%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG136+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 12:51:43 PM UTC 2026
% Result : Unsatisfiable 9.14s 9.16s
% Output : Proof 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 158
% Syntax : Number of formulae : 1260 ( 11 unt; 129 def)
% Number of atoms : 4653 (2252 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6300 (2907 ~;2733 |; 531 &)
% ( 129 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 131 ( 129 usr; 130 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(p320,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/sandbox/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(p326,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p320,c96]) ).
cnf(sct0,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p326]) ).
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(p325,plain,
( ~ spl2
| ~ spl1
| e1 = e2 ),
inference(superposition,[status(thm)],[p2,p3]) ).
cnf(c99,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p328,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p325,c99]) ).
cnf(sct1,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p328]) ).
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(p330,plain,
( ~ spl3
| ~ spl2
| e2 = e3 ),
inference(superposition,[status(thm)],[p3,p4]) ).
cnf(c101,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p332,plain,
( ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p330,c101]) ).
cnf(sct2,plain,
( ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p332]) ).
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(p334,plain,
( ~ spl5
| ~ spl4
| e0 = e1 ),
inference(superposition,[status(thm)],[p6,p7]) ).
cnf(p342,plain,
( ~ spl5
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p334,c96]) ).
cnf(sct3,plain,
( ~ spl5
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p342]) ).
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(p340,plain,
( ~ spl6
| ~ spl5
| e1 = e2 ),
inference(superposition,[status(thm)],[p7,p8]) ).
cnf(p344,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p340,c99]) ).
cnf(sct4,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p344]) ).
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(p346,plain,
( ~ spl7
| ~ spl6
| e2 = e3 ),
inference(superposition,[status(thm)],[p8,p9]) ).
cnf(p348,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p346,c101]) ).
cnf(sct5,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p348]) ).
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(p350,plain,
( ~ spl9
| ~ spl8
| e0 = e1 ),
inference(superposition,[status(thm)],[p11,p12]) ).
cnf(p357,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p350,c96]) ).
cnf(sct6,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p357]) ).
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(p354,plain,
( ~ spl10
| ~ spl8
| e0 = e2 ),
inference(superposition,[status(thm)],[p11,p13]) ).
cnf(c97,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p361,plain,
( ~ spl10
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p354,c97]) ).
cnf(sct7,plain,
( ~ spl10
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p361]) ).
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(p365,plain,
( ~ spl11
| ~ spl8
| e0 = e3 ),
inference(superposition,[status(thm)],[p11,p14]) ).
cnf(c98,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p373,plain,
( ~ spl11
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p365,c98]) ).
cnf(sct8,plain,
( ~ spl11
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p373]) ).
cnf(p363,plain,
( ~ spl7
| ~ spl5
| e3 = e1 ),
inference(superposition,[status(thm)],[p9,p7]) ).
cnf(c100,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p366,plain,
( ~ spl7
| ~ spl5
| e1 != e1 ),
inference(superposition,[status(thm)],[p363,c100]) ).
cnf(p374,plain,
( ~ spl7
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p366]) ).
cnf(sct9,plain,
( ~ spl7
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p374]) ).
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(p376,plain,
( ~ spl13
| ~ spl12
| e0 = e1 ),
inference(superposition,[status(thm)],[p16,p17]) ).
cnf(p379,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p376,c96]) ).
cnf(sct10,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p379]) ).
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(p381,plain,
( ~ spl14
| ~ spl13
| e1 = e2 ),
inference(superposition,[status(thm)],[p17,p18]) ).
cnf(p388,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p381,c99]) ).
cnf(sct11,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p388]) ).
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(p385,plain,
( ~ spl15
| ~ spl14
| e2 = e3 ),
inference(superposition,[status(thm)],[p18,p19]) ).
cnf(p391,plain,
( ~ spl15
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p385,c101]) ).
cnf(sct12,plain,
( ~ spl15
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p391]) ).
cnf(p383,plain,
( ~ spl15
| ~ spl13
| e1 = e3 ),
inference(superposition,[status(thm)],[p17,p19]) ).
cnf(p395,plain,
( ~ spl15
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p383,c100]) ).
cnf(sct13,plain,
( ~ spl15
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p395]) ).
cnf(p397,plain,
( ~ spl15
| ~ spl12
| e3 = e0 ),
inference(superposition,[status(thm)],[p19,p16]) ).
cnf(p398,plain,
( ~ spl15
| ~ spl12
| e0 != e0 ),
inference(superposition,[status(thm)],[p397,c98]) ).
cnf(p404,plain,
( ~ spl15
| ~ spl12
| $false ),
inference(equality_resolution,[status(thm)],[p398]) ).
cnf(sct14,plain,
( ~ spl15
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p404]) ).
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(p403,plain,
( ~ spl17
| ~ spl16
| e0 = e1 ),
inference(superposition,[status(thm)],[p21,p22]) ).
cnf(p408,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p403,c96]) ).
cnf(sct15,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p408]) ).
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(p410,plain,
( ~ spl18
| ~ spl17
| e1 = e2 ),
inference(superposition,[status(thm)],[p22,p23]) ).
cnf(p417,plain,
( ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p410,c99]) ).
cnf(sct16,plain,
( ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p417]) ).
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(p414,plain,
( ~ spl19
| ~ spl18
| e2 = e3 ),
inference(superposition,[status(thm)],[p23,p24]) ).
cnf(p420,plain,
( ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p414,c101]) ).
cnf(sct17,plain,
( ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p420]) ).
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(p422,plain,
( ~ spl21
| ~ spl20
| e0 = e1 ),
inference(superposition,[status(thm)],[p26,p27]) ).
cnf(p428,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p422,c96]) ).
cnf(sct18,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p428]) ).
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(p430,plain,
( ~ spl22
| ~ spl21
| e1 = e2 ),
inference(superposition,[status(thm)],[p27,p28]) ).
cnf(p437,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p430,c99]) ).
cnf(sct19,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p437]) ).
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(p434,plain,
( ~ spl23
| ~ spl22
| e2 = e3 ),
inference(superposition,[status(thm)],[p28,p29]) ).
cnf(p440,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p434,c101]) ).
cnf(sct20,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p440]) ).
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(p442,plain,
( ~ spl25
| ~ spl24
| e0 = e1 ),
inference(superposition,[status(thm)],[p31,p32]) ).
cnf(p448,plain,
( ~ spl25
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p442,c96]) ).
cnf(sct21,plain,
( ~ spl25
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p448]) ).
cnf(p432,plain,
( ~ spl23
| ~ spl21
| e1 = e3 ),
inference(superposition,[status(thm)],[p27,p29]) ).
cnf(p454,plain,
( ~ spl23
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p432,c100]) ).
cnf(sct22,plain,
( ~ spl23
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p454]) ).
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(p453,plain,
( ~ spl26
| ~ spl24
| e0 = e2 ),
inference(superposition,[status(thm)],[p31,p33]) ).
cnf(p459,plain,
( ~ spl26
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p453,c97]) ).
cnf(sct23,plain,
( ~ spl26
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p459]) ).
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(p461,plain,
( ~ spl27
| ~ spl24
| e0 = e3 ),
inference(superposition,[status(thm)],[p31,p34]) ).
cnf(p466,plain,
( ~ spl27
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p461,c98]) ).
cnf(sct24,plain,
( ~ spl27
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p466]) ).
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(p468,plain,
( ~ spl29
| ~ spl28
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p37]) ).
cnf(p480,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p468,c96]) ).
cnf(sct25,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p480]) ).
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(p472,plain,
( ~ spl30
| ~ spl29
| e1 = e2 ),
inference(superposition,[status(thm)],[p37,p38]) ).
cnf(p484,plain,
( ~ spl30
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p472,c99]) ).
cnf(sct26,plain,
( ~ spl30
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p484]) ).
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(p486,plain,
( ~ spl31
| ~ spl30
| e2 = e3 ),
inference(superposition,[status(thm)],[p38,p39]) ).
cnf(p490,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p486,c101]) ).
cnf(sct27,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p490]) ).
cnf(p492,plain,
( ~ spl31
| ~ spl29
| e3 = e1 ),
inference(superposition,[status(thm)],[p39,p37]) ).
cnf(p493,plain,
( ~ spl31
| ~ spl29
| e1 != e1 ),
inference(superposition,[status(thm)],[p492,c100]) ).
cnf(p497,plain,
( ~ spl31
| ~ spl29
| $false ),
inference(equality_resolution,[status(thm)],[p493]) ).
cnf(sct28,plain,
( ~ spl31
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p497]) ).
cnf(p499,plain,
( ~ spl31
| ~ spl28
| e3 = e0 ),
inference(superposition,[status(thm)],[p39,p36]) ).
cnf(p500,plain,
( ~ spl31
| ~ spl28
| e0 != e0 ),
inference(superposition,[status(thm)],[p499,c98]) ).
cnf(p505,plain,
( ~ spl31
| ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p500]) ).
cnf(sct29,plain,
( ~ spl31
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p505]) ).
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(p507,plain,
( ~ spl33
| ~ spl32
| e0 = e1 ),
inference(superposition,[status(thm)],[p41,p42]) ).
cnf(p514,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p507,c96]) ).
cnf(sct30,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p514]) ).
cnf(p412,plain,
( ~ spl19
| ~ spl17
| e1 = e3 ),
inference(superposition,[status(thm)],[p22,p24]) ).
cnf(p519,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p412,c100]) ).
cnf(sct31,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p519]) ).
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(p521,plain,
( ~ spl34
| ~ spl32
| e0 = e2 ),
inference(superposition,[status(thm)],[p41,p43]) ).
cnf(p527,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p521,c97]) ).
cnf(sct32,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p527]) ).
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(p529,plain,
( ~ spl35
| ~ spl32
| e0 = e3 ),
inference(superposition,[status(thm)],[p41,p44]) ).
cnf(p535,plain,
( ~ spl35
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p529,c98]) ).
cnf(sct33,plain,
( ~ spl35
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p535]) ).
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(p537,plain,
( ~ spl37
| ~ spl36
| e0 = e1 ),
inference(superposition,[status(thm)],[p46,p47]) ).
cnf(p545,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p537,c96]) ).
cnf(sct34,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p545]) ).
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(p547,plain,
( ~ spl38
| ~ spl36
| e0 = e2 ),
inference(superposition,[status(thm)],[p46,p48]) ).
cnf(p559,plain,
( ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p547,c97]) ).
cnf(sct35,plain,
( ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p559]) ).
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(p555,plain,
( ~ spl39
| ~ spl36
| e0 = e3 ),
inference(superposition,[status(thm)],[p46,p49]) ).
cnf(p565,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p555,c98]) ).
cnf(sct36,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p565]) ).
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(p567,plain,
( ~ spl41
| ~ spl40
| e0 = e1 ),
inference(superposition,[status(thm)],[p51,p52]) ).
cnf(p575,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p567,c96]) ).
cnf(sct37,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p575]) ).
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(p577,plain,
( ~ spl42
| ~ spl41
| e1 = e2 ),
inference(superposition,[status(thm)],[p52,p53]) ).
cnf(p591,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p577,c99]) ).
cnf(sct38,plain,
( ~ spl42
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p591]) ).
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(p587,plain,
( ~ spl43
| ~ spl41
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p54]) ).
cnf(p596,plain,
( ~ spl43
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p587,c100]) ).
cnf(sct39,plain,
( ~ spl43
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p596]) ).
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(p598,plain,
( ~ spl45
| ~ spl44
| e0 = e1 ),
inference(superposition,[status(thm)],[p56,p57]) ).
cnf(p606,plain,
( ~ spl45
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p598,c96]) ).
cnf(sct40,plain,
( ~ spl45
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p606]) ).
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(p608,plain,
( ~ spl46
| ~ spl44
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p58]) ).
cnf(p622,plain,
( ~ spl46
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p608,c97]) ).
cnf(sct41,plain,
( ~ spl46
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p622]) ).
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(p620,plain,
( ~ spl47
| ~ spl46
| e2 = e3 ),
inference(superposition,[status(thm)],[p58,p59]) ).
cnf(p629,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p620,c101]) ).
cnf(sct42,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p629]) ).
cnf(p589,plain,
( ~ spl43
| ~ spl42
| e2 = e3 ),
inference(superposition,[status(thm)],[p53,p54]) ).
cnf(p635,plain,
( ~ spl43
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p589,c101]) ).
cnf(sct43,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p635]) ).
cnf(p637,plain,
( ~ spl42
| ~ spl40
| e2 = e0 ),
inference(superposition,[status(thm)],[p53,p51]) ).
cnf(p638,plain,
( ~ spl42
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p637,c97]) ).
cnf(p647,plain,
( ~ spl42
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p638]) ).
cnf(sct44,plain,
( ~ spl42
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p647]) ).
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(p649,plain,
( ~ spl49
| ~ spl48
| e0 = e1 ),
inference(superposition,[status(thm)],[p61,p62]) ).
cnf(p657,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p649,c96]) ).
cnf(sct45,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p657]) ).
