%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG135+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:51:42 PM UTC 2026
% Result : Unsatisfiable 113.69s 14.98s
% Output : Proof 113.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 145
% Syntax : Number of formulae : 1357 ( 25 unt; 116 def)
% Number of atoms : 4998 (2139 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6574 (2933 ~;3126 |; 399 &)
% ( 116 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 118 ( 116 usr; 117 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sdef0,definition,
( spl0
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl0])],[avatar_definition]) ).
cnf(p1,plain,
( ~ spl0
| op(e0,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef0]) ).
fof(sdef1,definition,
( spl1
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl1])],[avatar_definition]) ).
cnf(p2,plain,
( ~ spl1
| op(e0,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef1]) ).
cnf(p307,plain,
( ~ spl1
| ~ spl0
| e0 = e1 ),
inference(superposition,[status(thm)],[p1,p2]) ).
fof(f3,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3_nnf,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c96,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p313,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p307,c96]) ).
cnf(sct0,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p313]) ).
fof(sdef2,definition,
( spl2
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl2])],[avatar_definition]) ).
cnf(p3,plain,
( ~ spl2
| op(e0,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef2]) ).
cnf(p312,plain,
( ~ spl2
| ~ spl1
| e1 = e2 ),
inference(superposition,[status(thm)],[p2,p3]) ).
cnf(c99,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p315,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p312,c99]) ).
cnf(sct1,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p315]) ).
fof(sdef3,definition,
( spl3
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl3])],[avatar_definition]) ).
cnf(p4,plain,
( ~ spl3
| op(e0,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef3]) ).
cnf(p317,plain,
( ~ spl3
| ~ spl2
| e2 = e3 ),
inference(superposition,[status(thm)],[p3,p4]) ).
cnf(c101,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p319,plain,
( ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p317,c101]) ).
cnf(sct2,plain,
( ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p319]) ).
fof(sdef4,definition,
( spl4
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl4])],[avatar_definition]) ).
cnf(p6,plain,
( ~ spl4
| op(e0,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef4]) ).
fof(sdef5,definition,
( spl5
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).
cnf(p7,plain,
( ~ spl5
| op(e0,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef5]) ).
cnf(p321,plain,
( ~ spl5
| ~ spl4
| e0 = e1 ),
inference(superposition,[status(thm)],[p6,p7]) ).
cnf(p329,plain,
( ~ spl5
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p321,c96]) ).
cnf(sct3,plain,
( ~ spl5
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p329]) ).
fof(sdef6,definition,
( spl6
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).
cnf(p8,plain,
( ~ spl6
| op(e0,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef6]) ).
cnf(p327,plain,
( ~ spl6
| ~ spl5
| e1 = e2 ),
inference(superposition,[status(thm)],[p7,p8]) ).
cnf(p331,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p327,c99]) ).
cnf(sct4,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p331]) ).
fof(sdef7,definition,
( spl7
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl7])],[avatar_definition]) ).
cnf(p9,plain,
( ~ spl7
| op(e0,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef7]) ).
cnf(p333,plain,
( ~ spl7
| ~ spl6
| e2 = e3 ),
inference(superposition,[status(thm)],[p8,p9]) ).
cnf(p335,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p333,c101]) ).
cnf(sct5,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p335]) ).
fof(sdef8,definition,
( spl8
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl8])],[avatar_definition]) ).
cnf(p11,plain,
( ~ spl8
| op(e0,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef8]) ).
fof(sdef9,definition,
( spl9
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl9])],[avatar_definition]) ).
cnf(p12,plain,
( ~ spl9
| op(e0,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef9]) ).
cnf(p337,plain,
( ~ spl9
| ~ spl8
| e0 = e1 ),
inference(superposition,[status(thm)],[p11,p12]) ).
cnf(p344,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p337,c96]) ).
cnf(sct6,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p344]) ).
fof(sdef10,definition,
( spl10
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl10])],[avatar_definition]) ).
cnf(p13,plain,
( ~ spl10
| op(e0,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef10]) ).
cnf(p341,plain,
( ~ spl10
| ~ spl8
| e0 = e2 ),
inference(superposition,[status(thm)],[p11,p13]) ).
cnf(c97,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p348,plain,
( ~ spl10
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p341,c97]) ).
cnf(sct7,plain,
( ~ spl10
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p348]) ).
fof(sdef11,definition,
( spl11
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl11])],[avatar_definition]) ).
cnf(p14,plain,
( ~ spl11
| op(e0,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef11]) ).
cnf(p352,plain,
( ~ spl11
| ~ spl8
| e0 = e3 ),
inference(superposition,[status(thm)],[p11,p14]) ).
cnf(c98,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p360,plain,
( ~ spl11
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p352,c98]) ).
cnf(sct8,plain,
( ~ spl11
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p360]) ).
cnf(p350,plain,
( ~ spl7
| ~ spl5
| e3 = e1 ),
inference(superposition,[status(thm)],[p9,p7]) ).
cnf(c100,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p353,plain,
( ~ spl7
| ~ spl5
| e1 != e1 ),
inference(superposition,[status(thm)],[p350,c100]) ).
cnf(p361,plain,
( ~ spl7
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p353]) ).
cnf(sct9,plain,
( ~ spl7
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p361]) ).
fof(sdef12,definition,
( spl12
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl12])],[avatar_definition]) ).
cnf(p16,plain,
( ~ spl12
| op(e0,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef12]) ).
fof(sdef13,definition,
( spl13
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl13])],[avatar_definition]) ).
cnf(p17,plain,
( ~ spl13
| op(e0,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef13]) ).
cnf(p363,plain,
( ~ spl13
| ~ spl12
| e0 = e1 ),
inference(superposition,[status(thm)],[p16,p17]) ).
cnf(p366,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p363,c96]) ).
cnf(sct10,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p366]) ).
fof(sdef14,definition,
( spl14
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl14])],[avatar_definition]) ).
cnf(p18,plain,
( ~ spl14
| op(e0,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef14]) ).
cnf(p368,plain,
( ~ spl14
| ~ spl13
| e1 = e2 ),
inference(superposition,[status(thm)],[p17,p18]) ).
cnf(p375,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p368,c99]) ).
cnf(sct11,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p375]) ).
fof(sdef15,definition,
( spl15
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl15])],[avatar_definition]) ).
cnf(p19,plain,
( ~ spl15
| op(e0,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef15]) ).
cnf(p372,plain,
( ~ spl15
| ~ spl14
| e2 = e3 ),
inference(superposition,[status(thm)],[p18,p19]) ).
cnf(p378,plain,
( ~ spl15
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p372,c101]) ).
cnf(sct12,plain,
( ~ spl15
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p378]) ).
cnf(p370,plain,
( ~ spl15
| ~ spl13
| e1 = e3 ),
inference(superposition,[status(thm)],[p17,p19]) ).
cnf(p382,plain,
( ~ spl15
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p370,c100]) ).
cnf(sct13,plain,
( ~ spl15
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p382]) ).
cnf(p384,plain,
( ~ spl15
| ~ spl12
| e3 = e0 ),
inference(superposition,[status(thm)],[p19,p16]) ).
cnf(p385,plain,
( ~ spl15
| ~ spl12
| e0 != e0 ),
inference(superposition,[status(thm)],[p384,c98]) ).
cnf(p391,plain,
( ~ spl15
| ~ spl12
| $false ),
inference(equality_resolution,[status(thm)],[p385]) ).
cnf(sct14,plain,
( ~ spl15
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p391]) ).
fof(sdef16,definition,
( spl16
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl16])],[avatar_definition]) ).
cnf(p21,plain,
( ~ spl16
| op(e1,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef16]) ).
fof(sdef17,definition,
( spl17
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl17])],[avatar_definition]) ).
cnf(p22,plain,
( ~ spl17
| op(e1,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef17]) ).
cnf(p390,plain,
( ~ spl17
| ~ spl16
| e0 = e1 ),
inference(superposition,[status(thm)],[p21,p22]) ).
cnf(p395,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p390,c96]) ).
cnf(sct15,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p395]) ).
fof(sdef18,definition,
( spl18
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl18])],[avatar_definition]) ).
cnf(p23,plain,
( ~ spl18
| op(e1,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef18]) ).
cnf(p397,plain,
( ~ spl18
| ~ spl17
| e1 = e2 ),
inference(superposition,[status(thm)],[p22,p23]) ).
cnf(p404,plain,
( ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p397,c99]) ).
cnf(sct16,plain,
( ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p404]) ).
fof(sdef19,definition,
( spl19
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl19])],[avatar_definition]) ).
cnf(p24,plain,
( ~ spl19
| op(e1,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef19]) ).
cnf(p401,plain,
( ~ spl19
| ~ spl18
| e2 = e3 ),
inference(superposition,[status(thm)],[p23,p24]) ).
cnf(p407,plain,
( ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p401,c101]) ).
cnf(sct17,plain,
( ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p407]) ).
fof(sdef20,definition,
( spl20
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl20])],[avatar_definition]) ).
cnf(p26,plain,
( ~ spl20
| op(e1,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef20]) ).
fof(sdef21,definition,
( spl21
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl21])],[avatar_definition]) ).
cnf(p27,plain,
( ~ spl21
| op(e1,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef21]) ).
cnf(p409,plain,
( ~ spl21
| ~ spl20
| e0 = e1 ),
inference(superposition,[status(thm)],[p26,p27]) ).
cnf(p415,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p409,c96]) ).
cnf(sct18,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p415]) ).
fof(sdef22,definition,
( spl22
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl22])],[avatar_definition]) ).
cnf(p28,plain,
( ~ spl22
| op(e1,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef22]) ).
cnf(p417,plain,
( ~ spl22
| ~ spl21
| e1 = e2 ),
inference(superposition,[status(thm)],[p27,p28]) ).
cnf(p424,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p417,c99]) ).
cnf(sct19,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p424]) ).
fof(sdef23,definition,
( spl23
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl23])],[avatar_definition]) ).
cnf(p29,plain,
( ~ spl23
| op(e1,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef23]) ).
cnf(p421,plain,
( ~ spl23
| ~ spl22
| e2 = e3 ),
inference(superposition,[status(thm)],[p28,p29]) ).
cnf(p427,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p421,c101]) ).
cnf(sct20,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p427]) ).
fof(sdef24,definition,
( spl24
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl24])],[avatar_definition]) ).
cnf(p31,plain,
( ~ spl24
| op(e1,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef24]) ).
fof(sdef25,definition,
( spl25
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl25])],[avatar_definition]) ).
cnf(p32,plain,
( ~ spl25
| op(e1,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef25]) ).
cnf(p429,plain,
( ~ spl25
| ~ spl24
| e0 = e1 ),
inference(superposition,[status(thm)],[p31,p32]) ).
cnf(p435,plain,
( ~ spl25
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p429,c96]) ).
cnf(sct21,plain,
( ~ spl25
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p435]) ).
cnf(p419,plain,
( ~ spl23
| ~ spl21
| e1 = e3 ),
inference(superposition,[status(thm)],[p27,p29]) ).
cnf(p441,plain,
( ~ spl23
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p419,c100]) ).
cnf(sct22,plain,
( ~ spl23
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p441]) ).
fof(sdef26,definition,
( spl26
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl26])],[avatar_definition]) ).
cnf(p33,plain,
( ~ spl26
| op(e1,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef26]) ).
cnf(p440,plain,
( ~ spl26
| ~ spl24
| e0 = e2 ),
inference(superposition,[status(thm)],[p31,p33]) ).
cnf(p446,plain,
( ~ spl26
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p440,c97]) ).
cnf(sct23,plain,
( ~ spl26
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p446]) ).
fof(sdef27,definition,
( spl27
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl27])],[avatar_definition]) ).
cnf(p34,plain,
( ~ spl27
| op(e1,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef27]) ).
cnf(p448,plain,
( ~ spl27
| ~ spl24
| e0 = e3 ),
inference(superposition,[status(thm)],[p31,p34]) ).
cnf(p453,plain,
( ~ spl27
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p448,c98]) ).
cnf(sct24,plain,
( ~ spl27
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p453]) ).
fof(sdef28,definition,
( spl28
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl28])],[avatar_definition]) ).
cnf(p36,plain,
( ~ spl28
| op(e1,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef28]) ).
fof(sdef29,definition,
( spl29
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl29])],[avatar_definition]) ).
cnf(p37,plain,
( ~ spl29
| op(e1,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef29]) ).
cnf(p455,plain,
( ~ spl29
| ~ spl28
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p37]) ).
cnf(p467,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p455,c96]) ).
cnf(sct25,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p467]) ).
fof(sdef30,definition,
( spl30
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl30])],[avatar_definition]) ).
cnf(p38,plain,
( ~ spl30
| op(e1,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef30]) ).
cnf(p459,plain,
( ~ spl30
| ~ spl29
| e1 = e2 ),
inference(superposition,[status(thm)],[p37,p38]) ).
cnf(p471,plain,
( ~ spl30
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p459,c99]) ).
cnf(sct26,plain,
( ~ spl30
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p471]) ).
fof(sdef31,definition,
( spl31
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl31])],[avatar_definition]) ).
cnf(p39,plain,
( ~ spl31
| op(e1,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef31]) ).
cnf(p473,plain,
( ~ spl31
| ~ spl30
| e2 = e3 ),
inference(superposition,[status(thm)],[p38,p39]) ).
cnf(p477,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p473,c101]) ).
cnf(sct27,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p477]) ).
cnf(p479,plain,
( ~ spl31
| ~ spl29
| e3 = e1 ),
inference(superposition,[status(thm)],[p39,p37]) ).
cnf(p480,plain,
( ~ spl31
| ~ spl29
| e1 != e1 ),
inference(superposition,[status(thm)],[p479,c100]) ).
cnf(p484,plain,
( ~ spl31
| ~ spl29
| $false ),
inference(equality_resolution,[status(thm)],[p480]) ).
cnf(sct28,plain,
( ~ spl31
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p484]) ).
cnf(p486,plain,
( ~ spl31
| ~ spl28
| e3 = e0 ),
inference(superposition,[status(thm)],[p39,p36]) ).
cnf(p487,plain,
( ~ spl31
| ~ spl28
| e0 != e0 ),
inference(superposition,[status(thm)],[p486,c98]) ).
cnf(p492,plain,
( ~ spl31
| ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p487]) ).
cnf(sct29,plain,
( ~ spl31
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p492]) ).
fof(sdef32,definition,
( spl32
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl32])],[avatar_definition]) ).
cnf(p41,plain,
( ~ spl32
| op(e2,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef32]) ).
fof(sdef33,definition,
( spl33
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl33])],[avatar_definition]) ).
cnf(p42,plain,
( ~ spl33
| op(e2,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef33]) ).
cnf(p494,plain,
( ~ spl33
| ~ spl32
| e0 = e1 ),
inference(superposition,[status(thm)],[p41,p42]) ).
cnf(p501,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p494,c96]) ).
cnf(sct30,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p501]) ).
cnf(p399,plain,
( ~ spl19
| ~ spl17
| e1 = e3 ),
inference(superposition,[status(thm)],[p22,p24]) ).
cnf(p506,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p399,c100]) ).
cnf(sct31,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p506]) ).
fof(sdef34,definition,
( spl34
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl34])],[avatar_definition]) ).
cnf(p43,plain,
( ~ spl34
| op(e2,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef34]) ).
cnf(p508,plain,
( ~ spl34
| ~ spl32
| e0 = e2 ),
inference(superposition,[status(thm)],[p41,p43]) ).
cnf(p514,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p508,c97]) ).
cnf(sct32,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p514]) ).
fof(sdef35,definition,
( spl35
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl35])],[avatar_definition]) ).
cnf(p44,plain,
( ~ spl35
| op(e2,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef35]) ).
cnf(p516,plain,
( ~ spl35
| ~ spl32
| e0 = e3 ),
inference(superposition,[status(thm)],[p41,p44]) ).
