%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 01:53:20 PM UTC 2026
% Result : Theorem 273.57s 36.04s
% Output : Proof 273.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 317
% Syntax : Number of formulae : 2361 ( 109 unt; 256 def)
% Number of atoms : 6154 ( 0 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 6368 (2575 ~;3290 |; 208 &)
% ( 292 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 298 ( 297 usr; 257 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 12 con; 0-1 aty)
% Number of variables : 313 ( 2 sgn 164 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sdef3,definition,
( spl3
<=> ~ xsd_string(sk32) ),
introduced(definition,[new_symbols(naming,[spl3])],[avatar_definition]) ).
cnf(p186,plain,
( ~ spl3
| ~ xsd_string(sk32) ),
inference(avatar_component_clause,[status(thm)],[sdef3]) ).
fof(sdef2,definition,
( spl2
<=> xsd_string(sk32) ),
introduced(definition,[new_symbols(naming,[spl2])],[avatar_definition]) ).
cnf(p185,plain,
( ~ spl2
| xsd_string(sk32) ),
inference(avatar_component_clause,[status(thm)],[sdef2]) ).
cnf(p207,plain,
( ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p186,p185]) ).
cnf(sct0,plain,
( ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p207]) ).
fof(f0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f0_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(sdef0,definition,
( spl0
<=> ~ cowlThing(sk31) ),
introduced(definition,[new_symbols(naming,[spl0])],[avatar_definition]) ).
cnf(p183,plain,
( ~ spl0
| ~ cowlThing(sk31) ),
inference(avatar_component_clause,[status(thm)],[sdef0]) ).
cnf(p208,plain,
( ~ spl0
| $false ),
inference(resolution,[status(thm)],[c0,p183]) ).
cnf(sct1,plain,
~ spl0,
inference(avatar_contradiction_clause,[status(thm)],[p208]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(sdef1,definition,
( spl1
<=> cowlNothing(sk31) ),
introduced(definition,[new_symbols(naming,[spl1])],[avatar_definition]) ).
cnf(p184,plain,
( ~ spl1
| cowlNothing(sk31) ),
inference(avatar_component_clause,[status(thm)],[sdef1]) ).
cnf(p209,plain,
( ~ spl1
| $false ),
inference(resolution,[status(thm)],[c1,p184]) ).
cnf(sct2,plain,
~ spl1,
inference(avatar_contradiction_clause,[status(thm)],[p209]) ).
fof(sdef11,definition,
( spl11
<=> ~ cowlThing(iV8467) ),
introduced(definition,[new_symbols(naming,[spl11])],[avatar_definition]) ).
cnf(p194,plain,
( ~ spl11
| ~ cowlThing(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef11]) ).
cnf(p210,plain,
( ~ spl11
| $false ),
inference(resolution,[status(thm)],[p194,c0]) ).
cnf(sct3,plain,
~ spl11,
inference(avatar_contradiction_clause,[status(thm)],[p210]) ).
fof(sdef14,definition,
( spl14
<=> ~ cowlThing(iV8471) ),
introduced(definition,[new_symbols(naming,[spl14])],[avatar_definition]) ).
cnf(p197,plain,
( ~ spl14
| ~ cowlThing(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef14]) ).
cnf(p211,plain,
( ~ spl14
| $false ),
inference(resolution,[status(thm)],[p197,c0]) ).
cnf(sct4,plain,
~ spl14,
inference(avatar_contradiction_clause,[status(thm)],[p211]) ).
fof(sdef17,definition,
( spl17
<=> ~ cowlThing(iV8472) ),
introduced(definition,[new_symbols(naming,[spl17])],[avatar_definition]) ).
cnf(p200,plain,
( ~ spl17
| ~ cowlThing(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef17]) ).
cnf(p212,plain,
( ~ spl17
| $false ),
inference(resolution,[status(thm)],[p200,c0]) ).
cnf(sct5,plain,
~ spl17,
inference(avatar_contradiction_clause,[status(thm)],[p212]) ).
fof(sdef20,definition,
( spl20
<=> xsd_integer(sk32) ),
introduced(definition,[new_symbols(naming,[spl20])],[avatar_definition]) ).
cnf(p205,plain,
( ~ spl20
| xsd_integer(sk32) ),
inference(avatar_component_clause,[status(thm)],[sdef20]) ).
fof(sdef19,definition,
( spl19
<=> ~ xsd_integer(sk32) ),
introduced(definition,[new_symbols(naming,[spl19])],[avatar_definition]) ).
cnf(p203,plain,
( ~ spl19
| ~ xsd_integer(sk32) ),
inference(avatar_component_clause,[status(thm)],[sdef19]) ).
cnf(p214,plain,
( ~ spl20
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p205,p203]) ).
cnf(sct6,plain,
( ~ spl20
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p214]) ).
fof(sdef25,definition,
( spl25
<=> cC14(iV8467) ),
introduced(definition,[new_symbols(naming,[spl25])],[avatar_definition]) ).
cnf(p225,plain,
( ~ spl25
| cC14(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef25]) ).
fof(sdef8,definition,
( spl8
<=> ~ cC14(iV8467) ),
introduced(definition,[new_symbols(naming,[spl8])],[avatar_definition]) ).
cnf(p191,plain,
( ~ spl8
| ~ cC14(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef8]) ).
cnf(p231,plain,
( ~ spl25
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p225,p191]) ).
cnf(sct7,plain,
( ~ spl25
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p231]) ).
fof(sdef45,definition,
( spl45
<=> cC18(iV8467) ),
introduced(definition,[new_symbols(naming,[spl45])],[avatar_definition]) ).
cnf(p280,plain,
( ~ spl45
| cC18(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef45]) ).
fof(f6,axiom,
! [X] :
( cC18(X)
<=> ( cC12(X)
& ~ cC16(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( ( ~ cC12(X)
| cC16(X)
| cC18(X) )
& ( ( cC12(X)
& ~ cC16(X) )
| ~ cC18(X) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ( ~ cC12(X)
| cC16(X)
| cC18(X) )
& ( ( cC12(X)
& ~ cC16(X) )
| ~ cC18(X) ) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c16,plain,
( ~ cC16(X0)
| ~ cC18(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p283,plain,
( ~ spl45
| ~ cC16(iV8467) ),
inference(resolution,[status(thm)],[p280,c16]) ).
fof(sdef35,definition,
( spl35
<=> cC16(iV8467) ),
introduced(definition,[new_symbols(naming,[spl35])],[avatar_definition]) ).
cnf(p247,plain,
( ~ spl35
| cC16(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef35]) ).
cnf(p285,plain,
( ~ spl45
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p283,p247]) ).
cnf(sct8,plain,
( ~ spl45
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p285]) ).
fof(sdef47,definition,
( spl47
<=> ~ cTOP(iV8470) ),
introduced(definition,[new_symbols(naming,[spl47])],[avatar_definition]) ).
cnf(p289,plain,
( ~ spl47
| ~ cTOP(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef47]) ).
fof(f68,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
fof(f68_nnf,plain,
cTOP(iV8470),
inference(nnf_transformation,[status(thm)],[f68]) ).
cnf(c164,plain,
cTOP(iV8470),
inference(cnf_transformation,[status(esa)],[f68_nnf]) ).
cnf(p292,plain,
( ~ spl47
| $false ),
inference(resolution,[status(thm)],[p289,c164]) ).
cnf(sct9,plain,
~ spl47,
inference(avatar_contradiction_clause,[status(thm)],[p292]) ).
fof(sdef55,definition,
( spl55
<=> cC20(iV8467) ),
introduced(definition,[new_symbols(naming,[spl55])],[avatar_definition]) ).
cnf(p310,plain,
( ~ spl55
| cC20(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef55]) ).
fof(sdef10,definition,
( spl10
<=> ~ cC20(iV8467) ),
introduced(definition,[new_symbols(naming,[spl10])],[avatar_definition]) ).
cnf(p193,plain,
( ~ spl10
| ~ cC20(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef10]) ).
cnf(p330,plain,
( ~ spl55
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p310,p193]) ).
cnf(sct10,plain,
( ~ spl55
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p330]) ).
fof(sdef56,definition,
( spl56
<=> cC2(iV8471) ),
introduced(definition,[new_symbols(naming,[spl56])],[avatar_definition]) ).
cnf(p311,plain,
( ~ spl56
| cC2(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef56]) ).
fof(f70,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f70_nnf,plain,
~ cC2(iV8471),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
~ cC2(iV8471),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c166,plain,
~ cC2(iV8471),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(p333,plain,
( ~ spl56
| $false ),
inference(resolution,[status(thm)],[p311,c166]) ).
cnf(sct11,plain,
~ spl56,
inference(avatar_contradiction_clause,[status(thm)],[p333]) ).
fof(sdef57,definition,
( spl57
<=> cC2(iV8473) ),
introduced(definition,[new_symbols(naming,[spl57])],[avatar_definition]) ).
cnf(p313,plain,
( ~ spl57
| cC2(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef57]) ).
fof(f77,axiom,
~ cC2(iV8473),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(f77_nnf,plain,
~ cC2(iV8473),
inference(nnf_transformation,[status(thm)],[f77]) ).
fof(f77_sk,plain,
~ cC2(iV8473),
inference(skolemisation,[status(esa)],[f77_nnf]) ).
cnf(c173,plain,
~ cC2(iV8473),
inference(cnf_transformation,[status(esa)],[f77_sk]) ).
cnf(p334,plain,
( ~ spl57
| $false ),
inference(resolution,[status(thm)],[p313,c173]) ).
cnf(sct12,plain,
~ spl57,
inference(avatar_contradiction_clause,[status(thm)],[p334]) ).
fof(sdef58,definition,
( spl58
<=> cC2(iV8468) ),
introduced(definition,[new_symbols(naming,[spl58])],[avatar_definition]) ).
cnf(p315,plain,
( ~ spl58
| cC2(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef58]) ).
fof(f63,axiom,
~ cC2(iV8468),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f63_nnf,plain,
~ cC2(iV8468),
inference(nnf_transformation,[status(thm)],[f63]) ).
fof(f63_sk,plain,
~ cC2(iV8468),
inference(skolemisation,[status(esa)],[f63_nnf]) ).
cnf(c159,plain,
~ cC2(iV8468),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(p335,plain,
( ~ spl58
| $false ),
inference(resolution,[status(thm)],[p315,c159]) ).
cnf(sct13,plain,
~ spl58,
inference(avatar_contradiction_clause,[status(thm)],[p335]) ).
fof(sdef60,definition,
( spl60
<=> cC2(iV8475) ),
introduced(definition,[new_symbols(naming,[spl60])],[avatar_definition]) ).
cnf(p319,plain,
( ~ spl60
| cC2(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef60]) ).
fof(f82,axiom,
~ cC2(iV8475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(f82_nnf,plain,
~ cC2(iV8475),
inference(nnf_transformation,[status(thm)],[f82]) ).
fof(f82_sk,plain,
~ cC2(iV8475),
inference(skolemisation,[status(esa)],[f82_nnf]) ).
cnf(c178,plain,
~ cC2(iV8475),
inference(cnf_transformation,[status(esa)],[f82_sk]) ).
cnf(p336,plain,
( ~ spl60
| $false ),
inference(resolution,[status(thm)],[p319,c178]) ).
cnf(sct14,plain,
~ spl60,
inference(avatar_contradiction_clause,[status(thm)],[p336]) ).
fof(sdef61,definition,
( spl61
<=> cC2(iV8472) ),
introduced(definition,[new_symbols(naming,[spl61])],[avatar_definition]) ).
cnf(p321,plain,
( ~ spl61
| cC2(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef61]) ).
fof(f74,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(f74_nnf,plain,
~ cC2(iV8472),
inference(nnf_transformation,[status(thm)],[f74]) ).
fof(f74_sk,plain,
~ cC2(iV8472),
inference(skolemisation,[status(esa)],[f74_nnf]) ).
cnf(c170,plain,
~ cC2(iV8472),
inference(cnf_transformation,[status(esa)],[f74_sk]) ).
cnf(p337,plain,
( ~ spl61
| $false ),
inference(resolution,[status(thm)],[p321,c170]) ).
cnf(sct15,plain,
~ spl61,
inference(avatar_contradiction_clause,[status(thm)],[p337]) ).
fof(sdef54,definition,
( spl54
<=> cC18(iV8472) ),
introduced(definition,[new_symbols(naming,[spl54])],[avatar_definition]) ).
cnf(p306,plain,
( ~ spl54
| cC18(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef54]) ).
cnf(p328,plain,
( ~ spl54
| ~ cC16(iV8472) ),
inference(resolution,[status(thm)],[p306,c16]) ).
fof(sdef52,definition,
( spl52
<=> cC16(iV8472) ),
introduced(definition,[new_symbols(naming,[spl52])],[avatar_definition]) ).
cnf(p301,plain,
( ~ spl52
| cC16(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef52]) ).
cnf(p338,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p328,p301]) ).
cnf(sct16,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p338]) ).
fof(sdef76,definition,
( spl76
<=> cC26(iV8467) ),
introduced(definition,[new_symbols(naming,[spl76])],[avatar_definition]) ).
cnf(p379,plain,
( ~ spl76
| cC26(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef76]) ).
fof(f54,axiom,
~ cC26(iV8467),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f54_nnf,plain,
~ cC26(iV8467),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
~ cC26(iV8467),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c150,plain,
~ cC26(iV8467),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p383,plain,
( ~ spl76
| $false ),
inference(resolution,[status(thm)],[p379,c150]) ).
cnf(sct17,plain,
~ spl76,
inference(avatar_contradiction_clause,[status(thm)],[p383]) ).
fof(sdef77,definition,
( spl77
<=> cC26(iV8472) ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p381,plain,
( ~ spl77
| cC26(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef77]) ).
fof(f10,axiom,
! [X] :
( cC26(X)
<=> ( cC24(X)
& ~ cC20(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f10_nnf,plain,
! [X] :
( ( ~ cC24(X)
| cC20(X)
| cC26(X) )
& ( ( cC24(X)
& ~ cC20(X) )
| ~ cC26(X) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( ( ~ cC24(X)
| cC20(X)
| cC26(X) )
& ( ( cC24(X)
& ~ cC20(X) )
| ~ cC26(X) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c28,plain,
( ~ cC20(X0)
| ~ cC26(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p384,plain,
( ~ spl77
| ~ cC20(iV8472) ),
inference(resolution,[status(thm)],[p381,c28]) ).
fof(sdef78,definition,
( spl78
<=> cC20(iV8472) ),
introduced(definition,[new_symbols(naming,[spl78])],[avatar_definition]) ).
cnf(p382,plain,
( ~ spl78
| cC20(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef78]) ).
cnf(p388,plain,
( ~ spl78
| ~ spl77
| $false ),
inference(resolution,[status(thm)],[p384,p382]) ).
cnf(sct18,plain,
( ~ spl78
| ~ spl77 ),
inference(avatar_contradiction_clause,[status(thm)],[p388]) ).
fof(sdef85,definition,
( spl85
<=> ~ cC26(iV8472) ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p405,plain,
( ~ spl85
| ~ cC26(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p415,plain,
( ~ spl85
| ~ spl77
| $false ),
inference(resolution,[status(thm)],[p405,p381]) ).
cnf(sct19,plain,
( ~ spl85
| ~ spl77 ),
inference(avatar_contradiction_clause,[status(thm)],[p415]) ).
fof(sdef96,definition,
( spl96
<=> ~ cC2(iV8469) ),
introduced(definition,[new_symbols(naming,[spl96])],[avatar_definition]) ).
cnf(p445,plain,
( ~ spl96
| ~ cC2(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef96]) ).
fof(sdef59,definition,
( spl59
<=> cC2(iV8469) ),
introduced(definition,[new_symbols(naming,[spl59])],[avatar_definition]) ).
cnf(p317,plain,
( ~ spl59
| cC2(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef59]) ).
cnf(p457,plain,
( ~ spl96
| ~ spl59
| $false ),
inference(resolution,[status(thm)],[p445,p317]) ).
cnf(sct20,plain,
( ~ spl96
| ~ spl59 ),
inference(avatar_contradiction_clause,[status(thm)],[p457]) ).
fof(sdef97,definition,
( spl97
<=> ~ cC2(iV8474) ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p447,plain,
( ~ spl97
| ~ cC2(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
fof(sdef62,definition,
( spl62
<=> cC2(iV8474) ),
introduced(definition,[new_symbols(naming,[spl62])],[avatar_definition]) ).
cnf(p323,plain,
( ~ spl62
| cC2(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef62]) ).
cnf(p458,plain,
( ~ spl97
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p447,p323]) ).
cnf(sct21,plain,
( ~ spl97
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p458]) ).
fof(sdef98,definition,
( spl98
<=> ~ cC2(iV8470) ),
introduced(definition,[new_symbols(naming,[spl98])],[avatar_definition]) ).
cnf(p449,plain,
( ~ spl98
| ~ cC2(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef98]) ).
fof(sdef63,definition,
( spl63
<=> cC2(iV8470) ),
introduced(definition,[new_symbols(naming,[spl63])],[avatar_definition]) ).
cnf(p325,plain,
( ~ spl63
| cC2(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef63]) ).
cnf(p459,plain,
( ~ spl98
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p449,p325]) ).
cnf(sct22,plain,
( ~ spl98
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p459]) ).
fof(sdef100,definition,
( spl100
<=> ~ cC2(iV8476) ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p452,plain,
( ~ spl100
| ~ cC2(iV8476) ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
fof(f84,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(f84_nnf,plain,
cC2(iV8476),
inference(nnf_transformation,[status(thm)],[f84]) ).
cnf(c180,plain,
cC2(iV8476),
inference(cnf_transformation,[status(esa)],[f84_nnf]) ).
cnf(p462,plain,
( ~ spl100
| $false ),
inference(resolution,[status(thm)],[p452,c180]) ).
cnf(sct23,plain,
~ spl100,
inference(avatar_contradiction_clause,[status(thm)],[p462]) ).
fof(sdef101,definition,
( spl101
<=> ~ cC2(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p454,plain,
( ~ spl101
| ~ cC2(sk0(iV8467)) ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
fof(sdef92,definition,
( spl92
<=> cC2(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p435,plain,
( ~ spl92
| cC2(sk0(iV8467)) ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
cnf(p463,plain,
( ~ spl101
| ~ spl92
| $false ),
inference(resolution,[status(thm)],[p454,p435]) ).
cnf(sct24,plain,
( ~ spl101
| ~ spl92 ),
inference(avatar_contradiction_clause,[status(thm)],[p463]) ).
fof(sdef102,definition,
( spl102
<=> cC34(iV8467) ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p465,plain,
( ~ spl102
| cC34(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
fof(sdef13,definition,
( spl13
<=> ~ cC34(iV8467) ),
introduced(definition,[new_symbols(naming,[spl13])],[avatar_definition]) ).
cnf(p196,plain,
( ~ spl13
| ~ cC34(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef13]) ).
cnf(p485,plain,
( ~ spl102
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p465,p196]) ).
cnf(sct25,plain,
( ~ spl102
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p485]) ).
fof(sdef108,definition,
( spl108
<=> cC32(iV8474) ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p477,plain,
( ~ spl108
| cC32(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
fof(f80,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(f80_nnf,plain,
~ cC32(iV8474),
inference(nnf_transformation,[status(thm)],[f80]) ).
fof(f80_sk,plain,
~ cC32(iV8474),
inference(skolemisation,[status(esa)],[f80_nnf]) ).
cnf(c176,plain,
~ cC32(iV8474),
inference(cnf_transformation,[status(esa)],[f80_sk]) ).
cnf(p498,plain,
( ~ spl108
| $false ),
inference(resolution,[status(thm)],[p477,c176]) ).
cnf(sct26,plain,
~ spl108,
inference(avatar_contradiction_clause,[status(thm)],[p498]) ).
fof(sdef126,definition,
( spl126
<=> cC4(iV8467) ),
introduced(definition,[new_symbols(naming,[spl126])],[avatar_definition]) ).
cnf(p566,plain,
( ~ spl126
| cC4(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef126]) ).
fof(sdef6,definition,
( spl6
<=> ~ cC4(iV8467) ),
introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).
cnf(p189,plain,
( ~ spl6
| ~ cC4(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef6]) ).
cnf(p575,plain,
( ~ spl126
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p566,p189]) ).
cnf(sct27,plain,
( ~ spl126
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p575]) ).
fof(sdef127,definition,
( spl127
<=> cC10(iV8467) ),
introduced(definition,[new_symbols(naming,[spl127])],[avatar_definition]) ).
cnf(p577,plain,
( ~ spl127
| cC10(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef127]) ).
fof(sdef4,definition,
( spl4
<=> ~ cC10(iV8467) ),
introduced(definition,[new_symbols(naming,[spl4])],[avatar_definition]) ).
cnf(p187,plain,
( ~ spl4
| ~ cC10(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef4]) ).
cnf(p580,plain,
( ~ spl127
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p577,p187]) ).
cnf(sct28,plain,
( ~ spl127
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p580]) ).
fof(sdef134,definition,
( spl134
<=> ~ cC38(iV8472) ),
introduced(definition,[new_symbols(naming,[spl134])],[avatar_definition]) ).
cnf(p598,plain,
( ~ spl134
| ~ cC38(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef134]) ).
fof(sdef123,definition,
( spl123
<=> cC38(iV8472) ),
introduced(definition,[new_symbols(naming,[spl123])],[avatar_definition]) ).
cnf(p535,plain,
( ~ spl123
| cC38(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef123]) ).
cnf(p610,plain,
( ~ spl134
| ~ spl123
| $false ),
inference(resolution,[status(thm)],[p598,p535]) ).
cnf(sct29,plain,
( ~ spl134
| ~ spl123 ),
inference(avatar_contradiction_clause,[status(thm)],[p610]) ).
fof(sdef140,definition,
( spl140
<=> cC42(iV8467) ),
introduced(definition,[new_symbols(naming,[spl140])],[avatar_definition]) ).
cnf(p614,plain,
( ~ spl140
| cC42(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef140]) ).
fof(f51,axiom,
~ cC42(iV8467),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f51_nnf,plain,
~ cC42(iV8467),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
~ cC42(iV8467),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c147,plain,
~ cC42(iV8467),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p617,plain,
( ~ spl140
| $false ),
inference(resolution,[status(thm)],[p614,c147]) ).
cnf(sct30,plain,
~ spl140,
inference(avatar_contradiction_clause,[status(thm)],[p617]) ).
fof(sdef141,definition,
( spl141
<=> cC42(iV8472) ),
introduced(definition,[new_symbols(naming,[spl141])],[avatar_definition]) ).
cnf(p616,plain,
( ~ spl141
| cC42(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef141]) ).
fof(f19,axiom,
! [X] :
( cC42(X)
<=> ( cC40(X)
& ~ cC34(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f19_nnf,plain,
! [X] :
( ( ~ cC40(X)
| cC34(X)
| cC42(X) )
& ( ( cC40(X)
& ~ cC34(X) )
| ~ cC42(X) ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X] :
( ( ~ cC40(X)
| cC34(X)
| cC42(X) )
& ( ( cC40(X)
& ~ cC34(X) )
| ~ cC42(X) ) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c55,plain,
( ~ cC34(X0)
| ~ cC42(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p618,plain,
( ~ spl141
| ~ cC34(iV8472) ),
inference(resolution,[status(thm)],[p616,c55]) ).
fof(sdef110,definition,
( spl110
<=> cC34(iV8472) ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p481,plain,
( ~ spl110
| cC34(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
cnf(p620,plain,
( ~ spl141
| ~ spl110
| $false ),
inference(resolution,[status(thm)],[p618,p481]) ).
cnf(sct31,plain,
( ~ spl141
| ~ spl110 ),
inference(avatar_contradiction_clause,[status(thm)],[p620]) ).
fof(sdef147,definition,
( spl147
<=> ~ cC2(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl147])],[avatar_definition]) ).
cnf(p637,plain,
( ~ spl147
| ~ cC2(sk1(iV8467)) ),
inference(avatar_component_clause,[status(thm)],[sdef147]) ).
fof(sdef144,definition,
( spl144
<=> cC2(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl144])],[avatar_definition]) ).
cnf(p630,plain,
( ~ spl144
| cC2(sk1(iV8467)) ),
inference(avatar_component_clause,[status(thm)],[sdef144]) ).
cnf(p676,plain,
( ~ spl147
| ~ spl144
| $false ),
inference(resolution,[status(thm)],[p637,p630]) ).
cnf(sct32,plain,
( ~ spl147
| ~ spl144 ),
inference(avatar_contradiction_clause,[status(thm)],[p676]) ).
fof(sdef164,definition,
( spl164
<=> cC48(iV8467) ),
introduced(definition,[new_symbols(naming,[spl164])],[avatar_definition]) ).
cnf(p690,plain,
( ~ spl164
| cC48(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef164]) ).
fof(sdef5,definition,
( spl5
<=> ~ cC48(iV8467) ),
introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl5
| ~ cC48(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef5]) ).
cnf(p700,plain,
( ~ spl164
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p690,p188]) ).
cnf(sct33,plain,
( ~ spl164
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p700]) ).
fof(sdef170,definition,
( spl170
<=> ~ cC2(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl170])],[avatar_definition]) ).
cnf(p715,plain,
( ~ spl170
| ~ cC2(sk2(iV8467)) ),
inference(avatar_component_clause,[status(thm)],[sdef170]) ).
fof(sdef167,definition,
( spl167
<=> cC2(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl167])],[avatar_definition]) ).
cnf(p708,plain,
( ~ spl167
| cC2(sk2(iV8467)) ),
inference(avatar_component_clause,[status(thm)],[sdef167]) ).
cnf(p727,plain,
( ~ spl170
| ~ spl167
| $false ),
inference(resolution,[status(thm)],[p715,p708]) ).
cnf(sct34,plain,
( ~ spl170
| ~ spl167 ),
inference(avatar_contradiction_clause,[status(thm)],[p727]) ).
fof(sdef191,definition,
( spl191
<=> cC38(iV8471) ),
introduced(definition,[new_symbols(naming,[spl191])],[avatar_definition]) ).
cnf(p769,plain,
( ~ spl191
| cC38(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef191]) ).
fof(sdef129,definition,
( spl129
<=> ~ cC38(iV8471) ),
introduced(definition,[new_symbols(naming,[spl129])],[avatar_definition]) ).
cnf(p588,plain,
( ~ spl129
| ~ cC38(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef129]) ).
cnf(p805,plain,
( ~ spl191
| ~ spl129
| $false ),
inference(resolution,[status(thm)],[p769,p588]) ).
cnf(sct35,plain,
( ~ spl191
| ~ spl129 ),
inference(avatar_contradiction_clause,[status(thm)],[p805]) ).
fof(sdef201,definition,
( spl201
<=> cC26(iV8471) ),
introduced(definition,[new_symbols(naming,[spl201])],[avatar_definition]) ).
cnf(p797,plain,
( ~ spl201
| cC26(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef201]) ).
fof(sdef80,definition,
( spl80
<=> ~ cC26(iV8471) ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p395,plain,
( ~ spl80
| ~ cC26(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
cnf(p827,plain,
( ~ spl201
| ~ spl80
| $false ),
inference(resolution,[status(thm)],[p797,p395]) ).
cnf(sct36,plain,
( ~ spl201
| ~ spl80 ),
inference(avatar_contradiction_clause,[status(thm)],[p827]) ).
fof(sdef202,definition,
( spl202
<=> cC10(iV8471) ),
introduced(definition,[new_symbols(naming,[spl202])],[avatar_definition]) ).
cnf(p807,plain,
( ~ spl202
| cC10(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef202]) ).
fof(sdef22,definition,
( spl22
<=> ~ cC10(iV8471) ),
introduced(definition,[new_symbols(naming,[spl22])],[avatar_definition]) ).
cnf(p217,plain,
( ~ spl22
| ~ cC10(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef22]) ).
cnf(p830,plain,
( ~ spl202
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p807,p217]) ).
cnf(sct37,plain,
( ~ spl202
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p830]) ).
fof(sdef204,definition,
( spl204
<=> cC42(iV8471) ),
introduced(definition,[new_symbols(naming,[spl204])],[avatar_definition]) ).
cnf(p814,plain,
( ~ spl204
| cC42(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef204]) ).
fof(sdef152,definition,
( spl152
<=> ~ cC42(iV8471) ),
introduced(definition,[new_symbols(naming,[spl152])],[avatar_definition]) ).
cnf(p650,plain,
( ~ spl152
| ~ cC42(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef152]) ).
cnf(p833,plain,
( ~ spl204
| ~ spl152
| $false ),
inference(resolution,[status(thm)],[p814,p650]) ).
cnf(sct38,plain,
( ~ spl204
| ~ spl152 ),
inference(avatar_contradiction_clause,[status(thm)],[p833]) ).
fof(sdef200,definition,
( spl200
<=> cC18(iV8471) ),
introduced(definition,[new_symbols(naming,[spl200])],[avatar_definition]) ).
cnf(p786,plain,
( ~ spl200
| cC18(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef200]) ).
cnf(p821,plain,
( ~ spl200
| ~ cC16(iV8471) ),
inference(resolution,[status(thm)],[p786,c16]) ).
fof(sdef179,definition,
( spl179
<=> cC16(iV8471) ),
introduced(definition,[new_symbols(naming,[spl179])],[avatar_definition]) ).
cnf(p749,plain,
( ~ spl179
| cC16(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef179]) ).
cnf(p860,plain,
( ~ spl200
| ~ spl179
| $false ),
inference(resolution,[status(thm)],[p821,p749]) ).
cnf(sct39,plain,
( ~ spl200
| ~ spl179 ),
inference(avatar_contradiction_clause,[status(thm)],[p860]) ).
cnf(p825,plain,
( ~ spl201
| ~ cC20(iV8471) ),
inference(resolution,[status(thm)],[p797,c28]) ).
fof(sdef181,definition,
( spl181
<=> cC20(iV8471) ),
introduced(definition,[new_symbols(naming,[spl181])],[avatar_definition]) ).
cnf(p752,plain,
( ~ spl181
| cC20(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef181]) ).
cnf(p867,plain,
( ~ spl201
| ~ spl181
| $false ),
inference(resolution,[status(thm)],[p825,p752]) ).
cnf(sct40,plain,
( ~ spl201
| ~ spl181 ),
inference(avatar_contradiction_clause,[status(thm)],[p867]) ).
fof(f2,axiom,
! [X] :
( cC10(X)
<=> ( cC8(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cC8(X)
| ~ cC4(X)
| cC10(X) )
& ( ( cC8(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cC8(X)
| ~ cC4(X)
| cC10(X) )
& ( ( cC8(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c5,plain,
( cC8(X0)
| ~ cC10(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p829,plain,
( ~ spl202
| cC8(iV8471) ),
inference(resolution,[status(thm)],[p807,c5]) ).
fof(sdef203,definition,
( spl203
<=> ~ cC8(iV8471) ),
introduced(definition,[new_symbols(naming,[spl203])],[avatar_definition]) ).
cnf(p808,plain,
( ~ spl203
| ~ cC8(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef203]) ).
cnf(p872,plain,
( ~ spl203
| ~ spl202
| $false ),
inference(resolution,[status(thm)],[p829,p808]) ).
cnf(sct41,plain,
( ~ spl203
| ~ spl202 ),
inference(avatar_contradiction_clause,[status(thm)],[p872]) ).
cnf(p831,plain,
( ~ spl204
| ~ cC34(iV8471) ),
inference(resolution,[status(thm)],[p814,c55]) ).
fof(sdef189,definition,
( spl189
<=> cC34(iV8471) ),
introduced(definition,[new_symbols(naming,[spl189])],[avatar_definition]) ).
cnf(p765,plain,
( ~ spl189
| cC34(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef189]) ).
cnf(p873,plain,
( ~ spl204
| ~ spl189
| $false ),
inference(resolution,[status(thm)],[p831,p765]) ).
cnf(sct42,plain,
( ~ spl204
| ~ spl189 ),
inference(avatar_contradiction_clause,[status(thm)],[p873]) ).
fof(sdef205,definition,
( spl205
<=> cC30(iV8471) ),
introduced(definition,[new_symbols(naming,[spl205])],[avatar_definition]) ).
cnf(p824,plain,
( ~ spl205
| cC30(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef205]) ).
fof(f12,axiom,
! [X] :
( cC30(X)
<=> ( ~ cC28(X)
& cC18(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f12_nnf,plain,
! [X] :
( ( cC28(X)
| ~ cC18(X)
| cC30(X) )
& ( ( ~ cC28(X)
& cC18(X) )
| ~ cC30(X) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ( cC28(X)
| ~ cC18(X)
| cC30(X) )
& ( ( ~ cC28(X)
& cC18(X) )
| ~ cC30(X) ) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c35,plain,
( ~ cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p864,plain,
( ~ spl205
| ~ cC28(iV8471) ),
inference(resolution,[status(thm)],[p824,c35]) ).
fof(sdef186,definition,
( spl186
<=> cC28(iV8471) ),
introduced(definition,[new_symbols(naming,[spl186])],[avatar_definition]) ).
cnf(p760,plain,
( ~ spl186
| cC28(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef186]) ).
cnf(p906,plain,
( ~ spl205
| ~ spl186
| $false ),
inference(resolution,[status(thm)],[p864,p760]) ).
cnf(sct43,plain,
( ~ spl205
| ~ spl186 ),
inference(avatar_contradiction_clause,[status(thm)],[p906]) ).
fof(sdef220,definition,
( spl220
<=> cC46(iV8471) ),
introduced(definition,[new_symbols(naming,[spl220])],[avatar_definition]) ).
cnf(p866,plain,
( ~ spl220
| cC46(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef220]) ).
fof(f21,axiom,
! [X] :
( cC46(X)
<=> ( cC30(X)
& ~ cC44(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f21_nnf,plain,
! [X] :
( ( ~ cC30(X)
| cC44(X)
| cC46(X) )
& ( ( cC30(X)
& ~ cC44(X) )
| ~ cC46(X) ) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X] :
( ( ~ cC30(X)
| cC44(X)
| cC46(X) )
& ( ( cC30(X)
& ~ cC44(X) )
| ~ cC46(X) ) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c61,plain,
( ~ cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p907,plain,
( ~ spl220
| ~ cC44(iV8471) ),
inference(resolution,[status(thm)],[p866,c61]) ).
fof(sdef196,definition,
( spl196
<=> cC44(iV8471) ),
introduced(definition,[new_symbols(naming,[spl196])],[avatar_definition]) ).
cnf(p777,plain,
( ~ spl196
| cC44(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef196]) ).
cnf(p965,plain,
( ~ spl220
| ~ spl196
| $false ),
inference(resolution,[status(thm)],[p907,p777]) ).
cnf(sct44,plain,
( ~ spl220
| ~ spl196 ),
inference(avatar_contradiction_clause,[status(thm)],[p965]) ).
fof(sdef239,definition,
( spl239
<=> cC58(iV8472) ),
introduced(definition,[new_symbols(naming,[spl239])],[avatar_definition]) ).
