TSTP Solution File: SWV822-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV822-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.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 : Wed Aug 31 19:01:46 EDT 2022
% Result : Unsatisfiable 11.85s 2.06s
% Output : Refutation 11.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 184
% Syntax : Number of formulae : 493 ( 108 unt; 0 def)
% Number of atoms : 914 ( 85 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 761 ( 340 ~; 311 |; 0 &)
% ( 110 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 145 ( 143 usr; 111 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-4 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5347,plain,
$false,
inference(avatar_smt_refutation,[],[f735,f744,f749,f754,f755,f760,f765,f770,f775,f784,f785,f786,f791,f796,f799,f804,f809,f814,f819,f824,f825,f833,f838,f839,f845,f850,f857,f862,f867,f872,f880,f885,f892,f898,f903,f908,f913,f918,f926,f927,f933,f940,f943,f1000,f1007,f1023,f1029,f1092,f1111,f1117,f1123,f1136,f1255,f1267,f1284,f1285,f1290,f1295,f1300,f1305,f1310,f1315,f1320,f1322,f1324,f1329,f1337,f1343,f1366,f1372,f1374,f1388,f1401,f1936,f1955,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1994,f1995,f1996,f2080,f2096,f2144,f3476,f3496,f4275,f4380,f4471,f4576,f4636,f4778,f4839,f4844,f4849,f4854,f4859,f4864,f4869,f4874,f4879,f4884,f4889,f4894,f4899,f4904,f4909,f5061,f5066,f5071,f5076,f5081,f5088,f5093,f5098,f5103,f5108,f5115,f5120,f5125,f5133,f5138,f5150,f5156,f5161,f5166,f5171,f5191,f5262,f5271,f5346]) ).
fof(f5346,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_11
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f5345,f938,f781,f741,f737]) ).
fof(f737,plain,
( spl0_2
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f741,plain,
( spl0_3
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f781,plain,
( spl0_11
<=> hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f938,plain,
( spl0_38
<=> ! [X54,X55,X56] :
( ~ hBOOL(hAPP(hAPP(v_P,X54),X56))
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X56,v_n,X55)
| hBOOL(hAPP(hAPP(v_Q,X54),X55)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f5345,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| ~ spl0_3
| spl0_11
| ~ spl0_38 ),
inference(resolution,[],[f5342,f783]) ).
fof(f783,plain,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| spl0_11 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f5342,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) )
| ~ spl0_3
| ~ spl0_38 ),
inference(resolution,[],[f743,f939]) ).
fof(f939,plain,
( ! [X56,X54,X55] :
( ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X56,v_n,X55)
| hBOOL(hAPP(hAPP(v_Q,X54),X55))
| ~ hBOOL(hAPP(hAPP(v_P,X54),X56)) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f743,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f5271,plain,
~ spl0_109,
inference(avatar_contradiction_clause,[],[f5270]) ).
fof(f5270,plain,
( $false
| ~ spl0_109 ),
inference(equality_resolution,[],[f5268]) ).
fof(f5268,plain,
( ! [X7] : c_Suc(X7) != c_Suc(v_n)
| ~ spl0_109 ),
inference(superposition,[],[f5186,f499]) ).
fof(f499,axiom,
! [X7] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X7,tc_nat) = X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f5186,plain,
( ! [X4,X5] : c_Suc(v_n) != c_HOL_Oplus__class_Oplus(X4,c_Suc(X5),tc_nat)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f5185]) ).
fof(f5185,plain,
( spl0_109
<=> ! [X4,X5] : c_Suc(v_n) != c_HOL_Oplus__class_Oplus(X4,c_Suc(X5),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f5262,plain,
( spl0_3
| ~ spl0_10
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f5261,f5188,f777,f741]) ).
fof(f777,plain,
( spl0_10
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f5188,plain,
( spl0_110
<=> v_n = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f5261,plain,
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| ~ spl0_110 ),
inference(superposition,[],[f656,f5190]) ).
fof(f5190,plain,
( v_n = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f5188]) ).
fof(f656,axiom,
! [X38,X28,X37,X7] :
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X28),tc_Com_Ocom),X38,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X28,X7,X38,X37),X37)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X28),X38,X7,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_1) ).
fof(f5191,plain,
( spl0_109
| spl0_110
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5183,f4896,f5188,f5185]) ).
fof(f4896,plain,
( spl0_86
<=> c_Suc(v_n) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f5183,plain,
( ! [X4,X5] :
( v_n = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| c_Suc(v_n) != c_HOL_Oplus__class_Oplus(X4,c_Suc(X5),tc_nat) )
| ~ spl0_86 ),
inference(forward_subsumption_demodulation,[],[f5174,f1050]) ).
fof(f1050,plain,
! [X48,X49,X47] :
( c_Suc(X49) != c_HOL_Oplus__class_Oplus(X47,c_Suc(X48),tc_nat)
| c_HOL_Oplus__class_Oplus(X47,X48,tc_nat) = X49 ),
inference(superposition,[],[f655,f826]) ).
fof(f826,plain,
! [X6,X7] : c_Suc(c_HOL_Oplus__class_Oplus(X6,X7,tc_nat)) = c_HOL_Oplus__class_Oplus(X6,c_Suc(X7),tc_nat),
inference(forward_demodulation,[],[f661,f669]) ).
fof(f669,axiom,
! [X6,X7] : c_HOL_Oplus__class_Oplus(c_Suc(X6),X7,tc_nat) = c_HOL_Oplus__class_Oplus(X6,c_Suc(X7),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__shift_0) ).
fof(f661,axiom,
! [X6,X7] : c_HOL_Oplus__class_Oplus(c_Suc(X6),X7,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X6,X7,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc_0) ).
fof(f655,axiom,
! [X8,X9] :
( c_Suc(X8) != c_Suc(X9)
| X8 = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__inject_0) ).
fof(f5174,plain,
( ! [X4,X5] :
( c_HOL_Oplus__class_Oplus(X4,X5,tc_nat) = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| c_Suc(v_n) != c_HOL_Oplus__class_Oplus(X4,c_Suc(X5),tc_nat) )
| ~ spl0_86 ),
inference(superposition,[],[f1050,f4898]) ).
fof(f4898,plain,
( c_Suc(v_n) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f4896]) ).
fof(f5171,plain,
( ~ spl0_108
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5012,f4896,f5168]) ).
fof(f5168,plain,
( spl0_108
<=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(v_n)),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f5012,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(v_n)),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1095,f4898]) ).
fof(f1095,plain,
! [X2] : ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(X2)),X2,tc_nat),
inference(resolution,[],[f1010,f630]) ).
fof(f630,axiom,
! [X6,X7] :
( c_HOL_Oord__class_Oless(X6,c_Suc(X7),tc_nat)
| ~ c_HOL_Oord__class_Oless(X6,X7,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__SucI_0) ).
fof(f1010,plain,
! [X2] : ~ c_HOL_Oord__class_Oless(c_Suc(X2),X2,tc_nat),
inference(resolution,[],[f328,f630]) ).