cnf(p522,plain,
( ~ spl35
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p516,c98]) ).
cnf(sct33,plain,
( ~ spl35
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p522]) ).
fof(sdef36,definition,
( spl36
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl36])],[avatar_definition]) ).
cnf(p46,plain,
( ~ spl36
| op(e2,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef36]) ).
fof(sdef37,definition,
( spl37
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl37])],[avatar_definition]) ).
cnf(p47,plain,
( ~ spl37
| op(e2,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef37]) ).
cnf(p524,plain,
( ~ spl37
| ~ spl36
| e0 = e1 ),
inference(superposition,[status(thm)],[p46,p47]) ).
cnf(p532,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p524,c96]) ).
cnf(sct34,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p532]) ).
fof(sdef38,definition,
( spl38
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl38])],[avatar_definition]) ).
cnf(p48,plain,
( ~ spl38
| op(e2,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef38]) ).
cnf(p534,plain,
( ~ spl38
| ~ spl36
| e0 = e2 ),
inference(superposition,[status(thm)],[p46,p48]) ).
cnf(p546,plain,
( ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p534,c97]) ).
cnf(sct35,plain,
( ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p546]) ).
fof(sdef39,definition,
( spl39
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl39])],[avatar_definition]) ).
cnf(p49,plain,
( ~ spl39
| op(e2,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef39]) ).
cnf(p542,plain,
( ~ spl39
| ~ spl36
| e0 = e3 ),
inference(superposition,[status(thm)],[p46,p49]) ).
cnf(p552,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p542,c98]) ).
cnf(sct36,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p552]) ).
fof(sdef40,definition,
( spl40
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl40])],[avatar_definition]) ).
cnf(p51,plain,
( ~ spl40
| op(e2,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef40]) ).
fof(sdef41,definition,
( spl41
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl41])],[avatar_definition]) ).
cnf(p52,plain,
( ~ spl41
| op(e2,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef41]) ).
cnf(p554,plain,
( ~ spl41
| ~ spl40
| e0 = e1 ),
inference(superposition,[status(thm)],[p51,p52]) ).
cnf(p562,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p554,c96]) ).
cnf(sct37,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p562]) ).
fof(sdef42,definition,
( spl42
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl42])],[avatar_definition]) ).
cnf(p53,plain,
( ~ spl42
| op(e2,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef42]) ).
cnf(p564,plain,
( ~ spl42
| ~ spl41
| e1 = e2 ),
inference(superposition,[status(thm)],[p52,p53]) ).
cnf(p578,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p564,c99]) ).
cnf(sct38,plain,
( ~ spl42
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p578]) ).
fof(sdef43,definition,
( spl43
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl43])],[avatar_definition]) ).
cnf(p54,plain,
( ~ spl43
| op(e2,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef43]) ).
cnf(p574,plain,
( ~ spl43
| ~ spl41
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p54]) ).
cnf(p583,plain,
( ~ spl43
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p574,c100]) ).
cnf(sct39,plain,
( ~ spl43
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p583]) ).
fof(sdef44,definition,
( spl44
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl44])],[avatar_definition]) ).
cnf(p56,plain,
( ~ spl44
| op(e2,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef44]) ).
fof(sdef45,definition,
( spl45
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl45])],[avatar_definition]) ).
cnf(p57,plain,
( ~ spl45
| op(e2,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef45]) ).
cnf(p585,plain,
( ~ spl45
| ~ spl44
| e0 = e1 ),
inference(superposition,[status(thm)],[p56,p57]) ).
cnf(p593,plain,
( ~ spl45
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p585,c96]) ).
cnf(sct40,plain,
( ~ spl45
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p593]) ).
fof(sdef46,definition,
( spl46
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl46])],[avatar_definition]) ).
cnf(p58,plain,
( ~ spl46
| op(e2,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef46]) ).
cnf(p595,plain,
( ~ spl46
| ~ spl44
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p58]) ).
cnf(p609,plain,
( ~ spl46
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p595,c97]) ).
cnf(sct41,plain,
( ~ spl46
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p609]) ).
fof(sdef47,definition,
( spl47
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl47])],[avatar_definition]) ).
cnf(p59,plain,
( ~ spl47
| op(e2,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef47]) ).
cnf(p607,plain,
( ~ spl47
| ~ spl46
| e2 = e3 ),
inference(superposition,[status(thm)],[p58,p59]) ).
cnf(p616,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p607,c101]) ).
cnf(sct42,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p616]) ).
cnf(p576,plain,
( ~ spl43
| ~ spl42
| e2 = e3 ),
inference(superposition,[status(thm)],[p53,p54]) ).
cnf(p622,plain,
( ~ spl43
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p576,c101]) ).
cnf(sct43,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p622]) ).
cnf(p624,plain,
( ~ spl42
| ~ spl40
| e2 = e0 ),
inference(superposition,[status(thm)],[p53,p51]) ).
cnf(p625,plain,
( ~ spl42
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p624,c97]) ).
cnf(p634,plain,
( ~ spl42
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p625]) ).
cnf(sct44,plain,
( ~ spl42
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p634]) ).
fof(sdef48,definition,
( spl48
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl48])],[avatar_definition]) ).
cnf(p61,plain,
( ~ spl48
| op(e3,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef48]) ).
fof(sdef49,definition,
( spl49
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl49])],[avatar_definition]) ).
cnf(p62,plain,
( ~ spl49
| op(e3,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef49]) ).
cnf(p636,plain,
( ~ spl49
| ~ spl48
| e0 = e1 ),
inference(superposition,[status(thm)],[p61,p62]) ).
cnf(p644,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p636,c96]) ).
cnf(sct45,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p644]) ).
fof(sdef50,definition,
( spl50
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl50])],[avatar_definition]) ).
cnf(p63,plain,
( ~ spl50
| op(e3,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef50]) ).
cnf(p648,plain,
( ~ spl50
| ~ spl49
| e1 = e2 ),
inference(superposition,[status(thm)],[p62,p63]) ).
cnf(p664,plain,
( ~ spl50
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p648,c99]) ).
cnf(sct46,plain,
( ~ spl50
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p664]) ).
cnf(p646,plain,
( ~ spl47
| ~ spl45
| e3 = e1 ),
inference(superposition,[status(thm)],[p59,p57]) ).
cnf(p649,plain,
( ~ spl47
| ~ spl45
| e1 != e1 ),
inference(superposition,[status(thm)],[p646,c100]) ).
cnf(p665,plain,
( ~ spl47
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p649]) ).
cnf(sct47,plain,
( ~ spl47
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p665]) ).
fof(sdef51,definition,
( spl51
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl51])],[avatar_definition]) ).
cnf(p64,plain,
( ~ spl51
| op(e3,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef51]) ).
cnf(p667,plain,
( ~ spl51
| ~ spl50
| e2 = e3 ),
inference(superposition,[status(thm)],[p63,p64]) ).
cnf(p674,plain,
( ~ spl51
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p667,c101]) ).
cnf(sct48,plain,
( ~ spl51
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p674]) ).
cnf(p676,plain,
( ~ spl43
| ~ spl40
| e3 = e0 ),
inference(superposition,[status(thm)],[p54,p51]) ).
cnf(p677,plain,
( ~ spl43
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p676,c98]) ).
cnf(p687,plain,
( ~ spl43
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p677]) ).
cnf(sct49,plain,
( ~ spl43
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p687]) ).
cnf(p689,plain,
( ~ spl46
| ~ spl45
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p58]) ).
cnf(p699,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p689,c99]) ).
cnf(sct50,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p699]) ).
cnf(p544,plain,
( ~ spl39
| ~ spl38
| e2 = e3 ),
inference(superposition,[status(thm)],[p48,p49]) ).
cnf(p709,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p544,c101]) ).
cnf(sct51,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p709]) ).
fof(sdef52,definition,
( spl52
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl52])],[avatar_definition]) ).
cnf(p66,plain,
( ~ spl52
| op(e3,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef52]) ).
fof(sdef53,definition,
( spl53
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl53])],[avatar_definition]) ).
cnf(p67,plain,
( ~ spl53
| op(e3,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef53]) ).
cnf(p698,plain,
( ~ spl53
| ~ spl52
| e0 = e1 ),
inference(superposition,[status(thm)],[p66,p67]) ).
cnf(p724,plain,
( ~ spl53
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p698,c96]) ).
cnf(sct52,plain,
( ~ spl53
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p724]) ).
fof(sdef54,definition,
( spl54
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl54])],[avatar_definition]) ).
cnf(p68,plain,
( ~ spl54
| op(e3,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef54]) ).
cnf(p720,plain,
( ~ spl54
| ~ spl52
| e0 = e2 ),
inference(superposition,[status(thm)],[p66,p68]) ).
cnf(p734,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p720,c97]) ).
cnf(sct53,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p734]) ).
fof(sdef55,definition,
( spl55
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl55])],[avatar_definition]) ).
cnf(p69,plain,
( ~ spl55
| op(e3,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef55]) ).
cnf(p738,plain,
( ~ spl55
| ~ spl52
| e0 = e3 ),
inference(superposition,[status(thm)],[p66,p69]) ).
cnf(p759,plain,
( ~ spl55
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p738,c98]) ).
cnf(sct54,plain,
( ~ spl55
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p759]) ).
cnf(p457,plain,
( ~ spl30
| ~ spl28
| e0 = e2 ),
inference(superposition,[status(thm)],[p36,p38]) ).
cnf(p771,plain,
( ~ spl30
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p457,c97]) ).
cnf(sct55,plain,
( ~ spl30
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p771]) ).
cnf(p605,plain,
( ~ spl47
| ~ spl44
| e0 = e3 ),
inference(superposition,[status(thm)],[p56,p59]) ).
cnf(p782,plain,
( ~ spl47
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p605,c98]) ).
cnf(sct56,plain,
( ~ spl47
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p782]) ).
fof(sdef56,definition,
( spl56
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl56])],[avatar_definition]) ).
cnf(p71,plain,
( ~ spl56
| op(e3,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef56]) ).
fof(sdef57,definition,
( spl57
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl57])],[avatar_definition]) ).
cnf(p72,plain,
( ~ spl57
| op(e3,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef57]) ).
cnf(p784,plain,
( ~ spl57
| ~ spl56
| e0 = e1 ),
inference(superposition,[status(thm)],[p71,p72]) ).
cnf(p794,plain,
( ~ spl57
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p784,c96]) ).
cnf(sct57,plain,
( ~ spl57
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p794]) ).
cnf(p796,plain,
( ~ spl38
| ~ spl37
| e1 = e2 ),
inference(superposition,[status(thm)],[p47,p48]) ).
cnf(p808,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p796,c99]) ).
cnf(sct58,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p808]) ).
fof(sdef58,definition,
( spl58
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl58])],[avatar_definition]) ).
cnf(p73,plain,
( ~ spl58
| op(e3,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef58]) ).
cnf(p798,plain,
( ~ spl58
| ~ spl57
| e1 = e2 ),
inference(superposition,[status(thm)],[p72,p73]) ).
cnf(p817,plain,
( ~ spl58
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p798,c99]) ).
cnf(sct59,plain,
( ~ spl58
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p817]) ).
fof(sdef59,definition,
( spl59
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl59])],[avatar_definition]) ).
cnf(p74,plain,
( ~ spl59
| op(e3,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef59]) ).
cnf(p819,plain,
( ~ spl59
| ~ spl56
| e0 = e3 ),
inference(superposition,[status(thm)],[p71,p74]) ).
cnf(p833,plain,
( ~ spl59
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p819,c98]) ).
cnf(sct60,plain,
( ~ spl59
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p833]) ).
cnf(p821,plain,
( ~ spl59
| ~ spl58
| e2 = e3 ),
inference(superposition,[status(thm)],[p73,p74]) ).
cnf(p842,plain,
( ~ spl59
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p821,c101]) ).
cnf(sct61,plain,
( ~ spl59
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p842]) ).
cnf(p844,plain,
( ~ spl26
| ~ spl25
| e2 = e1 ),
inference(superposition,[status(thm)],[p33,p32]) ).
cnf(p847,plain,
( ~ spl26
| ~ spl25
| e1 != e1 ),
inference(superposition,[status(thm)],[p844,c99]) ).
cnf(p864,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p847]) ).
cnf(sct62,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p864]) ).
fof(sdef60,definition,
( spl60
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl60])],[avatar_definition]) ).
cnf(p76,plain,
( ~ spl60
| op(e3,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef60]) ).
fof(sdef61,definition,
( spl61
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl61])],[avatar_definition]) ).
cnf(p77,plain,
( ~ spl61
| op(e3,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef61]) ).
cnf(p866,plain,
( ~ spl61
| ~ spl60
| e0 = e1 ),
inference(superposition,[status(thm)],[p76,p77]) ).
cnf(p876,plain,
( ~ spl61
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p866,c96]) ).
cnf(sct63,plain,
( ~ spl61
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p876]) ).
cnf(p878,plain,
( ~ spl27
| ~ spl26
| e3 = e2 ),
inference(superposition,[status(thm)],[p34,p33]) ).
cnf(p879,plain,
( ~ spl27
| ~ spl26
| e2 != e2 ),
inference(superposition,[status(thm)],[p878,c101]) ).
cnf(p892,plain,
( ~ spl27
| ~ spl26
| $false ),
inference(equality_resolution,[status(thm)],[p879]) ).
cnf(sct64,plain,
( ~ spl27
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p892]) ).
fof(sdef62,definition,
( spl62
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl62])],[avatar_definition]) ).
cnf(p78,plain,
( ~ spl62
| op(e3,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef62]) ).
cnf(p890,plain,
( ~ spl62
| ~ spl61
| e1 = e2 ),
inference(superposition,[status(thm)],[p77,p78]) ).
cnf(p902,plain,
( ~ spl62
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p890,c99]) ).
cnf(sct65,plain,
( ~ spl62
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p902]) ).
fof(sdef63,definition,
( spl63
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl63])],[avatar_definition]) ).
cnf(p79,plain,
( ~ spl63
| op(e3,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef63]) ).
cnf(p904,plain,
( ~ spl63
| ~ spl60
| e0 = e3 ),
inference(superposition,[status(thm)],[p76,p79]) ).
cnf(p921,plain,
( ~ spl63
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p904,c98]) ).
cnf(sct66,plain,
( ~ spl63
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p921]) ).
cnf(p906,plain,
( ~ spl63
| ~ spl62
| e2 = e3 ),
inference(superposition,[status(thm)],[p78,p79]) ).
cnf(p934,plain,
( ~ spl63
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p906,c101]) ).
cnf(sct67,plain,
( ~ spl63
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p934]) ).
cnf(p722,plain,
( ~ spl54
| ~ spl53
| e1 = e2 ),
inference(superposition,[status(thm)],[p67,p68]) ).
cnf(p945,plain,
( ~ spl54
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p722,c99]) ).
cnf(sct68,plain,
( ~ spl54
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p945]) ).
cnf(p948,plain,
( ~ spl23
| ~ spl20
| e0 = e3 ),
inference(superposition,[status(thm)],[p26,p29]) ).
cnf(p965,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p948,c98]) ).
cnf(sct69,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p965]) ).
cnf(p736,plain,
( ~ spl39
| ~ spl37
| e3 = e1 ),
inference(superposition,[status(thm)],[p49,p47]) ).
cnf(p739,plain,
( ~ spl39
| ~ spl37
| e1 != e1 ),
inference(superposition,[status(thm)],[p736,c100]) ).
cnf(p973,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p739]) ).
cnf(sct70,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p973]) ).
cnf(p846,plain,
( ~ spl27
| ~ spl25
| e3 = e1 ),
inference(superposition,[status(thm)],[p34,p32]) ).
cnf(p854,plain,
( ~ spl27
| ~ spl25
| e1 != e1 ),
inference(superposition,[status(thm)],[p846,c100]) ).
