%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG150+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 : n004.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 12:51:45 PM UTC 2026
% Result : Unsatisfiable 65.93s 8.80s
% Output : Proof 11.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 161
% Syntax : Number of formulae : 1973 ( 29 unt; 132 def)
% Number of atoms : 7232 (3111 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 9655 (4396 ~;4698 |; 429 &)
% ( 132 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 134 ( 132 usr; 133 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(p532,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(p538,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p532,c96]) ).
cnf(sct0,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p538]) ).
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(p535,plain,
( ~ spl2
| ~ spl0
| e0 = e2 ),
inference(superposition,[status(thm)],[p1,p3]) ).
cnf(c97,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p541,plain,
( ~ spl2
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p535,c97]) ).
cnf(sct1,plain,
( ~ spl2
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p541]) ).
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(p543,plain,
( ~ spl3
| ~ spl0
| e0 = e3 ),
inference(superposition,[status(thm)],[p1,p4]) ).
cnf(c98,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p547,plain,
( ~ spl3
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p543,c98]) ).
cnf(sct2,plain,
( ~ spl3
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p547]) ).
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(p549,plain,
( ~ spl5
| ~ spl4
| e0 = e1 ),
inference(superposition,[status(thm)],[p6,p7]) ).
cnf(p557,plain,
( ~ spl5
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p549,c96]) ).
cnf(sct3,plain,
( ~ spl5
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p557]) ).
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(p553,plain,
( ~ spl6
| ~ spl4
| e0 = e2 ),
inference(superposition,[status(thm)],[p6,p8]) ).
cnf(p560,plain,
( ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p553,c97]) ).
cnf(sct4,plain,
( ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p560]) ).
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(p562,plain,
( ~ spl7
| ~ spl4
| e0 = e3 ),
inference(superposition,[status(thm)],[p6,p9]) ).
cnf(p566,plain,
( ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p562,c98]) ).
cnf(sct5,plain,
( ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p566]) ).
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(p568,plain,
( ~ spl9
| ~ spl8
| e0 = e1 ),
inference(superposition,[status(thm)],[p11,p12]) ).
cnf(p575,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p568,c96]) ).
cnf(sct6,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p575]) ).
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(p574,plain,
( ~ spl10
| ~ spl9
| e1 = e2 ),
inference(superposition,[status(thm)],[p12,p13]) ).
cnf(c99,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p578,plain,
( ~ spl10
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p574,c99]) ).
cnf(sct7,plain,
( ~ spl10
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p578]) ).
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(p580,plain,
( ~ spl11
| ~ spl9
| e1 = e3 ),
inference(superposition,[status(thm)],[p12,p14]) ).
cnf(c100,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p584,plain,
( ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p580,c100]) ).
cnf(sct8,plain,
( ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p584]) ).
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(p586,plain,
( ~ spl13
| ~ spl12
| e0 = e1 ),
inference(superposition,[status(thm)],[p16,p17]) ).
cnf(p593,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p586,c96]) ).
cnf(sct9,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p593]) ).
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(p590,plain,
( ~ spl14
| ~ spl12
| e0 = e2 ),
inference(superposition,[status(thm)],[p16,p18]) ).
cnf(p597,plain,
( ~ spl14
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p590,c97]) ).
cnf(sct10,plain,
( ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p597]) ).
cnf(p592,plain,
( ~ spl14
| ~ spl13
| e1 = e2 ),
inference(superposition,[status(thm)],[p17,p18]) ).
cnf(p604,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p592,c99]) ).
cnf(sct11,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p604]) ).
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(p603,plain,
( ~ spl15
| ~ spl14
| e2 = e3 ),
inference(superposition,[status(thm)],[p18,p19]) ).
cnf(c101,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p607,plain,
( ~ spl15
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p603,c101]) ).
cnf(sct12,plain,
( ~ spl15
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p607]) ).
cnf(p572,plain,
( ~ spl10
| ~ spl8
| e0 = e2 ),
inference(superposition,[status(thm)],[p11,p13]) ).
cnf(p612,plain,
( ~ spl10
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p572,c97]) ).
cnf(sct13,plain,
( ~ spl10
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p612]) ).
cnf(p601,plain,
( ~ spl15
| ~ spl13
| e1 = e3 ),
inference(superposition,[status(thm)],[p17,p19]) ).
cnf(p616,plain,
( ~ spl15
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p601,c100]) ).
cnf(sct14,plain,
( ~ spl15
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p616]) ).
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(p620,plain,
( ~ spl17
| ~ spl16
| e0 = e1 ),
inference(superposition,[status(thm)],[p21,p22]) ).
cnf(p626,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p620,c96]) ).
cnf(sct15,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p626]) ).
cnf(p618,plain,
( ~ spl11
| ~ spl10
| e3 = e2 ),
inference(superposition,[status(thm)],[p14,p13]) ).
cnf(p621,plain,
( ~ spl11
| ~ spl10
| e2 != e2 ),
inference(superposition,[status(thm)],[p618,c101]) ).
cnf(p627,plain,
( ~ spl11
| ~ spl10
| $false ),
inference(equality_resolution,[status(thm)],[p621]) ).
cnf(sct16,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p627]) ).
cnf(p555,plain,
( ~ spl6
| ~ spl5
| e1 = e2 ),
inference(superposition,[status(thm)],[p7,p8]) ).
cnf(p633,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p555,c99]) ).
cnf(sct17,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p633]) ).
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(p629,plain,
( ~ spl18
| ~ spl17
| e1 = e2 ),
inference(superposition,[status(thm)],[p22,p23]) ).
cnf(p637,plain,
( ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p629,c99]) ).
cnf(sct18,plain,
( ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p637]) ).
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(p639,plain,
( ~ spl19
| ~ spl17
| e1 = e3 ),
inference(superposition,[status(thm)],[p22,p24]) ).
cnf(p643,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p639,c100]) ).
cnf(sct19,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p643]) ).
cnf(p645,plain,
( ~ spl7
| ~ spl5
| e3 = e1 ),
inference(superposition,[status(thm)],[p9,p7]) ).
cnf(p646,plain,
( ~ spl7
| ~ spl5
| e1 != e1 ),
inference(superposition,[status(thm)],[p645,c100]) ).
cnf(p649,plain,
( ~ spl7
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p646]) ).
cnf(sct20,plain,
( ~ spl7
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p649]) ).
cnf(p651,plain,
( ~ spl11
| ~ spl8
| e3 = e0 ),
inference(superposition,[status(thm)],[p14,p11]) ).
cnf(p652,plain,
( ~ spl11
| ~ spl8
| e0 != e0 ),
inference(superposition,[status(thm)],[p651,c98]) ).
cnf(p656,plain,
( ~ spl11
| ~ spl8
| $false ),
inference(equality_resolution,[status(thm)],[p652]) ).
cnf(sct21,plain,
( ~ spl11
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p656]) ).
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(p658,plain,
( ~ spl21
| ~ spl20
| e0 = e1 ),
inference(superposition,[status(thm)],[p26,p27]) ).
cnf(p666,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p658,c96]) ).
cnf(sct22,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p666]) ).
cnf(p668,plain,
( ~ spl7
| ~ spl6
| e3 = e2 ),
inference(superposition,[status(thm)],[p9,p8]) ).
cnf(p669,plain,
( ~ spl7
| ~ spl6
| e2 != e2 ),
inference(superposition,[status(thm)],[p668,c101]) ).
cnf(p673,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p669]) ).
cnf(sct23,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p673]) ).
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(p672,plain,
( ~ spl22
| ~ spl21
| e1 = e2 ),
inference(superposition,[status(thm)],[p27,p28]) ).
cnf(p676,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p672,c99]) ).
cnf(sct24,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p676]) ).
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(p678,plain,
( ~ spl23
| ~ spl21
| e1 = e3 ),
inference(superposition,[status(thm)],[p27,p29]) ).
cnf(p683,plain,
( ~ spl23
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p678,c100]) ).
cnf(sct25,plain,
( ~ spl23
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p683]) ).
cnf(p685,plain,
( ~ spl15
| ~ spl12
| e3 = e0 ),
inference(superposition,[status(thm)],[p19,p16]) ).
cnf(p686,plain,
( ~ spl15
| ~ spl12
| e0 != e0 ),
inference(superposition,[status(thm)],[p685,c98]) ).
cnf(p690,plain,
( ~ spl15
| ~ spl12
| $false ),
inference(equality_resolution,[status(thm)],[p686]) ).
cnf(sct26,plain,
( ~ spl15
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p690]) ).
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(p692,plain,
( ~ spl25
| ~ spl24
| e0 = e1 ),
inference(superposition,[status(thm)],[p31,p32]) ).
cnf(p703,plain,
( ~ spl25
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p692,c96]) ).
cnf(sct27,plain,
( ~ spl25
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p703]) ).
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(p694,plain,
( ~ spl26
| ~ spl24
| e0 = e2 ),
inference(superposition,[status(thm)],[p31,p33]) ).
cnf(p708,plain,
( ~ spl26
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p694,c97]) ).
cnf(sct28,plain,
( ~ spl26
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p708]) ).
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(p710,plain,
( ~ spl27
| ~ spl24
| e0 = e3 ),
inference(superposition,[status(thm)],[p31,p34]) ).
cnf(p715,plain,
( ~ spl27
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p710,c98]) ).
cnf(sct29,plain,
( ~ spl27
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p715]) ).
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(p717,plain,
( ~ spl29
| ~ spl28
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p37]) ).
cnf(p729,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p717,c96]) ).
cnf(sct30,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p729]) ).
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(p721,plain,
( ~ spl30
| ~ spl29
| e1 = e2 ),
inference(superposition,[status(thm)],[p37,p38]) ).
cnf(p733,plain,
( ~ spl30
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p721,c99]) ).
cnf(sct31,plain,
( ~ spl30
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p733]) ).
cnf(p719,plain,
( ~ spl30
| ~ spl28
| e0 = e2 ),
inference(superposition,[status(thm)],[p36,p38]) ).
cnf(p742,plain,
( ~ spl30
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p719,c97]) ).
cnf(sct32,plain,
( ~ spl30
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p742]) ).
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(p737,plain,
( ~ spl31
| ~ spl30
| e2 = e3 ),
inference(superposition,[status(thm)],[p38,p39]) ).
cnf(p746,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p737,c101]) ).
cnf(sct33,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p746]) ).
cnf(p696,plain,
( ~ spl26
| ~ spl25
| e1 = e2 ),
inference(superposition,[status(thm)],[p32,p33]) ).
cnf(p752,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p696,c99]) ).
cnf(sct34,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p752]) ).
cnf(p735,plain,
( ~ spl31
| ~ spl28
| e0 = e3 ),
inference(superposition,[status(thm)],[p36,p39]) ).
cnf(p758,plain,
( ~ spl31
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p735,c98]) ).
cnf(sct35,plain,
( ~ spl31
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p758]) ).
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(p760,plain,
( ~ spl33
| ~ spl32
| e0 = e1 ),
inference(superposition,[status(thm)],[p41,p42]) ).
cnf(p768,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p760,c96]) ).
cnf(sct36,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p768]) ).
cnf(p770,plain,
( ~ spl27
| ~ spl26
| e3 = e2 ),
inference(superposition,[status(thm)],[p34,p33]) ).
cnf(p771,plain,
( ~ spl27
| ~ spl26
| e2 != e2 ),
inference(superposition,[status(thm)],[p770,c101]) ).
cnf(p776,plain,
( ~ spl27
| ~ spl26
| $false ),
inference(equality_resolution,[status(thm)],[p771]) ).
cnf(sct37,plain,
( ~ spl27
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p776]) ).
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(p775,plain,
( ~ spl34
| ~ spl33
| e1 = e2 ),
inference(superposition,[status(thm)],[p42,p43]) ).
cnf(p782,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p775,c99]) ).
cnf(sct38,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p782]) ).
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(p788,plain,
( ~ spl35
| ~ spl32
| e0 = e3 ),
inference(superposition,[status(thm)],[p41,p44]) ).
cnf(p811,plain,
( ~ spl35
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p788,c98]) ).
cnf(sct39,plain,
( ~ spl35
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p811]) ).
cnf(p790,plain,
( ~ spl35
| ~ spl34
| e2 = e3 ),
inference(superposition,[status(thm)],[p43,p44]) ).
cnf(p819,plain,
( ~ spl35
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p790,c101]) ).
cnf(sct40,plain,
( ~ spl35
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p819]) ).
cnf(p784,plain,
( ~ spl22
| ~ spl20
| e2 = e0 ),
inference(superposition,[status(thm)],[p28,p26]) ).
cnf(p791,plain,
( ~ spl22
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p784,c97]) ).
cnf(p820,plain,
( ~ spl22
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p791]) ).
cnf(sct41,plain,
( ~ spl22
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p820]) ).
cnf(p786,plain,
( ~ spl23
| ~ spl20
| e3 = e0 ),
inference(superposition,[status(thm)],[p29,p26]) ).
cnf(p799,plain,
( ~ spl23
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p786,c98]) ).
cnf(p821,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p799]) ).
cnf(sct42,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p821]) ).
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(p823,plain,
( ~ spl37
| ~ spl36
| e0 = e1 ),
inference(superposition,[status(thm)],[p46,p47]) ).
cnf(p832,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p823,c96]) ).
cnf(sct43,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p832]) ).
cnf(p834,plain,
( ~ spl27
| ~ spl25
| e3 = e1 ),
inference(superposition,[status(thm)],[p34,p32]) ).
cnf(p835,plain,
( ~ spl27
| ~ spl25
| e1 != e1 ),
inference(superposition,[status(thm)],[p834,c100]) ).
cnf(p841,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p835]) ).
cnf(sct44,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p841]) ).
cnf(p843,plain,
( ~ spl23
| ~ spl22
| e3 = e2 ),
inference(superposition,[status(thm)],[p29,p28]) ).
cnf(p844,plain,
( ~ spl23
| ~ spl22
| e2 != e2 ),
inference(superposition,[status(thm)],[p843,c101]) ).
cnf(p847,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p844]) ).
cnf(sct45,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p847]) ).
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(p840,plain,
( ~ spl38
| ~ spl37
| e1 = e2 ),
inference(superposition,[status(thm)],[p47,p48]) ).
cnf(p859,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p840,c99]) ).
cnf(sct46,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p859]) ).
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(p851,plain,
( ~ spl39
| ~ spl38
| e2 = e3 ),
inference(superposition,[status(thm)],[p48,p49]) ).
cnf(p864,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p851,c101]) ).
cnf(sct47,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p864]) ).
cnf(p866,plain,
( ~ spl31
| ~ spl29
| e3 = e1 ),
inference(superposition,[status(thm)],[p39,p37]) ).
cnf(p867,plain,
( ~ spl31
| ~ spl29
| e1 != e1 ),
inference(superposition,[status(thm)],[p866,c100]) ).
cnf(p873,plain,
( ~ spl31
| ~ spl29
| $false ),
inference(equality_resolution,[status(thm)],[p867]) ).
cnf(sct48,plain,
( ~ spl31
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p873]) ).
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(p872,plain,
( ~ spl41
| ~ spl40
| e0 = e1 ),
inference(superposition,[status(thm)],[p51,p52]) ).
cnf(p882,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p872,c96]) ).
cnf(sct49,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p882]) ).
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(p884,plain,
( ~ spl42
| ~ spl41
| e1 = e2 ),
inference(superposition,[status(thm)],[p52,p53]) ).
cnf(p895,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p884,c99]) ).
cnf(sct50,plain,
( ~ spl42
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p895]) ).
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(p897,plain,
( ~ spl43
| ~ spl41
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p54]) ).
cnf(p902,plain,
( ~ spl43
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p897,c100]) ).
cnf(sct51,plain,
( ~ spl43
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p902]) ).
cnf(p904,plain,
( ~ spl34
| ~ spl32
| e2 = e0 ),
inference(superposition,[status(thm)],[p43,p41]) ).
cnf(p905,plain,
( ~ spl34
| ~ spl32
| e0 != e0 ),
inference(superposition,[status(thm)],[p904,c97]) ).
cnf(p915,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(equality_resolution,[status(thm)],[p905]) ).
cnf(sct52,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p915]) ).
cnf(p917,plain,
( ~ spl38
| ~ spl36
| e2 = e0 ),
inference(superposition,[status(thm)],[p48,p46]) ).
cnf(p918,plain,
( ~ spl38
| ~ spl36
| e0 != e0 ),
inference(superposition,[status(thm)],[p917,c97]) ).
cnf(p926,plain,
( ~ spl38
| ~ spl36
| $false ),
inference(equality_resolution,[status(thm)],[p918]) ).
cnf(sct53,plain,
( ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p926]) ).
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(p928,plain,
( ~ spl45
| ~ spl44
| e0 = e1 ),
inference(superposition,[status(thm)],[p56,p57]) ).
cnf(p936,plain,
( ~ spl45
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p928,c96]) ).
cnf(sct54,plain,
( ~ spl45
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p936]) ).
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(p938,plain,
( ~ spl46
| ~ spl45
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p58]) ).
cnf(p948,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p938,c99]) ).
cnf(sct55,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p948]) ).
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(p954,plain,
( ~ spl47
| ~ spl45
| e1 = e3 ),
inference(superposition,[status(thm)],[p57,p59]) ).
cnf(p979,plain,
( ~ spl47
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p954,c100]) ).
cnf(sct56,plain,
( ~ spl47
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p979]) ).
cnf(p950,plain,
( ~ spl42
| ~ spl40
| e2 = e0 ),
inference(superposition,[status(thm)],[p53,p51]) ).
cnf(p955,plain,
( ~ spl42
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p950,c97]) ).
cnf(p981,plain,
( ~ spl42
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p955]) ).
cnf(sct57,plain,
( ~ spl42
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p981]) ).
cnf(p952,plain,
( ~ spl43
| ~ spl40
| e3 = e0 ),
inference(superposition,[status(thm)],[p54,p51]) ).
cnf(p965,plain,
( ~ spl43
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p952,c98]) ).
cnf(p982,plain,
( ~ spl43
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p965]) ).
cnf(sct58,plain,
( ~ spl43
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p982]) ).
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(p988,plain,
( ~ spl49
| ~ spl48
| e0 = e1 ),
inference(superposition,[status(thm)],[p61,p62]) ).
cnf(p1014,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p988,c96]) ).
cnf(sct59,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p1014]) ).
cnf(p984,plain,
( ~ spl46
| ~ spl44
| e2 = e0 ),
inference(superposition,[status(thm)],[p58,p56]) ).
cnf(p989,plain,
( ~ spl46
| ~ spl44
| e0 != e0 ),
inference(superposition,[status(thm)],[p984,c97]) ).
cnf(p1018,plain,
( ~ spl46
| ~ spl44
| $false ),
inference(equality_resolution,[status(thm)],[p989]) ).
cnf(sct60,plain,
( ~ spl46
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p1018]) ).
cnf(p986,plain,
( ~ spl47
| ~ spl44
| e3 = e0 ),
inference(superposition,[status(thm)],[p59,p56]) ).
cnf(p998,plain,
( ~ spl47
| ~ spl44
| e0 != e0 ),
inference(superposition,[status(thm)],[p986,c98]) ).
cnf(p1019,plain,
( ~ spl47
| ~ spl44
| $false ),
inference(equality_resolution,[status(thm)],[p998]) ).
cnf(sct61,plain,
( ~ spl47
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p1019]) ).
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(p1016,plain,
( ~ spl50
| ~ spl49
| e1 = e2 ),
inference(superposition,[status(thm)],[p62,p63]) ).
cnf(p1029,plain,
( ~ spl50
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p1016,c99]) ).
cnf(sct62,plain,
( ~ spl50
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p1029]) ).