fof(f328,axiom,
! [X8] : ~ c_HOL_Oord__class_Oless(X8,X8,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_1) ).
fof(f5166,plain,
( spl0_107
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5001,f4896,f5163]) ).
fof(f5163,plain,
( spl0_107
<=> c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(v_n),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f5001,plain,
( c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(v_n),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1017,f4898]) ).
fof(f1017,plain,
! [X5] : c_lessequals(X5,c_Suc(X5),tc_nat),
inference(resolution,[],[f543,f640]) ).
fof(f640,axiom,
! [X6,X7] :
( ~ c_lessequals(X6,X7,tc_nat)
| c_lessequals(X6,c_Suc(X7),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__SucI_0) ).
fof(f543,axiom,
! [X7] : c_lessequals(X7,X7,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__refl_0) ).
fof(f5161,plain,
( spl0_106
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4985,f4896,f5158]) ).
fof(f5158,plain,
( spl0_106
<=> c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(v_n)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f4985,plain,
( c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(v_n)),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f953,f4898]) ).
fof(f953,plain,
! [X0] : c_HOL_Oord__class_Oless(X0,c_Suc(c_Suc(X0)),tc_nat),
inference(resolution,[],[f631,f644]) ).
fof(f644,axiom,
! [X7] : c_HOL_Oord__class_Oless(X7,c_Suc(X7),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessI_0) ).
fof(f631,axiom,
! [X6,X7] :
( ~ c_HOL_Oord__class_Oless(c_Suc(X6),X7,tc_nat)
| c_HOL_Oord__class_Oless(X6,X7,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__lessD_0) ).
fof(f5156,plain,
( ~ spl0_105
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4961,f4896,f5153]) ).
fof(f5153,plain,
( spl0_105
<=> c_Suc(v_n) = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f4961,plain,
( c_Suc(v_n) != c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb)
| ~ spl0_86 ),
inference(superposition,[],[f638,f4898]) ).
fof(f638,axiom,
! [X7] : c_Suc(X7) != X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f5150,plain,
( ~ spl0_104
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5043,f4896,f5147]) ).
fof(f5147,plain,
( spl0_104
<=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f5043,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1661,f4898]) ).
fof(f1661,plain,
! [X2] : ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X2)))),X2,tc_nat),
inference(resolution,[],[f1183,f630]) ).
fof(f1183,plain,
! [X2] : ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X2))),X2,tc_nat),
inference(resolution,[],[f1095,f630]) ).
fof(f5138,plain,
( spl0_103
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5023,f4896,f5135]) ).
fof(f5135,plain,
( spl0_103
<=> c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(v_n))),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f5023,plain,
( c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(v_n))),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1199,f4898]) ).
fof(f1199,plain,
! [X2] : c_lessequals(X2,c_Suc(c_Suc(c_Suc(X2))),tc_nat),
inference(resolution,[],[f1100,f641]) ).
fof(f641,axiom,
! [X6,X7] :
( ~ c_lessequals(c_Suc(X6),X7,tc_nat)
| c_lessequals(X6,X7,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__leD_0) ).
fof(f1100,plain,
! [X2] : c_lessequals(X2,c_Suc(c_Suc(X2)),tc_nat),
inference(resolution,[],[f1017,f641]) ).
fof(f5133,plain,
( spl0_102
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5049,f4896,f5130]) ).
fof(f5130,plain,
( spl0_102
<=> c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(v_n),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f5049,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(v_n),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f2103,f4898]) ).
fof(f2103,plain,
! [X10] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X10,c_Suc(X10),tc_nat),
inference(superposition,[],[f259,f1221]) ).
fof(f1221,plain,
! [X5] : c_Suc(X5) = c_HOL_Oplus__class_Oplus(X5,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(forward_demodulation,[],[f1214,f514]) ).
fof(f514,axiom,
! [X6,X7] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X6,X7,tc_nat),X7,tc_nat) = X6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse2_0) ).
fof(f1214,plain,
! [X5] : c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X5,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = c_HOL_Oplus__class_Oplus(X5,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(resolution,[],[f570,f920]) ).
fof(f920,plain,
! [X6,X12] : c_HOL_Oord__class_Oless(X12,c_HOL_Oplus__class_Oplus(X6,c_Suc(X12),tc_nat),tc_nat),
inference(forward_demodulation,[],[f50,f826]) ).
fof(f50,axiom,
! [X6,X12] : c_HOL_Oord__class_Oless(X12,c_Suc(c_HOL_Oplus__class_Oplus(X6,X12,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc2_0) ).
fof(f570,axiom,
! [X7] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X7,tc_nat)
| c_Suc(c_HOL_Ominus__class_Ominus(X7,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__pred_0) ).
fof(f259,axiom,
! [X6,X7] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X7,c_HOL_Oplus__class_Oplus(X7,X6,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__0_0) ).
fof(f5125,plain,
( ~ spl0_101
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5021,f4896,f5122]) ).
fof(f5122,plain,
( spl0_101
<=> c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(v_n))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f5021,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(v_n))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1183,f4898]) ).
fof(f5120,plain,
( ~ spl0_100
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5022,f4896,f5117]) ).
fof(f5117,plain,
( spl0_100
<=> c_lessequals(c_Suc(c_Suc(c_Suc(v_n))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f5022,plain,
( ~ c_lessequals(c_Suc(c_Suc(c_Suc(v_n))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1184,f4898]) ).
fof(f1184,plain,
! [X3] : ~ c_lessequals(c_Suc(c_Suc(c_Suc(X3))),X3,tc_nat),
inference(resolution,[],[f1095,f92]) ).
fof(f92,axiom,
! [X6,X7] :
( c_HOL_Oord__class_Oless(X6,c_Suc(X7),tc_nat)
| ~ c_lessequals(X6,X7,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq__le_1) ).
fof(f5115,plain,
( ~ spl0_99
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5039,f4896,f5112]) ).
fof(f5112,plain,
( spl0_99
<=> c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(v_n),c_Suc(v_n),tc_nat),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f5039,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(v_n),c_Suc(v_n),tc_nat),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1524,f4898]) ).
fof(f1524,plain,
! [X0] : ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),c_Suc(X0),tc_nat),X0,tc_nat),
inference(resolution,[],[f458,f671]) ).
fof(f671,axiom,
! [X6,X7] :
( ~ c_lessequals(c_Suc(X7),X6,tc_nat)
| ~ c_lessequals(X6,X7,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_1) ).
fof(f458,axiom,
! [X6] : c_lessequals(X6,c_HOL_Otimes__class_Otimes(X6,X6,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__square_0) ).
fof(f5108,plain,
( spl0_98
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5042,f4896,f5105]) ).
fof(f5105,plain,
( spl0_98
<=> c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f5042,plain,
( c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1651,f4898]) ).