cnf(p919,plain,
( ~ spl239
| cC58(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef239]) ).
fof(sdef18,definition,
( spl18
<=> ~ cC58(iV8472) ),
introduced(definition,[new_symbols(naming,[spl18])],[avatar_definition]) ).
cnf(p201,plain,
( ~ spl18
| ~ cC58(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef18]) ).
cnf(p972,plain,
( ~ spl239
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p919,p201]) ).
cnf(sct45,plain,
( ~ spl239
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p972]) ).
fof(sdef236,definition,
( spl236
<=> cC56(iV8471) ),
introduced(definition,[new_symbols(naming,[spl236])],[avatar_definition]) ).
cnf(p910,plain,
( ~ spl236
| cC56(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef236]) ).
fof(f26,axiom,
! [X] :
( cC56(X)
<=> ( cC46(X)
& ~ cC54(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f26_nnf,plain,
! [X] :
( ( ~ cC46(X)
| cC54(X)
| cC56(X) )
& ( ( cC46(X)
& ~ cC54(X) )
| ~ cC56(X) ) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X] :
( ( ~ cC46(X)
| cC54(X)
| cC56(X) )
& ( ( cC46(X)
& ~ cC54(X) )
| ~ cC56(X) ) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c76,plain,
( ~ cC54(X0)
| ~ cC56(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p966,plain,
( ~ spl236
| ~ cC54(iV8471) ),
inference(resolution,[status(thm)],[p910,c76]) ).
fof(sdef237,definition,
( spl237
<=> cC54(iV8471) ),
introduced(definition,[new_symbols(naming,[spl237])],[avatar_definition]) ).
cnf(p911,plain,
( ~ spl237
| cC54(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef237]) ).
cnf(p977,plain,
( ~ spl237
| ~ spl236
| $false ),
inference(resolution,[status(thm)],[p966,p911]) ).
cnf(sct46,plain,
( ~ spl237
| ~ spl236 ),
inference(avatar_contradiction_clause,[status(thm)],[p977]) ).
fof(sdef243,definition,
( spl243
<=> cC60(iV8472) ),
introduced(definition,[new_symbols(naming,[spl243])],[avatar_definition]) ).
cnf(p982,plain,
( ~ spl243
| cC60(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef243]) ).
fof(sdef16,definition,
( spl16
<=> ~ cC60(iV8472) ),
introduced(definition,[new_symbols(naming,[spl16])],[avatar_definition]) ).
cnf(p199,plain,
( ~ spl16
| ~ cC60(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef16]) ).
cnf(p985,plain,
( ~ spl243
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p982,p199]) ).
cnf(sct47,plain,
( ~ spl243
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p985]) ).
fof(sdef241,definition,
( spl241
<=> cC60(iV8467) ),
introduced(definition,[new_symbols(naming,[spl241])],[avatar_definition]) ).
cnf(p979,plain,
( ~ spl241
| cC60(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef241]) ).
fof(f29,axiom,
! [X] :
( cC60(X)
<=> ( ~ cC2(X)
& cC58(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f29_nnf,plain,
! [X] :
( ( cC2(X)
| ~ cC58(X)
| cC60(X) )
& ( ( ~ cC2(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X] :
( ( cC2(X)
| ~ cC58(X)
| cC60(X) )
& ( ( ~ cC2(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c86,plain,
( ~ cC2(X0)
| ~ cC60(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p984,plain,
( ~ spl241
| ~ cC2(iV8467) ),
inference(resolution,[status(thm)],[p979,c86]) ).
fof(sdef242,definition,
( spl242
<=> cC2(iV8467) ),
introduced(definition,[new_symbols(naming,[spl242])],[avatar_definition]) ).
cnf(p980,plain,
( ~ spl242
| cC2(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef242]) ).
cnf(p989,plain,
( ~ spl242
| ~ spl241
| $false ),
inference(resolution,[status(thm)],[p984,p980]) ).
cnf(sct48,plain,
( ~ spl242
| ~ spl241 ),
inference(avatar_contradiction_clause,[status(thm)],[p989]) ).
fof(sdef188,definition,
( spl188
<=> ~ cC2(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl188])],[avatar_definition]) ).
cnf(p763,plain,
( ~ spl188
| ~ cC2(sk1(iV8471)) ),
inference(avatar_component_clause,[status(thm)],[sdef188]) ).
fof(sdef182,definition,
( spl182
<=> cC2(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl182])],[avatar_definition]) ).
cnf(p753,plain,
( ~ spl182
| cC2(sk1(iV8471)) ),
inference(avatar_component_clause,[status(thm)],[sdef182]) ).
cnf(p994,plain,
( ~ spl188
| ~ spl182
| $false ),
inference(resolution,[status(thm)],[p763,p753]) ).
cnf(sct49,plain,
( ~ spl188
| ~ spl182 ),
inference(avatar_contradiction_clause,[status(thm)],[p994]) ).
fof(sdef244,definition,
( spl244
<=> cC62(iV8467) ),
introduced(definition,[new_symbols(naming,[spl244])],[avatar_definition]) ).
cnf(p998,plain,
( ~ spl244
| cC62(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef244]) ).
fof(sdef12,definition,
( spl12
<=> ~ cC62(iV8467) ),
introduced(definition,[new_symbols(naming,[spl12])],[avatar_definition]) ).
cnf(p195,plain,
( ~ spl12
| ~ cC62(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef12]) ).
cnf(p1021,plain,
( ~ spl244
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p998,p195]) ).
cnf(sct50,plain,
( ~ spl244
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1021]) ).
fof(f40,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f40_nnf,plain,
! [X] :
( ( cC78(X)
| cC2(X)
| cC80(X) )
& ( ( ~ cC78(X)
& ~ cC2(X) )
| ~ cC80(X) ) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( ( cC78(X)
| cC2(X)
| cC80(X) )
& ( ( ~ cC78(X)
& ~ cC2(X) )
| ~ cC80(X) ) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c120,plain,
( cC78(X0)
| cC2(X0)
| cC80(X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
fof(sdef15,definition,
( spl15
<=> ~ cC80(iV8471) ),
introduced(definition,[new_symbols(naming,[spl15])],[avatar_definition]) ).
cnf(p198,plain,
( ~ spl15
| ~ cC80(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef15]) ).
cnf(p2143,plain,
( ~ spl15
| cC78(iV8471)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[c120,p198]) ).
fof(f71,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f71_nnf,plain,
~ cC78(iV8471),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
~ cC78(iV8471),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c167,plain,
~ cC78(iV8471),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(p2144,plain,
( ~ spl15
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p2143,c167]) ).
cnf(p2145,plain,
( ~ spl15
| $false ),
inference(resolution,[status(thm)],[p2144,c166]) ).
cnf(sct51,plain,
~ spl15,
inference(avatar_contradiction_clause,[status(thm)],[p2145]) ).
fof(f66,axiom,
! [X] :
( rR1(iV8469,X)
=> cC2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
fof(f66_nnf,plain,
! [X] :
( cC2(X)
| ~ rR1(iV8469,X) ),
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
! [X] :
( cC2(X)
| ~ rR1(iV8469,X) ),
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c162,plain,
( cC2(X0)
| ~ rR1(iV8469,X0) ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
fof(sdef226,definition,
( spl226
<=> cC48(iV8469) ),
introduced(definition,[new_symbols(naming,[spl226])],[avatar_definition]) ).
cnf(p887,plain,
( ~ spl226
| cC48(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef226]) ).
fof(f22,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f22_nnf,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC48(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC48(X) ) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X,Y] :
( ( cC2(Y)
| ~ rR1(X,Y)
| cC48(X) )
& ( ( ~ cC2(sk14(X))
& rR1(X,sk14(X)) )
| ~ cC48(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk14])],[f22_nnf]) ).
cnf(c64,plain,
( rR1(X0,sk14(X0))
| ~ cC48(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p931,plain,
( ~ spl226
| rR1(iV8469,sk14(iV8469)) ),
inference(resolution,[status(thm)],[p887,c64]) ).
cnf(p3225,plain,
( ~ spl226
| cC2(sk14(iV8469)) ),
inference(resolution,[status(thm)],[c162,p931]) ).
cnf(c65,plain,
( ~ cC2(sk14(X0))
| ~ cC48(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p932,plain,
( ~ spl226
| ~ cC2(sk14(iV8469)) ),
inference(resolution,[status(thm)],[p887,c65]) ).
cnf(p3226,plain,
( ~ spl226
| $false ),
inference(resolution,[status(thm)],[p3225,p932]) ).
cnf(sct52,plain,
~ spl226,
inference(avatar_contradiction_clause,[status(thm)],[p3226]) ).
fof(f73,axiom,
! [X] :
( rR1(iV8471,X)
=> cC2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
fof(f73_nnf,plain,
! [X] :
( cC2(X)
| ~ rR1(iV8471,X) ),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
! [X] :
( cC2(X)
| ~ rR1(iV8471,X) ),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c169,plain,
( cC2(X0)
| ~ rR1(iV8471,X0) ),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
fof(sdef183,definition,
( spl183
<=> cC22(iV8471) ),
introduced(definition,[new_symbols(naming,[spl183])],[avatar_definition]) ).
cnf(p755,plain,
( ~ spl183
| cC22(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef183]) ).
fof(f8,axiom,
! [X] :
( cC22(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC22(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC22(X) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y] :
( ( cC2(Y)
| ~ rR1(X,Y)
| cC22(X) )
& ( ( ~ cC2(sk4(X))
& rR1(X,sk4(X)) )
| ~ cC22(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f8_nnf]) ).
cnf(c22,plain,
( rR1(X0,sk4(X0))
| ~ cC22(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p791,plain,
( ~ spl183
| rR1(iV8471,sk4(iV8471)) ),
inference(resolution,[status(thm)],[p755,c22]) ).
cnf(p3231,plain,
( ~ spl183
| cC2(sk4(iV8471)) ),
inference(resolution,[status(thm)],[c169,p791]) ).
cnf(c23,plain,
( ~ cC2(sk4(X0))
| ~ cC22(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p792,plain,
( ~ spl183
| ~ cC2(sk4(iV8471)) ),
inference(resolution,[status(thm)],[p755,c23]) ).
cnf(p3237,plain,
( ~ spl183
| $false ),
inference(resolution,[status(thm)],[p3231,p792]) ).
cnf(sct53,plain,
~ spl183,
inference(avatar_contradiction_clause,[status(thm)],[p3237]) ).
fof(sdef198,definition,
( spl198
<=> cC48(iV8471) ),
introduced(definition,[new_symbols(naming,[spl198])],[avatar_definition]) ).
cnf(p780,plain,
( ~ spl198
| cC48(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef198]) ).
cnf(p817,plain,
( ~ spl198
| rR1(iV8471,sk14(iV8471)) ),
inference(resolution,[status(thm)],[p780,c64]) ).
cnf(p3233,plain,
( ~ spl198
| cC2(sk14(iV8471)) ),
inference(resolution,[status(thm)],[c169,p817]) ).
cnf(p818,plain,
( ~ spl198
| ~ cC2(sk14(iV8471)) ),
inference(resolution,[status(thm)],[p780,c65]) ).
cnf(p3238,plain,
( ~ spl198
| $false ),
inference(resolution,[status(thm)],[p3233,p818]) ).
cnf(sct54,plain,
~ spl198,
inference(avatar_contradiction_clause,[status(thm)],[p3238]) ).
fof(f79,axiom,
! [X] :
( rR1(iV8474,X)
=> ~ cC2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(f79_nnf,plain,
! [X] :
( ~ cC2(X)
| ~ rR1(iV8474,X) ),
inference(nnf_transformation,[status(thm)],[f79]) ).
fof(f79_sk,plain,
! [X] :
( ~ cC2(X)
| ~ rR1(iV8474,X) ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c175,plain,
( ~ cC2(X0)
| ~ rR1(iV8474,X0) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
fof(sdef121,definition,
( spl121
<=> cC36(iV8474) ),
introduced(definition,[new_symbols(naming,[spl121])],[avatar_definition]) ).
cnf(p531,plain,
( ~ spl121
| cC36(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef121]) ).
fof(f15,axiom,
! [X] :
( cC36(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f15_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC36(X) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC36(X) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC36(X) )
& ( ( cC2(sk9(X))
& rR1(X,sk9(X)) )
| ~ cC36(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk9])],[f15_nnf]) ).
cnf(c43,plain,
( rR1(X0,sk9(X0))
| ~ cC36(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p553,plain,
( ~ spl121
| rR1(iV8474,sk9(iV8474)) ),
inference(resolution,[status(thm)],[p531,c43]) ).
cnf(p3240,plain,
( ~ spl121
| ~ cC2(sk9(iV8474)) ),
inference(resolution,[status(thm)],[c175,p553]) ).
cnf(c44,plain,
( cC2(sk9(X0))
| ~ cC36(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p554,plain,
( ~ spl121
| cC2(sk9(iV8474)) ),
inference(resolution,[status(thm)],[p531,c44]) ).
cnf(p3267,plain,
( ~ spl121
| $false ),
inference(resolution,[status(thm)],[p3240,p554]) ).
cnf(sct55,plain,
~ spl121,
inference(avatar_contradiction_clause,[status(thm)],[p3267]) ).
fof(sdef230,definition,
( spl230
<=> cC50(iV8474) ),
introduced(definition,[new_symbols(naming,[spl230])],[avatar_definition]) ).
cnf(p894,plain,
( ~ spl230
| cC50(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef230]) ).
fof(f23,axiom,
! [X] :
( cC50(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f23_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC50(X) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC50(X) ) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X,Y] :
( ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC50(X) )
& ( ( cC2(sk15(X))
& rR1(X,sk15(X)) )
| ~ cC50(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk15])],[f23_nnf]) ).
cnf(c67,plain,
( rR1(X0,sk15(X0))
| ~ cC50(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p939,plain,
( ~ spl230
| rR1(iV8474,sk15(iV8474)) ),
inference(resolution,[status(thm)],[p894,c67]) ).
cnf(p3241,plain,
( ~ spl230
| ~ cC2(sk15(iV8474)) ),
inference(resolution,[status(thm)],[c175,p939]) ).
cnf(c68,plain,
( cC2(sk15(X0))
| ~ cC50(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p940,plain,
( ~ spl230
| cC2(sk15(iV8474)) ),
inference(resolution,[status(thm)],[p894,c68]) ).
cnf(p3268,plain,
( ~ spl230
| $false ),
inference(resolution,[status(thm)],[p3241,p940]) ).
cnf(sct56,plain,
~ spl230,
inference(avatar_contradiction_clause,[status(thm)],[p3268]) ).
fof(f39,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f39_nnf,plain,
! [X] :
( ( ! [Y] :
( cC6(Y)
| ~ rR1(X,Y) )
| cC8(X) )
& ( ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X,Y] :
( ( cC6(Y)
| ~ rR1(X,Y)
| cC8(X) )
& ( ( ~ cC6(sk25(X))
& rR1(X,sk25(X)) )
| ~ cC8(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk25])],[f39_nnf]) ).
cnf(c117,plain,
( cC6(X1)
| ~ rR1(X0,X1)
| cC8(X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
fof(f58,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f58_nnf,plain,
rR1(iV8467,iV8469),
inference(nnf_transformation,[status(thm)],[f58]) ).
cnf(c154,plain,
rR1(iV8467,iV8469),
inference(cnf_transformation,[status(esa)],[f58_nnf]) ).
cnf(p1969,plain,
( cC6(iV8469)
| cC8(iV8467) ),
inference(resolution,[status(thm)],[c117,c154]) ).
fof(f65,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f65_nnf,plain,
~ cC6(iV8469),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
~ cC6(iV8469),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c161,plain,
~ cC6(iV8469),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p3337,plain,
cC8(iV8467),
inference(resolution,[status(thm)],[p1969,c161]) ).
fof(sdef9,definition,
( spl9
<=> ~ cC8(iV8467) ),
introduced(definition,[new_symbols(naming,[spl9])],[avatar_definition]) ).
cnf(p192,plain,
( ~ spl9
| ~ cC8(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef9]) ).
cnf(p3368,plain,
( ~ spl9
| $false ),
inference(resolution,[status(thm)],[p3337,p192]) ).
cnf(sct57,plain,
~ spl9,
inference(avatar_contradiction_clause,[status(thm)],[p3368]) ).
fof(sdef39,definition,
( spl39
<=> cC14(iV8469) ),
introduced(definition,[new_symbols(naming,[spl39])],[avatar_definition]) ).
cnf(p254,plain,
( ~ spl39
| cC14(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef39]) ).
fof(f4,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cTOP(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ( ? [Y] :
( cTOP(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( ( ~ cTOP(Y)
| ~ rR1(X,Y)
| cC14(X) )
& ( ( cTOP(sk1(X))
& rR1(X,sk1(X)) )
| ~ cC14(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f4_nnf]) ).
cnf(c10,plain,
( rR1(X0,sk1(X0))
| ~ cC14(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p267,plain,
( ~ spl39
| rR1(iV8469,sk1(iV8469)) ),
inference(resolution,[status(thm)],[p254,c10]) ).
fof(f27,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f27_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC58(X) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC58(X) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y] :
( ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC58(X) )
& ( ( cC2(sk17(X))
& rR1(X,sk17(X)) )
| ~ cC58(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk17])],[f27_nnf]) ).
cnf(c81,plain,
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC58(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p1140,plain,
( ~ spl39
| ~ cC2(sk1(iV8469))
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p267,c81]) ).
cnf(p3224,plain,
( ~ spl39
| cC2(sk1(iV8469)) ),
inference(resolution,[status(thm)],[c162,p267]) ).
cnf(p4290,plain,
( ~ spl39
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p1140,p3224]) ).
cnf(c87,plain,
( cC2(X0)
| ~ cC58(X0)
| cC60(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p4293,plain,
( ~ spl39
| cC2(iV8469)
| cC60(iV8469) ),
inference(resolution,[status(thm)],[p4290,c87]) ).
fof(sdef248,definition,
( spl248
<=> ~ cC60(iV8469) ),
introduced(definition,[new_symbols(naming,[spl248])],[avatar_definition]) ).
cnf(p1005,plain,
( ~ spl248
| ~ cC60(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef248]) ).
cnf(p4313,plain,
( ~ spl248
| ~ spl39
| cC2(iV8469) ),
inference(resolution,[status(thm)],[p4293,p1005]) ).
cnf(p4314,plain,
( ~ spl248
| ~ spl96
| ~ spl39
| $false ),
inference(resolution,[status(thm)],[p4313,p445]) ).
cnf(sct58,plain,
( ~ spl248
| ~ spl96
| ~ spl39 ),
inference(avatar_contradiction_clause,[status(thm)],[p4314]) ).
fof(sdef44,definition,
( spl44
<=> cC14(iV8474) ),
introduced(definition,[new_symbols(naming,[spl44])],[avatar_definition]) ).
cnf(p278,plain,
( ~ spl44
| cC14(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef44]) ).
cnf(p281,plain,
( ~ spl44
| rR1(iV8474,sk1(iV8474)) ),
inference(resolution,[status(thm)],[p278,c10]) ).
cnf(c24,plain,
( cC2(X1)
| ~ rR1(X0,X1)
| cC22(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p1193,plain,
( ~ spl44
| cC2(sk1(iV8474))
| cC22(iV8474) ),
inference(resolution,[status(thm)],[p281,c24]) ).
cnf(p3239,plain,
( ~ spl44
| ~ cC2(sk1(iV8474)) ),
inference(resolution,[status(thm)],[c175,p281]) ).
cnf(p4482,plain,
( ~ spl44
| cC22(iV8474) ),
inference(resolution,[status(thm)],[p1193,p3239]) ).
fof(sdef72,definition,
( spl72
<=> ~ cC22(iV8474) ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p366,plain,
( ~ spl72
| ~ cC22(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
cnf(p4485,plain,
( ~ spl72
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p4482,p366]) ).
cnf(sct59,plain,
( ~ spl72
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p4485]) ).
fof(sdef103,definition,
( spl103
<=> cC32(iV8471) ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p466,plain,
( ~ spl103
| cC32(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
fof(f13,axiom,
! [X] :
( cC32(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f13_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC32(X) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC32(X) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X,Y] :
( ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) )
& ( ( cC2(sk7(X))
& rR1(X,sk7(X)) )
| ~ cC32(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f13_nnf]) ).
cnf(c37,plain,
( rR1(X0,sk7(X0))
| ~ cC32(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p488,plain,
( ~ spl103
| rR1(iV8471,sk7(iV8471)) ),
inference(resolution,[status(thm)],[p466,c37]) ).
cnf(p1548,plain,
( ~ spl103
| ~ cC2(sk7(iV8471))
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p488,c81]) ).
cnf(c38,plain,
( cC2(sk7(X0))
| ~ cC32(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p489,plain,
( ~ spl103
| cC2(sk7(iV8471)) ),
inference(resolution,[status(thm)],[p466,c38]) ).
cnf(p5540,plain,
( ~ spl103
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p1548,p489]) ).
cnf(p5543,plain,
( ~ spl103
| cC2(iV8471)
| cC60(iV8471) ),
inference(resolution,[status(thm)],[p5540,c87]) ).
fof(sdef245,definition,
( spl245
<=> ~ cC60(iV8471) ),
introduced(definition,[new_symbols(naming,[spl245])],[avatar_definition]) ).
cnf(p999,plain,
( ~ spl245
| ~ cC60(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef245]) ).
cnf(p5564,plain,
( ~ spl245
| ~ spl103
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p5543,p999]) ).
cnf(p5565,plain,
( ~ spl245
| ~ spl103
| $false ),
inference(resolution,[status(thm)],[p5564,c166]) ).
cnf(sct60,plain,
( ~ spl245
| ~ spl103 ),
inference(avatar_contradiction_clause,[status(thm)],[p5565]) ).
fof(sdef104,definition,
( spl104
<=> cC32(iV8473) ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p468,plain,
( ~ spl104
| cC32(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
cnf(p490,plain,
( ~ spl104
| rR1(iV8473,sk7(iV8473)) ),
inference(resolution,[status(thm)],[p468,c37]) ).
cnf(p1566,plain,
( ~ spl104
| ~ cC2(sk7(iV8473))
| cC58(iV8473) ),
inference(resolution,[status(thm)],[p490,c81]) ).
cnf(p491,plain,
( ~ spl104
| cC2(sk7(iV8473)) ),
inference(resolution,[status(thm)],[p468,c38]) ).
cnf(p5666,plain,
( ~ spl104
| cC58(iV8473) ),
inference(resolution,[status(thm)],[p1566,p491]) ).
cnf(p5669,plain,
( ~ spl104
| cC2(iV8473)
| cC60(iV8473) ),
inference(resolution,[status(thm)],[p5666,c87]) ).
fof(sdef246,definition,
( spl246
<=> ~ cC60(iV8473) ),
introduced(definition,[new_symbols(naming,[spl246])],[avatar_definition]) ).
cnf(p1001,plain,
( ~ spl246
| ~ cC60(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef246]) ).
cnf(p5690,plain,
( ~ spl246
| ~ spl104
| cC2(iV8473) ),
inference(resolution,[status(thm)],[p5669,p1001]) ).
cnf(p5691,plain,
( ~ spl246
| ~ spl104
| $false ),
inference(resolution,[status(thm)],[p5690,c173]) ).
cnf(sct61,plain,
( ~ spl246
| ~ spl104 ),
inference(avatar_contradiction_clause,[status(thm)],[p5691]) ).
fof(sdef105,definition,
( spl105
<=> cC32(iV8468) ),
introduced(definition,[new_symbols(naming,[spl105])],[avatar_definition]) ).
cnf(p470,plain,
( ~ spl105
| cC32(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef105]) ).
cnf(p492,plain,
( ~ spl105
| rR1(iV8468,sk7(iV8468)) ),
inference(resolution,[status(thm)],[p470,c37]) ).
cnf(p1584,plain,
( ~ spl105
| ~ cC2(sk7(iV8468))
| cC58(iV8468) ),
inference(resolution,[status(thm)],[p492,c81]) ).
cnf(p493,plain,
( ~ spl105
| cC2(sk7(iV8468)) ),
inference(resolution,[status(thm)],[p470,c38]) ).
cnf(p5748,plain,
( ~ spl105
| cC58(iV8468) ),
inference(resolution,[status(thm)],[p1584,p493]) ).
cnf(p5751,plain,
( ~ spl105
| cC2(iV8468)
| cC60(iV8468) ),
inference(resolution,[status(thm)],[p5748,c87]) ).
fof(sdef247,definition,
( spl247
<=> ~ cC60(iV8468) ),
introduced(definition,[new_symbols(naming,[spl247])],[avatar_definition]) ).
cnf(p1003,plain,
( ~ spl247
| ~ cC60(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef247]) ).
cnf(p5772,plain,
( ~ spl247
| ~ spl105
| cC2(iV8468) ),
inference(resolution,[status(thm)],[p5751,p1003]) ).
cnf(p5773,plain,
( ~ spl247
| ~ spl105
| $false ),
inference(resolution,[status(thm)],[p5772,c159]) ).
cnf(sct62,plain,
( ~ spl247
| ~ spl105 ),
inference(avatar_contradiction_clause,[status(thm)],[p5773]) ).
fof(sdef106,definition,
( spl106
<=> cC32(iV8469) ),
introduced(definition,[new_symbols(naming,[spl106])],[avatar_definition]) ).
cnf(p472,plain,
( ~ spl106
| cC32(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef106]) ).
cnf(p494,plain,
( ~ spl106
| rR1(iV8469,sk7(iV8469)) ),
inference(resolution,[status(thm)],[p472,c37]) ).
cnf(p1602,plain,
( ~ spl106
| ~ cC2(sk7(iV8469))
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p494,c81]) ).
cnf(p495,plain,
( ~ spl106
| cC2(sk7(iV8469)) ),
inference(resolution,[status(thm)],[p472,c38]) ).
cnf(p5830,plain,
( ~ spl106
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p1602,p495]) ).
cnf(p5833,plain,
( ~ spl106
| cC2(iV8469)
| cC60(iV8469) ),
inference(resolution,[status(thm)],[p5830,c87]) ).
cnf(p5854,plain,
( ~ spl248
| ~ spl106
| cC2(iV8469) ),
inference(resolution,[status(thm)],[p5833,p1005]) ).
cnf(p5855,plain,
( ~ spl248
| ~ spl106
| ~ spl96
| $false ),
inference(resolution,[status(thm)],[p5854,p445]) ).
cnf(sct63,plain,
( ~ spl248
| ~ spl106
| ~ spl96 ),
inference(avatar_contradiction_clause,[status(thm)],[p5855]) ).
fof(sdef107,definition,
( spl107
<=> cC32(iV8475) ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p474,plain,
( ~ spl107
| cC32(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
cnf(p496,plain,
( ~ spl107
| rR1(iV8475,sk7(iV8475)) ),
inference(resolution,[status(thm)],[p474,c37]) ).
cnf(p1620,plain,
( ~ spl107
| ~ cC2(sk7(iV8475))
| cC58(iV8475) ),
inference(resolution,[status(thm)],[p496,c81]) ).
cnf(p497,plain,
( ~ spl107
| cC2(sk7(iV8475)) ),
inference(resolution,[status(thm)],[p474,c38]) ).
cnf(p5912,plain,
( ~ spl107
| cC58(iV8475) ),
inference(resolution,[status(thm)],[p1620,p497]) ).
cnf(p5915,plain,
( ~ spl107
| cC2(iV8475)
| cC60(iV8475) ),
inference(resolution,[status(thm)],[p5912,c87]) ).
fof(sdef249,definition,
( spl249
<=> ~ cC60(iV8475) ),
introduced(definition,[new_symbols(naming,[spl249])],[avatar_definition]) ).
cnf(p1007,plain,
( ~ spl249
| ~ cC60(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef249]) ).
cnf(p5936,plain,
( ~ spl249
| ~ spl107
| cC2(iV8475) ),
inference(resolution,[status(thm)],[p5915,p1007]) ).
cnf(p5937,plain,
( ~ spl249
| ~ spl107
| $false ),
inference(resolution,[status(thm)],[p5936,c178]) ).
cnf(sct64,plain,
( ~ spl249
| ~ spl107 ),
inference(avatar_contradiction_clause,[status(thm)],[p5937]) ).
fof(sdef109,definition,
( spl109
<=> cC32(iV8470) ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p479,plain,
( ~ spl109
| cC32(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
cnf(p499,plain,
( ~ spl109
| rR1(iV8470,sk7(iV8470)) ),
inference(resolution,[status(thm)],[p479,c37]) ).
cnf(p1638,plain,
( ~ spl109
| ~ cC2(sk7(iV8470))
| cC58(iV8470) ),
inference(resolution,[status(thm)],[p499,c81]) ).
cnf(p500,plain,
( ~ spl109
| cC2(sk7(iV8470)) ),
inference(resolution,[status(thm)],[p479,c38]) ).
cnf(p5994,plain,
( ~ spl109
| cC58(iV8470) ),
inference(resolution,[status(thm)],[p1638,p500]) ).
cnf(p5997,plain,
( ~ spl109
| cC2(iV8470)
| cC60(iV8470) ),
inference(resolution,[status(thm)],[p5994,c87]) ).
fof(sdef251,definition,
( spl251
<=> ~ cC60(iV8470) ),
introduced(definition,[new_symbols(naming,[spl251])],[avatar_definition]) ).
cnf(p1012,plain,
( ~ spl251
| ~ cC60(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef251]) ).
cnf(p6018,plain,
( ~ spl251
| ~ spl109
| cC2(iV8470) ),
inference(resolution,[status(thm)],[p5997,p1012]) ).
cnf(p6019,plain,
( ~ spl251
| ~ spl109
| ~ spl98
| $false ),
inference(resolution,[status(thm)],[p6018,p449]) ).
cnf(sct65,plain,
( ~ spl251
| ~ spl109
| ~ spl98 ),
inference(avatar_contradiction_clause,[status(thm)],[p6019]) ).
fof(sdef116,definition,
( spl116
<=> cC36(iV8471) ),
introduced(definition,[new_symbols(naming,[spl116])],[avatar_definition]) ).
cnf(p520,plain,
( ~ spl116
| cC36(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef116]) ).
cnf(p541,plain,
( ~ spl116
| rR1(iV8471,sk9(iV8471)) ),
inference(resolution,[status(thm)],[p520,c43]) ).
cnf(p1756,plain,
( ~ spl116
| ~ cC2(sk9(iV8471))
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p541,c81]) ).
cnf(p542,plain,
( ~ spl116
| cC2(sk9(iV8471)) ),
inference(resolution,[status(thm)],[p520,c44]) ).
cnf(p6448,plain,
( ~ spl116
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p1756,p542]) ).
cnf(p6451,plain,
( ~ spl116
| cC2(iV8471)
| cC60(iV8471) ),
inference(resolution,[status(thm)],[p6448,c87]) ).
cnf(p6472,plain,
( ~ spl245
| ~ spl116
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p6451,p999]) ).
cnf(p6473,plain,
( ~ spl245
| ~ spl116
| $false ),
inference(resolution,[status(thm)],[p6472,c166]) ).
cnf(sct66,plain,
( ~ spl245
| ~ spl116 ),
inference(avatar_contradiction_clause,[status(thm)],[p6473]) ).
fof(sdef117,definition,
( spl117
<=> cC36(iV8473) ),
introduced(definition,[new_symbols(naming,[spl117])],[avatar_definition]) ).
cnf(p522,plain,
( ~ spl117
| cC36(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef117]) ).
cnf(p543,plain,
( ~ spl117
| rR1(iV8473,sk9(iV8473)) ),
inference(resolution,[status(thm)],[p522,c43]) ).
cnf(p1805,plain,
( ~ spl117
| ~ cC2(sk9(iV8473))
| cC58(iV8473) ),
inference(resolution,[status(thm)],[p543,c81]) ).
cnf(p544,plain,
( ~ spl117
| cC2(sk9(iV8473)) ),
inference(resolution,[status(thm)],[p522,c44]) ).
cnf(p6805,plain,
( ~ spl117
| cC58(iV8473) ),
inference(resolution,[status(thm)],[p1805,p544]) ).
cnf(p6808,plain,
( ~ spl117
| cC2(iV8473)
| cC60(iV8473) ),
inference(resolution,[status(thm)],[p6805,c87]) ).
cnf(p6829,plain,
( ~ spl246
| ~ spl117
| cC2(iV8473) ),
inference(resolution,[status(thm)],[p6808,p1001]) ).
cnf(p6831,plain,
( ~ spl246
| ~ spl117
| $false ),
inference(resolution,[status(thm)],[p6829,c173]) ).
cnf(sct67,plain,
( ~ spl246
| ~ spl117 ),
inference(avatar_contradiction_clause,[status(thm)],[p6831]) ).
fof(sdef118,definition,
( spl118
<=> cC36(iV8468) ),
introduced(definition,[new_symbols(naming,[spl118])],[avatar_definition]) ).
cnf(p524,plain,
( ~ spl118
| cC36(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef118]) ).
cnf(p545,plain,
( ~ spl118
| rR1(iV8468,sk9(iV8468)) ),
inference(resolution,[status(thm)],[p524,c43]) ).
cnf(p1823,plain,
( ~ spl118
| ~ cC2(sk9(iV8468))
| cC58(iV8468) ),
inference(resolution,[status(thm)],[p545,c81]) ).
cnf(p546,plain,
( ~ spl118
| cC2(sk9(iV8468)) ),
inference(resolution,[status(thm)],[p524,c44]) ).
cnf(p6888,plain,
( ~ spl118
| cC58(iV8468) ),
inference(resolution,[status(thm)],[p1823,p546]) ).
cnf(p6891,plain,
( ~ spl118
| cC2(iV8468)
| cC60(iV8468) ),
inference(resolution,[status(thm)],[p6888,c87]) ).
cnf(p6912,plain,
( ~ spl247
| ~ spl118
| cC2(iV8468) ),
inference(resolution,[status(thm)],[p6891,p1003]) ).
cnf(p6913,plain,
( ~ spl247
| ~ spl118
| $false ),
inference(resolution,[status(thm)],[p6912,c159]) ).
cnf(sct68,plain,
( ~ spl247
| ~ spl118 ),
inference(avatar_contradiction_clause,[status(thm)],[p6913]) ).
fof(sdef119,definition,
( spl119
<=> cC36(iV8469) ),
introduced(definition,[new_symbols(naming,[spl119])],[avatar_definition]) ).
cnf(p526,plain,
( ~ spl119
| cC36(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef119]) ).
cnf(p549,plain,
( ~ spl119
| rR1(iV8469,sk9(iV8469)) ),
inference(resolution,[status(thm)],[p526,c43]) ).
cnf(p1841,plain,
( ~ spl119
| ~ cC2(sk9(iV8469))
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p549,c81]) ).
cnf(p550,plain,
( ~ spl119
| cC2(sk9(iV8469)) ),
inference(resolution,[status(thm)],[p526,c44]) ).
