm)],[p1318,c13]) ).
cnf(p1369,plain,
( ~ spl45
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1354]) ).
cnf(sct79,plain,
( ~ spl45
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1369]) ).
cnf(p1386,plain,
( ~ spl43
| ~ spl16
| e23 = e21 ),
inference(superposition,[status(thm)],[p798,p115]) ).
cnf(c87,plain,
op2(e23,e22) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1395,plain,
( ~ spl43
| ~ spl16
| e21 = e20 ),
inference(superposition,[status(thm)],[p1386,c87]) ).
cnf(p1388,plain,
( ~ spl43
| ~ spl16
| e21 != e21 ),
inference(superposition,[status(thm)],[p1386,c15]) ).
cnf(p1397,plain,
( ~ spl43
| ~ spl16
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1395,p1388]) ).
cnf(p1427,plain,
( ~ spl43
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1397]) ).
cnf(sct80,plain,
( ~ spl43
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1427]) ).
cnf(p1429,plain,
( ~ spl49
| ~ spl22
| e24 = e22 ),
inference(superposition,[status(thm)],[p989,p122]) ).
cnf(p1441,plain,
( ~ spl49
| ~ spl22
| e20 = e21 ),
inference(superposition,[status(thm)],[p1429,c89]) ).
cnf(p1449,plain,
( ~ spl49
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p1441,c10]) ).
cnf(sct81,plain,
( ~ spl49
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1449]) ).
cnf(p1450,plain,
( ~ spl39
| ~ spl24
| e24 = e22 ),
inference(superposition,[status(thm)],[p124,p665]) ).
cnf(p1458,plain,
( ~ spl39
| ~ spl24
| e20 = e21 ),
inference(superposition,[status(thm)],[p1450,c89]) ).
cnf(p1471,plain,
( ~ spl39
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p1458,c10]) ).
cnf(sct82,plain,
( ~ spl39
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1471]) ).
cnf(p1473,plain,
( ~ spl43
| ~ spl17
| e23 = e22 ),
inference(superposition,[status(thm)],[p798,p116]) ).
cnf(c78,plain,
op2(e21,e23) = e20,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1480,plain,
( ~ spl43
| ~ spl17
| e22 = e20 ),
inference(superposition,[status(thm)],[p1473,c78]) ).
cnf(p1478,plain,
( ~ spl43
| ~ spl17
| e22 != e22 ),
inference(superposition,[status(thm)],[p1473,c17]) ).
cnf(p1482,plain,
( ~ spl43
| ~ spl17
| e20 != e20 ),
inference(demodulation,[status(thm)],[p1480,p1478]) ).
cnf(p1512,plain,
( ~ spl43
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p1482]) ).
cnf(sct83,plain,
( ~ spl43
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1512]) ).
cnf(p1475,plain,
( ~ spl48
| ~ spl17
| e24 = e22 ),
inference(superposition,[status(thm)],[p876,p116]) ).
cnf(p1489,plain,
( ~ spl48
| ~ spl17
| e20 = e21 ),
inference(superposition,[status(thm)],[p1475,c89]) ).
cnf(p1513,plain,
( ~ spl48
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p1489,c10]) ).
cnf(sct84,plain,
( ~ spl48
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1513]) ).
cnf(p733,plain,
( ~ spl38
| ~ spl19
| e24 = e22 ),
inference(superposition,[status(thm)],[p118,p607]) ).
cnf(p1518,plain,
( ~ spl38
| ~ spl19
| e20 = e21 ),
inference(superposition,[status(thm)],[p733,c89]) ).
cnf(p1528,plain,
( ~ spl38
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p1518,c10]) ).
cnf(sct85,plain,
( ~ spl38
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p1528]) ).
cnf(p813,plain,
( ~ spl42
| h(e12) = e23 ),
inference(superposition,[status(thm)],[p146,c158]) ).