cnf(p984,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p854]) ).
cnf(sct71,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p984]) ).
cnf(p986,plain,
( ~ spl22
| ~ spl20
| e0 = e2 ),
inference(superposition,[status(thm)],[p26,p28]) ).
cnf(p998,plain,
( ~ spl22
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p986,c97]) ).
cnf(sct72,plain,
( ~ spl22
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p998]) ).
cnf(p1006,plain,
( ~ spl51
| ~ spl49
| e3 = e1 ),
inference(superposition,[status(thm)],[p64,p62]) ).
cnf(p1008,plain,
( ~ spl51
| ~ spl49
| e1 != e1 ),
inference(superposition,[status(thm)],[p1006,c100]) ).
cnf(p1025,plain,
( ~ spl51
| ~ spl49
| $false ),
inference(equality_resolution,[status(thm)],[p1008]) ).
cnf(sct73,plain,
( ~ spl51
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p1025]) ).
cnf(p1031,plain,
( ~ spl34
| ~ spl33
| e2 = e1 ),
inference(superposition,[status(thm)],[p43,p42]) ).
cnf(p1037,plain,
( ~ spl34
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p1031,c99]) ).
cnf(p1065,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p1037]) ).
cnf(sct74,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p1065]) ).
cnf(p1033,plain,
( ~ spl35
| ~ spl33
| e3 = e1 ),
inference(superposition,[status(thm)],[p44,p42]) ).
cnf(p1048,plain,
( ~ spl35
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p1033,c100]) ).
cnf(p1066,plain,
( ~ spl35
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p1048]) ).
cnf(sct75,plain,
( ~ spl35
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p1066]) ).
cnf(p1072,plain,
( ~ spl35
| ~ spl34
| e3 = e2 ),
inference(superposition,[status(thm)],[p44,p43]) ).
cnf(p1076,plain,
( ~ spl35
| ~ spl34
| e2 != e2 ),
inference(superposition,[status(thm)],[p1072,c101]) ).
cnf(p1087,plain,
( ~ spl35
| ~ spl34
| $false ),
inference(equality_resolution,[status(thm)],[p1076]) ).
cnf(sct76,plain,
( ~ spl35
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p1087]) ).
cnf(p1097,plain,
( ~ spl51
| ~ spl48
| e3 = e0 ),
inference(superposition,[status(thm)],[p64,p61]) ).
cnf(p1100,plain,
( ~ spl51
| ~ spl48
| e0 != e0 ),
inference(superposition,[status(thm)],[p1097,c98]) ).
cnf(p1118,plain,
( ~ spl51
| ~ spl48
| $false ),
inference(equality_resolution,[status(thm)],[p1100]) ).
cnf(sct77,plain,
( ~ spl51
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p1118]) ).
cnf(p1120,plain,
( ~ spl50
| ~ spl48
| e0 = e2 ),
inference(superposition,[status(thm)],[p61,p63]) ).
cnf(p1139,plain,
( ~ spl50
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p1120,c97]) ).
cnf(sct78,plain,
( ~ spl50
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p1139]) ).
cnf(p1141,plain,
( ~ spl55
| ~ spl54
| e3 = e2 ),
inference(superposition,[status(thm)],[p69,p68]) ).
cnf(p1143,plain,
( ~ spl55
| ~ spl54
| e2 != e2 ),
inference(superposition,[status(thm)],[p1141,c101]) ).
cnf(p1157,plain,
( ~ spl55
| ~ spl54
| $false ),
inference(equality_resolution,[status(thm)],[p1143]) ).
cnf(sct79,plain,
( ~ spl55
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p1157]) ).
cnf(p1159,plain,
( ~ spl55
| ~ spl53
| e3 = e1 ),
inference(superposition,[status(thm)],[p69,p67]) ).
cnf(p1162,plain,
( ~ spl55
| ~ spl53
| e1 != e1 ),
inference(superposition,[status(thm)],[p1159,c100]) ).
cnf(p1177,plain,
( ~ spl55
| ~ spl53
| $false ),
inference(equality_resolution,[status(thm)],[p1162]) ).
cnf(sct80,plain,
( ~ spl55
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p1177]) ).
cnf(p1181,plain,
( ~ spl58
| ~ spl56
| e2 = e0 ),
inference(superposition,[status(thm)],[p73,p71]) ).
cnf(p1182,plain,
( ~ spl58
| ~ spl56
| e0 != e0 ),
inference(superposition,[status(thm)],[p1181,c97]) ).
cnf(p1195,plain,
( ~ spl58
| ~ spl56
| $false ),
inference(equality_resolution,[status(thm)],[p1182]) ).
cnf(sct81,plain,
( ~ spl58
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p1195]) ).
cnf(p1199,plain,
( ~ spl63
| ~ spl61
| e3 = e1 ),
inference(superposition,[status(thm)],[p79,p77]) ).
cnf(p1200,plain,
( ~ spl63
| ~ spl61
| e1 != e1 ),
inference(superposition,[status(thm)],[p1199,c100]) ).
cnf(p1215,plain,
( ~ spl63
| ~ spl61
| $false ),
inference(equality_resolution,[status(thm)],[p1200]) ).
cnf(sct82,plain,
( ~ spl63
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1215]) ).
fof(sdef65,definition,
( spl65
<=> op(e0,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl65])],[avatar_definition]) ).
cnf(p170,plain,
( ~ spl65
| op(e0,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef65]) ).
cnf(p1219,plain,
( ~ spl65
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p170,p11]) ).
cnf(sct83,plain,
( ~ spl65
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1219]) ).
fof(sdef71,definition,
( spl71
<=> op(e1,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(p198,plain,
( ~ spl71
| op(e1,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef71]) ).
cnf(p1230,plain,
( ~ spl71
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p198,p22]) ).
cnf(sct84,plain,
( ~ spl71
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1230]) ).
fof(sdef72,definition,
( spl72
<=> op(e2,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p208,plain,
( ~ spl72
| op(e2,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
cnf(p1231,plain,
( ~ spl72
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p208,p58]) ).
cnf(sct85,plain,
( ~ spl72
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p1231]) ).
fof(sdef78,definition,
( spl78
<=> op(e3,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl78])],[avatar_definition]) ).
cnf(p233,plain,
( ~ spl78
| op(e3,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef78]) ).
cnf(p1237,plain,
( ~ spl78
| ~ spl55
| $false ),
inference(resolution,[status(thm)],[p233,p69]) ).
cnf(sct86,plain,
( ~ spl78
| ~ spl55 ),
inference(avatar_contradiction_clause,[status(thm)],[p1237]) ).
fof(sdef90,definition,
( spl90
<=> e1 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(p260,plain,
( ~ spl90
| e1 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef90]) ).
cnf(p1245,plain,
( ~ spl90
| ~ spl61
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p260]) ).
cnf(p1246,plain,
( ~ spl90
| ~ spl61
| $false ),
inference(equality_resolution,[status(thm)],[p1245]) ).
cnf(sct87,plain,
( ~ spl90
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1246]) ).
fof(sdef92,definition,
( spl92
<=> e2 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p263,plain,
( ~ spl92
| e2 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
cnf(p1247,plain,
( ~ spl92
| ~ spl22
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p263]) ).
cnf(p1248,plain,
( ~ spl92
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p1247]) ).
cnf(sct88,plain,
( ~ spl92
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1248]) ).
fof(sdef94,definition,
( spl94
<=> e1 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl94])],[avatar_definition]) ).
cnf(p266,plain,
( ~ spl94
| e1 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef94]) ).
cnf(p1251,plain,
( ~ spl94
| ~ spl41
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p266]) ).
cnf(p1252,plain,
( ~ spl94
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p1251]) ).
cnf(sct89,plain,
( ~ spl94
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p1252]) ).
fof(sdef104,definition,
( spl104
<=> e2 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p281,plain,
( ~ spl104
| e2 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
cnf(p1256,plain,
( ~ spl104
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p281]) ).
cnf(p1257,plain,
( ~ spl104
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1256]) ).
cnf(sct90,plain,
( ~ spl104
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p1257]) ).
fof(sdef91,definition,
( spl91
<=> e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(p262,plain,
( ~ spl91
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef91]) ).
cnf(p1335,plain,
( ~ spl91
| ~ spl22
| e3 != op(op(e2,e2),e2) ),
inference(superposition,[status(thm)],[p28,p262]) ).
cnf(p1343,plain,
( ~ spl91
| ~ spl41
| ~ spl22
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p52,p1335]) ).
cnf(p1344,plain,
( ~ spl91
| ~ spl41
| ~ spl27
| ~ spl22
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p1343]) ).
cnf(p1346,plain,
( ~ spl91
| ~ spl41
| ~ spl27
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p1344]) ).
cnf(sct91,plain,
( ~ spl91
| ~ spl41
| ~ spl27
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1346]) ).
fof(sdef96,definition,
( spl96
<=> e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl96])],[avatar_definition]) ).
cnf(p269,plain,
( ~ spl96
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef96]) ).
cnf(p1342,plain,
( ~ spl96
| ~ spl41
| e0 != op(op(e1,e1),e1) ),
inference(superposition,[status(thm)],[p52,p269]) ).
cnf(p1350,plain,
( ~ spl96
| ~ spl41
| ~ spl22
| e0 != op(e2,e1) ),
inference(superposition,[status(thm)],[p28,p1342]) ).
cnf(p1351,plain,
( ~ spl96
| ~ spl41
| ~ spl36
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p46,p1350]) ).
cnf(p1352,plain,
( ~ spl96
| ~ spl41
| ~ spl36
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p1351]) ).
cnf(sct92,plain,
( ~ spl96
| ~ spl41
| ~ spl36
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1352]) ).
fof(sdef99,definition,
( spl99
<=> e1 != op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl99])],[avatar_definition]) ).
cnf(p274,plain,
( ~ spl99
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef99]) ).
cnf(p1353,plain,
( ~ spl99
| ~ spl2
| e1 != op(e2,e2) ),
inference(superposition,[status(thm)],[p3,p274]) ).
cnf(p1354,plain,
( ~ spl99
| ~ spl41
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p1353]) ).
cnf(p1355,plain,
( ~ spl99
| ~ spl41
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1354]) ).
cnf(sct93,plain,
( ~ spl99
| ~ spl41
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p1355]) ).
fof(sdef88,definition,
( spl88
<=> e3 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
cnf(p257,plain,
( ~ spl88
| e3 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p1410,plain,
( ~ spl88
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p257]) ).
cnf(p1418,plain,
( ~ spl88
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p1410]) ).
cnf(sct94,plain,
( ~ spl88
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1418]) ).
fof(sdef68,definition,
( spl68
<=> op(e1,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl68
| op(e1,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
cnf(p1427,plain,
( ~ spl68
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p37,p188]) ).
cnf(sct95,plain,
( ~ spl68
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p1427]) ).
fof(sdef74,definition,
( spl74
<=> op(e2,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(p213,plain,
( ~ spl74
| op(e2,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p1443,plain,
( ~ spl74
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p48,p213]) ).
cnf(sct96,plain,
( ~ spl74
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p1443]) ).
fof(sdef82,definition,
( spl82
<=> e3 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl82])],[avatar_definition]) ).
cnf(p249,plain,
( ~ spl82
| e3 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef82]) ).
cnf(p1451,plain,
( ~ spl82
| ~ spl43
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p249]) ).
cnf(p1460,plain,
( ~ spl82
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p1451]) ).
cnf(sct97,plain,
( ~ spl82
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p1460]) ).
fof(sdef79,definition,
( spl79
<=> op(e3,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(p238,plain,
( ~ spl79
| op(e3,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(p1470,plain,
( ~ spl79
| ~ spl51
| $false ),
inference(resolution,[status(thm)],[p64,p238]) ).
cnf(sct98,plain,
( ~ spl79
| ~ spl51 ),
inference(avatar_contradiction_clause,[status(thm)],[p1470]) ).
fof(sdef85,definition,
( spl85
<=> e2 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p253,plain,
( ~ spl85
| e2 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p1571,plain,
( ~ spl85
| ~ spl62
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p253]) ).
cnf(p1583,plain,
( ~ spl85
| ~ spl62
| $false ),
inference(equality_resolution,[status(thm)],[p1571]) ).
cnf(sct99,plain,
( ~ spl85
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p1583]) ).
fof(sdef106,definition,
( spl106
<=> e2 != op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl106])],[avatar_definition]) ).
cnf(p285,plain,
( ~ spl106
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef106]) ).
cnf(p1426,plain,
( ~ spl106
| ~ spl23
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p29,p285]) ).
cnf(p1596,plain,
( ~ spl106
| ~ spl62
| ~ spl23
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p1426]) ).
cnf(p1597,plain,
( ~ spl106
| ~ spl62
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p1596]) ).
cnf(sct100,plain,
( ~ spl106
| ~ spl62
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1597]) ).
fof(sdef115,definition,
( spl115
<=> e3 != op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(p302,plain,
( ~ spl115
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p1586,plain,
( ~ spl115
| ~ spl2
| e3 != op(e2,e2) ),
inference(superposition,[status(thm)],[p3,p302]) ).
cnf(p1614,plain,
( ~ spl115
| ~ spl43
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p1586]) ).
cnf(p1615,plain,
( ~ spl115
| ~ spl43
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1614]) ).
cnf(sct101,plain,
( ~ spl115
| ~ spl43
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p1615]) ).
fof(sdef107,definition,
( spl107
<=> e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p286,plain,
( ~ spl107
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
cnf(p1439,plain,
( ~ spl107
| ~ spl23
| e0 != op(op(e3,e3),e3) ),
inference(superposition,[status(thm)],[p29,p286]) ).
cnf(p1600,plain,
( ~ spl107
| ~ spl62
| ~ spl23
| e0 != op(e2,e3) ),
inference(superposition,[status(thm)],[p78,p1439]) ).
cnf(p1621,plain,
( ~ spl107
| ~ spl62
| ~ spl44
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p56,p1600]) ).
cnf(p1622,plain,
( ~ spl107
| ~ spl62
| ~ spl44
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p1621]) ).
cnf(sct102,plain,
( ~ spl107
| ~ spl62
| ~ spl44
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1622]) ).
cnf(p1357,plain,
( ~ spl19
| ~ spl16
| e3 = e0 ),
inference(superposition,[status(thm)],[p24,p21]) ).
cnf(p1365,plain,
( ~ spl19
| ~ spl16
| e0 != e0 ),
inference(superposition,[status(thm)],[p1357,c98]) ).
cnf(p1676,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1365]) ).
cnf(sct103,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1676]) ).
fof(sdef102,definition,
( spl102
<=> e0 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p278,plain,
( ~ spl102
| e0 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
cnf(p1545,plain,
( ~ spl102
| ~ spl60
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p278]) ).
cnf(p1707,plain,
( ~ spl102
| ~ spl60
| $false ),
inference(equality_resolution,[status(thm)],[p1545]) ).
cnf(sct104,plain,
( ~ spl102
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1707]) ).
fof(sdef110,definition,
( spl110
<=> e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p291,plain,
( ~ spl110
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
cnf(p1555,plain,
( ~ spl110
| ~ spl2
| e1 != op(op(e2,e2),e2) ),
inference(superposition,[status(thm)],[p3,p291]) ).
cnf(p1610,plain,
( ~ spl110
| ~ spl43
| ~ spl2
| e1 != op(e3,e2) ),
inference(superposition,[status(thm)],[p54,p1555]) ).
cnf(p1673,plain,
( ~ spl110
| ~ spl57
| ~ spl43
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p1610]) ).
cnf(p1708,plain,
( ~ spl110
| ~ spl57
| ~ spl43
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1673]) ).
cnf(sct105,plain,
( ~ spl110
| ~ spl57
| ~ spl43
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p1708]) ).
cnf(p1483,plain,
( ~ spl59
| ~ spl57
| e3 = e1 ),
inference(superposition,[status(thm)],[p74,p72]) ).