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(p1031,plain,
( ~ spl51
| ~ spl50
| e2 = e3 ),
inference(superposition,[status(thm)],[p63,p64]) ).
cnf(p1037,plain,
( ~ spl51
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p1031,c101]) ).
cnf(sct63,plain,
( ~ spl51
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p1037]) ).
cnf(p1039,plain,
( ~ spl39
| ~ spl36
| e3 = e0 ),
inference(superposition,[status(thm)],[p49,p46]) ).
cnf(p1040,plain,
( ~ spl39
| ~ spl36
| e0 != e0 ),
inference(superposition,[status(thm)],[p1039,c98]) ).
cnf(p1049,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(equality_resolution,[status(thm)],[p1040]) ).
cnf(sct64,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p1049]) ).
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(p1053,plain,
( ~ spl53
| ~ spl52
| e0 = e1 ),
inference(superposition,[status(thm)],[p66,p67]) ).
cnf(p1070,plain,
( ~ spl53
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1053,c96]) ).
cnf(sct65,plain,
( ~ spl53
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p1070]) ).
cnf(p1051,plain,
( ~ spl43
| ~ spl42
| e3 = e2 ),
inference(superposition,[status(thm)],[p54,p53]) ).
cnf(p1054,plain,
( ~ spl43
| ~ spl42
| e2 != e2 ),
inference(superposition,[status(thm)],[p1051,c101]) ).
cnf(p1071,plain,
( ~ spl43
| ~ spl42
| $false ),
inference(equality_resolution,[status(thm)],[p1054]) ).
cnf(sct66,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p1071]) ).
cnf(p849,plain,
( ~ spl39
| ~ spl37
| e1 = e3 ),
inference(superposition,[status(thm)],[p47,p49]) ).
cnf(p1083,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p849,c100]) ).
cnf(sct67,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p1083]) ).
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(p1073,plain,
( ~ spl54
| ~ spl53
| e1 = e2 ),
inference(superposition,[status(thm)],[p67,p68]) ).
cnf(p1092,plain,
( ~ spl54
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1073,c99]) ).
cnf(sct68,plain,
( ~ spl54
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p1092]) ).
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(p1094,plain,
( ~ spl55
| ~ spl54
| e2 = e3 ),
inference(superposition,[status(thm)],[p68,p69]) ).
cnf(p1103,plain,
( ~ spl55
| ~ spl54
| $false ),
inference(resolution,[status(thm)],[p1094,c101]) ).
cnf(sct69,plain,
( ~ spl55
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p1103]) ).
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(p1105,plain,
( ~ spl57
| ~ spl56
| e0 = e1 ),
inference(superposition,[status(thm)],[p71,p72]) ).
cnf(p1115,plain,
( ~ spl57
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1105,c96]) ).
cnf(sct70,plain,
( ~ spl57
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p1115]) ).
cnf(p1117,plain,
( ~ spl47
| ~ spl46
| e3 = e2 ),
inference(superposition,[status(thm)],[p59,p58]) ).
cnf(p1118,plain,
( ~ spl47
| ~ spl46
| e2 != e2 ),
inference(superposition,[status(thm)],[p1117,c101]) ).
cnf(p1129,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(equality_resolution,[status(thm)],[p1118]) ).
cnf(sct71,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p1129]) ).
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(p1128,plain,
( ~ spl58
| ~ spl57
| e1 = e2 ),
inference(superposition,[status(thm)],[p72,p73]) ).
cnf(p1138,plain,
( ~ spl58
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1128,c99]) ).
cnf(sct72,plain,
( ~ spl58
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p1138]) ).
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(p1140,plain,
( ~ spl59
| ~ spl58
| e2 = e3 ),
inference(superposition,[status(thm)],[p73,p74]) ).
cnf(p1150,plain,
( ~ spl59
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p1140,c101]) ).
cnf(sct73,plain,
( ~ spl59
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p1150]) ).
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(p1152,plain,
( ~ spl61
| ~ spl60
| e0 = e1 ),
inference(superposition,[status(thm)],[p76,p77]) ).
cnf(p1162,plain,
( ~ spl61
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1152,c96]) ).
cnf(sct74,plain,
( ~ spl61
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1162]) ).
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(p1164,plain,
( ~ spl62
| ~ spl61
| e1 = e2 ),
inference(superposition,[status(thm)],[p77,p78]) ).
cnf(p1174,plain,
( ~ spl62
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1164,c99]) ).
cnf(sct75,plain,
( ~ spl62
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1174]) ).
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(p1176,plain,
( ~ spl63
| ~ spl61
| e1 = e3 ),
inference(superposition,[status(thm)],[p77,p79]) ).
cnf(p1191,plain,
( ~ spl63
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1176,c100]) ).
cnf(sct76,plain,
( ~ spl63
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1191]) ).
cnf(p1193,plain,
( ~ spl51
| ~ spl49
| e3 = e1 ),
inference(superposition,[status(thm)],[p64,p62]) ).
cnf(p1194,plain,
( ~ spl51
| ~ spl49
| e1 != e1 ),
inference(superposition,[status(thm)],[p1193,c100]) ).
cnf(p1207,plain,
( ~ spl51
| ~ spl49
| $false ),
inference(equality_resolution,[status(thm)],[p1194]) ).
cnf(sct77,plain,
( ~ spl51
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p1207]) ).
cnf(p1209,plain,
( ~ spl51
| ~ spl48
| e3 = e0 ),
inference(superposition,[status(thm)],[p64,p61]) ).
cnf(p1210,plain,
( ~ spl51
| ~ spl48
| e0 != e0 ),
inference(superposition,[status(thm)],[p1209,c98]) ).
cnf(p1223,plain,
( ~ spl51
| ~ spl48
| $false ),
inference(equality_resolution,[status(thm)],[p1210]) ).
cnf(sct78,plain,
( ~ spl51
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p1223]) ).
cnf(p1227,plain,
( ~ spl55
| ~ spl53
| e3 = e1 ),
inference(superposition,[status(thm)],[p69,p67]) ).
cnf(p1228,plain,
( ~ spl55
| ~ spl53
| e1 != e1 ),
inference(superposition,[status(thm)],[p1227,c100]) ).
cnf(p1239,plain,
( ~ spl55
| ~ spl53
| $false ),
inference(equality_resolution,[status(thm)],[p1228]) ).
cnf(sct79,plain,
( ~ spl55
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p1239]) ).
cnf(p1245,plain,
( ~ spl55
| ~ spl52
| e3 = e0 ),
inference(superposition,[status(thm)],[p69,p66]) ).
cnf(p1246,plain,
( ~ spl55
| ~ spl52
| e0 != e0 ),
inference(superposition,[status(thm)],[p1245,c98]) ).
cnf(p1263,plain,
( ~ spl55
| ~ spl52
| $false ),
inference(equality_resolution,[status(thm)],[p1246]) ).
cnf(sct80,plain,
( ~ spl55
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p1263]) ).
cnf(p1269,plain,
( ~ spl58
| ~ spl56
| e2 = e0 ),
inference(superposition,[status(thm)],[p73,p71]) ).
cnf(p1270,plain,
( ~ spl58
| ~ spl56
| e0 != e0 ),
inference(superposition,[status(thm)],[p1269,c97]) ).
cnf(p1281,plain,
( ~ spl58
| ~ spl56
| $false ),
inference(equality_resolution,[status(thm)],[p1270]) ).
cnf(sct81,plain,
( ~ spl58
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p1281]) ).
cnf(p1287,plain,
( ~ spl59
| ~ spl57
| e3 = e1 ),
inference(superposition,[status(thm)],[p74,p72]) ).
cnf(p1288,plain,
( ~ spl59
| ~ spl57
| e1 != e1 ),
inference(superposition,[status(thm)],[p1287,c100]) ).
cnf(p1301,plain,
( ~ spl59
| ~ spl57
| $false ),
inference(equality_resolution,[status(thm)],[p1288]) ).
cnf(sct82,plain,
( ~ spl59
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p1301]) ).
cnf(p1305,plain,
( ~ spl62
| ~ spl60
| e2 = e0 ),
inference(superposition,[status(thm)],[p78,p76]) ).
cnf(p1308,plain,
( ~ spl62
| ~ spl60
| e0 != e0 ),
inference(superposition,[status(thm)],[p1305,c97]) ).
cnf(p1337,plain,
( ~ spl62
| ~ spl60
| $false ),
inference(equality_resolution,[status(thm)],[p1308]) ).
cnf(sct83,plain,
( ~ spl62
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1337]) ).
cnf(p1350,plain,
( ~ spl59
| ~ spl56
| e3 = e0 ),
inference(superposition,[status(thm)],[p74,p71]) ).
cnf(p1351,plain,
( ~ spl59
| ~ spl56
| e0 != e0 ),
inference(superposition,[status(thm)],[p1350,c98]) ).
cnf(p1368,plain,
( ~ spl59
| ~ spl56
| $false ),
inference(equality_resolution,[status(thm)],[p1351]) ).
cnf(sct84,plain,
( ~ spl59
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p1368]) ).
cnf(p1382,plain,
( ~ spl54
| ~ spl52
| e2 = e0 ),
inference(superposition,[status(thm)],[p68,p66]) ).
cnf(p1386,plain,
( ~ spl54
| ~ spl52
| e0 != e0 ),
inference(superposition,[status(thm)],[p1382,c97]) ).
cnf(p1401,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(equality_resolution,[status(thm)],[p1386]) ).
cnf(sct85,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p1401]) ).
cnf(p1307,plain,
( ~ spl63
| ~ spl60
| e3 = e0 ),
inference(superposition,[status(thm)],[p79,p76]) ).
cnf(p1321,plain,
( ~ spl63
| ~ spl60
| e0 != e0 ),
inference(superposition,[status(thm)],[p1307,c98]) ).
cnf(p1409,plain,
( ~ spl63
| ~ spl60
| $false ),
inference(equality_resolution,[status(thm)],[p1321]) ).
cnf(sct86,plain,
( ~ spl63
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1409]) ).
cnf(p1425,plain,
( ~ spl63
| ~ spl62
| e3 = e2 ),
inference(superposition,[status(thm)],[p79,p78]) ).
cnf(p1426,plain,
( ~ spl63
| ~ spl62
| e2 != e2 ),
inference(superposition,[status(thm)],[p1425,c101]) ).
cnf(p1441,plain,
( ~ spl63
| ~ spl62
| $false ),
inference(equality_resolution,[status(thm)],[p1426]) ).
cnf(sct87,plain,
( ~ spl63
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p1441]) ).
fof(sdef80,definition,
( spl80
<=> op(e0,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p440,plain,
( ~ spl80
| op(e0,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
cnf(p1442,plain,
( ~ spl80
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p440,p1]) ).
cnf(sct88,plain,
( ~ spl80
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1442]) ).
fof(sdef86,definition,
( spl86
<=> op(e1,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl86])],[avatar_definition]) ).
cnf(p452,plain,
( ~ spl86
| op(e1,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef86]) ).
cnf(p1449,plain,
( ~ spl86
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p452,p28]) ).
cnf(sct89,plain,
( ~ spl86
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1449]) ).
fof(sdef84,definition,
( spl84
<=> op(e1,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(p448,plain,
( ~ spl84
| op(e1,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef84]) ).
cnf(p1459,plain,
( ~ spl84
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p26,p448]) ).
cnf(sct90,plain,
( ~ spl84
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1459]) ).
fof(sdef88,definition,
( spl88
<=> op(e2,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
cnf(p456,plain,
( ~ spl88
| op(e2,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p1471,plain,
( ~ spl88
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p456,p51]) ).
cnf(sct91,plain,
( ~ spl88
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p1471]) ).
fof(sdef92,definition,
( spl92
<=> op(e3,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p464,plain,
( ~ spl92
| op(e3,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
cnf(p1474,plain,
( ~ spl92
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p464,p76]) ).
cnf(sct92,plain,
( ~ spl92
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1474]) ).
fof(sdef112,definition,
( spl112
<=> e0 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(p494,plain,
( ~ spl112
| e0 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef112]) ).
cnf(p1489,plain,
( ~ spl112
| ~ spl60
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p494]) ).
cnf(p1490,plain,
( ~ spl112
| ~ spl60
| $false ),
inference(equality_resolution,[status(thm)],[p1489]) ).
cnf(sct93,plain,
( ~ spl112
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1490]) ).
fof(sdef114,definition,
( spl114
<=> e0 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(p497,plain,
( ~ spl114
| e0 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
cnf(p1491,plain,
( ~ spl114
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p497]) ).
cnf(p1492,plain,
( ~ spl114
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p1491]) ).
cnf(sct94,plain,
( ~ spl114
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p1492]) ).
fof(sdef124,definition,
( spl124
<=> e0 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl124])],[avatar_definition]) ).
cnf(p513,plain,
( ~ spl124
| e0 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef124]) ).
cnf(p1499,plain,
( ~ spl124
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p513]) ).
cnf(p1500,plain,
( ~ spl124
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1499]) ).
cnf(sct95,plain,
( ~ spl124
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1500]) ).
fof(sdef64,definition,
( spl64
<=> op(e0,op(e0,e0)) != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl64])],[avatar_definition]) ).
cnf(p167,plain,
( ~ spl64
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef64]) ).
cnf(p1548,plain,
( ~ spl64
| ~ spl0
| e0 != e0 ),
inference(superposition,[status(thm)],[p1,p167]) ).
cnf(p1549,plain,
( ~ spl64
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1548]) ).
cnf(sct96,plain,
( ~ spl64
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1549]) ).
fof(sdef65,definition,
( spl65
<=> op(e0,op(e1,e0)) != op(e1,e0) ),
introduced(definition,[new_symbols(naming,[spl65])],[avatar_definition]) ).
cnf(p168,plain,
( ~ spl65
| op(e0,op(e1,e0)) != op(e1,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef65]) ).
cnf(p1551,plain,
( ~ spl65
| ~ spl17
| op(e0,e1) != e1 ),
inference(superposition,[status(thm)],[p22,p168]) ).
cnf(p1572,plain,
( ~ spl65
| ~ spl17
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p1551,p7]) ).
cnf(sct97,plain,
( ~ spl65
| ~ spl17
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1572]) ).
fof(sdef68,definition,
( spl68
<=> op(e1,op(e3,e1)) != op(e3,e1) ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p172,plain,
( ~ spl68
| op(e1,op(e3,e1)) != op(e3,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
cnf(p1555,plain,
( ~ spl68
| ~ spl54
| op(e1,e2) != e2 ),
inference(superposition,[status(thm)],[p68,p172]) ).
cnf(p1575,plain,
( ~ spl68
| ~ spl54
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p1555,p33]) ).
cnf(sct98,plain,
( ~ spl68
| ~ spl54
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p1575]) ).
fof(sdef71,definition,
( spl71
<=> op(e1,op(e2,e1)) != op(e2,e1) ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(p178,plain,
( ~ spl71
| op(e1,op(e2,e1)) != op(e2,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef71]) ).
cnf(p1560,plain,
( ~ spl71
| ~ spl39
| op(e1,e3) != e3 ),
inference(superposition,[status(thm)],[p49,p178]) ).
cnf(p1578,plain,
( ~ spl71
| ~ spl39
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p1560,p39]) ).
cnf(sct99,plain,
( ~ spl71
| ~ spl39
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p1578]) ).
fof(sdef91,definition,
( spl91
<=> op(e2,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(p462,plain,
( ~ spl91
| op(e2,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef91]) ).
cnf(p1608,plain,
( ~ spl91
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p54,p462]) ).
cnf(sct100,plain,
( ~ spl91
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p1608]) ).
fof(sdef89,definition,
( spl89
<=> op(e2,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(p458,plain,
( ~ spl89
| op(e2,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef89]) ).
cnf(p1628,plain,
( ~ spl89
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p52,p458]) ).
cnf(sct101,plain,
( ~ spl89
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p1628]) ).
fof(sdef66,definition,
( spl66
<=> op(e0,op(e2,e0)) != op(e2,e0) ),
introduced(definition,[new_symbols(naming,[spl66])],[avatar_definition]) ).
cnf(p169,plain,
( ~ spl66
| op(e0,op(e2,e0)) != op(e2,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef66]) ).
cnf(p1553,plain,
( ~ spl66
| ~ spl34
| op(e0,e2) != e2 ),
inference(superposition,[status(thm)],[p43,p169]) ).
cnf(p1638,plain,
( ~ spl66
| ~ spl34
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p13,p1553]) ).
cnf(sct102,plain,
( ~ spl66
| ~ spl34
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1638]) ).
fof(sdef69,definition,
( spl69
<=> op(e2,op(e3,e2)) != op(e3,e2) ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(p174,plain,
( ~ spl69
| op(e2,op(e3,e2)) != op(e3,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef69]) ).
cnf(p1556,plain,
( ~ spl69
| ~ spl57
| op(e2,e1) != e1 ),
inference(superposition,[status(thm)],[p72,p174]) ).
cnf(p1658,plain,
( ~ spl69
| ~ spl57
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p47,p1556]) ).
cnf(sct103,plain,
( ~ spl69
| ~ spl57
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p1658]) ).
fof(sdef104,definition,
( spl104
<=> e0 != op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p483,plain,
( ~ spl104
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
cnf(p1631,plain,
( ~ spl104
| ~ spl20
| e0 != op(e0,e0) ),
inference(superposition,[status(thm)],[p26,p483]) ).
cnf(p1691,plain,
( ~ spl104
| ~ spl20
| ~ spl0
| e0 != e0 ),
inference(superposition,[status(thm)],[p1,p1631]) ).
cnf(p1692,plain,
( ~ spl104
| ~ spl20
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1691]) ).
cnf(sct104,plain,
( ~ spl104
| ~ spl20
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1692]) ).
fof(sdef75,definition,
( spl75
<=> op(e2,op(e1,e2)) != op(e1,e2) ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p210,plain,
( ~ spl75
| op(e2,op(e1,e2)) != op(e1,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
cnf(p1646,plain,
( ~ spl75
| ~ spl27
| op(e2,e3) != e3 ),
inference(superposition,[status(thm)],[p34,p210]) ).
cnf(p1695,plain,
( ~ spl75
| ~ spl47
| ~ spl27
| $false ),
inference(resolution,[status(thm)],[p1646,p59]) ).
cnf(sct105,plain,
( ~ spl75
| ~ spl47
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p1695]) ).
fof(sdef67,definition,
( spl67
<=> op(e0,op(e3,e0)) != op(e3,e0) ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p170,plain,
( ~ spl67
| op(e0,op(e3,e0)) != op(e3,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
cnf(p1554,plain,
( ~ spl67
| ~ spl51
| op(e0,e3) != e3 ),
inference(superposition,[status(thm)],[p64,p170]) ).
cnf(p1704,plain,
( ~ spl67
| ~ spl51
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p19,p1554]) ).
cnf(sct106,plain,
( ~ spl67
| ~ spl51
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p1704]) ).
fof(sdef76,definition,
( spl76
<=> op(e3,op(e1,e3)) != op(e1,e3) ),
introduced(definition,[new_symbols(naming,[spl76])],[avatar_definition]) ).
cnf(p227,plain,
( ~ spl76
| op(e3,op(e1,e3)) != op(e1,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef76]) ).
cnf(p1656,plain,
( ~ spl76
| ~ spl30
| op(e3,e2) != e2 ),
inference(superposition,[status(thm)],[p38,p227]) ).
cnf(p1726,plain,
( ~ spl76
| ~ spl58
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p1656,p73]) ).
cnf(sct107,plain,
( ~ spl76
| ~ spl58
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p1726]) ).
fof(sdef99,definition,
( spl99
<=> e0 != op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl99])],[avatar_definition]) ).
cnf(p476,plain,
( ~ spl99
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef99]) ).
cnf(p1660,plain,
( ~ spl99
| ~ spl40
| e0 != op(e0,e0) ),
inference(superposition,[status(thm)],[p51,p476]) ).
cnf(p1728,plain,
( ~ spl99
| ~ spl40
| ~ spl0
| e0 != e0 ),
inference(superposition,[status(thm)],[p1,p1660]) ).
cnf(p1729,plain,
( ~ spl99
| ~ spl40
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1728]) ).
cnf(sct108,plain,
( ~ spl99
| ~ spl40
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1729]) ).
fof(sdef96,definition,
( spl96
<=> e0 != op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl96])],[avatar_definition]) ).
cnf(p472,plain,
( ~ spl96
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef96]) ).
cnf(p1670,plain,
( ~ spl96
| ~ spl60
| e0 != op(e0,e0) ),
inference(superposition,[status(thm)],[p76,p472]) ).
cnf(p1731,plain,
( ~ spl96
| ~ spl60
| ~ spl0
| e0 != e0 ),
inference(superposition,[status(thm)],[p1,p1670]) ).
cnf(p1732,plain,
( ~ spl96
| ~ spl60
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1731]) ).
cnf(sct109,plain,
( ~ spl96
| ~ spl60
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1732]) ).
fof(sdef73,definition,
( spl73
<=> op(e3,op(e2,e3)) != op(e2,e3) ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl73
| op(e3,op(e2,e3)) != op(e2,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef73]) ).
cnf(p1563,plain,
( ~ spl73
| ~ spl45
| op(e3,e1) != e1 ),
inference(superposition,[status(thm)],[p57,p188]) ).
cnf(p1733,plain,
( ~ spl73
| ~ spl53
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p1563,p67]) ).
cnf(sct110,plain,
( ~ spl73
| ~ spl53
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p1733]) ).
fof(sdef87,definition,
( spl87
<=> op(e1,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(p454,plain,
( ~ spl87
| op(e1,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef87]) ).
cnf(p1739,plain,
( ~ spl87
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p29,p454]) ).
cnf(sct111,plain,
( ~ spl87
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1739]) ).