fof(f1651,plain,
! [X7] : c_HOL_Oord__class_Oless(X7,c_Suc(c_Suc(c_Suc(c_Suc(X7)))),tc_nat),
inference(resolution,[],[f1176,f631]) ).
fof(f1176,plain,
! [X7] : c_HOL_Oord__class_Oless(X7,c_Suc(c_Suc(c_Suc(X7))),tc_nat),
inference(resolution,[],[f953,f631]) ).
fof(f5103,plain,
( ~ spl0_97
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4962,f4896,f5100]) ).
fof(f5100,plain,
( spl0_97
<=> c_lessequals(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f4962,plain,
( ~ c_lessequals(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f639,f4898]) ).
fof(f639,axiom,
! [X7] : ~ c_lessequals(c_Suc(X7),X7,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
fof(f5098,plain,
( spl0_96
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4964,f4896,f5095]) ).
fof(f5095,plain,
( spl0_96
<=> c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(v_n),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f4964,plain,
( c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(v_n),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f644,f4898]) ).
fof(f5093,plain,
( spl0_95
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5020,f4896,f5090]) ).
fof(f5090,plain,
( spl0_95
<=> c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(v_n))),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f5020,plain,
( c_HOL_Oord__class_Oless(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(v_n))),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1176,f4898]) ).
fof(f5088,plain,
( ~ spl0_94
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5000,f4896,f5085]) ).
fof(f5085,plain,
( spl0_94
<=> c_HOL_Oord__class_Oless(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f5000,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1010,f4898]) ).
fof(f5081,plain,
( spl0_93
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5014,f4896,f5078]) ).
fof(f5078,plain,
( spl0_93
<=> c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(v_n)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f5014,plain,
( c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(v_n)),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1100,f4898]) ).
fof(f5076,plain,
( ~ spl0_92
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5013,f4896,f5073]) ).
fof(f5073,plain,
( spl0_92
<=> c_lessequals(c_Suc(c_Suc(v_n)),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f5013,plain,
( ~ c_lessequals(c_Suc(c_Suc(v_n)),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1096,f4898]) ).
fof(f1096,plain,
! [X3] : ~ c_lessequals(c_Suc(c_Suc(X3)),X3,tc_nat),
inference(resolution,[],[f1010,f92]) ).
fof(f5071,plain,
( ~ spl0_91
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5044,f4896,f5068]) ).
fof(f5068,plain,
( spl0_91
<=> c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f5044,plain,
( ~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1662,f4898]) ).
fof(f1662,plain,
! [X3] : ~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X3)))),X3,tc_nat),
inference(resolution,[],[f1183,f92]) ).
fof(f5066,plain,
( spl0_90
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5024,f4896,f5063]) ).
fof(f5063,plain,
( spl0_90
<=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f5024,plain,
( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(v_n),c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1243,f4898]) ).
fof(f1243,plain,
! [X4] : c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X4),X4,tc_nat),
inference(forward_demodulation,[],[f1237,f126]) ).
fof(f126,axiom,
! [X6] : c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X6,X6,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__self__eq__0_0) ).
fof(f1237,plain,
! [X4] : c_Suc(c_HOL_Ominus__class_Ominus(X4,X4,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X4),X4,tc_nat),
inference(resolution,[],[f2,f543]) ).
fof(f2,axiom,
! [X6,X7] :
( ~ c_lessequals(X7,X6,tc_nat)
| c_HOL_Ominus__class_Ominus(c_Suc(X6),X7,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X6,X7,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).
fof(f5061,plain,
( spl0_89
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5045,f4896,f5058]) ).
fof(f5058,plain,
( spl0_89
<=> c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f5045,plain,
( c_lessequals(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb),c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),tc_nat)
| ~ spl0_86 ),
inference(superposition,[],[f1673,f4898]) ).
fof(f1673,plain,
! [X2] : c_lessequals(X2,c_Suc(c_Suc(c_Suc(c_Suc(X2)))),tc_nat),
inference(resolution,[],[f1199,f641]) ).
fof(f4909,plain,
( spl0_88
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f4825,f1312,f4906]) ).
fof(f4906,plain,
( spl0_88
<=> c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xa,v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1312,plain,
( spl0_56
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f4825,plain,
( c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xa,v_xb))
| ~ spl0_56 ),
inference(resolution,[],[f679,f1314]) ).
fof(f1314,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f679,axiom,
! [X38,X28,X37,X7] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X28),X38,X7,X37)
| c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X28,X7,X38,X37)) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
fof(f4904,plain,
( spl0_87
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f4832,f2093,f4901]) ).
fof(f4901,plain,
( spl0_87
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f2093,plain,
( spl0_64
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f4832,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))
| ~ spl0_64 ),
inference(resolution,[],[f679,f2095]) ).
fof(f2095,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))),v_xb)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f4899,plain,
( spl0_86
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f4820,f777,f4896]) ).
fof(f4820,plain,
( c_Suc(v_n) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(v_n),v_xa,v_xb))
| ~ spl0_10 ),
inference(resolution,[],[f679,f779]) ).
fof(f779,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f4894,plain,
( spl0_85
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f4831,f1952,f4891]) ).
fof(f4891,plain,
( spl0_85
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1952,plain,
( spl0_61
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f4831,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))
| ~ spl0_61 ),
inference(resolution,[],[f679,f1954]) ).
fof(f1954,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))),v_xb)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f4889,plain,
( spl0_84
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f4827,f1317,f4886]) ).
fof(f4886,plain,
( spl0_84
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1317,plain,
( spl0_57
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f4827,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))
| ~ spl0_57 ),
inference(resolution,[],[f679,f1319]) ).
fof(f1319,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f4884,plain,
( spl0_83
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f4824,f1302,f4881]) ).
fof(f4881,plain,
( spl0_83
<=> c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xa,v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1302,plain,
( spl0_54
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f4824,plain,
( c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xa,v_xb))
| ~ spl0_54 ),
inference(resolution,[],[f679,f1304]) ).
fof(f1304,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f4879,plain,
( spl0_82
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f4833,f2141,f4876]) ).
fof(f4876,plain,
( spl0_82
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f2141,plain,
( spl0_65
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f4833,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))
| ~ spl0_65 ),
inference(resolution,[],[f679,f2143]) ).
fof(f2143,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))),v_xb)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f4874,plain,
( spl0_81
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f4828,f1281,f4871]) ).
fof(f4871,plain,
( spl0_81
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1281,plain,
( spl0_50
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f4828,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))
| ~ spl0_50 ),
inference(resolution,[],[f679,f1283]) ).
fof(f1283,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f4869,plain,
( spl0_80
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f4821,f1297,f4866]) ).
fof(f4866,plain,
( spl0_80
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(v_n)),v_xa,v_xb)) = c_Suc(c_Suc(v_n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1297,plain,
( spl0_53
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(v_n)),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f4821,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(v_n)),v_xa,v_xb)) = c_Suc(c_Suc(v_n))
| ~ spl0_53 ),
inference(resolution,[],[f679,f1299]) ).