cnf(p1490,plain,
( ~ spl59
| ~ spl57
| e1 != e1 ),
inference(superposition,[status(thm)],[p1483,c100]) ).
cnf(p1781,plain,
( ~ spl59
| ~ spl57
| $false ),
inference(equality_resolution,[status(thm)],[p1490]) ).
cnf(sct106,plain,
( ~ spl59
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p1781]) ).
fof(f2,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2_nnf,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c62,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1484,plain,
( ~ spl57
| op(e0,e2) != e1 ),
inference(superposition,[status(thm)],[p72,c62]) ).
cnf(p1793,plain,
( ~ spl57
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p12,p1484]) ).
cnf(sct107,plain,
( ~ spl57
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1793]) ).
cnf(p1783,plain,
( ~ spl11
| ~ spl9
| e3 = e1 ),
inference(superposition,[status(thm)],[p14,p12]) ).
cnf(c94,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1316,plain,
( ~ spl55
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p69,c94]) ).
cnf(p1333,plain,
( ~ spl61
| ~ spl55
| e3 != e1 ),
inference(superposition,[status(thm)],[p77,p1316]) ).
cnf(p1847,plain,
( ~ spl61
| ~ spl55
| ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1783,p1333]) ).
cnf(sct108,plain,
( ~ spl61
| ~ spl55
| ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1847]) ).
cnf(p1849,plain,
( ~ spl11
| ~ spl10
| e3 = e2 ),
inference(superposition,[status(thm)],[p14,p13]) ).
fof(sdef75,definition,
( spl75
<=> op(e2,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p218,plain,
( ~ spl75
| op(e2,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
cnf(p1234,plain,
( ~ spl75
| ~ spl35
| e3 != e2 ),
inference(superposition,[status(thm)],[p44,p218]) ).
cnf(p1873,plain,
( ~ spl75
| ~ spl35
| ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1849,p1234]) ).
cnf(sct109,plain,
( ~ spl75
| ~ spl35
| ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1873]) ).
fof(sdef64,definition,
( spl64
<=> op(e0,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl64])],[avatar_definition]) ).
cnf(p168,plain,
( ~ spl64
| op(e0,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef64]) ).
cnf(p1884,plain,
( ~ spl64
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p16,p168]) ).
cnf(sct110,plain,
( ~ spl64
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1884]) ).
fof(sdef73,definition,
( spl73
<=> op(e2,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(p210,plain,
( ~ spl73
| op(e2,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef73]) ).
cnf(p1921,plain,
( ~ spl73
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p53,p210]) ).
cnf(sct111,plain,
( ~ spl73
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p1921]) ).
fof(sdef77,definition,
( spl77
<=> op(e3,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p230,plain,
( ~ spl77
| op(e3,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef77]) ).
cnf(p1925,plain,
( ~ spl77
| ~ spl59
| $false ),
inference(resolution,[status(thm)],[p74,p230]) ).
cnf(sct112,plain,
( ~ spl77
| ~ spl59 ),
inference(avatar_contradiction_clause,[status(thm)],[p1925]) ).
cnf(p1729,plain,
( ~ spl68
| ~ spl31
| e3 != e1 ),
inference(superposition,[status(thm)],[p39,p188]) ).
cnf(p1955,plain,
( ~ spl68
| ~ spl31
| ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1783,p1729]) ).
cnf(sct113,plain,
( ~ spl68
| ~ spl31
| ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1955]) ).
fof(sdef112,definition,
( spl112
<=> e0 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(p296,plain,
( ~ spl112
| e0 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef112]) ).
cnf(p1976,plain,
( ~ spl112
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p296]) ).
cnf(p1988,plain,
( ~ spl112
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1976]) ).
cnf(sct114,plain,
( ~ spl112
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1988]) ).
fof(sdef105,definition,
( spl105
<=> e0 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl105])],[avatar_definition]) ).
cnf(p283,plain,
( ~ spl105
| e0 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef105]) ).
cnf(p1995,plain,
( ~ spl105
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p283]) ).
cnf(p2020,plain,
( ~ spl105
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p1995]) ).
cnf(sct115,plain,
( ~ spl105
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2020]) ).
fof(sdef83,definition,
( spl83
<=> e0 != op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(p251,plain,
( ~ spl83
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef83]) ).
cnf(p1578,plain,
( ~ spl83
| ~ spl62
| e0 != op(e2,e2) ),
inference(superposition,[status(thm)],[p78,p251]) ).
cnf(p2013,plain,
( ~ spl83
| ~ spl62
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p1578]) ).
cnf(p2022,plain,
( ~ spl83
| ~ spl62
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p2013]) ).
cnf(sct116,plain,
( ~ spl83
| ~ spl62
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2022]) ).
cnf(p1984,plain,
( ~ spl106
| ~ spl20
| e2 != op(e0,e0) ),
inference(superposition,[status(thm)],[p26,p285]) ).
cnf(p2038,plain,
( ~ spl106
| ~ spl20
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p1984]) ).
cnf(p2039,plain,
( ~ spl106
| ~ spl20
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2038]) ).
cnf(sct117,plain,
( ~ spl106
| ~ spl20
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2039]) ).
cnf(p2012,plain,
( ~ spl110
| ~ spl40
| ~ spl2
| e1 != op(e0,e2) ),
inference(superposition,[status(thm)],[p51,p1555]) ).
cnf(p2046,plain,
( ~ spl110
| ~ spl40
| ~ spl9
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p12,p2012]) ).
cnf(p2047,plain,
( ~ spl110
| ~ spl40
| ~ spl9
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2046]) ).
cnf(sct118,plain,
( ~ spl110
| ~ spl40
| ~ spl9
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2047]) ).
cnf(p324,plain,
( ~ spl6
| ~ spl4
| e2 = e0 ),
inference(superposition,[status(thm)],[p8,p6]) ).
cnf(c48,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p935,plain,
( ~ spl2
| e2 != op(e1,e0) ),
inference(superposition,[status(thm)],[p3,c48]) ).
cnf(p1361,plain,
( ~ spl16
| ~ spl2
| e2 != e0 ),
inference(superposition,[status(thm)],[p21,p935]) ).
cnf(p2090,plain,
( ~ spl16
| ~ spl6
| ~ spl4
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p324,p1361]) ).
cnf(sct119,plain,
( ~ spl16
| ~ spl6
| ~ spl4
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2090]) ).
cnf(p1386,plain,
( ~ spl18
| ~ spl16
| e2 = e0 ),
inference(superposition,[status(thm)],[p23,p21]) ).
cnf(p2130,plain,
( ~ spl18
| ~ spl16
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p1361,p1386]) ).
cnf(sct120,plain,
( ~ spl18
| ~ spl16
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2130]) ).
cnf(p1242,plain,
( ~ spl88
| ~ spl22
| e3 != e2 ),
inference(superposition,[status(thm)],[p28,p257]) ).
cnf(p2132,plain,
( ~ spl88
| ~ spl22
| ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1242,p1849]) ).
cnf(sct121,plain,
( ~ spl88
| ~ spl22
| ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2132]) ).
cnf(c73,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1258,plain,
( ~ spl2
| e2 != op(e0,e2) ),
inference(superposition,[status(thm)],[p3,c73]) ).
cnf(p1857,plain,
( ~ spl10
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p13,p1258]) ).
cnf(p2182,plain,
( ~ spl10
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p1857]) ).
cnf(sct122,plain,
( ~ spl10
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2182]) ).
fof(sdef66,definition,
( spl66
<=> op(e0,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl66])],[avatar_definition]) ).
cnf(p173,plain,
( ~ spl66
| op(e0,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef66]) ).
cnf(p2188,plain,
( ~ spl66
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p6,p173]) ).
cnf(sct123,plain,
( ~ spl66
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2188]) ).
cnf(c55,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1064,plain,
( ~ spl36
| op(e0,e1) != e0 ),
inference(superposition,[status(thm)],[p46,c55]) ).
cnf(p2192,plain,
( ~ spl36
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p6,p1064]) ).
cnf(sct124,plain,
( ~ spl36
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2192]) ).
cnf(p2184,plain,
( ~ spl7
| ~ spl4
| e3 = e0 ),
inference(superposition,[status(thm)],[p9,p6]) ).
cnf(p1877,plain,
( ~ spl65
| ~ spl11
| e3 != e0 ),
inference(superposition,[status(thm)],[p14,p170]) ).
cnf(p2253,plain,
( ~ spl65
| ~ spl11
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p2184,p1877]) ).
cnf(sct125,plain,
( ~ spl65
| ~ spl11
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2253]) ).
fof(sdef103,definition,
( spl103
<=> e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p280,plain,
( ~ spl103
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
cnf(p1417,plain,
( ~ spl103
| ~ spl2
| e3 != op(op(e2,e2),e2) ),
inference(superposition,[status(thm)],[p3,p280]) ).
cnf(p2008,plain,
( ~ spl103
| ~ spl40
| ~ spl2
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p51,p1417]) ).
cnf(p2256,plain,
( ~ spl103
| ~ spl40
| ~ spl11
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p14,p2008]) ).
cnf(p2258,plain,
( ~ spl103
| ~ spl40
| ~ spl11
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2256]) ).
cnf(sct126,plain,
( ~ spl103
| ~ spl40
| ~ spl11
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2258]) ).
fof(sdef69,definition,
( spl69
<=> op(e1,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(p190,plain,
( ~ spl69
| op(e1,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef69]) ).
cnf(p2276,plain,
( ~ spl69
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p32,p190]) ).
cnf(sct127,plain,
( ~ spl69
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2276]) ).
fof(sdef86,definition,
( spl86
<=> e0 != op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl86])],[avatar_definition]) ).
cnf(p255,plain,
( ~ spl86
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef86]) ).
cnf(p1329,plain,
( ~ spl86
| ~ spl22
| e0 != op(e2,e2) ),
inference(superposition,[status(thm)],[p28,p255]) ).
cnf(p2293,plain,
( ~ spl86
| ~ spl40
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p1329]) ).
cnf(p2296,plain,
( ~ spl86
| ~ spl40
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2293]) ).
cnf(sct128,plain,
( ~ spl86
| ~ spl40
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2296]) ).
fof(sdef108,definition,
( spl108
<=> e2 != op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p288,plain,
( ~ spl108
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
cnf(p1461,plain,
( ~ spl108
| ~ spl60
| e2 != op(e0,e0) ),
inference(superposition,[status(thm)],[p76,p288]) ).
cnf(p2297,plain,
( ~ spl108
| ~ spl60
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p1461]) ).
cnf(p2298,plain,
( ~ spl108
| ~ spl60
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2297]) ).
cnf(sct129,plain,
( ~ spl108
| ~ spl60
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2298]) ).
fof(sdef81,definition,
( spl81
<=> e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl81])],[avatar_definition]) ).
cnf(p248,plain,
( ~ spl81
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef81]) ).
cnf(p2001,plain,
( ~ spl81
| ~ spl40
| e1 != op(op(e0,e0),e0) ),
inference(superposition,[status(thm)],[p51,p248]) ).
cnf(p2045,plain,
( ~ spl81
| ~ spl40
| ~ spl2
| e1 != op(e2,e0) ),
inference(superposition,[status(thm)],[p3,p2001]) ).
cnf(p2306,plain,
( ~ spl81
| ~ spl40
| ~ spl33
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p2045]) ).
cnf(p2307,plain,
( ~ spl81
| ~ spl40
| ~ spl33
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2306]) ).
cnf(sct130,plain,
( ~ spl81
| ~ spl40
| ~ spl33
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2307]) ).
cnf(p2295,plain,
( ~ spl91
| ~ spl40
| ~ spl22
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p51,p1335]) ).
cnf(p2311,plain,
( ~ spl91
| ~ spl40
| ~ spl22
| ~ spl11
| e3 != e3 ),
inference(superposition,[status(thm)],[p14,p2295]) ).
cnf(p2312,plain,
( ~ spl91
| ~ spl40
| ~ spl22
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p2311]) ).
cnf(sct131,plain,
( ~ spl91
| ~ spl40
| ~ spl22
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2312]) ).
fof(sdef93,definition,
( spl93
<=> e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl93])],[avatar_definition]) ).
cnf(p265,plain,
( ~ spl93
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef93]) ).
cnf(p2002,plain,
( ~ spl93
| ~ spl40
| e3 != op(op(e0,e0),e0) ),
inference(superposition,[status(thm)],[p51,p265]) ).
cnf(p2309,plain,
( ~ spl93
| ~ spl40
| ~ spl2
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p3,p2002]) ).
cnf(p2345,plain,
( ~ spl93
| ~ spl40
| ~ spl35
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p2309]) ).
cnf(p2346,plain,
( ~ spl93
| ~ spl40
| ~ spl35
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2345]) ).
cnf(sct132,plain,
( ~ spl93
| ~ spl40
| ~ spl35
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2346]) ).
fof(sdef84,definition,
( spl84
<=> e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(p252,plain,
( ~ spl84
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef84]) ).
cnf(p1579,plain,
( ~ spl84
| ~ spl62
| e1 != op(op(e2,e2),e2) ),
inference(superposition,[status(thm)],[p78,p252]) ).
cnf(p2015,plain,
( ~ spl84
| ~ spl62
| ~ spl40
| e1 != op(e0,e2) ),
inference(superposition,[status(thm)],[p51,p1579]) ).
cnf(p2347,plain,
( ~ spl84
| ~ spl62
| ~ spl40
| ~ spl9
| e1 != e1 ),
inference(superposition,[status(thm)],[p12,p2015]) ).
cnf(p2348,plain,
( ~ spl84
| ~ spl62
| ~ spl40
| ~ spl9
| $false ),
inference(equality_resolution,[status(thm)],[p2347]) ).
cnf(sct133,plain,
( ~ spl84
| ~ spl62
| ~ spl40
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2348]) ).
cnf(p2351,plain,
( ~ spl103
| ~ spl41
| ~ spl2
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p52,p1417]) ).
cnf(p2360,plain,
( ~ spl103
| ~ spl41
| ~ spl27
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p2351]) ).
cnf(p2361,plain,
( ~ spl103
| ~ spl41
| ~ spl27
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2360]) ).
cnf(sct134,plain,
( ~ spl103
| ~ spl41
| ~ spl27
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2361]) ).
fof(sdef101,definition,
( spl101
<=> e3 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p276,plain,
( ~ spl101
| e3 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
cnf(p2370,plain,
( ~ spl101
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p276]) ).
cnf(p2383,plain,
( ~ spl101
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2370]) ).
cnf(sct135,plain,
( ~ spl101
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2383]) ).
fof(sdef76,definition,
( spl76
<=> op(e3,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl76])],[avatar_definition]) ).
cnf(p228,plain,
( ~ spl76
| op(e3,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef76]) ).
cnf(p2405,plain,
( ~ spl76
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p79,p228]) ).
cnf(sct136,plain,
( ~ spl76
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p2405]) ).
cnf(p1539,plain,
( ~ spl62
| ~ spl60
| e2 = e0 ),
inference(superposition,[status(thm)],[p78,p76]) ).
cnf(p1556,plain,
( ~ spl62
| ~ spl60
| e0 != e0 ),
inference(superposition,[status(thm)],[p1539,c97]) ).
cnf(p2521,plain,
( ~ spl62
| ~ spl60
| $false ),
inference(equality_resolution,[status(thm)],[p1556]) ).
cnf(sct137,plain,
( ~ spl62
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p2521]) ).
cnf(p1883,plain,
( ~ spl14
| ~ spl12
| e2 = e0 ),
inference(superposition,[status(thm)],[p18,p16]) ).
cnf(p1893,plain,
( ~ spl14
| ~ spl12
| e0 != e0 ),
inference(superposition,[status(thm)],[p1883,c97]) ).
cnf(p2522,plain,
( ~ spl14
| ~ spl12
| $false ),
inference(equality_resolution,[status(thm)],[p1893]) ).
cnf(sct138,plain,
( ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p2522]) ).