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(c51,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1242,plain,
( ~ spl17
| e1 != op(e2,e0) ),
inference(superposition,[status(thm)],[p22,c51]) ).
cnf(p1747,plain,
( ~ spl33
| ~ spl17
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p1242]) ).
cnf(p1820,plain,
( ~ spl33
| ~ spl17
| $false ),
inference(equality_resolution,[status(thm)],[p1747]) ).
cnf(sct112,plain,
( ~ spl33
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1820]) ).
fof(sdef100,definition,
( spl100
<=> e1 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p477,plain,
( ~ spl100
| e1 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
cnf(p1834,plain,
( ~ spl100
| ~ spl41
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p477]) ).
cnf(p1846,plain,
( ~ spl100
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p1834]) ).
cnf(sct113,plain,
( ~ spl100
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p1846]) ).
cnf(p1858,plain,
( ~ spl50
| ~ spl48
| e2 = e0 ),
inference(superposition,[status(thm)],[p63,p61]) ).
fof(sdef105,definition,
( spl105
<=> e2 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl105])],[avatar_definition]) ).
cnf(p484,plain,
( ~ spl105
| e2 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef105]) ).
cnf(p1482,plain,
( ~ spl105
| ~ spl20
| e2 != e0 ),
inference(superposition,[status(thm)],[p26,p484]) ).
cnf(p1885,plain,
( ~ spl105
| ~ spl50
| ~ spl48
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p1858,p1482]) ).
cnf(sct114,plain,
( ~ spl105
| ~ spl50
| ~ spl48
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1885]) ).
fof(sdef93,definition,
( spl93
<=> op(e3,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl93])],[avatar_definition]) ).
cnf(p466,plain,
( ~ spl93
| op(e3,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef93]) ).
cnf(p1911,plain,
( ~ spl93
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p77,p466]) ).
cnf(sct115,plain,
( ~ spl93
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1911]) ).
fof(sdef97,definition,
( spl97
<=> e1 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p473,plain,
( ~ spl97
| e1 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
cnf(p1912,plain,
( ~ spl97
| ~ spl61
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p473]) ).
cnf(p1925,plain,
( ~ spl97
| ~ spl61
| $false ),
inference(equality_resolution,[status(thm)],[p1912]) ).
cnf(sct116,plain,
( ~ spl97
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1925]) ).
cnf(p1625,plain,
( ~ spl99
| ~ spl41
| e0 != op(e1,e1) ),
inference(superposition,[status(thm)],[p52,p476]) ).
cnf(p1926,plain,
( ~ spl99
| ~ spl41
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p1625]) ).
cnf(p1927,plain,
( ~ spl99
| ~ spl41
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1926]) ).
cnf(sct117,plain,
( ~ spl99
| ~ spl41
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1927]) ).
cnf(p1741,plain,
( ~ spl66
| ~ spl35
| op(e0,e3) != e3 ),
inference(superposition,[status(thm)],[p44,p169]) ).
cnf(p1932,plain,
( ~ spl66
| ~ spl35
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p1741,p19]) ).
cnf(sct118,plain,
( ~ spl66
| ~ spl35
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p1932]) ).
cnf(p1892,plain,
( ~ spl67
| ~ spl50
| op(e0,e2) != e2 ),
inference(superposition,[status(thm)],[p63,p170]) ).
cnf(p1949,plain,
( ~ spl67
| ~ spl50
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1892,p13]) ).
cnf(sct119,plain,
( ~ spl67
| ~ spl50
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1949]) ).
cnf(p1833,plain,
( ~ spl71
| ~ spl38
| op(e1,e2) != e2 ),
inference(superposition,[status(thm)],[p48,p178]) ).
cnf(p1954,plain,
( ~ spl71
| ~ spl38
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p33,p1833]) ).
cnf(sct120,plain,
( ~ spl71
| ~ spl38
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p1954]) ).
cnf(p1898,plain,
( ~ spl68
| ~ spl55
| op(e1,e3) != e3 ),
inference(superposition,[status(thm)],[p69,p172]) ).
cnf(p1960,plain,
( ~ spl68
| ~ spl55
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p1898,p39]) ).
cnf(sct121,plain,
( ~ spl68
| ~ spl55
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p1960]) ).
fof(sdef79,definition,
( spl79
<=> op(e3,op(e0,e3)) != op(e0,e3) ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(p374,plain,
( ~ spl79
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(p1624,plain,
( ~ spl79
| ~ spl13
| op(e3,e1) != e1 ),
inference(superposition,[status(thm)],[p17,p374]) ).
cnf(p1965,plain,
( ~ spl79
| ~ spl53
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p67,p1624]) ).
cnf(sct122,plain,
( ~ spl79
| ~ spl53
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1965]) ).
fof(sdef95,definition,
( spl95
<=> op(e3,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(p470,plain,
( ~ spl95
| op(e3,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef95]) ).
cnf(p1974,plain,
( ~ spl95
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p79,p470]) ).
cnf(sct123,plain,
( ~ spl95
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p1974]) ).
fof(sdef70,definition,
( spl70
<=> op(e3,op(e3,e3)) != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p176,plain,
( ~ spl70
| op(e3,op(e3,e3)) != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
cnf(p1978,plain,
( ~ spl70
| ~ spl63
| e3 != e3 ),
inference(superposition,[status(thm)],[p79,p176]) ).
cnf(p1980,plain,
( ~ spl70
| ~ spl63
| $false ),
inference(equality_resolution,[status(thm)],[p1978]) ).
cnf(sct124,plain,
( ~ spl70
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p1980]) ).
fof(sdef101,definition,
( spl101
<=> e3 != op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p478,plain,
( ~ spl101
| e3 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
cnf(p1839,plain,
( ~ spl101
| ~ spl41
| e3 != op(e2,op(e1,e1)) ),
inference(superposition,[status(thm)],[p52,p478]) ).
cnf(p1942,plain,
( ~ spl101
| ~ spl41
| ~ spl20
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p26,p1839]) ).
cnf(p1981,plain,
( ~ spl101
| ~ spl41
| ~ spl35
| ~ spl20
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p1942]) ).
cnf(p1982,plain,
( ~ spl101
| ~ spl41
| ~ spl35
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1981]) ).
cnf(sct125,plain,
( ~ spl101
| ~ spl41
| ~ spl35
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1982]) ).
fof(sdef90,definition,
( spl90
<=> op(e2,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(p460,plain,
( ~ spl90
| op(e2,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef90]) ).
cnf(p1992,plain,
( ~ spl90
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p53,p460]) ).
cnf(sct126,plain,
( ~ spl90
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p1992]) ).
fof(sdef72,definition,
( spl72
<=> op(e2,op(e2,e2)) != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p183,plain,
( ~ spl72
| op(e2,op(e2,e2)) != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
cnf(p1997,plain,
( ~ spl72
| ~ spl42
| e2 != e2 ),
inference(superposition,[status(thm)],[p53,p183]) ).
cnf(p2004,plain,
( ~ spl72
| ~ spl42
| $false ),
inference(equality_resolution,[status(thm)],[p1997]) ).
cnf(sct127,plain,
( ~ spl72
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p2004]) ).
fof(sdef78,definition,
( spl78
<=> op(e2,op(e0,e2)) != op(e0,e2) ),
introduced(definition,[new_symbols(naming,[spl78])],[avatar_definition]) ).
cnf(p309,plain,
( ~ spl78
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef78]) ).
cnf(p1596,plain,
( ~ spl78
| ~ spl9
| op(e2,e1) != e1 ),
inference(superposition,[status(thm)],[p12,p309]) ).
cnf(p2006,plain,
( ~ spl78
| ~ spl37
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1596,p47]) ).
cnf(sct128,plain,
( ~ spl78
| ~ spl37
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2006]) ).
cnf(p1917,plain,
( ~ spl96
| ~ spl61
| e0 != op(e1,e1) ),
inference(superposition,[status(thm)],[p77,p472]) ).
cnf(p2008,plain,
( ~ spl96
| ~ spl61
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p1917]) ).
cnf(p2009,plain,
( ~ spl96
| ~ spl61
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p2008]) ).
cnf(sct129,plain,
( ~ spl96
| ~ spl61
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p2009]) ).
fof(sdef98,definition,
( spl98
<=> e2 != op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(definition,[new_symbols(naming,[spl98])],[avatar_definition]) ).
cnf(p474,plain,
( ~ spl98
| e2 != op(e3,op(op(e3,e3),op(e3,e3))) ),
inference(avatar_component_clause,[status(thm)],[sdef98]) ).
cnf(p1918,plain,
( ~ spl98
| ~ spl61
| e2 != op(e3,op(e1,e1)) ),
inference(superposition,[status(thm)],[p77,p474]) ).
cnf(p2012,plain,
( ~ spl98
| ~ spl61
| ~ spl20
| e2 != op(e3,e0) ),
inference(superposition,[status(thm)],[p26,p1918]) ).
cnf(p2014,plain,
( ~ spl98
| ~ spl61
| ~ spl50
| ~ spl20
| e2 != e2 ),
inference(superposition,[status(thm)],[p63,p2012]) ).
cnf(p2015,plain,
( ~ spl98
| ~ spl61
| ~ spl50
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p2014]) ).
cnf(sct130,plain,
( ~ spl98
| ~ spl61
| ~ spl50
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p2015]) ).
cnf(c50,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1240,plain,
( ~ spl0
| e0 != op(e3,e0) ),
inference(superposition,[status(thm)],[p1,c50]) ).
cnf(p1862,plain,
( ~ spl48
| ~ spl0
| e0 != e0 ),
inference(superposition,[status(thm)],[p61,p1240]) ).
cnf(p2064,plain,
( ~ spl48
| ~ spl0
| $false ),
inference(equality_resolution,[status(thm)],[p1862]) ).
cnf(sct131,plain,
( ~ spl48
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2064]) ).
cnf(c52,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1261,plain,
( ~ spl51
| op(e1,e0) != e3 ),
inference(superposition,[status(thm)],[p64,c52]) ).
cnf(p2083,plain,
( ~ spl51
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p24,p1261]) ).
cnf(sct132,plain,
( ~ spl51
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2083]) ).
cnf(p2054,plain,
( ~ spl18
| ~ spl16
| e2 = e0 ),
inference(superposition,[status(thm)],[p23,p21]) ).
fof(sdef102,definition,
( spl102
<=> e2 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p480,plain,
( ~ spl102
| e2 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
cnf(p1481,plain,
( ~ spl102
| ~ spl60
| e2 != e0 ),
inference(superposition,[status(thm)],[p76,p480]) ).
cnf(p2115,plain,
( ~ spl102
| ~ spl60
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2054,p1481]) ).
cnf(sct133,plain,
( ~ spl102
| ~ spl60
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2115]) ).
fof(sdef109,definition,
( spl109
<=> e3 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p490,plain,
( ~ spl109
| e3 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
cnf(p2117,plain,
( ~ spl109
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p490]) ).
cnf(p2130,plain,
( ~ spl109
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2117]) ).
cnf(sct134,plain,
( ~ spl109
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2130]) ).
cnf(p1740,plain,
( ~ spl66
| ~ spl33
| op(e0,e1) != e1 ),
inference(superposition,[status(thm)],[p42,p169]) ).
cnf(p2144,plain,
( ~ spl66
| ~ spl33
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p1740,p7]) ).
cnf(sct135,plain,
( ~ spl66
| ~ spl33
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2144]) ).
cnf(p1574,plain,
( ~ spl78
| ~ spl11
| op(e2,e3) != e3 ),
inference(superposition,[status(thm)],[p14,p309]) ).
cnf(p2145,plain,
( ~ spl78
| ~ spl47
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p1574,p59]) ).
cnf(sct136,plain,
( ~ spl78
| ~ spl47
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2145]) ).
cnf(p2123,plain,
( ~ spl104
| ~ spl23
| e0 != op(e3,e3) ),
inference(superposition,[status(thm)],[p29,p483]) ).
cnf(p2155,plain,
( ~ spl104
| ~ spl60
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p2123]) ).
cnf(p2157,plain,
( ~ spl104
| ~ spl60
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2155]) ).
cnf(sct137,plain,
( ~ spl104
| ~ spl60
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2157]) ).
fof(sdef110,definition,
( spl110
<=> e2 != op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p491,plain,
( ~ spl110
| e2 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
cnf(p2125,plain,
( ~ spl110
| ~ spl23
| e2 != op(e1,op(e3,e3)) ),
inference(superposition,[status(thm)],[p29,p491]) ).
cnf(p2160,plain,
( ~ spl110
| ~ spl60
| ~ spl23
| e2 != op(e1,e0) ),
inference(superposition,[status(thm)],[p76,p2125]) ).
cnf(p2164,plain,
( ~ spl110
| ~ spl60
| ~ spl23
| ~ spl18
| e2 != e2 ),
inference(superposition,[status(thm)],[p23,p2160]) ).
cnf(p2165,plain,
( ~ spl110
| ~ spl60
| ~ spl23
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2164]) ).
cnf(sct138,plain,
( ~ spl110
| ~ spl60
| ~ spl23
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2165]) ).
cnf(p1743,plain,
( ~ spl35
| ~ spl33
| e3 = e1 ),
inference(superposition,[status(thm)],[p44,p42]) ).
cnf(p1751,plain,
( ~ spl35
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p1743,c100]) ).
cnf(p2188,plain,
( ~ spl35
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p1751]) ).
cnf(sct139,plain,
( ~ spl35
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p2188]) ).
cnf(c65,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1901,plain,
( ~ spl56
| op(e2,e2) != e0 ),
inference(superposition,[status(thm)],[p71,c65]) ).
cnf(p2003,plain,
( ~ spl56
| ~ spl42
| e2 != e0 ),
inference(superposition,[status(thm)],[p53,p1901]) ).
cnf(p2199,plain,
( ~ spl56
| ~ spl42
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2003,p2054]) ).
cnf(sct140,plain,
( ~ spl56
| ~ spl42
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2199]) ).
cnf(c89,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1853,plain,
( ~ spl44
| op(e2,e2) != e0 ),
inference(superposition,[status(thm)],[p56,c89]) ).
cnf(p2002,plain,
( ~ spl44
| ~ spl42
| e2 != e0 ),
inference(superposition,[status(thm)],[p53,p1853]) ).
cnf(p2276,plain,
( ~ spl44
| ~ spl42
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2002,p2054]) ).
cnf(sct141,plain,
( ~ spl44
| ~ spl42
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2276]) ).
cnf(p2076,plain,
( ~ spl19
| ~ spl18
| e2 = e3 ),
inference(superposition,[status(thm)],[p23,p24]) ).
cnf(p2278,plain,
( ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p2076,c101]) ).
cnf(sct142,plain,
( ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2278]) ).
fof(sdef85,definition,
( spl85
<=> op(e1,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p450,plain,
( ~ spl85
| op(e1,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p2283,plain,
( ~ spl85
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p27,p450]) ).
cnf(sct143,plain,
( ~ spl85
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2283]) ).
fof(sdef74,definition,
( spl74
<=> op(e1,op(e1,e1)) != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(p193,plain,
( ~ spl74
| op(e1,op(e1,e1)) != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p2289,plain,
( ~ spl74
| ~ spl21
| e1 != e1 ),
inference(superposition,[status(thm)],[p27,p193]) ).
cnf(p2298,plain,
( ~ spl74
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p2289]) ).
cnf(sct144,plain,
( ~ spl74
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2298]) ).
cnf(p2074,plain,
( ~ spl65
| ~ spl18
| op(e0,e2) != e2 ),
inference(superposition,[status(thm)],[p23,p168]) ).
cnf(p2302,plain,
( ~ spl65
| ~ spl18
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p13,p2074]) ).
cnf(sct145,plain,
( ~ spl65
| ~ spl18
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2302]) ).
fof(sdef77,definition,
( spl77
<=> op(e1,op(e0,e1)) != op(e0,e1) ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p244,plain,
( ~ spl77
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef77]) ).
cnf(p1588,plain,
( ~ spl77
| ~ spl7
| op(e1,e3) != e3 ),
inference(superposition,[status(thm)],[p9,p244]) ).
cnf(p2303,plain,
( ~ spl77
| ~ spl31
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p39,p1588]) ).
cnf(sct146,plain,
( ~ spl77
| ~ spl31
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p2303]) ).
fof(sdef107,definition,
( spl107
<=> e3 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p487,plain,
( ~ spl107
| e3 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
cnf(p2304,plain,
( ~ spl107
| ~ spl43
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p487]) ).
cnf(p2317,plain,
( ~ spl107
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2304]) ).
cnf(sct147,plain,
( ~ spl107
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2317]) ).
cnf(p2310,plain,
( ~ spl99
| ~ spl43
| e0 != op(e3,e3) ),
inference(superposition,[status(thm)],[p54,p476]) ).
cnf(p2328,plain,
( ~ spl99
| ~ spl60
| ~ spl43
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p2310]) ).
cnf(p2329,plain,
( ~ spl99
| ~ spl60
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2328]) ).
cnf(sct148,plain,
( ~ spl99
| ~ spl60
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2329]) ).
fof(sdef108,definition,
( spl108
<=> e1 != op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p488,plain,
( ~ spl108
| e1 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
cnf(p2312,plain,
( ~ spl108
| ~ spl43
| e1 != op(e2,op(e3,e3)) ),
inference(superposition,[status(thm)],[p54,p488]) ).
cnf(p2333,plain,
( ~ spl108
| ~ spl60
| ~ spl43
| e1 != op(e2,e0) ),
inference(superposition,[status(thm)],[p76,p2312]) ).
cnf(p2336,plain,
( ~ spl108
| ~ spl60
| ~ spl43
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p2333]) ).
cnf(p2337,plain,
( ~ spl108
| ~ spl60
| ~ spl43
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p2336]) ).
cnf(sct149,plain,
( ~ spl108
| ~ spl60
| ~ spl43
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p2337]) ).
fof(sdef94,definition,
( spl94
<=> op(e3,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl94])],[avatar_definition]) ).
cnf(p468,plain,
( ~ spl94
| op(e3,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef94]) ).
cnf(p2356,plain,
( ~ spl94
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p78,p468]) ).
cnf(sct150,plain,
( ~ spl94
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p2356]) ).