fof(f1299,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(v_n)),v_xb)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f4864,plain,
( spl0_79
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4834,f3473,f4861]) ).
fof(f4861,plain,
( spl0_79
<=> c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))),v_xa,v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f3473,plain,
( spl0_66
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f4834,plain,
( c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))),v_xa,v_xb))
| ~ spl0_66 ),
inference(resolution,[],[f679,f3475]) ).
fof(f3475,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))),v_xb)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f3473]) ).
fof(f4859,plain,
( spl0_78
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4822,f1287,f4856]) ).
fof(f4856,plain,
( spl0_78
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(v_n))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(v_n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1287,plain,
( spl0_51
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f4822,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(v_n))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(v_n)))
| ~ spl0_51 ),
inference(resolution,[],[f679,f1289]) ).
fof(f1289,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f4854,plain,
( spl0_77
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f4829,f1385,f4851]) ).
fof(f4851,plain,
( spl0_77
<=> c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xa,v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1385,plain,
( spl0_58
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f4829,plain,
( c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xa,v_xb))
| ~ spl0_58 ),
inference(resolution,[],[f679,f1387]) ).
fof(f1387,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xb)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f4849,plain,
( spl0_76
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f4830,f1398,f4846]) ).
fof(f4846,plain,
( spl0_76
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1398,plain,
( spl0_59
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f4830,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))
| ~ spl0_59 ),
inference(resolution,[],[f679,f1400]) ).
fof(f1400,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))),v_xb)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f4844,plain,
( spl0_75
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f4826,f1292,f4841]) ).
fof(f4841,plain,
( spl0_75
<=> c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1292,plain,
( spl0_52
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f4826,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xa,v_xb)) = c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))
| ~ spl0_52 ),
inference(resolution,[],[f679,f1294]) ).
fof(f1294,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f4839,plain,
( spl0_74
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f4823,f1307,f4836]) ).
fof(f4836,plain,
( spl0_74
<=> c_Suc(c_Suc(c_Suc(c_Suc(v_n)))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xa,v_xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1307,plain,
( spl0_55
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f4823,plain,
( c_Suc(c_Suc(c_Suc(c_Suc(v_n)))) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xa,v_xb))
| ~ spl0_55 ),
inference(resolution,[],[f679,f1309]) ).
fof(f1309,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f4778,plain,
( spl0_73
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f4773,f4573,f4775]) ).
fof(f4775,plain,
( spl0_73
<=> c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f4573,plain,
( spl0_71
<=> c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f4773,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_71 ),
inference(resolution,[],[f4628,f341]) ).
fof(f341,axiom,
! [X38] : c_Natural_Oevalc(c_Com_Ocom_OSKIP,X38,X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).
fof(f4628,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevalc(X0,v_xb,X1)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),X0),v_xa,X1) )
| ~ spl0_71 ),
inference(resolution,[],[f4575,f284]) ).
fof(f284,axiom,
! [X36,X37,X34,X35,X33] :
( ~ c_Natural_Oevalc(X33,X35,X37)
| ~ c_Natural_Oevalc(X34,X37,X36)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(X33,X34),X35,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).
fof(f4575,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f4573]) ).
fof(f4636,plain,
( spl0_72
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f4631,f4468,f4633]) ).
fof(f4633,plain,
( spl0_72
<=> c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f4468,plain,
( spl0_70
<=> c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f4631,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_70 ),
inference(resolution,[],[f4472,f341]) ).
fof(f4472,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevalc(X0,v_xb,X1)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),X0),v_xa,X1) )
| ~ spl0_70 ),
inference(resolution,[],[f4470,f284]) ).
fof(f4470,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f4468]) ).
fof(f4576,plain,
( spl0_71
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4571,f4377,f4573]) ).
fof(f4377,plain,
( spl0_69
<=> c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f4571,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_69 ),
inference(resolution,[],[f4415,f341]) ).
fof(f4415,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevalc(X0,v_xb,X1)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),X0),v_xa,X1) )
| ~ spl0_69 ),
inference(resolution,[],[f4379,f284]) ).
fof(f4379,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f4377]) ).
fof(f4471,plain,
( spl0_70
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f4466,f4272,f4468]) ).
fof(f4272,plain,
( spl0_68
<=> c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f4466,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_68 ),
inference(resolution,[],[f4347,f341]) ).
fof(f4347,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevalc(X0,v_xb,X1)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),X0),v_xa,X1) )
| ~ spl0_68 ),
inference(resolution,[],[f4274,f284]) ).
fof(f4274,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f4272]) ).
fof(f4380,plain,
( spl0_69
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f4375,f2077,f4377]) ).
fof(f2077,plain,
( spl0_63
<=> c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f4375,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_63 ),
inference(resolution,[],[f4269,f341]) ).
fof(f4269,plain,
( ! [X6,X5] :
( ~ c_Natural_Oevalc(X5,v_xb,X6)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X5),v_xa,X6) )
| ~ spl0_63 ),
inference(resolution,[],[f284,f2079]) ).
fof(f2079,plain,
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_xb)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f4275,plain,
( spl0_68
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f4270,f1983,f4272]) ).
fof(f1983,plain,
( spl0_62
<=> c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f4270,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),c_Com_Ocom_OSKIP),v_xa,v_xb)
| ~ spl0_62 ),
inference(resolution,[],[f4268,f341]) ).
fof(f4268,plain,
( ! [X3,X4] :
( ~ c_Natural_Oevalc(X3,v_xb,X4)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OBODY(v_pn),X3),v_xa,X4) )
| ~ spl0_62 ),
inference(resolution,[],[f284,f1985]) ).
fof(f1985,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f3496,plain,
( spl0_67
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3491,f3473,f3493]) ).
fof(f3493,plain,
( spl0_67
<=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f3491,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))))),v_xb)
| ~ spl0_66 ),
inference(resolution,[],[f3475,f648]) ).
fof(f648,axiom,
! [X38,X47,X7,X4] :
( ~ c_Natural_Oevaln(X4,X38,X7,X47)
| c_Natural_Oevaln(X4,X38,c_Suc(X7),X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
fof(f3476,plain,
( spl0_66
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f3471,f2141,f3473]) ).
fof(f3471,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))))),v_xb)
| ~ spl0_65 ),
inference(resolution,[],[f2143,f648]) ).
fof(f2144,plain,
( spl0_65
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f2139,f2093,f2141]) ).
fof(f2139,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))))),v_xb)
| ~ spl0_64 ),
inference(resolution,[],[f2095,f648]) ).
fof(f2096,plain,
( spl0_64
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2091,f1952,f2093]) ).
fof(f2091,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))))),v_xb)
| ~ spl0_61 ),
inference(resolution,[],[f1954,f648]) ).
fof(f2080,plain,
( spl0_63
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2075,f1983,f2077]) ).
fof(f2075,plain,
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_xb)
| ~ spl0_62 ),
inference(resolution,[],[f1985,f635]) ).