fof(sdef80,definition,
( spl80
<=> e0 != op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p247,plain,
( ~ spl80
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
cnf(p1455,plain,
( ~ spl80
| ~ spl43
| e0 != op(e3,e3) ),
inference(superposition,[status(thm)],[p54,p247]) ).
cnf(p2542,plain,
( ~ spl80
| ~ spl60
| ~ spl43
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p1455]) ).
cnf(p2549,plain,
( ~ spl80
| ~ spl60
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2542]) ).
cnf(sct139,plain,
( ~ spl80
| ~ spl60
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2549]) ).
fof(sdef113,definition,
( spl113
<=> e3 != op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(p298,plain,
( ~ spl113
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
cnf(p1986,plain,
( ~ spl113
| ~ spl20
| e3 != op(e0,e0) ),
inference(superposition,[status(thm)],[p26,p298]) ).
cnf(p2551,plain,
( ~ spl113
| ~ spl20
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p1986]) ).
cnf(p2553,plain,
( ~ spl113
| ~ spl20
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2551]) ).
cnf(sct140,plain,
( ~ spl113
| ~ spl20
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2553]) ).
cnf(p1456,plain,
( ~ spl81
| ~ spl43
| e1 != op(op(e3,e3),e3) ),
inference(superposition,[status(thm)],[p54,p248]) ).
cnf(p2544,plain,
( ~ spl81
| ~ spl60
| ~ spl43
| e1 != op(e0,e3) ),
inference(superposition,[status(thm)],[p76,p1456]) ).
cnf(p2564,plain,
( ~ spl81
| ~ spl60
| ~ spl43
| ~ spl13
| e1 != e1 ),
inference(superposition,[status(thm)],[p17,p2544]) ).
cnf(p2565,plain,
( ~ spl81
| ~ spl60
| ~ spl43
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p2564]) ).
cnf(sct141,plain,
( ~ spl81
| ~ spl60
| ~ spl43
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p2565]) ).
cnf(c57,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1407,plain,
( ~ spl23
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p29,c57]) ).
cnf(p1588,plain,
( ~ spl38
| ~ spl23
| e3 != e2 ),
inference(superposition,[status(thm)],[p48,p1407]) ).
cnf(p2575,plain,
( ~ spl38
| ~ spl23
| ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1588,p1849]) ).
cnf(sct142,plain,
( ~ spl38
| ~ spl23
| ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2575]) ).
fof(sdef114,definition,
( spl114
<=> e3 != op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(p300,plain,
( ~ spl114
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
cnf(p2349,plain,
( ~ spl114
| ~ spl41
| e3 != op(e1,e1) ),
inference(superposition,[status(thm)],[p52,p300]) ).
cnf(p2583,plain,
( ~ spl114
| ~ spl41
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p2349]) ).
cnf(p2584,plain,
( ~ spl114
| ~ spl41
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2583]) ).
cnf(sct143,plain,
( ~ spl114
| ~ spl41
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2584]) ).
cnf(p2377,plain,
( ~ spl99
| ~ spl3
| e1 != op(e3,e3) ),
inference(superposition,[status(thm)],[p4,p274]) ).
cnf(p2610,plain,
( ~ spl99
| ~ spl61
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p2377]) ).
cnf(p2617,plain,
( ~ spl99
| ~ spl61
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2610]) ).
cnf(sct144,plain,
( ~ spl99
| ~ spl61
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2617]) ).
cnf(p1088,plain,
( ~ spl22
| e2 != op(e2,e1) ),
inference(superposition,[status(thm)],[p28,c57]) ).
cnf(p1272,plain,
( ~ spl36
| ~ spl22
| e2 != e0 ),
inference(superposition,[status(thm)],[p46,p1088]) ).
cnf(p2619,plain,
( ~ spl36
| ~ spl22
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1272,p1386]) ).
cnf(sct145,plain,
( ~ spl36
| ~ spl22
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2619]) ).
cnf(p2622,plain,
( ~ spl75
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p43,p218]) ).
cnf(sct146,plain,
( ~ spl75
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p2622]) ).
cnf(p1909,plain,
( ~ spl113
| ~ spl22
| e3 != op(e2,e2) ),
inference(superposition,[status(thm)],[p28,p298]) ).
cnf(p2629,plain,
( ~ spl113
| ~ spl43
| ~ spl22
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p1909]) ).
cnf(p2631,plain,
( ~ spl113
| ~ spl43
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2629]) ).
cnf(sct147,plain,
( ~ spl113
| ~ spl43
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2631]) ).
fof(sdef109,definition,
( spl109
<=> e2 != op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p290,plain,
( ~ spl109
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
cnf(p2380,plain,
( ~ spl109
| ~ spl3
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p4,p290]) ).
cnf(p2647,plain,
( ~ spl109
| ~ spl62
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p2380]) ).
cnf(p2652,plain,
( ~ spl109
| ~ spl62
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2647]) ).
cnf(sct148,plain,
( ~ spl109
| ~ spl62
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2652]) ).
cnf(p343,plain,
( ~ spl10
| ~ spl9
| e1 = e2 ),
inference(superposition,[status(thm)],[p12,p13]) ).
cnf(p2690,plain,
( ~ spl10
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p343,c99]) ).
cnf(sct149,plain,
( ~ spl10
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2690]) ).
cnf(p1541,plain,
( ~ spl85
| ~ spl60
| e2 != e0 ),
inference(superposition,[status(thm)],[p76,p253]) ).
cnf(p2708,plain,
( ~ spl85
| ~ spl60
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p324,p1541]) ).
cnf(sct150,plain,
( ~ spl85
| ~ spl60
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2708]) ).
cnf(c63,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1420,plain,
( ~ spl26
| e2 != op(e2,e2) ),
inference(superposition,[status(thm)],[p33,c63]) ).
cnf(p2007,plain,
( ~ spl40
| ~ spl26
| e2 != e0 ),
inference(superposition,[status(thm)],[p51,p1420]) ).
cnf(p2709,plain,
( ~ spl40
| ~ spl26
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p324,p2007]) ).
cnf(sct151,plain,
( ~ spl40
| ~ spl26
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2709]) ).
cnf(c71,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1249,plain,
( ~ spl46
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p58,c71]) ).
cnf(p2269,plain,
( ~ spl60
| ~ spl46
| e2 != e0 ),
inference(superposition,[status(thm)],[p76,p1249]) ).
cnf(p2720,plain,
( ~ spl60
| ~ spl46
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p324,p2269]) ).
cnf(sct152,plain,
( ~ spl60
| ~ spl46
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2720]) ).
cnf(p2746,plain,
( ~ spl85
| ~ spl60
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1386,p1541]) ).
cnf(sct153,plain,
( ~ spl85
| ~ spl60
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2746]) ).
fof(sdef70,definition,
( spl70
<=> op(e1,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p193,plain,
( ~ spl70
| op(e1,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
cnf(p1409,plain,
( ~ spl70
| ~ spl23
| e3 != e1 ),
inference(superposition,[status(thm)],[p29,p193]) ).
cnf(p2747,plain,
( ~ spl70
| ~ spl23
| ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1409,p1783]) ).
cnf(sct154,plain,
( ~ spl70
| ~ spl23
| ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2747]) ).
cnf(p1414,plain,
( ~ spl86
| ~ spl23
| e0 != op(e3,e3) ),
inference(superposition,[status(thm)],[p29,p255]) ).
cnf(p2764,plain,
( ~ spl86
| ~ spl60
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p1414]) ).
cnf(p2770,plain,
( ~ spl86
| ~ spl60
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2764]) ).
cnf(sct155,plain,
( ~ spl86
| ~ spl60
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2770]) ).
cnf(p2006,plain,
( ~ spl114
| ~ spl40
| e3 != op(e0,e0) ),
inference(superposition,[status(thm)],[p51,p300]) ).
cnf(p2774,plain,
( ~ spl114
| ~ spl40
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p2006]) ).
cnf(p2775,plain,
( ~ spl114
| ~ spl40
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2774]) ).
cnf(sct156,plain,
( ~ spl114
| ~ spl40
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2775]) ).
fof(sdef100,definition,
( spl100
<=> e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p275,plain,
( ~ spl100
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
cnf(p2378,plain,
( ~ spl100
| ~ spl3
| e2 != op(op(e3,e3),e3) ),
inference(superposition,[status(thm)],[p4,p275]) ).
cnf(p2557,plain,
( ~ spl100
| ~ spl60
| ~ spl3
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p76,p2378]) ).
cnf(p2778,plain,
( ~ spl100
| ~ spl60
| ~ spl14
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p2557]) ).
cnf(p2779,plain,
( ~ spl100
| ~ spl60
| ~ spl14
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2778]) ).
cnf(sct157,plain,
( ~ spl100
| ~ spl60
| ~ spl14
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2779]) ).
cnf(p1551,plain,
( ~ spl84
| ~ spl60
| e1 != op(op(e0,e0),e0) ),
inference(superposition,[status(thm)],[p76,p252]) ).
cnf(p2561,plain,
( ~ spl84
| ~ spl60
| ~ spl3
| e1 != op(e3,e0) ),
inference(superposition,[status(thm)],[p4,p1551]) ).
cnf(p2780,plain,
( ~ spl84
| ~ spl60
| ~ spl49
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p62,p2561]) ).
cnf(p2781,plain,
( ~ spl84
| ~ spl60
| ~ spl49
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2780]) ).
cnf(sct158,plain,
( ~ spl84
| ~ spl60
| ~ spl49
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2781]) ).
cnf(p1853,plain,
( ~ spl65
| ~ spl10
| e2 != e0 ),
inference(superposition,[status(thm)],[p13,p170]) ).
cnf(p2799,plain,
( ~ spl65
| ~ spl18
| ~ spl16
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1386,p1853]) ).
cnf(sct159,plain,
( ~ spl65
| ~ spl18
| ~ spl16
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2799]) ).
cnf(p2800,plain,
( ~ spl60
| ~ spl46
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1386,p2269]) ).
cnf(sct160,plain,
( ~ spl60
| ~ spl46
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2800]) ).
fof(sdef87,definition,
( spl87
<=> e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(p256,plain,
( ~ spl87
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef87]) ).
cnf(p1415,plain,
( ~ spl87
| ~ spl23
| e2 != op(op(e3,e3),e3) ),
inference(superposition,[status(thm)],[p29,p256]) ).
cnf(p2765,plain,
( ~ spl87
| ~ spl60
| ~ spl23
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p76,p1415]) ).
cnf(p2802,plain,
( ~ spl87
| ~ spl60
| ~ spl23
| ~ spl14
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p2765]) ).
cnf(p2803,plain,
( ~ spl87
| ~ spl60
| ~ spl23
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p2802]) ).
cnf(sct161,plain,
( ~ spl87
| ~ spl60
| ~ spl23
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p2803]) ).
cnf(p1605,plain,
( ~ spl81
| ~ spl62
| ~ spl43
| e1 != op(e2,e3) ),
inference(superposition,[status(thm)],[p78,p1456]) ).
cnf(p2806,plain,
( ~ spl81
| ~ spl62
| ~ spl45
| ~ spl43
| e1 != e1 ),
inference(superposition,[status(thm)],[p57,p1605]) ).
cnf(p2807,plain,
( ~ spl81
| ~ spl62
| ~ spl45
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2806]) ).
cnf(sct162,plain,
( ~ spl81
| ~ spl62
| ~ spl45
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2807]) ).
fof(sdef98,definition,
( spl98
<=> e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl98])],[avatar_definition]) ).
cnf(p272,plain,
( ~ spl98
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef98]) ).
cnf(p1582,plain,
( ~ spl98
| ~ spl62
| e0 != op(op(e2,e2),e2) ),
inference(superposition,[status(thm)],[p78,p272]) ).
cnf(p1620,plain,
( ~ spl98
| ~ spl62
| ~ spl43
| e0 != op(e3,e2) ),
inference(superposition,[status(thm)],[p54,p1582]) ).
cnf(p2810,plain,
( ~ spl98
| ~ spl62
| ~ spl56
| ~ spl43
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p1620]) ).
cnf(p2811,plain,
( ~ spl98
| ~ spl62
| ~ spl56
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2810]) ).
cnf(sct163,plain,
( ~ spl98
| ~ spl62
| ~ spl56
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2811]) ).
cnf(p1908,plain,
( ~ spl107
| ~ spl22
| e0 != op(op(e2,e2),e2) ),
inference(superposition,[status(thm)],[p28,p286]) ).
cnf(p2630,plain,
( ~ spl107
| ~ spl43
| ~ spl22
| e0 != op(e3,e2) ),
inference(superposition,[status(thm)],[p54,p1908]) ).
cnf(p2813,plain,
( ~ spl107
| ~ spl56
| ~ spl43
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p2630]) ).
cnf(p2814,plain,
( ~ spl107
| ~ spl56
| ~ spl43
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2813]) ).
cnf(sct164,plain,
( ~ spl107
| ~ spl56
| ~ spl43
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2814]) ).
cnf(p1349,plain,
( ~ spl98
| ~ spl61
| e0 != op(op(e1,e1),e1) ),
inference(superposition,[status(thm)],[p77,p272]) ).
cnf(p2362,plain,
( ~ spl98
| ~ spl61
| ~ spl23
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p29,p1349]) ).
cnf(p2815,plain,
( ~ spl98
| ~ spl61
| ~ spl52
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p2362]) ).
cnf(p2816,plain,
( ~ spl98
| ~ spl61
| ~ spl52
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2815]) ).
cnf(sct165,plain,
( ~ spl98
| ~ spl61
| ~ spl52
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2816]) ).
cnf(p2582,plain,
( ~ spl96
| ~ spl41
| ~ spl23
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p29,p1342]) ).
cnf(p2820,plain,
( ~ spl96
| ~ spl52
| ~ spl41
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p2582]) ).
cnf(p2821,plain,
( ~ spl96
| ~ spl52
| ~ spl41
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2820]) ).
cnf(sct166,plain,
( ~ spl96
| ~ spl52
| ~ spl41
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2821]) ).
cnf(p2526,plain,
( ~ spl66
| ~ spl6
| e2 != e0 ),
inference(superposition,[status(thm)],[p8,p173]) ).
cnf(p2839,plain,
( ~ spl66
| ~ spl18
| ~ spl16
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1386,p2526]) ).
cnf(sct167,plain,
( ~ spl66
| ~ spl18
| ~ spl16
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2839]) ).
cnf(c75,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1265,plain,
( ~ spl8
| op(e0,e1) != e0 ),
inference(superposition,[status(thm)],[p11,c75]) ).
cnf(p2530,plain,
( ~ spl8
| ~ spl6
| e2 != e0 ),
inference(superposition,[status(thm)],[p8,p1265]) ).
cnf(p2840,plain,
( ~ spl18
| ~ spl16
| ~ spl8
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1386,p2530]) ).
cnf(sct168,plain,
( ~ spl18
| ~ spl16
| ~ spl8
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2840]) ).
cnf(p2843,plain,
( ~ spl3
| ~ spl1
| e3 = e1 ),
inference(superposition,[status(thm)],[p4,p2]) ).
cnf(p1226,plain,
( ~ spl69
| ~ spl27
| e3 != e1 ),
inference(superposition,[status(thm)],[p34,p190]) ).
cnf(p2879,plain,
( ~ spl69
| ~ spl27
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2843,p1226]) ).
cnf(sct169,plain,
( ~ spl69
| ~ spl27
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2879]) ).
cnf(p1238,plain,
( ~ spl82
| ~ spl41
| e3 != e1 ),
inference(superposition,[status(thm)],[p52,p249]) ).
cnf(p2884,plain,
( ~ spl82
| ~ spl41
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2843,p1238]) ).
cnf(sct170,plain,
( ~ spl82
| ~ spl41
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2884]) ).
cnf(p1216,plain,
( ~ spl27
| e3 != op(e2,e2) ),
inference(superposition,[status(thm)],[p34,c63]) ).