cnf(p2056,plain,
( ~ spl19
| ~ spl16
| e3 = e0 ),
inference(superposition,[status(thm)],[p24,p21]) ).
fof(sdef120,definition,
( spl120
<=> e3 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl120])],[avatar_definition]) ).
cnf(p507,plain,
( ~ spl120
| e3 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef120]) ).
cnf(p1496,plain,
( ~ spl120
| ~ spl0
| e3 != e0 ),
inference(superposition,[status(thm)],[p1,p507]) ).
cnf(p2382,plain,
( ~ spl120
| ~ spl19
| ~ spl16
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p2056,p1496]) ).
cnf(sct151,plain,
( ~ spl120
| ~ spl19
| ~ spl16
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2382]) ).
cnf(p2387,plain,
( ~ spl105
| ~ spl22
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p484]) ).
cnf(p2405,plain,
( ~ spl105
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2387]) ).
cnf(sct152,plain,
( ~ spl105
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2405]) ).
fof(sdef122,definition,
( spl122
<=> e2 != op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl122])],[avatar_definition]) ).
cnf(p510,plain,
( ~ spl122
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef122]) ).
cnf(p1922,plain,
( ~ spl122
| ~ spl61
| e2 != op(e1,e1) ),
inference(superposition,[status(thm)],[p77,p510]) ).
cnf(p2400,plain,
( ~ spl122
| ~ spl61
| ~ spl22
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p1922]) ).
cnf(p2406,plain,
( ~ spl122
| ~ spl61
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2400]) ).
cnf(sct153,plain,
( ~ spl122
| ~ spl61
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2406]) ).
fof(sdef123,definition,
( spl123
<=> e2 != op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl123])],[avatar_definition]) ).
cnf(p512,plain,
( ~ spl123
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef123]) ).
cnf(p2396,plain,
( ~ spl123
| ~ spl22
| e2 != op(e2,e2) ),
inference(superposition,[status(thm)],[p28,p512]) ).
cnf(p2430,plain,
( ~ spl123
| ~ spl42
| ~ spl22
| e2 != e2 ),
inference(superposition,[status(thm)],[p53,p2396]) ).
cnf(p2432,plain,
( ~ spl123
| ~ spl42
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2430]) ).
cnf(sct154,plain,
( ~ spl123
| ~ spl42
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2432]) ).
fof(sdef115,definition,
( spl115
<=> e0 != op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(p499,plain,
( ~ spl115
| e0 != op(e3,op(op(e3,e3),op(e3,e3))) ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p1921,plain,
( ~ spl115
| ~ spl61
| e0 != op(e3,op(e1,e1)) ),
inference(superposition,[status(thm)],[p77,p499]) ).
cnf(p2403,plain,
( ~ spl115
| ~ spl61
| ~ spl22
| e0 != op(e3,e2) ),
inference(superposition,[status(thm)],[p28,p1921]) ).
cnf(p2436,plain,
( ~ spl115
| ~ spl61
| ~ spl56
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p2403]) ).
cnf(p2438,plain,
( ~ spl115
| ~ spl61
| ~ spl56
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2436]) ).
cnf(sct155,plain,
( ~ spl115
| ~ spl61
| ~ spl56
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2438]) ).
cnf(p2383,plain,
( ~ spl65
| ~ spl19
| op(e0,e3) != e3 ),
inference(superposition,[status(thm)],[p24,p168]) ).
cnf(p2444,plain,
( ~ spl65
| ~ spl19
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p19,p2383]) ).
cnf(sct156,plain,
( ~ spl65
| ~ spl19
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p2444]) ).
cnf(p1614,plain,
( ~ spl77
| ~ spl6
| op(e1,e2) != e2 ),
inference(superposition,[status(thm)],[p8,p244]) ).
cnf(p2451,plain,
( ~ spl77
| ~ spl26
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p33,p1614]) ).
cnf(sct157,plain,
( ~ spl77
| ~ spl26
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p2451]) ).
fof(sdef111,definition,
( spl111
<=> e1 != op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(p493,plain,
( ~ spl111
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef111]) ).
cnf(p1920,plain,
( ~ spl111
| ~ spl61
| e1 != op(e1,e1) ),
inference(superposition,[status(thm)],[p77,p493]) ).
cnf(p2446,plain,
( ~ spl111
| ~ spl61
| ~ spl21
| e1 != e1 ),
inference(superposition,[status(thm)],[p27,p1920]) ).
cnf(p2453,plain,
( ~ spl111
| ~ spl61
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p2446]) ).
cnf(sct158,plain,
( ~ spl111
| ~ spl61
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2453]) ).
fof(sdef113,definition,
( spl113
<=> e1 != op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(p496,plain,
( ~ spl113
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
cnf(p2313,plain,
( ~ spl113
| ~ spl43
| e1 != op(e3,e3) ),
inference(superposition,[status(thm)],[p54,p496]) ).
cnf(p2457,plain,
( ~ spl113
| ~ spl61
| ~ spl43
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p2313]) ).
cnf(p2459,plain,
( ~ spl113
| ~ spl61
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2457]) ).
cnf(sct159,plain,
( ~ spl113
| ~ spl61
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2459]) ).
fof(sdef119,definition,
( spl119
<=> e0 != op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(definition,[new_symbols(naming,[spl119])],[avatar_definition]) ).
cnf(p505,plain,
( ~ spl119
| e0 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(avatar_component_clause,[status(thm)],[sdef119]) ).
cnf(p2314,plain,
( ~ spl119
| ~ spl43
| e0 != op(e2,op(e3,e3)) ),
inference(superposition,[status(thm)],[p54,p505]) ).
cnf(p2462,plain,
( ~ spl119
| ~ spl61
| ~ spl43
| e0 != op(e2,e1) ),
inference(superposition,[status(thm)],[p77,p2314]) ).
cnf(p2465,plain,
( ~ spl119
| ~ spl61
| ~ spl43
| ~ spl36
| e0 != e0 ),
inference(superposition,[status(thm)],[p46,p2462]) ).
cnf(p2466,plain,
( ~ spl119
| ~ spl61
| ~ spl43
| ~ spl36
| $false ),
inference(equality_resolution,[status(thm)],[p2465]) ).
cnf(sct160,plain,
( ~ spl119
| ~ spl61
| ~ spl43
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2466]) ).
fof(sdef129,definition,
( spl129
<=> e3 != op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl129])],[avatar_definition]) ).
cnf(p523,plain,
( ~ spl129
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef129]) ).
cnf(p2315,plain,
( ~ spl129
| ~ spl43
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p54,p523]) ).
cnf(p2472,plain,
( ~ spl129
| ~ spl63
| ~ spl43
| e3 != e3 ),
inference(superposition,[status(thm)],[p79,p2315]) ).
cnf(p2475,plain,
( ~ spl129
| ~ spl63
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2472]) ).
cnf(sct161,plain,
( ~ spl129
| ~ spl63
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2475]) ).
fof(sdef130,definition,
( spl130
<=> e3 != op(op(e1,e1),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl130])],[avatar_definition]) ).
cnf(p525,plain,
( ~ spl130
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef130]) ).
cnf(p2398,plain,
( ~ spl130
| ~ spl22
| e3 != op(e2,e2) ),
inference(superposition,[status(thm)],[p28,p525]) ).
cnf(p2476,plain,
( ~ spl130
| ~ spl43
| ~ spl22
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p2398]) ).
cnf(p2477,plain,
( ~ spl130
| ~ spl43
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2476]) ).
cnf(sct162,plain,
( ~ spl130
| ~ spl43
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2477]) ).
fof(sdef127,definition,
( spl127
<=> e0 != op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(definition,[new_symbols(naming,[spl127])],[avatar_definition]) ).
cnf(p519,plain,
( ~ spl127
| e0 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(avatar_component_clause,[status(thm)],[sdef127]) ).
cnf(p2397,plain,
( ~ spl127
| ~ spl22
| e0 != op(e1,op(e2,e2)) ),
inference(superposition,[status(thm)],[p28,p519]) ).
cnf(p2480,plain,
( ~ spl127
| ~ spl43
| ~ spl22
| e0 != op(e1,e3) ),
inference(superposition,[status(thm)],[p54,p2397]) ).
cnf(p2481,plain,
( ~ spl127
| ~ spl43
| ~ spl28
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p36,p2480]) ).
cnf(p2482,plain,
( ~ spl127
| ~ spl43
| ~ spl28
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2481]) ).
cnf(sct163,plain,
( ~ spl127
| ~ spl43
| ~ spl28
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2482]) ).
cnf(c88,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1832,plain,
( ~ spl38
| e2 != op(e2,e3) ),
inference(superposition,[status(thm)],[p48,c88]) ).
cnf(p1938,plain,
( ~ spl44
| ~ spl38
| e2 != e0 ),
inference(superposition,[status(thm)],[p56,p1832]) ).
cnf(p2485,plain,
( ~ spl44
| ~ spl38
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1938,p2054]) ).
cnf(sct164,plain,
( ~ spl44
| ~ spl38
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2485]) ).
cnf(p1841,plain,
( ~ spl113
| ~ spl41
| e1 != op(e1,e1) ),
inference(superposition,[status(thm)],[p52,p496]) ).
cnf(p2486,plain,
( ~ spl113
| ~ spl41
| ~ spl21
| e1 != e1 ),
inference(superposition,[status(thm)],[p27,p1841]) ).
cnf(p2490,plain,
( ~ spl113
| ~ spl41
| ~ spl21
| $false ),
inference(equality_resolution,[status(thm)],[p2486]) ).
cnf(sct165,plain,
( ~ spl113
| ~ spl41
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2490]) ).
cnf(p2502,plain,
( ~ spl102
| ~ spl62
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p480]) ).
cnf(p2510,plain,
( ~ spl102
| ~ spl62
| $false ),
inference(equality_resolution,[status(thm)],[p2502]) ).
cnf(sct166,plain,
( ~ spl102
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p2510]) ).
cnf(p2483,plain,
( ~ spl111
| ~ spl62
| e1 != op(e2,e2) ),
inference(superposition,[status(thm)],[p78,p493]) ).
cnf(p2515,plain,
( ~ spl111
| ~ spl62
| ~ spl41
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p2483]) ).
cnf(p2516,plain,
( ~ spl111
| ~ spl62
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p2515]) ).
cnf(sct167,plain,
( ~ spl111
| ~ spl62
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2516]) ).
cnf(p2508,plain,
( ~ spl115
| ~ spl62
| e0 != op(e3,op(e2,e2)) ),
inference(superposition,[status(thm)],[p78,p499]) ).
cnf(p2523,plain,
( ~ spl115
| ~ spl62
| ~ spl41
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p52,p2508]) ).
cnf(p2524,plain,
( ~ spl115
| ~ spl62
| ~ spl52
| ~ spl41
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p2523]) ).
cnf(p2525,plain,
( ~ spl115
| ~ spl62
| ~ spl52
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p2524]) ).
cnf(sct168,plain,
( ~ spl115
| ~ spl62
| ~ spl52
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2525]) ).
cnf(p1577,plain,
( ~ spl79
| ~ spl14
| op(e3,e2) != e2 ),
inference(superposition,[status(thm)],[p18,p374]) ).
cnf(p2527,plain,
( ~ spl79
| ~ spl58
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p73,p1577]) ).
cnf(sct169,plain,
( ~ spl79
| ~ spl58
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p2527]) ).
cnf(p2195,plain,
( ~ spl67
| ~ spl49
| op(e0,e1) != e1 ),
inference(superposition,[status(thm)],[p62,p170]) ).
cnf(p2529,plain,
( ~ spl67
| ~ spl49
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p7,p2195]) ).
cnf(sct170,plain,
( ~ spl67
| ~ spl49
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2529]) ).
cnf(p1845,plain,
( ~ spl129
| ~ spl41
| e3 != op(e1,e1) ),
inference(superposition,[status(thm)],[p52,p523]) ).
cnf(p2532,plain,
( ~ spl129
| ~ spl41
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p1845]) ).
cnf(p2535,plain,
( ~ spl129
| ~ spl41
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2532]) ).
cnf(sct171,plain,
( ~ spl129
| ~ spl41
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2535]) ).
cnf(p2128,plain,
( ~ spl130
| ~ spl23
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p29,p525]) ).
cnf(p2537,plain,
( ~ spl130
| ~ spl63
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p79,p2128]) ).
cnf(p2540,plain,
( ~ spl130
| ~ spl63
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2537]) ).
cnf(sct172,plain,
( ~ spl130
| ~ spl63
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2540]) ).
cnf(p1844,plain,
( ~ spl119
| ~ spl41
| e0 != op(e2,op(e1,e1)) ),
inference(superposition,[status(thm)],[p52,p505]) ).
cnf(p2533,plain,
( ~ spl119
| ~ spl41
| ~ spl23
| e0 != op(e2,e3) ),
inference(superposition,[status(thm)],[p29,p1844]) ).
cnf(p2542,plain,
( ~ spl119
| ~ spl44
| ~ spl41
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p56,p2533]) ).
cnf(p2543,plain,
( ~ spl119
| ~ spl44
| ~ spl41
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2542]) ).
cnf(sct173,plain,
( ~ spl119
| ~ spl44
| ~ spl41
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2543]) ).
cnf(p2509,plain,
( ~ spl122
| ~ spl62
| e2 != op(e2,e2) ),
inference(superposition,[status(thm)],[p78,p510]) ).
cnf(p2549,plain,
( ~ spl122
| ~ spl62
| ~ spl42
| e2 != e2 ),
inference(superposition,[status(thm)],[p53,p2509]) ).
cnf(p2552,plain,
( ~ spl122
| ~ spl62
| ~ spl42
| $false ),
inference(equality_resolution,[status(thm)],[p2549]) ).
cnf(sct174,plain,
( ~ spl122
| ~ spl62
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p2552]) ).
cnf(p2126,plain,
( ~ spl123
| ~ spl23
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p29,p512]) ).
cnf(p2553,plain,
( ~ spl123
| ~ spl62
| ~ spl23
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p2126]) ).
cnf(p2557,plain,
( ~ spl123
| ~ spl62
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2553]) ).
cnf(sct175,plain,
( ~ spl123
| ~ spl62
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2557]) ).
cnf(p2127,plain,
( ~ spl127
| ~ spl23
| e0 != op(e1,op(e3,e3)) ),
inference(superposition,[status(thm)],[p29,p519]) ).
cnf(p2556,plain,
( ~ spl127
| ~ spl62
| ~ spl23
| e0 != op(e1,e2) ),
inference(superposition,[status(thm)],[p78,p2127]) ).
cnf(p2559,plain,
( ~ spl127
| ~ spl62
| ~ spl24
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p31,p2556]) ).
cnf(p2560,plain,
( ~ spl127
| ~ spl62
| ~ spl24
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2559]) ).
cnf(sct176,plain,
( ~ spl127
| ~ spl62
| ~ spl24
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2560]) ).
cnf(p2393,plain,
( ~ spl104
| ~ spl22
| e0 != op(e2,e2) ),
inference(superposition,[status(thm)],[p28,p483]) ).
cnf(p2564,plain,
( ~ spl104
| ~ spl40
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p2393]) ).
cnf(p2576,plain,
( ~ spl104
| ~ spl40
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2564]) ).
cnf(sct177,plain,
( ~ spl104
| ~ spl40
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2576]) ).
cnf(p1609,plain,
( ~ spl96
| ~ spl62
| e0 != op(e2,e2) ),
inference(superposition,[status(thm)],[p78,p472]) ).
cnf(p2571,plain,
( ~ spl96
| ~ spl62
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p1609]) ).
cnf(p2577,plain,
( ~ spl96
| ~ spl62
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p2571]) ).
cnf(sct178,plain,
( ~ spl96
| ~ spl62
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2577]) ).
cnf(p2501,plain,
( ~ spl69
| ~ spl59
| op(e2,e3) != e3 ),
inference(superposition,[status(thm)],[p74,p174]) ).
cnf(p2583,plain,
( ~ spl69
| ~ spl59
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p59,p2501]) ).
cnf(sct179,plain,
( ~ spl69
| ~ spl59
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p2583]) ).
cnf(p2414,plain,
( ~ spl75
| ~ spl25
| op(e2,e1) != e1 ),
inference(superposition,[status(thm)],[p32,p210]) ).
cnf(p2584,plain,
( ~ spl75
| ~ spl37
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p2414,p47]) ).
cnf(sct180,plain,
( ~ spl75
| ~ spl37
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2584]) ).
fof(sdef103,definition,
( spl103
<=> e1 != op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p481,plain,
( ~ spl103
| e1 != op(e3,op(op(e3,e3),op(e3,e3))) ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
cnf(p2507,plain,
( ~ spl103
| ~ spl62
| e1 != op(e3,op(e2,e2)) ),
inference(superposition,[status(thm)],[p78,p481]) ).
cnf(p2575,plain,
( ~ spl103
| ~ spl62
| ~ spl40
| e1 != op(e3,e0) ),
inference(superposition,[status(thm)],[p51,p2507]) ).
cnf(p2588,plain,
( ~ spl103
| ~ spl62
| ~ spl49
| ~ spl40
| e1 != e1 ),
inference(superposition,[status(thm)],[p62,p2575]) ).
cnf(p2589,plain,
( ~ spl103
| ~ spl62
| ~ spl49
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p2588]) ).
cnf(sct181,plain,
( ~ spl103
| ~ spl62
| ~ spl49
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2589]) ).
fof(sdef106,definition,
( spl106
<=> e3 != op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(definition,[new_symbols(naming,[spl106])],[avatar_definition]) ).
cnf(p485,plain,
( ~ spl106
| e3 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(avatar_component_clause,[status(thm)],[sdef106]) ).
cnf(p2394,plain,
( ~ spl106
| ~ spl22
| e3 != op(e1,op(e2,e2)) ),
inference(superposition,[status(thm)],[p28,p485]) ).
cnf(p2566,plain,
( ~ spl106
| ~ spl40
| ~ spl22
| e3 != op(e1,e0) ),
inference(superposition,[status(thm)],[p51,p2394]) ).
cnf(p2591,plain,
( ~ spl106
| ~ spl40
| ~ spl22
| ~ spl19
| e3 != e3 ),
inference(superposition,[status(thm)],[p24,p2566]) ).
cnf(p2592,plain,
( ~ spl106
| ~ spl40
| ~ spl22
| ~ spl19
| $false ),
inference(equality_resolution,[status(thm)],[p2591]) ).
cnf(sct182,plain,
( ~ spl106
| ~ spl40
| ~ spl22
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2592]) ).
fof(sdef81,definition,
( spl81
<=> op(e0,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl81])],[avatar_definition]) ).
cnf(p442,plain,
( ~ spl81
| op(e0,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef81]) ).
cnf(p2691,plain,
( ~ spl81
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2,p442]) ).
cnf(sct183,plain,
( ~ spl81
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2691]) ).
cnf(c66,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1455,plain,
( ~ spl14
| e2 != op(e1,e3) ),
inference(superposition,[status(thm)],[p18,c66]) ).
cnf(p2421,plain,
( ~ spl28
| ~ spl14
| e2 != e0 ),
inference(superposition,[status(thm)],[p36,p1455]) ).
cnf(p2752,plain,
( ~ spl50
| ~ spl48
| ~ spl28
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p1858,p2421]) ).
cnf(sct184,plain,
( ~ spl50
| ~ spl48
| ~ spl28
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p2752]) ).
fof(sdef83,definition,
( spl83
<=> op(e0,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(p446,plain,
( ~ spl83
| op(e0,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef83]) ).
cnf(p2760,plain,
( ~ spl83
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p4,p446]) ).
cnf(sct185,plain,
( ~ spl83
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2760]) ).
cnf(p537,plain,
( ~ spl2
| ~ spl1
| e1 = e2 ),
inference(superposition,[status(thm)],[p2,p3]) ).
cnf(p2825,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p537,c99]) ).
cnf(sct186,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2825]) ).