fof(f635,axiom,
! [X38,X28,X37] :
( ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X28),X38,X37)
| c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X28),tc_Com_Ocom),X38,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I6_J_0) ).
fof(f1996,plain,
( spl0_62
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1971,f1297,f1983]) ).
fof(f1971,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_53 ),
inference(resolution,[],[f689,f1299]) ).
fof(f689,axiom,
! [X38,X39,X7,X4] :
( ~ c_Natural_Oevaln(X4,X38,X7,X39)
| c_Natural_Oevalc(X4,X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).
fof(f1995,plain,
( spl0_62
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1979,f1385,f1983]) ).
fof(f1979,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_58 ),
inference(resolution,[],[f689,f1387]) ).
fof(f1994,plain,
( spl0_62
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1976,f1292,f1983]) ).
fof(f1976,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_52 ),
inference(resolution,[],[f689,f1294]) ).
fof(f1993,plain,
( spl0_62
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1972,f1287,f1983]) ).
fof(f1972,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_51 ),
inference(resolution,[],[f689,f1289]) ).
fof(f1992,plain,
( spl0_62
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1970,f777,f1983]) ).
fof(f1970,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_10 ),
inference(resolution,[],[f689,f779]) ).
fof(f1991,plain,
( spl0_62
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1974,f1302,f1983]) ).
fof(f1974,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_54 ),
inference(resolution,[],[f689,f1304]) ).
fof(f1990,plain,
( spl0_62
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1980,f1398,f1983]) ).
fof(f1980,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_59 ),
inference(resolution,[],[f689,f1400]) ).
fof(f1989,plain,
( spl0_62
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1978,f1281,f1983]) ).
fof(f1978,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_50 ),
inference(resolution,[],[f689,f1283]) ).
fof(f1988,plain,
( spl0_62
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1975,f1312,f1983]) ).
fof(f1975,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_56 ),
inference(resolution,[],[f689,f1314]) ).
fof(f1987,plain,
( spl0_62
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1977,f1317,f1983]) ).
fof(f1977,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_57 ),
inference(resolution,[],[f689,f1319]) ).
fof(f1986,plain,
( spl0_62
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1973,f1307,f1983]) ).
fof(f1973,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_xa,v_xb)
| ~ spl0_55 ),
inference(resolution,[],[f689,f1309]) ).
fof(f1955,plain,
( spl0_61
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1950,f1398,f1952]) ).
fof(f1950,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))))),v_xb)
| ~ spl0_59 ),
inference(resolution,[],[f1400,f648]) ).
fof(f1936,plain,
( spl0_60
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1931,f1264,f1933]) ).
fof(f1933,plain,
( spl0_60
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1264,plain,
( spl0_49
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1931,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xb)
| ~ spl0_49 ),
inference(resolution,[],[f1266,f648]) ).
fof(f1266,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1401,plain,
( spl0_59
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1396,f1385,f1398]) ).
fof(f1396,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))))),v_xb)
| ~ spl0_58 ),
inference(resolution,[],[f1387,f648]) ).
fof(f1388,plain,
( spl0_58
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1383,f1281,f1385]) ).
fof(f1383,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))))),v_xb)
| ~ spl0_50 ),
inference(resolution,[],[f1283,f648]) ).
fof(f1374,plain,
( spl0_50
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1373,f1317,f1281]) ).
fof(f1373,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb)
| ~ spl0_57 ),
inference(resolution,[],[f1319,f648]) ).
fof(f1372,plain,
( spl0_57
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1371,f1292,f1317]) ).
fof(f1371,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb)
| ~ spl0_52 ),
inference(resolution,[],[f1294,f648]) ).
fof(f1366,plain,
( spl0_52
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1365,f1312,f1292]) ).
fof(f1365,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb)
| ~ spl0_56 ),
inference(resolution,[],[f1314,f648]) ).
fof(f1343,plain,
( spl0_56
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1342,f1302,f1312]) ).
fof(f1342,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb)
| ~ spl0_54 ),
inference(resolution,[],[f1304,f648]) ).
fof(f1337,plain,
( spl0_54
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1336,f1307,f1302]) ).
fof(f1336,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb)
| ~ spl0_55 ),
inference(resolution,[],[f1309,f648]) ).
fof(f1329,plain,
( spl0_55
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1328,f1287,f1307]) ).
fof(f1328,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb)
| ~ spl0_51 ),
inference(resolution,[],[f1289,f648]) ).
fof(f1324,plain,
( spl0_51
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1323,f1297,f1287]) ).
fof(f1323,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb)
| ~ spl0_53 ),
inference(resolution,[],[f1299,f648]) ).
fof(f1322,plain,
( spl0_53
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1321,f777,f1297]) ).
fof(f1321,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(v_n)),v_xb)
| ~ spl0_10 ),
inference(resolution,[],[f779,f648]) ).
fof(f1320,plain,
( spl0_57
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1278,f1120,f1317]) ).
fof(f1120,plain,
( spl0_46
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1278,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb)
| ~ spl0_46 ),
inference(resolution,[],[f673,f1122]) ).
fof(f1122,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f673,axiom,
! [X37,X44,X7,X35] :
( ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X44),tc_Com_Ocom),X35,X7,X37)
| c_Natural_Oevaln(c_Com_Ocom_OBODY(X44),X35,c_Suc(X7),X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OBody_0) ).
fof(f1315,plain,
( spl0_56
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1276,f1108,f1312]) ).
fof(f1108,plain,
( spl0_44
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1276,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb)
| ~ spl0_44 ),
inference(resolution,[],[f673,f1110]) ).
fof(f1110,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1310,plain,
( spl0_55
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1274,f1020,f1307]) ).
fof(f1020,plain,
( spl0_41
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1274,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb)
| ~ spl0_41 ),
inference(resolution,[],[f673,f1022]) ).
fof(f1022,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1305,plain,
( spl0_54
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1275,f1026,f1302]) ).
fof(f1026,plain,
( spl0_42
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1275,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb)
| ~ spl0_42 ),
inference(resolution,[],[f673,f1028]) ).
fof(f1028,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1300,plain,
( spl0_53
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1272,f997,f1297]) ).
fof(f997,plain,
( spl0_39
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(v_n),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1272,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(v_n)),v_xb)
| ~ spl0_39 ),
inference(resolution,[],[f673,f999]) ).
fof(f999,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1295,plain,
( spl0_52
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1277,f1114,f1292]) ).
fof(f1114,plain,
( spl0_45
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1277,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb)
| ~ spl0_45 ),
inference(resolution,[],[f673,f1116]) ).
fof(f1116,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1290,plain,
( spl0_51
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1273,f1004,f1287]) ).
fof(f1004,plain,
( spl0_40
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(v_n)),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1273,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb)
| ~ spl0_40 ),
inference(resolution,[],[f673,f1006]) ).
fof(f1006,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(v_n)),v_xb)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1285,plain,
( spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1271,f741,f777]) ).