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(p661,plain,
( ~ spl50
| ~ spl49
| e1 = e2 ),
inference(superposition,[status(thm)],[p62,p63]) ).
cnf(p677,plain,
( ~ spl50
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p661,c99]) ).
cnf(sct46,plain,
( ~ spl50
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p677]) ).
cnf(p659,plain,
( ~ spl47
| ~ spl45
| e3 = e1 ),
inference(superposition,[status(thm)],[p59,p57]) ).
cnf(p662,plain,
( ~ spl47
| ~ spl45
| e1 != e1 ),
inference(superposition,[status(thm)],[p659,c100]) ).
cnf(p678,plain,
( ~ spl47
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p662]) ).
cnf(sct47,plain,
( ~ spl47
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p678]) ).
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(p680,plain,
( ~ spl51
| ~ spl50
| e2 = e3 ),
inference(superposition,[status(thm)],[p63,p64]) ).
cnf(p687,plain,
( ~ spl51
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p680,c101]) ).
cnf(sct48,plain,
( ~ spl51
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p687]) ).
cnf(p689,plain,
( ~ spl43
| ~ spl40
| e3 = e0 ),
inference(superposition,[status(thm)],[p54,p51]) ).
cnf(p690,plain,
( ~ spl43
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p689,c98]) ).
cnf(p700,plain,
( ~ spl43
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p690]) ).
cnf(sct49,plain,
( ~ spl43
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p700]) ).
cnf(p702,plain,
( ~ spl46
| ~ spl45
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p58]) ).
cnf(p712,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p702,c99]) ).
cnf(sct50,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p712]) ).
cnf(p557,plain,
( ~ spl39
| ~ spl38
| e2 = e3 ),
inference(superposition,[status(thm)],[p48,p49]) ).
cnf(p722,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p557,c101]) ).
cnf(sct51,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p722]) ).
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(p711,plain,
( ~ spl53
| ~ spl52
| e0 = e1 ),
inference(superposition,[status(thm)],[p66,p67]) ).
cnf(p737,plain,
( ~ spl53
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p711,c96]) ).
cnf(sct52,plain,
( ~ spl53
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p737]) ).
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(p733,plain,
( ~ spl54
| ~ spl52
| e0 = e2 ),
inference(superposition,[status(thm)],[p66,p68]) ).
cnf(p747,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p733,c97]) ).
cnf(sct53,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p747]) ).
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(p751,plain,
( ~ spl55
| ~ spl52
| e0 = e3 ),
inference(superposition,[status(thm)],[p66,p69]) ).
cnf(p772,plain,
( ~ spl55
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p751,c98]) ).
cnf(sct54,plain,
( ~ spl55
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p772]) ).
cnf(p749,plain,
( ~ spl39
| ~ spl37
| e3 = e1 ),
inference(superposition,[status(thm)],[p49,p47]) ).
cnf(p752,plain,
( ~ spl39
| ~ spl37
| e1 != e1 ),
inference(superposition,[status(thm)],[p749,c100]) ).
cnf(p773,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p752]) ).
cnf(sct55,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p773]) ).
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(p777,plain,
( ~ spl57
| ~ spl56
| e0 = e1 ),
inference(superposition,[status(thm)],[p71,p72]) ).
cnf(p795,plain,
( ~ spl57
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p777,c96]) ).
cnf(sct56,plain,
( ~ spl57
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p795]) ).
cnf(p775,plain,
( ~ spl51
| ~ spl49
| e3 = e1 ),
inference(superposition,[status(thm)],[p64,p62]) ).
cnf(p778,plain,
( ~ spl51
| ~ spl49
| e1 != e1 ),
inference(superposition,[status(thm)],[p775,c100]) ).
cnf(p796,plain,
( ~ spl51
| ~ spl49
| $false ),
inference(equality_resolution,[status(thm)],[p778]) ).
cnf(sct57,plain,
( ~ spl51
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p796]) ).
fof(sdef58,definition,
( spl58
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl58])],[avatar_definition]) ).
cnf(p73,plain,
( ~ spl58
| op(e3,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef58]) ).
cnf(p798,plain,
( ~ spl58
| ~ spl57
| e1 = e2 ),
inference(superposition,[status(thm)],[p72,p73]) ).
cnf(p807,plain,
( ~ spl58
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p798,c99]) ).
cnf(sct58,plain,
( ~ spl58
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p807]) ).
cnf(p809,plain,
( ~ spl51
| ~ spl48
| e3 = e0 ),
inference(superposition,[status(thm)],[p64,p61]) ).
cnf(p810,plain,
( ~ spl51
| ~ spl48
| e0 != e0 ),
inference(superposition,[status(thm)],[p809,c98]) ).
cnf(p825,plain,
( ~ spl51
| ~ spl48
| $false ),
inference(equality_resolution,[status(thm)],[p810]) ).
cnf(sct59,plain,
( ~ spl51
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p825]) ).
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(p821,plain,
( ~ spl59
| ~ spl56
| e0 = e3 ),
inference(superposition,[status(thm)],[p71,p74]) ).
cnf(p836,plain,
( ~ spl59
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p821,c98]) ).
cnf(sct60,plain,
( ~ spl59
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p836]) ).
cnf(p823,plain,
( ~ spl59
| ~ spl58
| e2 = e3 ),
inference(superposition,[status(thm)],[p73,p74]) ).
cnf(p847,plain,
( ~ spl59
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p823,c101]) ).
cnf(sct61,plain,
( ~ spl59
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p847]) ).
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(p851,plain,
( ~ spl61
| ~ spl60
| e0 = e1 ),
inference(superposition,[status(thm)],[p76,p77]) ).
cnf(p870,plain,
( ~ spl61
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p851,c96]) ).
cnf(sct62,plain,
( ~ spl61
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p870]) ).
cnf(p849,plain,
( ~ spl59
| ~ spl57
| e3 = e1 ),
inference(superposition,[status(thm)],[p74,p72]) ).
cnf(p852,plain,
( ~ spl59
| ~ spl57
| e1 != e1 ),
inference(superposition,[status(thm)],[p849,c100]) ).
cnf(p871,plain,
( ~ spl59
| ~ spl57
| $false ),
inference(equality_resolution,[status(thm)],[p852]) ).
cnf(sct63,plain,
( ~ spl59
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p871]) ).
cnf(p470,plain,
( ~ spl30
| ~ spl28
| e0 = e2 ),
inference(superposition,[status(thm)],[p36,p38]) ).
cnf(p886,plain,
( ~ spl30
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p470,c97]) ).
cnf(sct64,plain,
( ~ spl30
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p886]) ).
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(p873,plain,
( ~ spl62
| ~ spl61
| e1 = e2 ),
inference(superposition,[status(thm)],[p77,p78]) ).
cnf(p898,plain,
( ~ spl62
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p873,c99]) ).
cnf(sct65,plain,
( ~ spl62
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p898]) ).
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(p900,plain,
( ~ spl63
| ~ spl61
| e1 = e3 ),
inference(superposition,[status(thm)],[p77,p79]) ).
cnf(p913,plain,
( ~ spl63
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p900,c100]) ).
cnf(sct66,plain,
( ~ spl63
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p913]) ).
cnf(p915,plain,
( ~ spl26
| ~ spl25
| e2 = e1 ),
inference(superposition,[status(thm)],[p33,p32]) ).
cnf(p918,plain,
( ~ spl26
| ~ spl25
| e1 != e1 ),
inference(superposition,[status(thm)],[p915,c99]) ).
cnf(p939,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p918]) ).
cnf(sct67,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p939]) ).
cnf(p941,plain,
( ~ spl27
| ~ spl26
| e3 = e2 ),
inference(superposition,[status(thm)],[p34,p33]) ).
cnf(p942,plain,
( ~ spl27
| ~ spl26
| e2 != e2 ),
inference(superposition,[status(thm)],[p941,c101]) ).
cnf(p953,plain,
( ~ spl27
| ~ spl26
| $false ),
inference(equality_resolution,[status(thm)],[p942]) ).
cnf(sct68,plain,
( ~ spl27
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p953]) ).
cnf(p917,plain,
( ~ spl27
| ~ spl25
| e3 = e1 ),
inference(superposition,[status(thm)],[p34,p32]) ).
cnf(p929,plain,
( ~ spl27
| ~ spl25
| e1 != e1 ),
inference(superposition,[status(thm)],[p917,c100]) ).
cnf(p954,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(equality_resolution,[status(thm)],[p929]) ).
cnf(sct69,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p954]) ).
cnf(p958,plain,
( ~ spl58
| ~ spl56
| e2 = e0 ),
inference(superposition,[status(thm)],[p73,p71]) ).
cnf(p961,plain,
( ~ spl58
| ~ spl56
| e0 != e0 ),
inference(superposition,[status(thm)],[p958,c97]) ).
cnf(p972,plain,
( ~ spl58
| ~ spl56
| $false ),
inference(equality_resolution,[status(thm)],[p961]) ).
cnf(sct70,plain,
( ~ spl58
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p972]) ).
fof(sdef72,definition,
( spl72
<=> op(e2,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p181,plain,
( ~ spl72
| op(e2,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
cnf(p989,plain,
( ~ spl72
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p181,p52]) ).
cnf(sct71,plain,
( ~ spl72
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p989]) ).
fof(sdef66,definition,
( spl66
<=> op(e1,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl66])],[avatar_definition]) ).
cnf(p170,plain,
( ~ spl66
| op(e1,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef66]) ).
cnf(p1012,plain,
( ~ spl66
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p26,p170]) ).
cnf(sct72,plain,
( ~ spl66
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1012]) ).
cnf(p618,plain,
( ~ spl47
| ~ spl44
| e0 = e3 ),
inference(superposition,[status(thm)],[p56,p59]) ).
cnf(p1034,plain,
( ~ spl47
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p618,c98]) ).
cnf(sct73,plain,
( ~ spl47
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p1034]) ).
cnf(p1036,plain,
( ~ spl19
| ~ spl16
| e3 = e0 ),
inference(superposition,[status(thm)],[p24,p21]) ).
cnf(p1040,plain,
( ~ spl19
| ~ spl16
| e0 != e0 ),
inference(superposition,[status(thm)],[p1036,c98]) ).
cnf(p1058,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p1040]) ).
cnf(sct74,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1058]) ).
cnf(p1087,plain,
( ~ spl35
| ~ spl33
| e3 = e1 ),
inference(superposition,[status(thm)],[p44,p42]) ).
cnf(p1106,plain,
( ~ spl35
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p1087,c100]) ).
cnf(p1124,plain,
( ~ spl35
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p1106]) ).
cnf(sct75,plain,
( ~ spl35
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p1124]) ).
cnf(p1132,plain,
( ~ spl55
| ~ spl54
| e3 = e2 ),
inference(superposition,[status(thm)],[p69,p68]) ).
cnf(p1137,plain,
( ~ spl55
| ~ spl54
| e2 != e2 ),
inference(superposition,[status(thm)],[p1132,c101]) ).
cnf(p1150,plain,
( ~ spl55
| ~ spl54
| $false ),
inference(equality_resolution,[status(thm)],[p1137]) ).
cnf(sct76,plain,
( ~ spl55
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p1150]) ).
cnf(p1152,plain,
( ~ spl55
| ~ spl53
| e3 = e1 ),
inference(superposition,[status(thm)],[p69,p67]) ).
cnf(p1153,plain,
( ~ spl55
| ~ spl53
| e1 != e1 ),
inference(superposition,[status(thm)],[p1152,c100]) ).
cnf(p1174,plain,
( ~ spl55
| ~ spl53
| $false ),
inference(equality_resolution,[status(thm)],[p1153]) ).
cnf(sct77,plain,
( ~ spl55
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p1174]) ).
fof(sdef68,definition,
( spl68
<=> op(e3,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p174,plain,
( ~ spl68
| op(e3,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
cnf(p1179,plain,
( ~ spl68
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p76,p174]) ).
cnf(sct78,plain,
( ~ spl68
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1179]) ).
fof(sdef73,definition,
( spl73
<=> op(e3,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(p183,plain,
( ~ spl73
| op(e3,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef73]) ).
cnf(p1214,plain,
( ~ spl73
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p183,p77]) ).
cnf(sct79,plain,
( ~ spl73
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1214]) ).
cnf(p1222,plain,
( ~ spl35
| ~ spl34
| e3 = e2 ),
inference(superposition,[status(thm)],[p44,p43]) ).
cnf(p1228,plain,
( ~ spl35
| ~ spl34
| e2 != e2 ),
inference(superposition,[status(thm)],[p1222,c101]) ).
cnf(p1242,plain,
( ~ spl35
| ~ spl34
| $false ),
inference(equality_resolution,[status(thm)],[p1228]) ).
cnf(sct80,plain,
( ~ spl35
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p1242]) ).
cnf(p1254,plain,
( ~ spl63
| ~ spl62
| e3 = e2 ),
inference(superposition,[status(thm)],[p79,p78]) ).
cnf(p1256,plain,
( ~ spl63
| ~ spl62
| e2 != e2 ),
inference(superposition,[status(thm)],[p1254,c101]) ).
cnf(p1279,plain,
( ~ spl63
| ~ spl62
| $false ),
inference(equality_resolution,[status(thm)],[p1256]) ).
cnf(sct81,plain,
( ~ spl63
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p1279]) ).
fof(sdef74,definition,
( spl74
<=> op(e0,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(p185,plain,
( ~ spl74
| op(e0,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p1280,plain,
( ~ spl74
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p185,p11]) ).
cnf(sct82,plain,
( ~ spl74
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1280]) ).