cnf(c62,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1379,plain,
( ~ spl10
| e2 != op(e3,e2) ),
inference(superposition,[status(thm)],[p13,c62]) ).
cnf(p1906,plain,
( ~ spl56
| ~ spl10
| e2 != e0 ),
inference(superposition,[status(thm)],[p71,p1379]) ).
cnf(p2848,plain,
( ~ spl56
| ~ spl50
| ~ spl48
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1858,p1906]) ).
cnf(sct187,plain,
( ~ spl56
| ~ spl50
| ~ spl48
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2848]) ).
cnf(p2849,plain,
( ~ spl56
| ~ spl18
| ~ spl16
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1906,p2054]) ).
cnf(sct188,plain,
( ~ spl56
| ~ spl18
| ~ spl16
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2849]) ).
cnf(c60,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1375,plain,
( ~ spl24
| op(e0,e2) != e0 ),
inference(superposition,[status(thm)],[p31,c60]) ).
cnf(p2301,plain,
( ~ spl24
| ~ spl10
| e2 != e0 ),
inference(superposition,[status(thm)],[p13,p1375]) ).
cnf(p2853,plain,
( ~ spl50
| ~ spl48
| ~ spl24
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p1858,p2301]) ).
cnf(sct189,plain,
( ~ spl50
| ~ spl48
| ~ spl24
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2853]) ).
cnf(p1905,plain,
( ~ spl69
| ~ spl56
| op(e2,e0) != e0 ),
inference(superposition,[status(thm)],[p71,p174]) ).
cnf(p2860,plain,
( ~ spl69
| ~ spl56
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p41,p1905]) ).
cnf(sct190,plain,
( ~ spl69
| ~ spl56
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2860]) ).
cnf(c64,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1410,plain,
( ~ spl27
| e3 != op(e3,e2) ),
inference(superposition,[status(thm)],[p34,c64]) ).
cnf(p1907,plain,
( ~ spl56
| ~ spl27
| e3 != e0 ),
inference(superposition,[status(thm)],[p71,p1410]) ).
cnf(p2862,plain,
( ~ spl56
| ~ spl27
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1907,p2056]) ).
cnf(sct191,plain,
( ~ spl56
| ~ spl27
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2862]) ).
cnf(p2686,plain,
( ~ spl3
| ~ spl1
| e3 = e1 ),
inference(superposition,[status(thm)],[p4,p2]) ).
cnf(p1835,plain,
( ~ spl107
| ~ spl41
| e3 != e1 ),
inference(superposition,[status(thm)],[p52,p487]) ).
cnf(p2918,plain,
( ~ spl107
| ~ spl41
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2686,p1835]) ).
cnf(sct192,plain,
( ~ spl107
| ~ spl41
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2918]) ).
cnf(c63,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1416,plain,
( ~ spl27
| e3 != op(e2,e2) ),
inference(superposition,[status(thm)],[p34,c63]) ).
cnf(p1843,plain,
( ~ spl41
| ~ spl27
| e3 != e1 ),
inference(superposition,[status(thm)],[p52,p1416]) ).
cnf(p2919,plain,
( ~ spl41
| ~ spl27
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2686,p1843]) ).
cnf(sct193,plain,
( ~ spl41
| ~ spl27
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2919]) ).
cnf(p1972,plain,
( ~ spl93
| ~ spl63
| e3 != e1 ),
inference(superposition,[status(thm)],[p79,p466]) ).
cnf(p2926,plain,
( ~ spl93
| ~ spl63
| ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2686,p1972]) ).
cnf(sct194,plain,
( ~ spl93
| ~ spl63
| ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2926]) ).
cnf(p2764,plain,
( ~ spl120
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p507]) ).
cnf(p2927,plain,
( ~ spl120
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2764]) ).
cnf(sct195,plain,
( ~ spl120
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2927]) ).
fof(sdef82,definition,
( spl82
<=> op(e0,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl82])],[avatar_definition]) ).
cnf(p444,plain,
( ~ spl82
| op(e0,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef82]) ).
cnf(p2937,plain,
( ~ spl82
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p3,p444]) ).
cnf(sct196,plain,
( ~ spl82
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2937]) ).
fof(sdef126,definition,
( spl126
<=> e1 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl126])],[avatar_definition]) ).
cnf(p517,plain,
( ~ spl126
| e1 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef126]) ).
cnf(p2697,plain,
( ~ spl126
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p517]) ).
cnf(p2938,plain,
( ~ spl126
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2697]) ).
cnf(sct197,plain,
( ~ spl126
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2938]) ).
cnf(p2682,plain,
( ~ spl77
| ~ spl4
| op(e1,e0) != e0 ),
inference(superposition,[status(thm)],[p6,p244]) ).
cnf(p2940,plain,
( ~ spl77
| ~ spl16
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p2682,p21]) ).
cnf(sct198,plain,
( ~ spl77
| ~ spl16
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2940]) ).
cnf(p2953,plain,
( ~ spl50
| ~ spl48
| ~ spl44
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p1858,p1938]) ).
cnf(sct199,plain,
( ~ spl50
| ~ spl48
| ~ spl44
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p2953]) ).
cnf(p1854,plain,
( ~ spl73
| ~ spl44
| op(e3,e0) != e0 ),
inference(superposition,[status(thm)],[p56,p188]) ).
cnf(p2956,plain,
( ~ spl73
| ~ spl48
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p61,p1854]) ).
cnf(sct200,plain,
( ~ spl73
| ~ spl48
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2956]) ).
cnf(p2422,plain,
( ~ spl76
| ~ spl28
| op(e3,e0) != e0 ),
inference(superposition,[status(thm)],[p36,p227]) ).
cnf(p2959,plain,
( ~ spl76
| ~ spl48
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p61,p2422]) ).
cnf(sct201,plain,
( ~ spl76
| ~ spl48
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p2959]) ).
cnf(p1485,plain,
( ~ spl107
| ~ spl40
| e3 != e0 ),
inference(superposition,[status(thm)],[p51,p487]) ).
cnf(p2962,plain,
( ~ spl107
| ~ spl40
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1485,p2056]) ).
cnf(sct202,plain,
( ~ spl107
| ~ spl40
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2962]) ).
cnf(c61,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1419,plain,
( ~ spl40
| op(e0,e2) != e0 ),
inference(superposition,[status(thm)],[p51,c61]) ).
cnf(p1522,plain,
( ~ spl40
| ~ spl11
| e3 != e0 ),
inference(superposition,[status(thm)],[p14,p1419]) ).
cnf(p2963,plain,
( ~ spl40
| ~ spl19
| ~ spl16
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p1522,p2056]) ).
cnf(sct203,plain,
( ~ spl40
| ~ spl19
| ~ spl16
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2963]) ).
fof(sdef116,definition,
( spl116
<=> e1 != op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl116])],[avatar_definition]) ).
cnf(p501,plain,
( ~ spl116
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef116]) ).
cnf(p2699,plain,
( ~ spl116
| ~ spl1
| e1 != op(e1,e1) ),
inference(superposition,[status(thm)],[p2,p501]) ).
cnf(p2968,plain,
( ~ spl116
| ~ spl21
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p27,p2699]) ).
cnf(p2969,plain,
( ~ spl116
| ~ spl21
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2968]) ).
cnf(sct204,plain,
( ~ spl116
| ~ spl21
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2969]) ).
cnf(p1669,plain,
( ~ spl113
| ~ spl40
| e1 != op(e0,e0) ),
inference(superposition,[status(thm)],[p51,p496]) ).
cnf(p2973,plain,
( ~ spl113
| ~ spl40
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p1669]) ).
cnf(p2975,plain,
( ~ spl113
| ~ spl40
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2973]) ).
cnf(sct205,plain,
( ~ spl113
| ~ spl40
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2975]) ).
cnf(p1629,plain,
( ~ spl101
| ~ spl40
| e3 != op(e2,op(e0,e0)) ),
inference(superposition,[status(thm)],[p51,p478]) ).
cnf(p2979,plain,
( ~ spl101
| ~ spl40
| ~ spl1
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p2,p1629]) ).
cnf(p2980,plain,
( ~ spl101
| ~ spl40
| ~ spl39
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p2979]) ).
cnf(p2981,plain,
( ~ spl101
| ~ spl40
| ~ spl39
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2980]) ).
cnf(sct206,plain,
( ~ spl101
| ~ spl40
| ~ spl39
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2981]) ).
cnf(p2094,plain,
( ~ spl75
| ~ spl24
| op(e2,e0) != e0 ),
inference(superposition,[status(thm)],[p31,p210]) ).
cnf(p2984,plain,
( ~ spl75
| ~ spl32
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p41,p2094]) ).
cnf(sct207,plain,
( ~ spl75
| ~ spl32
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2984]) ).
cnf(p1659,plain,
( ~ spl111
| ~ spl60
| e1 != op(e0,e0) ),
inference(superposition,[status(thm)],[p76,p493]) ).
cnf(p2986,plain,
( ~ spl111
| ~ spl60
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p1659]) ).
cnf(p2987,plain,
( ~ spl111
| ~ spl60
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2986]) ).
cnf(sct208,plain,
( ~ spl111
| ~ spl60
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2987]) ).
cnf(p1671,plain,
( ~ spl98
| ~ spl60
| e2 != op(e3,op(e0,e0)) ),
inference(superposition,[status(thm)],[p76,p474]) ).
cnf(p2990,plain,
( ~ spl98
| ~ spl60
| ~ spl1
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p2,p1671]) ).
cnf(p2991,plain,
( ~ spl98
| ~ spl60
| ~ spl54
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p68,p2990]) ).
cnf(p2992,plain,
( ~ spl98
| ~ spl60
| ~ spl54
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2991]) ).
cnf(sct209,plain,
( ~ spl98
| ~ spl60
| ~ spl54
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2992]) ).
cnf(c80,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2082,plain,
( ~ spl19
| e3 != op(e1,e3) ),
inference(superposition,[status(thm)],[p24,c80]) ).
cnf(p2427,plain,
( ~ spl28
| ~ spl19
| e3 != e0 ),
inference(superposition,[status(thm)],[p36,p2082]) ).
cnf(p2993,plain,
( ~ spl28
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2427,p2056]) ).
cnf(sct210,plain,
( ~ spl28
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2993]) ).
cnf(p1454,plain,
( ~ spl11
| e3 != op(e3,e2) ),
inference(superposition,[status(thm)],[p14,c62]) ).
cnf(p1957,plain,
( ~ spl56
| ~ spl11
| e3 != e0 ),
inference(superposition,[status(thm)],[p71,p1454]) ).
cnf(p2995,plain,
( ~ spl56
| ~ spl19
| ~ spl16
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p1957,p2056]) ).
cnf(sct211,plain,
( ~ spl56
| ~ spl19
| ~ spl16
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p2995]) ).
fof(sdef125,definition,
( spl125
<=> e2 != op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl125])],[avatar_definition]) ).
cnf(p516,plain,
( ~ spl125
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef125]) ).
cnf(p2702,plain,
( ~ spl125
| ~ spl1
| e2 != op(e1,e1) ),
inference(superposition,[status(thm)],[p2,p516]) ).
cnf(p2998,plain,
( ~ spl125
| ~ spl22
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p2702]) ).
cnf(p3000,plain,
( ~ spl125
| ~ spl22
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2998]) ).
cnf(sct212,plain,
( ~ spl125
| ~ spl22
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3000]) ).
fof(sdef118,definition,
( spl118
<=> e3 != op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(definition,[new_symbols(naming,[spl118])],[avatar_definition]) ).
cnf(p503,plain,
( ~ spl118
| e3 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(avatar_component_clause,[status(thm)],[sdef118]) ).
cnf(p2700,plain,
( ~ spl118
| ~ spl1
| e3 != op(e0,op(e1,e1)) ),
inference(superposition,[status(thm)],[p2,p503]) ).
cnf(p2996,plain,
( ~ spl118
| ~ spl22
| ~ spl1
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p28,p2700]) ).
cnf(p3002,plain,
( ~ spl118
| ~ spl22
| ~ spl11
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p14,p2996]) ).
cnf(p3003,plain,
( ~ spl118
| ~ spl22
| ~ spl11
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3002]) ).
cnf(sct213,plain,
( ~ spl118
| ~ spl22
| ~ spl11
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3003]) ).
cnf(c67,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1848,plain,
( ~ spl44
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p56,c67]) ).
cnf(p1952,plain,
( ~ spl44
| ~ spl14
| e2 != e0 ),
inference(superposition,[status(thm)],[p18,p1848]) ).
cnf(p3015,plain,
( ~ spl50
| ~ spl48
| ~ spl44
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p1858,p1952]) ).
cnf(sct214,plain,
( ~ spl50
| ~ spl48
| ~ spl44
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p3015]) ).
fof(sdef131,definition,
( spl131
<=> e3 != op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl131])],[avatar_definition]) ).
cnf(p528,plain,
( ~ spl131
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef131]) ).
cnf(p2704,plain,
( ~ spl131
| ~ spl1
| e3 != op(e1,e1) ),
inference(superposition,[status(thm)],[p2,p528]) ).
cnf(p3019,plain,
( ~ spl131
| ~ spl23
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p2704]) ).
cnf(p3020,plain,
( ~ spl131
| ~ spl23
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3019]) ).
cnf(sct215,plain,
( ~ spl131
| ~ spl23
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3020]) ).
fof(sdef121,definition,
( spl121
<=> e2 != op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(definition,[new_symbols(naming,[spl121])],[avatar_definition]) ).
cnf(p508,plain,
( ~ spl121
| e2 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(avatar_component_clause,[status(thm)],[sdef121]) ).
cnf(p2701,plain,
( ~ spl121
| ~ spl1
| e2 != op(e0,op(e1,e1)) ),
inference(superposition,[status(thm)],[p2,p508]) ).
cnf(p3018,plain,
( ~ spl121
| ~ spl23
| ~ spl1
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p29,p2701]) ).
cnf(p3023,plain,
( ~ spl121
| ~ spl23
| ~ spl14
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p3018]) ).
cnf(p3024,plain,
( ~ spl121
| ~ spl23
| ~ spl14
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3023]) ).
cnf(sct216,plain,
( ~ spl121
| ~ spl23
| ~ spl14
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3024]) ).
cnf(p2931,plain,
( ~ spl3
| ~ spl2
| e3 = e2 ),
inference(superposition,[status(thm)],[p4,p3]) ).
cnf(c59,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1378,plain,
( ~ spl39
| e3 != op(e3,e1) ),
inference(superposition,[status(thm)],[p49,c59]) ).
cnf(p1516,plain,
( ~ spl54
| ~ spl39
| e3 != e2 ),
inference(superposition,[status(thm)],[p68,p1378]) ).
cnf(p3054,plain,
( ~ spl54
| ~ spl39
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p1516]) ).
cnf(sct217,plain,
( ~ spl54
| ~ spl39
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3054]) ).
cnf(p1993,plain,
( ~ spl107
| ~ spl42
| e3 != e2 ),
inference(superposition,[status(thm)],[p53,p487]) ).
cnf(p3088,plain,
( ~ spl107
| ~ spl42
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p1993]) ).
cnf(sct218,plain,
( ~ spl107
| ~ spl42
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3088]) ).
cnf(p1998,plain,
( ~ spl101
| ~ spl42
| e3 != e2 ),
inference(superposition,[status(thm)],[p53,p478]) ).
cnf(p3089,plain,
( ~ spl101
| ~ spl42
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p1998]) ).
cnf(sct219,plain,
( ~ spl101
| ~ spl42
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3089]) ).
cnf(p2000,plain,
( ~ spl129
| ~ spl42
| e3 != e2 ),
inference(superposition,[status(thm)],[p53,p523]) ).
cnf(p3090,plain,
( ~ spl129
| ~ spl42
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p2000]) ).
cnf(sct220,plain,
( ~ spl129
| ~ spl42
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3090]) ).
cnf(p1887,plain,
( ~ spl50
| op(e1,e0) != e2 ),
inference(superposition,[status(thm)],[p63,c52]) ).
cnf(p2384,plain,
( ~ spl50
| ~ spl19
| e3 != e2 ),
inference(superposition,[status(thm)],[p24,p1887]) ).
cnf(p3109,plain,
( ~ spl50
| ~ spl19
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p2384]) ).
cnf(sct221,plain,
( ~ spl50
| ~ spl19
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3109]) ).
cnf(p1607,plain,
( ~ spl90
| ~ spl43
| e3 != e2 ),
inference(superposition,[status(thm)],[p54,p460]) ).
cnf(p3112,plain,
( ~ spl90
| ~ spl43
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p1607]) ).
cnf(sct222,plain,
( ~ spl90
| ~ spl43
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3112]) ).
cnf(p2388,plain,
( ~ spl109
| ~ spl22
| e3 != e2 ),
inference(superposition,[status(thm)],[p28,p490]) ).
cnf(p3113,plain,
( ~ spl109
| ~ spl22
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p2388]) ).
cnf(sct223,plain,
( ~ spl109
| ~ spl22
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3113]) ).
cnf(c78,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2080,plain,
( ~ spl19
| e3 != op(e1,e1) ),
inference(superposition,[status(thm)],[p24,c78]) ).
cnf(p2425,plain,
( ~ spl22
| ~ spl19
| e3 != e2 ),
inference(superposition,[status(thm)],[p28,p2080]) ).
cnf(p3114,plain,
( ~ spl22
| ~ spl19
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p2425]) ).
cnf(sct224,plain,
( ~ spl22
| ~ spl19
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3114]) ).
cnf(c70,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1462,plain,
( ~ spl31
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p39,c70]) ).
cnf(p2503,plain,
( ~ spl62
| ~ spl31
| e3 != e2 ),
inference(superposition,[status(thm)],[p78,p1462]) ).
cnf(p3123,plain,
( ~ spl62
| ~ spl31
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p2931,p2503]) ).
cnf(sct225,plain,
( ~ spl62
| ~ spl31
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3123]) ).
fof(sdef117,definition,
( spl117
<=> e2 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl117])],[avatar_definition]) ).
cnf(p502,plain,
( ~ spl117
| e2 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef117]) ).
cnf(p3128,plain,
( ~ spl117
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p502]) ).
cnf(p3146,plain,
( ~ spl117
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3128]) ).
cnf(sct226,plain,
( ~ spl117
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3146]) ).
cnf(p1680,plain,
( ~ spl123
| ~ spl20
| e2 != op(e0,e0) ),
inference(superposition,[status(thm)],[p26,p512]) ).
cnf(p3140,plain,
( ~ spl123
| ~ spl20
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p1680]) ).
cnf(p3147,plain,
( ~ spl123
| ~ spl20
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3140]) ).
cnf(sct227,plain,
( ~ spl123
| ~ spl20
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3147]) ).
cnf(p1678,plain,
( ~ spl122
| ~ spl60
| e2 != op(e0,e0) ),
inference(superposition,[status(thm)],[p76,p510]) ).
cnf(p3142,plain,
( ~ spl122
| ~ spl60
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p1678]) ).
cnf(p3148,plain,
( ~ spl122
| ~ spl60
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3142]) ).
cnf(sct228,plain,
( ~ spl122
| ~ spl60
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3148]) ).
cnf(p3025,plain,
( ~ spl125
| ~ spl2
| e2 != op(e2,e2) ),
inference(superposition,[status(thm)],[p3,p516]) ).
cnf(p3157,plain,
( ~ spl125
| ~ spl42
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p53,p3025]) ).
cnf(p3158,plain,
( ~ spl125
| ~ spl42
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3157]) ).
cnf(sct229,plain,
( ~ spl125
| ~ spl42
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3158]) ).
cnf(p1630,plain,
( ~ spl103
| ~ spl60
| e1 != op(e3,op(e0,e0)) ),
inference(superposition,[status(thm)],[p76,p481]) ).
cnf(p3137,plain,
( ~ spl103
| ~ spl60
| ~ spl2
| e1 != op(e3,e2) ),
inference(superposition,[status(thm)],[p3,p1630]) ).