cnf(p1284,plain,
( ~ spl41
| ~ spl27
| e3 != e1 ),
inference(superposition,[status(thm)],[p52,p1216]) ).
cnf(p2892,plain,
( ~ spl41
| ~ spl27
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2843,p1284]) ).
cnf(sct171,plain,
( ~ spl41
| ~ spl27
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2892]) ).
fof(sdef111,definition,
( spl111
<=> e1 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(p294,plain,
( ~ spl111
| e1 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef111]) ).
cnf(p2851,plain,
( ~ spl111
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p294]) ).
cnf(p2893,plain,
( ~ spl111
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2851]) ).
cnf(sct172,plain,
( ~ spl111
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2893]) ).
cnf(p2900,plain,
( ~ spl70
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p27,p193]) ).
cnf(sct173,plain,
( ~ spl70
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2900]) ).
cnf(p1975,plain,
( ~ spl92
| ~ spl20
| e2 != e0 ),
inference(superposition,[status(thm)],[p26,p263]) ).
cnf(p2917,plain,
( ~ spl92
| ~ spl20
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1386,p1975]) ).
cnf(sct174,plain,
( ~ spl92
| ~ spl20
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2917]) ).
cnf(c95,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1319,plain,
( ~ spl58
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p73,c95]) ).
cnf(p2270,plain,
( ~ spl60
| ~ spl58
| e2 != e0 ),
inference(superposition,[status(thm)],[p76,p1319]) ).
cnf(p2923,plain,
( ~ spl60
| ~ spl58
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1386,p2270]) ).
cnf(sct175,plain,
( ~ spl60
| ~ spl58
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2923]) ).
cnf(p1322,plain,
( ~ spl80
| ~ spl41
| e0 != op(e1,e1) ),
inference(superposition,[status(thm)],[p52,p247]) ).
cnf(p2926,plain,
( ~ spl80
| ~ spl41
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p1322]) ).
cnf(p2932,plain,
( ~ spl80
| ~ spl41
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p2926]) ).
cnf(sct176,plain,
( ~ spl80
| ~ spl41
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p2932]) ).
fof(sdef97,definition,
( spl97
<=> e1 != op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p271,plain,
( ~ spl97
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
cnf(p1553,plain,
( ~ spl97
| ~ spl60
| e1 != op(e0,e0) ),
inference(superposition,[status(thm)],[p76,p271]) ).
cnf(p2938,plain,
( ~ spl97
| ~ spl60
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p1553]) ).
cnf(p2939,plain,
( ~ spl97
| ~ spl60
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2938]) ).
cnf(sct177,plain,
( ~ spl97
| ~ spl60
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2939]) ).
cnf(p1336,plain,
( ~ spl93
| ~ spl41
| e3 != op(op(e1,e1),e1) ),
inference(superposition,[status(thm)],[p52,p265]) ).
cnf(p2929,plain,
( ~ spl93
| ~ spl41
| ~ spl20
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p26,p1336]) ).
cnf(p2944,plain,
( ~ spl93
| ~ spl41
| ~ spl20
| ~ spl7
| e3 != e3 ),
inference(superposition,[status(thm)],[p9,p2929]) ).
cnf(p2946,plain,
( ~ spl93
| ~ spl41
| ~ spl20
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p2944]) ).
cnf(sct178,plain,
( ~ spl93
| ~ spl41
| ~ spl20
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p2946]) ).
cnf(c93,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1313,plain,
( ~ spl55
| e3 != op(e3,e2) ),
inference(superposition,[status(thm)],[p69,c93]) ).
cnf(p1331,plain,
( ~ spl58
| ~ spl55
| e3 != e2 ),
inference(superposition,[status(thm)],[p73,p1313]) ).
cnf(p2947,plain,
( ~ spl58
| ~ spl55
| ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1331,p1849]) ).
cnf(sct179,plain,
( ~ spl58
| ~ spl55
| ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2947]) ).
cnf(p2948,plain,
( ~ spl61
| ~ spl55
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p1333,p2843]) ).
cnf(sct180,plain,
( ~ spl61
| ~ spl55
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2948]) ).
cnf(p2854,plain,
( ~ spl100
| ~ spl1
| e2 != op(op(e1,e1),e1) ),
inference(superposition,[status(thm)],[p2,p275]) ).
cnf(p2945,plain,
( ~ spl100
| ~ spl20
| ~ spl1
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p26,p2854]) ).
cnf(p2956,plain,
( ~ spl100
| ~ spl20
| ~ spl6
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p2945]) ).
cnf(p2957,plain,
( ~ spl100
| ~ spl20
| ~ spl6
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2956]) ).
cnf(sct181,plain,
( ~ spl100
| ~ spl20
| ~ spl6
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2957]) ).
cnf(p2962,plain,
( ~ spl65
| ~ spl10
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p324,p1853]) ).
cnf(sct182,plain,
( ~ spl65
| ~ spl10
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2962]) ).
cnf(p2963,plain,
( ~ spl70
| ~ spl23
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p1409,p2843]) ).
cnf(sct183,plain,
( ~ spl70
| ~ spl23
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2963]) ).
cnf(p2372,plain,
( ~ spl3
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p4,c73]) ).
cnf(p2578,plain,
( ~ spl10
| ~ spl3
| e3 != e2 ),
inference(superposition,[status(thm)],[p13,p2372]) ).
cnf(p3001,plain,
( ~ spl11
| ~ spl10
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p1849,p2578]) ).
cnf(sct184,plain,
( ~ spl11
| ~ spl10
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3001]) ).
cnf(c76,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1704,plain,
( ~ spl7
| e3 != op(e0,e3) ),
inference(superposition,[status(thm)],[p9,c76]) ).
cnf(p2021,plain,
( ~ spl12
| ~ spl7
| e3 != e0 ),
inference(superposition,[status(thm)],[p16,p1704]) ).
cnf(p3008,plain,
( ~ spl12
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p2021,p2184]) ).
cnf(sct185,plain,
( ~ spl12
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p3008]) ).
cnf(p1320,plain,
( ~ spl61
| op(e3,e2) != e1 ),
inference(superposition,[status(thm)],[p77,c95]) ).
cnf(p2605,plain,
( ~ spl61
| ~ spl59
| e3 != e1 ),
inference(superposition,[status(thm)],[p74,p1320]) ).
cnf(p3009,plain,
( ~ spl61
| ~ spl59
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2605,p2843]) ).
cnf(sct186,plain,
( ~ spl61
| ~ spl59
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3009]) ).
cnf(c52,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1098,plain,
( ~ spl48
| op(e1,e0) != e0 ),
inference(superposition,[status(thm)],[p61,c52]) ).
cnf(p3010,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1098,p21]) ).
cnf(sct187,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3010]) ).
cnf(p1218,plain,
( ~ spl64
| ~ spl15
| e3 != e0 ),
inference(superposition,[status(thm)],[p19,p168]) ).
cnf(p3012,plain,
( ~ spl64
| ~ spl15
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p1218,p2184]) ).
cnf(sct188,plain,
( ~ spl64
| ~ spl15
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p3012]) ).
cnf(c66,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1228,plain,
( ~ spl15
| e3 != op(e1,e3) ),
inference(superposition,[status(thm)],[p19,c66]) ).
cnf(p1434,plain,
( ~ spl29
| ~ spl15
| e3 != e1 ),
inference(superposition,[status(thm)],[p37,p1228]) ).
cnf(p3013,plain,
( ~ spl29
| ~ spl15
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p1434,p2843]) ).
cnf(sct189,plain,
( ~ spl29
| ~ spl15
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3013]) ).
cnf(p2841,plain,
( ~ spl109
| ~ spl1
| e2 != op(e1,e1) ),
inference(superposition,[status(thm)],[p2,p290]) ).
cnf(p3029,plain,
( ~ spl109
| ~ spl22
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p2841]) ).
cnf(p3033,plain,
( ~ spl109
| ~ spl22
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3029]) ).
cnf(sct190,plain,
( ~ spl109
| ~ spl22
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3033]) ).
cnf(p1347,plain,
( ~ spl93
| ~ spl41
| ~ spl22
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p28,p1336]) ).
cnf(p3036,plain,
( ~ spl93
| ~ spl41
| ~ spl39
| ~ spl22
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p1347]) ).
cnf(p3038,plain,
( ~ spl93
| ~ spl41
| ~ spl39
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p3036]) ).
cnf(sct191,plain,
( ~ spl93
| ~ spl41
| ~ spl39
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p3038]) ).
cnf(p1581,plain,
( ~ spl97
| ~ spl62
| e1 != op(e2,e2) ),
inference(superposition,[status(thm)],[p78,p271]) ).
cnf(p3041,plain,
( ~ spl97
| ~ spl62
| ~ spl41
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p1581]) ).
cnf(p3045,plain,
( ~ spl97
| ~ spl62
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p3041]) ).
cnf(sct192,plain,
( ~ spl97
| ~ spl62
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p3045]) ).
cnf(p2357,plain,
( ~ spl107
| ~ spl41
| ~ spl22
| e0 != op(e1,e2) ),
inference(superposition,[status(thm)],[p52,p1908]) ).
cnf(p3046,plain,
( ~ spl107
| ~ spl41
| ~ spl24
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p31,p2357]) ).
cnf(p3047,plain,
( ~ spl107
| ~ spl41
| ~ spl24
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p3046]) ).
cnf(sct193,plain,
( ~ spl107
| ~ spl41
| ~ spl24
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p3047]) ).
cnf(p2855,plain,
( ~ spl103
| ~ spl1
| e3 != op(op(e1,e1),e1) ),
inference(superposition,[status(thm)],[p2,p280]) ).
cnf(p3031,plain,
( ~ spl103
| ~ spl22
| ~ spl1
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p28,p2855]) ).
cnf(p3048,plain,
( ~ spl103
| ~ spl39
| ~ spl22
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p3031]) ).
cnf(p3049,plain,
( ~ spl103
| ~ spl39
| ~ spl22
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3048]) ).
cnf(sct194,plain,
( ~ spl103
| ~ spl39
| ~ spl22
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3049]) ).
cnf(c67,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1232,plain,
( ~ spl15
| e3 != op(e2,e3) ),
inference(superposition,[status(thm)],[p19,c67]) ).
cnf(p1293,plain,
( ~ spl46
| ~ spl15
| e3 != e2 ),
inference(superposition,[status(thm)],[p58,p1232]) ).
cnf(p3052,plain,
( ~ spl46
| ~ spl15
| ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1293,p1849]) ).
cnf(sct195,plain,
( ~ spl46
| ~ spl15
| ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3052]) ).
cnf(p1852,plain,
( ~ spl10
| e2 != op(e3,e2) ),
inference(superposition,[status(thm)],[p13,c62]) ).
cnf(p2646,plain,
( ~ spl56
| ~ spl10
| e2 != e0 ),
inference(superposition,[status(thm)],[p71,p1852]) ).
cnf(p3072,plain,
( ~ spl56
| ~ spl18
| ~ spl16
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1386,p2646]) ).
cnf(sct196,plain,
( ~ spl56
| ~ spl18
| ~ spl16
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3072]) ).
cnf(p2384,plain,
( ~ spl64
| ~ spl14
| e2 != e0 ),
inference(superposition,[status(thm)],[p18,p168]) ).
cnf(p3074,plain,
( ~ spl64
| ~ spl18
| ~ spl16
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p1386,p2384]) ).
cnf(sct197,plain,
( ~ spl64
| ~ spl18
| ~ spl16
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p3074]) ).
fof(sdef89,definition,
( spl89
<=> e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(p259,plain,
( ~ spl89
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef89]) ).
cnf(p1332,plain,
( ~ spl89
| ~ spl61
| e2 != op(op(e1,e1),e1) ),
inference(superposition,[status(thm)],[p77,p259]) ).
cnf(p2581,plain,
( ~ spl89
| ~ spl61
| ~ spl23
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p29,p1332]) ).
cnf(p2819,plain,
( ~ spl89
| ~ spl61
| ~ spl52
| ~ spl23
| e2 != e0 ),
inference(superposition,[status(thm)],[p66,p2581]) ).
cnf(p3076,plain,
( ~ spl89
| ~ spl61
| ~ spl52
| ~ spl23
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1386,p2819]) ).
cnf(sct198,plain,
( ~ spl89
| ~ spl61
| ~ spl52
| ~ spl23
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3076]) ).
cnf(c56,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1474,plain,
( ~ spl52
| op(e0,e1) != e0 ),
inference(superposition,[status(thm)],[p66,c56]) ).
cnf(p2894,plain,
( ~ spl52
| ~ spl6
| e2 != e0 ),
inference(superposition,[status(thm)],[p8,p1474]) ).
cnf(p3077,plain,
( ~ spl52
| ~ spl18
| ~ spl16
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1386,p2894]) ).
cnf(sct199,plain,
( ~ spl52
| ~ spl18
| ~ spl16
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p3077]) ).
cnf(p2857,plain,
( ~ spl115
| ~ spl1
| e3 != op(e1,e1) ),
inference(superposition,[status(thm)],[p2,p302]) ).
cnf(p3082,plain,
( ~ spl115
| ~ spl23
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p2857]) ).
cnf(p3085,plain,
( ~ spl115
| ~ spl23
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3082]) ).
cnf(sct200,plain,
( ~ spl115
| ~ spl23
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3085]) ).
cnf(p3090,plain,
( ~ spl89
| ~ spl61
| ~ spl54
| ~ spl23
| e2 != e2 ),
inference(superposition,[status(thm)],[p68,p2581]) ).
cnf(p3091,plain,
( ~ spl89
| ~ spl61
| ~ spl54
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p3090]) ).
cnf(sct201,plain,
( ~ spl89
| ~ spl61
| ~ spl54
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p3091]) ).
fof(sdef95,definition,
( spl95
<=> e1 != op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(p268,plain,
( ~ spl95
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef95]) ).
cnf(p1458,plain,
( ~ spl95
| ~ spl43
| e1 != op(e3,e3) ),
inference(superposition,[status(thm)],[p54,p268]) ).
cnf(p3092,plain,
( ~ spl95
| ~ spl61
| ~ spl43
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p1458]) ).
cnf(p3097,plain,
( ~ spl95
| ~ spl61
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p3092]) ).
cnf(sct202,plain,
( ~ spl95
| ~ spl61
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p3097]) ).
cnf(p2608,plain,
( ~ spl107
| ~ spl61
| ~ spl23
| e0 != op(e1,e3) ),
inference(superposition,[status(thm)],[p77,p1439]) ).
cnf(p3099,plain,
( ~ spl107
| ~ spl61
| ~ spl28
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p36,p2608]) ).
cnf(p3100,plain,
( ~ spl107
| ~ spl61
| ~ spl28
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p3099]) ).
cnf(sct203,plain,
( ~ spl107
| ~ spl61
| ~ spl28
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p3100]) ).
cnf(p3083,plain,
( ~ spl100
| ~ spl23
| ~ spl1
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p29,p2854]) ).
cnf(p3101,plain,
( ~ spl100
| ~ spl54
| ~ spl23
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p68,p3083]) ).
cnf(p3102,plain,
( ~ spl100
| ~ spl54
| ~ spl23
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3101]) ).
cnf(sct204,plain,
( ~ spl100
| ~ spl54
| ~ spl23
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3102]) ).
cnf(p1706,plain,
( ~ spl8
| ~ spl7
| e3 != e0 ),
inference(superposition,[status(thm)],[p9,p1265]) ).
cnf(p3104,plain,
( ~ spl8
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p1706,p2184]) ).
cnf(sct205,plain,
( ~ spl8
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p3104]) ).
cnf(p3139,plain,
( ~ spl8
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p324,p2530]) ).
cnf(sct206,plain,
( ~ spl8
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p3139]) ).
cnf(p1327,plain,
( ~ spl83
| ~ spl61
| e0 != op(e1,e1) ),
inference(superposition,[status(thm)],[p77,p251]) ).