fof(f1271,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_3 ),
inference(resolution,[],[f673,f743]) ).
fof(f1284,plain,
( spl0_50
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1279,f1252,f1281]) ).
fof(f1252,plain,
( spl0_48
<=> c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1279,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb)
| ~ spl0_48 ),
inference(resolution,[],[f673,f1254]) ).
fof(f1254,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1267,plain,
( spl0_49
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1262,f1252,f1264]) ).
fof(f1262,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))))),v_xb)
| ~ spl0_48 ),
inference(resolution,[],[f1254,f648]) ).
fof(f1255,plain,
( spl0_48
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1250,f1120,f1252]) ).
fof(f1250,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))))),v_xb)
| ~ spl0_46 ),
inference(resolution,[],[f1122,f648]) ).
fof(f1136,plain,
( spl0_47
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1131,f869,f1133]) ).
fof(f1133,plain,
( spl0_47
<=> c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f869,plain,
( spl0_26
<=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1131,plain,
( c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1130,f499]) ).
fof(f1130,plain,
( c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1124,f669]) ).
fof(f1124,plain,
( c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
| ~ spl0_26 ),
inference(superposition,[],[f191,f871]) ).
fof(f871,plain,
( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f191,axiom,
! [X6,X7] : c_HOL_Otimes__class_Otimes(c_Suc(X6),X7,tc_nat) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Otimes__class_Otimes(X6,X7,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc_0) ).
fof(f1123,plain,
( spl0_46
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1118,f1114,f1120]) ).
fof(f1118,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))))),v_xb)
| ~ spl0_45 ),
inference(resolution,[],[f1116,f648]) ).
fof(f1117,plain,
( spl0_45
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1112,f1108,f1114]) ).
fof(f1112,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n)))))),v_xb)
| ~ spl0_44 ),
inference(resolution,[],[f1110,f648]) ).
fof(f1111,plain,
( spl0_44
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1106,f1026,f1108]) ).
fof(f1106,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(v_n))))),v_xb)
| ~ spl0_42 ),
inference(resolution,[],[f1028,f648]) ).
fof(f1092,plain,
( spl0_43
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1087,f869,f1089]) ).
fof(f1089,plain,
( spl0_43
<=> c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1087,plain,
( c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1086,f499]) ).
fof(f1086,plain,
( c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1082,f669]) ).
fof(f1082,plain,
( c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
| ~ spl0_26 ),
inference(superposition,[],[f190,f871]) ).
fof(f190,axiom,
! [X6,X7] : c_HOL_Otimes__class_Otimes(X6,c_Suc(X7),tc_nat) = c_HOL_Oplus__class_Oplus(X6,c_HOL_Otimes__class_Otimes(X6,X7,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc__right_0) ).
fof(f1029,plain,
( spl0_42
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1024,f1020,f1026]) ).
fof(f1024,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(c_Suc(v_n)))),v_xb)
| ~ spl0_41 ),
inference(resolution,[],[f1022,f648]) ).
fof(f1023,plain,
( spl0_41
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1018,f1004,f1020]) ).
fof(f1018,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(c_Suc(v_n))),v_xb)
| ~ spl0_40 ),
inference(resolution,[],[f1006,f648]) ).
fof(f1007,plain,
( spl0_40
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1002,f997,f1004]) ).
fof(f1002,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(c_Suc(v_n)),v_xb)
| ~ spl0_39 ),
inference(resolution,[],[f999,f648]) ).
fof(f1000,plain,
( spl0_39
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f995,f741,f997]) ).
fof(f995,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,c_Suc(v_n),v_xb)
| ~ spl0_3 ),
inference(resolution,[],[f648,f743]) ).
fof(f943,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_10
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f942,f935,f777,f737,f781]) ).
fof(f935,plain,
( spl0_37
<=> ! [X38,X57,X47] :
( ~ hBOOL(hAPP(hAPP(v_P,X57),X38))
| hBOOL(hAPP(hAPP(v_Q,X57),X47))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X38,c_Suc(v_n),X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f942,plain,
( hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| ~ spl0_2
| ~ spl0_10
| ~ spl0_37 ),
inference(resolution,[],[f941,f779]) ).
fof(f941,plain,
( ! [X0] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),X0)
| hBOOL(hAPP(hAPP(v_Q,v_x),X0)) )
| ~ spl0_2
| ~ spl0_37 ),
inference(resolution,[],[f936,f739]) ).
fof(f739,plain,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f936,plain,
( ! [X38,X47,X57] :
( ~ hBOOL(hAPP(hAPP(v_P,X57),X38))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X38,c_Suc(v_n),X47)
| hBOOL(hAPP(hAPP(v_Q,X57),X47)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f940,plain,
( spl0_37
| spl0_38 ),
inference(avatar_split_clause,[],[f700,f938,f935]) ).
fof(f700,axiom,
! [X38,X56,X54,X57,X55,X47] :
( ~ hBOOL(hAPP(hAPP(v_P,X54),X56))
| ~ hBOOL(hAPP(hAPP(v_P,X57),X38))
| hBOOL(hAPP(hAPP(v_Q,X54),X55))
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),X56,v_n,X55)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X38,c_Suc(v_n),X47)
| hBOOL(hAPP(hAPP(v_Q,X57),X47)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f933,plain,
spl0_36,
inference(avatar_split_clause,[],[f714,f930]) ).
fof(f930,plain,
( spl0_36
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f714,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
fof(f927,plain,
( ~ spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f696,f741,f781]) ).
fof(f696,axiom,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f926,plain,
spl0_35,
inference(avatar_split_clause,[],[f708,f923]) ).
fof(f923,plain,
( spl0_35
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f708,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f918,plain,
spl0_34,
inference(avatar_split_clause,[],[f713,f915]) ).
fof(f915,plain,
( spl0_34
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f713,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
fof(f913,plain,
spl0_33,
inference(avatar_split_clause,[],[f718,f910]) ).
fof(f910,plain,
( spl0_33
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f718,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
fof(f908,plain,
spl0_32,
inference(avatar_split_clause,[],[f702,f905]) ).
fof(f905,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f702,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f903,plain,
spl0_31,
inference(avatar_split_clause,[],[f725,f900]) ).
fof(f900,plain,
( spl0_31
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f725,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f898,plain,
spl0_30,
inference(avatar_split_clause,[],[f723,f895]) ).
fof(f895,plain,
( spl0_30
<=> class_OrderedGroup_Omonoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f723,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).
fof(f892,plain,
spl0_29,
inference(avatar_split_clause,[],[f707,f889]) ).
fof(f889,plain,
( spl0_29
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f707,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f885,plain,
spl0_28,
inference(avatar_split_clause,[],[f272,f882]) ).
fof(f882,plain,
( spl0_28
<=> c_Com_OWT(c_Com_Ocom_OSKIP) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f272,axiom,
c_Com_OWT(c_Com_Ocom_OSKIP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OSkip_0) ).
fof(f880,plain,
spl0_27,
inference(avatar_split_clause,[],[f727,f877]) ).