fof(sdef69,definition,
( spl69
<=> op(e0,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(p176,plain,
( ~ spl69
| op(e0,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef69]) ).
cnf(p1305,plain,
( ~ spl69
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p6,p176]) ).
cnf(sct83,plain,
( ~ spl69
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1305]) ).
cnf(p356,plain,
( ~ spl10
| ~ spl9
| e1 = e2 ),
inference(superposition,[status(thm)],[p12,p13]) ).
cnf(p1328,plain,
( ~ spl10
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p356,c99]) ).
cnf(sct84,plain,
( ~ spl10
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1328]) ).
cnf(p1063,plain,
( ~ spl18
| ~ spl16
| e0 = e2 ),
inference(superposition,[status(thm)],[p21,p23]) ).
cnf(p1340,plain,
( ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1063,c97]) ).
cnf(sct85,plain,
( ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1340]) ).
cnf(p1085,plain,
( ~ spl34
| ~ spl33
| e2 = e1 ),
inference(superposition,[status(thm)],[p43,p42]) ).
cnf(p1091,plain,
( ~ spl34
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p1085,c99]) ).
cnf(p1356,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p1091]) ).
cnf(sct86,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p1356]) ).
fof(sdef64,definition,
( spl64
<=> op(e0,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl64])],[avatar_definition]) ).
cnf(p167,plain,
( ~ spl64
| op(e0,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef64]) ).
cnf(p1374,plain,
( ~ spl64
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p1,p167]) ).
cnf(sct87,plain,
( ~ spl64
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1374]) ).
cnf(p1196,plain,
( ~ spl50
| ~ spl48
| e2 = e0 ),
inference(superposition,[status(thm)],[p63,p61]) ).
cnf(p1200,plain,
( ~ spl50
| ~ spl48
| e0 != e0 ),
inference(superposition,[status(thm)],[p1196,c97]) ).
cnf(p1385,plain,
( ~ spl50
| ~ spl48
| $false ),
inference(equality_resolution,[status(thm)],[p1200]) ).
cnf(sct88,plain,
( ~ spl50
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p1385]) ).
fof(sdef75,definition,
( spl75
<=> op(e0,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p186,plain,
( ~ spl75
| op(e0,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
cnf(p1412,plain,
( ~ spl75
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p186,p3]) ).
cnf(sct89,plain,
( ~ spl75
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p1412]) ).
fof(sdef70,definition,
( spl70
<=> op(e0,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p177,plain,
( ~ spl70
| op(e0,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
cnf(p1423,plain,
( ~ spl70
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2,p177]) ).
cnf(sct90,plain,
( ~ spl70
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p1423]) ).
cnf(p1417,plain,
( ~ spl3
| ~ spl1
| e3 = e1 ),
inference(superposition,[status(thm)],[p4,p2]) ).
cnf(p1427,plain,
( ~ spl3
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p1417,c100]) ).
cnf(p1449,plain,
( ~ spl3
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p1427]) ).
cnf(sct91,plain,
( ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p1449]) ).
fof(sdef71,definition,
( spl71
<=> op(e1,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(p179,plain,
( ~ spl71
| op(e1,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef71]) ).
cnf(p1462,plain,
( ~ spl71
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p27,p179]) ).
cnf(sct92,plain,
( ~ spl71
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p1462]) ).
cnf(p1176,plain,
( ~ spl62
| ~ spl60
| e2 = e0 ),
inference(superposition,[status(thm)],[p78,p76]) ).
fof(sdef67,definition,
( spl67
<=> op(e2,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p172,plain,
( ~ spl67
| op(e2,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
cnf(p1128,plain,
( ~ spl67
| ~ spl42
| e2 != e0 ),
inference(superposition,[status(thm)],[p53,p172]) ).
cnf(p1481,plain,
( ~ spl67
| ~ spl62
| ~ spl60
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p1176,p1128]) ).
cnf(sct93,plain,
( ~ spl67
| ~ spl62
| ~ spl60
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p1481]) ).
cnf(p1451,plain,
( ~ spl69
| ~ spl6
| e2 != e0 ),
inference(superposition,[status(thm)],[p8,p176]) ).
cnf(p1489,plain,
( ~ spl69
| ~ spl62
| ~ spl60
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1176,p1451]) ).
cnf(sct94,plain,
( ~ spl69
| ~ spl62
| ~ spl60
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1489]) ).
cnf(p1494,plain,
( ~ spl23
| ~ spl20
| e3 = e0 ),
inference(superposition,[status(thm)],[p29,p26]) ).
cnf(p1501,plain,
( ~ spl23
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p1494,c98]) ).
cnf(p1528,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1501]) ).
cnf(sct95,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1528]) ).
cnf(p1010,plain,
( ~ spl22
| ~ spl20
| e2 = e0 ),
inference(superposition,[status(thm)],[p28,p26]) ).
cnf(p1554,plain,
( ~ spl69
| ~ spl22
| ~ spl20
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p1010,p1451]) ).
cnf(sct96,plain,
( ~ spl69
| ~ spl22
| ~ spl20
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1554]) ).
cnf(p1178,plain,
( ~ spl63
| ~ spl60
| e3 = e0 ),
inference(superposition,[status(thm)],[p79,p76]) ).
cnf(p1189,plain,
( ~ spl67
| ~ spl43
| e3 != e0 ),
inference(superposition,[status(thm)],[p54,p172]) ).
cnf(p1575,plain,
( ~ spl67
| ~ spl63
| ~ spl60
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p1178,p1189]) ).
cnf(sct97,plain,
( ~ spl67
| ~ spl63
| ~ spl60
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p1575]) ).
cnf(p1593,plain,
( ~ spl38
| ~ spl37
| e2 = e1 ),
inference(superposition,[status(thm)],[p48,p47]) ).
cnf(p1600,plain,
( ~ spl38
| ~ spl37
| e1 != e1 ),
inference(superposition,[status(thm)],[p1593,c99]) ).
cnf(p1620,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(equality_resolution,[status(thm)],[p1600]) ).
cnf(sct98,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p1620]) ).
fof(sdef82,definition,
( spl82
<=> op(e2,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl82])],[avatar_definition]) ).
cnf(p199,plain,
( ~ spl82
| op(e2,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef82]) ).
cnf(p1639,plain,
( ~ spl82
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p199,p54]) ).
cnf(sct99,plain,
( ~ spl82
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p1639]) ).
fof(sdef77,definition,
( spl77
<=> op(e2,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p190,plain,
( ~ spl77
| op(e2,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef77]) ).
cnf(p1649,plain,
( ~ spl77
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p53,p190]) ).
cnf(sct100,plain,
( ~ spl77
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p1649]) ).
fof(sdef85,definition,
( spl85
<=> op(e1,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p212,plain,
( ~ spl85
| op(e1,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p1660,plain,
( ~ spl85
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p212,p32]) ).
cnf(sct101,plain,
( ~ spl85
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p1660]) ).
fof(sdef87,definition,
( spl87
<=> op(e2,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(p222,plain,
( ~ spl87
| op(e2,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef87]) ).
cnf(p1677,plain,
( ~ spl87
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p222,p43]) ).
cnf(sct102,plain,
( ~ spl87
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p1677]) ).
fof(sdef86,definition,
( spl86
<=> op(e1,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl86])],[avatar_definition]) ).
cnf(p217,plain,
( ~ spl86
| op(e1,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef86]) ).
cnf(p1679,plain,
( ~ spl86
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p37,p217]) ).
cnf(sct103,plain,
( ~ spl86
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p1679]) ).
fof(sdef81,definition,
( spl81
<=> op(e1,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl81])],[avatar_definition]) ).
cnf(p197,plain,
( ~ spl81
| op(e1,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef81]) ).
cnf(p1692,plain,
( ~ spl81
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p29,p197]) ).
cnf(sct104,plain,
( ~ spl81
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1692]) ).
fof(sdef90,definition,
( spl90
<=> op(e3,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(p241,plain,
( ~ spl90
| op(e3,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef90]) ).
cnf(p1693,plain,
( ~ spl90
| ~ spl51
| $false ),
inference(resolution,[status(thm)],[p241,p64]) ).
cnf(sct105,plain,
( ~ spl90
| ~ spl51 ),
inference(avatar_contradiction_clause,[status(thm)],[p1693]) ).
fof(sdef94,definition,
( spl94
<=> e1 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl94])],[avatar_definition]) ).
cnf(p261,plain,
( ~ spl94
| e1 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef94]) ).
cnf(p1703,plain,
( ~ spl94
| ~ spl61
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p261]) ).
cnf(p1705,plain,
( ~ spl94
| ~ spl61
| $false ),
inference(equality_resolution,[status(thm)],[p1703]) ).
cnf(sct106,plain,
( ~ spl94
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p1705]) ).
fof(sdef104,definition,
( spl104
<=> e3 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p275,plain,
( ~ spl104
| e3 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
cnf(p1708,plain,
( ~ spl104
| ~ spl43
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p275]) ).
cnf(p1709,plain,
( ~ spl104
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p1708]) ).
cnf(sct107,plain,
( ~ spl104
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p1709]) ).
fof(sdef106,definition,
( spl106
<=> e3 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl106])],[avatar_definition]) ).
cnf(p278,plain,
( ~ spl106
| e3 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef106]) ).
cnf(p1710,plain,
( ~ spl106
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p278]) ).
cnf(p1712,plain,
( ~ spl106
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p1710]) ).
cnf(sct108,plain,
( ~ spl106
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1712]) ).
fof(sdef123,definition,
( spl123
<=> e1 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl123])],[avatar_definition]) ).
cnf(p305,plain,
( ~ spl123
| e1 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef123]) ).
cnf(p1717,plain,
( ~ spl123
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p305]) ).
cnf(p1718,plain,
( ~ spl123
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p1717]) ).
cnf(sct109,plain,
( ~ spl123
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p1718]) ).
fof(sdef93,definition,
( spl93
<=> e0 != op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl93])],[avatar_definition]) ).
cnf(p260,plain,
( ~ spl93
| e0 != op(e3,op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef93]) ).
cnf(p1704,plain,
( ~ spl93
| ~ spl61
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p77,p260]) ).
cnf(p1759,plain,
( ~ spl93
| ~ spl61
| ~ spl52
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p1704]) ).
cnf(p1760,plain,
( ~ spl93
| ~ spl61
| ~ spl52
| $false ),
inference(equality_resolution,[status(thm)],[p1759]) ).
cnf(sct110,plain,
( ~ spl93
| ~ spl61
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p1760]) ).
fof(sdef96,definition,
( spl96
<=> e0 != op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl96])],[avatar_definition]) ).
cnf(p264,plain,
( ~ spl96
| e0 != op(e2,op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef96]) ).
cnf(p1711,plain,
( ~ spl96
| ~ spl43
| e0 != op(e2,e3) ),
inference(superposition,[status(thm)],[p54,p264]) ).
cnf(p1761,plain,
( ~ spl96
| ~ spl44
| ~ spl43
| e0 != e0 ),
inference(superposition,[status(thm)],[p56,p1711]) ).
cnf(p1763,plain,
( ~ spl96
| ~ spl44
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p1761]) ).
cnf(sct111,plain,
( ~ spl96
| ~ spl44
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p1763]) ).
fof(sdef120,definition,
( spl120
<=> e2 != op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl120])],[avatar_definition]) ).
cnf(p300,plain,
( ~ spl120
| e2 != op(e1,op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef120]) ).
cnf(p1739,plain,
( ~ spl120
| ~ spl23
| e2 != op(e1,e3) ),
inference(superposition,[status(thm)],[p29,p300]) ).
cnf(p1769,plain,
( ~ spl120
| ~ spl30
| ~ spl23
| e2 != e2 ),
inference(superposition,[status(thm)],[p38,p1739]) ).
cnf(p1770,plain,
( ~ spl120
| ~ spl30
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p1769]) ).
cnf(sct112,plain,
( ~ spl120
| ~ spl30
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p1770]) ).
fof(sdef122,definition,
( spl122
<=> e2 != op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl122])],[avatar_definition]) ).
cnf(p304,plain,
( ~ spl122
| e2 != op(e0,op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef122]) ).
cnf(p1741,plain,
( ~ spl122
| ~ spl1
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p2,p304]) ).
cnf(p1771,plain,
( ~ spl122
| ~ spl6
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p1741]) ).
cnf(p1772,plain,
( ~ spl122
| ~ spl6
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p1771]) ).
cnf(sct113,plain,
( ~ spl122
| ~ spl6
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p1772]) ).
fof(sdef95,definition,
( spl95
<=> e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(p262,plain,
( ~ spl95
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef95]) ).
cnf(p1707,plain,
( ~ spl95
| ~ spl61
| e2 != op(op(e3,e1),e1) ),
inference(superposition,[status(thm)],[p77,p262]) ).
cnf(p1762,plain,
( ~ spl95
| ~ spl61
| ~ spl52
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p66,p1707]) ).
cnf(p1775,plain,
( ~ spl95
| ~ spl61
| ~ spl52
| ~ spl6
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p1762]) ).
cnf(p1776,plain,
( ~ spl95
| ~ spl61
| ~ spl52
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p1775]) ).
cnf(sct114,plain,
( ~ spl95
| ~ spl61
| ~ spl52
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1776]) ).
