TSTP Solution File: SWW300+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW300+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:50:10 EDT 2024
% Result : Theorem 4.83s 1.40s
% Output : Refutation 4.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 618
% Syntax : Number of formulae : 1428 ( 913 unt; 0 def)
% Number of atoms : 2419 ( 394 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 1392 ( 401 ~; 350 |; 228 &)
% ( 336 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 425 ( 423 usr; 307 prp; 0-4 aty)
% Number of functors : 83 ( 83 usr; 27 con; 0-3 aty)
% Number of variables : 796 ( 731 !; 65 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30782,plain,
$false,
inference(avatar_sat_refutation,[],[f29321,f29326,f29330,f29335,f29340,f29345,f29350,f29355,f29360,f29365,f29370,f29375,f29380,f29385,f29390,f29395,f29400,f29405,f29410,f29415,f29420,f29425,f29430,f29435,f29440,f29445,f29450,f29455,f29460,f29465,f29470,f29475,f29480,f29485,f29490,f29495,f29500,f29505,f29510,f29515,f29520,f29525,f29530,f29535,f29540,f29545,f29550,f29555,f29560,f29565,f29570,f29575,f29580,f29585,f29590,f29595,f29600,f29605,f29610,f29615,f29620,f29625,f29630,f29635,f29640,f29645,f29650,f29655,f29660,f29665,f29670,f29675,f29680,f29685,f29690,f29695,f29700,f29705,f29710,f29715,f29720,f29725,f29730,f29735,f29740,f29745,f29750,f29755,f29760,f29765,f29770,f29775,f29780,f29785,f29790,f29795,f29800,f29805,f29810,f29815,f29820,f29825,f29830,f29835,f29840,f29845,f29850,f29855,f29860,f29865,f29870,f29875,f29880,f29885,f29890,f29895,f29900,f29905,f29910,f29915,f29920,f29925,f29930,f29935,f29940,f29945,f29950,f29955,f29960,f29965,f29970,f29975,f29980,f29985,f29990,f29995,f30000,f30005,f30010,f30015,f30020,f30025,f30030,f30035,f30040,f30045,f30050,f30055,f30060,f30065,f30070,f30075,f30080,f30085,f30090,f30095,f30100,f30105,f30110,f30115,f30120,f30125,f30130,f30135,f30140,f30145,f30150,f30155,f30160,f30165,f30170,f30175,f30180,f30185,f30190,f30195,f30200,f30205,f30210,f30215,f30220,f30225,f30230,f30235,f30240,f30245,f30250,f30255,f30260,f30265,f30270,f30275,f30280,f30285,f30290,f30295,f30300,f30305,f30310,f30315,f30320,f30325,f30330,f30335,f30340,f30346,f30351,f30356,f30361,f30365,f30369,f30373,f30377,f30381,f30385,f30389,f30393,f30397,f30401,f30406,f30410,f30415,f30420,f30425,f30430,f30434,f30438,f30442,f30446,f30450,f30454,f30458,f30462,f30466,f30470,f30474,f30479,f30484,f30489,f30494,f30500,f30505,f30510,f30515,f30520,f30525,f30530,f30535,f30539,f30543,f30547,f30551,f30555,f30559,f30563,f30567,f30571,f30575,f30579,f30583,f30587,f30591,f30595,f30599,f30604,f30608,f30612,f30616,f30621,f30626,f30631,f30636,f30641,f30646,f30651,f30655,f30659,f30664,f30670,f30674,f30678,f30682,f30686,f30690,f30694,f30699,f30703,f30707,f30711,f30715,f30719,f30723,f30727,f30731,f30735,f30739,f30744,f30748,f30752,f30756,f30760,f30764,f30768,f30772,f30776,f30780,f30781]) ).
fof(f30781,plain,
( spl670_2
| ~ spl670_3
| ~ spl670_286 ),
inference(avatar_split_clause,[],[f30740,f30696,f29328,f29323]) ).
fof(f29323,plain,
( spl670_2
<=> v_Q(sK87,sK89) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_2])]) ).
fof(f29328,plain,
( spl670_3
<=> ! [X3] :
( v_Q(X3,sK89)
| ~ v_P_H(X3,sK88) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_3])]) ).
fof(f30696,plain,
( spl670_286
<=> v_P_H(sK87,sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_286])]) ).
fof(f30740,plain,
( v_Q(sK87,sK89)
| ~ spl670_3
| ~ spl670_286 ),
inference(resolution,[],[f30698,f29329]) ).
fof(f29329,plain,
( ! [X3] :
( ~ v_P_H(X3,sK88)
| v_Q(X3,sK89) )
| ~ spl670_3 ),
inference(avatar_component_clause,[],[f29328]) ).
fof(f30698,plain,
( v_P_H(sK87,sK88)
| ~ spl670_286 ),
inference(avatar_component_clause,[],[f30696]) ).
fof(f30780,plain,
spl670_306,
inference(avatar_split_clause,[],[f18678,f30778]) ).
fof(f30778,plain,
( spl670_306
<=> ! [X0,X1] :
( class_Lattices_Odistrib__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_306])]) ).
fof(f18678,plain,
! [X0,X1] :
( class_Lattices_Odistrib__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
inference(cnf_transformation,[],[f10809]) ).
fof(f10809,plain,
! [X0,X1] :
( class_Lattices_Odistrib__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
inference(ennf_transformation,[],[f6423]) ).
fof(f6423,plain,
! [X0,X1] :
( class_Lattices_Odistrib__lattice(X1)
=> class_Lattices_Odistrib__lattice(tc_fun(X0,X1)) ),
inference(rectify,[],[f4990]) ).
fof(f4990,axiom,
! [X277,X278] :
( class_Lattices_Odistrib__lattice(X278)
=> class_Lattices_Odistrib__lattice(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30776,plain,
spl670_305,
inference(avatar_split_clause,[],[f18567,f30774]) ).
fof(f30774,plain,
( spl670_305
<=> ! [X0,X1] :
( class_Orderings_Obot(tc_fun(X0,X1))
| ~ class_Orderings_Obot(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_305])]) ).
fof(f18567,plain,
! [X0,X1] :
( class_Orderings_Obot(tc_fun(X0,X1))
| ~ class_Orderings_Obot(X1) ),
inference(cnf_transformation,[],[f10696]) ).
fof(f10696,plain,
! [X0,X1] :
( class_Orderings_Obot(tc_fun(X0,X1))
| ~ class_Orderings_Obot(X1) ),
inference(ennf_transformation,[],[f6332]) ).
fof(f6332,plain,
! [X0,X1] :
( class_Orderings_Obot(X1)
=> class_Orderings_Obot(tc_fun(X0,X1)) ),
inference(rectify,[],[f4998]) ).
fof(f4998,axiom,
! [X277,X278] :
( class_Orderings_Obot(X278)
=> class_Orderings_Obot(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30772,plain,
spl670_304,
inference(avatar_split_clause,[],[f18564,f30770]) ).
fof(f30770,plain,
( spl670_304
<=> ! [X0,X1] :
( class_Groups_Ouminus(tc_fun(X0,X1))
| ~ class_Groups_Ouminus(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_304])]) ).
fof(f18564,plain,
! [X0,X1] :
( class_Groups_Ouminus(tc_fun(X0,X1))
| ~ class_Groups_Ouminus(X1) ),
inference(cnf_transformation,[],[f10693]) ).
fof(f10693,plain,
! [X0,X1] :
( class_Groups_Ouminus(tc_fun(X0,X1))
| ~ class_Groups_Ouminus(X1) ),
inference(ennf_transformation,[],[f6329]) ).
fof(f6329,plain,
! [X0,X1] :
( class_Groups_Ouminus(X1)
=> class_Groups_Ouminus(tc_fun(X0,X1)) ),
inference(rectify,[],[f4999]) ).
fof(f4999,axiom,
! [X277,X278] :
( class_Groups_Ouminus(X278)
=> class_Groups_Ouminus(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30768,plain,
spl670_303,
inference(avatar_split_clause,[],[f18549,f30766]) ).
fof(f30766,plain,
( spl670_303
<=> ! [X0,X1] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X0,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_303])]) ).
fof(f18549,plain,
! [X0,X1] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X0,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(cnf_transformation,[],[f10676]) ).
fof(f10676,plain,
! [X0,X1] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X0,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(ennf_transformation,[],[f6316]) ).
fof(f6316,plain,
! [X0,X1] :
( class_Complete__Lattice_Ocomplete__lattice(X1)
=> class_Complete__Lattice_Ocomplete__lattice(tc_fun(X0,X1)) ),
inference(rectify,[],[f4985]) ).
fof(f4985,axiom,
! [X277,X278] :
( class_Complete__Lattice_Ocomplete__lattice(X278)
=> class_Complete__Lattice_Ocomplete__lattice(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30764,plain,
spl670_302,
inference(avatar_split_clause,[],[f18543,f30762]) ).
fof(f30762,plain,
( spl670_302
<=> ! [X0,X1] :
( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_302])]) ).
fof(f18543,plain,
! [X0,X1] :
( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(cnf_transformation,[],[f10670]) ).
fof(f10670,plain,
! [X0,X1] :
( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(ennf_transformation,[],[f6310]) ).
fof(f6310,plain,
! [X0,X1] :
( class_Lattices_Oboolean__algebra(X1)
=> class_Lattices_Oboolean__algebra(tc_fun(X0,X1)) ),
inference(rectify,[],[f4991]) ).
fof(f4991,axiom,
! [X277,X278] :
( class_Lattices_Oboolean__algebra(X278)
=> class_Lattices_Oboolean__algebra(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30760,plain,
spl670_301,
inference(avatar_split_clause,[],[f18533,f30758]) ).
fof(f30758,plain,
( spl670_301
<=> ! [X0,X1] :
( class_Lattices_Obounded__lattice__bot(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_301])]) ).
fof(f18533,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice__bot(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(cnf_transformation,[],[f10660]) ).
fof(f10660,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice__bot(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(ennf_transformation,[],[f6300]) ).
fof(f6300,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice(X1)
=> class_Lattices_Obounded__lattice__bot(tc_fun(X0,X1)) ),
inference(rectify,[],[f4987]) ).
fof(f4987,axiom,
! [X277,X278] :
( class_Lattices_Obounded__lattice(X278)
=> class_Lattices_Obounded__lattice__bot(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30756,plain,
spl670_300,
inference(avatar_split_clause,[],[f18532,f30754]) ).
fof(f30754,plain,
( spl670_300
<=> ! [X0,X1] :
( class_Lattices_Obounded__lattice__top(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_300])]) ).
fof(f18532,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice__top(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(cnf_transformation,[],[f10659]) ).
fof(f10659,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice__top(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(ennf_transformation,[],[f6299]) ).
fof(f6299,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice(X1)
=> class_Lattices_Obounded__lattice__top(tc_fun(X0,X1)) ),
inference(rectify,[],[f4986]) ).
fof(f4986,axiom,
! [X277,X278] :
( class_Lattices_Obounded__lattice(X278)
=> class_Lattices_Obounded__lattice__top(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30752,plain,
spl670_299,
inference(avatar_split_clause,[],[f18531,f30750]) ).
fof(f30750,plain,
( spl670_299
<=> ! [X0,X1] :
( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_299])]) ).
fof(f18531,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(cnf_transformation,[],[f10658]) ).
fof(f10658,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(ennf_transformation,[],[f6298]) ).
fof(f6298,plain,
! [X0,X1] :
( class_Lattices_Obounded__lattice(X1)
=> class_Lattices_Obounded__lattice(tc_fun(X0,X1)) ),
inference(rectify,[],[f4984]) ).
fof(f4984,axiom,
! [X277,X278] :
( class_Lattices_Obounded__lattice(X278)
=> class_Lattices_Obounded__lattice(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30748,plain,
spl670_298,
inference(avatar_split_clause,[],[f18530,f30746]) ).
fof(f30746,plain,
( spl670_298
<=> ! [X0,X1] :
( class_Orderings_Otop(tc_fun(X0,X1))
| ~ class_Orderings_Otop(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_298])]) ).
fof(f18530,plain,
! [X0,X1] :
( class_Orderings_Otop(tc_fun(X0,X1))
| ~ class_Orderings_Otop(X1) ),
inference(cnf_transformation,[],[f10657]) ).
fof(f10657,plain,
! [X0,X1] :
( class_Orderings_Otop(tc_fun(X0,X1))
| ~ class_Orderings_Otop(X1) ),
inference(ennf_transformation,[],[f6297]) ).
fof(f6297,plain,
! [X0,X1] :
( class_Orderings_Otop(X1)
=> class_Orderings_Otop(tc_fun(X0,X1)) ),
inference(rectify,[],[f4996]) ).
fof(f4996,axiom,
! [X277,X278] :
( class_Orderings_Otop(X278)
=> class_Orderings_Otop(tc_fun(X277,X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30744,plain,
spl670_297,
inference(avatar_split_clause,[],[f17857,f30742]) ).
fof(f30742,plain,
( spl670_297
<=> ! [X0,X1] : c_Fun_Oinj__on(X1,X1,c_COMBI(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_297])]) ).
fof(f17857,plain,
! [X0,X1] : c_Fun_Oinj__on(X1,X1,c_COMBI(X1),X0),
inference(cnf_transformation,[],[f5728]) ).
fof(f5728,plain,
! [X0,X1] : c_Fun_Oinj__on(X1,X1,c_COMBI(X1),X0),
inference(rectify,[],[f3163]) ).
fof(f3163,axiom,
! [X10,X5] : c_Fun_Oinj__on(X5,X5,c_COMBI(X5),X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30739,plain,
spl670_296,
inference(avatar_split_clause,[],[f17856,f30737]) ).
fof(f30737,plain,
( spl670_296
<=> ! [X0,X1] : c_Fun_Oinj__on(X1,X1,c_Fun_Oid(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_296])]) ).
fof(f17856,plain,
! [X0,X1] : c_Fun_Oinj__on(X1,X1,c_Fun_Oid(X1),X0),
inference(cnf_transformation,[],[f5727]) ).
fof(f5727,plain,
! [X0,X1] : c_Fun_Oinj__on(X1,X1,c_Fun_Oid(X1),X0),
inference(rectify,[],[f3433]) ).
fof(f3433,axiom,
! [X10,X5] : c_Fun_Oinj__on(X5,X5,c_Fun_Oid(X5),X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30735,plain,
spl670_295,
inference(avatar_split_clause,[],[f17852,f30733]) ).
fof(f30733,plain,
( spl670_295
<=> ! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_295])]) ).
fof(f17852,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f5723]) ).
fof(f5723,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X14,X5] : hAPP(c_Set_OCollect(X5),X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30731,plain,
spl670_294,
inference(avatar_split_clause,[],[f17851,f30729]) ).
fof(f30729,plain,
( spl670_294
<=> ! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_294])]) ).
fof(f17851,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f5722]) ).
fof(f5722,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(rectify,[],[f5221]) ).
fof(f5221,axiom,
! [X279,X7] : hAPP(c_COMBI(X7),X279) = X279,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30727,plain,
spl670_293,
inference(avatar_split_clause,[],[f17849,f30725]) ).
fof(f30725,plain,
( spl670_293
<=> ! [X0,X1] : hAPP(c_Fun_Oid(X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_293])]) ).
fof(f17849,plain,
! [X0,X1] : hAPP(c_Fun_Oid(X1),X0) = X0,
inference(cnf_transformation,[],[f5720]) ).
fof(f5720,plain,
! [X0,X1] : hAPP(c_Fun_Oid(X1),X0) = X0,
inference(rectify,[],[f3437]) ).
fof(f3437,axiom,
! [X184,X7] : hAPP(c_Fun_Oid(X7),X184) = X184,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30723,plain,
spl670_292,
inference(avatar_split_clause,[],[f17823,f30721]) ).
fof(f30721,plain,
( spl670_292
<=> ! [X0] : hAPP(c_Code__Numeral_Oof__nat,sK110(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_292])]) ).
fof(f17823,plain,
! [X0] : hAPP(c_Code__Numeral_Oof__nat,sK110(X0)) = X0,
inference(cnf_transformation,[],[f14726]) ).
fof(f14726,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK110(X0)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
& hAPP(c_Code__Numeral_Oof__nat,sK110(X0)) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK110])],[f10466,f14725]) ).
fof(f14725,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
& hAPP(c_Code__Numeral_Oof__nat,X1) = X0 )
=> ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK110(X0)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
& hAPP(c_Code__Numeral_Oof__nat,sK110(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f10466,plain,
! [X0] :
? [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
& hAPP(c_Code__Numeral_Oof__nat,X1) = X0 ),
inference(ennf_transformation,[],[f5695]) ).
fof(f5695,plain,
! [X0] :
~ ! [X1] :
( hAPP(c_Code__Numeral_Oof__nat,X1) = X0
=> ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ),
inference(rectify,[],[f4842]) ).
fof(f4842,axiom,
! [X4] :
~ ! [X15] :
( hAPP(c_Code__Numeral_Oof__nat,X15) = X4
=> ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X15),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30719,plain,
spl670_291,
inference(avatar_split_clause,[],[f17821,f30717]) ).
fof(f30717,plain,
( spl670_291
<=> ! [X0] : hAPP(c_Int_OAbs__Integ,sK109(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_291])]) ).
fof(f17821,plain,
! [X0] : hAPP(c_Int_OAbs__Integ,sK109(X0)) = X0,
inference(cnf_transformation,[],[f14724]) ).
fof(f14724,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),sK109(X0)),c_Int_OInteg))
& hAPP(c_Int_OAbs__Integ,sK109(X0)) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK109])],[f10465,f14723]) ).
fof(f14723,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),c_Int_OInteg))
& hAPP(c_Int_OAbs__Integ,X1) = X0 )
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),sK109(X0)),c_Int_OInteg))
& hAPP(c_Int_OAbs__Integ,sK109(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f10465,plain,
! [X0] :
? [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),c_Int_OInteg))
& hAPP(c_Int_OAbs__Integ,X1) = X0 ),
inference(ennf_transformation,[],[f5694]) ).
fof(f5694,plain,
! [X0] :
~ ! [X1] :
( hAPP(c_Int_OAbs__Integ,X1) = X0
=> ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),c_Int_OInteg)) ),
inference(rectify,[],[f3479]) ).
fof(f3479,axiom,
! [X4] :
~ ! [X15] :
( hAPP(c_Int_OAbs__Integ,X15) = X4
=> ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X15),c_Int_OInteg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30715,plain,
spl670_290,
inference(avatar_split_clause,[],[f17641,f30713]) ).
fof(f30713,plain,
( spl670_290
<=> ! [X0] :
( c_fequal = c_HOL_Oequal__class_Oequal(X0)
| ~ class_HOL_Oequal(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_290])]) ).
fof(f17641,plain,
! [X0] :
( c_fequal = c_HOL_Oequal__class_Oequal(X0)
| ~ class_HOL_Oequal(X0) ),
inference(cnf_transformation,[],[f10410]) ).
fof(f10410,plain,
! [X0] :
( c_fequal = c_HOL_Oequal__class_Oequal(X0)
| ~ class_HOL_Oequal(X0) ),
inference(ennf_transformation,[],[f5588]) ).
fof(f5588,plain,
! [X0] :
( class_HOL_Oequal(X0)
=> c_fequal = c_HOL_Oequal__class_Oequal(X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X5] :
( class_HOL_Oequal(X5)
=> c_HOL_Oequal__class_Oequal(X5) = c_fequal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30711,plain,
spl670_289,
inference(avatar_split_clause,[],[f17620,f30709]) ).
fof(f30709,plain,
( spl670_289
<=> ! [X0] :
( c_List_Olinorder__class_Osorted(X0,c_List_Olist_ONil(X0))
| ~ class_Orderings_Olinorder(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_289])]) ).
fof(f17620,plain,
! [X0] :
( c_List_Olinorder__class_Osorted(X0,c_List_Olist_ONil(X0))
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[],[f10390]) ).
fof(f10390,plain,
! [X0] :
( c_List_Olinorder__class_Osorted(X0,c_List_Olist_ONil(X0))
| ~ class_Orderings_Olinorder(X0) ),
inference(ennf_transformation,[],[f5568]) ).
fof(f5568,plain,
! [X0] :
( class_Orderings_Olinorder(X0)
=> c_List_Olinorder__class_Osorted(X0,c_List_Olist_ONil(X0)) ),
inference(rectify,[],[f4453]) ).
fof(f4453,axiom,
! [X7] :
( class_Orderings_Olinorder(X7)
=> c_List_Olinorder__class_Osorted(X7,c_List_Olist_ONil(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30707,plain,
spl670_288,
inference(avatar_split_clause,[],[f17608,f30705]) ).
fof(f30705,plain,
( spl670_288
<=> ! [X0] :
( c_Int_Oiszero(X0,c_Groups_Ozero__class_Ozero(X0))
| ~ class_Rings_Osemiring__1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_288])]) ).
fof(f17608,plain,
! [X0] :
( c_Int_Oiszero(X0,c_Groups_Ozero__class_Ozero(X0))
| ~ class_Rings_Osemiring__1(X0) ),
inference(cnf_transformation,[],[f10378]) ).
fof(f10378,plain,
! [X0] :
( c_Int_Oiszero(X0,c_Groups_Ozero__class_Ozero(X0))
| ~ class_Rings_Osemiring__1(X0) ),
inference(ennf_transformation,[],[f5556]) ).
fof(f5556,plain,
! [X0] :
( class_Rings_Osemiring__1(X0)
=> c_Int_Oiszero(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(rectify,[],[f2133]) ).
fof(f2133,axiom,
! [X7] :
( class_Rings_Osemiring__1(X7)
=> c_Int_Oiszero(X7,c_Groups_Ozero__class_Ozero(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30703,plain,
spl670_287,
inference(avatar_split_clause,[],[f17607,f30701]) ).
fof(f30701,plain,
( spl670_287
<=> ! [X0] :
( ~ c_Int_Oiszero(X0,c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Osemiring__1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_287])]) ).