cnf(p1529,plain,
( ~ spl42
| ~ spl14
| e24 = e23 ),
inference(superposition,[status(thm)],[p112,p813]) ).
cnf(c79,plain,
op2(e21,e24) = e22,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1537,plain,
( ~ spl42
| ~ spl14
| e20 = e22 ),
inference(superposition,[status(thm)],[p1529,c79]) ).
cnf(p1543,plain,
( ~ spl42
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p1537,c11]) ).
cnf(sct86,plain,
( ~ spl42
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p1543]) ).
cnf(p1052,plain,
( ~ spl49
| ~ spl23
| e24 = e23 ),
inference(superposition,[status(thm)],[p989,p123]) ).
cnf(p1655,plain,
( ~ spl49
| ~ spl23
| e20 = e22 ),
inference(superposition,[status(thm)],[p1052,c79]) ).
cnf(p1661,plain,
( ~ spl49
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p1655,c11]) ).
cnf(sct87,plain,
( ~ spl49
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1661]) ).
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(p1707,plain,
( ~ spl8
| h(e13) = e22 ),
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(p1366,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(p1586,plain,
( ~ spl8
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p1366,c114]) ).
cnf(p1708,plain,
( ~ spl8
| e22 = e21 ),
inference(demodulation,[status(thm)],[p1707,p1586]) ).
cnf(c82,plain,
op2(e22,e22) = e24,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p1725,plain,
( ~ spl8
| e20 = e24 ),
inference(superposition,[status(thm)],[p1708,c82]) ).
cnf(p1782,plain,
( ~ spl8
| $false ),
inference(resolution,[status(thm)],[p1725,c13]) ).
cnf(sct88,plain,
~ spl8,
inference(avatar_contradiction_clause,[status(thm)],[p1782]) ).
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(p1526,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(p1894,plain,
( ~ spl13
| h(e14) = e22 ),
inference(superposition,[status(thm)],[p1526,c122]) ).
cnf(c118,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p1887,plain,
( ~ spl13
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p1526,c118]) ).
cnf(p1895,plain,
( ~ spl13
| e22 = e21 ),
inference(demodulation,[status(thm)],[p1894,p1887]) ).
cnf(p1935,plain,
( ~ spl13
| e20 = e24 ),
inference(superposition,[status(thm)],[p1895,c82]) ).
cnf(p1973,plain,
( ~ spl13
| $false ),
inference(resolution,[status(thm)],[p1935,c13]) ).
cnf(sct89,plain,
~ spl13,
inference(avatar_contradiction_clause,[status(thm)],[p1973]) ).
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(p863,plain,
( ~ spl41
| h(e11) = e23 ),
inference(superposition,[status(thm)],[p145,c158]) ).
cnf(p1712,plain,
( ~ spl41
| h(e13) = e22 ),
inference(superposition,[status(thm)],[p863,c126]) ).
cnf(p1565,plain,
( ~ spl41
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p863,c111]) ).
cnf(p1700,plain,
( ~ spl41
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p1565,c114]) ).
cnf(p1713,plain,
( ~ spl41
| e22 = e21 ),
inference(demodulation,[status(thm)],[p1712,p1700]) ).
cnf(p1747,plain,
( ~ spl41
| e20 = e24 ),
inference(superposition,[status(thm)],[p1713,c82]) ).
cnf(p2000,plain,
( ~ spl41
| $false ),
inference(resolution,[status(thm)],[p1747,c13]) ).
cnf(sct90,plain,
~ spl41,
inference(avatar_contradiction_clause,[status(thm)],[p2000]) ).
cnf(p2120,plain,
( ~ spl43
| ~ spl19
| e24 = e23 ),
inference(superposition,[status(thm)],[p118,p798]) ).
cnf(p2134,plain,
( ~ spl43
| ~ spl19
| e20 = e22 ),
inference(superposition,[status(thm)],[p2120,c79]) ).
cnf(p2144,plain,
( ~ spl43
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p2134,c11]) ).