fof(sdef79,definition,
( spl79
<=> op(e0,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(p194,plain,
( ~ spl79
| op(e0,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(p1636,plain,
( ~ spl79
| ~ spl15
| e3 != e0 ),
inference(superposition,[status(thm)],[p19,p194]) ).
cnf(p1809,plain,
( ~ spl79
| ~ spl63
| ~ spl60
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p1178,p1636]) ).
cnf(sct115,plain,
( ~ spl79
| ~ spl63
| ~ spl60
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p1809]) ).
fof(sdef121,definition,
( spl121
<=> e0 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl121])],[avatar_definition]) ).
cnf(p301,plain,
( ~ spl121
| e0 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef121]) ).
cnf(p1812,plain,
( ~ spl121
| ~ spl20
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p301]) ).
cnf(p1821,plain,
( ~ spl121
| ~ spl20
| $false ),
inference(equality_resolution,[status(thm)],[p1812]) ).
cnf(sct116,plain,
( ~ spl121
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1821]) ).
fof(sdef97,definition,
( spl97
<=> e1 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p265,plain,
( ~ spl97
| e1 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
cnf(p1835,plain,
( ~ spl97
| ~ spl41
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p265]) ).
cnf(p1843,plain,
( ~ spl97
| ~ spl41
| $false ),
inference(equality_resolution,[status(thm)],[p1835]) ).
cnf(sct117,plain,
( ~ spl97
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p1843]) ).
fof(sdef89,definition,
( spl89
<=> op(e2,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(p236,plain,
( ~ spl89
| op(e2,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef89]) ).
cnf(p1844,plain,
( ~ spl89
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p58,p236]) ).
cnf(sct118,plain,
( ~ spl89
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p1844]) ).
fof(sdef92,definition,
( spl92
<=> op(e3,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p251,plain,
( ~ spl92
| op(e3,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
cnf(p1856,plain,
( ~ spl92
| ~ spl59
| $false ),
inference(resolution,[status(thm)],[p74,p251]) ).
cnf(sct119,plain,
( ~ spl92
| ~ spl59 ),
inference(avatar_contradiction_clause,[status(thm)],[p1856]) ).
fof(sdef109,definition,
( spl109
<=> e0 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p282,plain,
( ~ spl109
| e0 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
cnf(p1862,plain,
( ~ spl109
| ~ spl60
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p282]) ).
cnf(p1868,plain,
( ~ spl109
| ~ spl60
| $false ),
inference(equality_resolution,[status(thm)],[p1862]) ).
cnf(sct120,plain,
( ~ spl109
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p1868]) ).
fof(sdef115,definition,
( spl115
<=> e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(p291,plain,
( ~ spl115
| e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p1732,plain,
( ~ spl115
| ~ spl1
| e3 != op(op(e0,e1),e1) ),
inference(superposition,[status(thm)],[p2,p291]) ).
cnf(p1777,plain,
( ~ spl115
| ~ spl6
| ~ spl1
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p8,p1732]) ).
cnf(p1883,plain,
( ~ spl115
| ~ spl39
| ~ spl6
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p1777]) ).
cnf(p1884,plain,
( ~ spl115
| ~ spl39
| ~ spl6
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p1883]) ).
cnf(sct121,plain,
( ~ spl115
| ~ spl39
| ~ spl6
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p1884]) ).
cnf(p1912,plain,
( ~ spl79
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p16,p194]) ).
cnf(sct122,plain,
( ~ spl79
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1912]) ).
fof(sdef76,definition,
( spl76
<=> op(e1,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl76])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl76
| op(e1,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef76]) ).
cnf(p1920,plain,
( ~ spl76
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p28,p188]) ).
cnf(sct123,plain,
( ~ spl76
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p1920]) ).
fof(sdef128,definition,
( spl128
<=> e3 != op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl128])],[avatar_definition]) ).
cnf(p316,plain,
( ~ spl128
| e3 != op(e0,op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef128]) ).
cnf(p1750,plain,
( ~ spl128
| ~ spl1
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p2,p316]) ).
cnf(p1894,plain,
( ~ spl128
| ~ spl7
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p9,p1750]) ).
cnf(p1934,plain,
( ~ spl128
| ~ spl7
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p1894]) ).
cnf(sct124,plain,
( ~ spl128
| ~ spl7
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p1934]) ).
fof(sdef88,definition,
( spl88
<=> op(e2,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
cnf(p227,plain,
( ~ spl88
| op(e2,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p1951,plain,
( ~ spl88
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p48,p227]) ).
cnf(sct125,plain,
( ~ spl88
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p1951]) ).
cnf(p735,plain,
( ~ spl54
| ~ spl53
| e1 = e2 ),
inference(superposition,[status(thm)],[p67,p68]) ).
cnf(p1972,plain,
( ~ spl54
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p735,c99]) ).
cnf(sct126,plain,
( ~ spl54
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p1972]) ).
fof(sdef80,definition,
( spl80
<=> op(e0,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p195,plain,
( ~ spl80
| op(e0,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
cnf(p1980,plain,
( ~ spl80
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p4,p195]) ).
cnf(sct127,plain,
( ~ spl80
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1980]) ).
fof(sdef117,definition,
( spl117
<=> e3 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl117])],[avatar_definition]) ).
cnf(p295,plain,
( ~ spl117
| e3 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef117]) ).
cnf(p1981,plain,
( ~ spl117
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p295]) ).
cnf(p1991,plain,
( ~ spl117
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p1981]) ).
cnf(sct128,plain,
( ~ spl117
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p1991]) ).
fof(sdef84,definition,
( spl84
<=> op(e1,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(p203,plain,
( ~ spl84
| op(e1,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef84]) ).
cnf(p1997,plain,
( ~ spl84
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p22,p203]) ).
cnf(sct129,plain,
( ~ spl84
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1997]) ).
fof(sdef110,definition,
( spl110
<=> e1 != op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p284,plain,
( ~ spl110
| e1 != op(e2,op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
cnf(p1727,plain,
( ~ spl110
| ~ spl43
| e1 != op(e2,e3) ),
inference(superposition,[status(thm)],[p54,p284]) ).
cnf(p2006,plain,
( ~ spl110
| ~ spl45
| ~ spl43
| e1 != e1 ),
inference(superposition,[status(thm)],[p57,p1727]) ).
cnf(p2008,plain,
( ~ spl110
| ~ spl45
| ~ spl43
| $false ),
inference(equality_resolution,[status(thm)],[p2006]) ).
cnf(sct130,plain,
( ~ spl110
| ~ spl45
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p2008]) ).
fof(sdef91,definition,
( spl91
<=> op(e3,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(p246,plain,
( ~ spl91
| op(e3,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef91]) ).
cnf(p2016,plain,
( ~ spl91
| ~ spl55
| $false ),
inference(resolution,[status(thm)],[p69,p246]) ).
cnf(sct131,plain,
( ~ spl91
| ~ spl55 ),
inference(avatar_contradiction_clause,[status(thm)],[p2016]) ).
cnf(p1816,plain,
( ~ spl120
| ~ spl20
| e2 != op(e1,e0) ),
inference(superposition,[status(thm)],[p26,p300]) ).
cnf(p2028,plain,
( ~ spl120
| ~ spl20
| ~ spl18
| e2 != e2 ),
inference(superposition,[status(thm)],[p23,p1816]) ).
cnf(p2029,plain,
( ~ spl120
| ~ spl20
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2028]) ).
cnf(sct132,plain,
( ~ spl120
| ~ spl20
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2029]) ).
fof(sdef108,definition,
( spl108
<=> e1 != op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p281,plain,
( ~ spl108
| e1 != op(e3,op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
cnf(p1864,plain,
( ~ spl108
| ~ spl60
| e1 != op(e3,e0) ),
inference(superposition,[status(thm)],[p76,p281]) ).
cnf(p2032,plain,
( ~ spl108
| ~ spl60
| ~ spl49
| e1 != e1 ),
inference(superposition,[status(thm)],[p62,p1864]) ).
cnf(p2033,plain,
( ~ spl108
| ~ spl60
| ~ spl49
| $false ),
inference(equality_resolution,[status(thm)],[p2032]) ).
cnf(sct133,plain,
( ~ spl108
| ~ spl60
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p2033]) ).
cnf(p1986,plain,
( ~ spl122
| ~ spl3
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p4,p304]) ).
cnf(p2038,plain,
( ~ spl122
| ~ spl14
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p1986]) ).
cnf(p2039,plain,
( ~ spl122
| ~ spl14
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2038]) ).
cnf(sct134,plain,
( ~ spl122
| ~ spl14
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2039]) ).
fof(sdef98,definition,
( spl98
<=> e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl98])],[avatar_definition]) ).
cnf(p266,plain,
( ~ spl98
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef98]) ).
cnf(p1714,plain,
( ~ spl98
| ~ spl43
| e3 != op(op(e2,e3),e3) ),
inference(superposition,[status(thm)],[p54,p266]) ).
cnf(p2005,plain,
( ~ spl98
| ~ spl45
| ~ spl43
| e3 != op(e1,e3) ),
inference(superposition,[status(thm)],[p57,p1714]) ).
cnf(p2041,plain,
( ~ spl98
| ~ spl45
| ~ spl43
| ~ spl31
| e3 != e3 ),
inference(superposition,[status(thm)],[p39,p2005]) ).
cnf(p2042,plain,
( ~ spl98
| ~ spl45
| ~ spl43
| ~ spl31
| $false ),
inference(equality_resolution,[status(thm)],[p2041]) ).
cnf(sct135,plain,
( ~ spl98
| ~ spl45
| ~ spl43
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p2042]) ).
fof(sdef124,definition,
( spl124
<=> e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl124])],[avatar_definition]) ).
cnf(p307,plain,
( ~ spl124
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef124]) ).
cnf(p1818,plain,
( ~ spl124
| ~ spl20
| e0 != op(op(e1,e0),e0) ),
inference(superposition,[status(thm)],[p26,p307]) ).
cnf(p2031,plain,
( ~ spl124
| ~ spl20
| ~ spl18
| e0 != op(e2,e0) ),
inference(superposition,[status(thm)],[p23,p1818]) ).
cnf(p2046,plain,
( ~ spl124
| ~ spl32
| ~ spl20
| ~ spl18
| e0 != e0 ),
inference(superposition,[status(thm)],[p41,p2031]) ).
cnf(p2047,plain,
( ~ spl124
| ~ spl32
| ~ spl20
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2046]) ).
cnf(sct136,plain,
( ~ spl124
| ~ spl32
| ~ spl20
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2047]) ).
cnf(p1861,plain,
( ~ spl95
| ~ spl60
| e2 != op(op(e3,e0),e0) ),
inference(superposition,[status(thm)],[p76,p262]) ).
cnf(p2035,plain,
( ~ spl95
| ~ spl60
| ~ spl49
| e2 != op(e1,e0) ),
inference(superposition,[status(thm)],[p62,p1861]) ).
cnf(p2048,plain,
( ~ spl95
| ~ spl60
| ~ spl49
| ~ spl18
| e2 != e2 ),
inference(superposition,[status(thm)],[p23,p2035]) ).
cnf(p2049,plain,
( ~ spl95
| ~ spl60
| ~ spl49
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2048]) ).
cnf(sct137,plain,
( ~ spl95
| ~ spl60
| ~ spl49
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2049]) ).
fof(sdef101,definition,
( spl101
<=> e0 != op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p271,plain,
( ~ spl101
| e0 != op(e1,op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
cnf(p1719,plain,
( ~ spl101
| ~ spl23
| e0 != op(e1,e3) ),
inference(superposition,[status(thm)],[p29,p271]) ).
cnf(p2054,plain,
( ~ spl101
| ~ spl28
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p36,p1719]) ).
cnf(p2060,plain,
( ~ spl101
| ~ spl28
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2054]) ).
cnf(sct138,plain,
( ~ spl101
| ~ spl28
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2060]) ).
fof(sdef119,definition,
( spl119
<=> e2 != op(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl119])],[avatar_definition]) ).
cnf(p298,plain,
( ~ spl119
| e2 != op(e3,op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef119]) ).
cnf(p1738,plain,
( ~ spl119
| ~ spl61
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p77,p298]) ).
cnf(p2084,plain,
( ~ spl119
| ~ spl61
| ~ spl54
| e2 != e2 ),
inference(superposition,[status(thm)],[p68,p1738]) ).
cnf(p2087,plain,
( ~ spl119
| ~ spl61
| ~ spl54
| $false ),
inference(equality_resolution,[status(thm)],[p2084]) ).
cnf(sct139,plain,
( ~ spl119
| ~ spl61
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p2087]) ).
cnf(p1837,plain,
( ~ spl96
| ~ spl41
| e0 != op(e2,e1) ),
inference(superposition,[status(thm)],[p52,p264]) ).
cnf(p2090,plain,
( ~ spl96
| ~ spl41
| ~ spl36
| e0 != e0 ),
inference(superposition,[status(thm)],[p46,p1837]) ).
cnf(p2091,plain,
( ~ spl96
| ~ spl41
| ~ spl36
| $false ),
inference(equality_resolution,[status(thm)],[p2090]) ).
cnf(sct140,plain,
( ~ spl96
| ~ spl41
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2091]) ).