fof(f17607,plain,
! [X0] :
( ~ c_Int_Oiszero(X0,c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Osemiring__1(X0) ),
inference(cnf_transformation,[],[f10377]) ).
fof(f10377,plain,
! [X0] :
( ~ c_Int_Oiszero(X0,c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Osemiring__1(X0) ),
inference(ennf_transformation,[],[f5555]) ).
fof(f5555,plain,
! [X0] :
( class_Rings_Osemiring__1(X0)
=> ~ c_Int_Oiszero(X0,c_Groups_Oone__class_Oone(X0)) ),
inference(rectify,[],[f2134]) ).
fof(f2134,axiom,
! [X7] :
( class_Rings_Osemiring__1(X7)
=> ~ c_Int_Oiszero(X7,c_Groups_Oone__class_Oone(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30699,plain,
( spl670_286
| ~ spl670_1
| ~ spl670_278 ),
inference(avatar_split_clause,[],[f30665,f30662,f29318,f30696]) ).
fof(f29318,plain,
( spl670_1
<=> v_P(sK87,sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_1])]) ).
fof(f30662,plain,
( spl670_278
<=> ! [X0,X1] :
( v_P_H(X0,X1)
| ~ v_P(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_278])]) ).
fof(f30665,plain,
( v_P_H(sK87,sK88)
| ~ spl670_1
| ~ spl670_278 ),
inference(resolution,[],[f30663,f29320]) ).
fof(f29320,plain,
( v_P(sK87,sK88)
| ~ spl670_1 ),
inference(avatar_component_clause,[],[f29318]) ).
fof(f30663,plain,
( ! [X0,X1] :
( ~ v_P(X0,X1)
| v_P_H(X0,X1) )
| ~ spl670_278 ),
inference(avatar_component_clause,[],[f30662]) ).
fof(f30694,plain,
spl670_285,
inference(avatar_split_clause,[],[f17572,f30692]) ).
fof(f30692,plain,
( spl670_285
<=> ! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP(c_fNot,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_285])]) ).
fof(f17572,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP(c_fNot,X0)) ),
inference(cnf_transformation,[],[f5519]) ).
fof(f5519,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP(c_fNot,X0)) ),
inference(rectify,[],[f5230]) ).
fof(f5230,axiom,
! [X14] :
( ~ hBOOL(X14)
| ~ hBOOL(hAPP(c_fNot,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30690,plain,
spl670_284,
inference(avatar_split_clause,[],[f17571,f30688]) ).
fof(f30688,plain,
( spl670_284
<=> ! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_284])]) ).
fof(f17571,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f5518]) ).
fof(f5518,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(rectify,[],[f5231]) ).
fof(f5231,axiom,
! [X14] :
( hBOOL(hAPP(c_fNot,X14))
| hBOOL(X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30686,plain,
spl670_283,
inference(avatar_split_clause,[],[f17326,f30684]) ).
fof(f30684,plain,
( spl670_283
<=> ! [X0] : hBOOL(hAPP(c_List_Odistinct(X0),c_List_Olist_ONil(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_283])]) ).
fof(f17326,plain,
! [X0] : hBOOL(hAPP(c_List_Odistinct(X0),c_List_Olist_ONil(X0))),
inference(cnf_transformation,[],[f5287]) ).
fof(f5287,plain,
! [X0] : hBOOL(hAPP(c_List_Odistinct(X0),c_List_Olist_ONil(X0))),
inference(rectify,[],[f3920]) ).
fof(f3920,axiom,
! [X7] : hBOOL(hAPP(c_List_Odistinct(X7),c_List_Olist_ONil(X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30682,plain,
spl670_282,
inference(avatar_split_clause,[],[f17325,f30680]) ).
fof(f30680,plain,
( spl670_282
<=> ! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_282])]) ).
fof(f17325,plain,
! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0,
inference(cnf_transformation,[],[f5286]) ).
fof(f5286,plain,
! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0,
inference(rectify,[],[f1595]) ).
fof(f1595,axiom,
! [X71] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X71) = X71,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30678,plain,
spl670_281,
inference(avatar_split_clause,[],[f17324,f30676]) ).
fof(f30676,plain,
( spl670_281
<=> ! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_281])]) ).
fof(f17324,plain,
! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0,
inference(cnf_transformation,[],[f5285]) ).
fof(f5285,plain,
! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0,
inference(rectify,[],[f3035]) ).
fof(f3035,axiom,
! [X66] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X66) = X66,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30674,plain,
spl670_280,
inference(avatar_split_clause,[],[f17318,f30672]) ).
fof(f30672,plain,
( spl670_280
<=> ! [X0] : c_fequal = c_Predicate_Oconversep(X0,X0,c_fequal) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_280])]) ).
fof(f17318,plain,
! [X0] : c_fequal = c_Predicate_Oconversep(X0,X0,c_fequal),
inference(cnf_transformation,[],[f5279]) ).
fof(f5279,plain,
! [X0] : c_fequal = c_Predicate_Oconversep(X0,X0,c_fequal),
inference(rectify,[],[f4648]) ).
fof(f4648,axiom,
! [X5] : c_fequal = c_Predicate_Oconversep(X5,X5,c_fequal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30670,plain,
spl670_279,
inference(avatar_split_clause,[],[f17182,f30667]) ).
fof(f30667,plain,
( spl670_279
<=> c_Int_OPls = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_279])]) ).
fof(f17182,plain,
c_Int_OPls = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls),
inference(cnf_transformation,[],[f2052]) ).
fof(f2052,axiom,
c_Int_OPls = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30664,plain,
spl670_278,
inference(avatar_split_clause,[],[f16954,f30662]) ).
fof(f16954,plain,
! [X0,X1] :
( v_P_H(X0,X1)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f10331]) ).
fof(f10331,plain,
! [X0,X1] :
( v_P_H(X0,X1)
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5245]) ).
fof(f5245,plain,
! [X0,X1] :
( v_P(X0,X1)
=> v_P_H(X0,X1) ),
inference(rectify,[],[f5241]) ).
fof(f5241,axiom,
! [X281,X282] :
( v_P(X281,X282)
=> v_P_H(X281,X282) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30659,plain,
spl670_277,
inference(avatar_split_clause,[],[f28583,f30657]) ).
fof(f30657,plain,
( spl670_277
<=> ! [X0,X1] : sP44(X0,X1,c_HOL_Obool_Obool__size(c_fTrue)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_277])]) ).
fof(f28583,plain,
! [X0,X1] : sP44(X0,X1,c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f25624,f17177]) ).
fof(f17177,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fTrue),
inference(cnf_transformation,[],[f3756]) ).
fof(f3756,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f25624,plain,
! [X0,X1] : sP44(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(equality_resolution,[],[f21364]) ).
fof(f21364,plain,
! [X2,X0,X1] :
( sP44(X0,X1,X2)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X2 ),
inference(cnf_transformation,[],[f15890]) ).
fof(f15890,plain,
! [X0,X1,X2] :
( ( sP44(X0,X1,X2)
| ( ~ hBOOL(hAPP(X0,sK400(X0,X1,X2)))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sK400(X0,X1,X2))),sK401(X0,X1,X2)) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK401(X0,X1,X2)),X2))
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X2 ) )
& ( ! [X5,X6] :
( hBOOL(hAPP(X0,X5))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X5)),X6) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X6),X2)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2
| ~ sP44(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK400,sK401])],[f15888,f15889]) ).
fof(f15889,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ~ hBOOL(hAPP(X0,X3))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X2)) )
=> ( ~ hBOOL(hAPP(X0,sK400(X0,X1,X2)))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sK400(X0,X1,X2))),sK401(X0,X1,X2)) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK401(X0,X1,X2)),X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f15888,plain,
! [X0,X1,X2] :
( ( sP44(X0,X1,X2)
| ( ? [X3,X4] :
( ~ hBOOL(hAPP(X0,X3))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X2)) )
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X2 ) )
& ( ! [X5,X6] :
( hBOOL(hAPP(X0,X5))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X5)),X6) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X6),X2)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2
| ~ sP44(X0,X1,X2) ) ),
inference(rectify,[],[f15887]) ).
fof(f15887,plain,
! [X2,X1,X0] :
( ( sP44(X2,X1,X0)
| ( ? [X3,X4] :
( ~ hBOOL(hAPP(X2,X3))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 ) )
& ( ! [X3,X4] :
( hBOOL(hAPP(X2,X3))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| ~ sP44(X2,X1,X0) ) ),
inference(flattening,[],[f15886]) ).
fof(f15886,plain,
! [X2,X1,X0] :
( ( sP44(X2,X1,X0)
| ( ? [X3,X4] :
( ~ hBOOL(hAPP(X2,X3))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 ) )
& ( ! [X3,X4] :
( hBOOL(hAPP(X2,X3))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| ~ sP44(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f14536]) ).
fof(f14536,plain,
! [X2,X1,X0] :
( sP44(X2,X1,X0)
<=> ( ! [X3,X4] :
( hBOOL(hAPP(X2,X3))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f30655,plain,
spl670_276,
inference(avatar_split_clause,[],[f28557,f30653]) ).
fof(f30653,plain,
( spl670_276
<=> ! [X0,X1] : sP39(X0,X1,c_HOL_Obool_Obool__size(c_fTrue)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_276])]) ).
fof(f28557,plain,
! [X0,X1] : sP39(X0,X1,c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f25597,f17177]) ).
fof(f25597,plain,
! [X0,X1] : sP39(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(equality_resolution,[],[f21282]) ).
fof(f21282,plain,
! [X2,X0,X1] :
( sP39(X0,X1,X2)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X2 ),
inference(cnf_transformation,[],[f15836]) ).
fof(f15836,plain,
! [X0,X1,X2] :
( ( sP39(X0,X1,X2)
| ( ~ hBOOL(hAPP(X0,sK392(X0,X1,X2)))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sK391(X0,X1,X2))),sK392(X0,X1,X2)) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK392(X0,X1,X2)),X2))
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X2 ) )
& ( ! [X5,X6] :
( hBOOL(hAPP(X0,X6))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X5)),X6) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X6),X2)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2
| ~ sP39(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK391,sK392])],[f15834,f15835]) ).
fof(f15835,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ~ hBOOL(hAPP(X0,X4))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X2)) )
=> ( ~ hBOOL(hAPP(X0,sK392(X0,X1,X2)))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sK391(X0,X1,X2))),sK392(X0,X1,X2)) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK392(X0,X1,X2)),X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f15834,plain,
! [X0,X1,X2] :
( ( sP39(X0,X1,X2)
| ( ? [X3,X4] :
( ~ hBOOL(hAPP(X0,X4))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X2)) )
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X2 ) )
& ( ! [X5,X6] :
( hBOOL(hAPP(X0,X6))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X5)),X6) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X6),X2)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2
| ~ sP39(X0,X1,X2) ) ),
inference(rectify,[],[f15833]) ).
fof(f15833,plain,
! [X2,X1,X0] :
( ( sP39(X2,X1,X0)
| ( ? [X3,X4] :
( ~ hBOOL(hAPP(X2,X4))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 ) )
& ( ! [X3,X4] :
( hBOOL(hAPP(X2,X4))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| ~ sP39(X2,X1,X0) ) ),
inference(flattening,[],[f15832]) ).
fof(f15832,plain,
! [X2,X1,X0] :
( ( sP39(X2,X1,X0)
| ( ? [X3,X4] :
( ~ hBOOL(hAPP(X2,X4))
& hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) = X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 ) )
& ( ! [X3,X4] :
( hBOOL(hAPP(X2,X4))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| ~ sP39(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f14528]) ).
fof(f14528,plain,
! [X2,X1,X0] :
( sP39(X2,X1,X0)
<=> ( ! [X3,X4] :
( hBOOL(hAPP(X2,X4))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X3)),X4) != X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f30651,plain,
spl670_275,
inference(avatar_split_clause,[],[f27679,f30648]) ).
fof(f30648,plain,
( spl670_275
<=> sP14(c_HOL_Obool_Obool__size(c_fTrue),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_275])]) ).
fof(f27679,plain,
sP14(c_HOL_Obool_Obool__size(c_fTrue),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(forward_demodulation,[],[f27678,f25943]) ).
fof(f25943,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f17199,f17177]) ).
fof(f17199,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(cnf_transformation,[],[f1015]) ).
fof(f1015,axiom,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27678,plain,
sP14(c_HOL_Obool_Obool__size(c_fTrue),hAPP(c_Nat_OSuc,c_HOL_Obool_Obool__size(c_fTrue))),
inference(forward_demodulation,[],[f25457,f17177]) ).
fof(f25457,plain,
sP14(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(equality_resolution,[],[f25456]) ).
fof(f25456,plain,
! [X1] :
( sP14(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ),
inference(equality_resolution,[],[f19469]) ).
fof(f19469,plain,
! [X0,X1] :
( sP14(X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ),
inference(cnf_transformation,[],[f15194]) ).
fof(f15194,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 )
& ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ) ) )
& ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
& hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 )
| ~ sP14(X0,X1) ) ),
inference(flattening,[],[f15193]) ).
fof(f15193,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 )
& ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ) ) )
& ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
& hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 )
| ~ sP14(X0,X1) ) ),
inference(nnf_transformation,[],[f14488]) ).
fof(f14488,plain,
! [X0,X1] :
( sP14(X0,X1)
<=> ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
& hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f30646,plain,
spl670_274,
inference(avatar_split_clause,[],[f27677,f30643]) ).
fof(f30643,plain,
( spl670_274
<=> sP14(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fTrue)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_274])]) ).
fof(f27677,plain,
sP14(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f27676,f25943]) ).
fof(f27676,plain,
sP14(hAPP(c_Nat_OSuc,c_HOL_Obool_Obool__size(c_fTrue)),c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f25455,f17177]) ).
fof(f25455,plain,
sP14(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(equality_resolution,[],[f25454]) ).
fof(f25454,plain,
! [X1] :
( sP14(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 ),
inference(equality_resolution,[],[f19470]) ).
fof(f19470,plain,
! [X0,X1] :
( sP14(X0,X1)
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 ),
inference(cnf_transformation,[],[f15194]) ).
fof(f30641,plain,
spl670_273,
inference(avatar_split_clause,[],[f27659,f30638]) ).
fof(f30638,plain,
( spl670_273
<=> sP13(c_HOL_Obool_Obool__size(c_fTrue),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_273])]) ).
fof(f27659,plain,
sP13(c_HOL_Obool_Obool__size(c_fTrue),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(forward_demodulation,[],[f27658,f25943]) ).
fof(f27658,plain,
sP13(c_HOL_Obool_Obool__size(c_fTrue),hAPP(c_Nat_OSuc,c_HOL_Obool_Obool__size(c_fTrue))),
inference(forward_demodulation,[],[f25453,f17177]) ).
fof(f25453,plain,
sP13(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(equality_resolution,[],[f25452]) ).
fof(f25452,plain,
! [X1] :
( sP13(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ),
inference(equality_resolution,[],[f19461]) ).
fof(f19461,plain,
! [X0,X1] :
( sP13(X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ),
inference(cnf_transformation,[],[f15191]) ).
fof(f15191,plain,
! [X0,X1] :
( ( sP13(X0,X1)
| ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 )
& ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ) ) )
& ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
& hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 )
| ~ sP13(X0,X1) ) ),
inference(flattening,[],[f15190]) ).
fof(f15190,plain,
! [X0,X1] :
( ( sP13(X0,X1)
| ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 )
& ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ) ) )
& ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
& hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 )
| ~ sP13(X0,X1) ) ),
inference(nnf_transformation,[],[f14486]) ).
fof(f14486,plain,
! [X0,X1] :
( sP13(X0,X1)
<=> ( ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
& c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
& hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f30636,plain,
spl670_272,
inference(avatar_split_clause,[],[f27657,f30633]) ).
fof(f30633,plain,
( spl670_272
<=> sP13(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fTrue)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_272])]) ).
fof(f27657,plain,
sP13(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f27656,f25943]) ).
fof(f27656,plain,
sP13(hAPP(c_Nat_OSuc,c_HOL_Obool_Obool__size(c_fTrue)),c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f25451,f17177]) ).
fof(f25451,plain,
sP13(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(equality_resolution,[],[f25450]) ).
fof(f25450,plain,
! [X1] :
( sP13(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 ),
inference(equality_resolution,[],[f19462]) ).
fof(f19462,plain,
! [X0,X1] :
( sP13(X0,X1)
| hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 ),
inference(cnf_transformation,[],[f15191]) ).
fof(f30631,plain,
spl670_271,
inference(avatar_split_clause,[],[f26182,f30628]) ).
fof(f30628,plain,
( spl670_271
<=> c_Int_OPls = c_Groups_Osgn__class_Osgn(tc_Int_Oint,c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_271])]) ).
fof(f26182,plain,
c_Int_OPls = c_Groups_Osgn__class_Osgn(tc_Int_Oint,c_Int_OPls),
inference(forward_demodulation,[],[f25293,f17167]) ).
fof(f17167,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls,
inference(cnf_transformation,[],[f2030]) ).
fof(f2030,axiom,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f25293,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
inference(equality_resolution,[],[f17550]) ).
fof(f17550,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0)
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X0 ),
inference(cnf_transformation,[],[f10333]) ).
fof(f10333,plain,
! [X0] :
( ( ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0)
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
& ( c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) )
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X0 )
& ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0)
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X0 ) ),
inference(ennf_transformation,[],[f5508]) ).
fof(f5508,plain,
! [X0] :
( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X0
=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
=> hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
=> c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) ) ) )
& ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X0
=> c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X0) ) ),
inference(rectify,[],[f1541]) ).
fof(f1541,axiom,
! [X70] :
( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X70
=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X70))
=> c_Groups_Osgn__class_Osgn(tc_Int_Oint,X70) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X70))
=> c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X70) ) ) )
& ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X70
=> c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,X70) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30626,plain,
spl670_270,
inference(avatar_split_clause,[],[f25939,f30623]) ).
fof(f30623,plain,
( spl670_270
<=> c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_270])]) ).
fof(f25939,plain,
c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fTrue),
inference(forward_demodulation,[],[f17179,f17177]) ).
fof(f17179,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Orderings_Obot__class_Obot(tc_Nat_Onat),
inference(cnf_transformation,[],[f1303]) ).
fof(f1303,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Orderings_Obot__class_Obot(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30621,plain,
spl670_269,
inference(avatar_split_clause,[],[f25938,f30618]) ).
fof(f30618,plain,
( spl670_269
<=> c_HOL_Obool_Obool__size(c_fFalse) = c_HOL_Obool_Obool__size(c_fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_269])]) ).
fof(f25938,plain,
c_HOL_Obool_Obool__size(c_fFalse) = c_HOL_Obool_Obool__size(c_fTrue),
inference(forward_demodulation,[],[f17178,f17177]) ).
fof(f17178,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fFalse),
inference(cnf_transformation,[],[f3755]) ).
fof(f3755,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30616,plain,
spl670_268,
inference(avatar_split_clause,[],[f25865,f30614]) ).
fof(f30614,plain,
( spl670_268
<=> ! [X2,X3] : sP80(X3,X2,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_268])]) ).
fof(f25865,plain,
! [X2,X3] : sP80(X3,X2,X2,X3),
inference(equality_resolution,[],[f25864]) ).
fof(f25864,plain,
! [X2,X3,X1] :
( sP80(X3,X1,X2,X3)
| X1 != X2 ),
inference(equality_resolution,[],[f23665]) ).
fof(f23665,plain,
! [X2,X3,X0,X1] :
( sP80(X0,X1,X2,X3)
| X0 != X3
| X1 != X2 ),
inference(cnf_transformation,[],[f16778]) ).
fof(f16778,plain,
! [X0,X1,X2,X3] :
( ( sP80(X0,X1,X2,X3)
| ( ( X0 != X1
| X2 != X3 )
& ( X0 != X3
| X1 != X2 ) ) )
& ( ( X0 = X1
& X2 = X3 )
| ( X0 = X3
& X1 = X2 )
| ~ sP80(X0,X1,X2,X3) ) ),
inference(rectify,[],[f16777]) ).
fof(f16777,plain,
! [X2,X1,X3,X0] :
( ( sP80(X2,X1,X3,X0)
| ( ( X1 != X2
| X0 != X3 )
& ( X0 != X2
| X1 != X3 ) ) )
& ( ( X1 = X2
& X0 = X3 )
| ( X0 = X2
& X1 = X3 )
| ~ sP80(X2,X1,X3,X0) ) ),
inference(flattening,[],[f16776]) ).
fof(f16776,plain,
! [X2,X1,X3,X0] :
( ( sP80(X2,X1,X3,X0)
| ( ( X1 != X2
| X0 != X3 )
& ( X0 != X2
| X1 != X3 ) ) )
& ( ( X1 = X2
& X0 = X3 )
| ( X0 = X2
& X1 = X3 )
| ~ sP80(X2,X1,X3,X0) ) ),
inference(nnf_transformation,[],[f14602]) ).
fof(f14602,plain,
! [X2,X1,X3,X0] :
( sP80(X2,X1,X3,X0)
<=> ( ( X1 = X2
& X0 = X3 )
| ( X0 = X2
& X1 = X3 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f30612,plain,
spl670_267,
inference(avatar_split_clause,[],[f25863,f30610]) ).
fof(f30610,plain,
( spl670_267
<=> ! [X1,X3] : sP80(X1,X1,X3,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_267])]) ).
fof(f25863,plain,
! [X3,X1] : sP80(X1,X1,X3,X3),
inference(equality_resolution,[],[f25862]) ).
fof(f25862,plain,
! [X2,X3,X1] :
( sP80(X1,X1,X2,X3)
| X2 != X3 ),
inference(equality_resolution,[],[f23666]) ).
fof(f23666,plain,
! [X2,X3,X0,X1] :
( sP80(X0,X1,X2,X3)
| X0 != X1
| X2 != X3 ),
inference(cnf_transformation,[],[f16778]) ).
fof(f30608,plain,
spl670_266,
inference(avatar_split_clause,[],[f25640,f30606]) ).
fof(f30606,plain,
( spl670_266
<=> ! [X0,X1] : sP48(X0,X1,c_List_Olist_ONil(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_266])]) ).