cnf(p6970,plain,
( ~ spl119
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p1841,p550]) ).
cnf(p6973,plain,
( ~ spl119
| cC2(iV8469)
| cC60(iV8469) ),
inference(resolution,[status(thm)],[p6970,c87]) ).
cnf(p6994,plain,
( ~ spl248
| ~ spl119
| cC2(iV8469) ),
inference(resolution,[status(thm)],[p6973,p1005]) ).
cnf(p6995,plain,
( ~ spl248
| ~ spl119
| ~ spl96
| $false ),
inference(resolution,[status(thm)],[p6994,p445]) ).
cnf(sct69,plain,
( ~ spl248
| ~ spl119
| ~ spl96 ),
inference(avatar_contradiction_clause,[status(thm)],[p6995]) ).
fof(sdef120,definition,
( spl120
<=> cC36(iV8475) ),
introduced(definition,[new_symbols(naming,[spl120])],[avatar_definition]) ).
cnf(p528,plain,
( ~ spl120
| cC36(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef120]) ).
cnf(p551,plain,
( ~ spl120
| rR1(iV8475,sk9(iV8475)) ),
inference(resolution,[status(thm)],[p528,c43]) ).
cnf(p1859,plain,
( ~ spl120
| ~ cC2(sk9(iV8475))
| cC58(iV8475) ),
inference(resolution,[status(thm)],[p551,c81]) ).
cnf(p552,plain,
( ~ spl120
| cC2(sk9(iV8475)) ),
inference(resolution,[status(thm)],[p528,c44]) ).
cnf(p7052,plain,
( ~ spl120
| cC58(iV8475) ),
inference(resolution,[status(thm)],[p1859,p552]) ).
cnf(p7055,plain,
( ~ spl120
| cC2(iV8475)
| cC60(iV8475) ),
inference(resolution,[status(thm)],[p7052,c87]) ).
cnf(p7076,plain,
( ~ spl249
| ~ spl120
| cC2(iV8475) ),
inference(resolution,[status(thm)],[p7055,p1007]) ).
cnf(p7077,plain,
( ~ spl249
| ~ spl120
| $false ),
inference(resolution,[status(thm)],[p7076,c178]) ).
cnf(sct70,plain,
( ~ spl249
| ~ spl120 ),
inference(avatar_contradiction_clause,[status(thm)],[p7077]) ).
fof(sdef122,definition,
( spl122
<=> cC36(iV8470) ),
introduced(definition,[new_symbols(naming,[spl122])],[avatar_definition]) ).
cnf(p533,plain,
( ~ spl122
| cC36(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef122]) ).
cnf(p555,plain,
( ~ spl122
| rR1(iV8470,sk9(iV8470)) ),
inference(resolution,[status(thm)],[p533,c43]) ).
cnf(p1897,plain,
( ~ spl122
| ~ cC2(sk9(iV8470))
| cC58(iV8470) ),
inference(resolution,[status(thm)],[p555,c81]) ).
cnf(p556,plain,
( ~ spl122
| cC2(sk9(iV8470)) ),
inference(resolution,[status(thm)],[p533,c44]) ).
cnf(p7192,plain,
( ~ spl122
| cC58(iV8470) ),
inference(resolution,[status(thm)],[p1897,p556]) ).
cnf(p7195,plain,
( ~ spl122
| cC2(iV8470)
| cC60(iV8470) ),
inference(resolution,[status(thm)],[p7192,c87]) ).
cnf(p7216,plain,
( ~ spl251
| ~ spl122
| cC2(iV8470) ),
inference(resolution,[status(thm)],[p7195,p1012]) ).
cnf(p7217,plain,
( ~ spl251
| ~ spl122
| ~ spl98
| $false ),
inference(resolution,[status(thm)],[p7216,p449]) ).
cnf(sct71,plain,
( ~ spl251
| ~ spl122
| ~ spl98 ),
inference(avatar_contradiction_clause,[status(thm)],[p7217]) ).
fof(f16,axiom,
! [X] :
( cC38(X)
<=> ? [Y] :
( ~ cC36(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f16_nnf,plain,
! [X] :
( ( ! [Y] :
( cC36(Y)
| ~ rR1(X,Y) )
| cC38(X) )
& ( ? [Y] :
( ~ cC36(Y)
& rR1(X,Y) )
| ~ cC38(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y] :
( ( cC36(Y)
| ~ rR1(X,Y)
| cC38(X) )
& ( ( ~ cC36(sk10(X))
& rR1(X,sk10(X)) )
| ~ cC38(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f16_nnf]) ).
cnf(c46,plain,
( rR1(X0,sk10(X0))
| ~ cC38(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p803,plain,
( ~ spl191
| rR1(iV8471,sk10(iV8471)) ),
inference(resolution,[status(thm)],[p769,c46]) ).
cnf(p2220,plain,
( ~ spl191
| ~ cC2(sk10(iV8471))
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p803,c81]) ).
cnf(p3232,plain,
( ~ spl191
| cC2(sk10(iV8471)) ),
inference(resolution,[status(thm)],[c169,p803]) ).
cnf(p8232,plain,
( ~ spl191
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p2220,p3232]) ).
cnf(p8235,plain,
( ~ spl191
| cC2(iV8471)
| cC60(iV8471) ),
inference(resolution,[status(thm)],[p8232,c87]) ).
cnf(p8255,plain,
( ~ spl245
| ~ spl191
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p8235,p999]) ).
cnf(p8256,plain,
( ~ spl245
| ~ spl191
| $false ),
inference(resolution,[status(thm)],[p8255,c166]) ).
cnf(sct72,plain,
( ~ spl245
| ~ spl191 ),
inference(avatar_contradiction_clause,[status(thm)],[p8256]) ).
fof(sdef199,definition,
( spl199
<=> cC50(iV8471) ),
introduced(definition,[new_symbols(naming,[spl199])],[avatar_definition]) ).
cnf(p782,plain,
( ~ spl199
| cC50(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef199]) ).
cnf(p819,plain,
( ~ spl199
| rR1(iV8471,sk15(iV8471)) ),
inference(resolution,[status(thm)],[p782,c67]) ).
cnf(p2261,plain,
( ~ spl199
| ~ cC2(sk15(iV8471))
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p819,c81]) ).
cnf(p820,plain,
( ~ spl199
| cC2(sk15(iV8471)) ),
inference(resolution,[status(thm)],[p782,c68]) ).
cnf(p8313,plain,
( ~ spl199
| cC58(iV8471) ),
inference(resolution,[status(thm)],[p2261,p820]) ).
cnf(p8316,plain,
( ~ spl199
| cC2(iV8471)
| cC60(iV8471) ),
inference(resolution,[status(thm)],[p8313,c87]) ).
cnf(p8337,plain,
( ~ spl245
| ~ spl199
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p8316,p999]) ).
cnf(p8338,plain,
( ~ spl245
| ~ spl199
| $false ),
inference(resolution,[status(thm)],[p8337,c166]) ).
cnf(sct73,plain,
( ~ spl245
| ~ spl199 ),
inference(avatar_contradiction_clause,[status(thm)],[p8338]) ).
fof(sdef221,definition,
( spl221
<=> cC50(iV8473) ),
introduced(definition,[new_symbols(naming,[spl221])],[avatar_definition]) ).
cnf(p880,plain,
( ~ spl221
| cC50(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef221]) ).
cnf(p912,plain,
( ~ spl221
| rR1(iV8473,sk15(iV8473)) ),
inference(resolution,[status(thm)],[p880,c67]) ).
cnf(p2448,plain,
( ~ spl221
| ~ cC2(sk15(iV8473))
| cC58(iV8473) ),
inference(resolution,[status(thm)],[p912,c81]) ).
cnf(p913,plain,
( ~ spl221
| cC2(sk15(iV8473)) ),
inference(resolution,[status(thm)],[p880,c68]) ).
cnf(p8915,plain,
( ~ spl221
| cC58(iV8473) ),
inference(resolution,[status(thm)],[p2448,p913]) ).
cnf(p8918,plain,
( ~ spl221
| cC2(iV8473)
| cC60(iV8473) ),
inference(resolution,[status(thm)],[p8915,c87]) ).
cnf(p8939,plain,
( ~ spl246
| ~ spl221
| cC2(iV8473) ),
inference(resolution,[status(thm)],[p8918,p1001]) ).
cnf(p8940,plain,
( ~ spl246
| ~ spl221
| $false ),
inference(resolution,[status(thm)],[p8939,c173]) ).
cnf(sct74,plain,
( ~ spl246
| ~ spl221 ),
inference(avatar_contradiction_clause,[status(thm)],[p8940]) ).
fof(sdef222,definition,
( spl222
<=> cC48(iV8473) ),
introduced(definition,[new_symbols(naming,[spl222])],[avatar_definition]) ).
cnf(p881,plain,
( ~ spl222
| cC48(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef222]) ).
cnf(p923,plain,
( ~ spl222
| rR1(iV8473,sk14(iV8473)) ),
inference(resolution,[status(thm)],[p881,c64]) ).
cnf(p2460,plain,
( ~ spl222
| cC2(sk14(iV8473))
| cC22(iV8473) ),
inference(resolution,[status(thm)],[p923,c24]) ).
cnf(p924,plain,
( ~ spl222
| ~ cC2(sk14(iV8473)) ),
inference(resolution,[status(thm)],[p881,c65]) ).
cnf(p8946,plain,
( ~ spl222
| cC22(iV8473) ),
inference(resolution,[status(thm)],[p2460,p924]) ).
fof(sdef67,definition,
( spl67
<=> ~ cC22(iV8473) ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p356,plain,
( ~ spl67
| ~ cC22(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
cnf(p8949,plain,
( ~ spl222
| ~ spl67
| $false ),
inference(resolution,[status(thm)],[p8946,p356]) ).
cnf(sct75,plain,
( ~ spl222
| ~ spl67 ),
inference(avatar_contradiction_clause,[status(thm)],[p8949]) ).
fof(sdef223,definition,
( spl223
<=> cC50(iV8468) ),
introduced(definition,[new_symbols(naming,[spl223])],[avatar_definition]) ).
cnf(p883,plain,
( ~ spl223
| cC50(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef223]) ).
cnf(p925,plain,
( ~ spl223
| rR1(iV8468,sk15(iV8468)) ),
inference(resolution,[status(thm)],[p883,c67]) ).
cnf(p2489,plain,
( ~ spl223
| ~ cC2(sk15(iV8468))
| cC58(iV8468) ),
inference(resolution,[status(thm)],[p925,c81]) ).
cnf(p926,plain,
( ~ spl223
| cC2(sk15(iV8468)) ),
inference(resolution,[status(thm)],[p883,c68]) ).
cnf(p9133,plain,
( ~ spl223
| cC58(iV8468) ),
inference(resolution,[status(thm)],[p2489,p926]) ).
cnf(p9136,plain,
( ~ spl223
| cC2(iV8468)
| cC60(iV8468) ),
inference(resolution,[status(thm)],[p9133,c87]) ).
cnf(p9157,plain,
( ~ spl247
| ~ spl223
| cC2(iV8468) ),
inference(resolution,[status(thm)],[p9136,p1003]) ).
cnf(p9159,plain,
( ~ spl247
| ~ spl223
| $false ),
inference(resolution,[status(thm)],[p9157,c159]) ).
cnf(sct76,plain,
( ~ spl247
| ~ spl223 ),
inference(avatar_contradiction_clause,[status(thm)],[p9159]) ).
fof(sdef224,definition,
( spl224
<=> cC48(iV8468) ),
introduced(definition,[new_symbols(naming,[spl224])],[avatar_definition]) ).
cnf(p884,plain,
( ~ spl224
| cC48(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef224]) ).
cnf(p927,plain,
( ~ spl224
| rR1(iV8468,sk14(iV8468)) ),
inference(resolution,[status(thm)],[p884,c64]) ).
cnf(p2501,plain,
( ~ spl224
| cC2(sk14(iV8468))
| cC22(iV8468) ),
inference(resolution,[status(thm)],[p927,c24]) ).
cnf(p928,plain,
( ~ spl224
| ~ cC2(sk14(iV8468)) ),
inference(resolution,[status(thm)],[p884,c65]) ).
cnf(p9189,plain,
( ~ spl224
| cC22(iV8468) ),
inference(resolution,[status(thm)],[p2501,p928]) ).
fof(sdef68,definition,
( spl68
<=> ~ cC22(iV8468) ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p358,plain,
( ~ spl68
| ~ cC22(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
cnf(p9192,plain,
( ~ spl224
| ~ spl68
| $false ),
inference(resolution,[status(thm)],[p9189,p358]) ).
cnf(sct77,plain,
( ~ spl224
| ~ spl68 ),
inference(avatar_contradiction_clause,[status(thm)],[p9192]) ).
fof(sdef225,definition,
( spl225
<=> cC50(iV8469) ),
introduced(definition,[new_symbols(naming,[spl225])],[avatar_definition]) ).
cnf(p886,plain,
( ~ spl225
| cC50(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef225]) ).
cnf(p929,plain,
( ~ spl225
| rR1(iV8469,sk15(iV8469)) ),
inference(resolution,[status(thm)],[p886,c67]) ).
cnf(p2530,plain,
( ~ spl225
| ~ cC2(sk15(iV8469))
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p929,c81]) ).
cnf(p930,plain,
( ~ spl225
| cC2(sk15(iV8469)) ),
inference(resolution,[status(thm)],[p886,c68]) ).
cnf(p9353,plain,
( ~ spl225
| cC58(iV8469) ),
inference(resolution,[status(thm)],[p2530,p930]) ).
cnf(p9356,plain,
( ~ spl225
| cC2(iV8469)
| cC60(iV8469) ),
inference(resolution,[status(thm)],[p9353,c87]) ).
cnf(p9377,plain,
( ~ spl248
| ~ spl225
| cC2(iV8469) ),
inference(resolution,[status(thm)],[p9356,p1005]) ).
cnf(p9378,plain,
( ~ spl248
| ~ spl225
| ~ spl96
| $false ),
inference(resolution,[status(thm)],[p9377,p445]) ).
cnf(sct78,plain,
( ~ spl248
| ~ spl225
| ~ spl96 ),
inference(avatar_contradiction_clause,[status(thm)],[p9378]) ).
fof(sdef227,definition,
( spl227
<=> cC50(iV8475) ),
introduced(definition,[new_symbols(naming,[spl227])],[avatar_definition]) ).
cnf(p889,plain,
( ~ spl227
| cC50(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef227]) ).
cnf(p933,plain,
( ~ spl227
| rR1(iV8475,sk15(iV8475)) ),
inference(resolution,[status(thm)],[p889,c67]) ).
cnf(p2571,plain,
( ~ spl227
| ~ cC2(sk15(iV8475))
| cC58(iV8475) ),
inference(resolution,[status(thm)],[p933,c81]) ).
cnf(p934,plain,
( ~ spl227
| cC2(sk15(iV8475)) ),
inference(resolution,[status(thm)],[p889,c68]) ).
cnf(p9435,plain,
( ~ spl227
| cC58(iV8475) ),
inference(resolution,[status(thm)],[p2571,p934]) ).
cnf(p9438,plain,
( ~ spl227
| cC2(iV8475)
| cC60(iV8475) ),
inference(resolution,[status(thm)],[p9435,c87]) ).
cnf(p9459,plain,
( ~ spl249
| ~ spl227
| cC2(iV8475) ),
inference(resolution,[status(thm)],[p9438,p1007]) ).
cnf(p9460,plain,
( ~ spl249
| ~ spl227
| $false ),
inference(resolution,[status(thm)],[p9459,c178]) ).
cnf(sct79,plain,
( ~ spl249
| ~ spl227 ),
inference(avatar_contradiction_clause,[status(thm)],[p9460]) ).
fof(sdef228,definition,
( spl228
<=> cC48(iV8475) ),
introduced(definition,[new_symbols(naming,[spl228])],[avatar_definition]) ).
cnf(p890,plain,
( ~ spl228
| cC48(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef228]) ).
cnf(p935,plain,
( ~ spl228
| rR1(iV8475,sk14(iV8475)) ),
inference(resolution,[status(thm)],[p890,c64]) ).
cnf(p2583,plain,
( ~ spl228
| cC2(sk14(iV8475))
| cC22(iV8475) ),
inference(resolution,[status(thm)],[p935,c24]) ).
cnf(p936,plain,
( ~ spl228
| ~ cC2(sk14(iV8475)) ),
inference(resolution,[status(thm)],[p890,c65]) ).
cnf(p9466,plain,
( ~ spl228
| cC22(iV8475) ),
inference(resolution,[status(thm)],[p2583,p936]) ).
fof(sdef70,definition,
( spl70
<=> ~ cC22(iV8475) ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p362,plain,
( ~ spl70
| ~ cC22(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
cnf(p9469,plain,
( ~ spl228
| ~ spl70
| $false ),
inference(resolution,[status(thm)],[p9466,p362]) ).
cnf(sct80,plain,
( ~ spl228
| ~ spl70 ),
inference(avatar_contradiction_clause,[status(thm)],[p9469]) ).
fof(sdef229,definition,
( spl229
<=> cC48(iV8472) ),
introduced(definition,[new_symbols(naming,[spl229])],[avatar_definition]) ).
cnf(p892,plain,
( ~ spl229
| cC48(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef229]) ).
cnf(p937,plain,
( ~ spl229
| rR1(iV8472,sk14(iV8472)) ),
inference(resolution,[status(thm)],[p892,c64]) ).
fof(f7,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] :
( ( cC2(Y)
| ~ rR1(X,Y)
| cC20(X) )
& ( ( ~ cC2(sk3(X))
& rR1(X,sk3(X)) )
| ~ cC20(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f7_nnf]) ).
cnf(c21,plain,
( cC2(X1)
| ~ rR1(X0,X1)
| cC20(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p2603,plain,
( ~ spl229
| cC2(sk14(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p937,c21]) ).
cnf(p938,plain,
( ~ spl229
| ~ cC2(sk14(iV8472)) ),
inference(resolution,[status(thm)],[p892,c65]) ).
cnf(p9599,plain,
( ~ spl229
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p2603,p938]) ).
cnf(p9603,plain,
( ~ spl229
| ~ spl77
| $false ),
inference(resolution,[status(thm)],[p9599,p384]) ).
cnf(sct81,plain,
( ~ spl229
| ~ spl77 ),
inference(avatar_contradiction_clause,[status(thm)],[p9603]) ).
fof(sdef231,definition,
( spl231
<=> cC48(iV8474) ),
introduced(definition,[new_symbols(naming,[spl231])],[avatar_definition]) ).
cnf(p895,plain,
( ~ spl231
| cC48(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef231]) ).
cnf(p941,plain,
( ~ spl231
| rR1(iV8474,sk14(iV8474)) ),
inference(resolution,[status(thm)],[p895,c64]) ).
cnf(p2695,plain,
( ~ spl231
| cC2(sk14(iV8474))
| cC22(iV8474) ),
inference(resolution,[status(thm)],[p941,c24]) ).
cnf(p942,plain,
( ~ spl231
| ~ cC2(sk14(iV8474)) ),
inference(resolution,[status(thm)],[p895,c65]) ).
cnf(p10104,plain,
( ~ spl231
| cC22(iV8474) ),
inference(resolution,[status(thm)],[p2695,p942]) ).
cnf(p10107,plain,
( ~ spl231
| ~ spl72
| $false ),
inference(resolution,[status(thm)],[p10104,p366]) ).
cnf(sct82,plain,
( ~ spl231
| ~ spl72 ),
inference(avatar_contradiction_clause,[status(thm)],[p10107]) ).
fof(sdef232,definition,
( spl232
<=> cC50(iV8470) ),
introduced(definition,[new_symbols(naming,[spl232])],[avatar_definition]) ).
cnf(p897,plain,
( ~ spl232
| cC50(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef232]) ).
cnf(p943,plain,
( ~ spl232
| rR1(iV8470,sk15(iV8470)) ),
inference(resolution,[status(thm)],[p897,c67]) ).
cnf(p2725,plain,
( ~ spl232
| ~ cC2(sk15(iV8470))
| cC58(iV8470) ),
inference(resolution,[status(thm)],[p943,c81]) ).
cnf(p944,plain,
( ~ spl232
| cC2(sk15(iV8470)) ),
inference(resolution,[status(thm)],[p897,c68]) ).
cnf(p10290,plain,
( ~ spl232
| cC58(iV8470) ),
inference(resolution,[status(thm)],[p2725,p944]) ).
cnf(p10293,plain,
( ~ spl232
| cC2(iV8470)
| cC60(iV8470) ),
inference(resolution,[status(thm)],[p10290,c87]) ).
cnf(p10314,plain,
( ~ spl251
| ~ spl232
| cC2(iV8470) ),
inference(resolution,[status(thm)],[p10293,p1012]) ).
cnf(p10315,plain,
( ~ spl251
| ~ spl232
| ~ spl98
| $false ),
inference(resolution,[status(thm)],[p10314,p449]) ).
cnf(sct83,plain,
( ~ spl251
| ~ spl232
| ~ spl98 ),
inference(avatar_contradiction_clause,[status(thm)],[p10315]) ).
fof(sdef233,definition,
( spl233
<=> cC48(iV8470) ),
introduced(definition,[new_symbols(naming,[spl233])],[avatar_definition]) ).
cnf(p898,plain,
( ~ spl233
| cC48(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef233]) ).
cnf(p945,plain,
( ~ spl233
| rR1(iV8470,sk14(iV8470)) ),
inference(resolution,[status(thm)],[p898,c64]) ).
cnf(p2737,plain,
( ~ spl233
| cC2(sk14(iV8470))
| cC22(iV8470) ),
inference(resolution,[status(thm)],[p945,c24]) ).
cnf(p946,plain,
( ~ spl233
| ~ cC2(sk14(iV8470)) ),
inference(resolution,[status(thm)],[p898,c65]) ).
cnf(p10345,plain,
( ~ spl233
| cC22(iV8470) ),
inference(resolution,[status(thm)],[p2737,p946]) ).
fof(sdef73,definition,
( spl73
<=> ~ cC22(iV8470) ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(p368,plain,
( ~ spl73
| ~ cC22(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef73]) ).
cnf(p10348,plain,
( ~ spl233
| ~ spl73
| $false ),
inference(resolution,[status(thm)],[p10345,p368]) ).
cnf(sct84,plain,
( ~ spl233
| ~ spl73 ),
inference(avatar_contradiction_clause,[status(thm)],[p10348]) ).
fof(sdef235,definition,
( spl235
<=> cC48(iV8476) ),
introduced(definition,[new_symbols(naming,[spl235])],[avatar_definition]) ).
cnf(p903,plain,
( ~ spl235
| cC48(iV8476) ),
inference(avatar_component_clause,[status(thm)],[sdef235]) ).
cnf(p961,plain,
( ~ spl235
| rR1(iV8476,sk14(iV8476)) ),
inference(resolution,[status(thm)],[p903,c64]) ).
cnf(p2779,plain,
( ~ spl235
| cC2(sk14(iV8476))
| cC22(iV8476) ),
inference(resolution,[status(thm)],[p961,c24]) ).
cnf(p962,plain,
( ~ spl235
| ~ cC2(sk14(iV8476)) ),
inference(resolution,[status(thm)],[p903,c65]) ).
cnf(p10581,plain,
( ~ spl235
| cC22(iV8476) ),
inference(resolution,[status(thm)],[p2779,p962]) ).
fof(sdef75,definition,
( spl75
<=> ~ cC22(iV8476) ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p371,plain,
( ~ spl75
| ~ cC22(iV8476) ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
cnf(p10586,plain,
( ~ spl235
| ~ spl75
| $false ),
inference(resolution,[status(thm)],[p10581,p371]) ).
cnf(sct85,plain,
( ~ spl235
| ~ spl75 ),
inference(avatar_contradiction_clause,[status(thm)],[p10586]) ).
fof(sdef252,definition,
( spl252
<=> cC62(iV8472) ),
introduced(definition,[new_symbols(naming,[spl252])],[avatar_definition]) ).
cnf(p1014,plain,
( ~ spl252
| cC62(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef252]) ).
fof(f30,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( cC60(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f30_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) )
| cC62(X) )
& ( ? [Y] :
( cC60(Y)
& rR1(X,Y) )
| ~ cC62(X) ) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X,Y] :
( ( ~ cC60(Y)
| ~ rR1(X,Y)
| cC62(X) )
& ( ( cC60(sk19(X))
& rR1(X,sk19(X)) )
| ~ cC62(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk19])],[f30_nnf]) ).
cnf(c88,plain,
( rR1(X0,sk19(X0))
| ~ cC62(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p1024,plain,
( ~ spl252
| rR1(iV8472,sk19(iV8472)) ),
inference(resolution,[status(thm)],[p1014,c88]) ).
cnf(p2911,plain,
( ~ spl252
| cC2(sk19(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p1024,c21]) ).
cnf(c89,plain,
( cC60(sk19(X0))
| ~ cC62(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p1025,plain,
( ~ spl252
| cC60(sk19(iV8472)) ),
inference(resolution,[status(thm)],[p1014,c89]) ).
cnf(p1063,plain,
( ~ spl252
| ~ cC2(sk19(iV8472)) ),
inference(resolution,[status(thm)],[p1025,c86]) ).
cnf(p11340,plain,
( ~ spl252
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p2911,p1063]) ).
cnf(p11343,plain,
( ~ spl252
| ~ spl77
| $false ),
inference(resolution,[status(thm)],[p11340,p384]) ).
cnf(sct86,plain,
( ~ spl252
| ~ spl77 ),
inference(avatar_contradiction_clause,[status(thm)],[p11343]) ).
fof(f41,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( cC80(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f41_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) )
| cC82(X) )
& ( ? [Y] :
( cC80(Y)
& rR1(X,Y) )
| ~ cC82(X) ) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [X,Y] :
( ( ~ cC80(Y)
| ~ rR1(X,Y)
| cC82(X) )
& ( ( cC80(sk26(X))
& rR1(X,sk26(X)) )
| ~ cC82(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk26])],[f41_nnf]) ).
cnf(c123,plain,
( ~ cC80(X1)
| ~ rR1(X0,X1)
| cC82(X0) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
fof(f55,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f55_nnf,plain,
rR1(iV8467,iV8471),
inference(nnf_transformation,[status(thm)],[f55]) ).
cnf(c151,plain,
rR1(iV8467,iV8471),
inference(cnf_transformation,[status(esa)],[f55_nnf]) ).
cnf(p2318,plain,
( ~ cC80(iV8471)
| cC82(iV8467) ),
inference(resolution,[status(thm)],[c123,c151]) ).
cnf(p3487,plain,
( cC78(iV8471)
| cC2(iV8471)
| cC82(iV8467) ),
inference(resolution,[status(thm)],[p2318,c120]) ).
fof(sdef7,definition,
( spl7
<=> ~ cC82(iV8467) ),
introduced(definition,[new_symbols(naming,[spl7])],[avatar_definition]) ).
cnf(p190,plain,
( ~ spl7
| ~ cC82(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef7]) ).
cnf(p12548,plain,
( ~ spl7
| cC78(iV8471)
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p3487,p190]) ).
cnf(p12551,plain,
( ~ spl7
| cC2(iV8471) ),
inference(resolution,[status(thm)],[p12548,c167]) ).
cnf(p12552,plain,
( ~ spl7
| $false ),
inference(resolution,[status(thm)],[p12551,c166]) ).
cnf(sct87,plain,
~ spl7,
inference(avatar_contradiction_clause,[status(thm)],[p12552]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f1_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p12553,plain,
( ~ spl2
| ~ xsd_integer(sk32) ),
inference(resolution,[status(thm)],[p185,c2]) ).
cnf(p12554,plain,
( ~ spl20
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p12553,p205]) ).
cnf(sct88,plain,
( ~ spl20
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p12554]) ).
cnf(c3,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p213,plain,
( ~ spl19
| xsd_string(sk32) ),
inference(resolution,[status(thm)],[p203,c3]) ).
cnf(p12557,plain,
( ~ spl19
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p213,p186]) ).
cnf(sct89,plain,
( ~ spl19
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p12557]) ).
fof(f86,conjecture,
( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f86_neg,negated_conjecture,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f86_nnf,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f86_neg]) ).
fof(f86_sk,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ( ~ xsd_integer(sk32)
& ~ xsd_string(sk32) )
| ( xsd_integer(sk32)
& xsd_string(sk32) )
| cowlNothing(sk31)
| ~ cowlThing(sk31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk31,sk32])],[f86_nnf]) ).
cnf(c182,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ xsd_string(sk32)
| xsd_string(sk32)
| cowlNothing(sk31)
| ~ cowlThing(sk31) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(ssp0,plain,
( spl18
| spl17
| spl16
| spl15
| spl14
| spl13
| spl12
| spl11
| spl10
| spl9
| spl8
| spl7
| spl6
| spl5
| spl4
| spl3
| spl2
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef0,sdef1,sdef2,sdef3,sdef4,sdef5,sdef6,sdef7,sdef8,sdef9,sdef10,sdef11,sdef12,sdef13,sdef14,sdef15,sdef16,sdef17,sdef18]) ).
cnf(c183,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ xsd_integer(sk32)
| xsd_string(sk32)
| cowlNothing(sk31)
| ~ cowlThing(sk31) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(ssp1,plain,
( spl19
| spl18
| spl17
| spl16
| spl15
| spl14
| spl13
| spl12
| spl11
| spl10
| spl9
| spl8
| spl7
| spl6
| spl5
| spl4
| spl2
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef0,sdef1,sdef2,sdef4,sdef5,sdef6,sdef7,sdef8,sdef9,sdef10,sdef11,sdef12,sdef13,sdef14,sdef15,sdef16,sdef17,sdef18,sdef19]) ).
cnf(c184,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ xsd_string(sk32)
| xsd_integer(sk32)
| cowlNothing(sk31)
| ~ cowlThing(sk31) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(ssp2,plain,
( spl20
| spl18
| spl17
| spl16
| spl15
| spl14
| spl13
| spl12
| spl11
| spl10
| spl9
| spl8
| spl7
| spl6
| spl5
| spl4
| spl3
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef0,sdef1,sdef3,sdef4,sdef5,sdef6,sdef7,sdef8,sdef9,sdef10,sdef11,sdef12,sdef13,sdef14,sdef15,sdef16,sdef17,sdef18,sdef20]) ).
cnf(c185,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ xsd_integer(sk32)
| xsd_integer(sk32)
| cowlNothing(sk31)
| ~ cowlThing(sk31) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(ssp3,plain,
( spl20
| spl19
| spl18
| spl17
| spl16
| spl15
| spl14
| spl13
| spl12
| spl11
| spl10
| spl9
| spl8
| spl7
| spl6
| spl5
| spl4
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef0,sdef1,sdef4,sdef5,sdef6,sdef7,sdef8,sdef9,sdef10,sdef11,sdef12,sdef13,sdef14,sdef15,sdef16,sdef17,sdef18,sdef19,sdef20]) ).
fof(f3,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( cC10(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC10(Y)
| ~ rR1(X,Y) )
| cC12(X) )
& ( ? [Y] :
( cC10(Y)
& rR1(X,Y) )
| ~ cC12(X) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ( ~ cC10(Y)
| ~ rR1(X,Y)
| cC12(X) )
& ( ( cC10(sk0(X))
& rR1(X,sk0(X)) )
| ~ cC12(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f3_nnf]) ).
cnf(c9,plain,
( ~ cC10(X1)
| ~ rR1(X0,X1)
| cC12(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p215,plain,
( ~ cC10(iV8471)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c151,c9]) ).
fof(sdef21,definition,
( spl21
<=> cC12(iV8467) ),
introduced(definition,[new_symbols(naming,[spl21])],[avatar_definition]) ).
cnf(ssp4,plain,
( spl22
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p215,sdef21,sdef22]) ).
fof(f56,axiom,
rR1(iV8467,iV8473),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f56_nnf,plain,
rR1(iV8467,iV8473),
inference(nnf_transformation,[status(thm)],[f56]) ).
cnf(c152,plain,
rR1(iV8467,iV8473),
inference(cnf_transformation,[status(esa)],[f56_nnf]) ).
cnf(p220,plain,
( ~ cC10(iV8473)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c152,c9]) ).
fof(sdef23,definition,
( spl23
<=> ~ cC10(iV8473) ),
introduced(definition,[new_symbols(naming,[spl23])],[avatar_definition]) ).
cnf(ssp5,plain,
( spl23
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p220,sdef21,sdef23]) ).
fof(f57,axiom,
rR1(iV8467,iV8468),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f57_nnf,plain,
rR1(iV8467,iV8468),
inference(nnf_transformation,[status(thm)],[f57]) ).
cnf(c153,plain,
rR1(iV8467,iV8468),
inference(cnf_transformation,[status(esa)],[f57_nnf]) ).
cnf(p222,plain,
( ~ cC10(iV8468)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c153,c9]) ).
fof(sdef24,definition,
( spl24
<=> ~ cC10(iV8468) ),
introduced(definition,[new_symbols(naming,[spl24])],[avatar_definition]) ).
cnf(ssp6,plain,
( spl24
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p222,sdef21,sdef24]) ).
cnf(c12,plain,
( ~ cTOP(X1)
| ~ rR1(X0,X1)
| cC14(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p224,plain,
( ~ cTOP(iV8471)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c12,c151]) ).
fof(sdef26,definition,
( spl26
<=> ~ cTOP(iV8471) ),
introduced(definition,[new_symbols(naming,[spl26])],[avatar_definition]) ).
cnf(ssp7,plain,
( spl26
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p224,sdef25,sdef26]) ).
cnf(p227,plain,
( ~ cTOP(iV8473)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c12,c152]) ).
fof(sdef27,definition,
( spl27
<=> ~ cTOP(iV8473) ),
introduced(definition,[new_symbols(naming,[spl27])],[avatar_definition]) ).
cnf(ssp8,plain,
( spl27
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p227,sdef25,sdef27]) ).
cnf(p229,plain,
( ~ cTOP(iV8468)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c12,c153]) ).
fof(sdef28,definition,
( spl28
<=> ~ cTOP(iV8468) ),
introduced(definition,[new_symbols(naming,[spl28])],[avatar_definition]) ).
cnf(ssp9,plain,
( spl28
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p229,sdef25,sdef28]) ).
cnf(p234,plain,
( ~ cC10(iV8469)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c154,c9]) ).
fof(sdef29,definition,
( spl29
<=> ~ cC10(iV8469) ),
introduced(definition,[new_symbols(naming,[spl29])],[avatar_definition]) ).
cnf(ssp10,plain,
( spl29
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p234,sdef21,sdef29]) ).
cnf(p236,plain,
( ~ cTOP(iV8469)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c154,c12]) ).
fof(sdef30,definition,
( spl30
<=> ~ cTOP(iV8469) ),
introduced(definition,[new_symbols(naming,[spl30])],[avatar_definition]) ).
cnf(ssp11,plain,
( spl30
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p236,sdef25,sdef30]) ).
fof(f59,axiom,
rR1(iV8467,iV8475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f59_nnf,plain,
rR1(iV8467,iV8475),
inference(nnf_transformation,[status(thm)],[f59]) ).