fof(f877,plain,
( spl0_27
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f727,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f872,plain,
spl0_26,
inference(avatar_split_clause,[],[f209,f869]) ).
fof(f209,axiom,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__1__iff_2) ).
fof(f867,plain,
spl0_25,
inference(avatar_split_clause,[],[f719,f864]) ).
fof(f864,plain,
( spl0_25
<=> class_Ring__and__Field_Omult__mono1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f719,axiom,
class_Ring__and__Field_Omult__mono1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono1) ).
fof(f862,plain,
spl0_24,
inference(avatar_split_clause,[],[f717,f859]) ).
fof(f859,plain,
( spl0_24
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f717,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring) ).
fof(f857,plain,
spl0_23,
inference(avatar_split_clause,[],[f712,f854]) ).
fof(f854,plain,
( spl0_23
<=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f712,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).
fof(f850,plain,
spl0_22,
inference(avatar_split_clause,[],[f704,f847]) ).
fof(f847,plain,
( spl0_22
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f704,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f845,plain,
spl0_21,
inference(avatar_split_clause,[],[f715,f842]) ).
fof(f842,plain,
( spl0_21
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f715,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__mult) ).
fof(f839,plain,
( spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f693,f781,f737]) ).
fof(f693,axiom,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f838,plain,
spl0_20,
inference(avatar_split_clause,[],[f724,f835]) ).
fof(f835,plain,
( spl0_20
<=> class_Divides_Osemiring__div(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f724,axiom,
class_Divides_Osemiring__div(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
fof(f833,plain,
spl0_19,
inference(avatar_split_clause,[],[f653,f830]) ).
fof(f830,plain,
( spl0_19
<=> v_x = c_Fun_Oid(v_x,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f653,axiom,
v_x = c_Fun_Oid(v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__def_0) ).
fof(f825,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f695,f777,f741]) ).
fof(f695,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb)
| c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f824,plain,
spl0_18,
inference(avatar_split_clause,[],[f722,f821]) ).
fof(f821,plain,
( spl0_18
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f722,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring) ).
fof(f819,plain,
spl0_17,
inference(avatar_split_clause,[],[f705,f816]) ).
fof(f816,plain,
( spl0_17
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f705,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring__strict) ).
fof(f814,plain,
spl0_16,
inference(avatar_split_clause,[],[f710,f811]) ).
fof(f811,plain,
( spl0_16
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f710,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__semiring) ).
fof(f809,plain,
spl0_15,
inference(avatar_split_clause,[],[f253,f806]) ).
fof(f806,plain,
( spl0_15
<=> c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f253,axiom,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_5) ).
fof(f804,plain,
spl0_14,
inference(avatar_split_clause,[],[f703,f801]) ).
fof(f801,plain,
( spl0_14
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f703,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f799,plain,
( spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f697,f781,f737]) ).
fof(f697,axiom,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f796,plain,
spl0_13,
inference(avatar_split_clause,[],[f706,f793]) ).
fof(f793,plain,
( spl0_13
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f706,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f791,plain,
spl0_12,
inference(avatar_split_clause,[],[f716,f788]) ).
fof(f788,plain,
( spl0_12
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f716,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
fof(f786,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f692,f737,f777]) ).
fof(f692,axiom,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f785,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f729,f781]) ).
fof(f729,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)),
inference(duplicate_literal_removal,[],[f699]) ).
fof(f699,axiom,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f784,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f698,f781,f777]) ).
fof(f698,axiom,
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb))
| c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Suc(v_n),v_xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f775,plain,
spl0_9,
inference(avatar_split_clause,[],[f726,f772]) ).
fof(f772,plain,
( spl0_9
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f726,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f770,plain,
spl0_8,
inference(avatar_split_clause,[],[f709,f767]) ).
fof(f767,plain,
( spl0_8
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f709,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
fof(f765,plain,
spl0_7,
inference(avatar_split_clause,[],[f677,f762]) ).
fof(f762,plain,
( spl0_7
<=> v_P = c_COMBI(v_P,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f677,axiom,
v_P = c_COMBI(v_P,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
fof(f760,plain,
spl0_6,
inference(avatar_split_clause,[],[f720,f757]) ).
fof(f757,plain,
( spl0_6
<=> class_Ring__and__Field_Omult__zero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f720,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).
fof(f755,plain,
spl0_2,
inference(avatar_split_clause,[],[f730,f737]) ).
fof(f730,plain,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(duplicate_literal_removal,[],[f691]) ).
fof(f691,axiom,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f754,plain,
spl0_5,
inference(avatar_split_clause,[],[f711,f751]) ).
fof(f751,plain,
( spl0_5
<=> class_Ring__and__Field_Oordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f711,axiom,
class_Ring__and__Field_Oordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring) ).
fof(f749,plain,
spl0_4,
inference(avatar_split_clause,[],[f701,f746]) ).
fof(f746,plain,
( spl0_4
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f701,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f744,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f694,f741,f737]) ).
fof(f694,axiom,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_xa,v_n,v_xb)
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f735,plain,
spl0_1,
inference(avatar_split_clause,[],[f721,f732]) ).
fof(f732,plain,
( spl0_1
<=> class_Ring__and__Field_Omult__mono(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f721,axiom,
class_Ring__and__Field_Omult__mono(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV822-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37 % Computer : n003.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 30 20:00:53 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.53 % (21342)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.54 % (21351)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.23/0.54 % (21343)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.23/0.54 % (21350)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.23/0.55 % (21331)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.23/0.55 % (21330)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.55 % (21339)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.55 % (21347)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.23/0.56 % (21333)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.58 % (21333)Instruction limit reached!
% 0.23/0.58 % (21333)------------------------------
% 0.23/0.58 % (21333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.58 % (21333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.58 % (21333)Termination reason: Unknown
% 0.23/0.58 % (21333)Termination phase: Saturation
% 0.23/0.58
% 0.23/0.58 % (21333)Memory used [KB]: 6268
% 0.23/0.58 % (21333)Time elapsed: 0.007 s
% 0.23/0.58 % (21333)Instructions burned: 7 (million)
% 0.23/0.58 % (21333)------------------------------
% 0.23/0.58 % (21333)------------------------------
% 0.23/0.58 % (21353)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.23/0.58 % (21336)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.23/0.59 % (21345)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.23/0.59 % (21326)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.23/0.59 % (21354)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.23/0.59 % (21337)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.23/0.60 % (21338)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.23/0.60 % (21329)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.60 % (21334)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.60 % (21328)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.23/0.60 % (21346)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.23/0.60 % (21332)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.60 % (21355)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.23/0.61 % (21352)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.23/0.61 % (21344)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.23/0.62 % (21327)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.23/0.62 % (21334)Instruction limit reached!