fof(f25640,plain,
! [X0,X1] : sP48(X0,X1,c_List_Olist_ONil(X1)),
inference(equality_resolution,[],[f21444]) ).
fof(f21444,plain,
! [X2,X0,X1] :
( sP48(X0,X1,X2)
| c_List_Olist_ONil(X1) != X2 ),
inference(cnf_transformation,[],[f15953]) ).
fof(f15953,plain,
! [X0,X1,X2] :
( ( sP48(X0,X1,X2)
| ( ! [X3,X4] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X0))
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4) != X2 )
& c_List_Olist_ONil(X1) != X2 ) )
& ( ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),sK414(X0,X1,X2)),c_List_Olists(X1,X0)))
& hBOOL(hAPP(hAPP(c_member(X1),sK413(X0,X1,X2)),X0))
& hAPP(hAPP(c_List_Olist_OCons(X1),sK413(X0,X1,X2)),sK414(X0,X1,X2)) = X2 )
| c_List_Olist_ONil(X1) = X2
| ~ sP48(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK413,sK414])],[f15951,f15952]) ).
fof(f15952,plain,
! [X0,X1,X2] :
( ? [X5,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X6),c_List_Olists(X1,X0)))
& hBOOL(hAPP(hAPP(c_member(X1),X5),X0))
& hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6) = X2 )
=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),sK414(X0,X1,X2)),c_List_Olists(X1,X0)))
& hBOOL(hAPP(hAPP(c_member(X1),sK413(X0,X1,X2)),X0))
& hAPP(hAPP(c_List_Olist_OCons(X1),sK413(X0,X1,X2)),sK414(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f15951,plain,
! [X0,X1,X2] :
( ( sP48(X0,X1,X2)
| ( ! [X3,X4] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X0))
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4) != X2 )
& c_List_Olist_ONil(X1) != X2 ) )
& ( ? [X5,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X6),c_List_Olists(X1,X0)))
& hBOOL(hAPP(hAPP(c_member(X1),X5),X0))
& hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6) = X2 )
| c_List_Olist_ONil(X1) = X2
| ~ sP48(X0,X1,X2) ) ),
inference(rectify,[],[f15950]) ).
fof(f15950,plain,
! [X0,X2,X1] :
( ( sP48(X0,X2,X1)
| ( ! [X3,X4] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X4),c_List_Olists(X2,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X3),X0))
| hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4) != X1 )
& c_List_Olist_ONil(X2) != X1 ) )
& ( ? [X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X4),c_List_Olists(X2,X0)))
& hBOOL(hAPP(hAPP(c_member(X2),X3),X0))
& hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4) = X1 )
| c_List_Olist_ONil(X2) = X1
| ~ sP48(X0,X2,X1) ) ),
inference(flattening,[],[f15949]) ).
fof(f15949,plain,
! [X0,X2,X1] :
( ( sP48(X0,X2,X1)
| ( ! [X3,X4] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X4),c_List_Olists(X2,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X3),X0))
| hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4) != X1 )
& c_List_Olist_ONil(X2) != X1 ) )
& ( ? [X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X4),c_List_Olists(X2,X0)))
& hBOOL(hAPP(hAPP(c_member(X2),X3),X0))
& hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4) = X1 )
| c_List_Olist_ONil(X2) = X1
| ~ sP48(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f14544]) ).
fof(f14544,plain,
! [X0,X2,X1] :
( sP48(X0,X2,X1)
<=> ( ? [X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X4),c_List_Olists(X2,X0)))
& hBOOL(hAPP(hAPP(c_member(X2),X3),X0))
& hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4) = X1 )
| c_List_Olist_ONil(X2) = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f30604,plain,
spl670_265,
inference(avatar_split_clause,[],[f25425,f30601]) ).
fof(f30601,plain,
( spl670_265
<=> sP9(c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_265])]) ).
fof(f25425,plain,
sP9(c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),
inference(equality_resolution,[],[f25424]) ).
fof(f25424,plain,
! [X1] :
( sP9(c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
| c_Groups_Oone__class_Oone(tc_Int_Oint) != X1 ),
inference(equality_resolution,[],[f19332]) ).
fof(f19332,plain,
! [X0,X1] :
( sP9(X0,X1)
| c_Groups_Oone__class_Oone(tc_Int_Oint) != X0
| c_Groups_Oone__class_Oone(tc_Int_Oint) != X1 ),
inference(cnf_transformation,[],[f15113]) ).
fof(f15113,plain,
! [X0,X1] :
( ( sP9(X0,X1)
| ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X0
| hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X1 )
& ( c_Groups_Oone__class_Oone(tc_Int_Oint) != X0
| c_Groups_Oone__class_Oone(tc_Int_Oint) != X1 ) ) )
& ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) = X0
& hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) = X1 )
| ( c_Groups_Oone__class_Oone(tc_Int_Oint) = X0
& c_Groups_Oone__class_Oone(tc_Int_Oint) = X1 )
| ~ sP9(X0,X1) ) ),
inference(flattening,[],[f15112]) ).
fof(f15112,plain,
! [X0,X1] :
( ( sP9(X0,X1)
| ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X0
| hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X1 )
& ( c_Groups_Oone__class_Oone(tc_Int_Oint) != X0
| c_Groups_Oone__class_Oone(tc_Int_Oint) != X1 ) ) )
& ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) = X0
& hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) = X1 )
| ( c_Groups_Oone__class_Oone(tc_Int_Oint) = X0
& c_Groups_Oone__class_Oone(tc_Int_Oint) = X1 )
| ~ sP9(X0,X1) ) ),
inference(nnf_transformation,[],[f14479]) ).
fof(f14479,plain,
! [X0,X1] :
( sP9(X0,X1)
<=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) = X0
& hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) = X1 )
| ( c_Groups_Oone__class_Oone(tc_Int_Oint) = X0
& c_Groups_Oone__class_Oone(tc_Int_Oint) = X1 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f30599,plain,
spl670_264,
inference(avatar_split_clause,[],[f25392,f30597]) ).
fof(f30597,plain,
( spl670_264
<=> ! [X0] : sP7(hAPP(c_Int_Onat,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_264])]) ).
fof(f25392,plain,
! [X0] : sP7(hAPP(c_Int_Onat,X0),X0),
inference(equality_resolution,[],[f19201]) ).
fof(f19201,plain,
! [X0,X1] :
( sP7(X1,X0)
| hAPP(c_Int_Onat,X0) != X1 ),
inference(cnf_transformation,[],[f15007]) ).
fof(f15007,plain,
! [X0,X1] :
( ( hAPP(c_Int_Onat,X0) = X1
| ~ sP7(X1,X0) )
& ( sP7(X1,X0)
| hAPP(c_Int_Onat,X0) != X1 ) ),
inference(nnf_transformation,[],[f14476]) ).
fof(f14476,plain,
! [X0,X1] :
( hAPP(c_Int_Onat,X0) = X1
<=> sP7(X1,X0) ),
inference(definition_folding,[],[f11289,f14475]) ).
fof(f14475,plain,
! [X1,X0] :
( sP7(X1,X0)
<=> ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = X0
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f11289,plain,
! [X0,X1] :
( hAPP(c_Int_Onat,X0) = X1
<=> ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = X0
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) ) ),
inference(ennf_transformation,[],[f6796]) ).
fof(f6796,plain,
! [X0,X1] :
( hAPP(c_Int_Onat,X0) = X1
<=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
=> hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = X0 ) ) ),
inference(rectify,[],[f1940]) ).
fof(f1940,axiom,
! [X76,X38] :
( hAPP(c_Int_Onat,X76) = X38
<=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X76))
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X38 )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X76))
=> hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X38) = X76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30595,plain,
spl670_263,
inference(avatar_split_clause,[],[f25387,f30593]) ).
fof(f30593,plain,
( spl670_263
<=> ! [X1] : sP6(hAPP(c_Int_Onat,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_263])]) ).
fof(f25387,plain,
! [X1] : sP6(hAPP(c_Int_Onat,X1),X1),
inference(equality_resolution,[],[f19193]) ).
fof(f19193,plain,
! [X0,X1] :
( sP6(X0,X1)
| hAPP(c_Int_Onat,X1) != X0 ),
inference(cnf_transformation,[],[f15003]) ).
fof(f15003,plain,
! [X0,X1] :
( ( hAPP(c_Int_Onat,X1) = X0
| ~ sP6(X0,X1) )
& ( sP6(X0,X1)
| hAPP(c_Int_Onat,X1) != X0 ) ),
inference(nnf_transformation,[],[f14474]) ).
fof(f14474,plain,
! [X0,X1] :
( hAPP(c_Int_Onat,X1) = X0
<=> sP6(X0,X1) ),
inference(definition_folding,[],[f11288,f14473]) ).
fof(f14473,plain,
! [X0,X1] :
( sP6(X0,X1)
<=> ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f11288,plain,
! [X0,X1] :
( hAPP(c_Int_Onat,X1) = X0
<=> ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) ) ),
inference(ennf_transformation,[],[f6795]) ).
fof(f6795,plain,
! [X0,X1] :
( hAPP(c_Int_Onat,X1) = X0
<=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
=> hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1 ) ) ),
inference(rectify,[],[f1939]) ).
fof(f1939,axiom,
! [X38,X76] :
( hAPP(c_Int_Onat,X76) = X38
<=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X76))
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X38 )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X76))
=> hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X38) = X76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30591,plain,
spl670_262,
inference(avatar_split_clause,[],[f19136,f30589]) ).
fof(f30589,plain,
( spl670_262
<=> ! [X0,X1] :
( sP4(X0)
| ~ c_Equiv__Relations_Opart__equivp(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_262])]) ).
fof(f19136,plain,
! [X0,X1] :
( sP4(X0)
| ~ c_Equiv__Relations_Opart__equivp(X1,X0) ),
inference(cnf_transformation,[],[f14948]) ).
fof(f14948,plain,
! [X0,X1] :
( ( c_Equiv__Relations_Opart__equivp(X1,X0)
| ~ sP4(X0)
| ! [X2] : ~ hBOOL(hAPP(hAPP(X0,X2),X2)) )
& ( ( sP4(X0)
& hBOOL(hAPP(hAPP(X0,sK173(X0)),sK173(X0))) )
| ~ c_Equiv__Relations_Opart__equivp(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK173])],[f14946,f14947]) ).
fof(f14947,plain,
! [X0] :
( ? [X3] : hBOOL(hAPP(hAPP(X0,X3),X3))
=> hBOOL(hAPP(hAPP(X0,sK173(X0)),sK173(X0))) ),
introduced(choice_axiom,[]) ).
fof(f14946,plain,
! [X0,X1] :
( ( c_Equiv__Relations_Opart__equivp(X1,X0)
| ~ sP4(X0)
| ! [X2] : ~ hBOOL(hAPP(hAPP(X0,X2),X2)) )
& ( ( sP4(X0)
& ? [X3] : hBOOL(hAPP(hAPP(X0,X3),X3)) )
| ~ c_Equiv__Relations_Opart__equivp(X1,X0) ) ),
inference(rectify,[],[f14945]) ).
fof(f14945,plain,
! [X0,X1] :
( ( c_Equiv__Relations_Opart__equivp(X1,X0)
| ~ sP4(X0)
| ! [X4] : ~ hBOOL(hAPP(hAPP(X0,X4),X4)) )
& ( ( sP4(X0)
& ? [X4] : hBOOL(hAPP(hAPP(X0,X4),X4)) )
| ~ c_Equiv__Relations_Opart__equivp(X1,X0) ) ),
inference(flattening,[],[f14944]) ).
fof(f14944,plain,
! [X0,X1] :
( ( c_Equiv__Relations_Opart__equivp(X1,X0)
| ~ sP4(X0)
| ! [X4] : ~ hBOOL(hAPP(hAPP(X0,X4),X4)) )
& ( ( sP4(X0)
& ? [X4] : hBOOL(hAPP(hAPP(X0,X4),X4)) )
| ~ c_Equiv__Relations_Opart__equivp(X1,X0) ) ),
inference(nnf_transformation,[],[f14470]) ).
fof(f14470,plain,
! [X0,X1] :
( c_Equiv__Relations_Opart__equivp(X1,X0)
<=> ( sP4(X0)
& ? [X4] : hBOOL(hAPP(hAPP(X0,X4),X4)) ) ),
inference(definition_folding,[],[f6777,f14469]) ).
fof(f14469,plain,
! [X0] :
( sP4(X0)
<=> ! [X2,X3] :
( hBOOL(hAPP(hAPP(X0,X2),X3))
<=> ( hAPP(X0,X2) = hAPP(X0,X3)
& hBOOL(hAPP(hAPP(X0,X3),X3))
& hBOOL(hAPP(hAPP(X0,X2),X2)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f6777,plain,
! [X0,X1] :
( c_Equiv__Relations_Opart__equivp(X1,X0)
<=> ( ! [X2,X3] :
( hBOOL(hAPP(hAPP(X0,X2),X3))
<=> ( hAPP(X0,X2) = hAPP(X0,X3)
& hBOOL(hAPP(hAPP(X0,X3),X3))
& hBOOL(hAPP(hAPP(X0,X2),X2)) ) )
& ? [X4] : hBOOL(hAPP(hAPP(X0,X4),X4)) ) ),
inference(rectify,[],[f4807]) ).
fof(f4807,axiom,
! [X143,X5] :
( c_Equiv__Relations_Opart__equivp(X5,X143)
<=> ( ! [X2,X15] :
( hBOOL(hAPP(hAPP(X143,X2),X15))
<=> ( hAPP(X143,X2) = hAPP(X143,X15)
& hBOOL(hAPP(hAPP(X143,X15),X15))
& hBOOL(hAPP(hAPP(X143,X2),X2)) ) )
& ? [X2] : hBOOL(hAPP(hAPP(X143,X2),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30587,plain,
spl670_261,
inference(avatar_split_clause,[],[f18672,f30585]) ).
fof(f30585,plain,
( spl670_261
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_261])]) ).
fof(f18672,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(cnf_transformation,[],[f14464]) ).
fof(f14464,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(definition_folding,[],[f10806,f14463,f14462]) ).
fof(f14462,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ? [X2,X3] :
( c_List_Olinorder__class_Osorted(X1,X2)
& ! [X4] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2))) )
& hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) = X0 )
| c_List_Olist_ONil(X1) = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14463,plain,
! [X0,X1] :
( ( c_List_Olinorder__class_Osorted(X1,X0)
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10806,plain,
! [X0,X1] :
( ( c_List_Olinorder__class_Osorted(X1,X0)
<=> ( ? [X2,X3] :
( c_List_Olinorder__class_Osorted(X1,X2)
& ! [X4] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2))) )
& hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) = X0 )
| c_List_Olist_ONil(X1) = X0 ) )
| ~ class_Orderings_Olinorder(X1) ),
inference(ennf_transformation,[],[f6420]) ).
fof(f6420,plain,
! [X0,X1] :
( class_Orderings_Olinorder(X1)
=> ( c_List_Olinorder__class_Osorted(X1,X0)
<=> ( ? [X2,X3] :
( c_List_Olinorder__class_Osorted(X1,X2)
& ! [X4] :
( hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2)))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)) )
& hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) = X0 )
| c_List_Olist_ONil(X1) = X0 ) ) ),
inference(rectify,[],[f4555]) ).
fof(f4555,axiom,
! [X17,X5] :
( class_Orderings_Olinorder(X5)
=> ( c_List_Olinorder__class_Osorted(X5,X17)
<=> ( ? [X208,X2] :
( c_List_Olinorder__class_Osorted(X5,X208)
& ! [X37] :
( hBOOL(hAPP(hAPP(c_member(X5),X37),hAPP(c_List_Oset(X5),X208)))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X5),X2),X37)) )
& hAPP(hAPP(c_List_Olist_OCons(X5),X2),X208) = X17 )
| c_List_Olist_ONil(X5) = X17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30583,plain,
spl670_260,
inference(avatar_split_clause,[],[f17848,f30581]) ).
fof(f30581,plain,
( spl670_260
<=> ! [X0,X1] : c_List_Olist__all(X1,X0,c_List_Olist_ONil(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_260])]) ).
fof(f17848,plain,
! [X0,X1] : c_List_Olist__all(X1,X0,c_List_Olist_ONil(X1)),
inference(cnf_transformation,[],[f5719]) ).
fof(f5719,plain,
! [X0,X1] : c_List_Olist__all(X1,X0,c_List_Olist_ONil(X1)),
inference(rectify,[],[f4605]) ).
fof(f4605,axiom,
! [X14,X5] : c_List_Olist__all(X5,X14,c_List_Olist_ONil(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30579,plain,
spl670_259,
inference(avatar_split_clause,[],[f17845,f30577]) ).
fof(f30577,plain,
( spl670_259
<=> ! [X0,X1] : c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_259])]) ).
fof(f17845,plain,
! [X0,X1] : c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X0)),
inference(cnf_transformation,[],[f5716]) ).
fof(f5716,plain,
! [X0,X1] : c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X0)),
inference(rectify,[],[f4750]) ).
fof(f4750,axiom,
! [X129,X5] : c_Relation_Otrans(X5,c_Transitive__Closure_Otrancl(X5,X129)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30575,plain,
spl670_258,
inference(avatar_split_clause,[],[f17840,f30573]) ).
fof(f30573,plain,
( spl670_258
<=> ! [X0,X1] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_258])]) ).
fof(f17840,plain,
! [X0,X1] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(X1,X0)),
inference(cnf_transformation,[],[f5711]) ).
fof(f5711,plain,
! [X0,X1] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(X1,X0)),
inference(rectify,[],[f4448]) ).
fof(f4448,axiom,
! [X69,X70] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(X70,X69)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30571,plain,
spl670_257,
inference(avatar_split_clause,[],[f17839,f30569]) ).
fof(f30569,plain,
( spl670_257
<=> ! [X0,X1] : ~ c_List_Olist__ex(X1,X0,c_List_Olist_ONil(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_257])]) ).
fof(f17839,plain,
! [X0,X1] : ~ c_List_Olist__ex(X1,X0,c_List_Olist_ONil(X1)),
inference(cnf_transformation,[],[f5710]) ).
fof(f5710,plain,
! [X0,X1] : ~ c_List_Olist__ex(X1,X0,c_List_Olist_ONil(X1)),
inference(rectify,[],[f4596]) ).
fof(f4596,axiom,
! [X14,X5] : ~ c_List_Olist__ex(X5,X14,c_List_Olist_ONil(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30567,plain,
spl670_256,
inference(avatar_split_clause,[],[f17838,f30565]) ).
fof(f30565,plain,
( spl670_256
<=> ! [X0,X1] : ~ c_List_Olist__ex1(X1,X0,c_List_Olist_ONil(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_256])]) ).
fof(f17838,plain,
! [X0,X1] : ~ c_List_Olist__ex1(X1,X0,c_List_Olist_ONil(X1)),
inference(cnf_transformation,[],[f5709]) ).
fof(f5709,plain,
! [X0,X1] : ~ c_List_Olist__ex1(X1,X0,c_List_Olist_ONil(X1)),
inference(rectify,[],[f4620]) ).
fof(f4620,axiom,
! [X14,X5] : ~ c_List_Olist__ex1(X5,X14,c_List_Olist_ONil(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30563,plain,
spl670_255,
inference(avatar_split_clause,[],[f17635,f30561]) ).
fof(f30561,plain,
( spl670_255
<=> ! [X0] :
( class_Enum_Oenum(tc_Option_Ooption(X0))
| ~ class_Enum_Oenum(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_255])]) ).
fof(f17635,plain,
! [X0] :
( class_Enum_Oenum(tc_Option_Ooption(X0))
| ~ class_Enum_Oenum(X0) ),
inference(cnf_transformation,[],[f10405]) ).
fof(f10405,plain,
! [X0] :
( class_Enum_Oenum(tc_Option_Ooption(X0))
| ~ class_Enum_Oenum(X0) ),
inference(ennf_transformation,[],[f5583]) ).
fof(f5583,plain,
! [X0] :
( class_Enum_Oenum(X0)
=> class_Enum_Oenum(tc_Option_Ooption(X0)) ),
inference(rectify,[],[f5158]) ).
fof(f5158,axiom,
! [X278] :
( class_Enum_Oenum(X278)
=> class_Enum_Oenum(tc_Option_Ooption(X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30559,plain,
spl670_254,
inference(avatar_split_clause,[],[f17633,f30557]) ).
fof(f30557,plain,
( spl670_254
<=> ! [X0] :
( class_Finite__Set_Ofinite(tc_Option_Ooption(X0))
| ~ class_Finite__Set_Ofinite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_254])]) ).
fof(f17633,plain,
! [X0] :
( class_Finite__Set_Ofinite(tc_Option_Ooption(X0))
| ~ class_Finite__Set_Ofinite(X0) ),
inference(cnf_transformation,[],[f10403]) ).
fof(f10403,plain,
! [X0] :
( class_Finite__Set_Ofinite(tc_Option_Ooption(X0))
| ~ class_Finite__Set_Ofinite(X0) ),
inference(ennf_transformation,[],[f5581]) ).
fof(f5581,plain,
! [X0] :
( class_Finite__Set_Ofinite(X0)
=> class_Finite__Set_Ofinite(tc_Option_Ooption(X0)) ),
inference(rectify,[],[f5156]) ).
fof(f5156,axiom,
! [X278] :
( class_Finite__Set_Ofinite(X278)
=> class_Finite__Set_Ofinite(tc_Option_Ooption(X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30555,plain,
spl670_253,
inference(avatar_split_clause,[],[f17628,f30553]) ).
fof(f30553,plain,
( spl670_253
<=> ! [X0] :
( class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(X0))
| ~ class_Lazy__Sequence_Osmall__lazy(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_253])]) ).
fof(f17628,plain,
! [X0] :
( class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(X0))
| ~ class_Lazy__Sequence_Osmall__lazy(X0) ),
inference(cnf_transformation,[],[f10398]) ).