cnf(p1983,plain,
( ~ spl115
| ~ spl3
| e3 != op(op(e0,e3),e3) ),
inference(superposition,[status(thm)],[p4,p291]) ).
cnf(p2059,plain,
( ~ spl115
| ~ spl14
| ~ spl3
| e3 != op(e2,e3) ),
inference(superposition,[status(thm)],[p18,p1983]) ).
cnf(p2096,plain,
( ~ spl115
| ~ spl47
| ~ spl14
| ~ spl3
| e3 != e3 ),
inference(superposition,[status(thm)],[p59,p2059]) ).
cnf(p2098,plain,
( ~ spl115
| ~ spl47
| ~ spl14
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2096]) ).
cnf(sct141,plain,
( ~ spl115
| ~ spl47
| ~ spl14
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2098]) ).
fof(sdef107,definition,
( spl107
<=> e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p279,plain,
( ~ spl107
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
cnf(p1723,plain,
( ~ spl107
| ~ spl23
| e2 != op(op(e1,e3),e3) ),
inference(superposition,[status(thm)],[p29,p279]) ).
cnf(p2089,plain,
( ~ spl107
| ~ spl28
| ~ spl23
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p36,p1723]) ).
cnf(p2104,plain,
( ~ spl107
| ~ spl28
| ~ spl23
| ~ spl14
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p2089]) ).
cnf(p2105,plain,
( ~ spl107
| ~ spl28
| ~ spl23
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p2104]) ).
cnf(sct142,plain,
( ~ spl107
| ~ spl28
| ~ spl23
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p2105]) ).
fof(sdef113,definition,
( spl113
<=> e1 != op(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(p289,plain,
( ~ spl113
| e1 != op(e0,op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
cnf(p1982,plain,
( ~ spl113
| ~ spl3
| e1 != op(e0,e3) ),
inference(superposition,[status(thm)],[p4,p289]) ).
cnf(p2118,plain,
( ~ spl113
| ~ spl13
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p17,p1982]) ).
cnf(p2125,plain,
( ~ spl113
| ~ spl13
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2118]) ).
cnf(sct143,plain,
( ~ spl113
| ~ spl13
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2125]) ).
fof(sdef78,definition,
( spl78
<=> op(e3,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl78])],[avatar_definition]) ).
cnf(p192,plain,
( ~ spl78
| op(e3,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef78]) ).
cnf(p2127,plain,
( ~ spl78
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p78,p192]) ).
cnf(sct144,plain,
( ~ spl78
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p2127]) ).
fof(sdef83,definition,
( spl83
<=> op(e3,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(p201,plain,
( ~ spl83
| op(e3,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef83]) ).
cnf(p2138,plain,
( ~ spl83
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p79,p201]) ).
cnf(sct145,plain,
( ~ spl83
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p2138]) ).
cnf(p1907,plain,
( ~ spl14
| ~ spl12
| e2 = e0 ),
inference(superposition,[status(thm)],[p18,p16]) ).
fof(sdef102,definition,
( spl102
<=> e2 != op(e1,e1) ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p272,plain,
( ~ spl102
| e2 != op(e1,e1) ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
cnf(p1810,plain,
( ~ spl102
| ~ spl20
| e2 != e0 ),
inference(superposition,[status(thm)],[p26,p272]) ).
cnf(p2187,plain,
( ~ spl102
| ~ spl20
| ~ spl14
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p1907,p1810]) ).
cnf(sct146,plain,
( ~ spl102
| ~ spl20
| ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p2187]) ).
fof(sdef103,definition,
( spl103
<=> e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p273,plain,
( ~ spl103
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
cnf(p1814,plain,
( ~ spl103
| ~ spl20
| e3 != op(op(e1,e0),e0) ),
inference(superposition,[status(thm)],[p26,p273]) ).
cnf(p2027,plain,
( ~ spl103
| ~ spl20
| ~ spl18
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p23,p1814]) ).
cnf(p2255,plain,
( ~ spl103
| ~ spl35
| ~ spl20
| ~ spl18
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p2027]) ).
cnf(p2257,plain,
( ~ spl103
| ~ spl35
| ~ spl20
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p2255]) ).
cnf(sct147,plain,
( ~ spl103
| ~ spl35
| ~ spl20
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2257]) ).
cnf(p977,plain,
( ~ spl66
| ~ spl22
| e2 != e0 ),
inference(superposition,[status(thm)],[p28,p170]) ).
cnf(p2258,plain,
( ~ spl66
| ~ spl22
| ~ spl14
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p977,p1907]) ).
cnf(sct148,plain,
( ~ spl66
| ~ spl22
| ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p2258]) ).
cnf(p2260,plain,
( ~ spl67
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p51,p172]) ).
cnf(sct149,plain,
( ~ spl67
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2260]) ).
cnf(p2266,plain,
( ~ spl102
| ~ spl22
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p272]) ).
cnf(p2275,plain,
( ~ spl102
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2266]) ).
cnf(sct150,plain,
( ~ spl102
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2275]) ).
fof(sdef99,definition,
( spl99
<=> e2 != op(e3,e3) ),
introduced(definition,[new_symbols(naming,[spl99])],[avatar_definition]) ).
cnf(p268,plain,
( ~ spl99
| e2 != op(e3,e3) ),
inference(avatar_component_clause,[status(thm)],[sdef99]) ).
cnf(p2288,plain,
( ~ spl99
| ~ spl62
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p268]) ).
cnf(p2296,plain,
( ~ spl99
| ~ spl62
| $false ),
inference(equality_resolution,[status(thm)],[p2288]) ).
cnf(sct151,plain,
( ~ spl99
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p2296]) ).
fof(sdef125,definition,
( spl125
<=> e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl125])],[avatar_definition]) ).
cnf(p309,plain,
( ~ spl125
| e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef125]) ).
cnf(p1745,plain,
( ~ spl125
| ~ spl1
| e1 != op(op(e0,e1),e1) ),
inference(superposition,[status(thm)],[p2,p309]) ).
cnf(p1896,plain,
( ~ spl125
| ~ spl7
| ~ spl1
| e1 != op(e3,e1) ),
inference(superposition,[status(thm)],[p9,p1745]) ).
cnf(p2304,plain,
( ~ spl125
| ~ spl53
| ~ spl7
| ~ spl1
| e1 != e1 ),
inference(superposition,[status(thm)],[p67,p1896]) ).
cnf(p2305,plain,
( ~ spl125
| ~ spl53
| ~ spl7
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p2304]) ).
cnf(sct152,plain,
( ~ spl125
| ~ spl53
| ~ spl7
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2305]) ).
cnf(p1838,plain,
( ~ spl98
| ~ spl41
| e3 != op(op(e2,e1),e1) ),
inference(superposition,[status(thm)],[p52,p266]) ).
cnf(p2099,plain,
( ~ spl98
| ~ spl41
| ~ spl36
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p46,p1838]) ).
cnf(p2309,plain,
( ~ spl98
| ~ spl41
| ~ spl36
| ~ spl7
| e3 != e3 ),
inference(superposition,[status(thm)],[p9,p2099]) ).
cnf(p2310,plain,
( ~ spl98
| ~ spl41
| ~ spl36
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p2309]) ).
cnf(sct153,plain,
( ~ spl98
| ~ spl41
| ~ spl36
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p2310]) ).
cnf(p2193,plain,
( ~ spl11
| ~ spl10
| e3 = e2 ),
inference(superposition,[status(thm)],[p14,p13]) ).
cnf(p2200,plain,
( ~ spl11
| ~ spl10
| e2 != e2 ),
inference(superposition,[status(thm)],[p2193,c101]) ).
cnf(p2311,plain,
( ~ spl11
| ~ spl10
| $false ),
inference(equality_resolution,[status(thm)],[p2200]) ).
cnf(sct154,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p2311]) ).
cnf(p2313,plain,
( ~ spl11
| ~ spl9
| e3 = e1 ),
inference(superposition,[status(thm)],[p14,p12]) ).
cnf(p1650,plain,
( ~ spl84
| ~ spl19
| e3 != e1 ),
inference(superposition,[status(thm)],[p24,p203]) ).
cnf(p2346,plain,
( ~ spl84
| ~ spl19
| ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p2313,p1650]) ).
cnf(sct155,plain,
( ~ spl84
| ~ spl19
| ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2346]) ).
fof(sdef114,definition,
( spl114
<=> e2 != op(e0,e0) ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(p290,plain,
( ~ spl114
| e2 != op(e0,e0) ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
cnf(p2347,plain,
( ~ spl114
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p290]) ).
cnf(p2357,plain,
( ~ spl114
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2347]) ).
cnf(sct156,plain,
( ~ spl114
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2357]) ).
fof(sdef127,definition,
( spl127
<=> e3 != op(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(naming,[spl127])],[avatar_definition]) ).
cnf(p313,plain,
( ~ spl127
| e3 != op(e1,op(e1,e1)) ),
inference(avatar_component_clause,[status(thm)],[sdef127]) ).
cnf(p1819,plain,
( ~ spl127
| ~ spl20
| e3 != op(e1,e0) ),
inference(superposition,[status(thm)],[p26,p313]) ).
cnf(p2366,plain,
( ~ spl127
| ~ spl20
| ~ spl19
| e3 != e3 ),
inference(superposition,[status(thm)],[p24,p1819]) ).
cnf(p2369,plain,
( ~ spl127
| ~ spl20
| ~ spl19
| $false ),
inference(equality_resolution,[status(thm)],[p2366]) ).
cnf(sct157,plain,
( ~ spl127
| ~ spl20
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2369]) ).
fof(sdef111,definition,
( spl111
<=> e0 != op(e2,e2) ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(p285,plain,
( ~ spl111
| e0 != op(e2,e2) ),
inference(avatar_component_clause,[status(thm)],[sdef111]) ).
cnf(p2386,plain,
( ~ spl111
| ~ spl40
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p285]) ).
cnf(p2394,plain,
( ~ spl111
| ~ spl40
| $false ),
inference(equality_resolution,[status(thm)],[p2386]) ).
cnf(sct158,plain,
( ~ spl111
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2394]) ).
cnf(p2291,plain,
( ~ spl108
| ~ spl62
| e1 != op(e3,e2) ),
inference(superposition,[status(thm)],[p78,p281]) ).
cnf(p2399,plain,
( ~ spl108
| ~ spl62
| ~ spl57
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p2291]) ).
cnf(p2400,plain,
( ~ spl108
| ~ spl62
| ~ spl57
| $false ),
inference(equality_resolution,[status(thm)],[p2399]) ).
cnf(sct159,plain,
( ~ spl108
| ~ spl62
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p2400]) ).
cnf(p2353,plain,
( ~ spl128
| ~ spl2
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p3,p316]) ).
cnf(p2403,plain,
( ~ spl128
| ~ spl11
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p14,p2353]) ).
cnf(p2404,plain,
( ~ spl128
| ~ spl11
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2403]) ).
cnf(sct160,plain,
( ~ spl128
| ~ spl11
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2404]) ).
cnf(p2367,plain,
( ~ spl124
| ~ spl20
| ~ spl19
| e0 != op(e3,e0) ),
inference(superposition,[status(thm)],[p24,p1818]) ).
cnf(p2407,plain,
( ~ spl124
| ~ spl48
| ~ spl20
| ~ spl19
| e0 != e0 ),
inference(superposition,[status(thm)],[p61,p2367]) ).
cnf(p2408,plain,
( ~ spl124
| ~ spl48
| ~ spl20
| ~ spl19
| $false ),
inference(equality_resolution,[status(thm)],[p2407]) ).
cnf(sct161,plain,
( ~ spl124
| ~ spl48
| ~ spl20
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p2408]) ).
cnf(p2389,plain,
( ~ spl110
| ~ spl40
| e1 != op(e2,e0) ),
inference(superposition,[status(thm)],[p51,p284]) ).
cnf(p2411,plain,
( ~ spl110
| ~ spl40
| ~ spl33
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p2389]) ).
cnf(p2412,plain,
( ~ spl110
| ~ spl40
| ~ spl33
| $false ),
inference(equality_resolution,[status(thm)],[p2411]) ).
cnf(sct162,plain,
( ~ spl110
| ~ spl40
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p2412]) ).
cnf(p2289,plain,
( ~ spl95
| ~ spl62
| e2 != op(op(e3,e2),e2) ),
inference(superposition,[status(thm)],[p78,p262]) ).
cnf(p2397,plain,
( ~ spl95
| ~ spl62
| ~ spl57
| e2 != op(e1,e2) ),
inference(superposition,[status(thm)],[p72,p2289]) ).
cnf(p2415,plain,
( ~ spl95
| ~ spl62
| ~ spl57
| ~ spl26
| e2 != e2 ),
inference(superposition,[status(thm)],[p33,p2397]) ).
cnf(p2416,plain,
( ~ spl95
| ~ spl62
| ~ spl57
| ~ spl26
| $false ),
inference(equality_resolution,[status(thm)],[p2415]) ).
cnf(sct163,plain,
( ~ spl95
| ~ spl62
| ~ spl57
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p2416]) ).
cnf(p2352,plain,
( ~ spl125
| ~ spl2
| e1 != op(op(e0,e2),e2) ),
inference(superposition,[status(thm)],[p3,p309]) ).
cnf(p2413,plain,
( ~ spl125
| ~ spl11
| ~ spl2
| e1 != op(e3,e2) ),
inference(superposition,[status(thm)],[p14,p2352]) ).
cnf(p2420,plain,
( ~ spl125
| ~ spl57
| ~ spl11
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p2413]) ).
cnf(p2421,plain,
( ~ spl125
| ~ spl57
| ~ spl11
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2420]) ).
cnf(sct164,plain,
( ~ spl125
| ~ spl57
| ~ spl11
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2421]) ).