cnf(p3161,plain,
( ~ spl103
| ~ spl60
| ~ spl57
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p3137]) ).
cnf(p3162,plain,
( ~ spl103
| ~ spl60
| ~ spl57
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3161]) ).
cnf(sct230,plain,
( ~ spl103
| ~ spl60
| ~ spl57
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3162]) ).
cnf(p1443,plain,
( ~ spl15
| e3 != op(e2,e3) ),
inference(superposition,[status(thm)],[p19,c67]) ).
cnf(p1856,plain,
( ~ spl44
| ~ spl15
| e3 != e0 ),
inference(superposition,[status(thm)],[p56,p1443]) ).
cnf(p3163,plain,
( ~ spl44
| ~ spl19
| ~ spl16
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p1856,p2056]) ).
cnf(sct231,plain,
( ~ spl44
| ~ spl19
| ~ spl16
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p3163]) ).
cnf(p3156,plain,
( ~ spl78
| ~ spl8
| op(e2,e0) != e0 ),
inference(superposition,[status(thm)],[p11,p309]) ).
cnf(p3165,plain,
( ~ spl78
| ~ spl32
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p3156,p41]) ).
cnf(sct232,plain,
( ~ spl78
| ~ spl32
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p3165]) ).
cnf(p1632,plain,
( ~ spl106
| ~ spl20
| e3 != op(e1,op(e0,e0)) ),
inference(superposition,[status(thm)],[p26,p485]) ).
cnf(p3138,plain,
( ~ spl106
| ~ spl20
| ~ spl2
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p3,p1632]) ).
cnf(p3172,plain,
( ~ spl106
| ~ spl27
| ~ spl20
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p3138]) ).
cnf(p3173,plain,
( ~ spl106
| ~ spl27
| ~ spl20
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3172]) ).
cnf(sct233,plain,
( ~ spl106
| ~ spl27
| ~ spl20
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3173]) ).
cnf(c83,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2420,plain,
( ~ spl28
| op(e1,e2) != e0 ),
inference(superposition,[status(thm)],[p36,c83]) ).
cnf(p2441,plain,
( ~ spl28
| ~ spl26
| e2 != e0 ),
inference(superposition,[status(thm)],[p33,p2420]) ).
cnf(p3208,plain,
( ~ spl50
| ~ spl48
| ~ spl28
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p1858,p2441]) ).
cnf(sct234,plain,
( ~ spl50
| ~ spl48
| ~ spl28
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p3208]) ).
cnf(p3136,plain,
( ~ spl131
| ~ spl2
| e3 != op(e2,e2) ),
inference(superposition,[status(thm)],[p3,p528]) ).
cnf(p3212,plain,
( ~ spl131
| ~ spl43
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p3136]) ).
cnf(p3215,plain,
( ~ spl131
| ~ spl43
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3212]) ).
cnf(sct235,plain,
( ~ spl131
| ~ spl43
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3215]) ).
fof(sdef128,definition,
( spl128
<=> e1 != op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(definition,[new_symbols(naming,[spl128])],[avatar_definition]) ).
cnf(p521,plain,
( ~ spl128
| e1 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(avatar_component_clause,[status(thm)],[sdef128]) ).
cnf(p3135,plain,
( ~ spl128
| ~ spl2
| e1 != op(e0,op(e2,e2)) ),
inference(superposition,[status(thm)],[p3,p521]) ).
cnf(p3214,plain,
( ~ spl128
| ~ spl43
| ~ spl2
| e1 != op(e0,e3) ),
inference(superposition,[status(thm)],[p54,p3135]) ).
cnf(p3217,plain,
( ~ spl128
| ~ spl43
| ~ spl13
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p17,p3214]) ).
cnf(p3218,plain,
( ~ spl128
| ~ spl43
| ~ spl13
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3217]) ).
cnf(sct236,plain,
( ~ spl128
| ~ spl43
| ~ spl13
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3218]) ).
cnf(c86,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1826,plain,
( ~ spl35
| e3 != op(e2,e3) ),
inference(superposition,[status(thm)],[p44,c86]) ).
cnf(p1936,plain,
( ~ spl44
| ~ spl35
| e3 != e0 ),
inference(superposition,[status(thm)],[p56,p1826]) ).
cnf(p3219,plain,
( ~ spl44
| ~ spl35
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1936,p2056]) ).
cnf(sct237,plain,
( ~ spl44
| ~ spl35
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3219]) ).
cnf(p2348,plain,
( ~ spl68
| ~ spl52
| op(e1,e0) != e0 ),
inference(superposition,[status(thm)],[p66,p172]) ).
cnf(p3220,plain,
( ~ spl68
| ~ spl52
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p21,p2348]) ).
cnf(sct238,plain,
( ~ spl68
| ~ spl52
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3220]) ).
cnf(p3132,plain,
( ~ spl116
| ~ spl2
| e1 != op(e2,e2) ),
inference(superposition,[status(thm)],[p3,p501]) ).
cnf(p3222,plain,
( ~ spl116
| ~ spl41
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p3132]) ).
cnf(p3226,plain,
( ~ spl116
| ~ spl41
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3222]) ).
cnf(sct239,plain,
( ~ spl116
| ~ spl41
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3226]) ).
cnf(p3133,plain,
( ~ spl118
| ~ spl2
| e3 != op(e0,op(e2,e2)) ),
inference(superposition,[status(thm)],[p3,p503]) ).
cnf(p3224,plain,
( ~ spl118
| ~ spl41
| ~ spl2
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p52,p3133]) ).
cnf(p3227,plain,
( ~ spl118
| ~ spl41
| ~ spl7
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p9,p3224]) ).
cnf(p3228,plain,
( ~ spl118
| ~ spl41
| ~ spl7
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3227]) ).
cnf(sct240,plain,
( ~ spl118
| ~ spl41
| ~ spl7
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3228]) ).
cnf(p1684,plain,
( ~ spl129
| ~ spl40
| e3 != op(e0,e0) ),
inference(superposition,[status(thm)],[p51,p523]) ).
cnf(p3238,plain,
( ~ spl129
| ~ spl40
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p1684]) ).
cnf(p3241,plain,
( ~ spl129
| ~ spl40
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3238]) ).
cnf(sct241,plain,
( ~ spl129
| ~ spl40
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3241]) ).
cnf(p1685,plain,
( ~ spl130
| ~ spl20
| e3 != op(e0,e0) ),
inference(superposition,[status(thm)],[p26,p525]) ).
cnf(p3239,plain,
( ~ spl130
| ~ spl20
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p1685]) ).
cnf(p3242,plain,
( ~ spl130
| ~ spl20
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3239]) ).
cnf(sct242,plain,
( ~ spl130
| ~ spl20
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3242]) ).
cnf(p2771,plain,
( ~ spl131
| ~ spl3
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p4,p528]) ).
cnf(p3245,plain,
( ~ spl131
| ~ spl63
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p79,p2771]) ).
cnf(p3246,plain,
( ~ spl131
| ~ spl63
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3245]) ).
cnf(sct243,plain,
( ~ spl131
| ~ spl63
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3246]) ).
cnf(p2839,plain,
( ~ spl79
| ~ spl12
| op(e3,e0) != e0 ),
inference(superposition,[status(thm)],[p16,p374]) ).
cnf(p3249,plain,
( ~ spl79
| ~ spl48
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p2839,p61]) ).
cnf(sct244,plain,
( ~ spl79
| ~ spl48
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p3249]) ).
cnf(p1648,plain,
( ~ spl110
| ~ spl20
| e2 != op(e1,op(e0,e0)) ),
inference(superposition,[status(thm)],[p26,p491]) ).
cnf(p3237,plain,
( ~ spl110
| ~ spl20
| ~ spl3
| e2 != op(e1,e3) ),
inference(superposition,[status(thm)],[p4,p1648]) ).
cnf(p3254,plain,
( ~ spl110
| ~ spl30
| ~ spl20
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p38,p3237]) ).
cnf(p3255,plain,
( ~ spl110
| ~ spl30
| ~ spl20
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3254]) ).
cnf(sct245,plain,
( ~ spl110
| ~ spl30
| ~ spl20
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3255]) ).
cnf(c79,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2072,plain,
( ~ spl18
| e2 != op(e1,e2) ),
inference(superposition,[status(thm)],[p23,c79]) ).
cnf(p2148,plain,
( ~ spl24
| ~ spl18
| e2 != e0 ),
inference(superposition,[status(thm)],[p31,p2072]) ).
cnf(p3269,plain,
( ~ spl50
| ~ spl48
| ~ spl24
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p1858,p2148]) ).
cnf(sct246,plain,
( ~ spl50
| ~ spl48
| ~ spl24
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p3269]) ).
cnf(p3306,plain,
( ~ spl24
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2054,p2148]) ).
cnf(sct247,plain,
( ~ spl24
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3306]) ).
cnf(c91,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1890,plain,
( ~ spl50
| e2 != op(e3,e2) ),
inference(superposition,[status(thm)],[p63,c91]) ).
cnf(p1947,plain,
( ~ spl56
| ~ spl50
| e2 != e0 ),
inference(superposition,[status(thm)],[p71,p1890]) ).
cnf(p3328,plain,
( ~ spl56
| ~ spl50
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p2054,p1947]) ).
cnf(sct248,plain,
( ~ spl56
| ~ spl50
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3328]) ).
cnf(p2088,plain,
( ~ spl71
| ~ spl36
| op(e1,e0) != e0 ),
inference(superposition,[status(thm)],[p46,p178]) ).
cnf(p3330,plain,
( ~ spl71
| ~ spl36
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p21,p2088]) ).
cnf(sct249,plain,
( ~ spl71
| ~ spl36
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3330]) ).
cnf(p2766,plain,
( ~ spl116
| ~ spl3
| e1 != op(e3,e3) ),
inference(superposition,[status(thm)],[p4,p501]) ).
cnf(p3333,plain,
( ~ spl116
| ~ spl61
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p2766]) ).
cnf(p3338,plain,
( ~ spl116
| ~ spl61
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3333]) ).
cnf(sct250,plain,
( ~ spl116
| ~ spl61
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3338]) ).
cnf(p2768,plain,
( ~ spl121
| ~ spl3
| e2 != op(e0,op(e3,e3)) ),
inference(superposition,[status(thm)],[p4,p508]) ).
cnf(p3336,plain,
( ~ spl121
| ~ spl61
| ~ spl3
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p77,p2768]) ).
cnf(p3339,plain,
( ~ spl121
| ~ spl61
| ~ spl6
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p3336]) ).
cnf(p3340,plain,
( ~ spl121
| ~ spl61
| ~ spl6
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3339]) ).
cnf(sct251,plain,
( ~ spl121
| ~ spl61
| ~ spl6
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3340]) ).
cnf(p1590,plain,
( ~ spl88
| ~ spl43
| e3 != e0 ),
inference(superposition,[status(thm)],[p54,p456]) ).
cnf(p3341,plain,
( ~ spl88
| ~ spl43
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1590,p2056]) ).
cnf(sct252,plain,
( ~ spl88
| ~ spl43
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3341]) ).
cnf(p2139,plain,
( ~ spl76
| ~ spl29
| op(e3,e1) != e1 ),
inference(superposition,[status(thm)],[p37,p227]) ).
cnf(p3345,plain,
( ~ spl76
| ~ spl53
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p67,p2139]) ).
cnf(sct253,plain,
( ~ spl76
| ~ spl53
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p3345]) ).
cnf(p2326,plain,
( ~ spl73
| ~ spl46
| op(e3,e2) != e2 ),
inference(superposition,[status(thm)],[p58,p188]) ).
cnf(p3348,plain,
( ~ spl73
| ~ spl58
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p73,p2326]) ).
cnf(sct254,plain,
( ~ spl73
| ~ spl58
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p3348]) ).
cnf(c85,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1517,plain,
( ~ spl34
| e2 != op(e2,e2) ),
inference(superposition,[status(thm)],[p43,c85]) ).
cnf(p1557,plain,
( ~ spl40
| ~ spl34
| e2 != e0 ),
inference(superposition,[status(thm)],[p51,p1517]) ).
cnf(p3349,plain,
( ~ spl40
| ~ spl34
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1557,p2054]) ).
cnf(sct255,plain,
( ~ spl40
| ~ spl34
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3349]) ).
cnf(p1640,plain,
( ~ spl108
| ~ spl40
| e1 != op(e2,op(e0,e0)) ),
inference(superposition,[status(thm)],[p51,p488]) ).
cnf(p3236,plain,
( ~ spl108
| ~ spl40
| ~ spl3
| e1 != op(e2,e3) ),
inference(superposition,[status(thm)],[p4,p1640]) ).
cnf(p3352,plain,
( ~ spl108
| ~ spl45
| ~ spl40
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p57,p3236]) ).
cnf(p3353,plain,
( ~ spl108
| ~ spl45
| ~ spl40
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3352]) ).
cnf(sct256,plain,
( ~ spl108
| ~ spl45
| ~ spl40
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3353]) ).
cnf(p2769,plain,
( ~ spl125
| ~ spl3
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p4,p516]) ).
cnf(p3355,plain,
( ~ spl125
| ~ spl62
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p2769]) ).
cnf(p3359,plain,
( ~ spl125
| ~ spl62
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3355]) ).
cnf(sct257,plain,
( ~ spl125
| ~ spl62
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3359]) ).
cnf(p2770,plain,
( ~ spl128
| ~ spl3
| e1 != op(e0,op(e3,e3)) ),
inference(superposition,[status(thm)],[p4,p521]) ).
cnf(p3358,plain,
( ~ spl128
| ~ spl62
| ~ spl3
| e1 != op(e0,e2) ),
inference(superposition,[status(thm)],[p78,p2770]) ).
cnf(p3361,plain,
( ~ spl128
| ~ spl62
| ~ spl9
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p12,p3358]) ).
cnf(p3362,plain,
( ~ spl128
| ~ spl62
| ~ spl9
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3361]) ).
cnf(sct258,plain,
( ~ spl128
| ~ spl62
| ~ spl9
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3362]) ).
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(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,op(e3,e3)) != op(e3,e3)
& op(e2,op(e3,e2)) != op(e3,e2)
& op(e1,op(e3,e1)) != op(e3,e1)
& op(e0,op(e3,e0)) != op(e3,e0) )
| ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(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(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,op(e3,e3)) != op(e3,e3)
& op(e2,op(e3,e2)) != op(e3,e2)
& op(e1,op(e3,e1)) != op(e3,e1)
& op(e0,op(e3,e0)) != op(e3,e0) )
| ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(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(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,op(e3,e3)) != op(e3,e3)
& op(e2,op(e3,e2)) != op(e3,e2)
& op(e1,op(e3,e1)) != op(e3,e1)
& op(e0,op(e3,e0)) != op(e3,e0) )
| ( op(e3,op(e2,e3)) != op(e2,e3)
& op(e2,op(e2,e2)) != op(e2,e2)
& op(e1,op(e2,e1)) != op(e2,e1)
& op(e0,op(e2,e0)) != op(e2,e0) )
| ( op(e3,op(e1,e3)) != op(e1,e3)
& op(e2,op(e1,e2)) != op(e1,e2)
& op(e1,op(e1,e1)) != op(e1,e1)
& op(e0,op(e1,e0)) != op(e1,e0) )
| ( op(e3,op(e0,e3)) != op(e0,e3)
& op(e2,op(e0,e2)) != op(e0,e2)
& op(e1,op(e0,e1)) != op(e0,e1)
& op(e0,op(e0,e0)) != op(e0,e0) ) ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c102,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp48,plain,
( spl67
| spl66
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef64,sdef65,sdef66,sdef67]) ).
cnf(c103,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp49,plain,
( spl68
| spl66
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef64,sdef65,sdef66,sdef68]) ).
cnf(c104,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp50,plain,
( spl69
| spl66
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef64,sdef65,sdef66,sdef69]) ).
cnf(c105,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp51,plain,
( spl70
| spl66
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c105,sdef64,sdef65,sdef66,sdef70]) ).
cnf(c106,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp52,plain,
( spl71
| spl67
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c106,sdef64,sdef65,sdef67,sdef71]) ).
cnf(c107,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp53,plain,
( spl71
| spl68
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c107,sdef64,sdef65,sdef68,sdef71]) ).
cnf(c108,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp54,plain,
( spl71
| spl69
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c108,sdef64,sdef65,sdef69,sdef71]) ).
cnf(c109,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp55,plain,
( spl71
| spl70
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c109,sdef64,sdef65,sdef70,sdef71]) ).
cnf(c110,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp56,plain,
( spl72
| spl67
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c110,sdef64,sdef65,sdef67,sdef72]) ).
cnf(c111,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp57,plain,
( spl72
| spl68
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c111,sdef64,sdef65,sdef68,sdef72]) ).
cnf(c112,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp58,plain,
( spl72
| spl69
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c112,sdef64,sdef65,sdef69,sdef72]) ).
cnf(c113,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp59,plain,
( spl72
| spl70
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c113,sdef64,sdef65,sdef70,sdef72]) ).
cnf(c114,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp60,plain,
( spl73
| spl67
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c114,sdef64,sdef65,sdef67,sdef73]) ).
cnf(c115,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp61,plain,
( spl73
| spl68
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c115,sdef64,sdef65,sdef68,sdef73]) ).
cnf(c116,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp62,plain,
( spl73
| spl69
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c116,sdef64,sdef65,sdef69,sdef73]) ).
cnf(c117,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp63,plain,
( spl73
| spl70
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c117,sdef64,sdef65,sdef70,sdef73]) ).
cnf(c118,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp64,plain,
( spl74
| spl67
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c118,sdef64,sdef66,sdef67,sdef74]) ).
cnf(c119,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp65,plain,
( spl74
| spl68
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c119,sdef64,sdef66,sdef68,sdef74]) ).
cnf(c120,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp66,plain,
( spl74
| spl69
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c120,sdef64,sdef66,sdef69,sdef74]) ).
cnf(c121,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp67,plain,
( spl74
| spl70
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c121,sdef64,sdef66,sdef70,sdef74]) ).
cnf(c122,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp68,plain,
( spl74
| spl71
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c122,sdef64,sdef67,sdef71,sdef74]) ).
cnf(c123,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp69,plain,
( spl74
| spl71
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c123,sdef64,sdef68,sdef71,sdef74]) ).
cnf(c124,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp70,plain,
( spl74
| spl71
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c124,sdef64,sdef69,sdef71,sdef74]) ).
cnf(c125,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp71,plain,
( spl74
| spl71
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c125,sdef64,sdef70,sdef71,sdef74]) ).
cnf(c126,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp72,plain,
( spl74
| spl72
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c126,sdef64,sdef67,sdef72,sdef74]) ).
cnf(c127,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp73,plain,
( spl74
| spl72
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c127,sdef64,sdef68,sdef72,sdef74]) ).
cnf(c128,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp74,plain,
( spl74
| spl72
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c128,sdef64,sdef69,sdef72,sdef74]) ).
cnf(c129,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp75,plain,
( spl74
| spl72
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c129,sdef64,sdef70,sdef72,sdef74]) ).
cnf(c130,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp76,plain,
( spl74
| spl73
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c130,sdef64,sdef67,sdef73,sdef74]) ).
cnf(c131,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp77,plain,
( spl74
| spl73
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c131,sdef64,sdef68,sdef73,sdef74]) ).
cnf(c132,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp78,plain,
( spl74
| spl73
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c132,sdef64,sdef69,sdef73,sdef74]) ).
cnf(c133,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp79,plain,
( spl74
| spl73
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c133,sdef64,sdef70,sdef73,sdef74]) ).
cnf(c134,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp80,plain,
( spl75
| spl67
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c134,sdef64,sdef66,sdef67,sdef75]) ).
cnf(c135,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp81,plain,
( spl75
| spl68
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c135,sdef64,sdef66,sdef68,sdef75]) ).