fof(f10398,plain,
! [X0] :
( class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(X0))
| ~ class_Lazy__Sequence_Osmall__lazy(X0) ),
inference(ennf_transformation,[],[f5576]) ).
fof(f5576,plain,
! [X0] :
( class_Lazy__Sequence_Osmall__lazy(X0)
=> class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(X0)) ),
inference(rectify,[],[f5149]) ).
fof(f5149,axiom,
! [X278] :
( class_Lazy__Sequence_Osmall__lazy(X278)
=> class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(X278)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30551,plain,
spl670_252,
inference(avatar_split_clause,[],[f17311,f30549]) ).
fof(f30549,plain,
( spl670_252
<=> ! [X0] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_252])]) ).
fof(f17311,plain,
! [X0] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X0),
inference(cnf_transformation,[],[f5272]) ).
fof(f5272,plain,
! [X0] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X0),
inference(rectify,[],[f3208]) ).
fof(f3208,axiom,
! [X59] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X59),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30547,plain,
spl670_251,
inference(avatar_split_clause,[],[f17310,f30545]) ).
fof(f30545,plain,
( spl670_251
<=> ! [X0] : c_Relation_Osingle__valued(X0,X0,c_Relation_OId(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_251])]) ).
fof(f17310,plain,
! [X0] : c_Relation_Osingle__valued(X0,X0,c_Relation_OId(X0)),
inference(cnf_transformation,[],[f5271]) ).
fof(f5271,plain,
! [X0] : c_Relation_Osingle__valued(X0,X0,c_Relation_OId(X0)),
inference(rectify,[],[f3696]) ).
fof(f3696,axiom,
! [X5] : c_Relation_Osingle__valued(X5,X5,c_Relation_OId(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30543,plain,
spl670_250,
inference(avatar_split_clause,[],[f17309,f30541]) ).
fof(f30541,plain,
( spl670_250
<=> ! [X0] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_250])]) ).
fof(f17309,plain,
! [X0] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),
inference(cnf_transformation,[],[f5270]) ).
fof(f5270,plain,
! [X0] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),
inference(rectify,[],[f1985]) ).
fof(f1985,axiom,
! [X29] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30539,plain,
spl670_249,
inference(avatar_split_clause,[],[f17305,f30537]) ).
fof(f30537,plain,
( spl670_249
<=> ! [X0] : hAPP(c_Nat_OSuc,X0) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl670_249])]) ).
fof(f17305,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f5266]) ).
fof(f5266,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(rectify,[],[f1028]) ).
fof(f1028,axiom,
! [X66] : hAPP(c_Nat_OSuc,X66) != X66,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30535,plain,
spl670_248,
inference(avatar_split_clause,[],[f17181,f30532]) ).
fof(f30532,plain,
( spl670_248
<=> c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_248])]) ).
fof(f17181,plain,
c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
inference(cnf_transformation,[],[f3255]) ).
fof(f3255,axiom,
c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30530,plain,
spl670_247,
inference(avatar_split_clause,[],[f17180,f30527]) ).
fof(f30527,plain,
( spl670_247
<=> c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_247])]) ).
fof(f17180,plain,
c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))),
inference(cnf_transformation,[],[f1996]) ).
fof(f1996,axiom,
c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30525,plain,
spl670_246,
inference(avatar_split_clause,[],[f17177,f30522]) ).
fof(f30522,plain,
( spl670_246
<=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_HOL_Obool_Obool__size(c_fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_246])]) ).
fof(f30520,plain,
spl670_245,
inference(avatar_split_clause,[],[f17175,f30517]) ).
fof(f30517,plain,
( spl670_245
<=> c_Orderings_Oord__class_Omin(tc_Nat_Onat) = c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_245])]) ).
fof(f17175,plain,
c_Orderings_Oord__class_Omin(tc_Nat_Onat) = c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),
inference(cnf_transformation,[],[f2431]) ).
fof(f2431,axiom,
c_Orderings_Oord__class_Omin(tc_Nat_Onat) = c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30515,plain,
spl670_244,
inference(avatar_split_clause,[],[f17174,f30512]) ).
fof(f30512,plain,
( spl670_244
<=> c_Orderings_Oord__class_Omax(tc_Nat_Onat) = c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_244])]) ).
fof(f17174,plain,
c_Orderings_Oord__class_Omax(tc_Nat_Onat) = c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),
inference(cnf_transformation,[],[f2542]) ).
fof(f2542,axiom,
c_Orderings_Oord__class_Omax(tc_Nat_Onat) = c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30510,plain,
spl670_243,
inference(avatar_split_clause,[],[f17173,f30507]) ).
fof(f30507,plain,
( spl670_243
<=> c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_243])]) ).
fof(f17173,plain,
c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint),
inference(cnf_transformation,[],[f3439]) ).
fof(f3439,axiom,
c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30505,plain,
spl670_242,
inference(avatar_split_clause,[],[f17171,f30502]) ).
fof(f30502,plain,
( spl670_242
<=> c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_242])]) ).
fof(f17171,plain,
c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
inference(cnf_transformation,[],[f3585]) ).
fof(f3585,axiom,
c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30500,plain,
~ spl670_241,
inference(avatar_split_clause,[],[f17169,f30497]) ).
fof(f30497,plain,
( spl670_241
<=> hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_241])]) ).
fof(f17169,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(cnf_transformation,[],[f1790]) ).
fof(f1790,axiom,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30494,plain,
spl670_240,
inference(avatar_split_clause,[],[f27523,f30491]) ).
fof(f30491,plain,
( spl670_240
<=> sP7(c_HOL_Obool_Obool__size(c_fTrue),c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_240])]) ).
fof(f27523,plain,
sP7(c_HOL_Obool_Obool__size(c_fTrue),c_Int_OPls),
inference(forward_demodulation,[],[f27522,f25969]) ).
fof(f25969,plain,
c_Int_OPls = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f25968,f17167]) ).
fof(f25968,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_HOL_Obool_Obool__size(c_fTrue)),
inference(forward_demodulation,[],[f17229,f17177]) ).
fof(f17229,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(cnf_transformation,[],[f1650]) ).
fof(f1650,axiom,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27522,plain,
sP7(c_HOL_Obool_Obool__size(c_fTrue),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_HOL_Obool_Obool__size(c_fTrue))),
inference(forward_demodulation,[],[f25389,f17177]) ).
fof(f25389,plain,
sP7(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(equality_resolution,[],[f25388]) ).
fof(f25388,plain,
! [X1] :
( sP7(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
| hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ),
inference(equality_resolution,[],[f19200]) ).
fof(f19200,plain,
! [X0,X1] :
( sP7(X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1 ),
inference(cnf_transformation,[],[f15006]) ).
fof(f15006,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
& ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
| ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) )
& ( ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) )
| ~ sP7(X0,X1) ) ),
inference(rectify,[],[f15005]) ).
fof(f15005,plain,
! [X1,X0] :
( ( sP7(X1,X0)
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1
& ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
| ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) != X0
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) )
& ( ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = X0
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) )
| ~ sP7(X1,X0) ) ),
inference(flattening,[],[f15004]) ).
fof(f15004,plain,
! [X1,X0] :
( ( sP7(X1,X0)
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1
& ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
| ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) != X0
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) )
& ( ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = X0
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ) )
| ~ sP7(X1,X0) ) ),
inference(nnf_transformation,[],[f14475]) ).
fof(f30489,plain,
spl670_239,
inference(avatar_split_clause,[],[f27515,f30486]) ).
fof(f30486,plain,
( spl670_239
<=> sP6(c_HOL_Obool_Obool__size(c_fTrue),c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_239])]) ).
fof(f27515,plain,
sP6(c_HOL_Obool_Obool__size(c_fTrue),c_Int_OPls),
inference(forward_demodulation,[],[f27514,f25969]) ).
fof(f27514,plain,
sP6(c_HOL_Obool_Obool__size(c_fTrue),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_HOL_Obool_Obool__size(c_fTrue))),
inference(forward_demodulation,[],[f25384,f17177]) ).
fof(f25384,plain,
sP6(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(equality_resolution,[],[f25383]) ).
fof(f25383,plain,
! [X1] :
( sP6(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
| hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 ),
inference(equality_resolution,[],[f19192]) ).
fof(f19192,plain,
! [X0,X1] :
( sP6(X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
| hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1 ),
inference(cnf_transformation,[],[f15002]) ).
fof(f15002,plain,
! [X0,X1] :
( ( sP6(X0,X1)
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
& ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
| ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) )
& ( ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) )
| ~ sP6(X0,X1) ) ),
inference(flattening,[],[f15001]) ).
fof(f15001,plain,
! [X0,X1] :
( ( sP6(X0,X1)
| ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0
& ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
| ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) )
& ( ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ) )
| ~ sP6(X0,X1) ) ),
inference(nnf_transformation,[],[f14473]) ).
fof(f30484,plain,
~ spl670_238,
inference(avatar_split_clause,[],[f25937,f30481]) ).
fof(f30481,plain,
( spl670_238
<=> hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_238])]) ).
fof(f25937,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)),
inference(forward_demodulation,[],[f17170,f17167]) ).
fof(f17170,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(cnf_transformation,[],[f1789]) ).
fof(f1789,axiom,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30479,plain,
~ spl670_237,
inference(avatar_split_clause,[],[f25936,f30476]) ).
fof(f30476,plain,
( spl670_237
<=> c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OPls ),
introduced(avatar_definition,[new_symbols(naming,[spl670_237])]) ).
fof(f25936,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Int_OPls,
inference(forward_demodulation,[],[f17168,f17167]) ).
fof(f17168,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(cnf_transformation,[],[f1597]) ).
fof(f1597,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30474,plain,
spl670_236,
inference(avatar_split_clause,[],[f25354,f30472]) ).
fof(f30472,plain,
( spl670_236
<=> ! [X0] : sP0(X0,c_List_Olist_ONil(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_236])]) ).
fof(f25354,plain,
! [X0] : sP0(X0,c_List_Olist_ONil(X0)),
inference(equality_resolution,[],[f18669]) ).
fof(f18669,plain,
! [X0,X1] :
( sP0(X0,X1)
| c_List_Olist_ONil(X0) != X1 ),
inference(cnf_transformation,[],[f14800]) ).
fof(f14800,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ! [X2,X3] :
( ~ c_List_Olinorder__class_Osorted(X0,X2)
| ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),X3),sK127(X0,X2,X3)))
& hBOOL(hAPP(hAPP(c_member(X0),sK127(X0,X2,X3)),hAPP(c_List_Oset(X0),X2))) )
| hAPP(hAPP(c_List_Olist_OCons(X0),X3),X2) != X1 )
& c_List_Olist_ONil(X0) != X1 ) )
& ( ( c_List_Olinorder__class_Osorted(X0,sK128(X0,X1))
& ! [X7] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),sK129(X0,X1)),X7))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X7),hAPP(c_List_Oset(X0),sK128(X0,X1)))) )
& hAPP(hAPP(c_List_Olist_OCons(X0),sK129(X0,X1)),sK128(X0,X1)) = X1 )
| c_List_Olist_ONil(X0) = X1
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK127,sK128,sK129])],[f14797,f14799,f14798]) ).
fof(f14798,plain,
! [X0,X2,X3] :
( ? [X4] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),X3),X4))
& hBOOL(hAPP(hAPP(c_member(X0),X4),hAPP(c_List_Oset(X0),X2))) )
=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),X3),sK127(X0,X2,X3)))
& hBOOL(hAPP(hAPP(c_member(X0),sK127(X0,X2,X3)),hAPP(c_List_Oset(X0),X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f14799,plain,
! [X0,X1] :
( ? [X5,X6] :
( c_List_Olinorder__class_Osorted(X0,X5)
& ! [X7] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),X6),X7))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X7),hAPP(c_List_Oset(X0),X5))) )
& hAPP(hAPP(c_List_Olist_OCons(X0),X6),X5) = X1 )
=> ( c_List_Olinorder__class_Osorted(X0,sK128(X0,X1))
& ! [X7] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),sK129(X0,X1)),X7))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X7),hAPP(c_List_Oset(X0),sK128(X0,X1)))) )
& hAPP(hAPP(c_List_Olist_OCons(X0),sK129(X0,X1)),sK128(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f14797,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ! [X2,X3] :
( ~ c_List_Olinorder__class_Osorted(X0,X2)
| ? [X4] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),X3),X4))
& hBOOL(hAPP(hAPP(c_member(X0),X4),hAPP(c_List_Oset(X0),X2))) )
| hAPP(hAPP(c_List_Olist_OCons(X0),X3),X2) != X1 )
& c_List_Olist_ONil(X0) != X1 ) )
& ( ? [X5,X6] :
( c_List_Olinorder__class_Osorted(X0,X5)
& ! [X7] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X0),X6),X7))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X7),hAPP(c_List_Oset(X0),X5))) )
& hAPP(hAPP(c_List_Olist_OCons(X0),X6),X5) = X1 )
| c_List_Olist_ONil(X0) = X1
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f14796]) ).
fof(f14796,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ! [X2,X3] :
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| ? [X4] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))
& hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2))) )
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) != X0 )
& c_List_Olist_ONil(X1) != X0 ) )
& ( ? [X2,X3] :
( c_List_Olinorder__class_Osorted(X1,X2)
& ! [X4] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2))) )
& hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) = X0 )
| c_List_Olist_ONil(X1) = X0
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f14795]) ).
fof(f14795,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ! [X2,X3] :
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| ? [X4] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))
& hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2))) )
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) != X0 )
& c_List_Olist_ONil(X1) != X0 ) )
& ( ? [X2,X3] :
( c_List_Olinorder__class_Osorted(X1,X2)
& ! [X4] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X2))) )
& hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2) = X0 )
| c_List_Olist_ONil(X1) = X0
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f14462]) ).
fof(f30470,plain,
spl670_235,
inference(avatar_split_clause,[],[f17835,f30468]) ).
fof(f30468,plain,
( spl670_235
<=> ! [X0,X1] : class_HOL_Oequal(tc_prod(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_235])]) ).
fof(f17835,plain,
! [X0,X1] : class_HOL_Oequal(tc_prod(X1,X0)),
inference(cnf_transformation,[],[f5706]) ).
fof(f5706,plain,
! [X0,X1] : class_HOL_Oequal(tc_prod(X1,X0)),
inference(rectify,[],[f5164]) ).
fof(f5164,axiom,
! [X278,X277] : class_HOL_Oequal(tc_prod(X277,X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30466,plain,
spl670_234,
inference(avatar_split_clause,[],[f17834,f30464]) ).
fof(f30464,plain,
( spl670_234
<=> ! [X0,X1] : class_HOL_Oequal(tc_sum(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_234])]) ).
fof(f17834,plain,
! [X0,X1] : class_HOL_Oequal(tc_sum(X1,X0)),
inference(cnf_transformation,[],[f5705]) ).
fof(f5705,plain,
! [X0,X1] : class_HOL_Oequal(tc_sum(X1,X0)),
inference(rectify,[],[f5153]) ).
fof(f5153,axiom,
! [X278,X277] : class_HOL_Oequal(tc_sum(X277,X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30462,plain,
spl670_233,
inference(avatar_split_clause,[],[f17833,f30460]) ).
fof(f30460,plain,
( spl670_233
<=> ! [X0,X1] : class_HOL_Oequal(tc_Nitpick_Opair__box(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_233])]) ).
fof(f17833,plain,
! [X0,X1] : class_HOL_Oequal(tc_Nitpick_Opair__box(X1,X0)),
inference(cnf_transformation,[],[f5704]) ).
fof(f5704,plain,
! [X0,X1] : class_HOL_Oequal(tc_Nitpick_Opair__box(X1,X0)),
inference(rectify,[],[f5160]) ).
fof(f5160,axiom,
! [X278,X277] : class_HOL_Oequal(tc_Nitpick_Opair__box(X277,X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30458,plain,
spl670_232,
inference(avatar_split_clause,[],[f17832,f30456]) ).
fof(f30456,plain,
( spl670_232
<=> ! [X0,X1] : class_Nat_Osize(tc_prod(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_232])]) ).
fof(f17832,plain,
! [X0,X1] : class_Nat_Osize(tc_prod(X1,X0)),
inference(cnf_transformation,[],[f5703]) ).
fof(f5703,plain,
! [X0,X1] : class_Nat_Osize(tc_prod(X1,X0)),
inference(rectify,[],[f5166]) ).
fof(f5166,axiom,
! [X278,X277] : class_Nat_Osize(tc_prod(X277,X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30454,plain,
spl670_231,
inference(avatar_split_clause,[],[f17831,f30452]) ).
fof(f30452,plain,
( spl670_231
<=> ! [X0,X1] : class_Nat_Osize(tc_sum(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_231])]) ).
fof(f17831,plain,
! [X0,X1] : class_Nat_Osize(tc_sum(X1,X0)),
inference(cnf_transformation,[],[f5702]) ).
fof(f5702,plain,
! [X0,X1] : class_Nat_Osize(tc_sum(X1,X0)),
inference(rectify,[],[f5155]) ).
fof(f5155,axiom,
! [X278,X277] : class_Nat_Osize(tc_sum(X277,X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30450,plain,
spl670_230,
inference(avatar_split_clause,[],[f17830,f30448]) ).
fof(f30448,plain,
( spl670_230
<=> ! [X0,X1] : class_Nat_Osize(tc_Nitpick_Opair__box(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_230])]) ).
fof(f17830,plain,
! [X0,X1] : class_Nat_Osize(tc_Nitpick_Opair__box(X1,X0)),
inference(cnf_transformation,[],[f5701]) ).
fof(f5701,plain,
! [X0,X1] : class_Nat_Osize(tc_Nitpick_Opair__box(X1,X0)),
inference(rectify,[],[f5161]) ).
fof(f5161,axiom,
! [X278,X277] : class_Nat_Osize(tc_Nitpick_Opair__box(X277,X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30446,plain,
spl670_229,
inference(avatar_split_clause,[],[f17302,f30444]) ).
fof(f30444,plain,
( spl670_229
<=> ! [X0] : c_Relation_Otrans(X0,c_Relation_OId(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_229])]) ).
fof(f17302,plain,
! [X0] : c_Relation_Otrans(X0,c_Relation_OId(X0)),
inference(cnf_transformation,[],[f5263]) ).
fof(f5263,plain,
! [X0] : c_Relation_Otrans(X0,c_Relation_OId(X0)),
inference(rectify,[],[f4752]) ).
fof(f4752,axiom,
! [X5] : c_Relation_Otrans(X5,c_Relation_OId(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30442,plain,
spl670_228,
inference(avatar_split_clause,[],[f17301,f30440]) ).
fof(f30440,plain,
( spl670_228
<=> ! [X0] : c_Relation_Osym(X0,c_Relation_OId(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_228])]) ).
fof(f17301,plain,
! [X0] : c_Relation_Osym(X0,c_Relation_OId(X0)),
inference(cnf_transformation,[],[f5262]) ).
fof(f5262,plain,
! [X0] : c_Relation_Osym(X0,c_Relation_OId(X0)),
inference(rectify,[],[f4794]) ).
fof(f4794,axiom,
! [X5] : c_Relation_Osym(X5,c_Relation_OId(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30438,plain,
spl670_227,
inference(avatar_split_clause,[],[f17300,f30436]) ).
fof(f30436,plain,
( spl670_227
<=> ! [X0] : c_Relation_Oantisym(X0,c_Relation_OId(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_227])]) ).
fof(f17300,plain,
! [X0] : c_Relation_Oantisym(X0,c_Relation_OId(X0)),
inference(cnf_transformation,[],[f5261]) ).
fof(f5261,plain,
! [X0] : c_Relation_Oantisym(X0,c_Relation_OId(X0)),
inference(rectify,[],[f4777]) ).
fof(f4777,axiom,
! [X5] : c_Relation_Oantisym(X5,c_Relation_OId(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30434,plain,
spl670_226,
inference(avatar_split_clause,[],[f17294,f30432]) ).
fof(f30432,plain,
( spl670_226
<=> ! [X0] : c_Int_OMin != c_Int_OBit0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_226])]) ).
fof(f17294,plain,
! [X0] : c_Int_OMin != c_Int_OBit0(X0),
inference(cnf_transformation,[],[f5255]) ).
fof(f5255,plain,
! [X0] : c_Int_OMin != c_Int_OBit0(X0),
inference(rectify,[],[f2237]) ).
fof(f2237,axiom,
! [X79] : c_Int_OMin != c_Int_OBit0(X79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30430,plain,
spl670_225,
inference(avatar_split_clause,[],[f17167,f30427]) ).
fof(f30427,plain,
( spl670_225
<=> c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls ),
introduced(avatar_definition,[new_symbols(naming,[spl670_225])]) ).
fof(f30425,plain,
spl670_224,
inference(avatar_split_clause,[],[f17166,f30422]) ).
fof(f30422,plain,
( spl670_224
<=> c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) = c_Code__Numeral_Osubtract__code__numeral ),
introduced(avatar_definition,[new_symbols(naming,[spl670_224])]) ).
fof(f17166,plain,
c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) = c_Code__Numeral_Osubtract__code__numeral,
inference(cnf_transformation,[],[f2380]) ).
fof(f2380,axiom,
c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) = c_Code__Numeral_Osubtract__code__numeral,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30420,plain,
spl670_223,
inference(avatar_split_clause,[],[f17165,f30417]) ).
fof(f30417,plain,
( spl670_223
<=> c_Int_OPls = c_Int_OBit0(c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_223])]) ).
fof(f17165,plain,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
inference(cnf_transformation,[],[f2228]) ).
fof(f2228,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30415,plain,
spl670_222,
inference(avatar_split_clause,[],[f17161,f30412]) ).
fof(f30412,plain,
( spl670_222
<=> c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_222])]) ).
fof(f17161,plain,
c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f4211]) ).
fof(f4211,axiom,
c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30410,plain,
spl670_221,
inference(avatar_split_clause,[],[f27578,f30408]) ).
fof(f30408,plain,
( spl670_221
<=> ! [X0] : sP10(X0,c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_221])]) ).