cnf(sct91,plain,
( ~ spl43
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2144]) ).
cnf(p2203,plain,
( ~ spl23
| ~ spl20
| e20 = e23 ),
inference(superposition,[status(thm)],[p120,p123]) ).
cnf(p2231,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p2203,c12]) ).
cnf(sct92,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p2231]) ).
cnf(p1535,plain,
( ~ spl14
| h(e13) = e20 ),
inference(superposition,[status(thm)],[p112,c117]) ).
cnf(p2314,plain,
( ~ spl16
| ~ spl14
| e20 = e21 ),
inference(superposition,[status(thm)],[p1535,p115]) ).
cnf(p2352,plain,
( ~ spl16
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p2314,c10]) ).
cnf(sct93,plain,
( ~ spl16
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p2352]) ).
cnf(p891,plain,
( ~ spl47
| h(e12) = e24 ),
inference(superposition,[status(thm)],[p152,c159]) ).
cnf(p2387,plain,
( ~ spl47
| ~ spl11
| e21 = e24 ),
inference(superposition,[status(thm)],[p109,p891]) ).
cnf(p2409,plain,
( ~ spl47
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2387,c16]) ).
cnf(sct94,plain,
( ~ spl47
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2409]) ).
fof(sdef26,definition,
( spl26
<=> j(e20) = e11 ),
introduced(definition,[new_symbols(naming,[spl26])],[avatar_definition]) ).
cnf(p127,plain,
( ~ spl26
| j(e20) = e11 ),
inference(avatar_component_clause,[status(thm)],[sdef26]) ).
cnf(c130,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2416,plain,
( ~ spl26
| e11 = e14 ),
inference(superposition,[status(thm)],[p127,c130]) ).
cnf(p2424,plain,
( ~ spl26
| $false ),
inference(resolution,[status(thm)],[p2416,c6]) ).
cnf(sct95,plain,
~ spl26,
inference(avatar_contradiction_clause,[status(thm)],[p2424]) ).
cnf(p2427,plain,
( ~ spl27
| ~ spl25
| e10 = e12 ),
inference(superposition,[status(thm)],[p126,p128]) ).
cnf(c1,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2449,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p2427,c1]) ).
cnf(sct96,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2449]) ).
cnf(p2470,plain,
( ~ spl42
| ~ spl32
| e23 = e21 ),
inference(superposition,[status(thm)],[p813,p542]) ).
cnf(p2487,plain,
( ~ spl42
| ~ spl32
| e21 = e20 ),
inference(superposition,[status(thm)],[p2470,c87]) ).
cnf(p2481,plain,
( ~ spl42
| ~ spl32
| e21 != e21 ),
inference(superposition,[status(thm)],[p2470,c15]) ).
cnf(p2490,plain,
( ~ spl42
| ~ spl32
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2487,p2481]) ).
cnf(p2534,plain,
( ~ spl42
| ~ spl32
| $false ),
inference(equality_resolution,[status(thm)],[p2490]) ).
cnf(sct97,plain,
( ~ spl42
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2534]) ).
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(p1792,plain,
( ~ spl7
| h(e14) = e24 ),
inference(superposition,[status(thm)],[p104,c111]) ).
cnf(p2562,plain,
( ~ spl7
| h(e13) = e21 ),
inference(superposition,[status(thm)],[p1792,c126]) ).
cnf(p2554,plain,
( ~ spl7
| h(e13) = e23 ),
inference(superposition,[status(thm)],[p1792,c114]) ).
cnf(p2563,plain,
( ~ spl7
| e21 = e23 ),
inference(demodulation,[status(thm)],[p2562,p2554]) ).
cnf(p2587,plain,
( ~ spl7
| $false ),
inference(resolution,[status(thm)],[p2563,c15]) ).
cnf(sct98,plain,
~ spl7,
inference(avatar_contradiction_clause,[status(thm)],[p2587]) ).