cnf(c136,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp82,plain,
( spl75
| spl69
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c136,sdef64,sdef66,sdef69,sdef75]) ).
cnf(c137,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp83,plain,
( spl75
| spl70
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c137,sdef64,sdef66,sdef70,sdef75]) ).
cnf(c138,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp84,plain,
( spl75
| spl71
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c138,sdef64,sdef67,sdef71,sdef75]) ).
cnf(c139,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp85,plain,
( spl75
| spl71
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c139,sdef64,sdef68,sdef71,sdef75]) ).
cnf(c140,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp86,plain,
( spl75
| spl71
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c140,sdef64,sdef69,sdef71,sdef75]) ).
cnf(c141,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp87,plain,
( spl75
| spl71
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c141,sdef64,sdef70,sdef71,sdef75]) ).
cnf(c142,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp88,plain,
( spl75
| spl72
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c142,sdef64,sdef67,sdef72,sdef75]) ).
cnf(c143,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp89,plain,
( spl75
| spl72
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c143,sdef64,sdef68,sdef72,sdef75]) ).
cnf(c144,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp90,plain,
( spl75
| spl72
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c144,sdef64,sdef69,sdef72,sdef75]) ).
cnf(c145,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp91,plain,
( spl75
| spl72
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c145,sdef64,sdef70,sdef72,sdef75]) ).
cnf(c146,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp92,plain,
( spl75
| spl73
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c146,sdef64,sdef67,sdef73,sdef75]) ).
cnf(c147,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp93,plain,
( spl75
| spl73
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c147,sdef64,sdef68,sdef73,sdef75]) ).
cnf(c148,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp94,plain,
( spl75
| spl73
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c148,sdef64,sdef69,sdef73,sdef75]) ).
cnf(c149,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp95,plain,
( spl75
| spl73
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c149,sdef64,sdef70,sdef73,sdef75]) ).
cnf(c150,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp96,plain,
( spl76
| spl67
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c150,sdef64,sdef66,sdef67,sdef76]) ).
cnf(c151,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp97,plain,
( spl76
| spl68
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c151,sdef64,sdef66,sdef68,sdef76]) ).
cnf(c152,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp98,plain,
( spl76
| spl69
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c152,sdef64,sdef66,sdef69,sdef76]) ).
cnf(c153,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp99,plain,
( spl76
| spl70
| spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c153,sdef64,sdef66,sdef70,sdef76]) ).
cnf(c154,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp100,plain,
( spl76
| spl71
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c154,sdef64,sdef67,sdef71,sdef76]) ).
cnf(c155,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp101,plain,
( spl76
| spl71
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c155,sdef64,sdef68,sdef71,sdef76]) ).
cnf(c156,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp102,plain,
( spl76
| spl71
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c156,sdef64,sdef69,sdef71,sdef76]) ).
cnf(c157,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp103,plain,
( spl76
| spl71
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c157,sdef64,sdef70,sdef71,sdef76]) ).
cnf(c158,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp104,plain,
( spl76
| spl72
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c158,sdef64,sdef67,sdef72,sdef76]) ).
cnf(c159,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp105,plain,
( spl76
| spl72
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c159,sdef64,sdef68,sdef72,sdef76]) ).
cnf(c160,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp106,plain,
( spl76
| spl72
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c160,sdef64,sdef69,sdef72,sdef76]) ).
cnf(c161,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp107,plain,
( spl76
| spl72
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c161,sdef64,sdef70,sdef72,sdef76]) ).
cnf(c162,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp108,plain,
( spl76
| spl73
| spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c162,sdef64,sdef67,sdef73,sdef76]) ).
cnf(c163,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp109,plain,
( spl76
| spl73
| spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c163,sdef64,sdef68,sdef73,sdef76]) ).
cnf(c164,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp110,plain,
( spl76
| spl73
| spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c164,sdef64,sdef69,sdef73,sdef76]) ).
cnf(c165,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e0,op(e0,e0)) != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp111,plain,
( spl76
| spl73
| spl70
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c165,sdef64,sdef70,sdef73,sdef76]) ).
cnf(c166,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp112,plain,
( spl77
| spl67
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c166,sdef65,sdef66,sdef67,sdef77]) ).
cnf(c167,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp113,plain,
( spl77
| spl68
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c167,sdef65,sdef66,sdef68,sdef77]) ).
cnf(c168,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp114,plain,
( spl77
| spl69
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c168,sdef65,sdef66,sdef69,sdef77]) ).
cnf(c169,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp115,plain,
( spl77
| spl70
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c169,sdef65,sdef66,sdef70,sdef77]) ).
cnf(c170,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp116,plain,
( spl77
| spl71
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c170,sdef65,sdef67,sdef71,sdef77]) ).
cnf(c171,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp117,plain,
( spl77
| spl71
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c171,sdef65,sdef68,sdef71,sdef77]) ).
cnf(c172,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp118,plain,
( spl77
| spl71
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c172,sdef65,sdef69,sdef71,sdef77]) ).
cnf(c173,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp119,plain,
( spl77
| spl71
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c173,sdef65,sdef70,sdef71,sdef77]) ).
cnf(c174,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp120,plain,
( spl77
| spl72
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c174,sdef65,sdef67,sdef72,sdef77]) ).
cnf(c175,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp121,plain,
( spl77
| spl72
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c175,sdef65,sdef68,sdef72,sdef77]) ).
cnf(c176,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp122,plain,
( spl77
| spl72
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c176,sdef65,sdef69,sdef72,sdef77]) ).
cnf(c177,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp123,plain,
( spl77
| spl72
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c177,sdef65,sdef70,sdef72,sdef77]) ).
cnf(c178,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp124,plain,
( spl77
| spl73
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c178,sdef65,sdef67,sdef73,sdef77]) ).
cnf(c179,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp125,plain,
( spl77
| spl73
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c179,sdef65,sdef68,sdef73,sdef77]) ).
cnf(c180,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp126,plain,
( spl77
| spl73
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c180,sdef65,sdef69,sdef73,sdef77]) ).
cnf(c181,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp127,plain,
( spl77
| spl73
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c181,sdef65,sdef70,sdef73,sdef77]) ).
cnf(c182,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp128,plain,
( spl77
| spl74
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef66,sdef67,sdef74,sdef77]) ).
cnf(c183,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp129,plain,
( spl77
| spl74
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef66,sdef68,sdef74,sdef77]) ).
cnf(c184,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp130,plain,
( spl77
| spl74
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef66,sdef69,sdef74,sdef77]) ).
cnf(c185,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp131,plain,
( spl77
| spl74
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef66,sdef70,sdef74,sdef77]) ).
cnf(c186,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp132,plain,
( spl77
| spl74
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c186,sdef67,sdef71,sdef74,sdef77]) ).
cnf(c187,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp133,plain,
( spl77
| spl74
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c187,sdef68,sdef71,sdef74,sdef77]) ).
cnf(c188,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp134,plain,
( spl77
| spl74
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c188,sdef69,sdef71,sdef74,sdef77]) ).
cnf(c189,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp135,plain,
( spl77
| spl74
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c189,sdef70,sdef71,sdef74,sdef77]) ).
cnf(c190,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp136,plain,
( spl77
| spl74
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c190,sdef67,sdef72,sdef74,sdef77]) ).
cnf(c191,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp137,plain,
( spl77
| spl74
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c191,sdef68,sdef72,sdef74,sdef77]) ).
cnf(c192,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp138,plain,
( spl77
| spl74
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c192,sdef69,sdef72,sdef74,sdef77]) ).
cnf(c193,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp139,plain,
( spl77
| spl74
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c193,sdef70,sdef72,sdef74,sdef77]) ).
cnf(c194,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp140,plain,
( spl77
| spl74
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c194,sdef67,sdef73,sdef74,sdef77]) ).
cnf(c195,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp141,plain,
( spl77
| spl74
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c195,sdef68,sdef73,sdef74,sdef77]) ).
cnf(c196,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp142,plain,
( spl77
| spl74
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c196,sdef69,sdef73,sdef74,sdef77]) ).
cnf(c197,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp143,plain,
( spl77
| spl74
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c197,sdef70,sdef73,sdef74,sdef77]) ).
cnf(c198,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp144,plain,
( spl77
| spl75
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c198,sdef66,sdef67,sdef75,sdef77]) ).
cnf(c199,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp145,plain,
( spl77
| spl75
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c199,sdef66,sdef68,sdef75,sdef77]) ).
cnf(c200,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp146,plain,
( spl77
| spl75
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c200,sdef66,sdef69,sdef75,sdef77]) ).
cnf(c201,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp147,plain,
( spl77
| spl75
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c201,sdef66,sdef70,sdef75,sdef77]) ).
cnf(c202,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp148,plain,
( spl77
| spl75
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c202,sdef67,sdef71,sdef75,sdef77]) ).
cnf(c203,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp149,plain,
( spl77
| spl75
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c203,sdef68,sdef71,sdef75,sdef77]) ).
cnf(c204,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp150,plain,
( spl77
| spl75
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c204,sdef69,sdef71,sdef75,sdef77]) ).
cnf(c205,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp151,plain,
( spl77
| spl75
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c205,sdef70,sdef71,sdef75,sdef77]) ).
cnf(c206,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp152,plain,
( spl77
| spl75
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c206,sdef67,sdef72,sdef75,sdef77]) ).
cnf(c207,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp153,plain,
( spl77
| spl75
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c207,sdef68,sdef72,sdef75,sdef77]) ).
cnf(c208,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp154,plain,
( spl77
| spl75
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c208,sdef69,sdef72,sdef75,sdef77]) ).
cnf(c209,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp155,plain,
( spl77
| spl75
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c209,sdef70,sdef72,sdef75,sdef77]) ).
cnf(c210,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp156,plain,
( spl77
| spl75
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c210,sdef67,sdef73,sdef75,sdef77]) ).
cnf(c211,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp157,plain,
( spl77
| spl75
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c211,sdef68,sdef73,sdef75,sdef77]) ).
cnf(c212,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp158,plain,
( spl77
| spl75
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c212,sdef69,sdef73,sdef75,sdef77]) ).
cnf(c213,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp159,plain,
( spl77
| spl75
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c213,sdef70,sdef73,sdef75,sdef77]) ).
cnf(c214,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp160,plain,
( spl77
| spl76
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c214,sdef66,sdef67,sdef76,sdef77]) ).
cnf(c215,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp161,plain,
( spl77
| spl76
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c215,sdef66,sdef68,sdef76,sdef77]) ).
cnf(c216,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp162,plain,
( spl77
| spl76
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c216,sdef66,sdef69,sdef76,sdef77]) ).
cnf(c217,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp163,plain,
( spl77
| spl76
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c217,sdef66,sdef70,sdef76,sdef77]) ).
cnf(c218,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp164,plain,
( spl77
| spl76
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c218,sdef67,sdef71,sdef76,sdef77]) ).
cnf(c219,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp165,plain,
( spl77
| spl76
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c219,sdef68,sdef71,sdef76,sdef77]) ).
cnf(c220,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp166,plain,
( spl77
| spl76
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c220,sdef69,sdef71,sdef76,sdef77]) ).
cnf(c221,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp167,plain,
( spl77
| spl76
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c221,sdef70,sdef71,sdef76,sdef77]) ).
cnf(c222,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp168,plain,
( spl77
| spl76
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c222,sdef67,sdef72,sdef76,sdef77]) ).
cnf(c223,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp169,plain,
( spl77
| spl76
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c223,sdef68,sdef72,sdef76,sdef77]) ).
cnf(c224,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp170,plain,
( spl77
| spl76
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c224,sdef69,sdef72,sdef76,sdef77]) ).
cnf(c225,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp171,plain,
( spl77
| spl76
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c225,sdef70,sdef72,sdef76,sdef77]) ).
cnf(c226,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp172,plain,
( spl77
| spl76
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c226,sdef67,sdef73,sdef76,sdef77]) ).
cnf(c227,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp173,plain,
( spl77
| spl76
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c227,sdef68,sdef73,sdef76,sdef77]) ).
cnf(c228,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp174,plain,
( spl77
| spl76
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c228,sdef69,sdef73,sdef76,sdef77]) ).
cnf(c229,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e1,op(e0,e1)) != op(e0,e1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp175,plain,
( spl77
| spl76
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c229,sdef70,sdef73,sdef76,sdef77]) ).
cnf(c230,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp176,plain,
( spl78
| spl67
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c230,sdef65,sdef66,sdef67,sdef78]) ).
cnf(c231,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp177,plain,
( spl78
| spl68
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c231,sdef65,sdef66,sdef68,sdef78]) ).
cnf(c232,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp178,plain,
( spl78
| spl69
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c232,sdef65,sdef66,sdef69,sdef78]) ).
cnf(c233,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp179,plain,
( spl78
| spl70
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c233,sdef65,sdef66,sdef70,sdef78]) ).
cnf(c234,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp180,plain,
( spl78
| spl71
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c234,sdef65,sdef67,sdef71,sdef78]) ).
cnf(c235,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp181,plain,
( spl78
| spl71
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c235,sdef65,sdef68,sdef71,sdef78]) ).
cnf(c236,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp182,plain,
( spl78
| spl71
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c236,sdef65,sdef69,sdef71,sdef78]) ).
cnf(c237,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp183,plain,
( spl78
| spl71
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c237,sdef65,sdef70,sdef71,sdef78]) ).
cnf(c238,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp184,plain,
( spl78
| spl72
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c238,sdef65,sdef67,sdef72,sdef78]) ).
cnf(c239,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp185,plain,
( spl78
| spl72
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c239,sdef65,sdef68,sdef72,sdef78]) ).
cnf(c240,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp186,plain,
( spl78
| spl72
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c240,sdef65,sdef69,sdef72,sdef78]) ).
cnf(c241,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp187,plain,
( spl78
| spl72
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c241,sdef65,sdef70,sdef72,sdef78]) ).
cnf(c242,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp188,plain,
( spl78
| spl73
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c242,sdef65,sdef67,sdef73,sdef78]) ).
cnf(c243,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp189,plain,
( spl78
| spl73
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c243,sdef65,sdef68,sdef73,sdef78]) ).
cnf(c244,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp190,plain,
( spl78
| spl73
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c244,sdef65,sdef69,sdef73,sdef78]) ).
cnf(c245,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp191,plain,
( spl78
| spl73
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c245,sdef65,sdef70,sdef73,sdef78]) ).
cnf(c246,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp192,plain,
( spl78
| spl74
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c246,sdef66,sdef67,sdef74,sdef78]) ).
cnf(c247,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp193,plain,
( spl78
| spl74
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c247,sdef66,sdef68,sdef74,sdef78]) ).
cnf(c248,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp194,plain,
( spl78
| spl74
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c248,sdef66,sdef69,sdef74,sdef78]) ).
cnf(c249,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp195,plain,
( spl78
| spl74
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c249,sdef66,sdef70,sdef74,sdef78]) ).
cnf(c250,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp196,plain,
( spl78
| spl74
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c250,sdef67,sdef71,sdef74,sdef78]) ).
cnf(c251,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp197,plain,
( spl78
| spl74
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c251,sdef68,sdef71,sdef74,sdef78]) ).
cnf(c252,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp198,plain,
( spl78
| spl74
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c252,sdef69,sdef71,sdef74,sdef78]) ).
cnf(c253,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp199,plain,
( spl78
| spl74
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c253,sdef70,sdef71,sdef74,sdef78]) ).
cnf(c254,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp200,plain,
( spl78
| spl74
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c254,sdef67,sdef72,sdef74,sdef78]) ).
cnf(c255,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp201,plain,
( spl78
| spl74
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c255,sdef68,sdef72,sdef74,sdef78]) ).
cnf(c256,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp202,plain,
( spl78
| spl74
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c256,sdef69,sdef72,sdef74,sdef78]) ).
cnf(c257,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp203,plain,
( spl78
| spl74
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c257,sdef70,sdef72,sdef74,sdef78]) ).
cnf(c258,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp204,plain,
( spl78
| spl74
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c258,sdef67,sdef73,sdef74,sdef78]) ).
cnf(c259,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp205,plain,
( spl78
| spl74
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c259,sdef68,sdef73,sdef74,sdef78]) ).
cnf(c260,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp206,plain,
( spl78
| spl74
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c260,sdef69,sdef73,sdef74,sdef78]) ).
cnf(c261,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp207,plain,
( spl78
| spl74
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c261,sdef70,sdef73,sdef74,sdef78]) ).
cnf(c262,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp208,plain,
( spl78
| spl75
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c262,sdef66,sdef67,sdef75,sdef78]) ).
cnf(c263,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp209,plain,
( spl78
| spl75
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c263,sdef66,sdef68,sdef75,sdef78]) ).
cnf(c264,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp210,plain,
( spl78
| spl75
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c264,sdef66,sdef69,sdef75,sdef78]) ).
cnf(c265,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp211,plain,
( spl78
| spl75
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c265,sdef66,sdef70,sdef75,sdef78]) ).
cnf(c266,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp212,plain,
( spl78
| spl75
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c266,sdef67,sdef71,sdef75,sdef78]) ).
cnf(c267,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp213,plain,
( spl78
| spl75
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c267,sdef68,sdef71,sdef75,sdef78]) ).
cnf(c268,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp214,plain,
( spl78
| spl75
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c268,sdef69,sdef71,sdef75,sdef78]) ).
cnf(c269,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp215,plain,
( spl78
| spl75
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c269,sdef70,sdef71,sdef75,sdef78]) ).
cnf(c270,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp216,plain,
( spl78
| spl75
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c270,sdef67,sdef72,sdef75,sdef78]) ).
cnf(c271,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp217,plain,
( spl78
| spl75
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c271,sdef68,sdef72,sdef75,sdef78]) ).
cnf(c272,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp218,plain,
( spl78
| spl75
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c272,sdef69,sdef72,sdef75,sdef78]) ).
cnf(c273,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp219,plain,
( spl78
| spl75
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c273,sdef70,sdef72,sdef75,sdef78]) ).
cnf(c274,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp220,plain,
( spl78
| spl75
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c274,sdef67,sdef73,sdef75,sdef78]) ).
cnf(c275,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp221,plain,
( spl78
| spl75
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c275,sdef68,sdef73,sdef75,sdef78]) ).
cnf(c276,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp222,plain,
( spl78
| spl75
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c276,sdef69,sdef73,sdef75,sdef78]) ).
cnf(c277,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp223,plain,
( spl78
| spl75
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c277,sdef70,sdef73,sdef75,sdef78]) ).
cnf(c278,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp224,plain,
( spl78
| spl76
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c278,sdef66,sdef67,sdef76,sdef78]) ).
cnf(c279,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp225,plain,
( spl78
| spl76
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c279,sdef66,sdef68,sdef76,sdef78]) ).
cnf(c280,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp226,plain,
( spl78
| spl76
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c280,sdef66,sdef69,sdef76,sdef78]) ).
cnf(c281,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp227,plain,
( spl78
| spl76
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c281,sdef66,sdef70,sdef76,sdef78]) ).
cnf(c282,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp228,plain,
( spl78
| spl76
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c282,sdef67,sdef71,sdef76,sdef78]) ).
cnf(c283,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp229,plain,
( spl78
| spl76
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c283,sdef68,sdef71,sdef76,sdef78]) ).
cnf(c284,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp230,plain,
( spl78
| spl76
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c284,sdef69,sdef71,sdef76,sdef78]) ).
cnf(c285,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp231,plain,
( spl78
| spl76
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c285,sdef70,sdef71,sdef76,sdef78]) ).
cnf(c286,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp232,plain,
( spl78
| spl76
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c286,sdef67,sdef72,sdef76,sdef78]) ).
cnf(c287,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp233,plain,
( spl78
| spl76
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c287,sdef68,sdef72,sdef76,sdef78]) ).
cnf(c288,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp234,plain,
( spl78
| spl76
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c288,sdef69,sdef72,sdef76,sdef78]) ).