cnf(c155,plain,
rR1(iV8467,iV8475),
inference(cnf_transformation,[status(esa)],[f59_nnf]) ).
cnf(p238,plain,
( ~ cC10(iV8475)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c155,c9]) ).
fof(sdef31,definition,
( spl31
<=> ~ cC10(iV8475) ),
introduced(definition,[new_symbols(naming,[spl31])],[avatar_definition]) ).
cnf(ssp12,plain,
( spl31
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p238,sdef21,sdef31]) ).
cnf(p240,plain,
( ~ cTOP(iV8475)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c155,c12]) ).
fof(sdef32,definition,
( spl32
<=> ~ cTOP(iV8475) ),
introduced(definition,[new_symbols(naming,[spl32])],[avatar_definition]) ).
cnf(ssp13,plain,
( spl32
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p240,sdef25,sdef32]) ).
fof(f60,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f60_nnf,plain,
rR1(iV8467,iV8472),
inference(nnf_transformation,[status(thm)],[f60]) ).
cnf(c156,plain,
rR1(iV8467,iV8472),
inference(cnf_transformation,[status(esa)],[f60_nnf]) ).
cnf(p242,plain,
( ~ cC10(iV8472)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c156,c9]) ).
fof(sdef33,definition,
( spl33
<=> ~ cC10(iV8472) ),
introduced(definition,[new_symbols(naming,[spl33])],[avatar_definition]) ).
cnf(ssp14,plain,
( spl33
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p242,sdef21,sdef33]) ).
cnf(p244,plain,
( ~ cTOP(iV8472)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c156,c12]) ).
fof(sdef34,definition,
( spl34
<=> ~ cTOP(iV8472) ),
introduced(definition,[new_symbols(naming,[spl34])],[avatar_definition]) ).
cnf(ssp15,plain,
( spl34
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p244,sdef25,sdef34]) ).
fof(f5,axiom,
! [X] :
( cC16(X)
<=> ? [Y] :
( ~ cC14(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
! [X] :
( ( ! [Y] :
( cC14(Y)
| ~ rR1(X,Y) )
| cC16(X) )
& ( ? [Y] :
( ~ cC14(Y)
& rR1(X,Y) )
| ~ cC16(X) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( ( cC14(Y)
| ~ rR1(X,Y)
| cC16(X) )
& ( ( ~ cC14(sk2(X))
& rR1(X,sk2(X)) )
| ~ cC16(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f5_nnf]) ).
cnf(c15,plain,
( cC14(X1)
| ~ rR1(X0,X1)
| cC16(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p246,plain,
( cC14(iV8471)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c15,c151]) ).
fof(sdef36,definition,
( spl36
<=> cC14(iV8471) ),
introduced(definition,[new_symbols(naming,[spl36])],[avatar_definition]) ).
cnf(ssp16,plain,
( spl36
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p246,sdef35,sdef36]) ).
cnf(p249,plain,
( cC14(iV8473)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c15,c152]) ).
fof(sdef37,definition,
( spl37
<=> cC14(iV8473) ),
introduced(definition,[new_symbols(naming,[spl37])],[avatar_definition]) ).
cnf(ssp17,plain,
( spl37
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p249,sdef35,sdef37]) ).
cnf(p251,plain,
( cC14(iV8468)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c15,c153]) ).
fof(sdef38,definition,
( spl38
<=> cC14(iV8468) ),
introduced(definition,[new_symbols(naming,[spl38])],[avatar_definition]) ).
cnf(ssp18,plain,
( spl38
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p251,sdef35,sdef38]) ).
cnf(p253,plain,
( cC14(iV8469)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c15,c154]) ).
cnf(ssp19,plain,
( spl39
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p253,sdef35,sdef39]) ).
cnf(p255,plain,
( cC14(iV8475)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c15,c155]) ).
fof(sdef40,definition,
( spl40
<=> cC14(iV8475) ),
introduced(definition,[new_symbols(naming,[spl40])],[avatar_definition]) ).
cnf(ssp20,plain,
( spl40
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p255,sdef35,sdef40]) ).
cnf(p257,plain,
( cC14(iV8472)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c15,c156]) ).
fof(sdef41,definition,
( spl41
<=> cC14(iV8472) ),
introduced(definition,[new_symbols(naming,[spl41])],[avatar_definition]) ).
cnf(ssp21,plain,
( spl41
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p257,sdef35,sdef41]) ).
fof(f61,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f61_nnf,plain,
rR1(iV8467,iV8474),
inference(nnf_transformation,[status(thm)],[f61]) ).
cnf(c157,plain,
rR1(iV8467,iV8474),
inference(cnf_transformation,[status(esa)],[f61_nnf]) ).
cnf(p273,plain,
( ~ cC10(iV8474)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c157,c9]) ).
fof(sdef42,definition,
( spl42
<=> ~ cC10(iV8474) ),
introduced(definition,[new_symbols(naming,[spl42])],[avatar_definition]) ).
cnf(ssp22,plain,
( spl42
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p273,sdef21,sdef42]) ).
cnf(p275,plain,
( ~ cTOP(iV8474)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c157,c12]) ).
fof(sdef43,definition,
( spl43
<=> ~ cTOP(iV8474) ),
introduced(definition,[new_symbols(naming,[spl43])],[avatar_definition]) ).
cnf(ssp23,plain,
( spl43
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p275,sdef25,sdef43]) ).
cnf(p277,plain,
( cC14(iV8474)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c157,c15]) ).
cnf(ssp24,plain,
( spl44
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p277,sdef35,sdef44]) ).
cnf(c18,plain,
( ~ cC12(X0)
| cC16(X0)
| cC18(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p216,plain,
( ~ spl21
| cC12(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef21]) ).
cnf(p279,plain,
( ~ spl21
| cC16(iV8467)
| cC18(iV8467) ),
inference(resolution,[status(thm)],[c18,p216]) ).
cnf(ssp25,plain,
( spl45
| spl35
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p279,sdef35,sdef45]) ).
fof(f62,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f62_nnf,plain,
rR1(iV8467,iV8470),
inference(nnf_transformation,[status(thm)],[f62]) ).
cnf(c158,plain,
rR1(iV8467,iV8470),
inference(cnf_transformation,[status(esa)],[f62_nnf]) ).
cnf(p286,plain,
( ~ cC10(iV8470)
| cC12(iV8467) ),
inference(resolution,[status(thm)],[c158,c9]) ).
fof(sdef46,definition,
( spl46
<=> ~ cC10(iV8470) ),
introduced(definition,[new_symbols(naming,[spl46])],[avatar_definition]) ).
cnf(ssp26,plain,
( spl46
| spl21 ),
inference(avatar_split_clause,[status(thm)],[p286,sdef21,sdef46]) ).
cnf(p288,plain,
( ~ cTOP(iV8470)
| cC14(iV8467) ),
inference(resolution,[status(thm)],[c158,c12]) ).
cnf(ssp27,plain,
( spl47
| spl25 ),
inference(avatar_split_clause,[status(thm)],[p288,sdef25,sdef47]) ).
cnf(p290,plain,
( cC14(iV8470)
| cC16(iV8467) ),
inference(resolution,[status(thm)],[c158,c15]) ).
fof(sdef48,definition,
( spl48
<=> cC14(iV8470) ),
introduced(definition,[new_symbols(naming,[spl48])],[avatar_definition]) ).
cnf(ssp28,plain,
( spl48
| spl35 ),
inference(avatar_split_clause,[status(thm)],[p290,sdef35,sdef48]) ).
fof(f76,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(f76_nnf,plain,
rR1(iV8472,iV8476),
inference(nnf_transformation,[status(thm)],[f76]) ).
cnf(c172,plain,
rR1(iV8472,iV8476),
inference(cnf_transformation,[status(esa)],[f76_nnf]) ).
cnf(p295,plain,
( ~ cC10(iV8476)
| cC12(iV8472) ),
inference(resolution,[status(thm)],[c172,c9]) ).
fof(sdef49,definition,
( spl49
<=> cC12(iV8472) ),
introduced(definition,[new_symbols(naming,[spl49])],[avatar_definition]) ).
fof(sdef50,definition,
( spl50
<=> ~ cC10(iV8476) ),
introduced(definition,[new_symbols(naming,[spl50])],[avatar_definition]) ).
cnf(ssp29,plain,
( spl50
| spl49 ),
inference(avatar_split_clause,[status(thm)],[p295,sdef49,sdef50]) ).
cnf(p298,plain,
( ~ cTOP(iV8476)
| cC14(iV8472) ),
inference(resolution,[status(thm)],[c172,c12]) ).
fof(sdef51,definition,
( spl51
<=> ~ cTOP(iV8476) ),
introduced(definition,[new_symbols(naming,[spl51])],[avatar_definition]) ).
cnf(ssp30,plain,
( spl51
| spl41 ),
inference(avatar_split_clause,[status(thm)],[p298,sdef41,sdef51]) ).
cnf(p300,plain,
( cC14(iV8476)
| cC16(iV8472) ),
inference(resolution,[status(thm)],[c172,c15]) ).
fof(sdef53,definition,
( spl53
<=> cC14(iV8476) ),
introduced(definition,[new_symbols(naming,[spl53])],[avatar_definition]) ).
cnf(ssp31,plain,
( spl53
| spl52 ),
inference(avatar_split_clause,[status(thm)],[p300,sdef52,sdef53]) ).
cnf(p296,plain,
( ~ spl49
| cC12(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef49]) ).
cnf(p305,plain,
( ~ spl49
| cC16(iV8472)
| cC18(iV8472) ),
inference(resolution,[status(thm)],[p296,c18]) ).
cnf(ssp32,plain,
( spl54
| spl52
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p305,sdef52,sdef54]) ).
cnf(p309,plain,
( cC2(iV8471)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c151]) ).
cnf(ssp33,plain,
( spl56
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p309,sdef55,sdef56]) ).
cnf(p312,plain,
( cC2(iV8473)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c152]) ).
cnf(ssp34,plain,
( spl57
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p312,sdef55,sdef57]) ).
cnf(p314,plain,
( cC2(iV8468)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c153]) ).
cnf(ssp35,plain,
( spl58
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p314,sdef55,sdef58]) ).
cnf(p316,plain,
( cC2(iV8469)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c154]) ).
cnf(ssp36,plain,
( spl59
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p316,sdef55,sdef59]) ).
cnf(p318,plain,
( cC2(iV8475)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c155]) ).
cnf(ssp37,plain,
( spl60
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p318,sdef55,sdef60]) ).
cnf(p320,plain,
( cC2(iV8472)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c156]) ).
cnf(ssp38,plain,
( spl61
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p320,sdef55,sdef61]) ).
cnf(p322,plain,
( cC2(iV8474)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c157]) ).
cnf(ssp39,plain,
( spl62
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p322,sdef55,sdef62]) ).
cnf(p324,plain,
( cC2(iV8470)
| cC20(iV8467) ),
inference(resolution,[status(thm)],[c21,c158]) ).
cnf(ssp40,plain,
( spl63
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p324,sdef55,sdef63]) ).
cnf(p339,plain,
( cC2(iV8471)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c151]) ).
fof(sdef64,definition,
( spl64
<=> cC22(iV8467) ),
introduced(definition,[new_symbols(naming,[spl64])],[avatar_definition]) ).
cnf(ssp41,plain,
( spl64
| spl56 ),
inference(avatar_split_clause,[status(thm)],[p339,sdef56,sdef64]) ).
cnf(p341,plain,
( cC2(iV8473)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c152]) ).
cnf(ssp42,plain,
( spl64
| spl57 ),
inference(avatar_split_clause,[status(thm)],[p341,sdef57,sdef64]) ).
cnf(p342,plain,
( cC2(iV8468)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c153]) ).
cnf(ssp43,plain,
( spl64
| spl58 ),
inference(avatar_split_clause,[status(thm)],[p342,sdef58,sdef64]) ).
cnf(p343,plain,
( cC2(iV8469)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c154]) ).
cnf(ssp44,plain,
( spl64
| spl59 ),
inference(avatar_split_clause,[status(thm)],[p343,sdef59,sdef64]) ).
cnf(p344,plain,
( cC2(iV8475)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c155]) ).
cnf(ssp45,plain,
( spl64
| spl60 ),
inference(avatar_split_clause,[status(thm)],[p344,sdef60,sdef64]) ).
cnf(p345,plain,
( cC2(iV8472)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c156]) ).
cnf(ssp46,plain,
( spl64
| spl61 ),
inference(avatar_split_clause,[status(thm)],[p345,sdef61,sdef64]) ).
cnf(p346,plain,
( cC2(iV8474)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c157]) ).
cnf(ssp47,plain,
( spl64
| spl62 ),
inference(avatar_split_clause,[status(thm)],[p346,sdef62,sdef64]) ).
cnf(p347,plain,
( cC2(iV8470)
| cC22(iV8467) ),
inference(resolution,[status(thm)],[c24,c158]) ).
cnf(ssp48,plain,
( spl64
| spl63 ),
inference(avatar_split_clause,[status(thm)],[p347,sdef63,sdef64]) ).
fof(f9,axiom,
! [X] :
( cC24(X)
<=> ? [Y] :
( cC22(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f9_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC22(Y)
| ~ rR1(X,Y) )
| cC24(X) )
& ( ? [Y] :
( cC22(Y)
& rR1(X,Y) )
| ~ cC24(X) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ( ~ cC22(Y)
| ~ rR1(X,Y)
| cC24(X) )
& ( ( cC22(sk5(X))
& rR1(X,sk5(X)) )
| ~ cC24(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f9_nnf]) ).
cnf(c27,plain,
( ~ cC22(X1)
| ~ rR1(X0,X1)
| cC24(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p352,plain,
( ~ cC22(iV8471)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c151]) ).
fof(sdef65,definition,
( spl65
<=> cC24(iV8467) ),
introduced(definition,[new_symbols(naming,[spl65])],[avatar_definition]) ).
fof(sdef66,definition,
( spl66
<=> ~ cC22(iV8471) ),
introduced(definition,[new_symbols(naming,[spl66])],[avatar_definition]) ).
cnf(ssp49,plain,
( spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p352,sdef65,sdef66]) ).
cnf(p355,plain,
( ~ cC22(iV8473)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c152]) ).
cnf(ssp50,plain,
( spl67
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p355,sdef65,sdef67]) ).
cnf(p357,plain,
( ~ cC22(iV8468)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c153]) ).
cnf(ssp51,plain,
( spl68
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p357,sdef65,sdef68]) ).
cnf(p359,plain,
( ~ cC22(iV8469)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c154]) ).
fof(sdef69,definition,
( spl69
<=> ~ cC22(iV8469) ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(ssp52,plain,
( spl69
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p359,sdef65,sdef69]) ).
cnf(p361,plain,
( ~ cC22(iV8475)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c155]) ).
cnf(ssp53,plain,
( spl70
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p361,sdef65,sdef70]) ).
cnf(p363,plain,
( ~ cC22(iV8472)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c156]) ).
fof(sdef71,definition,
( spl71
<=> ~ cC22(iV8472) ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(ssp54,plain,
( spl71
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p363,sdef65,sdef71]) ).
cnf(p365,plain,
( ~ cC22(iV8474)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c157]) ).
cnf(ssp55,plain,
( spl72
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p365,sdef65,sdef72]) ).
cnf(p367,plain,
( ~ cC22(iV8470)
| cC24(iV8467) ),
inference(resolution,[status(thm)],[c27,c158]) ).
cnf(ssp56,plain,
( spl73
| spl65 ),
inference(avatar_split_clause,[status(thm)],[p367,sdef65,sdef73]) ).
cnf(p369,plain,
( ~ cC22(iV8476)
| cC24(iV8472) ),
inference(resolution,[status(thm)],[c27,c172]) ).
fof(sdef74,definition,
( spl74
<=> cC24(iV8472) ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(ssp57,plain,
( spl75
| spl74 ),
inference(avatar_split_clause,[status(thm)],[p369,sdef74,sdef75]) ).
cnf(c30,plain,
( ~ cC24(X0)
| cC20(X0)
| cC26(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p353,plain,
( ~ spl65
| cC24(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef65]) ).
cnf(p378,plain,
( ~ spl65
| cC20(iV8467)
| cC26(iV8467) ),
inference(resolution,[status(thm)],[c30,p353]) ).
cnf(ssp58,plain,
( spl76
| spl55
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p378,sdef55,sdef76]) ).
cnf(p370,plain,
( ~ spl74
| cC24(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p380,plain,
( ~ spl74
| cC20(iV8472)
| cC26(iV8472) ),
inference(resolution,[status(thm)],[c30,p370]) ).
cnf(ssp59,plain,
( spl78
| spl77
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p380,sdef77,sdef78]) ).
fof(f11,axiom,
! [X] :
( cC28(X)
<=> ? [Y] :
( cC26(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f11_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC26(Y)
| ~ rR1(X,Y) )
| cC28(X) )
& ( ? [Y] :
( cC26(Y)
& rR1(X,Y) )
| ~ cC28(X) ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X,Y] :
( ( ~ cC26(Y)
| ~ rR1(X,Y)
| cC28(X) )
& ( ( cC26(sk6(X))
& rR1(X,sk6(X)) )
| ~ cC28(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6])],[f11_nnf]) ).
cnf(c33,plain,
( ~ cC26(X1)
| ~ rR1(X0,X1)
| cC28(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p393,plain,
( ~ cC26(iV8471)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c151]) ).
fof(sdef79,definition,
( spl79
<=> cC28(iV8467) ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(ssp60,plain,
( spl80
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p393,sdef79,sdef80]) ).
cnf(p396,plain,
( ~ cC26(iV8473)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c152]) ).
fof(sdef81,definition,
( spl81
<=> ~ cC26(iV8473) ),
introduced(definition,[new_symbols(naming,[spl81])],[avatar_definition]) ).
cnf(ssp61,plain,
( spl81
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p396,sdef79,sdef81]) ).
cnf(p398,plain,
( ~ cC26(iV8468)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c153]) ).
fof(sdef82,definition,
( spl82
<=> ~ cC26(iV8468) ),
introduced(definition,[new_symbols(naming,[spl82])],[avatar_definition]) ).
cnf(ssp62,plain,
( spl82
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p398,sdef79,sdef82]) ).
cnf(p400,plain,
( ~ cC26(iV8469)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c154]) ).
fof(sdef83,definition,
( spl83
<=> ~ cC26(iV8469) ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(ssp63,plain,
( spl83
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p400,sdef79,sdef83]) ).
cnf(p402,plain,
( ~ cC26(iV8475)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c155]) ).
fof(sdef84,definition,
( spl84
<=> ~ cC26(iV8475) ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(ssp64,plain,
( spl84
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p402,sdef79,sdef84]) ).
cnf(p404,plain,
( ~ cC26(iV8472)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c156]) ).
cnf(ssp65,plain,
( spl85
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p404,sdef79,sdef85]) ).
cnf(p406,plain,
( ~ cC26(iV8474)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c157]) ).
fof(sdef86,definition,
( spl86
<=> ~ cC26(iV8474) ),
introduced(definition,[new_symbols(naming,[spl86])],[avatar_definition]) ).
cnf(ssp66,plain,
( spl86
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p406,sdef79,sdef86]) ).
cnf(p408,plain,
( ~ cC26(iV8470)
| cC28(iV8467) ),
inference(resolution,[status(thm)],[c33,c158]) ).
fof(sdef87,definition,
( spl87
<=> ~ cC26(iV8470) ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(ssp67,plain,
( spl87
| spl79 ),
inference(avatar_split_clause,[status(thm)],[p408,sdef79,sdef87]) ).
cnf(p410,plain,
( ~ cC26(iV8476)
| cC28(iV8472) ),
inference(resolution,[status(thm)],[c33,c172]) ).
fof(sdef88,definition,
( spl88
<=> cC28(iV8472) ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
fof(sdef89,definition,
( spl89
<=> ~ cC26(iV8476) ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(ssp68,plain,
( spl89
| spl88 ),
inference(avatar_split_clause,[status(thm)],[p410,sdef88,sdef89]) ).
cnf(c7,plain,
( rR1(X0,sk0(X0))
| ~ cC12(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p218,plain,
( ~ spl21
| rR1(iV8467,sk0(iV8467)) ),
inference(resolution,[status(thm)],[p216,c7]) ).
cnf(p430,plain,
( ~ spl21
| ~ cTOP(sk0(iV8467))
| cC14(iV8467) ),
inference(resolution,[status(thm)],[p218,c12]) ).
fof(sdef90,definition,
( spl90
<=> ~ cTOP(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(ssp69,plain,
( spl90
| spl25
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p430,sdef25,sdef90]) ).
cnf(p432,plain,
( ~ spl21
| cC14(sk0(iV8467))
| cC16(iV8467) ),
inference(resolution,[status(thm)],[p218,c15]) ).
fof(sdef91,definition,
( spl91
<=> cC14(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(ssp70,plain,
( spl91
| spl35
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p432,sdef35,sdef91]) ).
cnf(p434,plain,
( ~ spl21
| cC2(sk0(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p218,c21]) ).
cnf(ssp71,plain,
( spl92
| spl55
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p434,sdef55,sdef92]) ).
cnf(p436,plain,
( ~ spl21
| cC2(sk0(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p218,c24]) ).
cnf(ssp72,plain,
( spl92
| spl64
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p436,sdef64,sdef92]) ).
cnf(p437,plain,
( ~ spl21
| ~ cC22(sk0(iV8467))
| cC24(iV8467) ),
inference(resolution,[status(thm)],[p218,c27]) ).
fof(sdef93,definition,
( spl93
<=> ~ cC22(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl93])],[avatar_definition]) ).
cnf(ssp73,plain,
( spl93
| spl65
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p437,sdef65,sdef93]) ).
cnf(p439,plain,
( ~ spl21
| ~ cC26(sk0(iV8467))
| cC28(iV8467) ),
inference(resolution,[status(thm)],[p218,c33]) ).
fof(sdef94,definition,
( spl94
<=> ~ cC26(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl94])],[avatar_definition]) ).
cnf(ssp74,plain,
( spl94
| spl79
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p439,sdef79,sdef94]) ).
cnf(c39,plain,
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC32(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p443,plain,
( ~ cC2(iV8469)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[c39,c154]) ).
fof(sdef95,definition,
( spl95
<=> cC32(iV8467) ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(ssp75,plain,
( spl96
| spl95 ),
inference(avatar_split_clause,[status(thm)],[p443,sdef95,sdef96]) ).
cnf(p446,plain,
( ~ cC2(iV8474)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[c39,c157]) ).
cnf(ssp76,plain,
( spl97
| spl95 ),
inference(avatar_split_clause,[status(thm)],[p446,sdef95,sdef97]) ).
cnf(p448,plain,
( ~ cC2(iV8470)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[c39,c158]) ).
cnf(ssp77,plain,
( spl98
| spl95 ),
inference(avatar_split_clause,[status(thm)],[p448,sdef95,sdef98]) ).
cnf(p450,plain,
( ~ cC2(iV8476)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[c39,c172]) ).
fof(sdef99,definition,
( spl99
<=> cC32(iV8472) ),
introduced(definition,[new_symbols(naming,[spl99])],[avatar_definition]) ).
cnf(ssp78,plain,
( spl100
| spl99 ),
inference(avatar_split_clause,[status(thm)],[p450,sdef99,sdef100]) ).
cnf(p453,plain,
( ~ spl21
| ~ cC2(sk0(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[c39,p218]) ).
cnf(ssp79,plain,
( spl101
| spl95
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p453,sdef95,sdef101]) ).
fof(f14,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f14_nnf,plain,
! [X] :
( ( ! [Y] :
( cC32(Y)
| ~ rR1(X,Y) )
| cC34(X) )
& ( ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) )
| ~ cC34(X) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X,Y] :
( ( cC32(Y)
| ~ rR1(X,Y)
| cC34(X) )
& ( ( ~ cC32(sk8(X))
& rR1(X,sk8(X)) )
| ~ cC34(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8])],[f14_nnf]) ).
cnf(c42,plain,
( cC32(X1)
| ~ rR1(X0,X1)
| cC34(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p464,plain,
( cC32(iV8471)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c151]) ).
cnf(ssp80,plain,
( spl103
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p464,sdef102,sdef103]) ).
cnf(p467,plain,
( cC32(iV8473)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c152]) ).
cnf(ssp81,plain,
( spl104
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p467,sdef102,sdef104]) ).
cnf(p469,plain,
( cC32(iV8468)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c153]) ).
cnf(ssp82,plain,
( spl105
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p469,sdef102,sdef105]) ).
cnf(p471,plain,
( cC32(iV8469)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c154]) ).
cnf(ssp83,plain,
( spl106
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p471,sdef102,sdef106]) ).
cnf(p473,plain,
( cC32(iV8475)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c155]) ).
cnf(ssp84,plain,
( spl107
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p473,sdef102,sdef107]) ).
cnf(p475,plain,
( cC32(iV8472)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c156]) ).
cnf(ssp85,plain,
( spl102
| spl99 ),
inference(avatar_split_clause,[status(thm)],[p475,sdef99,sdef102]) ).
cnf(p476,plain,
( cC32(iV8474)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c157]) ).
cnf(ssp86,plain,
( spl108
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p476,sdef102,sdef108]) ).
cnf(p478,plain,
( cC32(iV8470)
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,c158]) ).
cnf(ssp87,plain,
( spl109
| spl102 ),
inference(avatar_split_clause,[status(thm)],[p478,sdef102,sdef109]) ).
cnf(p480,plain,
( cC32(iV8476)
| cC34(iV8472) ),
inference(resolution,[status(thm)],[c42,c172]) ).
fof(sdef111,definition,
( spl111
<=> cC32(iV8476) ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(ssp88,plain,
( spl111
| spl110 ),
inference(avatar_split_clause,[status(thm)],[p480,sdef110,sdef111]) ).
cnf(p483,plain,
( ~ spl21
| cC32(sk0(iV8467))
| cC34(iV8467) ),
inference(resolution,[status(thm)],[c42,p218]) ).
fof(sdef112,definition,
( spl112
<=> cC32(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(ssp89,plain,
( spl112
| spl102
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p483,sdef102,sdef112]) ).
cnf(c45,plain,
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC36(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p507,plain,
( ~ cC2(iV8469)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[c45,c154]) ).
fof(sdef113,definition,
( spl113
<=> cC36(iV8467) ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(ssp90,plain,
( spl113
| spl96 ),
inference(avatar_split_clause,[status(thm)],[p507,sdef96,sdef113]) ).
cnf(p509,plain,
( ~ cC2(iV8474)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[c45,c157]) ).
cnf(ssp91,plain,
( spl113
| spl97 ),
inference(avatar_split_clause,[status(thm)],[p509,sdef97,sdef113]) ).
cnf(p510,plain,
( ~ cC2(iV8470)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[c45,c158]) ).
cnf(ssp92,plain,
( spl113
| spl98 ),
inference(avatar_split_clause,[status(thm)],[p510,sdef98,sdef113]) ).
cnf(p511,plain,
( ~ cC2(iV8476)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[c45,c172]) ).
fof(sdef114,definition,
( spl114
<=> cC36(iV8472) ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(ssp93,plain,
( spl114
| spl100 ),
inference(avatar_split_clause,[status(thm)],[p511,sdef100,sdef114]) ).
cnf(p513,plain,
( ~ spl21
| ~ cC2(sk0(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[c45,p218]) ).
cnf(ssp94,plain,
( spl113
| spl101
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p513,sdef101,sdef113]) ).
cnf(c48,plain,
( cC36(X1)
| ~ rR1(X0,X1)
| cC38(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p518,plain,
( cC36(iV8471)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c151]) ).
fof(sdef115,definition,
( spl115
<=> cC38(iV8467) ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(ssp95,plain,
( spl116
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p518,sdef115,sdef116]) ).
cnf(p521,plain,
( cC36(iV8473)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c152]) ).
cnf(ssp96,plain,
( spl117
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p521,sdef115,sdef117]) ).
cnf(p523,plain,
( cC36(iV8468)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c153]) ).
cnf(ssp97,plain,
( spl118
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p523,sdef115,sdef118]) ).
cnf(p525,plain,
( cC36(iV8469)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c154]) ).
cnf(ssp98,plain,
( spl119
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p525,sdef115,sdef119]) ).
cnf(p527,plain,
( cC36(iV8475)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c155]) ).
cnf(ssp99,plain,
( spl120
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p527,sdef115,sdef120]) ).
cnf(p529,plain,
( cC36(iV8472)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c156]) ).
cnf(ssp100,plain,
( spl115
| spl114 ),
inference(avatar_split_clause,[status(thm)],[p529,sdef114,sdef115]) ).
cnf(p530,plain,
( cC36(iV8474)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c157]) ).
cnf(ssp101,plain,
( spl121
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p530,sdef115,sdef121]) ).
cnf(p532,plain,
( cC36(iV8470)
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,c158]) ).
cnf(ssp102,plain,
( spl122
| spl115 ),
inference(avatar_split_clause,[status(thm)],[p532,sdef115,sdef122]) ).
cnf(p534,plain,
( cC36(iV8476)
| cC38(iV8472) ),
inference(resolution,[status(thm)],[c48,c172]) ).
fof(sdef124,definition,
( spl124
<=> cC36(iV8476) ),
introduced(definition,[new_symbols(naming,[spl124])],[avatar_definition]) ).
cnf(ssp103,plain,
( spl124
| spl123 ),
inference(avatar_split_clause,[status(thm)],[p534,sdef123,sdef124]) ).
cnf(p537,plain,
( ~ spl21
| cC36(sk0(iV8467))
| cC38(iV8467) ),
inference(resolution,[status(thm)],[c48,p218]) ).
fof(sdef125,definition,
( spl125
<=> cC36(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl125])],[avatar_definition]) ).
cnf(ssp104,plain,
( spl125
| spl115
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p537,sdef115,sdef125]) ).
fof(f17,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f17_nnf,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y] :
( ( cC2(Y)
| ~ rR1(X,Y)
| cC4(X) )
& ( ( ~ cC2(sk11(X))
& rR1(X,sk11(X)) )
| ~ cC4(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11])],[f17_nnf]) ).
cnf(c51,plain,
( cC2(X1)
| ~ rR1(X0,X1)
| cC4(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p565,plain,
( cC2(iV8471)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c151]) ).
cnf(ssp105,plain,
( spl126
| spl56 ),
inference(avatar_split_clause,[status(thm)],[p565,sdef56,sdef126]) ).
cnf(p567,plain,
( cC2(iV8473)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c152]) ).
cnf(ssp106,plain,
( spl126
| spl57 ),
inference(avatar_split_clause,[status(thm)],[p567,sdef57,sdef126]) ).
cnf(p568,plain,
( cC2(iV8468)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c153]) ).
cnf(ssp107,plain,
( spl126
| spl58 ),
inference(avatar_split_clause,[status(thm)],[p568,sdef58,sdef126]) ).
cnf(p569,plain,
( cC2(iV8469)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c154]) ).
cnf(ssp108,plain,
( spl126
| spl59 ),
inference(avatar_split_clause,[status(thm)],[p569,sdef59,sdef126]) ).
cnf(p570,plain,
( cC2(iV8475)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c155]) ).
cnf(ssp109,plain,
( spl126
| spl60 ),
inference(avatar_split_clause,[status(thm)],[p570,sdef60,sdef126]) ).
cnf(p571,plain,
( cC2(iV8472)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c156]) ).
cnf(ssp110,plain,
( spl126
| spl61 ),
inference(avatar_split_clause,[status(thm)],[p571,sdef61,sdef126]) ).
cnf(p572,plain,
( cC2(iV8474)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c157]) ).
cnf(ssp111,plain,
( spl126
| spl62 ),
inference(avatar_split_clause,[status(thm)],[p572,sdef62,sdef126]) ).
cnf(p573,plain,
( cC2(iV8470)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,c158]) ).
cnf(ssp112,plain,
( spl126
| spl63 ),
inference(avatar_split_clause,[status(thm)],[p573,sdef63,sdef126]) ).
cnf(p574,plain,
( ~ spl21
| cC2(sk0(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[c51,p218]) ).
cnf(ssp113,plain,
( spl126
| spl92
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p574,sdef92,sdef126]) ).
cnf(c6,plain,
( ~ cC8(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p576,plain,
( ~ spl126
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(resolution,[status(thm)],[p566,c6]) ).
cnf(ssp114,plain,
( spl127
| spl9
| ~ spl126 ),
inference(avatar_split_clause,[status(thm)],[p576,sdef9,sdef127]) ).
fof(f18,axiom,
! [X] :
( cC40(X)
<=> ? [Y] :
( cC38(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f18_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC38(Y)
| ~ rR1(X,Y) )
| cC40(X) )
& ( ? [Y] :
( cC38(Y)
& rR1(X,Y) )
| ~ cC40(X) ) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] :
( ( ~ cC38(Y)
| ~ rR1(X,Y)
| cC40(X) )
& ( ( cC38(sk12(X))
& rR1(X,sk12(X)) )
| ~ cC40(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk12])],[f18_nnf]) ).
cnf(c54,plain,
( ~ cC38(X1)
| ~ rR1(X0,X1)
| cC40(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p586,plain,
( ~ cC38(iV8471)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c151]) ).
fof(sdef128,definition,
( spl128
<=> cC40(iV8467) ),
introduced(definition,[new_symbols(naming,[spl128])],[avatar_definition]) ).
cnf(ssp115,plain,
( spl129
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p586,sdef128,sdef129]) ).
cnf(p589,plain,
( ~ cC38(iV8473)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c152]) ).
fof(sdef130,definition,
( spl130
<=> ~ cC38(iV8473) ),
introduced(definition,[new_symbols(naming,[spl130])],[avatar_definition]) ).
cnf(ssp116,plain,
( spl130
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p589,sdef128,sdef130]) ).
cnf(p591,plain,
( ~ cC38(iV8468)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c153]) ).
fof(sdef131,definition,
( spl131
<=> ~ cC38(iV8468) ),
introduced(definition,[new_symbols(naming,[spl131])],[avatar_definition]) ).
cnf(ssp117,plain,
( spl131
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p591,sdef128,sdef131]) ).
cnf(p593,plain,
( ~ cC38(iV8469)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c154]) ).
fof(sdef132,definition,
( spl132
<=> ~ cC38(iV8469) ),
introduced(definition,[new_symbols(naming,[spl132])],[avatar_definition]) ).
cnf(ssp118,plain,
( spl132
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p593,sdef128,sdef132]) ).
cnf(p595,plain,
( ~ cC38(iV8475)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c155]) ).
fof(sdef133,definition,
( spl133
<=> ~ cC38(iV8475) ),
introduced(definition,[new_symbols(naming,[spl133])],[avatar_definition]) ).
cnf(ssp119,plain,
( spl133
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p595,sdef128,sdef133]) ).
cnf(p597,plain,
( ~ cC38(iV8472)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c156]) ).
cnf(ssp120,plain,
( spl134
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p597,sdef128,sdef134]) ).
cnf(p599,plain,
( ~ cC38(iV8474)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c157]) ).