cnf(p2589,plain,
( ~ spl36
| ~ spl6
| e22 = e21 ),
inference(superposition,[status(thm)],[p634,p103]) ).
cnf(p2608,plain,
( ~ spl36
| ~ spl6
| e20 = e24 ),
inference(superposition,[status(thm)],[p2589,c82]) ).
cnf(p2685,plain,
( ~ spl36
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p2608,c13]) ).
cnf(sct99,plain,
( ~ spl36
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2685]) ).
cnf(p927,plain,
( ~ spl46
| h(e11) = e24 ),
inference(superposition,[status(thm)],[p151,c159]) ).
cnf(p2591,plain,
( ~ spl46
| ~ spl6
| e24 = e21 ),
inference(superposition,[status(thm)],[p927,p103]) ).
cnf(p2616,plain,
( ~ spl46
| ~ spl6
| e21 != e21 ),
inference(superposition,[status(thm)],[p2591,c16]) ).
cnf(p2686,plain,
( ~ spl46
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p2616]) ).
cnf(sct100,plain,
( ~ spl46
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2686]) ).
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(p1666,plain,
( ~ spl12
| h(e13) = e24 ),
inference(superposition,[status(thm)],[p110,c117]) ).
cnf(p2757,plain,
( ~ spl12
| h(e14) = e21 ),
inference(superposition,[status(thm)],[p1666,c122]) ).
cnf(p2750,plain,
( ~ spl12
| h(e14) = e23 ),
inference(superposition,[status(thm)],[p1666,c118]) ).
cnf(p2758,plain,
( ~ spl12
| e21 = e23 ),
inference(demodulation,[status(thm)],[p2757,p2750]) ).
cnf(p2785,plain,
( ~ spl12
| $false ),
inference(resolution,[status(thm)],[p2758,c15]) ).
cnf(sct101,plain,
~ spl12,
inference(avatar_contradiction_clause,[status(thm)],[p2785]) ).
cnf(p838,plain,
( ~ spl42
| ~ spl37
| e23 = e22 ),
inference(superposition,[status(thm)],[p813,p618]) ).
cnf(p848,plain,
( ~ spl42
| ~ spl37
| e22 = e20 ),
inference(superposition,[status(thm)],[p838,c78]) ).
cnf(p847,plain,
( ~ spl42
| ~ spl37
| e22 != e22 ),
inference(superposition,[status(thm)],[p838,c17]) ).
cnf(p851,plain,
( ~ spl42
| ~ spl37
| e20 != e20 ),
inference(demodulation,[status(thm)],[p848,p847]) ).
cnf(p2813,plain,
( ~ spl42
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p851]) ).
cnf(sct102,plain,
( ~ spl42
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2813]) ).
cnf(p2816,plain,
( ~ spl37
| ~ spl11
| e22 = e21 ),
inference(superposition,[status(thm)],[p618,p109]) ).
cnf(p2824,plain,
( ~ spl37
| ~ spl11
| e20 = e24 ),
inference(superposition,[status(thm)],[p2816,c82]) ).
cnf(p2849,plain,
( ~ spl37
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p2824,c13]) ).
cnf(sct103,plain,
( ~ spl37
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2849]) ).
cnf(p2879,plain,
( ~ spl42
| ~ spl11
| e23 = e21 ),
inference(superposition,[status(thm)],[p813,p109]) ).
cnf(p2887,plain,
( ~ spl42
| ~ spl11
| e21 = e20 ),
inference(superposition,[status(thm)],[p2879,c87]) ).
cnf(p2881,plain,
( ~ spl42
| ~ spl11
| e21 != e21 ),
inference(superposition,[status(thm)],[p2879,c15]) ).
cnf(p2890,plain,
( ~ spl42
| ~ spl11
| e20 != e20 ),
inference(demodulation,[status(thm)],[p2887,p2881]) ).
cnf(p2923,plain,
( ~ spl42
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p2890]) ).