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/sandbox/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(c92,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1674,plain,
( ~ spl61
| op(e3,e0) != e1 ),
inference(superposition,[status(thm)],[p77,c92]) ).
cnf(p1756,plain,
( ~ spl61
| ~ spl51
| e3 != e1 ),
inference(superposition,[status(thm)],[p64,p1674]) ).
cnf(p2436,plain,
( ~ spl61
| ~ spl51
| ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p1756,p2313]) ).
cnf(sct165,plain,
( ~ spl61
| ~ spl51
| ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p2436]) ).
fof(sdef126,definition,
( spl126
<=> e3 != op(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl126])],[avatar_definition]) ).
cnf(p311,plain,
( ~ spl126
| e3 != op(e2,op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef126]) ).
cnf(p1842,plain,
( ~ spl126
| ~ spl41
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p52,p311]) ).
cnf(p2433,plain,
( ~ spl126
| ~ spl41
| ~ spl39
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p1842]) ).
cnf(p2437,plain,
( ~ spl126
| ~ spl41
| ~ spl39
| $false ),
inference(equality_resolution,[status(thm)],[p2433]) ).
cnf(sct166,plain,
( ~ spl126
| ~ spl41
| ~ spl39 ),
inference(avatar_contradiction_clause,[status(thm)],[p2437]) ).
fof(sdef118,definition,
( spl118
<=> e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(definition,[new_symbols(naming,[spl118])],[avatar_definition]) ).
cnf(p296,plain,
( ~ spl118
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(avatar_component_clause,[status(thm)],[sdef118]) ).
cnf(p2351,plain,
( ~ spl118
| ~ spl2
| e2 != op(op(e0,e2),e2) ),
inference(superposition,[status(thm)],[p3,p296]) ).
cnf(p2410,plain,
( ~ spl118
| ~ spl11
| ~ spl2
| e2 != op(e3,e2) ),
inference(superposition,[status(thm)],[p14,p2351]) ).
cnf(p2447,plain,
( ~ spl118
| ~ spl58
| ~ spl11
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p73,p2410]) ).
cnf(p2448,plain,
( ~ spl118
| ~ spl58
| ~ spl11
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2447]) ).
cnf(sct167,plain,
( ~ spl118
| ~ spl58
| ~ spl11
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2448]) ).
fof(sdef100,definition,
( spl100
<=> e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p269,plain,
( ~ spl100
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
cnf(p1716,plain,
( ~ spl100
| ~ spl61
| e1 != op(op(e3,e1),e1) ),
inference(superposition,[status(thm)],[p77,p269]) ).
cnf(p1768,plain,
( ~ spl100
| ~ spl61
| ~ spl52
| e1 != op(e0,e1) ),
inference(superposition,[status(thm)],[p66,p1716]) ).
cnf(p2450,plain,
( ~ spl100
| ~ spl61
| ~ spl52
| ~ spl5
| e1 != e1 ),
inference(superposition,[status(thm)],[p7,p1768]) ).
cnf(p2451,plain,
( ~ spl100
| ~ spl61
| ~ spl52
| ~ spl5
| $false ),
inference(equality_resolution,[status(thm)],[p2450]) ).
cnf(sct168,plain,
( ~ spl100
| ~ spl61
| ~ spl52
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p2451]) ).
cnf(p2259,plain,
( ~ spl101
| ~ spl22
| e0 != op(e1,e2) ),
inference(superposition,[status(thm)],[p28,p271]) ).
cnf(p2452,plain,
( ~ spl101
| ~ spl24
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p31,p2259]) ).
cnf(p2453,plain,
( ~ spl101
| ~ spl24
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2452]) ).
cnf(sct169,plain,
( ~ spl101
| ~ spl24
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2453]) ).
fof(sdef116,definition,
( spl116
<=> e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl116])],[avatar_definition]) ).
cnf(p293,plain,
( ~ spl116
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(avatar_component_clause,[status(thm)],[sdef116]) ).
cnf(p1841,plain,
( ~ spl116
| ~ spl41
| e0 != op(op(e2,e1),e1) ),
inference(superposition,[status(thm)],[p52,p293]) ).
cnf(p2435,plain,
( ~ spl116
| ~ spl41
| ~ spl39
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p49,p1841]) ).
cnf(p2456,plain,
( ~ spl116
| ~ spl52
| ~ spl41
| ~ spl39
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p2435]) ).
cnf(p2457,plain,
( ~ spl116
| ~ spl52
| ~ spl41
| ~ spl39
| $false ),
inference(equality_resolution,[status(thm)],[p2456]) ).
cnf(sct170,plain,
( ~ spl116
| ~ spl52
| ~ spl41
| ~ spl39 ),
inference(avatar_contradiction_clause,[status(thm)],[p2457]) ).
cnf(p973,plain,
( ~ spl64
| ~ spl2
| e2 != e0 ),
inference(superposition,[status(thm)],[p3,p167]) ).
cnf(p2463,plain,
( ~ spl64
| ~ spl22
| ~ spl20
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p1010,p973]) ).
cnf(sct171,plain,
( ~ spl64
| ~ spl22
| ~ spl20
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2463]) ).
cnf(p1303,plain,
( ~ spl7
| ~ spl4
| e3 = e0 ),
inference(superposition,[status(thm)],[p9,p6]) ).
cnf(p2492,plain,
( ~ spl79
| ~ spl15
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p1303,p1636]) ).
cnf(sct172,plain,
( ~ spl79
| ~ spl15
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2492]) ).
cnf(p2349,plain,
( ~ spl113
| ~ spl2
| e1 != op(e0,e2) ),
inference(superposition,[status(thm)],[p3,p289]) ).
cnf(p2493,plain,
( ~ spl113
| ~ spl9
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p12,p2349]) ).
cnf(p2498,plain,
( ~ spl113
| ~ spl9
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2493]) ).
cnf(sct173,plain,
( ~ spl113
| ~ spl9
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2498]) ).
cnf(p2271,plain,
( ~ spl127
| ~ spl22
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p28,p313]) ).
cnf(p2509,plain,
( ~ spl127
| ~ spl27
| ~ spl22
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p2271]) ).
cnf(p2510,plain,
( ~ spl127
| ~ spl27
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p2509]) ).
cnf(sct174,plain,
( ~ spl127
| ~ spl27
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2510]) ).
cnf(p2391,plain,
( ~ spl126
| ~ spl40
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p51,p311]) ).
cnf(p2513,plain,
( ~ spl126
| ~ spl40
| ~ spl35
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p2391]) ).
cnf(p2515,plain,
( ~ spl126
| ~ spl40
| ~ spl35
| $false ),
inference(equality_resolution,[status(thm)],[p2513]) ).
cnf(sct175,plain,
( ~ spl126
| ~ spl40
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p2515]) ).
fof(sdef112,definition,
( spl112
<=> e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(p287,plain,
( ~ spl112
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(avatar_component_clause,[status(thm)],[sdef112]) ).
cnf(p1866,plain,
( ~ spl112
| ~ spl60
| e0 != op(op(e3,e0),e0) ),
inference(superposition,[status(thm)],[p76,p287]) ).
cnf(p2040,plain,
( ~ spl112
| ~ spl60
| ~ spl49
| e0 != op(e1,e0) ),
inference(superposition,[status(thm)],[p62,p1866]) ).
cnf(p2518,plain,
( ~ spl112
| ~ spl60
| ~ spl49
| ~ spl16
| e0 != e0 ),
inference(superposition,[status(thm)],[p21,p2040]) ).
cnf(p2519,plain,
( ~ spl112
| ~ spl60
| ~ spl49
| ~ spl16
| $false ),
inference(equality_resolution,[status(thm)],[p2518]) ).
cnf(sct176,plain,
( ~ spl112
| ~ spl60
| ~ spl49
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2519]) ).
cnf(p2350,plain,
( ~ spl115
| ~ spl2
| e3 != op(op(e0,e2),e2) ),
inference(superposition,[status(thm)],[p3,p291]) ).
cnf(p2496,plain,
( ~ spl115
| ~ spl9
| ~ spl2
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p12,p2350]) ).
cnf(p2521,plain,
( ~ spl115
| ~ spl27
| ~ spl9
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p2496]) ).
cnf(p2522,plain,
( ~ spl115
| ~ spl27
| ~ spl9
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2521]) ).
cnf(sct177,plain,
( ~ spl115
| ~ spl27
| ~ spl9
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2522]) ).
cnf(p337,plain,
( ~ spl6
| ~ spl4
| e2 = e0 ),
inference(superposition,[status(thm)],[p8,p6]) ).
cnf(p2533,plain,
( ~ spl64
| ~ spl6
| ~ spl4
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p337,p973]) ).
cnf(sct178,plain,
( ~ spl64
| ~ spl6
| ~ spl4
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2533]) ).
cnf(p2497,plain,
( ~ spl118
| ~ spl9
| ~ spl2
| e2 != op(e1,e2) ),
inference(superposition,[status(thm)],[p12,p2351]) ).
cnf(p2534,plain,
( ~ spl118
| ~ spl26
| ~ spl9
| ~ spl2
| e2 != e2 ),
inference(superposition,[status(thm)],[p33,p2497]) ).
cnf(p2535,plain,
( ~ spl118
| ~ spl26
| ~ spl9
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p2534]) ).
cnf(sct179,plain,
( ~ spl118
| ~ spl26
| ~ spl9
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2535]) ).
cnf(p2287,plain,
( ~ spl93
| ~ spl62
| e0 != op(e3,e2) ),
inference(superposition,[status(thm)],[p78,p260]) ).
cnf(p2545,plain,
( ~ spl93
| ~ spl62
| ~ spl56
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p2287]) ).
cnf(p2552,plain,
( ~ spl93
| ~ spl62
| ~ spl56
| $false ),
inference(equality_resolution,[status(thm)],[p2545]) ).
cnf(sct180,plain,
( ~ spl93
| ~ spl62
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p2552]) ).
cnf(p1734,plain,
( ~ spl116
| ~ spl43
| e0 != op(op(e2,e3),e3) ),
inference(superposition,[status(thm)],[p54,p293]) ).
cnf(p2045,plain,
( ~ spl116
| ~ spl45
| ~ spl43
| e0 != op(e1,e3) ),
inference(superposition,[status(thm)],[p57,p1734]) ).
cnf(p2555,plain,
( ~ spl116
| ~ spl45
| ~ spl43
| ~ spl28
| e0 != e0 ),
inference(superposition,[status(thm)],[p36,p2045]) ).
cnf(p2556,plain,
( ~ spl116
| ~ spl45
| ~ spl43
| ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p2555]) ).
cnf(sct181,plain,
( ~ spl116
| ~ spl45
| ~ spl43
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p2556]) ).
cnf(p1683,plain,
( ~ spl66
| ~ spl23
| e3 != e0 ),
inference(superposition,[status(thm)],[p29,p170]) ).
cnf(p2566,plain,
( ~ spl66
| ~ spl23
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p1303,p1683]) ).
cnf(sct182,plain,
( ~ spl66
| ~ spl23
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2566]) ).
cnf(p1867,plain,
( ~ spl119
| ~ spl60
| e2 != op(e3,e0) ),
inference(superposition,[status(thm)],[p76,p298]) ).
cnf(p2577,plain,
( ~ spl119
| ~ spl60
| ~ spl50
| e2 != e2 ),
inference(superposition,[status(thm)],[p63,p1867]) ).
cnf(p2581,plain,
( ~ spl119
| ~ spl60
| ~ spl50
| $false ),
inference(equality_resolution,[status(thm)],[p2577]) ).
cnf(sct183,plain,
( ~ spl119
| ~ spl60
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p2581]) ).
cnf(p1721,plain,
( ~ spl103
| ~ spl23
| e3 != op(op(e1,e3),e3) ),
inference(superposition,[status(thm)],[p29,p273]) ).
cnf(p1773,plain,
( ~ spl103
| ~ spl30
| ~ spl23
| e3 != op(e2,e3) ),
inference(superposition,[status(thm)],[p38,p1721]) ).
cnf(p2583,plain,
( ~ spl103
| ~ spl47
| ~ spl30
| ~ spl23
| e3 != e3 ),
inference(superposition,[status(thm)],[p59,p1773]) ).
cnf(p2584,plain,
( ~ spl103
| ~ spl47
| ~ spl30
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p2583]) ).
cnf(sct184,plain,
( ~ spl103
| ~ spl47
| ~ spl30
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p2584]) ).
cnf(p1985,plain,
( ~ spl118
| ~ spl3
| e2 != op(op(e0,e3),e3) ),
inference(superposition,[status(thm)],[p4,p296]) ).
cnf(p2121,plain,
( ~ spl118
| ~ spl13
| ~ spl3
| e2 != op(e1,e3) ),
inference(superposition,[status(thm)],[p17,p1985]) ).
cnf(p2586,plain,
( ~ spl118
| ~ spl30
| ~ spl13
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p38,p2121]) ).
cnf(p2587,plain,
( ~ spl118
| ~ spl30
| ~ spl13
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p2586]) ).
cnf(sct185,plain,
( ~ spl118
| ~ spl30
| ~ spl13
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2587]) ).
cnf(p2588,plain,
( ~ spl67
| ~ spl43
| ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p1189,p1303]) ).
cnf(sct186,plain,
( ~ spl67
| ~ spl43
| ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2588]) ).
cnf(p2595,plain,
( ~ spl66
| ~ spl22
| ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p337,p977]) ).
cnf(sct187,plain,
( ~ spl66
| ~ spl22
| ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2595]) ).
cnf(p2292,plain,
( ~ spl112
| ~ spl62
| e0 != op(op(e3,e2),e2) ),
inference(superposition,[status(thm)],[p78,p287]) ).
cnf(p2401,plain,
( ~ spl112
| ~ spl62
| ~ spl57
| e0 != op(e1,e2) ),
inference(superposition,[status(thm)],[p72,p2292]) ).
cnf(p2600,plain,
( ~ spl112
| ~ spl62
| ~ spl57
| ~ spl24
| e0 != e0 ),
inference(superposition,[status(thm)],[p31,p2401]) ).
cnf(p2604,plain,
( ~ spl112
| ~ spl62
| ~ spl57
| ~ spl24
| $false ),
inference(equality_resolution,[status(thm)],[p2600]) ).
cnf(sct188,plain,
( ~ spl112
| ~ spl62
| ~ spl57
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2604]) ).