fof(sdef135,definition,
( spl135
<=> ~ cC38(iV8474) ),
introduced(definition,[new_symbols(naming,[spl135])],[avatar_definition]) ).
cnf(ssp121,plain,
( spl135
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p599,sdef128,sdef135]) ).
cnf(p601,plain,
( ~ cC38(iV8470)
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,c158]) ).
fof(sdef136,definition,
( spl136
<=> ~ cC38(iV8470) ),
introduced(definition,[new_symbols(naming,[spl136])],[avatar_definition]) ).
cnf(ssp122,plain,
( spl136
| spl128 ),
inference(avatar_split_clause,[status(thm)],[p601,sdef128,sdef136]) ).
cnf(p603,plain,
( ~ cC38(iV8476)
| cC40(iV8472) ),
inference(resolution,[status(thm)],[c54,c172]) ).
fof(sdef137,definition,
( spl137
<=> cC40(iV8472) ),
introduced(definition,[new_symbols(naming,[spl137])],[avatar_definition]) ).
fof(sdef138,definition,
( spl138
<=> ~ cC38(iV8476) ),
introduced(definition,[new_symbols(naming,[spl138])],[avatar_definition]) ).
cnf(ssp123,plain,
( spl138
| spl137 ),
inference(avatar_split_clause,[status(thm)],[p603,sdef137,sdef138]) ).
cnf(p606,plain,
( ~ spl21
| ~ cC38(sk0(iV8467))
| cC40(iV8467) ),
inference(resolution,[status(thm)],[c54,p218]) ).
fof(sdef139,definition,
( spl139
<=> ~ cC38(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl139])],[avatar_definition]) ).
cnf(ssp124,plain,
( spl139
| spl128
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p606,sdef128,sdef139]) ).
cnf(c57,plain,
( ~ cC40(X0)
| cC34(X0)
| cC42(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p587,plain,
( ~ spl128
| cC40(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef128]) ).
cnf(p613,plain,
( ~ spl128
| cC34(iV8467)
| cC42(iV8467) ),
inference(resolution,[status(thm)],[c57,p587]) ).
cnf(ssp125,plain,
( spl140
| spl102
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p613,sdef102,sdef140]) ).
cnf(p604,plain,
( ~ spl137
| cC40(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef137]) ).
cnf(p615,plain,
( ~ spl137
| cC34(iV8472)
| cC42(iV8472) ),
inference(resolution,[status(thm)],[c57,p604]) ).
cnf(ssp126,plain,
( spl141
| spl110
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p615,sdef110,sdef141]) ).
cnf(p232,plain,
( ~ spl25
| rR1(iV8467,sk1(iV8467)) ),
inference(resolution,[status(thm)],[p225,c10]) ).
cnf(p625,plain,
( ~ spl25
| ~ cC10(sk1(iV8467))
| cC12(iV8467) ),
inference(resolution,[status(thm)],[p232,c9]) ).
fof(sdef142,definition,
( spl142
<=> ~ cC10(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl142])],[avatar_definition]) ).
cnf(ssp127,plain,
( spl142
| spl21
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p625,sdef21,sdef142]) ).
cnf(p627,plain,
( ~ spl25
| cC14(sk1(iV8467))
| cC16(iV8467) ),
inference(resolution,[status(thm)],[p232,c15]) ).
fof(sdef143,definition,
( spl143
<=> cC14(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl143])],[avatar_definition]) ).
cnf(ssp128,plain,
( spl143
| spl35
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p627,sdef35,sdef143]) ).
cnf(p629,plain,
( ~ spl25
| cC2(sk1(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p232,c21]) ).
cnf(ssp129,plain,
( spl144
| spl55
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p629,sdef55,sdef144]) ).
cnf(p631,plain,
( ~ spl25
| cC2(sk1(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p232,c24]) ).
cnf(ssp130,plain,
( spl144
| spl64
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p631,sdef64,sdef144]) ).
cnf(p632,plain,
( ~ spl25
| ~ cC22(sk1(iV8467))
| cC24(iV8467) ),
inference(resolution,[status(thm)],[p232,c27]) ).
fof(sdef145,definition,
( spl145
<=> ~ cC22(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl145])],[avatar_definition]) ).
cnf(ssp131,plain,
( spl145
| spl65
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p632,sdef65,sdef145]) ).
cnf(p634,plain,
( ~ spl25
| ~ cC26(sk1(iV8467))
| cC28(iV8467) ),
inference(resolution,[status(thm)],[p232,c33]) ).
fof(sdef146,definition,
( spl146
<=> ~ cC26(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl146])],[avatar_definition]) ).
cnf(ssp132,plain,
( spl146
| spl79
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p634,sdef79,sdef146]) ).
cnf(p636,plain,
( ~ spl25
| ~ cC2(sk1(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p232,c39]) ).
cnf(ssp133,plain,
( spl147
| spl95
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p636,sdef95,sdef147]) ).
cnf(p638,plain,
( ~ spl25
| cC32(sk1(iV8467))
| cC34(iV8467) ),
inference(resolution,[status(thm)],[p232,c42]) ).
fof(sdef148,definition,
( spl148
<=> cC32(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl148])],[avatar_definition]) ).
cnf(ssp134,plain,
( spl148
| spl102
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p638,sdef102,sdef148]) ).
cnf(p640,plain,
( ~ spl25
| ~ cC2(sk1(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p232,c45]) ).
cnf(ssp135,plain,
( spl147
| spl113
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p640,sdef113,sdef147]) ).
cnf(p641,plain,
( ~ spl25
| cC36(sk1(iV8467))
| cC38(iV8467) ),
inference(resolution,[status(thm)],[p232,c48]) ).
fof(sdef149,definition,
( spl149
<=> cC36(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl149])],[avatar_definition]) ).
cnf(ssp136,plain,
( spl149
| spl115
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p641,sdef115,sdef149]) ).
cnf(p643,plain,
( ~ spl25
| cC2(sk1(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p232,c51]) ).
cnf(ssp137,plain,
( spl144
| spl126
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p643,sdef126,sdef144]) ).
cnf(p644,plain,
( ~ spl25
| ~ cC38(sk1(iV8467))
| cC40(iV8467) ),
inference(resolution,[status(thm)],[p232,c54]) ).
fof(sdef150,definition,
( spl150
<=> ~ cC38(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl150])],[avatar_definition]) ).
cnf(ssp138,plain,
( spl150
| spl128
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p644,sdef128,sdef150]) ).
fof(f20,axiom,
! [X] :
( cC44(X)
<=> ? [Y] :
( cC42(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f20_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC42(Y)
| ~ rR1(X,Y) )
| cC44(X) )
& ( ? [Y] :
( cC42(Y)
& rR1(X,Y) )
| ~ cC44(X) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y] :
( ( ~ cC42(Y)
| ~ rR1(X,Y)
| cC44(X) )
& ( ( cC42(sk13(X))
& rR1(X,sk13(X)) )
| ~ cC44(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13])],[f20_nnf]) ).
cnf(c60,plain,
( ~ cC42(X1)
| ~ rR1(X0,X1)
| cC44(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p648,plain,
( ~ cC42(iV8471)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c151]) ).
fof(sdef151,definition,
( spl151
<=> cC44(iV8467) ),
introduced(definition,[new_symbols(naming,[spl151])],[avatar_definition]) ).
cnf(ssp139,plain,
( spl152
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p648,sdef151,sdef152]) ).
cnf(p651,plain,
( ~ cC42(iV8473)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c152]) ).
fof(sdef153,definition,
( spl153
<=> ~ cC42(iV8473) ),
introduced(definition,[new_symbols(naming,[spl153])],[avatar_definition]) ).
cnf(ssp140,plain,
( spl153
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p651,sdef151,sdef153]) ).
cnf(p653,plain,
( ~ cC42(iV8468)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c153]) ).
fof(sdef154,definition,
( spl154
<=> ~ cC42(iV8468) ),
introduced(definition,[new_symbols(naming,[spl154])],[avatar_definition]) ).
cnf(ssp141,plain,
( spl154
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p653,sdef151,sdef154]) ).
cnf(p655,plain,
( ~ cC42(iV8469)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c154]) ).
fof(sdef155,definition,
( spl155
<=> ~ cC42(iV8469) ),
introduced(definition,[new_symbols(naming,[spl155])],[avatar_definition]) ).
cnf(ssp142,plain,
( spl155
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p655,sdef151,sdef155]) ).
cnf(p657,plain,
( ~ cC42(iV8475)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c155]) ).
fof(sdef156,definition,
( spl156
<=> ~ cC42(iV8475) ),
introduced(definition,[new_symbols(naming,[spl156])],[avatar_definition]) ).
cnf(ssp143,plain,
( spl156
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p657,sdef151,sdef156]) ).
cnf(p659,plain,
( ~ cC42(iV8472)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c156]) ).
fof(sdef157,definition,
( spl157
<=> ~ cC42(iV8472) ),
introduced(definition,[new_symbols(naming,[spl157])],[avatar_definition]) ).
cnf(ssp144,plain,
( spl157
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p659,sdef151,sdef157]) ).
cnf(p661,plain,
( ~ cC42(iV8474)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c157]) ).
fof(sdef158,definition,
( spl158
<=> ~ cC42(iV8474) ),
introduced(definition,[new_symbols(naming,[spl158])],[avatar_definition]) ).
cnf(ssp145,plain,
( spl158
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p661,sdef151,sdef158]) ).
cnf(p663,plain,
( ~ cC42(iV8470)
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,c158]) ).
fof(sdef159,definition,
( spl159
<=> ~ cC42(iV8470) ),
introduced(definition,[new_symbols(naming,[spl159])],[avatar_definition]) ).
cnf(ssp146,plain,
( spl159
| spl151 ),
inference(avatar_split_clause,[status(thm)],[p663,sdef151,sdef159]) ).
cnf(p665,plain,
( ~ cC42(iV8476)
| cC44(iV8472) ),
inference(resolution,[status(thm)],[c60,c172]) ).
fof(sdef160,definition,
( spl160
<=> cC44(iV8472) ),
introduced(definition,[new_symbols(naming,[spl160])],[avatar_definition]) ).
fof(sdef161,definition,
( spl161
<=> ~ cC42(iV8476) ),
introduced(definition,[new_symbols(naming,[spl161])],[avatar_definition]) ).
cnf(ssp147,plain,
( spl161
| spl160 ),
inference(avatar_split_clause,[status(thm)],[p665,sdef160,sdef161]) ).
cnf(p668,plain,
( ~ spl21
| ~ cC42(sk0(iV8467))
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,p218]) ).
fof(sdef162,definition,
( spl162
<=> ~ cC42(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl162])],[avatar_definition]) ).
cnf(ssp148,plain,
( spl162
| spl151
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p668,sdef151,sdef162]) ).
cnf(p670,plain,
( ~ spl25
| ~ cC42(sk1(iV8467))
| cC44(iV8467) ),
inference(resolution,[status(thm)],[c60,p232]) ).
fof(sdef163,definition,
( spl163
<=> ~ cC42(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl163])],[avatar_definition]) ).
cnf(ssp149,plain,
( spl163
| spl151
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p670,sdef151,sdef163]) ).
cnf(c66,plain,
( cC2(X1)
| ~ rR1(X0,X1)
| cC48(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p689,plain,
( cC2(iV8471)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c151]) ).
cnf(ssp150,plain,
( spl164
| spl56 ),
inference(avatar_split_clause,[status(thm)],[p689,sdef56,sdef164]) ).
cnf(p691,plain,
( cC2(iV8473)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c152]) ).
cnf(ssp151,plain,
( spl164
| spl57 ),
inference(avatar_split_clause,[status(thm)],[p691,sdef57,sdef164]) ).
cnf(p692,plain,
( cC2(iV8468)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c153]) ).
cnf(ssp152,plain,
( spl164
| spl58 ),
inference(avatar_split_clause,[status(thm)],[p692,sdef58,sdef164]) ).
cnf(p693,plain,
( cC2(iV8469)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c154]) ).
cnf(ssp153,plain,
( spl164
| spl59 ),
inference(avatar_split_clause,[status(thm)],[p693,sdef59,sdef164]) ).
cnf(p694,plain,
( cC2(iV8475)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c155]) ).
cnf(ssp154,plain,
( spl164
| spl60 ),
inference(avatar_split_clause,[status(thm)],[p694,sdef60,sdef164]) ).
cnf(p695,plain,
( cC2(iV8472)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c156]) ).
cnf(ssp155,plain,
( spl164
| spl61 ),
inference(avatar_split_clause,[status(thm)],[p695,sdef61,sdef164]) ).
cnf(p696,plain,
( cC2(iV8474)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c157]) ).
cnf(ssp156,plain,
( spl164
| spl62 ),
inference(avatar_split_clause,[status(thm)],[p696,sdef62,sdef164]) ).
cnf(p697,plain,
( cC2(iV8470)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,c158]) ).
cnf(ssp157,plain,
( spl164
| spl63 ),
inference(avatar_split_clause,[status(thm)],[p697,sdef63,sdef164]) ).
cnf(p698,plain,
( ~ spl21
| cC2(sk0(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,p218]) ).
cnf(ssp158,plain,
( spl164
| spl92
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p698,sdef92,sdef164]) ).
cnf(p699,plain,
( ~ spl25
| cC2(sk1(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[c66,p232]) ).
cnf(ssp159,plain,
( spl164
| spl144
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p699,sdef144,sdef164]) ).
cnf(c13,plain,
( rR1(X0,sk2(X0))
| ~ cC16(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p259,plain,
( ~ spl35
| rR1(iV8467,sk2(iV8467)) ),
inference(resolution,[status(thm)],[p247,c13]) ).
cnf(p703,plain,
( ~ spl35
| ~ cC10(sk2(iV8467))
| cC12(iV8467) ),
inference(resolution,[status(thm)],[p259,c9]) ).
fof(sdef165,definition,
( spl165
<=> ~ cC10(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl165])],[avatar_definition]) ).
cnf(ssp160,plain,
( spl165
| spl21
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p703,sdef21,sdef165]) ).
cnf(p705,plain,
( ~ spl35
| ~ cTOP(sk2(iV8467))
| cC14(iV8467) ),
inference(resolution,[status(thm)],[p259,c12]) ).
fof(sdef166,definition,
( spl166
<=> ~ cTOP(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl166])],[avatar_definition]) ).
cnf(ssp161,plain,
( spl166
| spl25
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p705,sdef25,sdef166]) ).
cnf(p707,plain,
( ~ spl35
| cC2(sk2(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p259,c21]) ).
cnf(ssp162,plain,
( spl167
| spl55
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p707,sdef55,sdef167]) ).
cnf(p709,plain,
( ~ spl35
| cC2(sk2(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p259,c24]) ).
cnf(ssp163,plain,
( spl167
| spl64
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p709,sdef64,sdef167]) ).
cnf(p710,plain,
( ~ spl35
| ~ cC22(sk2(iV8467))
| cC24(iV8467) ),
inference(resolution,[status(thm)],[p259,c27]) ).
fof(sdef168,definition,
( spl168
<=> ~ cC22(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl168])],[avatar_definition]) ).
cnf(ssp164,plain,
( spl168
| spl65
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p710,sdef65,sdef168]) ).
cnf(p712,plain,
( ~ spl35
| ~ cC26(sk2(iV8467))
| cC28(iV8467) ),
inference(resolution,[status(thm)],[p259,c33]) ).
fof(sdef169,definition,
( spl169
<=> ~ cC26(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl169])],[avatar_definition]) ).
cnf(ssp165,plain,
( spl169
| spl79
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p712,sdef79,sdef169]) ).
cnf(p714,plain,
( ~ spl35
| ~ cC2(sk2(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p259,c39]) ).
cnf(ssp166,plain,
( spl170
| spl95
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p714,sdef95,sdef170]) ).
cnf(p716,plain,
( ~ spl35
| cC32(sk2(iV8467))
| cC34(iV8467) ),
inference(resolution,[status(thm)],[p259,c42]) ).
fof(sdef171,definition,
( spl171
<=> cC32(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl171])],[avatar_definition]) ).
cnf(ssp167,plain,
( spl171
| spl102
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p716,sdef102,sdef171]) ).
cnf(p718,plain,
( ~ spl35
| ~ cC2(sk2(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p259,c45]) ).
cnf(ssp168,plain,
( spl170
| spl113
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p718,sdef113,sdef170]) ).
cnf(p719,plain,
( ~ spl35
| cC36(sk2(iV8467))
| cC38(iV8467) ),
inference(resolution,[status(thm)],[p259,c48]) ).
fof(sdef172,definition,
( spl172
<=> cC36(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl172])],[avatar_definition]) ).
cnf(ssp169,plain,
( spl172
| spl115
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p719,sdef115,sdef172]) ).
cnf(p721,plain,
( ~ spl35
| cC2(sk2(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p259,c51]) ).
cnf(ssp170,plain,
( spl167
| spl126
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p721,sdef126,sdef167]) ).
cnf(p722,plain,
( ~ spl35
| ~ cC38(sk2(iV8467))
| cC40(iV8467) ),
inference(resolution,[status(thm)],[p259,c54]) ).
fof(sdef173,definition,
( spl173
<=> ~ cC38(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl173])],[avatar_definition]) ).
cnf(ssp171,plain,
( spl173
| spl128
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p722,sdef128,sdef173]) ).
cnf(p724,plain,
( ~ spl35
| ~ cC42(sk2(iV8467))
| cC44(iV8467) ),
inference(resolution,[status(thm)],[p259,c60]) ).
fof(sdef174,definition,
( spl174
<=> ~ cC42(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl174])],[avatar_definition]) ).
cnf(ssp172,plain,
( spl174
| spl151
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p724,sdef151,sdef174]) ).
cnf(p726,plain,
( ~ spl35
| cC2(sk2(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p259,c66]) ).
cnf(ssp173,plain,
( spl167
| spl164
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p726,sdef164,sdef167]) ).
cnf(c69,plain,
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC50(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p732,plain,
( ~ cC2(iV8469)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c69,c154]) ).
fof(sdef175,definition,
( spl175
<=> cC50(iV8467) ),
introduced(definition,[new_symbols(naming,[spl175])],[avatar_definition]) ).
cnf(ssp174,plain,
( spl175
| spl96 ),
inference(avatar_split_clause,[status(thm)],[p732,sdef96,sdef175]) ).
cnf(p734,plain,
( ~ cC2(iV8474)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c69,c157]) ).
cnf(ssp175,plain,
( spl175
| spl97 ),
inference(avatar_split_clause,[status(thm)],[p734,sdef97,sdef175]) ).
cnf(p735,plain,
( ~ cC2(iV8470)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c69,c158]) ).
cnf(ssp176,plain,
( spl175
| spl98 ),
inference(avatar_split_clause,[status(thm)],[p735,sdef98,sdef175]) ).
cnf(p736,plain,
( ~ cC2(iV8476)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[c69,c172]) ).
fof(sdef176,definition,
( spl176
<=> cC50(iV8472) ),
introduced(definition,[new_symbols(naming,[spl176])],[avatar_definition]) ).
cnf(ssp177,plain,
( spl176
| spl100 ),
inference(avatar_split_clause,[status(thm)],[p736,sdef100,sdef176]) ).
cnf(p738,plain,
( ~ spl21
| ~ cC2(sk0(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c69,p218]) ).
cnf(ssp178,plain,
( spl175
| spl101
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p738,sdef101,sdef175]) ).
cnf(p739,plain,
( ~ spl25
| ~ cC2(sk1(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c69,p232]) ).
cnf(ssp179,plain,
( spl175
| spl147
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p739,sdef147,sdef175]) ).
cnf(p740,plain,
( ~ spl35
| ~ cC2(sk2(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c69,p259]) ).
cnf(ssp180,plain,
( spl175
| spl170
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p740,sdef170,sdef175]) ).
cnf(p248,plain,
( ~ spl36
| cC14(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef36]) ).
cnf(p261,plain,
( ~ spl36
| rR1(iV8471,sk1(iV8471)) ),
inference(resolution,[status(thm)],[p248,c10]) ).
cnf(p745,plain,
( ~ spl36
| ~ cC10(sk1(iV8471))
| cC12(iV8471) ),
inference(resolution,[status(thm)],[p261,c9]) ).
fof(sdef177,definition,
( spl177
<=> cC12(iV8471) ),
introduced(definition,[new_symbols(naming,[spl177])],[avatar_definition]) ).
fof(sdef178,definition,
( spl178
<=> ~ cC10(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl178])],[avatar_definition]) ).
cnf(ssp181,plain,
( spl178
| spl177
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p745,sdef177,sdef178]) ).
cnf(p748,plain,
( ~ spl36
| cC14(sk1(iV8471))
| cC16(iV8471) ),
inference(resolution,[status(thm)],[p261,c15]) ).
fof(sdef180,definition,
( spl180
<=> cC14(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl180])],[avatar_definition]) ).
cnf(ssp182,plain,
( spl180
| spl179
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p748,sdef179,sdef180]) ).
cnf(p751,plain,
( ~ spl36
| cC2(sk1(iV8471))
| cC20(iV8471) ),
inference(resolution,[status(thm)],[p261,c21]) ).
cnf(ssp183,plain,
( spl182
| spl181
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p751,sdef181,sdef182]) ).
cnf(p754,plain,
( ~ spl36
| cC2(sk1(iV8471))
| cC22(iV8471) ),
inference(resolution,[status(thm)],[p261,c24]) ).
cnf(ssp184,plain,
( spl183
| spl182
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p754,sdef182,sdef183]) ).
cnf(p756,plain,
( ~ spl36
| ~ cC22(sk1(iV8471))
| cC24(iV8471) ),
inference(resolution,[status(thm)],[p261,c27]) ).
fof(sdef184,definition,
( spl184
<=> cC24(iV8471) ),
introduced(definition,[new_symbols(naming,[spl184])],[avatar_definition]) ).
fof(sdef185,definition,
( spl185
<=> ~ cC22(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl185])],[avatar_definition]) ).
cnf(ssp185,plain,
( spl185
| spl184
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p756,sdef184,sdef185]) ).
cnf(p759,plain,
( ~ spl36
| ~ cC26(sk1(iV8471))
| cC28(iV8471) ),
inference(resolution,[status(thm)],[p261,c33]) ).
fof(sdef187,definition,
( spl187
<=> ~ cC26(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl187])],[avatar_definition]) ).
cnf(ssp186,plain,
( spl187
| spl186
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p759,sdef186,sdef187]) ).
cnf(p762,plain,
( ~ spl36
| ~ cC2(sk1(iV8471))
| cC32(iV8471) ),
inference(resolution,[status(thm)],[p261,c39]) ).
cnf(ssp187,plain,
( spl188
| spl103
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p762,sdef103,sdef188]) ).
cnf(p764,plain,
( ~ spl36
| cC32(sk1(iV8471))
| cC34(iV8471) ),
inference(resolution,[status(thm)],[p261,c42]) ).
fof(sdef190,definition,
( spl190
<=> cC32(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl190])],[avatar_definition]) ).
cnf(ssp188,plain,
( spl190
| spl189
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p764,sdef189,sdef190]) ).
cnf(p767,plain,
( ~ spl36
| ~ cC2(sk1(iV8471))
| cC36(iV8471) ),
inference(resolution,[status(thm)],[p261,c45]) ).
cnf(ssp189,plain,
( spl188
| spl116
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p767,sdef116,sdef188]) ).
cnf(p768,plain,
( ~ spl36
| cC36(sk1(iV8471))
| cC38(iV8471) ),
inference(resolution,[status(thm)],[p261,c48]) ).
fof(sdef192,definition,
( spl192
<=> cC36(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl192])],[avatar_definition]) ).
cnf(ssp190,plain,
( spl192
| spl191
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p768,sdef191,sdef192]) ).
cnf(p771,plain,
( ~ spl36
| cC2(sk1(iV8471))
| cC4(iV8471) ),
inference(resolution,[status(thm)],[p261,c51]) ).
fof(sdef193,definition,
( spl193
<=> cC4(iV8471) ),
introduced(definition,[new_symbols(naming,[spl193])],[avatar_definition]) ).
cnf(ssp191,plain,
( spl193
| spl182
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p771,sdef182,sdef193]) ).
cnf(p773,plain,
( ~ spl36
| ~ cC38(sk1(iV8471))
| cC40(iV8471) ),
inference(resolution,[status(thm)],[p261,c54]) ).
fof(sdef194,definition,
( spl194
<=> cC40(iV8471) ),
introduced(definition,[new_symbols(naming,[spl194])],[avatar_definition]) ).
fof(sdef195,definition,
( spl195
<=> ~ cC38(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl195])],[avatar_definition]) ).
cnf(ssp192,plain,
( spl195
| spl194
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p773,sdef194,sdef195]) ).
cnf(p776,plain,
( ~ spl36
| ~ cC42(sk1(iV8471))
| cC44(iV8471) ),
inference(resolution,[status(thm)],[p261,c60]) ).
fof(sdef197,definition,
( spl197
<=> ~ cC42(sk1(iV8471)) ),
introduced(definition,[new_symbols(naming,[spl197])],[avatar_definition]) ).
cnf(ssp193,plain,
( spl197
| spl196
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p776,sdef196,sdef197]) ).
cnf(p779,plain,
( ~ spl36
| cC2(sk1(iV8471))
| cC48(iV8471) ),
inference(resolution,[status(thm)],[p261,c66]) ).
cnf(ssp194,plain,
( spl198
| spl182
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p779,sdef182,sdef198]) ).
cnf(p781,plain,
( ~ spl36
| ~ cC2(sk1(iV8471))
| cC50(iV8471) ),
inference(resolution,[status(thm)],[p261,c69]) ).
cnf(ssp195,plain,
( spl199
| spl188
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p781,sdef188,sdef199]) ).
cnf(p746,plain,
( ~ spl177
| cC12(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef177]) ).
cnf(p785,plain,
( ~ spl177
| cC16(iV8471)
| cC18(iV8471) ),
inference(resolution,[status(thm)],[p746,c18]) ).
cnf(ssp196,plain,
( spl200
| spl179
| ~ spl177 ),
inference(avatar_split_clause,[status(thm)],[p785,sdef179,sdef200]) ).
cnf(p757,plain,
( ~ spl184
| cC24(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef184]) ).
cnf(p796,plain,
( ~ spl184
| cC20(iV8471)
| cC26(iV8471) ),
inference(resolution,[status(thm)],[p757,c30]) ).
cnf(ssp197,plain,
( spl201
| spl181
| ~ spl184 ),
inference(avatar_split_clause,[status(thm)],[p796,sdef181,sdef201]) ).
fof(f24,axiom,
! [X] :
( cC52(X)
<=> ( ~ cC48(X)
& ~ cC50(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f24_nnf,plain,
! [X] :
( ( cC48(X)
| cC50(X)
| cC52(X) )
& ( ( ~ cC48(X)
& ~ cC50(X) )
| ~ cC52(X) ) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X] :
( ( cC48(X)
| cC50(X)
| cC52(X) )
& ( ( ~ cC48(X)
& ~ cC50(X) )
| ~ cC52(X) ) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c72,plain,
( cC48(X0)
| cC50(X0)
| cC52(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f53,axiom,
~ cC52(iV8467),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f53_nnf,plain,
~ cC52(iV8467),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
~ cC52(iV8467),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c149,plain,
~ cC52(iV8467),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p800,plain,
( cC48(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[c72,c149]) ).
cnf(ssp198,plain,
( spl175
| spl164 ),
inference(avatar_split_clause,[status(thm)],[p800,sdef164,sdef175]) ).
cnf(p772,plain,
( ~ spl193
| cC4(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef193]) ).
cnf(p806,plain,
( ~ spl193
| ~ cC8(iV8471)
| cC10(iV8471) ),
inference(resolution,[status(thm)],[p772,c6]) ).
cnf(ssp199,plain,
( spl203
| spl202
| ~ spl193 ),
inference(avatar_split_clause,[status(thm)],[p806,sdef202,sdef203]) ).
cnf(p774,plain,
( ~ spl194
| cC40(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef194]) ).
cnf(p813,plain,
( ~ spl194
| cC34(iV8471)
| cC42(iV8471) ),
inference(resolution,[status(thm)],[p774,c57]) ).
cnf(ssp200,plain,
( spl204
| spl189
| ~ spl194 ),
inference(avatar_split_clause,[status(thm)],[p813,sdef189,sdef204]) ).
cnf(c36,plain,
( cC28(X0)
| ~ cC18(X0)
| cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p823,plain,
( ~ spl200
| cC28(iV8471)
| cC30(iV8471) ),
inference(resolution,[status(thm)],[p786,c36]) ).
cnf(ssp201,plain,
( spl205
| spl186
| ~ spl200 ),
inference(avatar_split_clause,[status(thm)],[p823,sdef186,sdef205]) ).
fof(f25,axiom,
! [X] :
( cC54(X)
<=> ? [Y] :
( cC52(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f25_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC52(Y)
| ~ rR1(X,Y) )
| cC54(X) )
& ( ? [Y] :
( cC52(Y)
& rR1(X,Y) )
| ~ cC54(X) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] :
( ( ~ cC52(Y)
| ~ rR1(X,Y)
| cC54(X) )
& ( ( cC52(sk16(X))
& rR1(X,sk16(X)) )
| ~ cC54(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk16])],[f25_nnf]) ).
cnf(c75,plain,
( ~ cC52(X1)
| ~ rR1(X0,X1)
| cC54(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p834,plain,
( ~ cC52(iV8471)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c151]) ).
fof(sdef206,definition,
( spl206
<=> cC54(iV8467) ),
introduced(definition,[new_symbols(naming,[spl206])],[avatar_definition]) ).
fof(sdef207,definition,
( spl207
<=> ~ cC52(iV8471) ),
introduced(definition,[new_symbols(naming,[spl207])],[avatar_definition]) ).
cnf(ssp202,plain,
( spl207
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p834,sdef206,sdef207]) ).
cnf(p837,plain,
( ~ cC52(iV8473)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c152]) ).
fof(sdef208,definition,
( spl208
<=> ~ cC52(iV8473) ),
introduced(definition,[new_symbols(naming,[spl208])],[avatar_definition]) ).
cnf(ssp203,plain,
( spl208
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p837,sdef206,sdef208]) ).
cnf(p839,plain,
( ~ cC52(iV8468)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c153]) ).
fof(sdef209,definition,
( spl209
<=> ~ cC52(iV8468) ),
introduced(definition,[new_symbols(naming,[spl209])],[avatar_definition]) ).
cnf(ssp204,plain,
( spl209
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p839,sdef206,sdef209]) ).
cnf(p841,plain,
( ~ cC52(iV8469)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c154]) ).
fof(sdef210,definition,
( spl210
<=> ~ cC52(iV8469) ),
introduced(definition,[new_symbols(naming,[spl210])],[avatar_definition]) ).
cnf(ssp205,plain,
( spl210
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p841,sdef206,sdef210]) ).
cnf(p843,plain,
( ~ cC52(iV8475)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c155]) ).
fof(sdef211,definition,
( spl211
<=> ~ cC52(iV8475) ),
introduced(definition,[new_symbols(naming,[spl211])],[avatar_definition]) ).
cnf(ssp206,plain,
( spl211
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p843,sdef206,sdef211]) ).
cnf(p845,plain,
( ~ cC52(iV8472)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c156]) ).
fof(sdef212,definition,
( spl212
<=> ~ cC52(iV8472) ),
introduced(definition,[new_symbols(naming,[spl212])],[avatar_definition]) ).
cnf(ssp207,plain,
( spl212
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p845,sdef206,sdef212]) ).
cnf(p847,plain,
( ~ cC52(iV8474)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c157]) ).
fof(sdef213,definition,
( spl213
<=> ~ cC52(iV8474) ),
introduced(definition,[new_symbols(naming,[spl213])],[avatar_definition]) ).
cnf(ssp208,plain,
( spl213
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p847,sdef206,sdef213]) ).
cnf(p849,plain,
( ~ cC52(iV8470)
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,c158]) ).
fof(sdef214,definition,
( spl214
<=> ~ cC52(iV8470) ),
introduced(definition,[new_symbols(naming,[spl214])],[avatar_definition]) ).
cnf(ssp209,plain,
( spl214
| spl206 ),
inference(avatar_split_clause,[status(thm)],[p849,sdef206,sdef214]) ).
cnf(p851,plain,
( ~ cC52(iV8476)
| cC54(iV8472) ),
inference(resolution,[status(thm)],[c75,c172]) ).
fof(sdef215,definition,
( spl215
<=> cC54(iV8472) ),
introduced(definition,[new_symbols(naming,[spl215])],[avatar_definition]) ).
fof(sdef216,definition,
( spl216
<=> ~ cC52(iV8476) ),
introduced(definition,[new_symbols(naming,[spl216])],[avatar_definition]) ).
cnf(ssp210,plain,
( spl216
| spl215 ),
inference(avatar_split_clause,[status(thm)],[p851,sdef215,sdef216]) ).
cnf(p854,plain,
( ~ spl21
| ~ cC52(sk0(iV8467))
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,p218]) ).
fof(sdef217,definition,
( spl217
<=> ~ cC52(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl217])],[avatar_definition]) ).
cnf(ssp211,plain,
( spl217
| spl206
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p854,sdef206,sdef217]) ).
cnf(p856,plain,
( ~ spl25
| ~ cC52(sk1(iV8467))
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,p232]) ).
fof(sdef218,definition,
( spl218
<=> ~ cC52(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl218])],[avatar_definition]) ).
cnf(ssp212,plain,
( spl218
| spl206
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p856,sdef206,sdef218]) ).
cnf(p858,plain,
( ~ spl35
| ~ cC52(sk2(iV8467))
| cC54(iV8467) ),
inference(resolution,[status(thm)],[c75,p259]) ).
fof(sdef219,definition,
( spl219
<=> ~ cC52(sk2(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl219])],[avatar_definition]) ).
cnf(ssp213,plain,
( spl219
| spl206
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p858,sdef206,sdef219]) ).
cnf(c63,plain,
( ~ cC30(X0)
| cC44(X0)
| cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p865,plain,
( ~ spl205
| cC44(iV8471)
| cC46(iV8471) ),
inference(resolution,[status(thm)],[p824,c63]) ).
cnf(ssp214,plain,
( spl220
| spl196
| ~ spl205 ),
inference(avatar_split_clause,[status(thm)],[p865,sdef196,sdef220]) ).
cnf(p836,plain,
( ~ spl207
| ~ cC52(iV8471) ),
inference(avatar_component_clause,[status(thm)],[sdef207]) ).
cnf(p878,plain,
( ~ spl207
| cC48(iV8471)
| cC50(iV8471) ),
inference(resolution,[status(thm)],[p836,c72]) ).
cnf(ssp215,plain,
( spl199
| spl198
| ~ spl207 ),
inference(avatar_split_clause,[status(thm)],[p878,sdef198,sdef199]) ).
cnf(p838,plain,
( ~ spl208
| ~ cC52(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef208]) ).
cnf(p879,plain,
( ~ spl208
| cC48(iV8473)
| cC50(iV8473) ),
inference(resolution,[status(thm)],[p838,c72]) ).