cnf(p3142,plain,
( ~ spl83
| ~ spl61
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p1327]) ).
cnf(p3148,plain,
( ~ spl83
| ~ spl61
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p3142]) ).
cnf(sct207,plain,
( ~ spl83
| ~ spl61
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p3148]) ).
cnf(p2003,plain,
( ~ spl95
| ~ spl40
| e1 != op(e0,e0) ),
inference(superposition,[status(thm)],[p51,p268]) ).
cnf(p3150,plain,
( ~ spl95
| ~ spl40
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p2003]) ).
cnf(p3152,plain,
( ~ spl95
| ~ spl40
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3150]) ).
cnf(sct208,plain,
( ~ spl95
| ~ spl40
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3152]) ).
cnf(p1983,plain,
( ~ spl91
| ~ spl20
| e3 != op(op(e0,e0),e0) ),
inference(superposition,[status(thm)],[p26,p262]) ).
cnf(p2951,plain,
( ~ spl91
| ~ spl20
| ~ spl1
| e3 != op(e1,e0) ),
inference(superposition,[status(thm)],[p2,p1983]) ).
cnf(p3156,plain,
( ~ spl91
| ~ spl20
| ~ spl19
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p24,p2951]) ).
cnf(p3157,plain,
( ~ spl91
| ~ spl20
| ~ spl19
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3156]) ).
cnf(sct209,plain,
( ~ spl91
| ~ spl20
| ~ spl19
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3157]) ).
cnf(p3144,plain,
( ~ spl89
| ~ spl61
| ~ spl20
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p26,p1332]) ).
cnf(p3158,plain,
( ~ spl89
| ~ spl61
| ~ spl20
| ~ spl6
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p3144]) ).
cnf(p3159,plain,
( ~ spl89
| ~ spl61
| ~ spl20
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p3158]) ).
cnf(sct210,plain,
( ~ spl89
| ~ spl61
| ~ spl20
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p3159]) ).
cnf(c54,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1971,plain,
( ~ spl20
| op(e0,e1) != e0 ),
inference(superposition,[status(thm)],[p26,c54]) ).
cnf(p2531,plain,
( ~ spl20
| ~ spl6
| e2 != e0 ),
inference(superposition,[status(thm)],[p8,p1971]) ).
cnf(p3171,plain,
( ~ spl20
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p324,p2531]) ).
cnf(sct211,plain,
( ~ spl20
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p3171]) ).
fof(sdef67,definition,
( spl67
<=> op(e0,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p178,plain,
( ~ spl67
| op(e0,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
cnf(p3177,plain,
( ~ spl67
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1,p178]) ).
cnf(sct212,plain,
( ~ spl67
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3177]) ).
cnf(c72,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2189,plain,
( ~ spl4
| op(e0,e0) != e0 ),
inference(superposition,[status(thm)],[p6,c72]) ).
cnf(p3201,plain,
( ~ spl4
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1,p2189]) ).
cnf(sct213,plain,
( ~ spl4
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3201]) ).
fof(f0,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f0_nnf,plain,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp0,plain,
( spl3
| spl2
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c0,sdef0,sdef1,sdef2,sdef3]) ).
cnf(c1,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp1,plain,
( spl7
| spl6
| spl5
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c1,sdef4,sdef5,sdef6,sdef7]) ).
cnf(c2,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp2,plain,
( spl11
| spl10
| spl9
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c2,sdef8,sdef9,sdef10,sdef11]) ).
cnf(c3,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp3,plain,
( spl15
| spl14
| spl13
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c3,sdef12,sdef13,sdef14,sdef15]) ).
cnf(c4,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp4,plain,
( spl19
| spl18
| spl17
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c4,sdef16,sdef17,sdef18,sdef19]) ).
cnf(c5,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp5,plain,
( spl23
| spl22
| spl21
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c5,sdef20,sdef21,sdef22,sdef23]) ).
cnf(c6,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp6,plain,
( spl27
| spl26
| spl25
| spl24 ),
inference(avatar_split_clause,[status(thm)],[c6,sdef24,sdef25,sdef26,sdef27]) ).
cnf(c7,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp7,plain,
( spl31
| spl30
| spl29
| spl28 ),
inference(avatar_split_clause,[status(thm)],[c7,sdef28,sdef29,sdef30,sdef31]) ).
cnf(c8,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp8,plain,
( spl35
| spl34
| spl33
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c8,sdef32,sdef33,sdef34,sdef35]) ).
cnf(c9,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp9,plain,
( spl39
| spl38
| spl37
| spl36 ),
inference(avatar_split_clause,[status(thm)],[c9,sdef36,sdef37,sdef38,sdef39]) ).
cnf(c10,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp10,plain,
( spl43
| spl42
| spl41
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c10,sdef40,sdef41,sdef42,sdef43]) ).
cnf(c11,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp11,plain,
( spl47
| spl46
| spl45
| spl44 ),
inference(avatar_split_clause,[status(thm)],[c11,sdef44,sdef45,sdef46,sdef47]) ).
cnf(c12,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp12,plain,
( spl51
| spl50
| spl49
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c12,sdef48,sdef49,sdef50,sdef51]) ).
cnf(c13,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp13,plain,
( spl55
| spl54
| spl53
| spl52 ),
inference(avatar_split_clause,[status(thm)],[c13,sdef52,sdef53,sdef54,sdef55]) ).
cnf(c14,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp14,plain,
( spl59
| spl58
| spl57
| spl56 ),
inference(avatar_split_clause,[status(thm)],[c14,sdef56,sdef57,sdef58,sdef59]) ).
cnf(c15,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp15,plain,
( spl63
| spl62
| spl61
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c15,sdef60,sdef61,sdef62,sdef63]) ).
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1_nnf,plain,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c16,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp16,plain,
( spl12
| spl8
| spl4
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c16,sdef0,sdef4,sdef8,sdef12]) ).
cnf(c17,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp17,plain,
( spl48
| spl32
| spl16
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c17,sdef0,sdef16,sdef32,sdef48]) ).
cnf(c18,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp18,plain,
( spl13
| spl9
| spl5
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c18,sdef1,sdef5,sdef9,sdef13]) ).
cnf(c19,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp19,plain,
( spl49
| spl33
| spl17
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c19,sdef1,sdef17,sdef33,sdef49]) ).
cnf(c20,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp20,plain,
( spl14
| spl10
| spl6
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c20,sdef2,sdef6,sdef10,sdef14]) ).
cnf(c21,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp21,plain,
( spl50
| spl34
| spl18
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c21,sdef2,sdef18,sdef34,sdef50]) ).
cnf(c22,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp22,plain,
( spl15
| spl11
| spl7
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c22,sdef3,sdef7,sdef11,sdef15]) ).
cnf(c23,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp23,plain,
( spl51
| spl35
| spl19
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c23,sdef3,sdef19,sdef35,sdef51]) ).
cnf(c24,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp24,plain,
( spl28
| spl24
| spl20
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c24,sdef16,sdef20,sdef24,sdef28]) ).
cnf(c25,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp25,plain,
( spl52
| spl36
| spl20
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c25,sdef4,sdef20,sdef36,sdef52]) ).
cnf(c26,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp26,plain,
( spl29
| spl25
| spl21
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c26,sdef17,sdef21,sdef25,sdef29]) ).
cnf(c27,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp27,plain,
( spl53
| spl37
| spl21
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c27,sdef5,sdef21,sdef37,sdef53]) ).
cnf(c28,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp28,plain,
( spl30
| spl26
| spl22
| spl18 ),
inference(avatar_split_clause,[status(thm)],[c28,sdef18,sdef22,sdef26,sdef30]) ).
cnf(c29,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp29,plain,
( spl54
| spl38
| spl22
| spl6 ),
inference(avatar_split_clause,[status(thm)],[c29,sdef6,sdef22,sdef38,sdef54]) ).
cnf(c30,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp30,plain,
( spl31
| spl27
| spl23
| spl19 ),
inference(avatar_split_clause,[status(thm)],[c30,sdef19,sdef23,sdef27,sdef31]) ).
cnf(c31,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp31,plain,
( spl55
| spl39
| spl23
| spl7 ),
inference(avatar_split_clause,[status(thm)],[c31,sdef7,sdef23,sdef39,sdef55]) ).
cnf(c32,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp32,plain,
( spl44
| spl40
| spl36
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c32,sdef32,sdef36,sdef40,sdef44]) ).
cnf(c33,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp33,plain,
( spl56
| spl40
| spl24
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c33,sdef8,sdef24,sdef40,sdef56]) ).
cnf(c34,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp34,plain,
( spl45
| spl41
| spl37
| spl33 ),
inference(avatar_split_clause,[status(thm)],[c34,sdef33,sdef37,sdef41,sdef45]) ).
cnf(c35,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp35,plain,
( spl57
| spl41
| spl25
| spl9 ),
inference(avatar_split_clause,[status(thm)],[c35,sdef9,sdef25,sdef41,sdef57]) ).
cnf(c36,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp36,plain,
( spl46
| spl42
| spl38
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c36,sdef34,sdef38,sdef42,sdef46]) ).
cnf(c37,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp37,plain,
( spl58
| spl42
| spl26
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c37,sdef10,sdef26,sdef42,sdef58]) ).
cnf(c38,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp38,plain,
( spl47
| spl43
| spl39
| spl35 ),
inference(avatar_split_clause,[status(thm)],[c38,sdef35,sdef39,sdef43,sdef47]) ).
cnf(c39,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp39,plain,
( spl59
| spl43
| spl27
| spl11 ),
inference(avatar_split_clause,[status(thm)],[c39,sdef11,sdef27,sdef43,sdef59]) ).
cnf(c40,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp40,plain,
( spl60
| spl56
| spl52
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c40,sdef48,sdef52,sdef56,sdef60]) ).
cnf(c41,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp41,plain,
( spl60
| spl44
| spl28
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c41,sdef12,sdef28,sdef44,sdef60]) ).
cnf(c42,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp42,plain,
( spl61
| spl57
| spl53
| spl49 ),
inference(avatar_split_clause,[status(thm)],[c42,sdef49,sdef53,sdef57,sdef61]) ).
cnf(c43,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp43,plain,
( spl61
| spl45
| spl29
| spl13 ),
inference(avatar_split_clause,[status(thm)],[c43,sdef13,sdef29,sdef45,sdef61]) ).
cnf(c44,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp44,plain,
( spl62
| spl58
| spl54
| spl50 ),
inference(avatar_split_clause,[status(thm)],[c44,sdef50,sdef54,sdef58,sdef62]) ).
cnf(c45,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp45,plain,
( spl62
| spl46
| spl30
| spl14 ),
inference(avatar_split_clause,[status(thm)],[c45,sdef14,sdef30,sdef46,sdef62]) ).
cnf(c46,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp46,plain,
( spl63
| spl59
| spl55
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c46,sdef51,sdef55,sdef59,sdef63]) ).
cnf(c47,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp47,plain,
( spl63
| spl47
| spl31
| spl15 ),
inference(avatar_split_clause,[status(thm)],[c47,sdef15,sdef31,sdef47,sdef63]) ).
fof(f4,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) )
& ( ( op(e2,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) )
& ( ( op(e1,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) )
& ( ( op(e0,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) )
& ( ( op(e2,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) )
& ( ( op(e1,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) )
& ( ( op(e0,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) )
& ( ( op(e2,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) )
& ( ( op(e1,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) )
& ( ( op(e0,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c102,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp48,plain,
( spl51
| spl34
| spl17
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef0,sdef17,sdef34,sdef51]) ).
cnf(c103,plain,
( op(e0,e3) != e0
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp49,plain,
( spl64
| spl34
| spl17
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef0,sdef17,sdef34,sdef64]) ).
cnf(c104,plain,
( op(e3,e0) = e3
| op(e0,e2) != e0
| op(e1,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp50,plain,
( spl65
| spl51
| spl17
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef0,sdef17,sdef51,sdef65]) ).
cnf(c105,plain,
( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e1,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp51,plain,
( spl65
| spl64
| spl17
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c105,sdef0,sdef17,sdef64,sdef65]) ).
cnf(c106,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp52,plain,
( spl66
| spl51
| spl34
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c106,sdef0,sdef34,sdef51,sdef66]) ).
cnf(c107,plain,
( op(e0,e3) != e0
| op(e2,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp53,plain,
( spl66
| spl64
| spl34
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c107,sdef0,sdef34,sdef64,sdef66]) ).
cnf(c108,plain,
( op(e3,e0) = e3
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp54,plain,
( spl66
| spl65
| spl51
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c108,sdef0,sdef51,sdef65,sdef66]) ).
cnf(c109,plain,
( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp55,plain,
( spl66
| spl65
| spl64
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c109,sdef0,sdef64,sdef65,sdef66]) ).
cnf(c110,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp56,plain,
( spl67
| spl51
| spl34
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c110,sdef17,sdef34,sdef51,sdef67]) ).
cnf(c111,plain,
( op(e0,e3) != e0
| op(e2,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp57,plain,
( spl67
| spl64
| spl34
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c111,sdef17,sdef34,sdef64,sdef67]) ).
cnf(c112,plain,
( op(e3,e0) = e3
| op(e0,e2) != e0
| op(e1,e0) = e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp58,plain,
( spl67
| spl65
| spl51
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c112,sdef17,sdef51,sdef65,sdef67]) ).
cnf(c113,plain,
( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e1,e0) = e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp59,plain,
( spl67
| spl65
| spl64
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c113,sdef17,sdef64,sdef65,sdef67]) ).
cnf(c114,plain,
( op(e3,e0) = e3
| op(e2,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp60,plain,
( spl67
| spl66
| spl51
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c114,sdef34,sdef51,sdef66,sdef67]) ).
cnf(c115,plain,
( op(e0,e3) != e0
| op(e2,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp61,plain,
( spl67
| spl66
| spl64
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c115,sdef34,sdef64,sdef66,sdef67]) ).
cnf(c116,plain,
( op(e3,e0) = e3
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp62,plain,
( spl67
| spl66
| spl65
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c116,sdef51,sdef65,sdef66,sdef67]) ).
cnf(c117,plain,
( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp63,plain,
( spl67
| spl66
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c117,sdef64,sdef65,sdef66,sdef67]) ).
cnf(c118,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp64,plain,
( spl55
| spl38
| spl21
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c118,sdef4,sdef21,sdef38,sdef55]) ).
cnf(c119,plain,
( op(e1,e3) != e1
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp65,plain,
( spl68
| spl38
| spl21
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c119,sdef4,sdef21,sdef38,sdef68]) ).
cnf(c120,plain,
( op(e3,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp66,plain,
( spl69
| spl55
| spl21
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c120,sdef4,sdef21,sdef55,sdef69]) ).
cnf(c121,plain,
( op(e1,e3) != e1
| op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp67,plain,
( spl69
| spl68
| spl21
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c121,sdef4,sdef21,sdef68,sdef69]) ).
cnf(c122,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp68,plain,
( spl70
| spl55
| spl38
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c122,sdef4,sdef38,sdef55,sdef70]) ).
cnf(c123,plain,
( op(e1,e3) != e1
| op(e2,e1) = e2
| op(e1,e1) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp69,plain,
( spl70
| spl68
| spl38
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c123,sdef4,sdef38,sdef68,sdef70]) ).
cnf(c124,plain,
( op(e3,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp70,plain,
( spl70
| spl69
| spl55
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c124,sdef4,sdef55,sdef69,sdef70]) ).
cnf(c125,plain,
( op(e1,e3) != e1
| op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp71,plain,
( spl70
| spl69
| spl68
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c125,sdef4,sdef68,sdef69,sdef70]) ).
cnf(c126,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp72,plain,
( spl71
| spl55
| spl38
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c126,sdef21,sdef38,sdef55,sdef71]) ).
cnf(c127,plain,
( op(e1,e3) != e1
| op(e2,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp73,plain,
( spl71
| spl68
| spl38
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c127,sdef21,sdef38,sdef68,sdef71]) ).