fof(f27578,plain,
! [X0] : sP10(X0,c_Int_OPls),
inference(forward_demodulation,[],[f25430,f17167]) ).
fof(f25430,plain,
! [X0] : sP10(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
inference(equality_resolution,[],[f19346]) ).
fof(f19346,plain,
! [X0,X1] :
( sP10(X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X1 ),
inference(cnf_transformation,[],[f15121]) ).
fof(f15121,plain,
! [X0,X1] :
( ( sP10(X0,X1)
| ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
& c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X1 ) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
| ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) )
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X1
| ~ sP10(X0,X1) ) ),
inference(rectify,[],[f15120]) ).
fof(f15120,plain,
! [X1,X0] :
( ( sP10(X1,X0)
| ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X0 ) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
| ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X0
| ~ sP10(X1,X0) ) ),
inference(flattening,[],[f15119]) ).
fof(f15119,plain,
! [X1,X0] :
( ( sP10(X1,X0)
| ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
& c_Groups_Ozero__class_Ozero(tc_Int_Oint) != X0 ) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
| ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X0
| ~ sP10(X1,X0) ) ),
inference(nnf_transformation,[],[f14481]) ).
fof(f14481,plain,
! [X1,X0] :
( sP10(X1,X0)
<=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X0),X1))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
| ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) )
| c_Groups_Ozero__class_Ozero(tc_Int_Oint) = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f30406,plain,
spl670_220,
inference(avatar_split_clause,[],[f27571,f30403]) ).
fof(f30403,plain,
( spl670_220
<=> sP9(c_Int_OMin,c_Int_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_220])]) ).
fof(f27571,plain,
sP9(c_Int_OMin,c_Int_OMin),
inference(forward_demodulation,[],[f25423,f17325]) ).
fof(f25423,plain,
sP9(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),
inference(equality_resolution,[],[f25422]) ).
fof(f25422,plain,
! [X1] :
( sP9(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),X1)
| hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X1 ),
inference(equality_resolution,[],[f19333]) ).
fof(f19333,plain,
! [X0,X1] :
( sP9(X0,X1)
| hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X0
| hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) != X1 ),
inference(cnf_transformation,[],[f15113]) ).
fof(f30401,plain,
spl670_219,
inference(avatar_split_clause,[],[f17827,f30399]) ).
fof(f30399,plain,
( spl670_219
<=> ! [X0,X1] : c_FunDef_Ois__measure(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_219])]) ).
fof(f17827,plain,
! [X0,X1] : c_FunDef_Ois__measure(X1,X0),
inference(cnf_transformation,[],[f5698]) ).
fof(f5698,plain,
! [X0,X1] : c_FunDef_Ois__measure(X1,X0),
inference(rectify,[],[f4609]) ).
fof(f4609,axiom,
! [X17,X5] : c_FunDef_Ois__measure(X5,X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30397,plain,
spl670_218,
inference(avatar_split_clause,[],[f17293,f30395]) ).
fof(f30395,plain,
( spl670_218
<=> ! [X0] : c_Equiv__Relations_Oequivp(X0,c_fequal) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_218])]) ).
fof(f17293,plain,
! [X0] : c_Equiv__Relations_Oequivp(X0,c_fequal),
inference(cnf_transformation,[],[f5254]) ).
fof(f5254,plain,
! [X0] : c_Equiv__Relations_Oequivp(X0,c_fequal),
inference(rectify,[],[f3149]) ).
fof(f3149,axiom,
! [X5] : c_Equiv__Relations_Oequivp(X5,c_fequal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30393,plain,
spl670_217,
inference(avatar_split_clause,[],[f17292,f30391]) ).
fof(f30391,plain,
( spl670_217
<=> ! [X0] : class_HOL_Oequal(tc_List_Olist(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_217])]) ).
fof(f17292,plain,
! [X0] : class_HOL_Oequal(tc_List_Olist(X0)),
inference(cnf_transformation,[],[f5253]) ).
fof(f5253,plain,
! [X0] : class_HOL_Oequal(tc_List_Olist(X0)),
inference(rectify,[],[f5150]) ).
fof(f5150,axiom,
! [X278] : class_HOL_Oequal(tc_List_Olist(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30389,plain,
spl670_216,
inference(avatar_split_clause,[],[f17291,f30387]) ).
fof(f30387,plain,
( spl670_216
<=> ! [X0] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_216])]) ).
fof(f17291,plain,
! [X0] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(X0)),
inference(cnf_transformation,[],[f5252]) ).
fof(f5252,plain,
! [X0] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(X0)),
inference(rectify,[],[f5219]) ).
fof(f5219,axiom,
! [X278] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30385,plain,
spl670_215,
inference(avatar_split_clause,[],[f17290,f30383]) ).
fof(f30383,plain,
( spl670_215
<=> ! [X0] : class_HOL_Oequal(tc_Option_Ooption(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_215])]) ).
fof(f17290,plain,
! [X0] : class_HOL_Oequal(tc_Option_Ooption(X0)),
inference(cnf_transformation,[],[f5251]) ).
fof(f5251,plain,
! [X0] : class_HOL_Oequal(tc_Option_Ooption(X0)),
inference(rectify,[],[f5157]) ).
fof(f5157,axiom,
! [X278] : class_HOL_Oequal(tc_Option_Ooption(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30381,plain,
spl670_214,
inference(avatar_split_clause,[],[f17289,f30379]) ).
fof(f30379,plain,
( spl670_214
<=> ! [X0] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_214])]) ).
fof(f17289,plain,
! [X0] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(X0)),
inference(cnf_transformation,[],[f5250]) ).
fof(f5250,plain,
! [X0] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(X0)),
inference(rectify,[],[f5174]) ).
fof(f5174,axiom,
! [X278] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30377,plain,
spl670_213,
inference(avatar_split_clause,[],[f17288,f30375]) ).
fof(f30375,plain,
( spl670_213
<=> ! [X0] : class_Nat_Osize(tc_List_Olist(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_213])]) ).
fof(f17288,plain,
! [X0] : class_Nat_Osize(tc_List_Olist(X0)),
inference(cnf_transformation,[],[f5249]) ).
fof(f5249,plain,
! [X0] : class_Nat_Osize(tc_List_Olist(X0)),
inference(rectify,[],[f5151]) ).
fof(f5151,axiom,
! [X278] : class_Nat_Osize(tc_List_Olist(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30373,plain,
spl670_212,
inference(avatar_split_clause,[],[f17287,f30371]) ).
fof(f30371,plain,
( spl670_212
<=> ! [X0] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_212])]) ).
fof(f17287,plain,
! [X0] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(X0)),
inference(cnf_transformation,[],[f5248]) ).
fof(f5248,plain,
! [X0] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(X0)),
inference(rectify,[],[f5220]) ).
fof(f5220,axiom,
! [X278] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30369,plain,
spl670_211,
inference(avatar_split_clause,[],[f17286,f30367]) ).
fof(f30367,plain,
( spl670_211
<=> ! [X0] : class_Nat_Osize(tc_Option_Ooption(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_211])]) ).
fof(f17286,plain,
! [X0] : class_Nat_Osize(tc_Option_Ooption(X0)),
inference(cnf_transformation,[],[f5247]) ).
fof(f5247,plain,
! [X0] : class_Nat_Osize(tc_Option_Ooption(X0)),
inference(rectify,[],[f5159]) ).
fof(f5159,axiom,
! [X278] : class_Nat_Osize(tc_Option_Ooption(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30365,plain,
spl670_210,
inference(avatar_split_clause,[],[f17285,f30363]) ).
fof(f30363,plain,
( spl670_210
<=> ! [X0] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_210])]) ).
fof(f17285,plain,
! [X0] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(X0)),
inference(cnf_transformation,[],[f5246]) ).
fof(f5246,plain,
! [X0] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(X0)),
inference(rectify,[],[f5175]) ).
fof(f5175,axiom,
! [X278] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(X278)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30361,plain,
spl670_209,
inference(avatar_split_clause,[],[f17160,f30358]) ).
fof(f30358,plain,
( spl670_209
<=> c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_209])]) ).
fof(f17160,plain,
c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
inference(cnf_transformation,[],[f3241]) ).
fof(f3241,axiom,
c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30356,plain,
spl670_208,
inference(avatar_split_clause,[],[f17159,f30353]) ).
fof(f30353,plain,
( spl670_208
<=> c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_208])]) ).
fof(f17159,plain,
c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
inference(cnf_transformation,[],[f3282]) ).
fof(f3282,axiom,
c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30351,plain,
spl670_207,
inference(avatar_split_clause,[],[f17158,f30348]) ).
fof(f30348,plain,
( spl670_207
<=> c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_207])]) ).
fof(f17158,plain,
c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
inference(cnf_transformation,[],[f4736]) ).
fof(f4736,axiom,
c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30346,plain,
( spl670_206
| ~ spl670_205 ),
inference(avatar_split_clause,[],[f30341,f30337,f30343]) ).
fof(f30343,plain,
( spl670_206
<=> c_Nat__Transfer_Ois__nat(c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_206])]) ).
fof(f30337,plain,
( spl670_205
<=> c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_205])]) ).
fof(f30341,plain,
( c_Nat__Transfer_Ois__nat(c_Int_OPls)
| ~ spl670_205 ),
inference(forward_demodulation,[],[f30339,f17167]) ).
fof(f30339,plain,
( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint))
| ~ spl670_205 ),
inference(avatar_component_clause,[],[f30337]) ).
fof(f30340,plain,
spl670_205,
inference(avatar_split_clause,[],[f17157,f30337]) ).
fof(f17157,plain,
c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
inference(cnf_transformation,[],[f1983]) ).
fof(f1983,axiom,
c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30335,plain,
spl670_204,
inference(avatar_split_clause,[],[f17156,f30332]) ).
fof(f30332,plain,
( spl670_204
<=> c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_204])]) ).
fof(f17156,plain,
c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)),
inference(cnf_transformation,[],[f1986]) ).
fof(f1986,axiom,
c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30330,plain,
~ spl670_203,
inference(avatar_split_clause,[],[f17154,f30327]) ).
fof(f30327,plain,
( spl670_203
<=> c_Int_OMin = c_Int_OPls ),
introduced(avatar_definition,[new_symbols(naming,[spl670_203])]) ).
fof(f17154,plain,
c_Int_OMin != c_Int_OPls,
inference(cnf_transformation,[],[f2053]) ).
fof(f2053,axiom,
c_Int_OMin != c_Int_OPls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30325,plain,
spl670_202,
inference(avatar_split_clause,[],[f17153,f30322]) ).
fof(f30322,plain,
( spl670_202
<=> hBOOL(c_fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_202])]) ).
fof(f17153,plain,
hBOOL(c_fTrue),
inference(cnf_transformation,[],[f5229]) ).
fof(f5229,axiom,
hBOOL(c_fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30320,plain,
spl670_201,
inference(avatar_split_clause,[],[f17152,f30317]) ).
fof(f30317,plain,
( spl670_201
<=> class_HOL_Oequal(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_201])]) ).
fof(f17152,plain,
class_HOL_Oequal(tc_HOL_Obool),
inference(cnf_transformation,[],[f5144]) ).
fof(f5144,axiom,
class_HOL_Oequal(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30315,plain,
spl670_200,
inference(avatar_split_clause,[],[f17151,f30312]) ).
fof(f30312,plain,
( spl670_200
<=> class_HOL_Oequal(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_200])]) ).
fof(f17151,plain,
class_HOL_Oequal(tc_Nat_Onat),
inference(cnf_transformation,[],[f5126]) ).
fof(f5126,axiom,
class_HOL_Oequal(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30310,plain,
spl670_199,
inference(avatar_split_clause,[],[f17150,f30307]) ).
fof(f30307,plain,
( spl670_199
<=> class_HOL_Oequal(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_199])]) ).
fof(f17150,plain,
class_HOL_Oequal(tc_Int_Oint),
inference(cnf_transformation,[],[f5077]) ).
fof(f5077,axiom,
class_HOL_Oequal(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30305,plain,
spl670_198,
inference(avatar_split_clause,[],[f17149,f30302]) ).
fof(f30302,plain,
( spl670_198
<=> class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_198])]) ).
fof(f17149,plain,
class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5217]) ).
fof(f5217,axiom,
class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30300,plain,
spl670_197,
inference(avatar_split_clause,[],[f17148,f30297]) ).
fof(f30297,plain,
( spl670_197
<=> class_HOL_Oequal(tc_Com_Ostate) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_197])]) ).
fof(f17148,plain,
class_HOL_Oequal(tc_Com_Ostate),
inference(cnf_transformation,[],[f5147]) ).
fof(f5147,axiom,
class_HOL_Oequal(tc_Com_Ostate),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30295,plain,
spl670_196,
inference(avatar_split_clause,[],[f17147,f30292]) ).
fof(f30292,plain,
( spl670_196
<=> class_HOL_Oequal(tc_Com_Ocom) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_196])]) ).
fof(f17147,plain,
class_HOL_Oequal(tc_Com_Ocom),
inference(cnf_transformation,[],[f5003]) ).
fof(f5003,axiom,
class_HOL_Oequal(tc_Com_Ocom),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30290,plain,
spl670_195,
inference(avatar_split_clause,[],[f17146,f30287]) ).
fof(f30287,plain,
( spl670_195
<=> class_HOL_Oequal(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_195])]) ).
fof(f17146,plain,
class_HOL_Oequal(tc_Product__Type_Ounit),
inference(cnf_transformation,[],[f5169]) ).
fof(f5169,axiom,
class_HOL_Oequal(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30285,plain,
spl670_194,
inference(avatar_split_clause,[],[f17145,f30282]) ).
fof(f30282,plain,
( spl670_194
<=> class_HOL_Oequal(tc_Code__Evaluation_Oterm) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_194])]) ).
fof(f17145,plain,
class_HOL_Oequal(tc_Code__Evaluation_Oterm),
inference(cnf_transformation,[],[f5172]) ).
fof(f5172,axiom,
class_HOL_Oequal(tc_Code__Evaluation_Oterm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30280,plain,
spl670_193,
inference(avatar_split_clause,[],[f17144,f30277]) ).
fof(f30277,plain,
( spl670_193
<=> class_Nat_Osize(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_193])]) ).
fof(f17144,plain,
class_Nat_Osize(tc_HOL_Obool),
inference(cnf_transformation,[],[f5146]) ).
fof(f5146,axiom,
class_Nat_Osize(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30275,plain,
spl670_192,
inference(avatar_split_clause,[],[f17143,f30272]) ).
fof(f30272,plain,
( spl670_192
<=> class_Nat_Osize(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_192])]) ).
fof(f17143,plain,
class_Nat_Osize(tc_Nat_Onat),
inference(cnf_transformation,[],[f5127]) ).
fof(f5127,axiom,
class_Nat_Osize(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30270,plain,
spl670_191,
inference(avatar_split_clause,[],[f17142,f30267]) ).
fof(f30267,plain,
( spl670_191
<=> class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_191])]) ).
fof(f17142,plain,
class_Nat_Osize(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5218]) ).
fof(f5218,axiom,
class_Nat_Osize(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30265,plain,
spl670_190,
inference(avatar_split_clause,[],[f17141,f30262]) ).
fof(f30262,plain,
( spl670_190
<=> class_Nat_Osize(tc_Com_Ostate) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_190])]) ).
fof(f17141,plain,
class_Nat_Osize(tc_Com_Ostate),
inference(cnf_transformation,[],[f5148]) ).
fof(f5148,axiom,
class_Nat_Osize(tc_Com_Ostate),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30260,plain,
spl670_189,
inference(avatar_split_clause,[],[f17140,f30257]) ).
fof(f30257,plain,
( spl670_189
<=> class_Nat_Osize(tc_Com_Ocom) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_189])]) ).
fof(f17140,plain,
class_Nat_Osize(tc_Com_Ocom),
inference(cnf_transformation,[],[f5004]) ).
fof(f5004,axiom,
class_Nat_Osize(tc_Com_Ocom),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30255,plain,
spl670_188,
inference(avatar_split_clause,[],[f17139,f30252]) ).
fof(f30252,plain,
( spl670_188
<=> class_Nat_Osize(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_188])]) ).
fof(f17139,plain,
class_Nat_Osize(tc_Product__Type_Ounit),
inference(cnf_transformation,[],[f5171]) ).
fof(f5171,axiom,
class_Nat_Osize(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30250,plain,
spl670_187,
inference(avatar_split_clause,[],[f17138,f30247]) ).
fof(f30247,plain,
( spl670_187
<=> class_Nat_Osize(tc_Code__Evaluation_Oterm) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_187])]) ).
fof(f17138,plain,
class_Nat_Osize(tc_Code__Evaluation_Oterm),
inference(cnf_transformation,[],[f5173]) ).
fof(f5173,axiom,
class_Nat_Osize(tc_Code__Evaluation_Oterm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30245,plain,
spl670_186,
inference(avatar_split_clause,[],[f17137,f30242]) ).
fof(f30242,plain,
( spl670_186
<=> class_Enum_Oenum(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_186])]) ).
fof(f17137,plain,
class_Enum_Oenum(tc_HOL_Obool),
inference(cnf_transformation,[],[f5145]) ).
fof(f5145,axiom,
class_Enum_Oenum(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30240,plain,
spl670_185,
inference(avatar_split_clause,[],[f17136,f30237]) ).
fof(f30237,plain,
( spl670_185
<=> class_Enum_Oenum(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_185])]) ).
fof(f17136,plain,
class_Enum_Oenum(tc_Product__Type_Ounit),
inference(cnf_transformation,[],[f5170]) ).
fof(f5170,axiom,
class_Enum_Oenum(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30235,plain,
spl670_184,
inference(avatar_split_clause,[],[f17135,f30232]) ).
fof(f30232,plain,
( spl670_184
<=> class_Finite__Set_Ofinite(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_184])]) ).
fof(f17135,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
inference(cnf_transformation,[],[f5136]) ).
fof(f5136,axiom,
class_Finite__Set_Ofinite(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30230,plain,
spl670_183,
inference(avatar_split_clause,[],[f17134,f30227]) ).
fof(f30227,plain,
( spl670_183
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_183])]) ).
fof(f17134,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
inference(cnf_transformation,[],[f5168]) ).
fof(f5168,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30225,plain,
spl670_182,
inference(avatar_split_clause,[],[f17133,f30222]) ).
fof(f30222,plain,
( spl670_182
<=> class_Orderings_Oorder(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_182])]) ).
fof(f17133,plain,
class_Orderings_Oorder(tc_HOL_Obool),
inference(cnf_transformation,[],[f5138]) ).
fof(f5138,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30220,plain,
spl670_181,
inference(avatar_split_clause,[],[f17132,f30217]) ).
fof(f30217,plain,
( spl670_181
<=> class_Orderings_Oorder(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_181])]) ).
fof(f17132,plain,
class_Orderings_Oorder(tc_Nat_Onat),
inference(cnf_transformation,[],[f5116]) ).
fof(f5116,axiom,
class_Orderings_Oorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30215,plain,
spl670_180,
inference(avatar_split_clause,[],[f17131,f30212]) ).
fof(f30212,plain,
( spl670_180
<=> class_Orderings_Oorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_180])]) ).
fof(f17131,plain,
class_Orderings_Oorder(tc_Int_Oint),
inference(cnf_transformation,[],[f5060]) ).
fof(f5060,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30210,plain,
spl670_179,
inference(avatar_split_clause,[],[f17130,f30207]) ).
fof(f30207,plain,
( spl670_179
<=> class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_179])]) ).
fof(f17130,plain,
class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5208]) ).
fof(f5208,axiom,
class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30205,plain,
spl670_178,
inference(avatar_split_clause,[],[f17129,f30202]) ).
fof(f30202,plain,
( spl670_178
<=> class_Orderings_Oord(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_178])]) ).
fof(f17129,plain,
class_Orderings_Oord(tc_HOL_Obool),
inference(cnf_transformation,[],[f5140]) ).
fof(f5140,axiom,
class_Orderings_Oord(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30200,plain,
spl670_177,
inference(avatar_split_clause,[],[f17128,f30197]) ).
fof(f30197,plain,
( spl670_177
<=> class_Orderings_Oord(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_177])]) ).
fof(f17128,plain,
class_Orderings_Oord(tc_Nat_Onat),
inference(cnf_transformation,[],[f5118]) ).
fof(f5118,axiom,
class_Orderings_Oord(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30195,plain,
spl670_176,
inference(avatar_split_clause,[],[f17127,f30192]) ).
fof(f30192,plain,
( spl670_176
<=> class_Orderings_Oord(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_176])]) ).
fof(f17127,plain,
class_Orderings_Oord(tc_Int_Oint),
inference(cnf_transformation,[],[f5064]) ).
fof(f5064,axiom,
class_Orderings_Oord(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30190,plain,
spl670_175,
inference(avatar_split_clause,[],[f17126,f30187]) ).
fof(f30187,plain,
( spl670_175
<=> class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_175])]) ).
fof(f17126,plain,
class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5210]) ).
fof(f5210,axiom,
class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30185,plain,
spl670_174,
inference(avatar_split_clause,[],[f17125,f30182]) ).
fof(f30182,plain,
( spl670_174
<=> class_Orderings_Opreorder(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_174])]) ).
fof(f17125,plain,
class_Orderings_Opreorder(tc_HOL_Obool),
inference(cnf_transformation,[],[f5135]) ).
fof(f5135,axiom,
class_Orderings_Opreorder(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30180,plain,
spl670_173,
inference(avatar_split_clause,[],[f17124,f30177]) ).
fof(f30177,plain,
( spl670_173
<=> class_Orderings_Opreorder(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_173])]) ).
fof(f17124,plain,
class_Orderings_Opreorder(tc_Nat_Onat),
inference(cnf_transformation,[],[f5108]) ).
fof(f5108,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30175,plain,
spl670_172,
inference(avatar_split_clause,[],[f17123,f30172]) ).
fof(f30172,plain,
( spl670_172
<=> class_Orderings_Opreorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_172])]) ).