cnf(ssp216,plain,
( spl222
| spl221
| ~ spl208 ),
inference(avatar_split_clause,[status(thm)],[p879,sdef221,sdef222]) ).
cnf(p840,plain,
( ~ spl209
| ~ cC52(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef209]) ).
cnf(p882,plain,
( ~ spl209
| cC48(iV8468)
| cC50(iV8468) ),
inference(resolution,[status(thm)],[p840,c72]) ).
cnf(ssp217,plain,
( spl224
| spl223
| ~ spl209 ),
inference(avatar_split_clause,[status(thm)],[p882,sdef223,sdef224]) ).
cnf(p842,plain,
( ~ spl210
| ~ cC52(iV8469) ),
inference(avatar_component_clause,[status(thm)],[sdef210]) ).
cnf(p885,plain,
( ~ spl210
| cC48(iV8469)
| cC50(iV8469) ),
inference(resolution,[status(thm)],[p842,c72]) ).
cnf(ssp218,plain,
( spl226
| spl225
| ~ spl210 ),
inference(avatar_split_clause,[status(thm)],[p885,sdef225,sdef226]) ).
cnf(p844,plain,
( ~ spl211
| ~ cC52(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef211]) ).
cnf(p888,plain,
( ~ spl211
| cC48(iV8475)
| cC50(iV8475) ),
inference(resolution,[status(thm)],[p844,c72]) ).
cnf(ssp219,plain,
( spl228
| spl227
| ~ spl211 ),
inference(avatar_split_clause,[status(thm)],[p888,sdef227,sdef228]) ).
cnf(p846,plain,
( ~ spl212
| ~ cC52(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef212]) ).
cnf(p891,plain,
( ~ spl212
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p846,c72]) ).
cnf(ssp220,plain,
( spl229
| spl176
| ~ spl212 ),
inference(avatar_split_clause,[status(thm)],[p891,sdef176,sdef229]) ).
cnf(p848,plain,
( ~ spl213
| ~ cC52(iV8474) ),
inference(avatar_component_clause,[status(thm)],[sdef213]) ).
cnf(p893,plain,
( ~ spl213
| cC48(iV8474)
| cC50(iV8474) ),
inference(resolution,[status(thm)],[p848,c72]) ).
cnf(ssp221,plain,
( spl231
| spl230
| ~ spl213 ),
inference(avatar_split_clause,[status(thm)],[p893,sdef230,sdef231]) ).
cnf(p850,plain,
( ~ spl214
| ~ cC52(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef214]) ).
cnf(p896,plain,
( ~ spl214
| cC48(iV8470)
| cC50(iV8470) ),
inference(resolution,[status(thm)],[p850,c72]) ).
cnf(ssp222,plain,
( spl233
| spl232
| ~ spl214 ),
inference(avatar_split_clause,[status(thm)],[p896,sdef232,sdef233]) ).
cnf(p853,plain,
( ~ spl216
| ~ cC52(iV8476) ),
inference(avatar_component_clause,[status(thm)],[sdef216]) ).
cnf(p901,plain,
( ~ spl216
| cC48(iV8476)
| cC50(iV8476) ),
inference(resolution,[status(thm)],[p853,c72]) ).
fof(sdef234,definition,
( spl234
<=> cC50(iV8476) ),
introduced(definition,[new_symbols(naming,[spl234])],[avatar_definition]) ).
cnf(ssp223,plain,
( spl235
| spl234
| ~ spl216 ),
inference(avatar_split_clause,[status(thm)],[p901,sdef234,sdef235]) ).
cnf(c78,plain,
( ~ cC46(X0)
| cC54(X0)
| cC56(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p909,plain,
( ~ spl220
| cC54(iV8471)
| cC56(iV8471) ),
inference(resolution,[status(thm)],[p866,c78]) ).
cnf(ssp224,plain,
( spl237
| spl236
| ~ spl220 ),
inference(avatar_split_clause,[status(thm)],[p909,sdef236,sdef237]) ).
cnf(p914,plain,
( ~ cC2(iV8469)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[c81,c154]) ).
fof(sdef238,definition,
( spl238
<=> cC58(iV8467) ),
introduced(definition,[new_symbols(naming,[spl238])],[avatar_definition]) ).
cnf(ssp225,plain,
( spl238
| spl96 ),
inference(avatar_split_clause,[status(thm)],[p914,sdef96,sdef238]) ).
cnf(p916,plain,
( ~ cC2(iV8474)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[c81,c157]) ).
cnf(ssp226,plain,
( spl238
| spl97 ),
inference(avatar_split_clause,[status(thm)],[p916,sdef97,sdef238]) ).
cnf(p917,plain,
( ~ cC2(iV8470)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[c81,c158]) ).
cnf(ssp227,plain,
( spl238
| spl98 ),
inference(avatar_split_clause,[status(thm)],[p917,sdef98,sdef238]) ).
cnf(p918,plain,
( ~ cC2(iV8476)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[c81,c172]) ).
cnf(ssp228,plain,
( spl239
| spl100 ),
inference(avatar_split_clause,[status(thm)],[p918,sdef100,sdef239]) ).
cnf(p920,plain,
( ~ spl21
| ~ cC2(sk0(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[c81,p218]) ).
cnf(ssp229,plain,
( spl238
| spl101
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p920,sdef101,sdef238]) ).
cnf(p921,plain,
( ~ spl25
| ~ cC2(sk1(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[c81,p232]) ).
cnf(ssp230,plain,
( spl238
| spl147
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p921,sdef147,sdef238]) ).
cnf(p922,plain,
( ~ spl35
| ~ cC2(sk2(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[c81,p259]) ).
cnf(ssp231,plain,
( spl238
| spl170
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p922,sdef170,sdef238]) ).
fof(f28,axiom,
! [X] :
( cC6(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f28_nnf,plain,
! [X] :
( ( ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) )
| cC6(X) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC6(X) ) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X,Y] :
( ( cC2(Y)
| ~ rR1(X,Y)
| cC6(X) )
& ( ( ~ cC2(sk18(X))
& rR1(X,sk18(X)) )
| ~ cC6(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk18])],[f28_nnf]) ).
cnf(c84,plain,
( cC2(X1)
| ~ rR1(X0,X1)
| cC6(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p947,plain,
( cC2(iV8471)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c151]) ).
fof(sdef240,definition,
( spl240
<=> cC6(iV8467) ),
introduced(definition,[new_symbols(naming,[spl240])],[avatar_definition]) ).
cnf(ssp232,plain,
( spl240
| spl56 ),
inference(avatar_split_clause,[status(thm)],[p947,sdef56,sdef240]) ).
cnf(p949,plain,
( cC2(iV8473)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c152]) ).
cnf(ssp233,plain,
( spl240
| spl57 ),
inference(avatar_split_clause,[status(thm)],[p949,sdef57,sdef240]) ).
cnf(p950,plain,
( cC2(iV8468)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c153]) ).
cnf(ssp234,plain,
( spl240
| spl58 ),
inference(avatar_split_clause,[status(thm)],[p950,sdef58,sdef240]) ).
cnf(p951,plain,
( cC2(iV8469)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c154]) ).
cnf(ssp235,plain,
( spl240
| spl59 ),
inference(avatar_split_clause,[status(thm)],[p951,sdef59,sdef240]) ).
cnf(p952,plain,
( cC2(iV8475)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c155]) ).
cnf(ssp236,plain,
( spl240
| spl60 ),
inference(avatar_split_clause,[status(thm)],[p952,sdef60,sdef240]) ).
cnf(p953,plain,
( cC2(iV8472)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c156]) ).
cnf(ssp237,plain,
( spl240
| spl61 ),
inference(avatar_split_clause,[status(thm)],[p953,sdef61,sdef240]) ).
cnf(p954,plain,
( cC2(iV8474)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c157]) ).
cnf(ssp238,plain,
( spl240
| spl62 ),
inference(avatar_split_clause,[status(thm)],[p954,sdef62,sdef240]) ).
cnf(p955,plain,
( cC2(iV8470)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,c158]) ).
cnf(ssp239,plain,
( spl240
| spl63 ),
inference(avatar_split_clause,[status(thm)],[p955,sdef63,sdef240]) ).
cnf(p956,plain,
( ~ spl21
| cC2(sk0(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,p218]) ).
cnf(ssp240,plain,
( spl240
| spl92
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p956,sdef92,sdef240]) ).
cnf(p957,plain,
( ~ spl25
| cC2(sk1(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,p232]) ).
cnf(ssp241,plain,
( spl240
| spl144
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p957,sdef144,sdef240]) ).
cnf(p958,plain,
( ~ spl35
| cC2(sk2(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[c84,p259]) ).
cnf(ssp242,plain,
( spl240
| spl167
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p958,sdef167,sdef240]) ).
cnf(p915,plain,
( ~ spl238
| cC58(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef238]) ).
cnf(p978,plain,
( ~ spl238
| cC2(iV8467)
| cC60(iV8467) ),
inference(resolution,[status(thm)],[c87,p915]) ).
cnf(ssp243,plain,
( spl242
| spl241
| ~ spl238 ),
inference(avatar_split_clause,[status(thm)],[p978,sdef241,sdef242]) ).
cnf(p981,plain,
( ~ spl239
| cC2(iV8472)
| cC60(iV8472) ),
inference(resolution,[status(thm)],[c87,p919]) ).
cnf(ssp244,plain,
( spl243
| spl61
| ~ spl239 ),
inference(avatar_split_clause,[status(thm)],[p981,sdef61,sdef243]) ).
cnf(c90,plain,
( ~ cC60(X1)
| ~ rR1(X0,X1)
| cC62(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p997,plain,
( ~ cC60(iV8471)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c151]) ).
cnf(ssp245,plain,
( spl245
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p997,sdef244,sdef245]) ).
cnf(p1000,plain,
( ~ cC60(iV8473)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c152]) ).
cnf(ssp246,plain,
( spl246
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p1000,sdef244,sdef246]) ).
cnf(p1002,plain,
( ~ cC60(iV8468)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c153]) ).
cnf(ssp247,plain,
( spl247
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p1002,sdef244,sdef247]) ).
cnf(p1004,plain,
( ~ cC60(iV8469)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c154]) ).
cnf(ssp248,plain,
( spl248
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p1004,sdef244,sdef248]) ).
cnf(p1006,plain,
( ~ cC60(iV8475)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c155]) ).
cnf(ssp249,plain,
( spl249
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p1006,sdef244,sdef249]) ).
cnf(p1008,plain,
( ~ cC60(iV8472)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c156]) ).
cnf(ssp250,plain,
( spl244
| spl16 ),
inference(avatar_split_clause,[status(thm)],[p1008,sdef16,sdef244]) ).
cnf(p1009,plain,
( ~ cC60(iV8474)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c157]) ).
fof(sdef250,definition,
( spl250
<=> ~ cC60(iV8474) ),
introduced(definition,[new_symbols(naming,[spl250])],[avatar_definition]) ).
cnf(ssp251,plain,
( spl250
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p1009,sdef244,sdef250]) ).
cnf(p1011,plain,
( ~ cC60(iV8470)
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,c158]) ).
cnf(ssp252,plain,
( spl251
| spl244 ),
inference(avatar_split_clause,[status(thm)],[p1011,sdef244,sdef251]) ).
cnf(p1013,plain,
( ~ cC60(iV8476)
| cC62(iV8472) ),
inference(resolution,[status(thm)],[c90,c172]) ).
fof(sdef253,definition,
( spl253
<=> ~ cC60(iV8476) ),
introduced(definition,[new_symbols(naming,[spl253])],[avatar_definition]) ).
cnf(ssp253,plain,
( spl253
| spl252 ),
inference(avatar_split_clause,[status(thm)],[p1013,sdef252,sdef253]) ).
cnf(p1016,plain,
( ~ spl21
| ~ cC60(sk0(iV8467))
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,p218]) ).
fof(sdef254,definition,
( spl254
<=> ~ cC60(sk0(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl254])],[avatar_definition]) ).
cnf(ssp254,plain,
( spl254
| spl244
| ~ spl21 ),
inference(avatar_split_clause,[status(thm)],[p1016,sdef244,sdef254]) ).
cnf(p1018,plain,
( ~ spl25
| ~ cC60(sk1(iV8467))
| cC62(iV8467) ),
inference(resolution,[status(thm)],[c90,p232]) ).
fof(sdef255,definition,
( spl255
<=> ~ cC60(sk1(iV8467)) ),
introduced(definition,[new_symbols(naming,[spl255])],[avatar_definition]) ).
cnf(ssp255,plain,
( spl255
| spl244
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p1018,sdef244,sdef255]) ).
cnf(p250,plain,
( ~ spl37
| cC14(iV8473) ),
inference(avatar_component_clause,[status(thm)],[sdef37]) ).
cnf(p263,plain,
( ~ spl37
| rR1(iV8473,sk1(iV8473)) ),
inference(resolution,[status(thm)],[p250,c10]) ).
cnf(p1093,plain,
( ~ spl37
| cC2(sk1(iV8473))
| cC48(iV8473) ),
inference(resolution,[status(thm)],[p263,c66]) ).
cnf(p1086,plain,
( ~ spl37
| ~ cC2(sk1(iV8473))
| cC32(iV8473) ),
inference(resolution,[status(thm)],[p263,c39]) ).
cnf(p4065,plain,
( ~ spl37
| cC32(iV8473)
| cC48(iV8473) ),
inference(resolution,[status(thm)],[p1093,p1086]) ).
cnf(ssp256,plain,
( spl222
| spl104
| ~ spl37 ),
inference(avatar_split_clause,[status(thm)],[p4065,sdef104,sdef222]) ).
cnf(p1088,plain,
( ~ spl37
| ~ cC2(sk1(iV8473))
| cC36(iV8473) ),
inference(resolution,[status(thm)],[p263,c45]) ).
cnf(p4066,plain,
( ~ spl37
| cC36(iV8473)
| cC48(iV8473) ),
inference(resolution,[status(thm)],[p1093,p1088]) ).
cnf(ssp257,plain,
( spl222
| spl117
| ~ spl37 ),
inference(avatar_split_clause,[status(thm)],[p4066,sdef117,sdef222]) ).
cnf(p1094,plain,
( ~ spl37
| ~ cC2(sk1(iV8473))
| cC50(iV8473) ),
inference(resolution,[status(thm)],[p263,c69]) ).
cnf(p4070,plain,
( ~ spl37
| cC48(iV8473)
| cC50(iV8473) ),
inference(resolution,[status(thm)],[p1094,p1093]) ).
cnf(ssp258,plain,
( spl222
| spl221
| ~ spl37 ),
inference(avatar_split_clause,[status(thm)],[p4070,sdef221,sdef222]) ).
cnf(p252,plain,
( ~ spl38
| cC14(iV8468) ),
inference(avatar_component_clause,[status(thm)],[sdef38]) ).
cnf(p265,plain,
( ~ spl38
| rR1(iV8468,sk1(iV8468)) ),
inference(resolution,[status(thm)],[p252,c10]) ).
cnf(p1115,plain,
( ~ spl38
| cC2(sk1(iV8468))
| cC48(iV8468) ),
inference(resolution,[status(thm)],[p265,c66]) ).
cnf(p1108,plain,
( ~ spl38
| ~ cC2(sk1(iV8468))
| cC32(iV8468) ),
inference(resolution,[status(thm)],[p265,c39]) ).
cnf(p4150,plain,
( ~ spl38
| cC32(iV8468)
| cC48(iV8468) ),
inference(resolution,[status(thm)],[p1115,p1108]) ).
cnf(ssp259,plain,
( spl224
| spl105
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p4150,sdef105,sdef224]) ).
cnf(p1110,plain,
( ~ spl38
| ~ cC2(sk1(iV8468))
| cC36(iV8468) ),
inference(resolution,[status(thm)],[p265,c45]) ).
cnf(p4151,plain,
( ~ spl38
| cC36(iV8468)
| cC48(iV8468) ),
inference(resolution,[status(thm)],[p1115,p1110]) ).
cnf(ssp260,plain,
( spl224
| spl118
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p4151,sdef118,sdef224]) ).
cnf(p1116,plain,
( ~ spl38
| ~ cC2(sk1(iV8468))
| cC50(iV8468) ),
inference(resolution,[status(thm)],[p265,c69]) ).
cnf(p4155,plain,
( ~ spl38
| cC48(iV8468)
| cC50(iV8468) ),
inference(resolution,[status(thm)],[p1116,p1115]) ).
cnf(ssp261,plain,
( spl224
| spl223
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p4155,sdef223,sdef224]) ).
cnf(p256,plain,
( ~ spl40
| cC14(iV8475) ),
inference(avatar_component_clause,[status(thm)],[sdef40]) ).
cnf(p269,plain,
( ~ spl40
| rR1(iV8475,sk1(iV8475)) ),
inference(resolution,[status(thm)],[p256,c10]) ).
cnf(p1159,plain,
( ~ spl40
| cC2(sk1(iV8475))
| cC48(iV8475) ),
inference(resolution,[status(thm)],[p269,c66]) ).
cnf(p1152,plain,
( ~ spl40
| ~ cC2(sk1(iV8475))
| cC32(iV8475) ),
inference(resolution,[status(thm)],[p269,c39]) ).
cnf(p4339,plain,
( ~ spl40
| cC32(iV8475)
| cC48(iV8475) ),
inference(resolution,[status(thm)],[p1159,p1152]) ).
cnf(ssp262,plain,
( spl228
| spl107
| ~ spl40 ),
inference(avatar_split_clause,[status(thm)],[p4339,sdef107,sdef228]) ).
cnf(p1154,plain,
( ~ spl40
| ~ cC2(sk1(iV8475))
| cC36(iV8475) ),
inference(resolution,[status(thm)],[p269,c45]) ).
cnf(p4340,plain,
( ~ spl40
| cC36(iV8475)
| cC48(iV8475) ),
inference(resolution,[status(thm)],[p1159,p1154]) ).
cnf(ssp263,plain,
( spl228
| spl120
| ~ spl40 ),
inference(avatar_split_clause,[status(thm)],[p4340,sdef120,sdef228]) ).
cnf(p1160,plain,
( ~ spl40
| ~ cC2(sk1(iV8475))
| cC50(iV8475) ),
inference(resolution,[status(thm)],[p269,c69]) ).
cnf(p4344,plain,
( ~ spl40
| cC48(iV8475)
| cC50(iV8475) ),
inference(resolution,[status(thm)],[p1160,p1159]) ).
cnf(ssp264,plain,
( spl228
| spl227
| ~ spl40 ),
inference(avatar_split_clause,[status(thm)],[p4344,sdef227,sdef228]) ).
cnf(p258,plain,
( ~ spl41
| cC14(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef41]) ).
cnf(p271,plain,
( ~ spl41
| rR1(iV8472,sk1(iV8472)) ),
inference(resolution,[status(thm)],[p258,c10]) ).
cnf(p1174,plain,
( ~ spl41
| ~ cC2(sk1(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p271,c39]) ).
cnf(p1170,plain,
( ~ spl41
| cC2(sk1(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p271,c21]) ).
cnf(p4402,plain,
( ~ spl41
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1174,p1170]) ).
cnf(ssp265,plain,
( spl99
| spl78
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4402,sdef78,sdef99]) ).
cnf(p1176,plain,
( ~ spl41
| ~ cC2(sk1(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p271,c45]) ).
cnf(p4408,plain,
( ~ spl41
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1176,p1170]) ).
cnf(ssp266,plain,
( spl114
| spl78
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4408,sdef78,sdef114]) ).
cnf(p1181,plain,
( ~ spl41
| cC2(sk1(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p271,c66]) ).
cnf(p4420,plain,
( ~ spl41
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1181,p1174]) ).
cnf(ssp267,plain,
( spl229
| spl99
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4420,sdef99,sdef229]) ).
cnf(p4421,plain,
( ~ spl41
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1181,p1176]) ).
cnf(ssp268,plain,
( spl229
| spl114
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4421,sdef114,sdef229]) ).
cnf(p1182,plain,
( ~ spl41
| ~ cC2(sk1(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p271,c69]) ).
cnf(p4422,plain,
( ~ spl41
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1182,p1170]) ).
cnf(ssp269,plain,
( spl176
| spl78
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4422,sdef78,sdef176]) ).
cnf(p4425,plain,
( ~ spl41
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1182,p1181]) ).
cnf(ssp270,plain,
( spl229
| spl176
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4425,sdef176,sdef229]) ).
cnf(p1184,plain,
( ~ spl41
| ~ cC2(sk1(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p271,c81]) ).
cnf(p4431,plain,
( ~ spl41
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1184,p1170]) ).
cnf(ssp271,plain,
( spl239
| spl78
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4431,sdef78,sdef239]) ).
cnf(p4434,plain,
( ~ spl41
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1184,p1181]) ).
cnf(ssp272,plain,
( spl239
| spl229
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p4434,sdef229,sdef239]) ).
cnf(p291,plain,
( ~ spl48
| cC14(iV8470) ),
inference(avatar_component_clause,[status(thm)],[sdef48]) ).
cnf(p293,plain,
( ~ spl48
| rR1(iV8470,sk1(iV8470)) ),
inference(resolution,[status(thm)],[p291,c10]) ).
cnf(p1225,plain,
( ~ spl48
| cC2(sk1(iV8470))
| cC48(iV8470) ),
inference(resolution,[status(thm)],[p293,c66]) ).
cnf(p1218,plain,
( ~ spl48
| ~ cC2(sk1(iV8470))
| cC32(iV8470) ),
inference(resolution,[status(thm)],[p293,c39]) ).
cnf(p4510,plain,
( ~ spl48
| cC32(iV8470)
| cC48(iV8470) ),
inference(resolution,[status(thm)],[p1225,p1218]) ).
cnf(ssp273,plain,
( spl233
| spl109
| ~ spl48 ),
inference(avatar_split_clause,[status(thm)],[p4510,sdef109,sdef233]) ).
cnf(p1220,plain,
( ~ spl48
| ~ cC2(sk1(iV8470))
| cC36(iV8470) ),
inference(resolution,[status(thm)],[p293,c45]) ).
cnf(p4511,plain,
( ~ spl48
| cC36(iV8470)
| cC48(iV8470) ),
inference(resolution,[status(thm)],[p1225,p1220]) ).
cnf(ssp274,plain,
( spl233
| spl122
| ~ spl48 ),
inference(avatar_split_clause,[status(thm)],[p4511,sdef122,sdef233]) ).
cnf(p1226,plain,
( ~ spl48
| ~ cC2(sk1(iV8470))
| cC50(iV8470) ),
inference(resolution,[status(thm)],[p293,c69]) ).
cnf(p4515,plain,
( ~ spl48
| cC48(iV8470)
| cC50(iV8470) ),
inference(resolution,[status(thm)],[p1226,p1225]) ).
cnf(ssp275,plain,
( spl233
| spl232
| ~ spl48 ),
inference(avatar_split_clause,[status(thm)],[p4515,sdef232,sdef233]) ).
cnf(p303,plain,
( ~ spl49
| rR1(iV8472,sk0(iV8472)) ),
inference(resolution,[status(thm)],[p296,c7]) ).
cnf(p1240,plain,
( ~ spl49
| ~ cC2(sk0(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p303,c39]) ).
cnf(p1236,plain,
( ~ spl49
| cC2(sk0(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p303,c21]) ).
cnf(p4573,plain,
( ~ spl49
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1240,p1236]) ).
cnf(ssp276,plain,
( spl99
| spl78
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4573,sdef78,sdef99]) ).
cnf(p1242,plain,
( ~ spl49
| ~ cC2(sk0(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p303,c45]) ).
cnf(p4579,plain,
( ~ spl49
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1242,p1236]) ).
cnf(ssp277,plain,
( spl114
| spl78
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4579,sdef78,sdef114]) ).
cnf(p1247,plain,
( ~ spl49
| cC2(sk0(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p303,c66]) ).
cnf(p4591,plain,
( ~ spl49
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1247,p1240]) ).
cnf(ssp278,plain,
( spl229
| spl99
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4591,sdef99,sdef229]) ).
cnf(p4592,plain,
( ~ spl49
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1247,p1242]) ).
cnf(ssp279,plain,
( spl229
| spl114
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4592,sdef114,sdef229]) ).
cnf(p1248,plain,
( ~ spl49
| ~ cC2(sk0(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p303,c69]) ).
cnf(p4593,plain,
( ~ spl49
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1248,p1236]) ).
cnf(ssp280,plain,
( spl176
| spl78
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4593,sdef78,sdef176]) ).
cnf(p4596,plain,
( ~ spl49
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1248,p1247]) ).
cnf(ssp281,plain,
( spl229
| spl176
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4596,sdef176,sdef229]) ).
cnf(p1250,plain,
( ~ spl49
| ~ cC2(sk0(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p303,c81]) ).
cnf(p4602,plain,
( ~ spl49
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1250,p1236]) ).
cnf(ssp282,plain,
( spl239
| spl78
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4602,sdef78,sdef239]) ).
cnf(p4605,plain,
( ~ spl49
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1250,p1247]) ).
cnf(ssp283,plain,
( spl239
| spl229
| ~ spl49 ),
inference(avatar_split_clause,[status(thm)],[p4605,sdef229,sdef239]) ).
cnf(p307,plain,
( ~ spl52
| rR1(iV8472,sk2(iV8472)) ),
inference(resolution,[status(thm)],[p301,c13]) ).
cnf(p1262,plain,
( ~ spl52
| ~ cC2(sk2(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p307,c39]) ).
cnf(p1258,plain,
( ~ spl52
| cC2(sk2(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p307,c21]) ).
cnf(p4624,plain,
( ~ spl52
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1262,p1258]) ).
cnf(ssp284,plain,
( spl99
| spl78
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4624,sdef78,sdef99]) ).
cnf(p1264,plain,
( ~ spl52
| ~ cC2(sk2(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p307,c45]) ).
cnf(p4630,plain,
( ~ spl52
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1264,p1258]) ).
cnf(ssp285,plain,
( spl114
| spl78
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4630,sdef78,sdef114]) ).
cnf(p1269,plain,
( ~ spl52
| cC2(sk2(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p307,c66]) ).
cnf(p4642,plain,
( ~ spl52
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1269,p1262]) ).
cnf(ssp286,plain,
( spl229
| spl99
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4642,sdef99,sdef229]) ).
cnf(p4643,plain,
( ~ spl52
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1269,p1264]) ).
cnf(ssp287,plain,
( spl229
| spl114
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4643,sdef114,sdef229]) ).
cnf(p1270,plain,
( ~ spl52
| ~ cC2(sk2(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p307,c69]) ).
cnf(p4644,plain,
( ~ spl52
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1270,p1258]) ).
cnf(ssp288,plain,
( spl176
| spl78
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4644,sdef78,sdef176]) ).
cnf(p4647,plain,
( ~ spl52
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1270,p1269]) ).
cnf(ssp289,plain,
( spl229
| spl176
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4647,sdef176,sdef229]) ).
cnf(p1272,plain,
( ~ spl52
| ~ cC2(sk2(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p307,c81]) ).
cnf(p4653,plain,
( ~ spl52
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1272,p1258]) ).
cnf(ssp290,plain,
( spl239
| spl78
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4653,sdef78,sdef239]) ).
cnf(p4656,plain,
( ~ spl52
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1272,p1269]) ).
cnf(ssp291,plain,
( spl239
| spl229
| ~ spl52 ),
inference(avatar_split_clause,[status(thm)],[p4656,sdef229,sdef239]) ).
cnf(p302,plain,
( ~ spl53
| cC14(iV8476) ),
inference(avatar_component_clause,[status(thm)],[sdef53]) ).
cnf(p326,plain,
( ~ spl53
| rR1(iV8476,sk1(iV8476)) ),
inference(resolution,[status(thm)],[p302,c10]) ).
cnf(p1291,plain,
( ~ spl53
| cC2(sk1(iV8476))
| cC48(iV8476) ),
inference(resolution,[status(thm)],[p326,c66]) ).
cnf(p1284,plain,
( ~ spl53
| ~ cC2(sk1(iV8476))
| cC32(iV8476) ),
inference(resolution,[status(thm)],[p326,c39]) ).
cnf(p4699,plain,
( ~ spl53
| cC32(iV8476)
| cC48(iV8476) ),
inference(resolution,[status(thm)],[p1291,p1284]) ).
cnf(ssp292,plain,
( spl235
| spl111
| ~ spl53 ),
inference(avatar_split_clause,[status(thm)],[p4699,sdef111,sdef235]) ).
cnf(p1286,plain,
( ~ spl53
| ~ cC2(sk1(iV8476))
| cC36(iV8476) ),
inference(resolution,[status(thm)],[p326,c45]) ).
cnf(p4700,plain,
( ~ spl53
| cC36(iV8476)
| cC48(iV8476) ),
inference(resolution,[status(thm)],[p1291,p1286]) ).
cnf(ssp293,plain,
( spl235
| spl124
| ~ spl53 ),
inference(avatar_split_clause,[status(thm)],[p4700,sdef124,sdef235]) ).
cnf(p1292,plain,
( ~ spl53
| ~ cC2(sk1(iV8476))
| cC50(iV8476) ),
inference(resolution,[status(thm)],[p326,c69]) ).
cnf(p4704,plain,
( ~ spl53
| cC48(iV8476)
| cC50(iV8476) ),
inference(resolution,[status(thm)],[p1292,p1291]) ).
cnf(ssp294,plain,
( spl235
| spl234
| ~ spl53 ),
inference(avatar_split_clause,[status(thm)],[p4704,sdef234,sdef235]) ).
cnf(c19,plain,
( rR1(X0,sk3(X0))
| ~ cC20(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p331,plain,
( ~ spl55
| rR1(iV8467,sk3(iV8467)) ),
inference(resolution,[status(thm)],[p310,c19]) ).
cnf(p1308,plain,
( ~ spl55
| cC2(sk3(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p331,c51]) ).
cnf(c20,plain,
( ~ cC2(sk3(X0))
| ~ cC20(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p332,plain,
( ~ spl55
| ~ cC2(sk3(iV8467)) ),
inference(resolution,[status(thm)],[p310,c20]) ).
cnf(p4783,plain,
( ~ spl55
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1308,p332]) ).
cnf(p4784,plain,
( ~ spl55
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(resolution,[status(thm)],[p4783,c6]) ).
cnf(ssp295,plain,
( spl127
| spl9
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p4784,sdef9,sdef127]) ).
cnf(p340,plain,
( ~ spl64
| cC22(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef64]) ).
cnf(p348,plain,
( ~ spl64
| rR1(iV8467,sk4(iV8467)) ),
inference(resolution,[status(thm)],[p340,c22]) ).
cnf(p1325,plain,
( ~ spl64
| cC2(sk4(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p348,c51]) ).
cnf(p349,plain,
( ~ spl64
| ~ cC2(sk4(iV8467)) ),
inference(resolution,[status(thm)],[p340,c23]) ).
cnf(p4889,plain,
( ~ spl64
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1325,p349]) ).
cnf(p4890,plain,
( ~ spl64
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(resolution,[status(thm)],[p4889,c6]) ).
cnf(ssp296,plain,
( spl127
| spl9
| ~ spl64 ),
inference(avatar_split_clause,[status(thm)],[p4890,sdef9,sdef127]) ).
cnf(c25,plain,
( rR1(X0,sk5(X0))
| ~ cC24(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p372,plain,
( ~ spl65
| rR1(iV8467,sk5(iV8467)) ),
inference(resolution,[status(thm)],[p353,c25]) ).
cnf(p1340,plain,
( ~ spl65
| ~ cC2(sk5(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p372,c39]) ).
cnf(p1337,plain,
( ~ spl65
| cC2(sk5(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p372,c21]) ).
cnf(p4965,plain,
( ~ spl65
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1340,p1337]) ).
cnf(ssp297,plain,
( spl95
| spl55
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4965,sdef55,sdef95]) ).
cnf(p1338,plain,
( ~ spl65
| cC2(sk5(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p372,c24]) ).
cnf(p4966,plain,
( ~ spl65
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1340,p1338]) ).
cnf(ssp298,plain,
( spl95
| spl64
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4966,sdef64,sdef95]) ).
cnf(p1342,plain,
( ~ spl65
| ~ cC2(sk5(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p372,c45]) ).
cnf(p4969,plain,
( ~ spl65
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1342,p1337]) ).
cnf(ssp299,plain,
( spl113
| spl55
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4969,sdef55,sdef113]) ).
cnf(p4970,plain,
( ~ spl65
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1342,p1338]) ).
cnf(ssp300,plain,
( spl113
| spl64
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4970,sdef64,sdef113]) ).
cnf(p1344,plain,
( ~ spl65
| cC2(sk5(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p372,c51]) ).
cnf(p4973,plain,
( ~ spl65
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1344,p1340]) ).
cnf(ssp301,plain,
( spl126
| spl95
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4973,sdef95,sdef126]) ).
cnf(p4974,plain,
( ~ spl65
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1344,p1342]) ).
cnf(ssp302,plain,
( spl126
| spl113
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4974,sdef113,sdef126]) ).
cnf(p1347,plain,
( ~ spl65
| cC2(sk5(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p372,c66]) ).
cnf(p4975,plain,
( ~ spl65
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1347,p1340]) ).
cnf(ssp303,plain,
( spl164
| spl95
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4975,sdef95,sdef164]) ).
cnf(p4976,plain,
( ~ spl65
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1347,p1342]) ).
cnf(ssp304,plain,
( spl164
| spl113
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4976,sdef113,sdef164]) ).
cnf(p1348,plain,
( ~ spl65
| ~ cC2(sk5(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p372,c69]) ).
cnf(p4977,plain,
( ~ spl65
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1348,p1337]) ).
cnf(ssp305,plain,
( spl175
| spl55
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4977,sdef55,sdef175]) ).
cnf(p4978,plain,
( ~ spl65
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1348,p1338]) ).
cnf(ssp306,plain,
( spl175
| spl64
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4978,sdef64,sdef175]) ).
cnf(p4979,plain,
( ~ spl65
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1348,p1344]) ).
cnf(ssp307,plain,
( spl175
| spl126
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4979,sdef126,sdef175]) ).
cnf(p1350,plain,
( ~ spl65
| ~ cC2(sk5(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p372,c81]) ).
cnf(p4981,plain,
( ~ spl65
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1350,p1337]) ).
cnf(ssp308,plain,
( spl238
| spl55
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4981,sdef55,sdef238]) ).
cnf(p4982,plain,
( ~ spl65
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1350,p1338]) ).
cnf(ssp309,plain,
( spl238
| spl64
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4982,sdef64,sdef238]) ).
cnf(p4983,plain,
( ~ spl65
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1350,p1344]) ).
cnf(ssp310,plain,
( spl238
| spl126
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4983,sdef126,sdef238]) ).
cnf(p4984,plain,
( ~ spl65
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1350,p1347]) ).
cnf(ssp311,plain,
( spl238
| spl164
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4984,sdef164,sdef238]) ).
cnf(p1351,plain,
( ~ spl65
| cC2(sk5(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p372,c84]) ).