cnf(c128,plain,
( op(e3,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp74,plain,
( spl71
| spl69
| spl55
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c128,sdef21,sdef55,sdef69,sdef71]) ).
cnf(c129,plain,
( op(e1,e3) != e1
| op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp75,plain,
( spl71
| spl69
| spl68
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c129,sdef21,sdef68,sdef69,sdef71]) ).
cnf(c130,plain,
( op(e3,e1) = e3
| op(e2,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp76,plain,
( spl71
| spl70
| spl55
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c130,sdef38,sdef55,sdef70,sdef71]) ).
cnf(c131,plain,
( op(e1,e3) != e1
| op(e2,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp77,plain,
( spl71
| spl70
| spl68
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c131,sdef38,sdef68,sdef70,sdef71]) ).
cnf(c132,plain,
( op(e3,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp78,plain,
( spl71
| spl70
| spl69
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c132,sdef55,sdef69,sdef70,sdef71]) ).
cnf(c133,plain,
( op(e1,e3) != e1
| op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp79,plain,
( spl71
| spl70
| spl69
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c133,sdef68,sdef69,sdef70,sdef71]) ).
cnf(c134,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp80,plain,
( spl59
| spl42
| spl25
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c134,sdef8,sdef25,sdef42,sdef59]) ).
cnf(c135,plain,
( op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp81,plain,
( spl72
| spl42
| spl25
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c135,sdef8,sdef25,sdef42,sdef72]) ).
cnf(c136,plain,
( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e1,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp82,plain,
( spl73
| spl59
| spl25
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c136,sdef8,sdef25,sdef59,sdef73]) ).
cnf(c137,plain,
( op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp83,plain,
( spl73
| spl72
| spl25
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c137,sdef8,sdef25,sdef72,sdef73]) ).
cnf(c138,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp84,plain,
( spl74
| spl59
| spl42
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c138,sdef8,sdef42,sdef59,sdef74]) ).
cnf(c139,plain,
( op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp85,plain,
( spl74
| spl72
| spl42
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c139,sdef8,sdef42,sdef72,sdef74]) ).
cnf(c140,plain,
( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp86,plain,
( spl74
| spl73
| spl59
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c140,sdef8,sdef59,sdef73,sdef74]) ).
cnf(c141,plain,
( op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp87,plain,
( spl74
| spl73
| spl72
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c141,sdef8,sdef72,sdef73,sdef74]) ).
cnf(c142,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp88,plain,
( spl75
| spl59
| spl42
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c142,sdef25,sdef42,sdef59,sdef75]) ).
cnf(c143,plain,
( op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e2) = e1
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp89,plain,
( spl75
| spl72
| spl42
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c143,sdef25,sdef42,sdef72,sdef75]) ).
cnf(c144,plain,
( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e1,e2) = e1
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp90,plain,
( spl75
| spl73
| spl59
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c144,sdef25,sdef59,sdef73,sdef75]) ).
cnf(c145,plain,
( op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e2) = e1
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp91,plain,
( spl75
| spl73
| spl72
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c145,sdef25,sdef72,sdef73,sdef75]) ).
cnf(c146,plain,
( op(e3,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp92,plain,
( spl75
| spl74
| spl59
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c146,sdef42,sdef59,sdef74,sdef75]) ).
cnf(c147,plain,
( op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp93,plain,
( spl75
| spl74
| spl72
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c147,sdef42,sdef72,sdef74,sdef75]) ).
cnf(c148,plain,
( op(e3,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp94,plain,
( spl75
| spl74
| spl73
| spl59 ),
inference(avatar_split_clause,[status(thm)],[c148,sdef59,sdef73,sdef74,sdef75]) ).
cnf(c149,plain,
( op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp95,plain,
( spl75
| spl74
| spl73
| spl72 ),
inference(avatar_split_clause,[status(thm)],[c149,sdef72,sdef73,sdef74,sdef75]) ).
cnf(c150,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp96,plain,
( spl63
| spl46
| spl29
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c150,sdef12,sdef29,sdef46,sdef63]) ).
cnf(c151,plain,
( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp97,plain,
( spl76
| spl46
| spl29
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c151,sdef12,sdef29,sdef46,sdef76]) ).
cnf(c152,plain,
( op(e3,e3) = e3
| op(e3,e2) != e3
| op(e1,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp98,plain,
( spl77
| spl63
| spl29
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c152,sdef12,sdef29,sdef63,sdef77]) ).
cnf(c153,plain,
( op(e3,e3) != e3
| op(e3,e2) != e3
| op(e1,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp99,plain,
( spl77
| spl76
| spl29
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c153,sdef12,sdef29,sdef76,sdef77]) ).
cnf(c154,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e3,e1) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp100,plain,
( spl78
| spl63
| spl46
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c154,sdef12,sdef46,sdef63,sdef78]) ).
cnf(c155,plain,
( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e3,e1) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp101,plain,
( spl78
| spl76
| spl46
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c155,sdef12,sdef46,sdef76,sdef78]) ).
cnf(c156,plain,
( op(e3,e3) = e3
| op(e3,e2) != e3
| op(e3,e1) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp102,plain,
( spl78
| spl77
| spl63
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c156,sdef12,sdef63,sdef77,sdef78]) ).
cnf(c157,plain,
( op(e3,e3) != e3
| op(e3,e2) != e3
| op(e3,e1) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp103,plain,
( spl78
| spl77
| spl76
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c157,sdef12,sdef76,sdef77,sdef78]) ).
cnf(c158,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp104,plain,
( spl79
| spl63
| spl46
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c158,sdef29,sdef46,sdef63,sdef79]) ).
cnf(c159,plain,
( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e1,e3) = e1
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp105,plain,
( spl79
| spl76
| spl46
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c159,sdef29,sdef46,sdef76,sdef79]) ).
cnf(c160,plain,
( op(e3,e3) = e3
| op(e3,e2) != e3
| op(e1,e3) = e1
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp106,plain,
( spl79
| spl77
| spl63
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c160,sdef29,sdef63,sdef77,sdef79]) ).
cnf(c161,plain,
( op(e3,e3) != e3
| op(e3,e2) != e3
| op(e1,e3) = e1
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp107,plain,
( spl79
| spl77
| spl76
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c161,sdef29,sdef76,sdef77,sdef79]) ).
cnf(c162,plain,
( op(e3,e3) = e3
| op(e2,e3) = e2
| op(e3,e1) != e3
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp108,plain,
( spl79
| spl78
| spl63
| spl46 ),
inference(avatar_split_clause,[status(thm)],[c162,sdef46,sdef63,sdef78,sdef79]) ).
cnf(c163,plain,
( op(e3,e3) != e3
| op(e2,e3) = e2
| op(e3,e1) != e3
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp109,plain,
( spl79
| spl78
| spl76
| spl46 ),
inference(avatar_split_clause,[status(thm)],[c163,sdef46,sdef76,sdef78,sdef79]) ).
cnf(c164,plain,
( op(e3,e3) = e3
| op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp110,plain,
( spl79
| spl78
| spl77
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c164,sdef63,sdef77,sdef78,sdef79]) ).
cnf(c165,plain,
( op(e3,e3) != e3
| op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp111,plain,
( spl79
| spl78
| spl77
| spl76 ),
inference(avatar_split_clause,[status(thm)],[c165,sdef76,sdef77,sdef78,sdef79]) ).
fof(f5,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5_nnf,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c166,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp112,plain,
( spl82
| spl81
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c166,sdef80,sdef81,sdef82]) ).
fof(f6,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f6_nnf,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c167,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(ssp113,plain,
( spl85
| spl84
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c167,sdef83,sdef84,sdef85]) ).
fof(f7,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c168,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(ssp114,plain,
( spl88
| spl87
| spl86 ),
inference(avatar_split_clause,[status(thm)],[c168,sdef86,sdef87,sdef88]) ).
fof(f8,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f8_nnf,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c169,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(ssp115,plain,
( spl90
| spl89
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c169,sdef83,sdef89,sdef90]) ).
fof(f9,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f9_nnf,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c170,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(ssp116,plain,
( spl92
| spl91
| spl86 ),
inference(avatar_split_clause,[status(thm)],[c170,sdef86,sdef91,sdef92]) ).
fof(f10,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f10_nnf,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c171,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(ssp117,plain,
( spl94
| spl93
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c171,sdef80,sdef93,sdef94]) ).
fof(f11,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f11_nnf,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c172,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(ssp118,plain,
( spl96
| spl95
| spl82 ),
inference(avatar_split_clause,[status(thm)],[c172,sdef82,sdef95,sdef96]) ).
fof(f12,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f12_nnf,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c173,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(ssp119,plain,
( spl98
| spl97
| spl85 ),
inference(avatar_split_clause,[status(thm)],[c173,sdef85,sdef97,sdef98]) ).
fof(f13,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f13_nnf,plain,
( e3 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( e3 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c174,plain,
( e3 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(ssp120,plain,
( spl101
| spl100
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c174,sdef99,sdef100,sdef101]) ).
fof(f14,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f14_nnf,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c175,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(ssp121,plain,
( spl102
| spl97
| spl89 ),
inference(avatar_split_clause,[status(thm)],[c175,sdef89,sdef97,sdef102]) ).
fof(f15,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f15_nnf,plain,
( e2 != op(e0,e0)
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e2 != op(e0,e0)
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c176,plain,
( e2 != op(e0,e0)
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(ssp122,plain,
( spl104
| spl103
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c176,sdef99,sdef103,sdef104]) ).
fof(f16,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f16_nnf,plain,
( e0 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( e0 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c177,plain,
( e0 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(ssp123,plain,
( spl105
| spl95
| spl93 ),
inference(avatar_split_clause,[status(thm)],[c177,sdef93,sdef95,sdef105]) ).
fof(f17,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c178,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(ssp124,plain,
( spl107
| spl106
| spl88 ),
inference(avatar_split_clause,[status(thm)],[c178,sdef88,sdef106,sdef107]) ).
fof(f18,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f18_nnf,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c179,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(ssp125,plain,
( spl108
| spl98
| spl90 ),
inference(avatar_split_clause,[status(thm)],[c179,sdef90,sdef98,sdef108]) ).
fof(f19,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
( e3 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( e3 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c180,plain,
( e3 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(ssp126,plain,
( spl110
| spl109
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c180,sdef101,sdef109,sdef110]) ).
fof(f20,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c181,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(ssp127,plain,
( spl108
| spl102
| spl84 ),
inference(avatar_split_clause,[status(thm)],[c181,sdef84,sdef102,sdef108]) ).
fof(f21,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f21_nnf,plain,
( e1 != op(e0,e0)
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( e1 != op(e0,e0)
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c182,plain,
( e1 != op(e0,e0)
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(ssp128,plain,
( spl111
| spl109
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef103,sdef109,sdef111]) ).
fof(f22,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f22_nnf,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c183,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(ssp129,plain,
( spl112
| spl106
| spl91 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef91,sdef106,sdef112]) ).
fof(f23,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f23_nnf,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c184,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(ssp130,plain,
( spl113
| spl107
| spl92 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef92,sdef107,sdef113]) ).
fof(f24,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f24_nnf,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c185,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(ssp131,plain,
( spl114
| spl96
| spl94 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef94,sdef96,sdef114]) ).
fof(f25,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f25_nnf,plain,
( e2 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( e2 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c186,plain,
( e2 != op(e0,e0)
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(ssp132,plain,
( spl115
| spl110
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c186,sdef104,sdef110,sdef115]) ).
fof(f26,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f26_nnf,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c187,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(ssp133,plain,
( spl114
| spl105
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c187,sdef81,sdef105,sdef114]) ).
fof(f27,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f27_nnf,plain,
( e1 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( e1 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c188,plain,
( e1 != op(e0,e0)
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(ssp134,plain,
( spl115
| spl111
| spl100 ),
inference(avatar_split_clause,[status(thm)],[c188,sdef100,sdef111,sdef115]) ).
fof(f28,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f28_nnf,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c189,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(ssp135,plain,
( spl113
| spl112
| spl87 ),
inference(avatar_split_clause,[status(thm)],[c189,sdef87,sdef112,sdef113]) ).
cnf(sat_ref,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,ssp3,ssp4,ssp5,ssp6,ssp7,ssp8,ssp9,ssp10,ssp11,ssp12,ssp13,ssp14,ssp15,ssp16,ssp17,ssp18,ssp19,ssp20,ssp21,ssp22,ssp23,ssp24,ssp25,ssp26,ssp27,ssp28,ssp29,ssp30,ssp31,ssp32,ssp33,ssp34,ssp35,ssp36,ssp37,ssp38,ssp39,ssp40,ssp41,ssp42,ssp43,ssp44,ssp45,ssp46,ssp47,ssp48,ssp49,ssp50,ssp51,ssp52,ssp53,ssp54,ssp55,ssp56,ssp57,ssp58,ssp59,ssp60,ssp61,ssp62,ssp63,ssp64,ssp65,ssp66,ssp67,ssp68,ssp69,ssp70,ssp71,ssp72,ssp73,ssp74,ssp75,ssp76,ssp77,ssp78,ssp79,ssp80,ssp81,ssp82,ssp83,ssp84,ssp85,ssp86,ssp87,ssp88,ssp89,ssp90,ssp91,ssp92,ssp93,ssp94,ssp95,ssp96,ssp97,ssp98,ssp99,ssp100,ssp101,ssp102,ssp103,ssp104,ssp105,ssp106,ssp107,ssp108,ssp109,ssp110,ssp111,ssp112,ssp113,ssp114,ssp115,ssp116,ssp117,ssp118,ssp119,ssp120,ssp121,ssp122,ssp123,ssp124,ssp125,ssp126,ssp127,ssp128,ssp129,ssp130,ssp131,ssp132,ssp133,ssp134,ssp135,sct0,sct1,sct2,sct3,sct4,sct5,sct6,sct7,sct8,sct9,sct10,sct11,sct12,sct13,sct14,sct15,sct16,sct17,sct18,sct19,sct20,sct21,sct22,sct23,sct24,sct25,sct26,sct27,sct28,sct29,sct30,sct31,sct32,sct33,sct34,sct35,sct36,sct37,sct38,sct39,sct40,sct41,sct42,sct43,sct44,sct45,sct46,sct47,sct48,sct49,sct50,sct51,sct52,sct53,sct54,sct55,sct56,sct57,sct58,sct59,sct60,sct61,sct62,sct63,sct64,sct65,sct66,sct67,sct68,sct69,sct70,sct71,sct72,sct73,sct74,sct75,sct76,sct77,sct78,sct79,sct80,sct81,sct82,sct83,sct84,sct85,sct86,sct87,sct88,sct89,sct90,sct91,sct92,sct93,sct94,sct95,sct96,sct97,sct98,sct99,sct100,sct101,sct102,sct103,sct104,sct105,sct106,sct107,sct108,sct109,sct110,sct111,sct112,sct113,sct114,sct115,sct116,sct117,sct118,sct119,sct120,sct121,sct122,sct123,sct124,sct125,sct126,sct127,sct128,sct129,sct130,sct131,sct132,sct133,sct134,sct135,sct136,sct137,sct138,sct139,sct140,sct141,sct142,sct143,sct144,sct145,sct146,sct147,sct148,sct149,sct150,sct151,sct152,sct153,sct154,sct155,sct156,sct157,sct158,sct159,sct160,sct161,sct162,sct163,sct164,sct165,sct166,sct167,sct168,sct169,sct170,sct171,sct172,sct173,sct174,sct175,sct176,sct177,sct178,sct179,sct180,sct181,sct182,sct183,sct184,sct185,sct186,sct187,sct188,sct189,sct190,sct191,sct192,sct193,sct194,sct195,sct196,sct197,sct198,sct199,sct200,sct201,sct202,sct203,sct204,sct205,sct206,sct207,sct208,sct209,sct210,sct211,sct212,sct213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG135+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 04:52:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 113.69/14.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.69/14.98 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------