fof(f17123,plain,
class_Orderings_Opreorder(tc_Int_Oint),
inference(cnf_transformation,[],[f5048]) ).
fof(f5048,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30170,plain,
spl670_171,
inference(avatar_split_clause,[],[f17122,f30167]) ).
fof(f30167,plain,
( spl670_171
<=> class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_171])]) ).
fof(f17122,plain,
class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5201]) ).
fof(f5201,axiom,
class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30165,plain,
spl670_170,
inference(avatar_split_clause,[],[f17121,f30162]) ).
fof(f30162,plain,
( spl670_170
<=> class_Groups_Ominus(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_170])]) ).
fof(f17121,plain,
class_Groups_Ominus(tc_HOL_Obool),
inference(cnf_transformation,[],[f5143]) ).
fof(f5143,axiom,
class_Groups_Ominus(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30160,plain,
spl670_169,
inference(avatar_split_clause,[],[f17120,f30157]) ).
fof(f30157,plain,
( spl670_169
<=> class_Groups_Ominus(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_169])]) ).
fof(f17120,plain,
class_Groups_Ominus(tc_Nat_Onat),
inference(cnf_transformation,[],[f5120]) ).
fof(f5120,axiom,
class_Groups_Ominus(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30155,plain,
spl670_168,
inference(avatar_split_clause,[],[f17119,f30152]) ).
fof(f30152,plain,
( spl670_168
<=> class_Groups_Ominus(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_168])]) ).
fof(f17119,plain,
class_Groups_Ominus(tc_Int_Oint),
inference(cnf_transformation,[],[f5069]) ).
fof(f5069,axiom,
class_Groups_Ominus(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30150,plain,
spl670_167,
inference(avatar_split_clause,[],[f17118,f30147]) ).
fof(f30147,plain,
( spl670_167
<=> class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_167])]) ).
fof(f17118,plain,
class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5211]) ).
fof(f5211,axiom,
class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30145,plain,
spl670_166,
inference(avatar_split_clause,[],[f17117,f30142]) ).
fof(f30142,plain,
( spl670_166
<=> class_Lattices_Olattice(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_166])]) ).
fof(f17117,plain,
class_Lattices_Olattice(tc_HOL_Obool),
inference(cnf_transformation,[],[f5137]) ).
fof(f5137,axiom,
class_Lattices_Olattice(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30140,plain,
spl670_165,
inference(avatar_split_clause,[],[f17116,f30137]) ).
fof(f30137,plain,
( spl670_165
<=> class_Lattices_Olattice(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_165])]) ).
fof(f17116,plain,
class_Lattices_Olattice(tc_Nat_Onat),
inference(cnf_transformation,[],[f5114]) ).
fof(f5114,axiom,
class_Lattices_Olattice(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30135,plain,
spl670_164,
inference(avatar_split_clause,[],[f17115,f30132]) ).
fof(f30132,plain,
( spl670_164
<=> class_Lattices_Olattice(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_164])]) ).
fof(f17115,plain,
class_Lattices_Olattice(tc_Int_Oint),
inference(cnf_transformation,[],[f5055]) ).
fof(f5055,axiom,
class_Lattices_Olattice(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30130,plain,
spl670_163,
inference(avatar_split_clause,[],[f17114,f30127]) ).
fof(f30127,plain,
( spl670_163
<=> class_Lattices_Osemilattice__inf(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_163])]) ).
fof(f17114,plain,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
inference(cnf_transformation,[],[f5132]) ).
fof(f5132,axiom,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30125,plain,
spl670_162,
inference(avatar_split_clause,[],[f17113,f30122]) ).
fof(f30122,plain,
( spl670_162
<=> class_Lattices_Osemilattice__inf(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_162])]) ).
fof(f17113,plain,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
inference(cnf_transformation,[],[f5093]) ).
fof(f5093,axiom,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30120,plain,
spl670_161,
inference(avatar_split_clause,[],[f17112,f30117]) ).
fof(f30117,plain,
( spl670_161
<=> class_Lattices_Osemilattice__inf(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_161])]) ).
fof(f17112,plain,
class_Lattices_Osemilattice__inf(tc_Int_Oint),
inference(cnf_transformation,[],[f5029]) ).
fof(f5029,axiom,
class_Lattices_Osemilattice__inf(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30115,plain,
spl670_160,
inference(avatar_split_clause,[],[f17111,f30112]) ).
fof(f30112,plain,
( spl670_160
<=> class_Lattices_Osemilattice__sup(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_160])]) ).
fof(f17111,plain,
class_Lattices_Osemilattice__sup(tc_HOL_Obool),
inference(cnf_transformation,[],[f5131]) ).
fof(f5131,axiom,
class_Lattices_Osemilattice__sup(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30110,plain,
spl670_159,
inference(avatar_split_clause,[],[f17110,f30107]) ).
fof(f30107,plain,
( spl670_159
<=> class_Lattices_Osemilattice__sup(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_159])]) ).
fof(f17110,plain,
class_Lattices_Osemilattice__sup(tc_Nat_Onat),
inference(cnf_transformation,[],[f5092]) ).
fof(f5092,axiom,
class_Lattices_Osemilattice__sup(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30105,plain,
spl670_158,
inference(avatar_split_clause,[],[f17109,f30102]) ).
fof(f30102,plain,
( spl670_158
<=> class_Lattices_Osemilattice__sup(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_158])]) ).
fof(f17109,plain,
class_Lattices_Osemilattice__sup(tc_Int_Oint),
inference(cnf_transformation,[],[f5028]) ).
fof(f5028,axiom,
class_Lattices_Osemilattice__sup(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30100,plain,
spl670_157,
inference(avatar_split_clause,[],[f17108,f30097]) ).
fof(f30097,plain,
( spl670_157
<=> class_Lattices_Odistrib__lattice(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_157])]) ).
fof(f17108,plain,
class_Lattices_Odistrib__lattice(tc_HOL_Obool),
inference(cnf_transformation,[],[f5133]) ).
fof(f5133,axiom,
class_Lattices_Odistrib__lattice(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30095,plain,
spl670_156,
inference(avatar_split_clause,[],[f17107,f30092]) ).
fof(f30092,plain,
( spl670_156
<=> class_Lattices_Odistrib__lattice(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_156])]) ).
fof(f17107,plain,
class_Lattices_Odistrib__lattice(tc_Nat_Onat),
inference(cnf_transformation,[],[f5094]) ).
fof(f5094,axiom,
class_Lattices_Odistrib__lattice(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30090,plain,
spl670_155,
inference(avatar_split_clause,[],[f17106,f30087]) ).
fof(f30087,plain,
( spl670_155
<=> class_Lattices_Odistrib__lattice(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_155])]) ).
fof(f17106,plain,
class_Lattices_Odistrib__lattice(tc_Int_Oint),
inference(cnf_transformation,[],[f5030]) ).
fof(f5030,axiom,
class_Lattices_Odistrib__lattice(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30085,plain,
spl670_154,
inference(avatar_split_clause,[],[f17105,f30082]) ).
fof(f30082,plain,
( spl670_154
<=> class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_154])]) ).
fof(f17105,plain,
class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint),
inference(cnf_transformation,[],[f5027]) ).
fof(f5027,axiom,
class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30080,plain,
spl670_153,
inference(avatar_split_clause,[],[f17104,f30077]) ).
fof(f30077,plain,
( spl670_153
<=> class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_153])]) ).
fof(f17104,plain,
class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit),
inference(cnf_transformation,[],[f5167]) ).
fof(f5167,axiom,
class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30075,plain,
spl670_152,
inference(avatar_split_clause,[],[f17103,f30072]) ).
fof(f30072,plain,
( spl670_152
<=> class_Orderings_Olinorder(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_152])]) ).
fof(f17103,plain,
class_Orderings_Olinorder(tc_Nat_Onat),
inference(cnf_transformation,[],[f5109]) ).
fof(f5109,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30070,plain,
spl670_151,
inference(avatar_split_clause,[],[f17102,f30067]) ).
fof(f30067,plain,
( spl670_151
<=> class_Orderings_Olinorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_151])]) ).
fof(f17102,plain,
class_Orderings_Olinorder(tc_Int_Oint),
inference(cnf_transformation,[],[f5049]) ).
fof(f5049,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30065,plain,
spl670_150,
inference(avatar_split_clause,[],[f17101,f30062]) ).
fof(f30062,plain,
( spl670_150
<=> class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_150])]) ).
fof(f17101,plain,
class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5202]) ).
fof(f5202,axiom,
class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30060,plain,
spl670_149,
inference(avatar_split_clause,[],[f17100,f30057]) ).
fof(f30057,plain,
( spl670_149
<=> class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_149])]) ).
fof(f17100,plain,
class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5100]) ).
fof(f5100,axiom,
class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30055,plain,
spl670_148,
inference(avatar_split_clause,[],[f17099,f30052]) ).
fof(f30052,plain,
( spl670_148
<=> class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_148])]) ).
fof(f17099,plain,
class_Groups_Ocomm__monoid__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5037]) ).
fof(f5037,axiom,
class_Groups_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30050,plain,
spl670_147,
inference(avatar_split_clause,[],[f17098,f30047]) ).
fof(f30047,plain,
( spl670_147
<=> class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_147])]) ).
fof(f17098,plain,
class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5194]) ).
fof(f5194,axiom,
class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30045,plain,
spl670_146,
inference(avatar_split_clause,[],[f17097,f30042]) ).
fof(f30042,plain,
( spl670_146
<=> class_Divides_Osemiring__div(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_146])]) ).
fof(f17097,plain,
class_Divides_Osemiring__div(tc_Nat_Onat),
inference(cnf_transformation,[],[f5103]) ).
fof(f5103,axiom,
class_Divides_Osemiring__div(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30040,plain,
spl670_145,
inference(avatar_split_clause,[],[f17096,f30037]) ).
fof(f30037,plain,
( spl670_145
<=> class_Divides_Osemiring__div(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_145])]) ).
fof(f17096,plain,
class_Divides_Osemiring__div(tc_Int_Oint),
inference(cnf_transformation,[],[f5042]) ).
fof(f5042,axiom,
class_Divides_Osemiring__div(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30035,plain,
spl670_144,
inference(avatar_split_clause,[],[f17095,f30032]) ).
fof(f30032,plain,
( spl670_144
<=> class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_144])]) ).
fof(f17095,plain,
class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5197]) ).
fof(f5197,axiom,
class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30030,plain,
spl670_143,
inference(avatar_split_clause,[],[f17094,f30027]) ).
fof(f30027,plain,
( spl670_143
<=> class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_143])]) ).
fof(f17094,plain,
class_Rings_Ocomm__semiring__1(tc_Nat_Onat),
inference(cnf_transformation,[],[f5101]) ).
fof(f5101,axiom,
class_Rings_Ocomm__semiring__1(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30025,plain,
spl670_142,
inference(avatar_split_clause,[],[f17093,f30022]) ).
fof(f30022,plain,
( spl670_142
<=> class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_142])]) ).
fof(f17093,plain,
class_Rings_Ocomm__semiring__1(tc_Int_Oint),
inference(cnf_transformation,[],[f5040]) ).
fof(f5040,axiom,
class_Rings_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30020,plain,
spl670_141,
inference(avatar_split_clause,[],[f17092,f30017]) ).
fof(f30017,plain,
( spl670_141
<=> class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_141])]) ).
fof(f17092,plain,
class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5195]) ).
fof(f5195,axiom,
class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30015,plain,
spl670_140,
inference(avatar_split_clause,[],[f17091,f30012]) ).
fof(f30012,plain,
( spl670_140
<=> class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_140])]) ).
fof(f17091,plain,
class_Groups_Ocomm__monoid__mult(tc_Nat_Onat),
inference(cnf_transformation,[],[f5096]) ).
fof(f5096,axiom,
class_Groups_Ocomm__monoid__mult(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30010,plain,
spl670_139,
inference(avatar_split_clause,[],[f17090,f30007]) ).
fof(f30007,plain,
( spl670_139
<=> class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_139])]) ).
fof(f17090,plain,
class_Groups_Ocomm__monoid__mult(tc_Int_Oint),
inference(cnf_transformation,[],[f5032]) ).
fof(f5032,axiom,
class_Groups_Ocomm__monoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30005,plain,
spl670_138,
inference(avatar_split_clause,[],[f17089,f30002]) ).
fof(f30002,plain,
( spl670_138
<=> class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_138])]) ).
fof(f17089,plain,
class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5190]) ).
fof(f5190,axiom,
class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30000,plain,
spl670_137,
inference(avatar_split_clause,[],[f17088,f29997]) ).
fof(f29997,plain,
( spl670_137
<=> class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_137])]) ).
fof(f17088,plain,
class_Rings_Olinordered__semidom(tc_Nat_Onat),
inference(cnf_transformation,[],[f5091]) ).
fof(f5091,axiom,
class_Rings_Olinordered__semidom(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29995,plain,
spl670_136,
inference(avatar_split_clause,[],[f17087,f29992]) ).
fof(f29992,plain,
( spl670_136
<=> class_Rings_Olinordered__semidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_136])]) ).
fof(f17087,plain,
class_Rings_Olinordered__semidom(tc_Int_Oint),
inference(cnf_transformation,[],[f5026]) ).
fof(f5026,axiom,
class_Rings_Olinordered__semidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29990,plain,
spl670_135,
inference(avatar_split_clause,[],[f17086,f29987]) ).
fof(f29987,plain,
( spl670_135
<=> class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_135])]) ).
fof(f17086,plain,
class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5188]) ).
fof(f5188,axiom,
class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29985,plain,
spl670_134,
inference(avatar_split_clause,[],[f17085,f29982]) ).
fof(f29982,plain,
( spl670_134
<=> class_Rings_Osemiring__1(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_134])]) ).
fof(f17085,plain,
class_Rings_Osemiring__1(tc_Nat_Onat),
inference(cnf_transformation,[],[f5112]) ).
fof(f5112,axiom,
class_Rings_Osemiring__1(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29980,plain,
spl670_133,
inference(avatar_split_clause,[],[f17084,f29977]) ).
fof(f29977,plain,
( spl670_133
<=> class_Rings_Osemiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_133])]) ).
fof(f17084,plain,
class_Rings_Osemiring__1(tc_Int_Oint),
inference(cnf_transformation,[],[f5053]) ).
fof(f5053,axiom,
class_Rings_Osemiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29975,plain,
spl670_132,
inference(avatar_split_clause,[],[f17083,f29972]) ).
fof(f29972,plain,
( spl670_132
<=> class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_132])]) ).
fof(f17083,plain,
class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5205]) ).
fof(f5205,axiom,
class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29970,plain,
spl670_131,
inference(avatar_split_clause,[],[f17082,f29967]) ).
fof(f29967,plain,
( spl670_131
<=> class_Int_Onumber(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_131])]) ).
fof(f17082,plain,
class_Int_Onumber(tc_Nat_Onat),
inference(cnf_transformation,[],[f5123]) ).
fof(f5123,axiom,
class_Int_Onumber(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29965,plain,
spl670_130,
inference(avatar_split_clause,[],[f17081,f29962]) ).
fof(f29962,plain,
( spl670_130
<=> class_Int_Onumber(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_130])]) ).
fof(f17081,plain,
class_Int_Onumber(tc_Int_Oint),
inference(cnf_transformation,[],[f5074]) ).
fof(f5074,axiom,
class_Int_Onumber(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29960,plain,
spl670_129,
inference(avatar_split_clause,[],[f17080,f29957]) ).
fof(f29957,plain,
( spl670_129
<=> class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_129])]) ).
fof(f17080,plain,
class_Int_Onumber(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5214]) ).
fof(f5214,axiom,
class_Int_Onumber(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29955,plain,
spl670_128,
inference(avatar_split_clause,[],[f17079,f29952]) ).
fof(f29952,plain,
( spl670_128
<=> class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_128])]) ).
fof(f17079,plain,
class_Rings_Olinordered__semiring__strict(tc_Nat_Onat),
inference(cnf_transformation,[],[f5083]) ).
fof(f5083,axiom,
class_Rings_Olinordered__semiring__strict(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29950,plain,
spl670_127,
inference(avatar_split_clause,[],[f17078,f29947]) ).
fof(f29947,plain,
( spl670_127
<=> class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_127])]) ).
fof(f17078,plain,
class_Rings_Olinordered__semiring__strict(tc_Int_Oint),
inference(cnf_transformation,[],[f5011]) ).
fof(f5011,axiom,
class_Rings_Olinordered__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29945,plain,
spl670_126,
inference(avatar_split_clause,[],[f17077,f29942]) ).
fof(f29942,plain,
( spl670_126
<=> class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_126])]) ).
fof(f17077,plain,
class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5180]) ).
fof(f5180,axiom,
class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29940,plain,
spl670_125,
inference(avatar_split_clause,[],[f17076,f29937]) ).
fof(f29937,plain,
( spl670_125
<=> class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_125])]) ).
fof(f17076,plain,
class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5085]) ).
fof(f5085,axiom,
class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29935,plain,
spl670_124,
inference(avatar_split_clause,[],[f17075,f29932]) ).
fof(f29932,plain,
( spl670_124
<=> class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_124])]) ).
fof(f17075,plain,
class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5014]) ).
fof(f5014,axiom,
class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29930,plain,
spl670_123,
inference(avatar_split_clause,[],[f17074,f29927]) ).
fof(f29927,plain,
( spl670_123
<=> class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_123])]) ).
fof(f17074,plain,
class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5182]) ).
fof(f5182,axiom,
class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29925,plain,
spl670_122,
inference(avatar_split_clause,[],[f17073,f29922]) ).
fof(f29922,plain,
( spl670_122
<=> class_Groups_Omonoid__mult(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_122])]) ).
fof(f17073,plain,
class_Groups_Omonoid__mult(tc_Nat_Onat),
inference(cnf_transformation,[],[f5110]) ).
fof(f5110,axiom,
class_Groups_Omonoid__mult(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29920,plain,
spl670_121,
inference(avatar_split_clause,[],[f17072,f29917]) ).
fof(f29917,plain,
( spl670_121
<=> class_Groups_Omonoid__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_121])]) ).
fof(f17072,plain,
class_Groups_Omonoid__mult(tc_Int_Oint),
inference(cnf_transformation,[],[f5050]) ).
fof(f5050,axiom,
class_Groups_Omonoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29915,plain,
spl670_120,
inference(avatar_split_clause,[],[f17071,f29912]) ).
fof(f29912,plain,
( spl670_120
<=> class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_120])]) ).
fof(f17071,plain,
class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5203]) ).
fof(f5203,axiom,
class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29910,plain,
spl670_119,
inference(avatar_split_clause,[],[f17070,f29907]) ).
fof(f29907,plain,
( spl670_119
<=> class_Groups_Omonoid__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_119])]) ).
fof(f17070,plain,
class_Groups_Omonoid__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5111]) ).
fof(f5111,axiom,
class_Groups_Omonoid__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29905,plain,
spl670_118,
inference(avatar_split_clause,[],[f17069,f29902]) ).
fof(f29902,plain,
( spl670_118
<=> class_Groups_Omonoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_118])]) ).
fof(f17069,plain,
class_Groups_Omonoid__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5052]) ).
fof(f5052,axiom,
class_Groups_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29900,plain,
spl670_117,
inference(avatar_split_clause,[],[f17068,f29897]) ).
fof(f29897,plain,
( spl670_117
<=> class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_117])]) ).
fof(f17068,plain,
class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5204]) ).
fof(f5204,axiom,
class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29895,plain,
spl670_116,
inference(avatar_split_clause,[],[f17067,f29892]) ).
fof(f29892,plain,
( spl670_116
<=> class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_116])]) ).
fof(f17067,plain,
class_Groups_Oab__semigroup__mult(tc_Nat_Onat),
inference(cnf_transformation,[],[f5095]) ).
fof(f5095,axiom,
class_Groups_Oab__semigroup__mult(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29890,plain,
spl670_115,
inference(avatar_split_clause,[],[f17066,f29887]) ).
fof(f29887,plain,
( spl670_115
<=> class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_115])]) ).
fof(f17066,plain,
class_Groups_Oab__semigroup__mult(tc_Int_Oint),
inference(cnf_transformation,[],[f5031]) ).
fof(f5031,axiom,
class_Groups_Oab__semigroup__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29885,plain,
spl670_114,
inference(avatar_split_clause,[],[f17065,f29882]) ).
fof(f29882,plain,
( spl670_114
<=> class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_114])]) ).
fof(f17065,plain,
class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5189]) ).
fof(f5189,axiom,
class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29880,plain,
spl670_113,
inference(avatar_split_clause,[],[f17064,f29877]) ).
fof(f29877,plain,
( spl670_113
<=> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_113])]) ).
fof(f17064,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat),
inference(cnf_transformation,[],[f5080]) ).
fof(f5080,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29875,plain,
spl670_112,
inference(avatar_split_clause,[],[f17063,f29872]) ).
fof(f29872,plain,
( spl670_112
<=> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_112])]) ).
fof(f17063,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint),
inference(cnf_transformation,[],[f5007]) ).
fof(f5007,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29870,plain,
spl670_111,
inference(avatar_split_clause,[],[f17062,f29867]) ).
fof(f29867,plain,
( spl670_111
<=> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_111])]) ).
fof(f17062,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5177]) ).
fof(f5177,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29865,plain,
spl670_110,
inference(avatar_split_clause,[],[f17061,f29862]) ).
fof(f29862,plain,
( spl670_110
<=> class_Rings_Osemiring__0(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_110])]) ).
fof(f17061,plain,
class_Rings_Osemiring__0(tc_Nat_Onat),
inference(cnf_transformation,[],[f5113]) ).
fof(f5113,axiom,
class_Rings_Osemiring__0(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29860,plain,
spl670_109,
inference(avatar_split_clause,[],[f17060,f29857]) ).
fof(f29857,plain,
( spl670_109
<=> class_Rings_Osemiring__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_109])]) ).
fof(f17060,plain,
class_Rings_Osemiring__0(tc_Int_Oint),
inference(cnf_transformation,[],[f5054]) ).