cnf(p4985,plain,
( ~ spl65
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1351,p1340]) ).
cnf(ssp312,plain,
( spl240
| spl95
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4985,sdef95,sdef240]) ).
cnf(p4986,plain,
( ~ spl65
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1351,p1342]) ).
cnf(ssp313,plain,
( spl240
| spl113
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4986,sdef113,sdef240]) ).
cnf(p4987,plain,
( ~ spl65
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1351,p1348]) ).
cnf(ssp314,plain,
( spl240
| spl175
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4987,sdef175,sdef240]) ).
cnf(p4988,plain,
( ~ spl65
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1351,p1350]) ).
cnf(ssp315,plain,
( spl240
| spl238
| ~ spl65 ),
inference(avatar_split_clause,[status(thm)],[p4988,sdef238,sdef240]) ).
cnf(p374,plain,
( ~ spl74
| rR1(iV8472,sk5(iV8472)) ),
inference(resolution,[status(thm)],[p370,c25]) ).
cnf(p1362,plain,
( ~ spl74
| ~ cC2(sk5(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p374,c39]) ).
cnf(p1359,plain,
( ~ spl74
| cC2(sk5(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p374,c21]) ).
cnf(p5011,plain,
( ~ spl74
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1362,p1359]) ).
cnf(ssp316,plain,
( spl99
| spl78
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5011,sdef78,sdef99]) ).
cnf(p1364,plain,
( ~ spl74
| ~ cC2(sk5(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p374,c45]) ).
cnf(p5017,plain,
( ~ spl74
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1364,p1359]) ).
cnf(ssp317,plain,
( spl114
| spl78
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5017,sdef78,sdef114]) ).
cnf(p1369,plain,
( ~ spl74
| cC2(sk5(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p374,c66]) ).
cnf(p5029,plain,
( ~ spl74
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1369,p1362]) ).
cnf(ssp318,plain,
( spl229
| spl99
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5029,sdef99,sdef229]) ).
cnf(p5030,plain,
( ~ spl74
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1369,p1364]) ).
cnf(ssp319,plain,
( spl229
| spl114
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5030,sdef114,sdef229]) ).
cnf(p1370,plain,
( ~ spl74
| ~ cC2(sk5(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p374,c69]) ).
cnf(p5031,plain,
( ~ spl74
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1370,p1359]) ).
cnf(ssp320,plain,
( spl176
| spl78
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5031,sdef78,sdef176]) ).
cnf(p5034,plain,
( ~ spl74
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1370,p1369]) ).
cnf(ssp321,plain,
( spl229
| spl176
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5034,sdef176,sdef229]) ).
cnf(p1372,plain,
( ~ spl74
| ~ cC2(sk5(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p374,c81]) ).
cnf(p5040,plain,
( ~ spl74
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1372,p1359]) ).
cnf(ssp322,plain,
( spl239
| spl78
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5040,sdef78,sdef239]) ).
cnf(p5043,plain,
( ~ spl74
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1372,p1369]) ).
cnf(ssp323,plain,
( spl239
| spl229
| ~ spl74 ),
inference(avatar_split_clause,[status(thm)],[p5043,sdef229,sdef239]) ).
cnf(c29,plain,
( cC24(X0)
| ~ cC26(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p385,plain,
( ~ spl77
| cC24(iV8472) ),
inference(resolution,[status(thm)],[p381,c29]) ).
cnf(p389,plain,
( ~ spl77
| rR1(iV8472,sk5(iV8472)) ),
inference(resolution,[status(thm)],[p385,c25]) ).
cnf(p1384,plain,
( ~ spl77
| ~ cC2(sk5(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p389,c39]) ).
cnf(p1381,plain,
( ~ spl77
| cC2(sk5(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p389,c21]) ).
cnf(p5064,plain,
( ~ spl77
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1384,p1381]) ).
cnf(ssp324,plain,
( spl99
| spl78
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5064,sdef78,sdef99]) ).
cnf(p1386,plain,
( ~ spl77
| ~ cC2(sk5(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p389,c45]) ).
cnf(p5070,plain,
( ~ spl77
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1386,p1381]) ).
cnf(ssp325,plain,
( spl114
| spl78
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5070,sdef78,sdef114]) ).
cnf(p1391,plain,
( ~ spl77
| cC2(sk5(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p389,c66]) ).
cnf(p5082,plain,
( ~ spl77
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1391,p1384]) ).
cnf(ssp326,plain,
( spl229
| spl99
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5082,sdef99,sdef229]) ).
cnf(p5083,plain,
( ~ spl77
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1391,p1386]) ).
cnf(ssp327,plain,
( spl229
| spl114
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5083,sdef114,sdef229]) ).
cnf(p1392,plain,
( ~ spl77
| ~ cC2(sk5(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p389,c69]) ).
cnf(p5084,plain,
( ~ spl77
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1392,p1381]) ).
cnf(ssp328,plain,
( spl176
| spl78
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5084,sdef78,sdef176]) ).
cnf(p5087,plain,
( ~ spl77
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1392,p1391]) ).
cnf(ssp329,plain,
( spl229
| spl176
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5087,sdef176,sdef229]) ).
cnf(p1394,plain,
( ~ spl77
| ~ cC2(sk5(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p389,c81]) ).
cnf(p5093,plain,
( ~ spl77
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1394,p1381]) ).
cnf(ssp330,plain,
( spl239
| spl78
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5093,sdef78,sdef239]) ).
cnf(p5096,plain,
( ~ spl77
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1394,p1391]) ).
cnf(ssp331,plain,
( spl239
| spl229
| ~ spl77 ),
inference(avatar_split_clause,[status(thm)],[p5096,sdef229,sdef239]) ).
cnf(p394,plain,
( ~ spl79
| cC28(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(c31,plain,
( rR1(X0,sk6(X0))
| ~ cC28(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p413,plain,
( ~ spl79
| rR1(iV8467,sk6(iV8467)) ),
inference(resolution,[status(thm)],[p394,c31]) ).
cnf(p1433,plain,
( ~ spl79
| ~ cC2(sk6(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p413,c39]) ).
cnf(p1430,plain,
( ~ spl79
| cC2(sk6(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p413,c21]) ).
cnf(p5117,plain,
( ~ spl79
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1433,p1430]) ).
cnf(ssp332,plain,
( spl95
| spl55
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5117,sdef55,sdef95]) ).
cnf(p1431,plain,
( ~ spl79
| cC2(sk6(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p413,c24]) ).
cnf(p5118,plain,
( ~ spl79
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1433,p1431]) ).
cnf(ssp333,plain,
( spl95
| spl64
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5118,sdef64,sdef95]) ).
cnf(p1435,plain,
( ~ spl79
| ~ cC2(sk6(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p413,c45]) ).
cnf(p5121,plain,
( ~ spl79
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1435,p1430]) ).
cnf(ssp334,plain,
( spl113
| spl55
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5121,sdef55,sdef113]) ).
cnf(p5122,plain,
( ~ spl79
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1435,p1431]) ).
cnf(ssp335,plain,
( spl113
| spl64
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5122,sdef64,sdef113]) ).
cnf(p1437,plain,
( ~ spl79
| cC2(sk6(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p413,c51]) ).
cnf(p5125,plain,
( ~ spl79
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1437,p1433]) ).
cnf(ssp336,plain,
( spl126
| spl95
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5125,sdef95,sdef126]) ).
cnf(p5126,plain,
( ~ spl79
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1437,p1435]) ).
cnf(ssp337,plain,
( spl126
| spl113
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5126,sdef113,sdef126]) ).
cnf(p1440,plain,
( ~ spl79
| cC2(sk6(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p413,c66]) ).
cnf(p5127,plain,
( ~ spl79
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1440,p1433]) ).
cnf(ssp338,plain,
( spl164
| spl95
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5127,sdef95,sdef164]) ).
cnf(p5128,plain,
( ~ spl79
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1440,p1435]) ).
cnf(ssp339,plain,
( spl164
| spl113
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5128,sdef113,sdef164]) ).
cnf(p1441,plain,
( ~ spl79
| ~ cC2(sk6(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p413,c69]) ).
cnf(p5129,plain,
( ~ spl79
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1441,p1430]) ).
cnf(ssp340,plain,
( spl175
| spl55
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5129,sdef55,sdef175]) ).
cnf(p5130,plain,
( ~ spl79
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1441,p1431]) ).
cnf(ssp341,plain,
( spl175
| spl64
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5130,sdef64,sdef175]) ).
cnf(p5131,plain,
( ~ spl79
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1441,p1437]) ).
cnf(ssp342,plain,
( spl175
| spl126
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5131,sdef126,sdef175]) ).
cnf(p1443,plain,
( ~ spl79
| ~ cC2(sk6(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p413,c81]) ).
cnf(p5133,plain,
( ~ spl79
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1443,p1430]) ).
cnf(ssp343,plain,
( spl238
| spl55
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5133,sdef55,sdef238]) ).
cnf(p5134,plain,
( ~ spl79
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1443,p1431]) ).
cnf(ssp344,plain,
( spl238
| spl64
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5134,sdef64,sdef238]) ).
cnf(p5135,plain,
( ~ spl79
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1443,p1437]) ).
cnf(ssp345,plain,
( spl238
| spl126
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5135,sdef126,sdef238]) ).
cnf(p5136,plain,
( ~ spl79
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1443,p1440]) ).
cnf(ssp346,plain,
( spl238
| spl164
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5136,sdef164,sdef238]) ).
cnf(p1444,plain,
( ~ spl79
| cC2(sk6(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p413,c84]) ).
cnf(p5137,plain,
( ~ spl79
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1444,p1433]) ).
cnf(ssp347,plain,
( spl240
| spl95
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5137,sdef95,sdef240]) ).
cnf(p5138,plain,
( ~ spl79
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1444,p1435]) ).
cnf(ssp348,plain,
( spl240
| spl113
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5138,sdef113,sdef240]) ).
cnf(p5139,plain,
( ~ spl79
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1444,p1441]) ).
cnf(ssp349,plain,
( spl240
| spl175
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5139,sdef175,sdef240]) ).
cnf(p5140,plain,
( ~ spl79
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1444,p1443]) ).
cnf(ssp350,plain,
( spl240
| spl238
| ~ spl79 ),
inference(avatar_split_clause,[status(thm)],[p5140,sdef238,sdef240]) ).
cnf(p411,plain,
( ~ spl88
| cC28(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p416,plain,
( ~ spl88
| rR1(iV8472,sk6(iV8472)) ),
inference(resolution,[status(thm)],[p411,c31]) ).
cnf(p1456,plain,
( ~ spl88
| ~ cC2(sk6(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p416,c39]) ).
cnf(p1453,plain,
( ~ spl88
| cC2(sk6(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p416,c21]) ).
cnf(p5163,plain,
( ~ spl88
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1456,p1453]) ).
cnf(ssp351,plain,
( spl99
| spl78
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5163,sdef78,sdef99]) ).
cnf(p1458,plain,
( ~ spl88
| ~ cC2(sk6(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p416,c45]) ).
cnf(p5169,plain,
( ~ spl88
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1458,p1453]) ).
cnf(ssp352,plain,
( spl114
| spl78
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5169,sdef78,sdef114]) ).
cnf(p1463,plain,
( ~ spl88
| cC2(sk6(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p416,c66]) ).
cnf(p5181,plain,
( ~ spl88
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1463,p1456]) ).
cnf(ssp353,plain,
( spl229
| spl99
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5181,sdef99,sdef229]) ).
cnf(p5182,plain,
( ~ spl88
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1463,p1458]) ).
cnf(ssp354,plain,
( spl229
| spl114
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5182,sdef114,sdef229]) ).
cnf(p1464,plain,
( ~ spl88
| ~ cC2(sk6(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p416,c69]) ).
cnf(p5183,plain,
( ~ spl88
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1464,p1453]) ).
cnf(ssp355,plain,
( spl176
| spl78
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5183,sdef78,sdef176]) ).
cnf(p5186,plain,
( ~ spl88
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1464,p1463]) ).
cnf(ssp356,plain,
( spl229
| spl176
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5186,sdef176,sdef229]) ).
cnf(p1466,plain,
( ~ spl88
| ~ cC2(sk6(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p416,c81]) ).
cnf(p5192,plain,
( ~ spl88
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1466,p1453]) ).
cnf(ssp357,plain,
( spl239
| spl78
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5192,sdef78,sdef239]) ).
cnf(p5195,plain,
( ~ spl88
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1466,p1463]) ).
cnf(ssp358,plain,
( spl239
| spl229
| ~ spl88 ),
inference(avatar_split_clause,[status(thm)],[p5195,sdef229,sdef239]) ).
cnf(p444,plain,
( ~ spl95
| cC32(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef95]) ).
cnf(p455,plain,
( ~ spl95
| rR1(iV8467,sk7(iV8467)) ),
inference(resolution,[status(thm)],[p444,c37]) ).
cnf(p1489,plain,
( ~ spl95
| ~ cC2(sk7(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p455,c81]) ).
cnf(p456,plain,
( ~ spl95
| cC2(sk7(iV8467)) ),
inference(resolution,[status(thm)],[p444,c38]) ).
cnf(p5318,plain,
( ~ spl95
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1489,p456]) ).
cnf(p5321,plain,
( ~ spl95
| cC2(iV8467)
| cC60(iV8467) ),
inference(resolution,[status(thm)],[p5318,c87]) ).
cnf(ssp359,plain,
( spl242
| spl241
| ~ spl95 ),
inference(avatar_split_clause,[status(thm)],[p5321,sdef241,sdef242]) ).
cnf(p451,plain,
( ~ spl99
| cC32(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef99]) ).
cnf(p460,plain,
( ~ spl99
| rR1(iV8472,sk7(iV8472)) ),
inference(resolution,[status(thm)],[p451,c37]) ).
cnf(p1507,plain,
( ~ spl99
| ~ cC2(sk7(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p460,c81]) ).
cnf(p461,plain,
( ~ spl99
| cC2(sk7(iV8472)) ),
inference(resolution,[status(thm)],[p451,c38]) ).
cnf(p5417,plain,
( ~ spl99
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1507,p461]) ).
cnf(p5420,plain,
( ~ spl99
| cC2(iV8472)
| cC60(iV8472) ),
inference(resolution,[status(thm)],[p5417,c87]) ).
cnf(ssp360,plain,
( spl243
| spl61
| ~ spl99 ),
inference(avatar_split_clause,[status(thm)],[p5420,sdef61,sdef243]) ).
cnf(c40,plain,
( rR1(X0,sk8(X0))
| ~ cC34(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p486,plain,
( ~ spl102
| rR1(iV8467,sk8(iV8467)) ),
inference(resolution,[status(thm)],[p465,c40]) ).
cnf(p1520,plain,
( ~ spl102
| ~ cC2(sk8(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p486,c39]) ).
cnf(p1516,plain,
( ~ spl102
| cC2(sk8(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p486,c21]) ).
cnf(p5442,plain,
( ~ spl102
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1520,p1516]) ).
cnf(ssp361,plain,
( spl95
| spl55
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5442,sdef55,sdef95]) ).
cnf(p1517,plain,
( ~ spl102
| cC2(sk8(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p486,c24]) ).
cnf(p5443,plain,
( ~ spl102
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1520,p1517]) ).
cnf(ssp362,plain,
( spl95
| spl64
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5443,sdef64,sdef95]) ).
cnf(p1521,plain,
( ~ spl102
| ~ cC2(sk8(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p486,c45]) ).
cnf(p5444,plain,
( ~ spl102
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1521,p1516]) ).
cnf(ssp363,plain,
( spl113
| spl55
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5444,sdef55,sdef113]) ).
cnf(p5445,plain,
( ~ spl102
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1521,p1517]) ).
cnf(ssp364,plain,
( spl113
| spl64
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5445,sdef64,sdef113]) ).
cnf(p1523,plain,
( ~ spl102
| cC2(sk8(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p486,c51]) ).
cnf(p5448,plain,
( ~ spl102
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1523,p1520]) ).
cnf(ssp365,plain,
( spl126
| spl95
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5448,sdef95,sdef126]) ).
cnf(p5449,plain,
( ~ spl102
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1523,p1521]) ).
cnf(ssp366,plain,
( spl126
| spl113
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5449,sdef113,sdef126]) ).
cnf(p1526,plain,
( ~ spl102
| cC2(sk8(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p486,c66]) ).
cnf(p5450,plain,
( ~ spl102
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1526,p1520]) ).
cnf(ssp367,plain,
( spl164
| spl95
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5450,sdef95,sdef164]) ).
cnf(p5451,plain,
( ~ spl102
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1526,p1521]) ).
cnf(ssp368,plain,
( spl164
| spl113
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5451,sdef113,sdef164]) ).
cnf(p1527,plain,
( ~ spl102
| ~ cC2(sk8(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p486,c69]) ).
cnf(p5452,plain,
( ~ spl102
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1527,p1516]) ).
cnf(ssp369,plain,
( spl175
| spl55
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5452,sdef55,sdef175]) ).
cnf(p5453,plain,
( ~ spl102
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1527,p1517]) ).
cnf(ssp370,plain,
( spl175
| spl64
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5453,sdef64,sdef175]) ).
cnf(p5454,plain,
( ~ spl102
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1527,p1523]) ).
cnf(ssp371,plain,
( spl175
| spl126
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5454,sdef126,sdef175]) ).
cnf(p1529,plain,
( ~ spl102
| ~ cC2(sk8(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p486,c81]) ).
cnf(p5456,plain,
( ~ spl102
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1529,p1516]) ).
cnf(ssp372,plain,
( spl238
| spl55
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5456,sdef55,sdef238]) ).
cnf(p5457,plain,
( ~ spl102
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1529,p1517]) ).
cnf(ssp373,plain,
( spl238
| spl64
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5457,sdef64,sdef238]) ).
cnf(p5458,plain,
( ~ spl102
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1529,p1523]) ).
cnf(ssp374,plain,
( spl238
| spl126
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5458,sdef126,sdef238]) ).
cnf(p5459,plain,
( ~ spl102
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1529,p1526]) ).
cnf(ssp375,plain,
( spl238
| spl164
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5459,sdef164,sdef238]) ).
cnf(p1530,plain,
( ~ spl102
| cC2(sk8(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p486,c84]) ).
cnf(p5460,plain,
( ~ spl102
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1530,p1520]) ).
cnf(ssp376,plain,
( spl240
| spl95
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5460,sdef95,sdef240]) ).
cnf(p5461,plain,
( ~ spl102
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1530,p1521]) ).
cnf(ssp377,plain,
( spl240
| spl113
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5461,sdef113,sdef240]) ).
cnf(p5462,plain,
( ~ spl102
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1530,p1527]) ).
cnf(ssp378,plain,
( spl240
| spl175
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5462,sdef175,sdef240]) ).
cnf(p5463,plain,
( ~ spl102
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1530,p1529]) ).
cnf(ssp379,plain,
( spl240
| spl238
| ~ spl102 ),
inference(avatar_split_clause,[status(thm)],[p5463,sdef238,sdef240]) ).
cnf(p501,plain,
( ~ spl110
| rR1(iV8472,sk8(iV8472)) ),
inference(resolution,[status(thm)],[p481,c40]) ).
cnf(p1651,plain,
( ~ spl110
| ~ cC2(sk8(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p501,c39]) ).
cnf(p1647,plain,
( ~ spl110
| cC2(sk8(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p501,c21]) ).
cnf(p6022,plain,
( ~ spl110
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1651,p1647]) ).
cnf(ssp380,plain,
( spl99
| spl78
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6022,sdef78,sdef99]) ).
cnf(p1652,plain,
( ~ spl110
| ~ cC2(sk8(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p501,c45]) ).
cnf(p6026,plain,
( ~ spl110
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1652,p1647]) ).
cnf(ssp381,plain,
( spl114
| spl78
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6026,sdef78,sdef114]) ).
cnf(p1657,plain,
( ~ spl110
| cC2(sk8(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p501,c66]) ).
cnf(p6038,plain,
( ~ spl110
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1657,p1651]) ).
cnf(ssp382,plain,
( spl229
| spl99
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6038,sdef99,sdef229]) ).
cnf(p6039,plain,
( ~ spl110
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1657,p1652]) ).
cnf(ssp383,plain,
( spl229
| spl114
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6039,sdef114,sdef229]) ).
cnf(p1658,plain,
( ~ spl110
| ~ cC2(sk8(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p501,c69]) ).
cnf(p6040,plain,
( ~ spl110
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1658,p1647]) ).
cnf(ssp384,plain,
( spl176
| spl78
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6040,sdef78,sdef176]) ).
cnf(p6043,plain,
( ~ spl110
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1658,p1657]) ).
cnf(ssp385,plain,
( spl229
| spl176
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6043,sdef176,sdef229]) ).
cnf(p1660,plain,
( ~ spl110
| ~ cC2(sk8(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p501,c81]) ).
cnf(p6049,plain,
( ~ spl110
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1660,p1647]) ).
cnf(ssp386,plain,
( spl239
| spl78
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6049,sdef78,sdef239]) ).
cnf(p6052,plain,
( ~ spl110
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1660,p1657]) ).
cnf(ssp387,plain,
( spl239
| spl229
| ~ spl110 ),
inference(avatar_split_clause,[status(thm)],[p6052,sdef229,sdef239]) ).
cnf(p508,plain,
( ~ spl113
| cC36(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
cnf(p514,plain,
( ~ spl113
| rR1(iV8467,sk9(iV8467)) ),
inference(resolution,[status(thm)],[p508,c43]) ).
cnf(p1697,plain,
( ~ spl113
| ~ cC2(sk9(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p514,c81]) ).
cnf(p515,plain,
( ~ spl113
| cC2(sk9(iV8467)) ),
inference(resolution,[status(thm)],[p508,c44]) ).
cnf(p6226,plain,
( ~ spl113
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1697,p515]) ).
cnf(p6229,plain,
( ~ spl113
| cC2(iV8467)
| cC60(iV8467) ),
inference(resolution,[status(thm)],[p6226,c87]) ).
cnf(ssp388,plain,
( spl242
| spl241
| ~ spl113 ),
inference(avatar_split_clause,[status(thm)],[p6229,sdef241,sdef242]) ).
cnf(p512,plain,
( ~ spl114
| cC36(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
cnf(p516,plain,
( ~ spl114
| rR1(iV8472,sk9(iV8472)) ),
inference(resolution,[status(thm)],[p512,c43]) ).
cnf(p1715,plain,
( ~ spl114
| ~ cC2(sk9(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p516,c81]) ).
cnf(p517,plain,
( ~ spl114
| cC2(sk9(iV8472)) ),
inference(resolution,[status(thm)],[p512,c44]) ).
cnf(p6325,plain,
( ~ spl114
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1715,p517]) ).
cnf(p6328,plain,
( ~ spl114
| cC2(iV8472)
| cC60(iV8472) ),
inference(resolution,[status(thm)],[p6325,c87]) ).
cnf(ssp389,plain,
( spl243
| spl61
| ~ spl114 ),
inference(avatar_split_clause,[status(thm)],[p6328,sdef61,sdef243]) ).
cnf(p519,plain,
( ~ spl115
| cC38(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p539,plain,
( ~ spl115
| rR1(iV8467,sk10(iV8467)) ),
inference(resolution,[status(thm)],[p519,c46]) ).
cnf(p1728,plain,
( ~ spl115
| ~ cC2(sk10(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p539,c39]) ).
cnf(p1724,plain,
( ~ spl115
| cC2(sk10(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p539,c21]) ).
cnf(p6350,plain,
( ~ spl115
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1728,p1724]) ).
cnf(ssp390,plain,
( spl95
| spl55
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6350,sdef55,sdef95]) ).
cnf(p1725,plain,
( ~ spl115
| cC2(sk10(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p539,c24]) ).
cnf(p6351,plain,
( ~ spl115
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p1728,p1725]) ).
cnf(ssp391,plain,
( spl95
| spl64
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6351,sdef64,sdef95]) ).
cnf(p1730,plain,
( ~ spl115
| ~ cC2(sk10(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p539,c45]) ).
cnf(p6354,plain,
( ~ spl115
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1730,p1724]) ).
cnf(ssp392,plain,
( spl113
| spl55
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6354,sdef55,sdef113]) ).
cnf(p6355,plain,
( ~ spl115
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p1730,p1725]) ).
cnf(ssp393,plain,
( spl113
| spl64
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6355,sdef64,sdef113]) ).
cnf(p1731,plain,
( ~ spl115
| cC2(sk10(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p539,c51]) ).
cnf(p6356,plain,
( ~ spl115
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1731,p1728]) ).
cnf(ssp394,plain,
( spl126
| spl95
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6356,sdef95,sdef126]) ).
cnf(p6357,plain,
( ~ spl115
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1731,p1730]) ).
cnf(ssp395,plain,
( spl126
| spl113
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6357,sdef113,sdef126]) ).
cnf(p1734,plain,
( ~ spl115
| cC2(sk10(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p539,c66]) ).
cnf(p6358,plain,
( ~ spl115
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1734,p1728]) ).
cnf(ssp396,plain,
( spl164
| spl95
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6358,sdef95,sdef164]) ).
cnf(p6359,plain,
( ~ spl115
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p1734,p1730]) ).
cnf(ssp397,plain,
( spl164
| spl113
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6359,sdef113,sdef164]) ).
cnf(p1735,plain,
( ~ spl115
| ~ cC2(sk10(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p539,c69]) ).
cnf(p6360,plain,
( ~ spl115
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1735,p1724]) ).
cnf(ssp398,plain,
( spl175
| spl55
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6360,sdef55,sdef175]) ).
cnf(p6361,plain,
( ~ spl115
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1735,p1725]) ).
cnf(ssp399,plain,
( spl175
| spl64
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6361,sdef64,sdef175]) ).
cnf(p6362,plain,
( ~ spl115
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p1735,p1731]) ).
cnf(ssp400,plain,
( spl175
| spl126
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6362,sdef126,sdef175]) ).
cnf(p1737,plain,
( ~ spl115
| ~ cC2(sk10(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p539,c81]) ).
cnf(p6364,plain,
( ~ spl115
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1737,p1724]) ).
cnf(ssp401,plain,
( spl238
| spl55
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6364,sdef55,sdef238]) ).
cnf(p6365,plain,
( ~ spl115
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1737,p1725]) ).
cnf(ssp402,plain,
( spl238
| spl64
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6365,sdef64,sdef238]) ).
cnf(p6366,plain,
( ~ spl115
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1737,p1731]) ).
cnf(ssp403,plain,
( spl238
| spl126
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6366,sdef126,sdef238]) ).
cnf(p6367,plain,
( ~ spl115
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p1737,p1734]) ).
cnf(ssp404,plain,
( spl238
| spl164
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6367,sdef164,sdef238]) ).
cnf(p1738,plain,
( ~ spl115
| cC2(sk10(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p539,c84]) ).
cnf(p6368,plain,
( ~ spl115
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1738,p1728]) ).
cnf(ssp405,plain,
( spl240
| spl95
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6368,sdef95,sdef240]) ).
cnf(p6369,plain,
( ~ spl115
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1738,p1730]) ).
cnf(ssp406,plain,
( spl240
| spl113
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6369,sdef113,sdef240]) ).
cnf(p6370,plain,
( ~ spl115
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1738,p1735]) ).
cnf(ssp407,plain,
( spl240
| spl175
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6370,sdef175,sdef240]) ).
cnf(p6371,plain,
( ~ spl115
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p1738,p1737]) ).
cnf(ssp408,plain,
( spl240
| spl238
| ~ spl115 ),
inference(avatar_split_clause,[status(thm)],[p6371,sdef238,sdef240]) ).
cnf(p559,plain,
( ~ spl123
| rR1(iV8472,sk10(iV8472)) ),
inference(resolution,[status(thm)],[p535,c46]) ).
cnf(p1912,plain,
( ~ spl123
| ~ cC2(sk10(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p559,c39]) ).
cnf(p1908,plain,
( ~ spl123
| cC2(sk10(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p559,c21]) ).
cnf(p7220,plain,
( ~ spl123
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p1912,p1908]) ).
cnf(ssp409,plain,
( spl99
| spl78
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7220,sdef78,sdef99]) ).
cnf(p1914,plain,
( ~ spl123
| ~ cC2(sk10(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p559,c45]) ).
cnf(p7226,plain,
( ~ spl123
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p1914,p1908]) ).
cnf(ssp410,plain,
( spl114
| spl78
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7226,sdef78,sdef114]) ).
cnf(p1918,plain,
( ~ spl123
| cC2(sk10(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p559,c66]) ).
cnf(p7236,plain,
( ~ spl123
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1918,p1912]) ).
cnf(ssp411,plain,
( spl229
| spl99
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7236,sdef99,sdef229]) ).
cnf(p7237,plain,
( ~ spl123
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p1918,p1914]) ).
cnf(ssp412,plain,
( spl229
| spl114
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7237,sdef114,sdef229]) ).
cnf(p1919,plain,
( ~ spl123
| ~ cC2(sk10(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p559,c69]) ).
cnf(p7238,plain,
( ~ spl123
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1919,p1908]) ).
cnf(ssp413,plain,
( spl176
| spl78
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7238,sdef78,sdef176]) ).
cnf(p7241,plain,
( ~ spl123
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p1919,p1918]) ).
cnf(ssp414,plain,
( spl229
| spl176
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7241,sdef176,sdef229]) ).
cnf(p1921,plain,
( ~ spl123
| ~ cC2(sk10(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p559,c81]) ).
cnf(p7247,plain,
( ~ spl123
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1921,p1908]) ).
cnf(ssp415,plain,
( spl239
| spl78
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7247,sdef78,sdef239]) ).
cnf(p7250,plain,
( ~ spl123
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p1921,p1918]) ).
cnf(ssp416,plain,
( spl239
| spl229
| ~ spl123 ),
inference(avatar_split_clause,[status(thm)],[p7250,sdef229,sdef239]) ).
cnf(c52,plain,
( rR1(X0,sk12(X0))
| ~ cC40(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p608,plain,
( ~ spl128
| rR1(iV8467,sk12(iV8467)) ),
inference(resolution,[status(thm)],[p587,c52]) ).
cnf(p2026,plain,
( ~ spl128
| ~ cC2(sk12(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p608,c39]) ).
cnf(p2022,plain,
( ~ spl128
| cC2(sk12(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p608,c21]) ).
cnf(p7535,plain,
( ~ spl128
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p2026,p2022]) ).
cnf(ssp417,plain,
( spl95
| spl55
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7535,sdef55,sdef95]) ).
cnf(p2023,plain,
( ~ spl128
| cC2(sk12(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p608,c24]) ).
cnf(p7536,plain,
( ~ spl128
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p2026,p2023]) ).
cnf(ssp418,plain,
( spl95
| spl64
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7536,sdef64,sdef95]) ).
cnf(p2028,plain,
( ~ spl128
| ~ cC2(sk12(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p608,c45]) ).
cnf(p7539,plain,
( ~ spl128
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p2028,p2022]) ).
cnf(ssp419,plain,
( spl113
| spl55
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7539,sdef55,sdef113]) ).
cnf(p7540,plain,
( ~ spl128
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p2028,p2023]) ).
cnf(ssp420,plain,
( spl113
| spl64
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7540,sdef64,sdef113]) ).
cnf(p2030,plain,
( ~ spl128
| cC2(sk12(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p608,c51]) ).
cnf(p7543,plain,
( ~ spl128
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2030,p2026]) ).
cnf(ssp421,plain,
( spl126
| spl95
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7543,sdef95,sdef126]) ).
cnf(p7544,plain,
( ~ spl128
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2030,p2028]) ).
cnf(ssp422,plain,
( spl126
| spl113
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7544,sdef113,sdef126]) ).
cnf(p2032,plain,
( ~ spl128
| cC2(sk12(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p608,c66]) ).
cnf(p7545,plain,
( ~ spl128
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p2032,p2026]) ).
cnf(ssp423,plain,
( spl164
| spl95
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7545,sdef95,sdef164]) ).
cnf(p7546,plain,
( ~ spl128
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p2032,p2028]) ).
cnf(ssp424,plain,
( spl164
| spl113
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7546,sdef113,sdef164]) ).
cnf(p2033,plain,
( ~ spl128
| ~ cC2(sk12(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p608,c69]) ).
cnf(p7547,plain,
( ~ spl128
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2033,p2022]) ).
cnf(ssp425,plain,
( spl175
| spl55
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7547,sdef55,sdef175]) ).
cnf(p7548,plain,
( ~ spl128
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2033,p2023]) ).
cnf(ssp426,plain,
( spl175
| spl64
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7548,sdef64,sdef175]) ).
cnf(p7549,plain,
( ~ spl128
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2033,p2030]) ).
cnf(ssp427,plain,
( spl175
| spl126
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7549,sdef126,sdef175]) ).
cnf(p2035,plain,
( ~ spl128
| ~ cC2(sk12(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p608,c81]) ).
cnf(p7551,plain,
( ~ spl128
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2035,p2022]) ).
cnf(ssp428,plain,
( spl238
| spl55
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7551,sdef55,sdef238]) ).
cnf(p7552,plain,
( ~ spl128
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2035,p2023]) ).
cnf(ssp429,plain,
( spl238
| spl64
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7552,sdef64,sdef238]) ).
cnf(p7553,plain,
( ~ spl128
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2035,p2030]) ).
cnf(ssp430,plain,
( spl238
| spl126
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7553,sdef126,sdef238]) ).
cnf(p7554,plain,
( ~ spl128
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2035,p2032]) ).
cnf(ssp431,plain,
( spl238
| spl164
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7554,sdef164,sdef238]) ).
cnf(p2036,plain,
( ~ spl128
| cC2(sk12(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p608,c84]) ).
cnf(p7555,plain,
( ~ spl128
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2036,p2026]) ).
cnf(ssp432,plain,
( spl240
| spl95
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7555,sdef95,sdef240]) ).
cnf(p7556,plain,
( ~ spl128
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2036,p2028]) ).
cnf(ssp433,plain,
( spl240
| spl113
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7556,sdef113,sdef240]) ).
cnf(p7557,plain,
( ~ spl128
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2036,p2033]) ).
cnf(ssp434,plain,
( spl240
| spl175
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7557,sdef175,sdef240]) ).
cnf(p7558,plain,
( ~ spl128
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2036,p2035]) ).
cnf(ssp435,plain,
( spl240
| spl238
| ~ spl128 ),
inference(avatar_split_clause,[status(thm)],[p7558,sdef238,sdef240]) ).
cnf(p611,plain,
( ~ spl137
| rR1(iV8472,sk12(iV8472)) ),
inference(resolution,[status(thm)],[p604,c52]) ).
cnf(p2051,plain,
( ~ spl137
| ~ cC2(sk12(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p611,c39]) ).
cnf(p2047,plain,
( ~ spl137
| cC2(sk12(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p611,c21]) ).
cnf(p7596,plain,
( ~ spl137
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p2051,p2047]) ).
cnf(ssp436,plain,
( spl99
| spl78
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7596,sdef78,sdef99]) ).
cnf(p2053,plain,
( ~ spl137
| ~ cC2(sk12(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p611,c45]) ).