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/sandbox/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/sandbox/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(e2,e2) != e3
| op(e3,e3) != e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e3 )
& ( op(e0,e0) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e1,e1) != e2
| op(e3,e2) != e3 )
& ( op(e0,e0) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e2,e2) != e1
| op(e3,e1) != e3 )
& ( op(e1,e1) != e1
| op(e3,e1) != e3 )
& ( op(e0,e0) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& ( op(e2,e2) != e0
| op(e3,e0) != e3 )
& ( op(e1,e1) != e0
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e3,e0) != e3 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e1,e1) != e3
| op(e2,e3) != e2 )
& ( op(e0,e0) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e1) != e2
| op(e2,e2) != e2 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2 )
& ( op(e0,e0) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e0
| op(e2,e0) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e1,e1) != e0
| op(e2,e0) != e2 )
& ( op(e0,e0) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1 )
& ( op(e3,e3) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e0,e0) != e2
| op(e1,e2) != e1 )
& ( op(e3,e3) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e1,e0) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1 )
& ( op(e3,e3) != e3
| op(e0,e3) != e0 )
& ( op(e2,e2) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e3,e3) != e2
| op(e0,e2) != e0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0 )
& ( op(e2,e2) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e3,e3) != e0
| op(e0,e0) != e0 )
& ( op(e2,e2) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e3 )
& ( op(e0,e0) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e1,e1) != e2
| op(e3,e2) != e3 )
& ( op(e0,e0) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e2,e2) != e1
| op(e3,e1) != e3 )
& ( op(e1,e1) != e1
| op(e3,e1) != e3 )
& ( op(e0,e0) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& ( op(e2,e2) != e0
| op(e3,e0) != e3 )
& ( op(e1,e1) != e0
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e3,e0) != e3 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e1,e1) != e3
| op(e2,e3) != e2 )
& ( op(e0,e0) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e1) != e2
| op(e2,e2) != e2 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2 )
& ( op(e0,e0) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e0
| op(e2,e0) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e1,e1) != e0
| op(e2,e0) != e2 )
& ( op(e0,e0) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1 )
& ( op(e3,e3) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e0,e0) != e2
| op(e1,e2) != e1 )
& ( op(e3,e3) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e1,e0) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1 )
& ( op(e3,e3) != e3
| op(e0,e3) != e0 )
& ( op(e2,e2) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e3,e3) != e2
| op(e0,e2) != e0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0 )
& ( op(e2,e2) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e3,e3) != e0
| op(e0,e0) != e0 )
& ( op(e2,e2) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ( op(e3,e3) != e3
| op(e3,e3) != e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e3 )
& ( op(e0,e0) != e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e2
| op(e3,e2) != e3 )
& ( op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e1,e1) != e2
| op(e3,e2) != e3 )
& ( op(e0,e0) != e2
| op(e3,e2) != e3 )
& ( op(e3,e3) != e1
| op(e3,e1) != e3 )
& ( op(e2,e2) != e1
| op(e3,e1) != e3 )
& ( op(e1,e1) != e1
| op(e3,e1) != e3 )
& ( op(e0,e0) != e1
| op(e3,e1) != e3 )
& ( op(e3,e3) != e0
| op(e3,e0) != e3 )
& ( op(e2,e2) != e0
| op(e3,e0) != e3 )
& ( op(e1,e1) != e0
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e3,e0) != e3 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2 )
& ( op(e2,e2) != e3
| op(e2,e3) != e2 )
& ( op(e1,e1) != e3
| op(e2,e3) != e2 )
& ( op(e0,e0) != e3
| op(e2,e3) != e2 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2 )
& ( op(e2,e2) != e2
| op(e2,e2) != e2 )
& ( op(e1,e1) != e2
| op(e2,e2) != e2 )
& ( op(e0,e0) != e2
| op(e2,e2) != e2 )
& ( op(e3,e3) != e1
| op(e2,e1) != e2 )
& ( op(e2,e2) != e1
| op(e2,e1) != e2 )
& ( op(e1,e1) != e1
| op(e2,e1) != e2 )
& ( op(e0,e0) != e1
| op(e2,e1) != e2 )
& ( op(e3,e3) != e0
| op(e2,e0) != e2 )
& ( op(e2,e2) != e0
| op(e2,e0) != e2 )
& ( op(e1,e1) != e0
| op(e2,e0) != e2 )
& ( op(e0,e0) != e0
| op(e2,e0) != e2 )
& ( op(e3,e3) != e3
| op(e1,e3) != e1 )
& ( op(e2,e2) != e3
| op(e1,e3) != e1 )
& ( op(e1,e1) != e3
| op(e1,e3) != e1 )
& ( op(e0,e0) != e3
| op(e1,e3) != e1 )
& ( op(e3,e3) != e2
| op(e1,e2) != e1 )
& ( op(e2,e2) != e2
| op(e1,e2) != e1 )
& ( op(e1,e1) != e2
| op(e1,e2) != e1 )
& ( op(e0,e0) != e2
| op(e1,e2) != e1 )
& ( op(e3,e3) != e1
| op(e1,e1) != e1 )
& ( op(e2,e2) != e1
| op(e1,e1) != e1 )
& ( op(e1,e1) != e1
| op(e1,e1) != e1 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1 )
& ( op(e3,e3) != e0
| op(e1,e0) != e1 )
& ( op(e2,e2) != e0
| op(e1,e0) != e1 )
& ( op(e1,e1) != e0
| op(e1,e0) != e1 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1 )
& ( op(e3,e3) != e3
| op(e0,e3) != e0 )
& ( op(e2,e2) != e3
| op(e0,e3) != e0 )
& ( op(e1,e1) != e3
| op(e0,e3) != e0 )
& ( op(e0,e0) != e3
| op(e0,e3) != e0 )
& ( op(e3,e3) != e2
| op(e0,e2) != e0 )
& ( op(e2,e2) != e2
| op(e0,e2) != e0 )
& ( op(e1,e1) != e2
| op(e0,e2) != e0 )
& ( op(e0,e0) != e2
| op(e0,e2) != e0 )
& ( op(e3,e3) != e1
| op(e0,e1) != e0 )
& ( op(e2,e2) != e1
| op(e0,e1) != e0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e0,e0) != e1
| op(e0,e1) != e0 )
& ( op(e3,e3) != e0
| op(e0,e0) != e0 )
& ( op(e2,e2) != e0
| op(e0,e0) != e0 )
& ( op(e1,e1) != e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e0 ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c102,plain,
( op(e0,e0) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(sdef65,definition,
( spl65
<=> op(e0,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl65])],[avatar_definition]) ).
cnf(ssp48,plain,
( spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef64,sdef65]) ).
cnf(c103,plain,
( op(e1,e1) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp49,plain,
( spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef64,sdef66]) ).
cnf(c104,plain,
( op(e2,e2) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp50,plain,
( spl67
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef64,sdef67]) ).
cnf(c105,plain,
( op(e3,e3) != e0
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp51,plain,
( spl68
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c105,sdef64,sdef68]) ).
cnf(c106,plain,
( op(e0,e0) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp52,plain,
( spl70
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c106,sdef69,sdef70]) ).
cnf(c107,plain,
( op(e1,e1) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp53,plain,
( spl71
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c107,sdef69,sdef71]) ).
cnf(c108,plain,
( op(e2,e2) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp54,plain,
( spl72
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c108,sdef69,sdef72]) ).
cnf(c109,plain,
( op(e3,e3) != e1
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp55,plain,
( spl73
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c109,sdef69,sdef73]) ).
cnf(c110,plain,
( op(e0,e0) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp56,plain,
( spl75
| spl74 ),
inference(avatar_split_clause,[status(thm)],[c110,sdef74,sdef75]) ).
cnf(c111,plain,
( op(e1,e1) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp57,plain,
( spl76
| spl74 ),
inference(avatar_split_clause,[status(thm)],[c111,sdef74,sdef76]) ).
cnf(c112,plain,
( op(e2,e2) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp58,plain,
( spl77
| spl74 ),
inference(avatar_split_clause,[status(thm)],[c112,sdef74,sdef77]) ).
cnf(c113,plain,
( op(e3,e3) != e2
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp59,plain,
( spl78
| spl74 ),
inference(avatar_split_clause,[status(thm)],[c113,sdef74,sdef78]) ).
cnf(c114,plain,
( op(e0,e0) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp60,plain,
( spl80
| spl79 ),
inference(avatar_split_clause,[status(thm)],[c114,sdef79,sdef80]) ).
cnf(c115,plain,
( op(e1,e1) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp61,plain,
( spl81
| spl79 ),
inference(avatar_split_clause,[status(thm)],[c115,sdef79,sdef81]) ).
cnf(c116,plain,
( op(e2,e2) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp62,plain,
( spl82
| spl79 ),
inference(avatar_split_clause,[status(thm)],[c116,sdef79,sdef82]) ).
cnf(c117,plain,
( op(e3,e3) != e3
| op(e0,e3) != e0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp63,plain,
( spl83
| spl79 ),
inference(avatar_split_clause,[status(thm)],[c117,sdef79,sdef83]) ).
cnf(c118,plain,
( op(e0,e0) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp64,plain,
( spl84
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c118,sdef64,sdef84]) ).
cnf(c119,plain,
( op(e1,e1) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp65,plain,
( spl84
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c119,sdef66,sdef84]) ).
cnf(c120,plain,
( op(e2,e2) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp66,plain,
( spl84
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c120,sdef67,sdef84]) ).
cnf(c121,plain,
( op(e3,e3) != e0
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp67,plain,
( spl84
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c121,sdef68,sdef84]) ).
cnf(c122,plain,
( op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp68,plain,
( spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c122,sdef70,sdef71]) ).
cnf(c123,plain,
( op(e1,e1) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp69,plain,
spl71,
inference(avatar_split_clause,[status(thm)],[c123,sdef71]) ).
cnf(c124,plain,
( op(e2,e2) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp70,plain,
( spl72
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c124,sdef71,sdef72]) ).
cnf(c125,plain,
( op(e3,e3) != e1
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp71,plain,
( spl73
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c125,sdef71,sdef73]) ).
cnf(c126,plain,
( op(e0,e0) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp72,plain,
( spl85
| spl75 ),
inference(avatar_split_clause,[status(thm)],[c126,sdef75,sdef85]) ).
cnf(c127,plain,
( op(e1,e1) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp73,plain,
( spl85
| spl76 ),
inference(avatar_split_clause,[status(thm)],[c127,sdef76,sdef85]) ).
cnf(c128,plain,
( op(e2,e2) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp74,plain,
( spl85
| spl77 ),
inference(avatar_split_clause,[status(thm)],[c128,sdef77,sdef85]) ).
cnf(c129,plain,
( op(e3,e3) != e2
| op(e1,e2) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp75,plain,
( spl85
| spl78 ),
inference(avatar_split_clause,[status(thm)],[c129,sdef78,sdef85]) ).
cnf(c130,plain,
( op(e0,e0) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp76,plain,
( spl86
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c130,sdef80,sdef86]) ).
cnf(c131,plain,
( op(e1,e1) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp77,plain,
( spl86
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c131,sdef81,sdef86]) ).
cnf(c132,plain,
( op(e2,e2) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp78,plain,
( spl86
| spl82 ),
inference(avatar_split_clause,[status(thm)],[c132,sdef82,sdef86]) ).
cnf(c133,plain,
( op(e3,e3) != e3
| op(e1,e3) != e1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp79,plain,
( spl86
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c133,sdef83,sdef86]) ).
cnf(c134,plain,
( op(e0,e0) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp80,plain,
( spl87
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c134,sdef64,sdef87]) ).
cnf(c135,plain,
( op(e1,e1) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp81,plain,
( spl87
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c135,sdef66,sdef87]) ).