cnf(c289,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp235,plain,
( spl78
| spl76
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c289,sdef70,sdef72,sdef76,sdef78]) ).
cnf(c290,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp236,plain,
( spl78
| spl76
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c290,sdef67,sdef73,sdef76,sdef78]) ).
cnf(c291,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp237,plain,
( spl78
| spl76
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c291,sdef68,sdef73,sdef76,sdef78]) ).
cnf(c292,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp238,plain,
( spl78
| spl76
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c292,sdef69,sdef73,sdef76,sdef78]) ).
cnf(c293,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e2,op(e0,e2)) != op(e0,e2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp239,plain,
( spl78
| spl76
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c293,sdef70,sdef73,sdef76,sdef78]) ).
cnf(c294,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp240,plain,
( spl79
| spl67
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c294,sdef65,sdef66,sdef67,sdef79]) ).
cnf(c295,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp241,plain,
( spl79
| spl68
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c295,sdef65,sdef66,sdef68,sdef79]) ).
cnf(c296,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp242,plain,
( spl79
| spl69
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c296,sdef65,sdef66,sdef69,sdef79]) ).
cnf(c297,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp243,plain,
( spl79
| spl70
| spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c297,sdef65,sdef66,sdef70,sdef79]) ).
cnf(c298,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp244,plain,
( spl79
| spl71
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c298,sdef65,sdef67,sdef71,sdef79]) ).
cnf(c299,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp245,plain,
( spl79
| spl71
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c299,sdef65,sdef68,sdef71,sdef79]) ).
cnf(c300,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp246,plain,
( spl79
| spl71
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c300,sdef65,sdef69,sdef71,sdef79]) ).
cnf(c301,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp247,plain,
( spl79
| spl71
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c301,sdef65,sdef70,sdef71,sdef79]) ).
cnf(c302,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp248,plain,
( spl79
| spl72
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c302,sdef65,sdef67,sdef72,sdef79]) ).
cnf(c303,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp249,plain,
( spl79
| spl72
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c303,sdef65,sdef68,sdef72,sdef79]) ).
cnf(c304,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp250,plain,
( spl79
| spl72
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c304,sdef65,sdef69,sdef72,sdef79]) ).
cnf(c305,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp251,plain,
( spl79
| spl72
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c305,sdef65,sdef70,sdef72,sdef79]) ).
cnf(c306,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp252,plain,
( spl79
| spl73
| spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c306,sdef65,sdef67,sdef73,sdef79]) ).
cnf(c307,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp253,plain,
( spl79
| spl73
| spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c307,sdef65,sdef68,sdef73,sdef79]) ).
cnf(c308,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp254,plain,
( spl79
| spl73
| spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c308,sdef65,sdef69,sdef73,sdef79]) ).
cnf(c309,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp255,plain,
( spl79
| spl73
| spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c309,sdef65,sdef70,sdef73,sdef79]) ).
cnf(c310,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp256,plain,
( spl79
| spl74
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c310,sdef66,sdef67,sdef74,sdef79]) ).
cnf(c311,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp257,plain,
( spl79
| spl74
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c311,sdef66,sdef68,sdef74,sdef79]) ).
cnf(c312,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp258,plain,
( spl79
| spl74
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c312,sdef66,sdef69,sdef74,sdef79]) ).
cnf(c313,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp259,plain,
( spl79
| spl74
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c313,sdef66,sdef70,sdef74,sdef79]) ).
cnf(c314,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp260,plain,
( spl79
| spl74
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c314,sdef67,sdef71,sdef74,sdef79]) ).
cnf(c315,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp261,plain,
( spl79
| spl74
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c315,sdef68,sdef71,sdef74,sdef79]) ).
cnf(c316,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp262,plain,
( spl79
| spl74
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c316,sdef69,sdef71,sdef74,sdef79]) ).
cnf(c317,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp263,plain,
( spl79
| spl74
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c317,sdef70,sdef71,sdef74,sdef79]) ).
cnf(c318,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp264,plain,
( spl79
| spl74
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c318,sdef67,sdef72,sdef74,sdef79]) ).
cnf(c319,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp265,plain,
( spl79
| spl74
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c319,sdef68,sdef72,sdef74,sdef79]) ).
cnf(c320,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp266,plain,
( spl79
| spl74
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c320,sdef69,sdef72,sdef74,sdef79]) ).
cnf(c321,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp267,plain,
( spl79
| spl74
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c321,sdef70,sdef72,sdef74,sdef79]) ).
cnf(c322,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp268,plain,
( spl79
| spl74
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c322,sdef67,sdef73,sdef74,sdef79]) ).
cnf(c323,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp269,plain,
( spl79
| spl74
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c323,sdef68,sdef73,sdef74,sdef79]) ).
cnf(c324,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp270,plain,
( spl79
| spl74
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c324,sdef69,sdef73,sdef74,sdef79]) ).
cnf(c325,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp271,plain,
( spl79
| spl74
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c325,sdef70,sdef73,sdef74,sdef79]) ).
cnf(c326,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp272,plain,
( spl79
| spl75
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c326,sdef66,sdef67,sdef75,sdef79]) ).
cnf(c327,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp273,plain,
( spl79
| spl75
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c327,sdef66,sdef68,sdef75,sdef79]) ).
cnf(c328,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp274,plain,
( spl79
| spl75
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c328,sdef66,sdef69,sdef75,sdef79]) ).
cnf(c329,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp275,plain,
( spl79
| spl75
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c329,sdef66,sdef70,sdef75,sdef79]) ).
cnf(c330,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp276,plain,
( spl79
| spl75
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c330,sdef67,sdef71,sdef75,sdef79]) ).
cnf(c331,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp277,plain,
( spl79
| spl75
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c331,sdef68,sdef71,sdef75,sdef79]) ).
cnf(c332,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp278,plain,
( spl79
| spl75
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c332,sdef69,sdef71,sdef75,sdef79]) ).
cnf(c333,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp279,plain,
( spl79
| spl75
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c333,sdef70,sdef71,sdef75,sdef79]) ).
cnf(c334,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp280,plain,
( spl79
| spl75
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c334,sdef67,sdef72,sdef75,sdef79]) ).
cnf(c335,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp281,plain,
( spl79
| spl75
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c335,sdef68,sdef72,sdef75,sdef79]) ).
cnf(c336,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp282,plain,
( spl79
| spl75
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c336,sdef69,sdef72,sdef75,sdef79]) ).
cnf(c337,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp283,plain,
( spl79
| spl75
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c337,sdef70,sdef72,sdef75,sdef79]) ).
cnf(c338,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp284,plain,
( spl79
| spl75
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c338,sdef67,sdef73,sdef75,sdef79]) ).
cnf(c339,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp285,plain,
( spl79
| spl75
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c339,sdef68,sdef73,sdef75,sdef79]) ).
cnf(c340,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp286,plain,
( spl79
| spl75
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c340,sdef69,sdef73,sdef75,sdef79]) ).
cnf(c341,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp287,plain,
( spl79
| spl75
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c341,sdef70,sdef73,sdef75,sdef79]) ).
cnf(c342,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp288,plain,
( spl79
| spl76
| spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c342,sdef66,sdef67,sdef76,sdef79]) ).
cnf(c343,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp289,plain,
( spl79
| spl76
| spl68
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c343,sdef66,sdef68,sdef76,sdef79]) ).
cnf(c344,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp290,plain,
( spl79
| spl76
| spl69
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c344,sdef66,sdef69,sdef76,sdef79]) ).
cnf(c345,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp291,plain,
( spl79
| spl76
| spl70
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c345,sdef66,sdef70,sdef76,sdef79]) ).
cnf(c346,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp292,plain,
( spl79
| spl76
| spl71
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c346,sdef67,sdef71,sdef76,sdef79]) ).
cnf(c347,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp293,plain,
( spl79
| spl76
| spl71
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c347,sdef68,sdef71,sdef76,sdef79]) ).
cnf(c348,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp294,plain,
( spl79
| spl76
| spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c348,sdef69,sdef71,sdef76,sdef79]) ).
cnf(c349,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp295,plain,
( spl79
| spl76
| spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c349,sdef70,sdef71,sdef76,sdef79]) ).
cnf(c350,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp296,plain,
( spl79
| spl76
| spl72
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c350,sdef67,sdef72,sdef76,sdef79]) ).
cnf(c351,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp297,plain,
( spl79
| spl76
| spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c351,sdef68,sdef72,sdef76,sdef79]) ).
cnf(c352,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp298,plain,
( spl79
| spl76
| spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c352,sdef69,sdef72,sdef76,sdef79]) ).
cnf(c353,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp299,plain,
( spl79
| spl76
| spl72
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c353,sdef70,sdef72,sdef76,sdef79]) ).
cnf(c354,plain,
( op(e0,op(e3,e0)) != op(e3,e0)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp300,plain,
( spl79
| spl76
| spl73
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c354,sdef67,sdef73,sdef76,sdef79]) ).
cnf(c355,plain,
( op(e1,op(e3,e1)) != op(e3,e1)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp301,plain,
( spl79
| spl76
| spl73
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c355,sdef68,sdef73,sdef76,sdef79]) ).
cnf(c356,plain,
( op(e2,op(e3,e2)) != op(e3,e2)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp302,plain,
( spl79
| spl76
| spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c356,sdef69,sdef73,sdef76,sdef79]) ).
cnf(c357,plain,
( op(e3,op(e3,e3)) != op(e3,e3)
| op(e3,op(e2,e3)) != op(e2,e3)
| op(e3,op(e1,e3)) != op(e1,e3)
| op(e3,op(e0,e3)) != op(e0,e3) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp303,plain,
( spl79
| spl76
| spl73
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c357,sdef70,sdef73,sdef76,sdef79]) ).
cnf(c358,plain,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp304,plain,
( spl63
| spl42
| spl21
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c358,sdef0,sdef21,sdef42,sdef63]) ).
cnf(c359,plain,
( op(e0,e0) = e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp305,plain,
( spl80
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c359,sdef0,sdef80]) ).
cnf(c360,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp306,plain,
( spl81
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c360,sdef4,sdef81]) ).
cnf(c361,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp307,plain,
( spl82
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c361,sdef8,sdef82]) ).
cnf(c362,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp308,plain,
( spl83
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c362,sdef12,sdef83]) ).
cnf(c363,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp309,plain,
( spl84
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c363,sdef17,sdef84]) ).
cnf(c364,plain,
( op(e1,e1) = e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp310,plain,
( spl85
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c364,sdef21,sdef85]) ).
cnf(c365,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp311,plain,
( spl86
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c365,sdef25,sdef86]) ).
cnf(c366,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp312,plain,
( spl87
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c366,sdef29,sdef87]) ).
cnf(c367,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp313,plain,
( spl88
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c367,sdef34,sdef88]) ).
cnf(c368,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp314,plain,
( spl89
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c368,sdef38,sdef89]) ).
cnf(c369,plain,
( op(e2,e2) = e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp315,plain,
( spl90
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c369,sdef42,sdef90]) ).
cnf(c370,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp316,plain,
( spl91
| spl46 ),
inference(avatar_split_clause,[status(thm)],[c370,sdef46,sdef91]) ).
cnf(c371,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp317,plain,
( spl92
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c371,sdef51,sdef92]) ).
cnf(c372,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp318,plain,
( spl93
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c372,sdef55,sdef93]) ).
cnf(c373,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp319,plain,
( spl94
| spl59 ),
inference(avatar_split_clause,[status(thm)],[c373,sdef59,sdef94]) ).
cnf(c374,plain,
( op(e3,e3) = e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp320,plain,
( spl95
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c374,sdef63,sdef95]) ).
fof(f5,axiom,
~ ( e2 = op(e3,op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5_nnf,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c375,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp321,plain,
( spl98
| spl97
| spl96 ),
inference(avatar_split_clause,[status(thm)],[c375,sdef96,sdef97,sdef98]) ).
fof(f6,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f6_nnf,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c376,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(ssp322,plain,
( spl101
| spl100
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c376,sdef99,sdef100,sdef101]) ).
fof(f7,axiom,
~ ( e1 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c377,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(ssp323,plain,
( spl103
| spl102
| spl96 ),
inference(avatar_split_clause,[status(thm)],[c377,sdef96,sdef102,sdef103]) ).
fof(f8,axiom,
~ ( e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f8_nnf,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c378,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(ssp324,plain,
( spl106
| spl105
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c378,sdef104,sdef105,sdef106]) ).
fof(f9,axiom,
~ ( e1 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f9_nnf,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c379,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(ssp325,plain,
( spl108
| spl107
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c379,sdef99,sdef107,sdef108]) ).
fof(f10,axiom,
~ ( e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f10_nnf,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c380,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(ssp326,plain,
( spl110
| spl109
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c380,sdef104,sdef109,sdef110]) ).
fof(f11,axiom,
~ ( e2 = op(e3,op(op(e3,e3),op(e3,e3)))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f11_nnf,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c381,plain,
( e2 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(ssp327,plain,
( spl112
| spl111
| spl98 ),
inference(avatar_split_clause,[status(thm)],[c381,sdef98,sdef111,sdef112]) ).
fof(f12,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f12_nnf,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c382,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(ssp328,plain,
( spl114
| spl113
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c382,sdef101,sdef113,sdef114]) ).
fof(f13,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f13_nnf,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c383,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(ssp329,plain,
( spl115
| spl111
| spl102 ),
inference(avatar_split_clause,[status(thm)],[c383,sdef102,sdef111,sdef115]) ).
fof(f14,axiom,
~ ( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f14_nnf,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c384,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(ssp330,plain,
( spl118
| spl117
| spl116 ),
inference(avatar_split_clause,[status(thm)],[c384,sdef116,sdef117,sdef118]) ).
fof(f15,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f15_nnf,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c385,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(ssp331,plain,
( spl119
| spl113
| spl107 ),
inference(avatar_split_clause,[status(thm)],[c385,sdef107,sdef113,sdef119]) ).
fof(f16,axiom,
~ ( e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f16_nnf,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c386,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(ssp332,plain,
( spl121
| spl120
| spl116 ),
inference(avatar_split_clause,[status(thm)],[c386,sdef116,sdef120,sdef121]) ).
fof(f17,axiom,
~ ( e1 = op(e3,op(op(e3,e3),op(e3,e3)))
& e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c387,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(ssp333,plain,
( spl122
| spl112
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c387,sdef103,sdef112,sdef122]) ).
fof(f18,axiom,
~ ( e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f18_nnf,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c388,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(ssp334,plain,
( spl124
| spl123
| spl106 ),
inference(avatar_split_clause,[status(thm)],[c388,sdef106,sdef123,sdef124]) ).
fof(f19,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c389,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(ssp335,plain,
( spl122
| spl115
| spl97 ),
inference(avatar_split_clause,[status(thm)],[c389,sdef97,sdef115,sdef122]) ).
fof(f20,axiom,
~ ( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c390,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(ssp336,plain,
( spl126
| spl125
| spl118 ),
inference(avatar_split_clause,[status(thm)],[c390,sdef118,sdef125,sdef126]) ).
fof(f21,axiom,
~ ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f21_nnf,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c391,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(ssp337,plain,
( spl127
| spl123
| spl109 ),
inference(avatar_split_clause,[status(thm)],[c391,sdef109,sdef123,sdef127]) ).
fof(f22,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f22_nnf,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c392,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(ssp338,plain,
( spl128
| spl125
| spl120 ),
inference(avatar_split_clause,[status(thm)],[c392,sdef120,sdef125,sdef128]) ).
fof(f23,axiom,
~ ( e1 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f23_nnf,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c393,plain,
( e1 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(ssp339,plain,
( spl129
| spl114
| spl108 ),
inference(avatar_split_clause,[status(thm)],[c393,sdef108,sdef114,sdef129]) ).
fof(f24,axiom,
~ ( e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f24_nnf,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c394,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(ssp340,plain,
( spl130
| spl124
| spl110 ),
inference(avatar_split_clause,[status(thm)],[c394,sdef110,sdef124,sdef130]) ).
fof(f25,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f25_nnf,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c395,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(ssp341,plain,
( spl129
| spl119
| spl100 ),
inference(avatar_split_clause,[status(thm)],[c395,sdef100,sdef119,sdef129]) ).
fof(f26,axiom,
~ ( e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f26_nnf,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c396,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(ssp342,plain,
( spl131
| spl126
| spl121 ),
inference(avatar_split_clause,[status(thm)],[c396,sdef121,sdef126,sdef131]) ).
fof(f27,axiom,
~ ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f27_nnf,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c397,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(ssp343,plain,
( spl130
| spl127
| spl105 ),
inference(avatar_split_clause,[status(thm)],[c397,sdef105,sdef127,sdef130]) ).
fof(f28,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f28_nnf,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c398,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(ssp344,plain,
( spl131
| spl128
| spl117 ),
inference(avatar_split_clause,[status(thm)],[c398,sdef117,sdef128,sdef131]) ).
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,ssp136,ssp137,ssp138,ssp139,ssp140,ssp141,ssp142,ssp143,ssp144,ssp145,ssp146,ssp147,ssp148,ssp149,ssp150,ssp151,ssp152,ssp153,ssp154,ssp155,ssp156,ssp157,ssp158,ssp159,ssp160,ssp161,ssp162,ssp163,ssp164,ssp165,ssp166,ssp167,ssp168,ssp169,ssp170,ssp171,ssp172,ssp173,ssp174,ssp175,ssp176,ssp177,ssp178,ssp179,ssp180,ssp181,ssp182,ssp183,ssp184,ssp185,ssp186,ssp187,ssp188,ssp189,ssp190,ssp191,ssp192,ssp193,ssp194,ssp195,ssp196,ssp197,ssp198,ssp199,ssp200,ssp201,ssp202,ssp203,ssp204,ssp205,ssp206,ssp207,ssp208,ssp209,ssp210,ssp211,ssp212,ssp213,ssp214,ssp215,ssp216,ssp217,ssp218,ssp219,ssp220,ssp221,ssp222,ssp223,ssp224,ssp225,ssp226,ssp227,ssp228,ssp229,ssp230,ssp231,ssp232,ssp233,ssp234,ssp235,ssp236,ssp237,ssp238,ssp239,ssp240,ssp241,ssp242,ssp243,ssp244,ssp245,ssp246,ssp247,ssp248,ssp249,ssp250,ssp251,ssp252,ssp253,ssp254,ssp255,ssp256,ssp257,ssp258,ssp259,ssp260,ssp261,ssp262,ssp263,ssp264,ssp265,ssp266,ssp267,ssp268,ssp269,ssp270,ssp271,ssp272,ssp273,ssp274,ssp275,ssp276,ssp277,ssp278,ssp279,ssp280,ssp281,ssp282,ssp283,ssp284,ssp285,ssp286,ssp287,ssp288,ssp289,ssp290,ssp291,ssp292,ssp293,ssp294,ssp295,ssp296,ssp297,ssp298,ssp299,ssp300,ssp301,ssp302,ssp303,ssp304,ssp305,ssp306,ssp307,ssp308,ssp309,ssp310,ssp311,ssp312,ssp313,ssp314,ssp315,ssp316,ssp317,ssp318,ssp319,ssp320,ssp321,ssp322,ssp323,ssp324,ssp325,ssp326,ssp327,ssp328,ssp329,ssp330,ssp331,ssp332,ssp333,ssp334,ssp335,ssp336,ssp337,ssp338,ssp339,ssp340,ssp341,ssp342,ssp343,ssp344,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,sct214,sct215,sct216,sct217,sct218,sct219,sct220,sct221,sct222,sct223,sct224,sct225,sct226,sct227,sct228,sct229,sct230,sct231,sct232,sct233,sct234,sct235,sct236,sct237,sct238,sct239,sct240,sct241,sct242,sct243,sct244,sct245,sct246,sct247,sct248,sct249,sct250,sct251,sct252,sct253,sct254,sct255,sct256,sct257,sct258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG150+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 04:54:24 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 65.93/8.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.93/8.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------