fof(f5054,axiom,
class_Rings_Osemiring__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29855,plain,
spl670_108,
inference(avatar_split_clause,[],[f17059,f29852]) ).
fof(f29852,plain,
( spl670_108
<=> class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_108])]) ).
fof(f17059,plain,
class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5206]) ).
fof(f5206,axiom,
class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29850,plain,
spl670_107,
inference(avatar_split_clause,[],[f17058,f29847]) ).
fof(f29847,plain,
( spl670_107
<=> class_Power_Opower(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_107])]) ).
fof(f17058,plain,
class_Power_Opower(tc_Nat_Onat),
inference(cnf_transformation,[],[f5121]) ).
fof(f5121,axiom,
class_Power_Opower(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29845,plain,
spl670_106,
inference(avatar_split_clause,[],[f17057,f29842]) ).
fof(f29842,plain,
( spl670_106
<=> class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_106])]) ).
fof(f17057,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5079]) ).
fof(f5079,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29840,plain,
spl670_105,
inference(avatar_split_clause,[],[f17056,f29837]) ).
fof(f29837,plain,
( spl670_105
<=> class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_105])]) ).
fof(f17056,plain,
class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5084]) ).
fof(f5084,axiom,
class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29835,plain,
spl670_104,
inference(avatar_split_clause,[],[f17055,f29832]) ).
fof(f29832,plain,
( spl670_104
<=> class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_104])]) ).
fof(f17055,plain,
class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5012]) ).
fof(f5012,axiom,
class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29830,plain,
spl670_103,
inference(avatar_split_clause,[],[f17054,f29827]) ).
fof(f29827,plain,
( spl670_103
<=> class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_103])]) ).
fof(f17054,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5006]) ).
fof(f5006,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29825,plain,
spl670_102,
inference(avatar_split_clause,[],[f17053,f29822]) ).
fof(f29822,plain,
( spl670_102
<=> class_Power_Opower(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_102])]) ).
fof(f17053,plain,
class_Power_Opower(tc_Int_Oint),
inference(cnf_transformation,[],[f5070]) ).
fof(f5070,axiom,
class_Power_Opower(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29820,plain,
spl670_101,
inference(avatar_split_clause,[],[f17052,f29817]) ).
fof(f29817,plain,
( spl670_101
<=> class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_101])]) ).
fof(f17052,plain,
class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5181]) ).
fof(f5181,axiom,
class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29815,plain,
spl670_100,
inference(avatar_split_clause,[],[f17051,f29812]) ).
fof(f29812,plain,
( spl670_100
<=> class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_100])]) ).
fof(f17051,plain,
class_Power_Opower(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5212]) ).
fof(f5212,axiom,
class_Power_Opower(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29810,plain,
spl670_99,
inference(avatar_split_clause,[],[f17050,f29807]) ).
fof(f29807,plain,
( spl670_99
<=> class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_99])]) ).
fof(f17050,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5176]) ).
fof(f5176,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29805,plain,
spl670_98,
inference(avatar_split_clause,[],[f17049,f29802]) ).
fof(f29802,plain,
( spl670_98
<=> class_Rings_Odvd(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_98])]) ).
fof(f17049,plain,
class_Rings_Odvd(tc_Nat_Onat),
inference(cnf_transformation,[],[f5125]) ).
fof(f5125,axiom,
class_Rings_Odvd(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29800,plain,
spl670_97,
inference(avatar_split_clause,[],[f17048,f29797]) ).
fof(f29797,plain,
( spl670_97
<=> class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_97])]) ).
fof(f17048,plain,
class_Rings_Oordered__cancel__semiring(tc_Nat_Onat),
inference(cnf_transformation,[],[f5087]) ).
fof(f5087,axiom,
class_Rings_Oordered__cancel__semiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29795,plain,
spl670_96,
inference(avatar_split_clause,[],[f17047,f29792]) ).
fof(f29792,plain,
( spl670_96
<=> class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_96])]) ).
fof(f17047,plain,
class_Rings_Oordered__cancel__semiring(tc_Int_Oint),
inference(cnf_transformation,[],[f5018]) ).
fof(f5018,axiom,
class_Rings_Oordered__cancel__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29790,plain,
spl670_95,
inference(avatar_split_clause,[],[f17046,f29787]) ).
fof(f29787,plain,
( spl670_95
<=> class_Rings_Odvd(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_95])]) ).
fof(f17046,plain,
class_Rings_Odvd(tc_Int_Oint),
inference(cnf_transformation,[],[f5076]) ).
fof(f5076,axiom,
class_Rings_Odvd(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29785,plain,
spl670_94,
inference(avatar_split_clause,[],[f17045,f29782]) ).
fof(f29782,plain,
( spl670_94
<=> class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_94])]) ).
fof(f17045,plain,
class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5184]) ).
fof(f5184,axiom,
class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29780,plain,
spl670_93,
inference(avatar_split_clause,[],[f17044,f29777]) ).
fof(f29777,plain,
( spl670_93
<=> class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_93])]) ).
fof(f17044,plain,
class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5216]) ).
fof(f5216,axiom,
class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29775,plain,
spl670_92,
inference(avatar_split_clause,[],[f17043,f29772]) ).
fof(f29772,plain,
( spl670_92
<=> class_Orderings_Obot(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_92])]) ).
fof(f17043,plain,
class_Orderings_Obot(tc_HOL_Obool),
inference(cnf_transformation,[],[f5141]) ).
fof(f5141,axiom,
class_Orderings_Obot(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29770,plain,
spl670_91,
inference(avatar_split_clause,[],[f17042,f29767]) ).
fof(f29767,plain,
( spl670_91
<=> class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_91])]) ).
fof(f17042,plain,
class_Rings_Ono__zero__divisors(tc_Nat_Onat),
inference(cnf_transformation,[],[f5099]) ).
fof(f5099,axiom,
class_Rings_Ono__zero__divisors(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29765,plain,
spl670_90,
inference(avatar_split_clause,[],[f17041,f29762]) ).
fof(f29762,plain,
( spl670_90
<=> class_Rings_Oordered__semiring(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_90])]) ).
fof(f17041,plain,
class_Rings_Oordered__semiring(tc_Nat_Onat),
inference(cnf_transformation,[],[f5098]) ).
fof(f5098,axiom,
class_Rings_Oordered__semiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29760,plain,
spl670_89,
inference(avatar_split_clause,[],[f17040,f29757]) ).
fof(f29757,plain,
( spl670_89
<=> class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_89])]) ).
fof(f17040,plain,
class_Groups_Ocancel__semigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5089]) ).
fof(f5089,axiom,
class_Groups_Ocancel__semigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29755,plain,
spl670_88,
inference(avatar_split_clause,[],[f17039,f29752]) ).
fof(f29752,plain,
( spl670_88
<=> class_Orderings_Obot(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_88])]) ).
fof(f17039,plain,
class_Orderings_Obot(tc_Nat_Onat),
inference(cnf_transformation,[],[f5119]) ).
fof(f5119,axiom,
class_Orderings_Obot(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29750,plain,
spl670_87,
inference(avatar_split_clause,[],[f17038,f29747]) ).
fof(f29747,plain,
( spl670_87
<=> class_Rings_Oordered__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_87])]) ).
fof(f17038,plain,
class_Rings_Oordered__semiring(tc_Int_Oint),
inference(cnf_transformation,[],[f5034]) ).
fof(f5034,axiom,
class_Rings_Oordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29745,plain,
spl670_86,
inference(avatar_split_clause,[],[f17037,f29742]) ).
fof(f29742,plain,
( spl670_86
<=> class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_86])]) ).
fof(f17037,plain,
class_Rings_Ono__zero__divisors(tc_Int_Oint),
inference(cnf_transformation,[],[f5036]) ).
fof(f5036,axiom,
class_Rings_Ono__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29740,plain,
spl670_85,
inference(avatar_split_clause,[],[f17036,f29737]) ).
fof(f29737,plain,
( spl670_85
<=> class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_85])]) ).
fof(f17036,plain,
class_Groups_Ocancel__semigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5024]) ).
fof(f5024,axiom,
class_Groups_Ocancel__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29735,plain,
spl670_84,
inference(avatar_split_clause,[],[f17035,f29732]) ).
fof(f29732,plain,
( spl670_84
<=> class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_84])]) ).
fof(f17035,plain,
class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5186]) ).
fof(f5186,axiom,
class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29730,plain,
spl670_83,
inference(avatar_split_clause,[],[f17034,f29727]) ).
fof(f29727,plain,
( spl670_83
<=> class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_83])]) ).
fof(f17034,plain,
class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5193]) ).
fof(f5193,axiom,
class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29725,plain,
spl670_82,
inference(avatar_split_clause,[],[f17033,f29722]) ).
fof(f29722,plain,
( spl670_82
<=> class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_82])]) ).
fof(f17033,plain,
class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5192]) ).
fof(f5192,axiom,
class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29720,plain,
spl670_81,
inference(avatar_split_clause,[],[f17032,f29717]) ).
fof(f29717,plain,
( spl670_81
<=> class_Groups_Ouminus(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_81])]) ).
fof(f17032,plain,
class_Groups_Ouminus(tc_HOL_Obool),
inference(cnf_transformation,[],[f5142]) ).
fof(f5142,axiom,
class_Groups_Ouminus(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29715,plain,
spl670_80,
inference(avatar_split_clause,[],[f17031,f29712]) ).
fof(f29712,plain,
( spl670_80
<=> class_Rings_Osemiring(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_80])]) ).
fof(f17031,plain,
class_Rings_Osemiring(tc_Nat_Onat),
inference(cnf_transformation,[],[f5117]) ).
fof(f5117,axiom,
class_Rings_Osemiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29710,plain,
spl670_79,
inference(avatar_split_clause,[],[f17030,f29707]) ).
fof(f29707,plain,
( spl670_79
<=> class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_79])]) ).
fof(f17030,plain,
class_Rings_Ozero__neq__one(tc_Nat_Onat),
inference(cnf_transformation,[],[f5107]) ).
fof(f5107,axiom,
class_Rings_Ozero__neq__one(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29705,plain,
spl670_78,
inference(avatar_split_clause,[],[f17029,f29702]) ).
fof(f29702,plain,
( spl670_78
<=> class_Rings_Omult__zero(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_78])]) ).
fof(f17029,plain,
class_Rings_Omult__zero(tc_Nat_Onat),
inference(cnf_transformation,[],[f5115]) ).
fof(f5115,axiom,
class_Rings_Omult__zero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29700,plain,
spl670_77,
inference(avatar_split_clause,[],[f17028,f29697]) ).
fof(f29697,plain,
( spl670_77
<=> class_Groups_Ouminus(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_77])]) ).
fof(f17028,plain,
class_Groups_Ouminus(tc_Int_Oint),
inference(cnf_transformation,[],[f5065]) ).
fof(f5065,axiom,
class_Groups_Ouminus(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29695,plain,
spl670_76,
inference(avatar_split_clause,[],[f17027,f29692]) ).
fof(f29692,plain,
( spl670_76
<=> class_Rings_Osemiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_76])]) ).
fof(f17027,plain,
class_Rings_Osemiring(tc_Int_Oint),
inference(cnf_transformation,[],[f5063]) ).
fof(f5063,axiom,
class_Rings_Osemiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29690,plain,
spl670_75,
inference(avatar_split_clause,[],[f17026,f29687]) ).
fof(f29687,plain,
( spl670_75
<=> class_Rings_Ozero__neq__one(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_75])]) ).
fof(f17026,plain,
class_Rings_Ozero__neq__one(tc_Int_Oint),
inference(cnf_transformation,[],[f5046]) ).
fof(f5046,axiom,
class_Rings_Ozero__neq__one(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29685,plain,
spl670_74,
inference(avatar_split_clause,[],[f17025,f29682]) ).
fof(f29682,plain,
( spl670_74
<=> class_Rings_Omult__zero(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_74])]) ).
fof(f17025,plain,
class_Rings_Omult__zero(tc_Int_Oint),
inference(cnf_transformation,[],[f5058]) ).
fof(f5058,axiom,
class_Rings_Omult__zero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29680,plain,
spl670_73,
inference(avatar_split_clause,[],[f17024,f29677]) ).
fof(f29677,plain,
( spl670_73
<=> class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_73])]) ).
fof(f17024,plain,
class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5200]) ).
fof(f5200,axiom,
class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29675,plain,
spl670_72,
inference(avatar_split_clause,[],[f17023,f29672]) ).
fof(f29672,plain,
( spl670_72
<=> class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_72])]) ).
fof(f17023,plain,
class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5209]) ).
fof(f5209,axiom,
class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29670,plain,
spl670_71,
inference(avatar_split_clause,[],[f17022,f29667]) ).
fof(f29667,plain,
( spl670_71
<=> class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_71])]) ).
fof(f17022,plain,
class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5207]) ).
fof(f5207,axiom,
class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29665,plain,
spl670_70,
inference(avatar_split_clause,[],[f17021,f29662]) ).
fof(f29662,plain,
( spl670_70
<=> class_Nat_Osemiring__char__0(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_70])]) ).
fof(f17021,plain,
class_Nat_Osemiring__char__0(tc_Nat_Onat),
inference(cnf_transformation,[],[f5106]) ).
fof(f5106,axiom,
class_Nat_Osemiring__char__0(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29660,plain,
spl670_69,
inference(avatar_split_clause,[],[f17020,f29657]) ).
fof(f29657,plain,
( spl670_69
<=> class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_69])]) ).
fof(f17020,plain,
class_Groups_Oab__semigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5097]) ).
fof(f5097,axiom,
class_Groups_Oab__semigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29655,plain,
spl670_68,
inference(avatar_split_clause,[],[f17019,f29652]) ).
fof(f29652,plain,
( spl670_68
<=> class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_68])]) ).
fof(f17019,plain,
class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5082]) ).
fof(f5082,axiom,
class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29650,plain,
spl670_67,
inference(avatar_split_clause,[],[f17018,f29647]) ).
fof(f29647,plain,
( spl670_67
<=> class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_67])]) ).
fof(f17018,plain,
class_Rings_Olinordered__semiring(tc_Nat_Onat),
inference(cnf_transformation,[],[f5090]) ).
fof(f5090,axiom,
class_Rings_Olinordered__semiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29645,plain,
spl670_66,
inference(avatar_split_clause,[],[f17017,f29642]) ).
fof(f29642,plain,
( spl670_66
<=> class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_66])]) ).
fof(f17017,plain,
class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5010]) ).
fof(f5010,axiom,
class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29640,plain,
spl670_65,
inference(avatar_split_clause,[],[f17016,f29637]) ).
fof(f29637,plain,
( spl670_65
<=> class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_65])]) ).
fof(f17016,plain,
class_Groups_Oab__semigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5033]) ).
fof(f5033,axiom,
class_Groups_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29635,plain,
spl670_64,
inference(avatar_split_clause,[],[f17015,f29632]) ).
fof(f29632,plain,
( spl670_64
<=> class_Nat_Osemiring__char__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_64])]) ).
fof(f17015,plain,
class_Nat_Osemiring__char__0(tc_Int_Oint),
inference(cnf_transformation,[],[f5044]) ).
fof(f5044,axiom,
class_Nat_Osemiring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29630,plain,
spl670_63,
inference(avatar_split_clause,[],[f17014,f29627]) ).
fof(f29627,plain,
( spl670_63
<=> class_Rings_Olinordered__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_63])]) ).
fof(f17014,plain,
class_Rings_Olinordered__semiring(tc_Int_Oint),
inference(cnf_transformation,[],[f5025]) ).
fof(f5025,axiom,
class_Rings_Olinordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29625,plain,
spl670_62,
inference(avatar_split_clause,[],[f17013,f29622]) ).
fof(f29622,plain,
( spl670_62
<=> class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_62])]) ).
fof(f17013,plain,
class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5191]) ).
fof(f5191,axiom,
class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29620,plain,
spl670_61,
inference(avatar_split_clause,[],[f17012,f29617]) ).
fof(f29617,plain,
( spl670_61
<=> class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_61])]) ).
fof(f17012,plain,
class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5199]) ).
fof(f5199,axiom,
class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29615,plain,
spl670_60,
inference(avatar_split_clause,[],[f17011,f29612]) ).
fof(f29612,plain,
( spl670_60
<=> class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_60])]) ).
fof(f17011,plain,
class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5187]) ).
fof(f5187,axiom,
class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29610,plain,
spl670_59,
inference(avatar_split_clause,[],[f17010,f29607]) ).
fof(f29607,plain,
( spl670_59
<=> class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_59])]) ).
fof(f17010,plain,
class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5179]) ).
fof(f5179,axiom,
class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29605,plain,
spl670_58,
inference(avatar_split_clause,[],[f17009,f29602]) ).
fof(f29602,plain,
( spl670_58
<=> class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_58])]) ).
fof(f17009,plain,
class_Rings_Ocomm__semiring(tc_Nat_Onat),
inference(cnf_transformation,[],[f5104]) ).
fof(f5104,axiom,
class_Rings_Ocomm__semiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29600,plain,
spl670_57,
inference(avatar_split_clause,[],[f17008,f29597]) ).
fof(f29597,plain,
( spl670_57
<=> class_Groups_Oone(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_57])]) ).
fof(f17008,plain,
class_Groups_Oone(tc_Nat_Onat),
inference(cnf_transformation,[],[f5124]) ).
fof(f5124,axiom,
class_Groups_Oone(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29595,plain,
spl670_56,
inference(avatar_split_clause,[],[f17007,f29592]) ).
fof(f29592,plain,
( spl670_56
<=> class_Groups_Ozero(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_56])]) ).
fof(f17007,plain,
class_Groups_Ozero(tc_Nat_Onat),
inference(cnf_transformation,[],[f5122]) ).
fof(f5122,axiom,
class_Groups_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29590,plain,
spl670_55,
inference(avatar_split_clause,[],[f17006,f29587]) ).
fof(f29587,plain,
( spl670_55
<=> class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_55])]) ).
fof(f17006,plain,
class_Rings_Oordered__comm__semiring(tc_Nat_Onat),
inference(cnf_transformation,[],[f5088]) ).
fof(f5088,axiom,
class_Rings_Oordered__comm__semiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29585,plain,
spl670_54,
inference(avatar_split_clause,[],[f17005,f29582]) ).
fof(f29582,plain,
( spl670_54
<=> class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_54])]) ).
fof(f17005,plain,
class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat),
inference(cnf_transformation,[],[f5081]) ).
fof(f5081,axiom,
class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29580,plain,
spl670_53,
inference(avatar_split_clause,[],[f17004,f29577]) ).
fof(f29577,plain,
( spl670_53
<=> class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_53])]) ).
fof(f17004,plain,
class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5086]) ).
fof(f5086,axiom,
class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29575,plain,
spl670_52,
inference(avatar_split_clause,[],[f17003,f29572]) ).
fof(f29572,plain,
( spl670_52
<=> class_Groups_Osemigroup__add(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_52])]) ).
fof(f17003,plain,
class_Groups_Osemigroup__add(tc_Nat_Onat),
inference(cnf_transformation,[],[f5102]) ).
fof(f5102,axiom,
class_Groups_Osemigroup__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29570,plain,
spl670_51,
inference(avatar_split_clause,[],[f17002,f29567]) ).
fof(f29567,plain,
( spl670_51
<=> class_Groups_Osemigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_51])]) ).
fof(f17002,plain,
class_Groups_Osemigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5041]) ).
fof(f5041,axiom,
class_Groups_Osemigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29565,plain,
spl670_50,
inference(avatar_split_clause,[],[f17001,f29562]) ).
fof(f29562,plain,
( spl670_50
<=> class_Groups_Ozero(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_50])]) ).
fof(f17001,plain,
class_Groups_Ozero(tc_Int_Oint),
inference(cnf_transformation,[],[f5071]) ).
fof(f5071,axiom,
class_Groups_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29560,plain,
spl670_49,
inference(avatar_split_clause,[],[f17000,f29557]) ).
fof(f29557,plain,
( spl670_49
<=> class_Rings_Ocomm__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_49])]) ).
fof(f17000,plain,
class_Rings_Ocomm__semiring(tc_Int_Oint),
inference(cnf_transformation,[],[f5043]) ).
fof(f5043,axiom,
class_Rings_Ocomm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29555,plain,
spl670_48,
inference(avatar_split_clause,[],[f16999,f29552]) ).
fof(f29552,plain,
( spl670_48
<=> class_Groups_Oone(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_48])]) ).
fof(f16999,plain,
class_Groups_Oone(tc_Int_Oint),
inference(cnf_transformation,[],[f5075]) ).
fof(f5075,axiom,
class_Groups_Oone(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29550,plain,
spl670_47,
inference(avatar_split_clause,[],[f16998,f29547]) ).
fof(f29547,plain,
( spl670_47
<=> class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_47])]) ).
fof(f16998,plain,
class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5016]) ).
fof(f5016,axiom,
class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29545,plain,
spl670_46,
inference(avatar_split_clause,[],[f16997,f29542]) ).
fof(f29542,plain,
( spl670_46
<=> class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_46])]) ).
fof(f16997,plain,
class_Rings_Oordered__comm__semiring(tc_Int_Oint),
inference(cnf_transformation,[],[f5021]) ).
fof(f5021,axiom,
class_Rings_Oordered__comm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29540,plain,
spl670_45,
inference(avatar_split_clause,[],[f16996,f29537]) ).
fof(f29537,plain,
( spl670_45
<=> class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_45])]) ).
fof(f16996,plain,
class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint),
inference(cnf_transformation,[],[f5008]) ).
fof(f5008,axiom,
class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29535,plain,
spl670_44,
inference(avatar_split_clause,[],[f16995,f29532]) ).
fof(f29532,plain,
( spl670_44
<=> class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_44])]) ).
fof(f16995,plain,
class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5198]) ).
fof(f5198,axiom,
class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29530,plain,
spl670_43,
inference(avatar_split_clause,[],[f16994,f29527]) ).
fof(f29527,plain,
( spl670_43
<=> class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_43])]) ).