cnf(c136,plain,
( op(e2,e2) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp82,plain,
( spl87
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c136,sdef67,sdef87]) ).
cnf(c137,plain,
( op(e3,e3) != e0
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp83,plain,
( spl87
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c137,sdef68,sdef87]) ).
cnf(c138,plain,
( op(e0,e0) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp84,plain,
( spl88
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c138,sdef70,sdef88]) ).
cnf(c139,plain,
( op(e1,e1) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp85,plain,
( spl88
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c139,sdef71,sdef88]) ).
cnf(c140,plain,
( op(e2,e2) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp86,plain,
( spl88
| spl72 ),
inference(avatar_split_clause,[status(thm)],[c140,sdef72,sdef88]) ).
cnf(c141,plain,
( op(e3,e3) != e1
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp87,plain,
( spl88
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c141,sdef73,sdef88]) ).
cnf(c142,plain,
( op(e0,e0) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp88,plain,
( spl77
| spl75 ),
inference(avatar_split_clause,[status(thm)],[c142,sdef75,sdef77]) ).
cnf(c143,plain,
( op(e1,e1) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp89,plain,
( spl77
| spl76 ),
inference(avatar_split_clause,[status(thm)],[c143,sdef76,sdef77]) ).
cnf(c144,plain,
( op(e2,e2) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp90,plain,
spl77,
inference(avatar_split_clause,[status(thm)],[c144,sdef77]) ).
cnf(c145,plain,
( op(e3,e3) != e2
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp91,plain,
( spl78
| spl77 ),
inference(avatar_split_clause,[status(thm)],[c145,sdef77,sdef78]) ).
cnf(c146,plain,
( op(e0,e0) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp92,plain,
( spl89
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c146,sdef80,sdef89]) ).
cnf(c147,plain,
( op(e1,e1) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp93,plain,
( spl89
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c147,sdef81,sdef89]) ).
cnf(c148,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp94,plain,
( spl89
| spl82 ),
inference(avatar_split_clause,[status(thm)],[c148,sdef82,sdef89]) ).
cnf(c149,plain,
( op(e3,e3) != e3
| op(e2,e3) != e2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp95,plain,
( spl89
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c149,sdef83,sdef89]) ).
cnf(c150,plain,
( op(e0,e0) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp96,plain,
( spl90
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c150,sdef64,sdef90]) ).
cnf(c151,plain,
( op(e1,e1) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp97,plain,
( spl90
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c151,sdef66,sdef90]) ).
cnf(c152,plain,
( op(e2,e2) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp98,plain,
( spl90
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c152,sdef67,sdef90]) ).
cnf(c153,plain,
( op(e3,e3) != e0
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp99,plain,
( spl90
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c153,sdef68,sdef90]) ).
cnf(c154,plain,
( op(e0,e0) != e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp100,plain,
( spl91
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c154,sdef70,sdef91]) ).
cnf(c155,plain,
( op(e1,e1) != e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp101,plain,
( spl91
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c155,sdef71,sdef91]) ).
cnf(c156,plain,
( op(e2,e2) != e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp102,plain,
( spl91
| spl72 ),
inference(avatar_split_clause,[status(thm)],[c156,sdef72,sdef91]) ).
cnf(c157,plain,
( op(e3,e3) != e1
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp103,plain,
( spl91
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c157,sdef73,sdef91]) ).
cnf(c158,plain,
( op(e0,e0) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp104,plain,
( spl92
| spl75 ),
inference(avatar_split_clause,[status(thm)],[c158,sdef75,sdef92]) ).
cnf(c159,plain,
( op(e1,e1) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp105,plain,
( spl92
| spl76 ),
inference(avatar_split_clause,[status(thm)],[c159,sdef76,sdef92]) ).
cnf(c160,plain,
( op(e2,e2) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp106,plain,
( spl92
| spl77 ),
inference(avatar_split_clause,[status(thm)],[c160,sdef77,sdef92]) ).
cnf(c161,plain,
( op(e3,e3) != e2
| op(e3,e2) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp107,plain,
( spl92
| spl78 ),
inference(avatar_split_clause,[status(thm)],[c161,sdef78,sdef92]) ).
cnf(c162,plain,
( op(e0,e0) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp108,plain,
( spl83
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c162,sdef80,sdef83]) ).
cnf(c163,plain,
( op(e1,e1) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp109,plain,
( spl83
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c163,sdef81,sdef83]) ).
cnf(c164,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp110,plain,
( spl83
| spl82 ),
inference(avatar_split_clause,[status(thm)],[c164,sdef82,sdef83]) ).
cnf(c165,plain,
( op(e3,e3) != e3
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(ssp111,plain,
spl83,
inference(avatar_split_clause,[status(thm)],[c165,sdef83]) ).
fof(f5,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f5_nnf,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c166,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(ssp112,plain,
( spl95
| spl94
| spl93 ),
inference(avatar_split_clause,[status(thm)],[c166,sdef93,sdef94,sdef95]) ).
fof(f6,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f6_nnf,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c167,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(ssp113,plain,
( spl98
| spl97
| spl96 ),
inference(avatar_split_clause,[status(thm)],[c167,sdef96,sdef97,sdef98]) ).
fof(f7,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c168,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(ssp114,plain,
( spl100
| spl99
| spl93 ),
inference(avatar_split_clause,[status(thm)],[c168,sdef93,sdef99,sdef100]) ).
fof(f8,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f8_nnf,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c169,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(ssp115,plain,
( spl103
| spl102
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c169,sdef101,sdef102,sdef103]) ).
fof(f9,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f9_nnf,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c170,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(sdef105,definition,
( spl105
<=> e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(definition,[new_symbols(naming,[spl105])],[avatar_definition]) ).
cnf(ssp116,plain,
( spl105
| spl104
| spl96 ),
inference(avatar_split_clause,[status(thm)],[c170,sdef96,sdef104,sdef105]) ).
fof(f10,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f10_nnf,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c171,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(ssp117,plain,
( spl107
| spl106
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c171,sdef101,sdef106,sdef107]) ).
fof(f11,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f11_nnf,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c172,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(ssp118,plain,
( spl109
| spl108
| spl95 ),
inference(avatar_split_clause,[status(thm)],[c172,sdef95,sdef108,sdef109]) ).
fof(f12,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f12_nnf,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c173,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(ssp119,plain,
( spl111
| spl110
| spl98 ),
inference(avatar_split_clause,[status(thm)],[c173,sdef98,sdef110,sdef111]) ).
fof(f13,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f13_nnf,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c174,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(ssp120,plain,
( spl112
| spl108
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c174,sdef99,sdef108,sdef112]) ).
fof(f14,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e2 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f14_nnf,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c175,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(ssp121,plain,
( spl115
| spl114
| spl113 ),
inference(avatar_split_clause,[status(thm)],[c175,sdef113,sdef114,sdef115]) ).
fof(f15,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f15_nnf,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c176,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(ssp122,plain,
( spl116
| spl110
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c176,sdef104,sdef110,sdef116]) ).
fof(f16,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e3 = op(e0,e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f16_nnf,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c177,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0)
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(ssp123,plain,
( spl118
| spl117
| spl113 ),
inference(avatar_split_clause,[status(thm)],[c177,sdef113,sdef117,sdef118]) ).
fof(f17,axiom,
~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c178,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(ssp124,plain,
( spl119
| spl109
| spl100 ),
inference(avatar_split_clause,[status(thm)],[c178,sdef100,sdef109,sdef119]) ).
fof(f18,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f18_nnf,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c179,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(ssp125,plain,
( spl121
| spl120
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c179,sdef103,sdef120,sdef121]) ).
fof(f19,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c180,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(ssp126,plain,
( spl119
| spl112
| spl94 ),
inference(avatar_split_clause,[status(thm)],[c180,sdef94,sdef112,sdef119]) ).
fof(f20,axiom,
~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c181,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(ssp127,plain,
( spl123
| spl122
| spl115 ),
inference(avatar_split_clause,[status(thm)],[c181,sdef115,sdef122,sdef123]) ).
fof(f21,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f21_nnf,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c182,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(ssp128,plain,
( spl124
| spl120
| spl106 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef106,sdef120,sdef124]) ).
fof(f22,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& e3 = op(e0,e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f22_nnf,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c183,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e3 != op(e0,e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(ssp129,plain,
( spl125
| spl122
| spl117 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef117,sdef122,sdef125]) ).
fof(f23,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f23_nnf,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c184,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(ssp130,plain,
( spl126
| spl111
| spl105 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef105,sdef111,sdef126]) ).
fof(f24,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f24_nnf,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c185,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(ssp131,plain,
( spl127
| spl121
| spl107 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef107,sdef121,sdef127]) ).
fof(f25,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f25_nnf,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c186,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(ssp132,plain,
( spl126
| spl116
| spl97 ),
inference(avatar_split_clause,[status(thm)],[c186,sdef97,sdef116,sdef126]) ).
fof(f26,axiom,
~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f26_nnf,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c187,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(ssp133,plain,
( spl128
| spl123
| spl118 ),
inference(avatar_split_clause,[status(thm)],[c187,sdef118,sdef123,sdef128]) ).
fof(f27,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f27_nnf,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c188,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(ssp134,plain,
( spl127
| spl124
| spl102 ),
inference(avatar_split_clause,[status(thm)],[c188,sdef102,sdef124,sdef127]) ).
fof(f28,axiom,
~ ( e1 = op(op(e0,op(e0,e0)),op(e0,e0))
& e2 = op(e0,e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f28_nnf,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c189,plain,
( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(ssp135,plain,
( spl128
| spl125
| spl114 ),
inference(avatar_split_clause,[status(thm)],[c189,sdef114,sdef125,sdef128]) ).
cnf(sat_ref,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,ssp3,ssp4,ssp5,ssp6,ssp7,ssp8,ssp9,ssp10,ssp11,ssp12,ssp13,ssp14,ssp15,ssp16,ssp17,ssp18,ssp19,ssp20,ssp21,ssp22,ssp23,ssp24,ssp25,ssp26,ssp27,ssp28,ssp29,ssp30,ssp31,ssp32,ssp33,ssp34,ssp35,ssp36,ssp37,ssp38,ssp39,ssp40,ssp41,ssp42,ssp43,ssp44,ssp45,ssp46,ssp47,ssp48,ssp49,ssp50,ssp51,ssp52,ssp53,ssp54,ssp55,ssp56,ssp57,ssp58,ssp59,ssp60,ssp61,ssp62,ssp63,ssp64,ssp65,ssp66,ssp67,ssp68,ssp69,ssp70,ssp71,ssp72,ssp73,ssp74,ssp75,ssp76,ssp77,ssp78,ssp79,ssp80,ssp81,ssp82,ssp83,ssp84,ssp85,ssp86,ssp87,ssp88,ssp89,ssp90,ssp91,ssp92,ssp93,ssp94,ssp95,ssp96,ssp97,ssp98,ssp99,ssp100,ssp101,ssp102,ssp103,ssp104,ssp105,ssp106,ssp107,ssp108,ssp109,ssp110,ssp111,ssp112,ssp113,ssp114,ssp115,ssp116,ssp117,ssp118,ssp119,ssp120,ssp121,ssp122,ssp123,ssp124,ssp125,ssp126,ssp127,ssp128,ssp129,ssp130,ssp131,ssp132,ssp133,ssp134,ssp135,sct0,sct1,sct2,sct3,sct4,sct5,sct6,sct7,sct8,sct9,sct10,sct11,sct12,sct13,sct14,sct15,sct16,sct17,sct18,sct19,sct20,sct21,sct22,sct23,sct24,sct25,sct26,sct27,sct28,sct29,sct30,sct31,sct32,sct33,sct34,sct35,sct36,sct37,sct38,sct39,sct40,sct41,sct42,sct43,sct44,sct45,sct46,sct47,sct48,sct49,sct50,sct51,sct52,sct53,sct54,sct55,sct56,sct57,sct58,sct59,sct60,sct61,sct62,sct63,sct64,sct65,sct66,sct67,sct68,sct69,sct70,sct71,sct72,sct73,sct74,sct75,sct76,sct77,sct78,sct79,sct80,sct81,sct82,sct83,sct84,sct85,sct86,sct87,sct88,sct89,sct90,sct91,sct92,sct93,sct94,sct95,sct96,sct97,sct98,sct99,sct100,sct101,sct102,sct103,sct104,sct105,sct106,sct107,sct108,sct109,sct110,sct111,sct112,sct113,sct114,sct115,sct116,sct117,sct118,sct119,sct120,sct121,sct122,sct123,sct124,sct125,sct126,sct127,sct128,sct129,sct130,sct131,sct132,sct133,sct134,sct135,sct136,sct137,sct138,sct139,sct140,sct141,sct142,sct143,sct144,sct145,sct146,sct147,sct148,sct149,sct150,sct151,sct152,sct153,sct154,sct155,sct156,sct157,sct158,sct159,sct160,sct161,sct162,sct163,sct164,sct165,sct166,sct167,sct168,sct169,sct170,sct171,sct172,sct173,sct174,sct175,sct176,sct177,sct178,sct179,sct180,sct181,sct182,sct183,sct184,sct185,sct186,sct187,sct188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG136+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 04:53:40 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.14/9.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.14/9.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------