cnf(p7602,plain,
( ~ spl137
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p2053,p2047]) ).
cnf(ssp437,plain,
( spl114
| spl78
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7602,sdef78,sdef114]) ).
cnf(p2057,plain,
( ~ spl137
| cC2(sk12(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p611,c66]) ).
cnf(p7614,plain,
( ~ spl137
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p2057,p2051]) ).
cnf(ssp438,plain,
( spl229
| spl99
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7614,sdef99,sdef229]) ).
cnf(p7615,plain,
( ~ spl137
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p2057,p2053]) ).
cnf(ssp439,plain,
( spl229
| spl114
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7615,sdef114,sdef229]) ).
cnf(p2058,plain,
( ~ spl137
| ~ cC2(sk12(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p611,c69]) ).
cnf(p7616,plain,
( ~ spl137
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p2058,p2047]) ).
cnf(ssp440,plain,
( spl176
| spl78
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7616,sdef78,sdef176]) ).
cnf(p7619,plain,
( ~ spl137
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p2058,p2057]) ).
cnf(ssp441,plain,
( spl229
| spl176
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7619,sdef176,sdef229]) ).
cnf(p2060,plain,
( ~ spl137
| ~ cC2(sk12(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p611,c81]) ).
cnf(p7625,plain,
( ~ spl137
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2060,p2047]) ).
cnf(ssp442,plain,
( spl239
| spl78
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7625,sdef78,sdef239]) ).
cnf(p7628,plain,
( ~ spl137
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2060,p2057]) ).
cnf(ssp443,plain,
( spl239
| spl229
| ~ spl137 ),
inference(avatar_split_clause,[status(thm)],[p7628,sdef229,sdef239]) ).
cnf(p649,plain,
( ~ spl151
| cC44(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef151]) ).
cnf(c58,plain,
( rR1(X0,sk13(X0))
| ~ cC44(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p672,plain,
( ~ spl151
| rR1(iV8467,sk13(iV8467)) ),
inference(resolution,[status(thm)],[p649,c58]) ).
cnf(p2076,plain,
( ~ spl151
| ~ cC2(sk13(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p672,c39]) ).
cnf(p2072,plain,
( ~ spl151
| cC2(sk13(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p672,c21]) ).
cnf(p7663,plain,
( ~ spl151
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p2076,p2072]) ).
cnf(ssp444,plain,
( spl95
| spl55
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7663,sdef55,sdef95]) ).
cnf(p2073,plain,
( ~ spl151
| cC2(sk13(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p672,c24]) ).
cnf(p7664,plain,
( ~ spl151
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p2076,p2073]) ).
cnf(ssp445,plain,
( spl95
| spl64
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7664,sdef64,sdef95]) ).
cnf(p2078,plain,
( ~ spl151
| ~ cC2(sk13(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p672,c45]) ).
cnf(p7667,plain,
( ~ spl151
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p2078,p2072]) ).
cnf(ssp446,plain,
( spl113
| spl55
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7667,sdef55,sdef113]) ).
cnf(p7668,plain,
( ~ spl151
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p2078,p2073]) ).
cnf(ssp447,plain,
( spl113
| spl64
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7668,sdef64,sdef113]) ).
cnf(p2080,plain,
( ~ spl151
| cC2(sk13(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p672,c51]) ).
cnf(p7671,plain,
( ~ spl151
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2080,p2076]) ).
cnf(ssp448,plain,
( spl126
| spl95
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7671,sdef95,sdef126]) ).
cnf(p7672,plain,
( ~ spl151
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2080,p2078]) ).
cnf(ssp449,plain,
( spl126
| spl113
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7672,sdef113,sdef126]) ).
cnf(p2082,plain,
( ~ spl151
| cC2(sk13(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p672,c66]) ).
cnf(p7673,plain,
( ~ spl151
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p2082,p2076]) ).
cnf(ssp450,plain,
( spl164
| spl95
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7673,sdef95,sdef164]) ).
cnf(p7674,plain,
( ~ spl151
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p2082,p2078]) ).
cnf(ssp451,plain,
( spl164
| spl113
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7674,sdef113,sdef164]) ).
cnf(p2083,plain,
( ~ spl151
| ~ cC2(sk13(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p672,c69]) ).
cnf(p7675,plain,
( ~ spl151
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2083,p2072]) ).
cnf(ssp452,plain,
( spl175
| spl55
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7675,sdef55,sdef175]) ).
cnf(p7676,plain,
( ~ spl151
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2083,p2073]) ).
cnf(ssp453,plain,
( spl175
| spl64
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7676,sdef64,sdef175]) ).
cnf(p7677,plain,
( ~ spl151
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2083,p2080]) ).
cnf(ssp454,plain,
( spl175
| spl126
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7677,sdef126,sdef175]) ).
cnf(p2085,plain,
( ~ spl151
| ~ cC2(sk13(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p672,c81]) ).
cnf(p7679,plain,
( ~ spl151
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2085,p2072]) ).
cnf(ssp455,plain,
( spl238
| spl55
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7679,sdef55,sdef238]) ).
cnf(p7680,plain,
( ~ spl151
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2085,p2073]) ).
cnf(ssp456,plain,
( spl238
| spl64
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7680,sdef64,sdef238]) ).
cnf(p7681,plain,
( ~ spl151
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2085,p2080]) ).
cnf(ssp457,plain,
( spl238
| spl126
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7681,sdef126,sdef238]) ).
cnf(p7682,plain,
( ~ spl151
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2085,p2082]) ).
cnf(ssp458,plain,
( spl238
| spl164
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7682,sdef164,sdef238]) ).
cnf(p2086,plain,
( ~ spl151
| cC2(sk13(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p672,c84]) ).
cnf(p7683,plain,
( ~ spl151
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2086,p2076]) ).
cnf(ssp459,plain,
( spl240
| spl95
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7683,sdef95,sdef240]) ).
cnf(p7684,plain,
( ~ spl151
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2086,p2078]) ).
cnf(ssp460,plain,
( spl240
| spl113
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7684,sdef113,sdef240]) ).
cnf(p7685,plain,
( ~ spl151
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2086,p2083]) ).
cnf(ssp461,plain,
( spl240
| spl175
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7685,sdef175,sdef240]) ).
cnf(p7686,plain,
( ~ spl151
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2086,p2085]) ).
cnf(ssp462,plain,
( spl240
| spl238
| ~ spl151 ),
inference(avatar_split_clause,[status(thm)],[p7686,sdef238,sdef240]) ).
cnf(p666,plain,
( ~ spl160
| cC44(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef160]) ).
cnf(p674,plain,
( ~ spl160
| rR1(iV8472,sk13(iV8472)) ),
inference(resolution,[status(thm)],[p666,c58]) ).
cnf(p2101,plain,
( ~ spl160
| ~ cC2(sk13(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p674,c39]) ).
cnf(p2097,plain,
( ~ spl160
| cC2(sk13(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p674,c21]) ).
cnf(p7724,plain,
( ~ spl160
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p2101,p2097]) ).
cnf(ssp463,plain,
( spl99
| spl78
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7724,sdef78,sdef99]) ).
cnf(p2103,plain,
( ~ spl160
| ~ cC2(sk13(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p674,c45]) ).
cnf(p7730,plain,
( ~ spl160
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p2103,p2097]) ).
cnf(ssp464,plain,
( spl114
| spl78
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7730,sdef78,sdef114]) ).
cnf(p2107,plain,
( ~ spl160
| cC2(sk13(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p674,c66]) ).
cnf(p7742,plain,
( ~ spl160
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p2107,p2101]) ).
cnf(ssp465,plain,
( spl229
| spl99
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7742,sdef99,sdef229]) ).
cnf(p7743,plain,
( ~ spl160
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p2107,p2103]) ).
cnf(ssp466,plain,
( spl229
| spl114
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7743,sdef114,sdef229]) ).
cnf(p2108,plain,
( ~ spl160
| ~ cC2(sk13(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p674,c69]) ).
cnf(p7744,plain,
( ~ spl160
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p2108,p2097]) ).
cnf(ssp467,plain,
( spl176
| spl78
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7744,sdef78,sdef176]) ).
cnf(p7747,plain,
( ~ spl160
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p2108,p2107]) ).
cnf(ssp468,plain,
( spl229
| spl176
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7747,sdef176,sdef229]) ).
cnf(p2110,plain,
( ~ spl160
| ~ cC2(sk13(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p674,c81]) ).
cnf(p7753,plain,
( ~ spl160
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2110,p2097]) ).
cnf(ssp469,plain,
( spl239
| spl78
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7753,sdef78,sdef239]) ).
cnf(p7756,plain,
( ~ spl160
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2110,p2107]) ).
cnf(ssp470,plain,
( spl239
| spl229
| ~ spl160 ),
inference(avatar_split_clause,[status(thm)],[p7756,sdef229,sdef239]) ).
cnf(p701,plain,
( ~ spl164
| rR1(iV8467,sk14(iV8467)) ),
inference(resolution,[status(thm)],[p690,c64]) ).
cnf(p2132,plain,
( ~ spl164
| cC2(sk14(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p701,c51]) ).
cnf(p702,plain,
( ~ spl164
| ~ cC2(sk14(iV8467)) ),
inference(resolution,[status(thm)],[p690,c65]) ).
cnf(p7906,plain,
( ~ spl164
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2132,p702]) ).
cnf(p7907,plain,
( ~ spl164
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(resolution,[status(thm)],[p7906,c6]) ).
cnf(ssp471,plain,
( spl127
| spl9
| ~ spl164 ),
inference(avatar_split_clause,[status(thm)],[p7907,sdef9,sdef127]) ).
cnf(p733,plain,
( ~ spl175
| cC50(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef175]) ).
cnf(p741,plain,
( ~ spl175
| rR1(iV8467,sk15(iV8467)) ),
inference(resolution,[status(thm)],[p733,c67]) ).
cnf(p2158,plain,
( ~ spl175
| ~ cC2(sk15(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p741,c81]) ).
cnf(p742,plain,
( ~ spl175
| cC2(sk15(iV8467)) ),
inference(resolution,[status(thm)],[p733,c68]) ).
cnf(p8031,plain,
( ~ spl175
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2158,p742]) ).
cnf(p8034,plain,
( ~ spl175
| cC2(iV8467)
| cC60(iV8467) ),
inference(resolution,[status(thm)],[p8031,c87]) ).
cnf(ssp472,plain,
( spl242
| spl241
| ~ spl175 ),
inference(avatar_split_clause,[status(thm)],[p8034,sdef241,sdef242]) ).
cnf(p737,plain,
( ~ spl176
| cC50(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef176]) ).
cnf(p743,plain,
( ~ spl176
| rR1(iV8472,sk15(iV8472)) ),
inference(resolution,[status(thm)],[p737,c67]) ).
cnf(p2177,plain,
( ~ spl176
| ~ cC2(sk15(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p743,c81]) ).
cnf(p744,plain,
( ~ spl176
| cC2(sk15(iV8472)) ),
inference(resolution,[status(thm)],[p737,c68]) ).
cnf(p8130,plain,
( ~ spl176
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2177,p744]) ).
cnf(p8133,plain,
( ~ spl176
| cC2(iV8472)
| cC60(iV8472) ),
inference(resolution,[status(thm)],[p8130,c87]) ).
cnf(ssp473,plain,
( spl243
| spl61
| ~ spl176 ),
inference(avatar_split_clause,[status(thm)],[p8133,sdef61,sdef243]) ).
cnf(p835,plain,
( ~ spl206
| cC54(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef206]) ).
cnf(c73,plain,
( rR1(X0,sk16(X0))
| ~ cC54(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p876,plain,
( ~ spl206
| rR1(iV8467,sk16(iV8467)) ),
inference(resolution,[status(thm)],[p835,c73]) ).
cnf(p2391,plain,
( ~ spl206
| ~ cC2(sk16(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p876,c39]) ).
cnf(p2387,plain,
( ~ spl206
| cC2(sk16(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p876,c21]) ).
cnf(p8733,plain,
( ~ spl206
| cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p2391,p2387]) ).
cnf(ssp474,plain,
( spl95
| spl55
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8733,sdef55,sdef95]) ).
cnf(p2388,plain,
( ~ spl206
| cC2(sk16(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p876,c24]) ).
cnf(p8734,plain,
( ~ spl206
| cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p2391,p2388]) ).
cnf(ssp475,plain,
( spl95
| spl64
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8734,sdef64,sdef95]) ).
cnf(p2393,plain,
( ~ spl206
| ~ cC2(sk16(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p876,c45]) ).
cnf(p8737,plain,
( ~ spl206
| cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p2393,p2387]) ).
cnf(ssp476,plain,
( spl113
| spl55
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8737,sdef55,sdef113]) ).
cnf(p8738,plain,
( ~ spl206
| cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p2393,p2388]) ).
cnf(ssp477,plain,
( spl113
| spl64
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8738,sdef64,sdef113]) ).
cnf(p2395,plain,
( ~ spl206
| cC2(sk16(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p876,c51]) ).
cnf(p8741,plain,
( ~ spl206
| cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2395,p2391]) ).
cnf(ssp478,plain,
( spl126
| spl95
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8741,sdef95,sdef126]) ).
cnf(p8742,plain,
( ~ spl206
| cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2395,p2393]) ).
cnf(ssp479,plain,
( spl126
| spl113
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8742,sdef113,sdef126]) ).
cnf(p2398,plain,
( ~ spl206
| cC2(sk16(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p876,c66]) ).
cnf(p8743,plain,
( ~ spl206
| cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p2398,p2391]) ).
cnf(ssp480,plain,
( spl164
| spl95
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8743,sdef95,sdef164]) ).
cnf(p8744,plain,
( ~ spl206
| cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p2398,p2393]) ).
cnf(ssp481,plain,
( spl164
| spl113
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8744,sdef113,sdef164]) ).
cnf(p2399,plain,
( ~ spl206
| ~ cC2(sk16(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p876,c69]) ).
cnf(p8745,plain,
( ~ spl206
| cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2399,p2387]) ).
cnf(ssp482,plain,
( spl175
| spl55
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8745,sdef55,sdef175]) ).
cnf(p8746,plain,
( ~ spl206
| cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2399,p2388]) ).
cnf(ssp483,plain,
( spl175
| spl64
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8746,sdef64,sdef175]) ).
cnf(p8747,plain,
( ~ spl206
| cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p2399,p2395]) ).
cnf(ssp484,plain,
( spl175
| spl126
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8747,sdef126,sdef175]) ).
cnf(p2400,plain,
( ~ spl206
| ~ cC2(sk16(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p876,c81]) ).
cnf(p8748,plain,
( ~ spl206
| cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2400,p2387]) ).
cnf(ssp485,plain,
( spl238
| spl55
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8748,sdef55,sdef238]) ).
cnf(p8749,plain,
( ~ spl206
| cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2400,p2388]) ).
cnf(ssp486,plain,
( spl238
| spl64
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8749,sdef64,sdef238]) ).
cnf(p8750,plain,
( ~ spl206
| cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2400,p2395]) ).
cnf(ssp487,plain,
( spl238
| spl126
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8750,sdef126,sdef238]) ).
cnf(p8751,plain,
( ~ spl206
| cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p2400,p2398]) ).
cnf(ssp488,plain,
( spl238
| spl164
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8751,sdef164,sdef238]) ).
cnf(p2401,plain,
( ~ spl206
| cC2(sk16(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p876,c84]) ).
cnf(p8752,plain,
( ~ spl206
| cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2401,p2391]) ).
cnf(ssp489,plain,
( spl240
| spl95
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8752,sdef95,sdef240]) ).
cnf(p8753,plain,
( ~ spl206
| cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2401,p2393]) ).
cnf(ssp490,plain,
( spl240
| spl113
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8753,sdef113,sdef240]) ).
cnf(p8754,plain,
( ~ spl206
| cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2401,p2399]) ).
cnf(ssp491,plain,
( spl240
| spl175
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8754,sdef175,sdef240]) ).
cnf(p8755,plain,
( ~ spl206
| cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p2401,p2400]) ).
cnf(ssp492,plain,
( spl240
| spl238
| ~ spl206 ),
inference(avatar_split_clause,[status(thm)],[p8755,sdef238,sdef240]) ).
cnf(p852,plain,
( ~ spl215
| cC54(iV8472) ),
inference(avatar_component_clause,[status(thm)],[sdef215]) ).
cnf(p899,plain,
( ~ spl215
| rR1(iV8472,sk16(iV8472)) ),
inference(resolution,[status(thm)],[p852,c73]) ).
cnf(p2417,plain,
( ~ spl215
| ~ cC2(sk16(iV8472))
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p899,c39]) ).
cnf(p2413,plain,
( ~ spl215
| cC2(sk16(iV8472))
| cC20(iV8472) ),
inference(resolution,[status(thm)],[p899,c21]) ).
cnf(p8794,plain,
( ~ spl215
| cC20(iV8472)
| cC32(iV8472) ),
inference(resolution,[status(thm)],[p2417,p2413]) ).
cnf(ssp493,plain,
( spl99
| spl78
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8794,sdef78,sdef99]) ).
cnf(p2419,plain,
( ~ spl215
| ~ cC2(sk16(iV8472))
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p899,c45]) ).
cnf(p8800,plain,
( ~ spl215
| cC20(iV8472)
| cC36(iV8472) ),
inference(resolution,[status(thm)],[p2419,p2413]) ).
cnf(ssp494,plain,
( spl114
| spl78
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8800,sdef78,sdef114]) ).
cnf(p2424,plain,
( ~ spl215
| cC2(sk16(iV8472))
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p899,c66]) ).
cnf(p8812,plain,
( ~ spl215
| cC32(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p2424,p2417]) ).
cnf(ssp495,plain,
( spl229
| spl99
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8812,sdef99,sdef229]) ).
cnf(p8813,plain,
( ~ spl215
| cC36(iV8472)
| cC48(iV8472) ),
inference(resolution,[status(thm)],[p2424,p2419]) ).
cnf(ssp496,plain,
( spl229
| spl114
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8813,sdef114,sdef229]) ).
cnf(p2425,plain,
( ~ spl215
| ~ cC2(sk16(iV8472))
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p899,c69]) ).
cnf(p8814,plain,
( ~ spl215
| cC20(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p2425,p2413]) ).
cnf(ssp497,plain,
( spl176
| spl78
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8814,sdef78,sdef176]) ).
cnf(p8817,plain,
( ~ spl215
| cC48(iV8472)
| cC50(iV8472) ),
inference(resolution,[status(thm)],[p2425,p2424]) ).
cnf(ssp498,plain,
( spl229
| spl176
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8817,sdef176,sdef229]) ).
cnf(p2426,plain,
( ~ spl215
| ~ cC2(sk16(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p899,c81]) ).
cnf(p8822,plain,
( ~ spl215
| cC20(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2426,p2413]) ).
cnf(ssp499,plain,
( spl239
| spl78
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8822,sdef78,sdef239]) ).
cnf(p8825,plain,
( ~ spl215
| cC48(iV8472)
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p2426,p2424]) ).
cnf(ssp500,plain,
( spl239
| spl229
| ~ spl215 ),
inference(avatar_split_clause,[status(thm)],[p8825,sdef229,sdef239]) ).
cnf(p948,plain,
( ~ spl240
| cC6(iV8467) ),
inference(avatar_component_clause,[status(thm)],[sdef240]) ).
cnf(c82,plain,
( rR1(X0,sk18(X0))
| ~ cC6(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p975,plain,
( ~ spl240
| rR1(iV8467,sk18(iV8467)) ),
inference(resolution,[status(thm)],[p948,c82]) ).
cnf(p2853,plain,
( ~ spl240
| cC2(sk18(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p975,c51]) ).
cnf(c83,plain,
( ~ cC2(sk18(X0))
| ~ cC6(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p976,plain,
( ~ spl240
| ~ cC2(sk18(iV8467)) ),
inference(resolution,[status(thm)],[p948,c83]) ).
cnf(p10998,plain,
( ~ spl240
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2853,p976]) ).
cnf(p10999,plain,
( ~ spl240
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(resolution,[status(thm)],[p10998,c6]) ).
cnf(ssp501,plain,
( spl127
| spl9
| ~ spl240 ),
inference(avatar_split_clause,[status(thm)],[p10999,sdef9,sdef127]) ).
cnf(p1022,plain,
( ~ spl244
| rR1(iV8467,sk19(iV8467)) ),
inference(resolution,[status(thm)],[p998,c88]) ).
cnf(p2895,plain,
( ~ spl244
| cC2(sk19(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p1022,c51]) ).
cnf(p1023,plain,
( ~ spl244
| cC60(sk19(iV8467)) ),
inference(resolution,[status(thm)],[p998,c89]) ).
cnf(p1061,plain,
( ~ spl244
| ~ cC2(sk19(iV8467)) ),
inference(resolution,[status(thm)],[p1023,c86]) ).
cnf(p11225,plain,
( ~ spl244
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p2895,p1061]) ).
cnf(p11226,plain,
( ~ spl244
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(resolution,[status(thm)],[p11225,c6]) ).
cnf(ssp502,plain,
( spl127
| spl9
| ~ spl244 ),
inference(avatar_split_clause,[status(thm)],[p11226,sdef9,sdef127]) ).
fof(f31,axiom,
! [X] :
( cC64(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f31_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) )
| cC64(X) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC64(X) ) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X,Y] :
( ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC64(X) )
& ( ( cC2(sk20(X))
& rR1(X,sk20(X)) )
| ~ cC64(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20])],[f31_nnf]) ).
cnf(c93,plain,
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC64(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p1031,plain,
( ~ cC2(iV8476)
| cC64(iV8472) ),
inference(resolution,[status(thm)],[c93,c172]) ).
cnf(p3019,plain,
cC64(iV8472),
inference(resolution,[status(thm)],[p1031,c180]) ).
cnf(c91,plain,
( rR1(X0,sk20(X0))
| ~ cC64(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p3020,plain,
rR1(iV8472,sk20(iV8472)),
inference(resolution,[status(thm)],[p3019,c91]) ).
cnf(p3036,plain,
( ~ cC2(sk20(iV8472))
| cC58(iV8472) ),
inference(resolution,[status(thm)],[p3020,c81]) ).
cnf(c92,plain,
( cC2(sk20(X0))
| ~ cC64(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p3021,plain,
cC2(sk20(iV8472)),
inference(resolution,[status(thm)],[p3019,c92]) ).
cnf(p11456,plain,
cC58(iV8472),
inference(resolution,[status(thm)],[p3036,p3021]) ).
cnf(p11459,plain,
( cC2(iV8472)
| cC60(iV8472) ),
inference(resolution,[status(thm)],[p11456,c87]) ).
cnf(ssp503,plain,
( spl243
| spl61 ),
inference(avatar_split_clause,[status(thm)],[p11459,sdef61,sdef243]) ).
cnf(c115,plain,
( rR1(X0,sk25(X0))
| ~ cC8(X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p3369,plain,
rR1(iV8467,sk25(iV8467)),
inference(resolution,[status(thm)],[p3337,c115]) ).
cnf(p3432,plain,
( ~ cC2(sk25(iV8467))
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p3369,c39]) ).
cnf(p3428,plain,
( cC2(sk25(iV8467))
| cC20(iV8467) ),
inference(resolution,[status(thm)],[p3369,c21]) ).
cnf(p11689,plain,
( cC20(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p3432,p3428]) ).
cnf(ssp504,plain,
( spl95
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p11689,sdef55,sdef95]) ).
cnf(p3429,plain,
( cC2(sk25(iV8467))
| cC22(iV8467) ),
inference(resolution,[status(thm)],[p3369,c24]) ).
cnf(p11690,plain,
( cC22(iV8467)
| cC32(iV8467) ),
inference(resolution,[status(thm)],[p3432,p3429]) ).
cnf(ssp505,plain,
( spl95
| spl64 ),
inference(avatar_split_clause,[status(thm)],[p11690,sdef64,sdef95]) ).
cnf(p3434,plain,
( ~ cC2(sk25(iV8467))
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p3369,c45]) ).
cnf(p11693,plain,
( cC20(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p3434,p3428]) ).
cnf(ssp506,plain,
( spl113
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p11693,sdef55,sdef113]) ).
cnf(p11694,plain,
( cC22(iV8467)
| cC36(iV8467) ),
inference(resolution,[status(thm)],[p3434,p3429]) ).
cnf(ssp507,plain,
( spl113
| spl64 ),
inference(avatar_split_clause,[status(thm)],[p11694,sdef64,sdef113]) ).
cnf(p3436,plain,
( cC2(sk25(iV8467))
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p3369,c51]) ).
cnf(p11697,plain,
( cC32(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p3436,p3432]) ).
cnf(ssp508,plain,
( spl126
| spl95 ),
inference(avatar_split_clause,[status(thm)],[p11697,sdef95,sdef126]) ).
cnf(p11698,plain,
( cC36(iV8467)
| cC4(iV8467) ),
inference(resolution,[status(thm)],[p3436,p3434]) ).
cnf(ssp509,plain,
( spl126
| spl113 ),
inference(avatar_split_clause,[status(thm)],[p11698,sdef113,sdef126]) ).
cnf(p3439,plain,
( cC2(sk25(iV8467))
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p3369,c66]) ).
cnf(p11699,plain,
( cC32(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p3439,p3432]) ).
cnf(ssp510,plain,
( spl164
| spl95 ),
inference(avatar_split_clause,[status(thm)],[p11699,sdef95,sdef164]) ).
cnf(p11700,plain,
( cC36(iV8467)
| cC48(iV8467) ),
inference(resolution,[status(thm)],[p3439,p3434]) ).
cnf(ssp511,plain,
( spl164
| spl113 ),
inference(avatar_split_clause,[status(thm)],[p11700,sdef113,sdef164]) ).
cnf(p3440,plain,
( ~ cC2(sk25(iV8467))
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p3369,c69]) ).
cnf(p11701,plain,
( cC20(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p3440,p3428]) ).
cnf(ssp512,plain,
( spl175
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p11701,sdef55,sdef175]) ).
cnf(p11702,plain,
( cC22(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p3440,p3429]) ).
cnf(ssp513,plain,
( spl175
| spl64 ),
inference(avatar_split_clause,[status(thm)],[p11702,sdef64,sdef175]) ).
cnf(p11703,plain,
( cC4(iV8467)
| cC50(iV8467) ),
inference(resolution,[status(thm)],[p3440,p3436]) ).
cnf(ssp514,plain,
( spl175
| spl126 ),
inference(avatar_split_clause,[status(thm)],[p11703,sdef126,sdef175]) ).
cnf(p3442,plain,
( ~ cC2(sk25(iV8467))
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p3369,c81]) ).
cnf(p11705,plain,
( cC20(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p3442,p3428]) ).
cnf(ssp515,plain,
( spl238
| spl55 ),
inference(avatar_split_clause,[status(thm)],[p11705,sdef55,sdef238]) ).
cnf(p11706,plain,
( cC22(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p3442,p3429]) ).
cnf(ssp516,plain,
( spl238
| spl64 ),
inference(avatar_split_clause,[status(thm)],[p11706,sdef64,sdef238]) ).
cnf(p11707,plain,
( cC4(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p3442,p3436]) ).
cnf(ssp517,plain,
( spl238
| spl126 ),
inference(avatar_split_clause,[status(thm)],[p11707,sdef126,sdef238]) ).
cnf(p11708,plain,
( cC48(iV8467)
| cC58(iV8467) ),
inference(resolution,[status(thm)],[p3442,p3439]) ).
cnf(ssp518,plain,
( spl238
| spl164 ),
inference(avatar_split_clause,[status(thm)],[p11708,sdef164,sdef238]) ).
cnf(p3443,plain,
( cC2(sk25(iV8467))
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p3369,c84]) ).
cnf(p11709,plain,
( cC32(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p3443,p3432]) ).
cnf(ssp519,plain,
( spl240
| spl95 ),
inference(avatar_split_clause,[status(thm)],[p11709,sdef95,sdef240]) ).
cnf(p11710,plain,
( cC36(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p3443,p3434]) ).
cnf(ssp520,plain,
( spl240
| spl113 ),
inference(avatar_split_clause,[status(thm)],[p11710,sdef113,sdef240]) ).
cnf(p11711,plain,
( cC50(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p3443,p3440]) ).
cnf(ssp521,plain,
( spl240
| spl175 ),
inference(avatar_split_clause,[status(thm)],[p11711,sdef175,sdef240]) ).
cnf(p11712,plain,
( cC58(iV8467)
| cC6(iV8467) ),
inference(resolution,[status(thm)],[p3443,p3442]) ).
cnf(ssp522,plain,
( spl240
| spl238 ),
inference(avatar_split_clause,[status(thm)],[p11712,sdef238,sdef240]) ).
cnf(sat_ref,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,ssp3,ssp4,ssp5,ssp6,ssp7,ssp8,ssp9,ssp10,ssp11,ssp12,ssp13,ssp14,ssp15,ssp16,ssp17,ssp18,ssp19,ssp20,ssp21,ssp22,ssp23,ssp24,ssp25,ssp26,ssp27,ssp28,ssp29,ssp30,ssp31,ssp32,ssp33,ssp34,ssp35,ssp36,ssp37,ssp38,ssp39,ssp40,ssp41,ssp42,ssp43,ssp44,ssp45,ssp46,ssp47,ssp48,ssp49,ssp50,ssp51,ssp52,ssp53,ssp54,ssp55,ssp56,ssp57,ssp58,ssp59,ssp60,ssp61,ssp62,ssp63,ssp64,ssp65,ssp66,ssp67,ssp68,ssp69,ssp70,ssp71,ssp72,ssp73,ssp74,ssp75,ssp76,ssp77,ssp78,ssp79,ssp80,ssp81,ssp82,ssp83,ssp84,ssp85,ssp86,ssp87,ssp88,ssp89,ssp90,ssp91,ssp92,ssp93,ssp94,ssp95,ssp96,ssp97,ssp98,ssp99,ssp100,ssp101,ssp102,ssp103,ssp104,ssp105,ssp106,ssp107,ssp108,ssp109,ssp110,ssp111,ssp112,ssp113,ssp114,ssp115,ssp116,ssp117,ssp118,ssp119,ssp120,ssp121,ssp122,ssp123,ssp124,ssp125,ssp126,ssp127,ssp128,ssp129,ssp130,ssp131,ssp132,ssp133,ssp134,ssp135,ssp136,ssp137,ssp138,ssp139,ssp140,ssp141,ssp142,ssp143,ssp144,ssp145,ssp146,ssp147,ssp148,ssp149,ssp150,ssp151,ssp152,ssp153,ssp154,ssp155,ssp156,ssp157,ssp158,ssp159,ssp160,ssp161,ssp162,ssp163,ssp164,ssp165,ssp166,ssp167,ssp168,ssp169,ssp170,ssp171,ssp172,ssp173,ssp174,ssp175,ssp176,ssp177,ssp178,ssp179,ssp180,ssp181,ssp182,ssp183,ssp184,ssp185,ssp186,ssp187,ssp188,ssp189,ssp190,ssp191,ssp192,ssp193,ssp194,ssp195,ssp196,ssp197,ssp198,ssp199,ssp200,ssp201,ssp202,ssp203,ssp204,ssp205,ssp206,ssp207,ssp208,ssp209,ssp210,ssp211,ssp212,ssp213,ssp214,ssp215,ssp216,ssp217,ssp218,ssp219,ssp220,ssp221,ssp222,ssp223,ssp224,ssp225,ssp226,ssp227,ssp228,ssp229,ssp230,ssp231,ssp232,ssp233,ssp234,ssp235,ssp236,ssp237,ssp238,ssp239,ssp240,ssp241,ssp242,ssp243,ssp244,ssp245,ssp246,ssp247,ssp248,ssp249,ssp250,ssp251,ssp252,ssp253,ssp254,ssp255,ssp256,ssp257,ssp258,ssp259,ssp260,ssp261,ssp262,ssp263,ssp264,ssp265,ssp266,ssp267,ssp268,ssp269,ssp270,ssp271,ssp272,ssp273,ssp274,ssp275,ssp276,ssp277,ssp278,ssp279,ssp280,ssp281,ssp282,ssp283,ssp284,ssp285,ssp286,ssp287,ssp288,ssp289,ssp290,ssp291,ssp292,ssp293,ssp294,ssp295,ssp296,ssp297,ssp298,ssp299,ssp300,ssp301,ssp302,ssp303,ssp304,ssp305,ssp306,ssp307,ssp308,ssp309,ssp310,ssp311,ssp312,ssp313,ssp314,ssp315,ssp316,ssp317,ssp318,ssp319,ssp320,ssp321,ssp322,ssp323,ssp324,ssp325,ssp326,ssp327,ssp328,ssp329,ssp330,ssp331,ssp332,ssp333,ssp334,ssp335,ssp336,ssp337,ssp338,ssp339,ssp340,ssp341,ssp342,ssp343,ssp344,ssp345,ssp346,ssp347,ssp348,ssp349,ssp350,ssp351,ssp352,ssp353,ssp354,ssp355,ssp356,ssp357,ssp358,ssp359,ssp360,ssp361,ssp362,ssp363,ssp364,ssp365,ssp366,ssp367,ssp368,ssp369,ssp370,ssp371,ssp372,ssp373,ssp374,ssp375,ssp376,ssp377,ssp378,ssp379,ssp380,ssp381,ssp382,ssp383,ssp384,ssp385,ssp386,ssp387,ssp388,ssp389,ssp390,ssp391,ssp392,ssp393,ssp394,ssp395,ssp396,ssp397,ssp398,ssp399,ssp400,ssp401,ssp402,ssp403,ssp404,ssp405,ssp406,ssp407,ssp408,ssp409,ssp410,ssp411,ssp412,ssp413,ssp414,ssp415,ssp416,ssp417,ssp418,ssp419,ssp420,ssp421,ssp422,ssp423,ssp424,ssp425,ssp426,ssp427,ssp428,ssp429,ssp430,ssp431,ssp432,ssp433,ssp434,ssp435,ssp436,ssp437,ssp438,ssp439,ssp440,ssp441,ssp442,ssp443,ssp444,ssp445,ssp446,ssp447,ssp448,ssp449,ssp450,ssp451,ssp452,ssp453,ssp454,ssp455,ssp456,ssp457,ssp458,ssp459,ssp460,ssp461,ssp462,ssp463,ssp464,ssp465,ssp466,ssp467,ssp468,ssp469,ssp470,ssp471,ssp472,ssp473,ssp474,ssp475,ssp476,ssp477,ssp478,ssp479,ssp480,ssp481,ssp482,ssp483,ssp484,ssp485,ssp486,ssp487,ssp488,ssp489,ssp490,ssp491,ssp492,ssp493,ssp494,ssp495,ssp496,ssp497,ssp498,ssp499,ssp500,ssp501,ssp502,ssp503,ssp504,ssp505,ssp506,ssp507,ssp508,ssp509,ssp510,ssp511,ssp512,ssp513,ssp514,ssp515,ssp516,ssp517,ssp518,ssp519,ssp520,ssp521,ssp522,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 19:31:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 273.57/36.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 273.57/36.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------