fof(f16994,plain,
class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5196]) ).
fof(f5196,axiom,
class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29525,plain,
spl670_42,
inference(avatar_split_clause,[],[f16993,f29522]) ).
fof(f29522,plain,
( spl670_42
<=> class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_42])]) ).
fof(f16993,plain,
class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5213]) ).
fof(f5213,axiom,
class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29520,plain,
spl670_41,
inference(avatar_split_clause,[],[f16992,f29517]) ).
fof(f29517,plain,
( spl670_41
<=> class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_41])]) ).
fof(f16992,plain,
class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5185]) ).
fof(f5185,axiom,
class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29515,plain,
spl670_40,
inference(avatar_split_clause,[],[f16991,f29512]) ).
fof(f29512,plain,
( spl670_40
<=> class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_40])]) ).
fof(f16991,plain,
class_Groups_Oone(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5215]) ).
fof(f5215,axiom,
class_Groups_Oone(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29510,plain,
spl670_39,
inference(avatar_split_clause,[],[f16990,f29507]) ).
fof(f29507,plain,
( spl670_39
<=> class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_39])]) ).
fof(f16990,plain,
class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5178]) ).
fof(f5178,axiom,
class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29505,plain,
spl670_38,
inference(avatar_split_clause,[],[f16989,f29502]) ).
fof(f29502,plain,
( spl670_38
<=> class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_38])]) ).
fof(f16989,plain,
class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
inference(cnf_transformation,[],[f5183]) ).
fof(f5183,axiom,
class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29500,plain,
spl670_37,
inference(avatar_split_clause,[],[f16988,f29497]) ).
fof(f29497,plain,
( spl670_37
<=> class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_37])]) ).
fof(f16988,plain,
class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool),
inference(cnf_transformation,[],[f5128]) ).
fof(f5128,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29495,plain,
spl670_36,
inference(avatar_split_clause,[],[f16987,f29492]) ).
fof(f29492,plain,
( spl670_36
<=> class_Lattices_Oboolean__algebra(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_36])]) ).
fof(f16987,plain,
class_Lattices_Oboolean__algebra(tc_HOL_Obool),
inference(cnf_transformation,[],[f5134]) ).
fof(f5134,axiom,
class_Lattices_Oboolean__algebra(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29490,plain,
spl670_35,
inference(avatar_split_clause,[],[f16986,f29487]) ).
fof(f29487,plain,
( spl670_35
<=> class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_35])]) ).
fof(f16986,plain,
class_Lattices_Obounded__lattice__top(tc_HOL_Obool),
inference(cnf_transformation,[],[f5129]) ).
fof(f5129,axiom,
class_Lattices_Obounded__lattice__top(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29485,plain,
spl670_34,
inference(avatar_split_clause,[],[f16985,f29482]) ).
fof(f29482,plain,
( spl670_34
<=> class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_34])]) ).
fof(f16985,plain,
class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
inference(cnf_transformation,[],[f5130]) ).
fof(f5130,axiom,
class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29480,plain,
spl670_33,
inference(avatar_split_clause,[],[f16984,f29477]) ).
fof(f29477,plain,
( spl670_33
<=> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_33])]) ).
fof(f16984,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
inference(cnf_transformation,[],[f5078]) ).
fof(f5078,axiom,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29475,plain,
spl670_32,
inference(avatar_split_clause,[],[f16983,f29472]) ).
fof(f29472,plain,
( spl670_32
<=> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_32])]) ).
fof(f16983,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint),
inference(cnf_transformation,[],[f5005]) ).
fof(f5005,axiom,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29470,plain,
spl670_31,
inference(avatar_split_clause,[],[f16982,f29467]) ).
fof(f29467,plain,
( spl670_31
<=> class_Lattices_Obounded__lattice(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_31])]) ).
fof(f16982,plain,
class_Lattices_Obounded__lattice(tc_HOL_Obool),
inference(cnf_transformation,[],[f4983]) ).
fof(f4983,axiom,
class_Lattices_Obounded__lattice(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29465,plain,
spl670_30,
inference(avatar_split_clause,[],[f16981,f29462]) ).
fof(f29462,plain,
( spl670_30
<=> class_Orderings_Otop(tc_HOL_Obool) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_30])]) ).
fof(f16981,plain,
class_Orderings_Otop(tc_HOL_Obool),
inference(cnf_transformation,[],[f5139]) ).
fof(f5139,axiom,
class_Orderings_Otop(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29460,plain,
spl670_29,
inference(avatar_split_clause,[],[f16980,f29457]) ).
fof(f29457,plain,
( spl670_29
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_29])]) ).
fof(f16980,plain,
class_Int_Onumber__ring(tc_Int_Oint),
inference(cnf_transformation,[],[f5062]) ).
fof(f5062,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29455,plain,
spl670_28,
inference(avatar_split_clause,[],[f16979,f29452]) ).
fof(f29452,plain,
( spl670_28
<=> class_Rings_Olinordered__idom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_28])]) ).
fof(f16979,plain,
class_Rings_Olinordered__idom(tc_Int_Oint),
inference(cnf_transformation,[],[f5039]) ).
fof(f5039,axiom,
class_Rings_Olinordered__idom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29450,plain,
spl670_27,
inference(avatar_split_clause,[],[f16978,f29447]) ).
fof(f29447,plain,
( spl670_27
<=> class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_27])]) ).
fof(f16978,plain,
class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
inference(cnf_transformation,[],[f5013]) ).
fof(f5013,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29445,plain,
spl670_26,
inference(avatar_split_clause,[],[f16977,f29442]) ).
fof(f29442,plain,
( spl670_26
<=> class_Rings_Oring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_26])]) ).
fof(f16977,plain,
class_Rings_Oring__1(tc_Int_Oint),
inference(cnf_transformation,[],[f5068]) ).
fof(f5068,axiom,
class_Rings_Oring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29440,plain,
spl670_25,
inference(avatar_split_clause,[],[f16976,f29437]) ).
fof(f29437,plain,
( spl670_25
<=> class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_25])]) ).
fof(f16976,plain,
class_Groups_Oordered__ab__group__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5023]) ).
fof(f5023,axiom,
class_Groups_Oordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29435,plain,
spl670_24,
inference(avatar_split_clause,[],[f16975,f29432]) ).
fof(f29432,plain,
( spl670_24
<=> class_Groups_Ogroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_24])]) ).
fof(f16975,plain,
class_Groups_Ogroup__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5056]) ).
fof(f5056,axiom,
class_Groups_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29430,plain,
spl670_23,
inference(avatar_split_clause,[],[f16974,f29427]) ).
fof(f29427,plain,
( spl670_23
<=> class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_23])]) ).
fof(f16974,plain,
class_Groups_Olinordered__ab__group__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5015]) ).
fof(f5015,axiom,
class_Groups_Olinordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29425,plain,
spl670_22,
inference(avatar_split_clause,[],[f16973,f29422]) ).
fof(f29422,plain,
( spl670_22
<=> class_Groups_Oab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_22])]) ).
fof(f16973,plain,
class_Groups_Oab__group__add(tc_Int_Oint),
inference(cnf_transformation,[],[f5045]) ).
fof(f5045,axiom,
class_Groups_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29420,plain,
spl670_21,
inference(avatar_split_clause,[],[f16972,f29417]) ).
fof(f29417,plain,
( spl670_21
<=> class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_21])]) ).
fof(f16972,plain,
class_Rings_Olinordered__ring__strict(tc_Int_Oint),
inference(cnf_transformation,[],[f5019]) ).
fof(f5019,axiom,
class_Rings_Olinordered__ring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29415,plain,
spl670_20,
inference(avatar_split_clause,[],[f16971,f29412]) ).
fof(f29412,plain,
( spl670_20
<=> class_Rings_Oring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_20])]) ).
fof(f16971,plain,
class_Rings_Oring(tc_Int_Oint),
inference(cnf_transformation,[],[f5072]) ).
fof(f5072,axiom,
class_Rings_Oring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29410,plain,
spl670_19,
inference(avatar_split_clause,[],[f16970,f29407]) ).
fof(f29407,plain,
( spl670_19
<=> class_Rings_Oordered__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_19])]) ).
fof(f16970,plain,
class_Rings_Oordered__ring(tc_Int_Oint),
inference(cnf_transformation,[],[f5047]) ).
fof(f5047,axiom,
class_Rings_Oordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29405,plain,
spl670_18,
inference(avatar_split_clause,[],[f16969,f29402]) ).
fof(f29402,plain,
( spl670_18
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_18])]) ).
fof(f16969,plain,
class_Int_Oring__char__0(tc_Int_Oint),
inference(cnf_transformation,[],[f5061]) ).
fof(f5061,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29400,plain,
spl670_17,
inference(avatar_split_clause,[],[f16968,f29397]) ).
fof(f29397,plain,
( spl670_17
<=> class_Divides_Oring__div(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_17])]) ).
fof(f16968,plain,
class_Divides_Oring__div(tc_Int_Oint),
inference(cnf_transformation,[],[f5057]) ).
fof(f5057,axiom,
class_Divides_Oring__div(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29395,plain,
spl670_16,
inference(avatar_split_clause,[],[f16967,f29392]) ).
fof(f29392,plain,
( spl670_16
<=> class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_16])]) ).
fof(f16967,plain,
class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint),
inference(cnf_transformation,[],[f5017]) ).
fof(f5017,axiom,
class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29390,plain,
spl670_15,
inference(avatar_split_clause,[],[f16966,f29387]) ).
fof(f29387,plain,
( spl670_15
<=> class_Rings_Olinordered__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_15])]) ).
fof(f16966,plain,
class_Rings_Olinordered__ring(tc_Int_Oint),
inference(cnf_transformation,[],[f5038]) ).
fof(f5038,axiom,
class_Rings_Olinordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29385,plain,
spl670_14,
inference(avatar_split_clause,[],[f16965,f29382]) ).
fof(f29382,plain,
( spl670_14
<=> class_Rings_Oidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_14])]) ).
fof(f16965,plain,
class_Rings_Oidom(tc_Int_Oint),
inference(cnf_transformation,[],[f5073]) ).
fof(f5073,axiom,
class_Rings_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29380,plain,
spl670_13,
inference(avatar_split_clause,[],[f16964,f29377]) ).
fof(f29377,plain,
( spl670_13
<=> class_Groups_Osgn__if(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_13])]) ).
fof(f16964,plain,
class_Groups_Osgn__if(tc_Int_Oint),
inference(cnf_transformation,[],[f5066]) ).
fof(f5066,axiom,
class_Groups_Osgn__if(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29375,plain,
spl670_12,
inference(avatar_split_clause,[],[f16963,f29372]) ).
fof(f29372,plain,
( spl670_12
<=> class_Rings_Ocomm__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_12])]) ).
fof(f16963,plain,
class_Rings_Ocomm__ring(tc_Int_Oint),
inference(cnf_transformation,[],[f5059]) ).
fof(f5059,axiom,
class_Rings_Ocomm__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29370,plain,
spl670_11,
inference(avatar_split_clause,[],[f16962,f29367]) ).
fof(f29367,plain,
( spl670_11
<=> class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_11])]) ).
fof(f16962,plain,
class_Rings_Ocomm__ring__1(tc_Int_Oint),
inference(cnf_transformation,[],[f5051]) ).
fof(f5051,axiom,
class_Rings_Ocomm__ring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29365,plain,
spl670_10,
inference(avatar_split_clause,[],[f16961,f29362]) ).
fof(f29362,plain,
( spl670_10
<=> class_Orderings_Owellorder(tc_Nat_Onat) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_10])]) ).
fof(f16961,plain,
class_Orderings_Owellorder(tc_Nat_Onat),
inference(cnf_transformation,[],[f5105]) ).
fof(f5105,axiom,
class_Orderings_Owellorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29360,plain,
spl670_9,
inference(avatar_split_clause,[],[f16960,f29357]) ).
fof(f29357,plain,
( spl670_9
<=> class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_9])]) ).
fof(f16960,plain,
class_Rings_Olinordered__semiring__1(tc_Int_Oint),
inference(cnf_transformation,[],[f5022]) ).
fof(f5022,axiom,
class_Rings_Olinordered__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29355,plain,
spl670_8,
inference(avatar_split_clause,[],[f16959,f29352]) ).
fof(f29352,plain,
( spl670_8
<=> class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_8])]) ).
fof(f16959,plain,
class_Rings_Oordered__ring__abs(tc_Int_Oint),
inference(cnf_transformation,[],[f5035]) ).
fof(f5035,axiom,
class_Rings_Oordered__ring__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29350,plain,
spl670_7,
inference(avatar_split_clause,[],[f16958,f29347]) ).
fof(f29347,plain,
( spl670_7
<=> class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_7])]) ).
fof(f16958,plain,
class_Rings_Oring__no__zero__divisors(tc_Int_Oint),
inference(cnf_transformation,[],[f5020]) ).
fof(f5020,axiom,
class_Rings_Oring__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29345,plain,
spl670_6,
inference(avatar_split_clause,[],[f16957,f29342]) ).
fof(f29342,plain,
( spl670_6
<=> class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_6])]) ).
fof(f16957,plain,
class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint),
inference(cnf_transformation,[],[f5009]) ).
fof(f5009,axiom,
class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29340,plain,
spl670_5,
inference(avatar_split_clause,[],[f16956,f29337]) ).
fof(f29337,plain,
( spl670_5
<=> class_Groups_Oabs__if(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_5])]) ).
fof(f16956,plain,
class_Groups_Oabs__if(tc_Int_Oint),
inference(cnf_transformation,[],[f5067]) ).
fof(f5067,axiom,
class_Groups_Oabs__if(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29335,plain,
~ spl670_4,
inference(avatar_split_clause,[],[f16955,f29332]) ).
fof(f29332,plain,
( spl670_4
<=> hBOOL(c_fFalse) ),
introduced(avatar_definition,[new_symbols(naming,[spl670_4])]) ).
fof(f16955,plain,
~ hBOOL(c_fFalse),
inference(cnf_transformation,[],[f5228]) ).
fof(f5228,axiom,
~ hBOOL(c_fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29330,plain,
spl670_3,
inference(avatar_split_clause,[],[f16952,f29328]) ).
fof(f16952,plain,
! [X3] :
( v_Q(X3,sK89)
| ~ v_P_H(X3,sK88) ),
inference(cnf_transformation,[],[f14618]) ).
fof(f14618,plain,
( ~ v_Q(sK87,sK89)
& ! [X3] :
( v_Q(X3,sK89)
| ~ v_P_H(X3,sK88) )
& v_P(sK87,sK88) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89])],[f10330,f14617,f14616]) ).
fof(f14616,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q(X3,X2)
| ~ v_P_H(X3,X1) ) )
& v_P(X0,X1) )
=> ( ? [X2] :
( ~ v_Q(sK87,X2)
& ! [X3] :
( v_Q(X3,X2)
| ~ v_P_H(X3,sK88) ) )
& v_P(sK87,sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f14617,plain,
( ? [X2] :
( ~ v_Q(sK87,X2)
& ! [X3] :
( v_Q(X3,X2)
| ~ v_P_H(X3,sK88) ) )
=> ( ~ v_Q(sK87,sK89)
& ! [X3] :
( v_Q(X3,sK89)
| ~ v_P_H(X3,sK88) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10330,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q(X3,X2)
| ~ v_P_H(X3,X1) ) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5244]) ).
fof(f5244,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P_H(X3,X1)
=> v_Q(X3,X2) )
=> v_Q(X0,X2) ) ),
inference(rectify,[],[f5243]) ).
fof(f5243,negated_conjecture,
~ ! [X281,X282] :
( v_P(X281,X282)
=> ! [X283] :
( ! [X284] :
( v_P_H(X284,X282)
=> v_Q(X284,X283) )
=> v_Q(X281,X283) ) ),
inference(negated_conjecture,[],[f5242]) ).
fof(f5242,conjecture,
! [X281,X282] :
( v_P(X281,X282)
=> ! [X283] :
( ! [X284] :
( v_P_H(X284,X282)
=> v_Q(X284,X283) )
=> v_Q(X281,X283) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29326,plain,
~ spl670_2,
inference(avatar_split_clause,[],[f16953,f29323]) ).
fof(f16953,plain,
~ v_Q(sK87,sK89),
inference(cnf_transformation,[],[f14618]) ).
fof(f29321,plain,
spl670_1,
inference(avatar_split_clause,[],[f16951,f29318]) ).
fof(f16951,plain,
v_P(sK87,sK88),
inference(cnf_transformation,[],[f14618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW300+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 07:47:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.77 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.77 % (2377)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.59/0.80 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (2371)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.59/0.80 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (2372)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.59/0.80 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (2373)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.59/0.80 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (2376)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.59/0.80 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (2375)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.59/0.80 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.80 % (2374)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.59/0.81 % (2377)Instruction limit reached!
% 0.59/0.81 % (2377)------------------------------
% 0.59/0.81 % (2377)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.59/0.81 % (2377)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.59/0.81 % (2377)Termination reason: Time limit
% 0.59/0.81 % (2377)Termination phase: NewCNF
% 0.59/0.81
% 0.59/0.81 % (2377)Memory used [KB]: 12268
% 0.59/0.81 % (2377)Time elapsed: 0.043 s
% 0.59/0.81 % (2377)Instructions burned: 116 (million)
% 0.65/0.85 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.65/0.85 % (2378)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.65/0.86 % (2375)Instruction limit reached!
% 0.65/0.86 % (2375)------------------------------
% 0.65/0.86 % (2375)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.65/0.86 % (2375)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.65/0.86 % (2375)Termination reason: Time limit
% 0.65/0.86 % (2375)Termination phase: NewCNF
% 0.65/0.86
% 0.65/0.86 % (2375)Memory used [KB]: 11727
% 0.65/0.86 % (2375)Time elapsed: 0.062 s
% 0.65/0.86 % (2375)Instructions burned: 105 (million)
% 0.78/0.88 % (2376)Instruction limit reached!
% 0.78/0.88 % (2376)------------------------------
% 0.78/0.88 % (2376)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.78/0.88 % (2376)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.78/0.88 % (2376)Termination reason: Time limit
% 0.78/0.88 % (2376)Termination phase: Preprocessing 3
% 0.78/0.88
% 0.78/0.88 % (2376)Memory used [KB]: 11944
% 0.78/0.88 % (2376)Time elapsed: 0.080 s
% 0.78/0.88 % (2376)Instructions burned: 146 (million)
% 0.78/0.90 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.78/0.90 % (2379)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.78/0.91 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.78/0.91 % (2380)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.92/0.96 % (2379)Instruction limit reached!
% 0.92/0.96 % (2379)------------------------------
% 0.92/0.96 % (2379)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.92/0.96 % (2379)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.92/0.96 % (2379)Termination reason: Time limit
% 0.92/0.96 % (2379)Termination phase: Preprocessing 3
% 0.92/0.96
% 0.92/0.96 % (2379)Memory used [KB]: 12665
% 0.92/0.96 % (2379)Time elapsed: 0.060 s
% 0.92/0.96 % (2379)Instructions burned: 178 (million)
% 0.92/0.97 % (2378)Instruction limit reached!
% 0.92/0.97 % (2378)------------------------------
% 0.92/0.97 % (2378)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.92/0.97 % (2378)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.92/0.97 % (2378)Termination reason: Time limit
% 0.92/0.97 % (2378)Termination phase: Property scanning
% 0.92/0.97
% 0.92/0.97 % (2378)Memory used [KB]: 15504
% 0.92/0.97 % (2378)Time elapsed: 0.118 s
% 0.92/0.97 % (2378)Instructions burned: 404 (million)
% 0.92/1.00 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.92/1.00 % (2381)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 0.92/1.00 % (2380)Instruction limit reached!
% 0.92/1.00 % (2380)------------------------------
% 0.92/1.00 % (2380)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.92/1.00 % (2380)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.92/1.00 % (2380)Termination reason: Time limit
% 0.92/1.00 % (2380)Termination phase: Property scanning
% 0.92/1.00
% 0.92/1.00 % (2380)Memory used [KB]: 14522
% 0.92/1.00 % (2380)Time elapsed: 0.086 s
% 0.92/1.00 % (2380)Instructions burned: 274 (million)
% 0.92/1.00 % (2364)Running in auto input_syntax mode. Trying TPTP
% 0.92/1.00 % (2382)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.30/1.04 % (2364)Running in auto input_syntax mode. Trying TPTP
% 1.30/1.04 % (2383)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 4.04/1.26 % (2381)Instruction limit reached!
% 4.04/1.26 % (2381)------------------------------
% 4.04/1.26 % (2381)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.04/1.26 % (2381)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.04/1.26 % (2381)Termination reason: Time limit
% 4.04/1.26 % (2381)Termination phase: Saturation
% 4.04/1.26
% 4.04/1.26 % (2381)Memory used [KB]: 17155
% 4.04/1.26 % (2381)Time elapsed: 0.260 s
% 4.04/1.26 % (2381)Instructions burned: 902 (million)
% 4.04/1.29 % (2364)Running in auto input_syntax mode. Trying TPTP
% 4.04/1.29 % (2384)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 4.83/1.39 % (2372)First to succeed.
% 4.83/1.40 % (2372)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2364"
% 4.83/1.40 % (2364)Running in auto input_syntax mode. Trying TPTP
% 4.83/1.40 % (2372)Refutation found. Thanks to Tanya!
% 4.83/1.40 % SZS status Theorem for theBenchmark
% 4.83/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 4.83/1.41 % (2372)------------------------------
% 4.83/1.41 % (2372)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.83/1.41 % (2372)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.83/1.41 % (2372)Termination reason: Refutation
% 4.83/1.41
% 4.83/1.41 % (2372)Memory used [KB]: 22977
% 4.83/1.41 % (2372)Time elapsed: 0.604 s
% 4.83/1.41 % (2372)Instructions burned: 1772 (million)
% 4.83/1.41 % (2372)------------------------------
% 4.83/1.41 % (2372)------------------------------
% 4.83/1.41 % (2364)Success in time 0.665 s
%------------------------------------------------------------------------------