cnf(sct104,plain,
( ~ spl42
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2923]) ).
cnf(p2939,plain,
( ~ spl17
| ~ spl14
| e20 = e22 ),
inference(superposition,[status(thm)],[p1535,p116]) ).
cnf(p2966,plain,
( ~ spl17
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p2939,c11]) ).
cnf(sct105,plain,
( ~ spl17
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p2966]) ).
cnf(p916,plain,
( ~ spl47
| ~ spl37
| e24 = e22 ),
inference(superposition,[status(thm)],[p891,p618]) ).
cnf(p2971,plain,
( ~ spl47
| ~ spl37
| e20 = e21 ),
inference(superposition,[status(thm)],[p916,c89]) ).
cnf(p2980,plain,
( ~ spl47
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p2971,c10]) ).
cnf(sct106,plain,
( ~ spl47
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2980]) ).
cnf(p2983,plain,
( ~ spl37
| ~ spl10
| e20 = e22 ),
inference(superposition,[status(thm)],[p108,p618]) ).
cnf(p3025,plain,
( ~ spl37
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p2983,c11]) ).
cnf(sct107,plain,
( ~ spl37
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3025]) ).
cnf(p3033,plain,
( ~ spl42
| ~ spl10
| e20 = e23 ),
inference(superposition,[status(thm)],[p108,p813]) ).
cnf(p3068,plain,
( ~ spl42
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p3033,c12]) ).
cnf(sct108,plain,
( ~ spl42
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3068]) ).
cnf(p3070,plain,
( ~ spl47
| ~ spl10
| e20 = e24 ),
inference(superposition,[status(thm)],[p108,p891]) ).
cnf(p3097,plain,
( ~ spl47
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p3070,c13]) ).
cnf(sct109,plain,
( ~ spl47
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3097]) ).
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(c123,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2103,plain,
( ~ spl18
| h(e11) = e24 ),
inference(superposition,[status(thm)],[p117,c123]) ).
cnf(c121,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p3213,plain,
( ~ spl18
| h(e12) = e21 ),
inference(superposition,[status(thm)],[p2103,c121]) ).
cnf(c113,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p3203,plain,
( ~ spl18
| h(e12) = e22 ),
inference(superposition,[status(thm)],[p2103,c113]) ).
cnf(p3214,plain,
( ~ spl18
| e21 = e22 ),
inference(demodulation,[status(thm)],[p3213,p3203]) ).
cnf(p3218,plain,
( ~ spl18
| $false ),
inference(resolution,[status(thm)],[p3214,c14]) ).
cnf(sct110,plain,
~ spl18,
inference(avatar_contradiction_clause,[status(thm)],[p3218]) ).
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(p1127,plain,
( ~ spl44
| h(e14) = e23 ),
inference(superposition,[status(thm)],[p148,c158]) ).
cnf(c129,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p2074,plain,
( ~ spl44
| h(e12) = e24 ),
inference(superposition,[status(thm)],[p1127,c129]) ).
cnf(c127,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p3149,plain,
( ~ spl44
| h(e11) = e21 ),
inference(superposition,[status(thm)],[p2074,c127]) ).
cnf(c119,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p3139,plain,
( ~ spl44
| h(e11) = e22 ),
inference(superposition,[status(thm)],[p2074,c119]) ).
cnf(p3150,plain,
( ~ spl44
| e21 = e22 ),
inference(demodulation,[status(thm)],[p3149,p3139]) ).
cnf(p3251,plain,
( ~ spl44
| $false ),
inference(resolution,[status(thm)],[p3150,c14]) ).
cnf(sct111,plain,
~ spl44,
inference(avatar_contradiction_clause,[status(thm)],[p3251]) ).
fof(sdef40,definition,
( spl40
<=> j(e23) = e10 ),
introduced(definition,[new_symbols(naming,[spl40])],[avatar_definition]) ).
cnf(p144,plain,
( ~ spl40
| j(e23) = e10 ),
inference(avatar_component_clause,[status(thm)],[sdef40]) ).
cnf(p1141,plain,
( ~ spl40
| h(e10) = e23 ),
inference(superposition,[status(thm)],[p144,c158]) ).
cnf(p2031,plain,
( ~ spl40
| e23 = e24 ),
inference(superposition,[status(thm)],[p1141,c105]) ).
cnf(p3274,plain,
( ~ spl40
| $false ),
inference(resolution,[status(thm)],[p2031,c19]) ).
cnf(sct112,plain,
~ spl40,
inference(avatar_contradiction_clause,[status(thm)],[p3274]) ).
cnf(c95,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp0,plain,
( spl4
| spl3
| spl2
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c95,sdef0,sdef1,sdef2,sdef3,sdef4]) ).
cnf(c96,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp1,plain,
( spl9
| spl8
| spl7
| spl6
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c96,sdef5,sdef6,sdef7,sdef8,sdef9]) ).
cnf(c97,plain,
( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp2,plain,
( spl14
| spl13
| spl12
| spl11
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c97,sdef10,sdef11,sdef12,sdef13,sdef14]) ).
cnf(c98,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp3,plain,
( spl19
| spl18
| spl17
| spl16
| spl15 ),
inference(avatar_split_clause,[status(thm)],[c98,sdef15,sdef16,sdef17,sdef18,sdef19]) ).
cnf(c99,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp4,plain,
( spl24
| spl23
| spl22
| spl21
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c99,sdef20,sdef21,sdef22,sdef23,sdef24]) ).
cnf(c100,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp5,plain,
( spl29
| spl28
| spl27
| spl26
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c100,sdef25,sdef26,sdef27,sdef28,sdef29]) ).
cnf(c101,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp6,plain,
( spl34
| spl33
| spl32
| spl31
| spl30 ),
inference(avatar_split_clause,[status(thm)],[c101,sdef30,sdef31,sdef32,sdef33,sdef34]) ).
cnf(c102,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp7,plain,
( spl39
| spl38
| spl37
| spl36
| spl35 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef35,sdef36,sdef37,sdef38,sdef39]) ).
cnf(c103,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp8,plain,
( spl44
| spl43
| spl42
| spl41
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef40,sdef41,sdef42,sdef43,sdef44]) ).
cnf(c104,plain,
( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp9,plain,
( spl49
| spl48
| spl47
| spl46
| spl45 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef45,sdef46,sdef47,sdef48,sdef49]) ).
cnf(sat_ref,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,ssp3,ssp4,ssp5,ssp6,ssp7,ssp8,ssp9,sct0,sct1,sct2,sct3,sct4,sct5,sct6,sct7,sct8,sct9,sct10,sct11,sct12,sct13,sct14,sct15,sct16,sct17,sct18,sct19,sct20,sct21,sct22,sct23,sct24,sct25,sct26,sct27,sct28,sct29,sct30,sct31,sct32,sct33,sct34,sct35,sct36,sct37,sct38,sct39,sct40,sct41,sct42,sct43,sct44,sct45,sct46,sct47,sct48,sct49,sct50,sct51,sct52,sct53,sct54,sct55,sct56,sct57,sct58,sct59,sct60,sct61,sct62,sct63,sct64,sct65,sct66,sct67,sct68,sct69,sct70,sct71,sct72,sct73,sct74,sct75,sct76,sct77,sct78,sct79,sct80,sct81,sct82,sct83,sct84,sct85,sct86,sct87,sct88,sct89,sct90,sct91,sct92,sct93,sct94,sct95,sct96,sct97,sct98,sct99,sct100,sct101,sct102,sct103,sct104,sct105,sct106,sct107,sct108,sct109,sct110,sct111,sct112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG082+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Fri Sep 25 04:48:55 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 36.22/5.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.22/5.22 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------