% 0.23/0.62 % (21334)------------------------------
% 0.23/0.62 % (21334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.62 % (21334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.62 % (21334)Termination reason: Unknown
% 0.23/0.62 % (21334)Termination phase: Unused predicate definition removal
% 0.23/0.62
% 0.23/0.62 % (21334)Memory used [KB]: 1663
% 0.23/0.62 % (21334)Time elapsed: 0.004 s
% 0.23/0.62 % (21334)Instructions burned: 2 (million)
% 0.23/0.62 % (21334)------------------------------
% 0.23/0.62 % (21334)------------------------------
% 0.23/0.62 % (21348)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.23/0.62 % (21330)Instruction limit reached!
% 0.23/0.62 % (21330)------------------------------
% 0.23/0.62 % (21330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.62 % (21340)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.45/0.63 % (21341)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.45/0.64 % (21330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.64 % (21330)Termination reason: Unknown
% 1.45/0.64 % (21330)Termination phase: Saturation
% 1.45/0.64
% 1.45/0.64 % (21330)Memory used [KB]: 6652
% 1.45/0.64 % (21330)Time elapsed: 0.025 s
% 1.45/0.64 % (21330)Instructions burned: 52 (million)
% 1.45/0.64 % (21330)------------------------------
% 1.45/0.64 % (21330)------------------------------
% 1.45/0.64 % (21335)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.64 % (21331)Instruction limit reached!
% 1.45/0.64 % (21331)------------------------------
% 1.45/0.64 % (21331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.64 % (21331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.64 % (21331)Termination reason: Unknown
% 1.45/0.64 % (21331)Termination phase: Saturation
% 1.45/0.64
% 1.45/0.64 % (21331)Memory used [KB]: 6652
% 1.45/0.64 % (21331)Time elapsed: 0.193 s
% 1.45/0.64 % (21331)Instructions burned: 48 (million)
% 1.45/0.64 % (21331)------------------------------
% 1.45/0.64 % (21331)------------------------------
% 1.45/0.64 % (21343)Instruction limit reached!
% 1.45/0.64 % (21343)------------------------------
% 1.45/0.64 % (21343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.64 % (21343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.64 % (21343)Termination reason: Unknown
% 1.45/0.64 % (21343)Termination phase: Finite model building preprocessing
% 1.45/0.64
% 1.45/0.64 % (21343)Memory used [KB]: 3198
% 1.45/0.64 % (21343)Time elapsed: 0.028 s
% 1.45/0.64 % (21343)Instructions burned: 59 (million)
% 1.45/0.64 % (21343)------------------------------
% 1.45/0.64 % (21343)------------------------------
% 1.45/0.65 % (21349)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.76/0.67 % (21328)Instruction limit reached!
% 1.76/0.67 % (21328)------------------------------
% 1.76/0.67 % (21328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.67 % (21328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.67 % (21328)Termination reason: Unknown
% 1.76/0.67 % (21328)Termination phase: Saturation
% 1.76/0.67
% 1.76/0.67 % (21328)Memory used [KB]: 1918
% 1.76/0.67 % (21328)Time elapsed: 0.023 s
% 1.76/0.67 % (21328)Instructions burned: 37 (million)
% 1.76/0.67 % (21328)------------------------------
% 1.76/0.67 % (21328)------------------------------
% 1.76/0.67 % (21332)Instruction limit reached!
% 1.76/0.67 % (21332)------------------------------
% 1.76/0.67 % (21332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.67 % (21332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.67 % (21332)Termination reason: Unknown
% 1.76/0.67 % (21332)Termination phase: Finite model building preprocessing
% 1.76/0.67
% 1.76/0.67 % (21332)Memory used [KB]: 2942
% 1.76/0.67 % (21332)Time elapsed: 0.027 s
% 1.76/0.67 % (21332)Instructions burned: 53 (million)
% 1.76/0.67 % (21332)------------------------------
% 1.76/0.67 % (21332)------------------------------
% 1.76/0.69 % (21336)Instruction limit reached!
% 1.76/0.69 % (21336)------------------------------
% 1.76/0.69 % (21336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.69 % (21336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.69 % (21336)Termination reason: Unknown
% 1.76/0.69 % (21336)Termination phase: Saturation
% 1.76/0.69
% 1.76/0.69 % (21336)Memory used [KB]: 6780
% 1.76/0.69 % (21336)Time elapsed: 0.234 s
% 1.76/0.69 % (21336)Instructions burned: 50 (million)
% 1.76/0.69 % (21336)------------------------------
% 1.76/0.69 % (21336)------------------------------
% 1.76/0.70 % (21329)Instruction limit reached!
% 1.76/0.70 % (21329)------------------------------
% 1.76/0.70 % (21329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.71 % (21342)Instruction limit reached!
% 2.05/0.71 % (21342)------------------------------
% 2.05/0.71 % (21342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.71 % (21342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.71 % (21342)Termination reason: Unknown
% 2.05/0.71 % (21342)Termination phase: Saturation
% 2.05/0.71
% 2.05/0.71 % (21342)Memory used [KB]: 7036
% 2.05/0.71 % (21342)Time elapsed: 0.240 s
% 2.05/0.71 % (21342)Instructions burned: 100 (million)
% 2.05/0.71 % (21342)------------------------------
% 2.05/0.71 % (21342)------------------------------
% 2.05/0.72 % (21329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.72 % (21329)Termination reason: Unknown
% 2.05/0.72 % (21329)Termination phase: Saturation
% 2.05/0.72
% 2.05/0.72 % (21329)Memory used [KB]: 6780
% 2.05/0.72 % (21329)Time elapsed: 0.219 s
% 2.05/0.72 % (21329)Instructions burned: 52 (million)
% 2.05/0.72 % (21329)------------------------------
% 2.05/0.72 % (21329)------------------------------
% 2.05/0.72 % (21356)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.05/0.73 % (21327)Instruction limit reached!
% 2.05/0.73 % (21327)------------------------------
% 2.05/0.73 % (21327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.73 % (21339)Instruction limit reached!
% 2.05/0.73 % (21339)------------------------------
% 2.05/0.73 % (21339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.74 % (21352)Instruction limit reached!
% 2.25/0.74 % (21352)------------------------------
% 2.25/0.74 % (21352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.74 % (21339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.74 % (21339)Termination reason: Unknown
% 2.25/0.74 % (21339)Termination phase: Saturation
% 2.25/0.74
% 2.25/0.74 % (21339)Memory used [KB]: 7164
% 2.25/0.74 % (21339)Time elapsed: 0.273 s
% 2.25/0.74 % (21339)Instructions burned: 99 (million)
% 2.25/0.74 % (21339)------------------------------
% 2.25/0.74 % (21339)------------------------------
% 2.25/0.74 % (21327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.74 % (21327)Termination reason: Unknown
% 2.25/0.74 % (21327)Termination phase: Saturation
% 2.25/0.74
% 2.25/0.74 % (21327)Memory used [KB]: 6780
% 2.25/0.74 % (21327)Time elapsed: 0.269 s
% 2.25/0.74 % (21327)Instructions burned: 50 (million)
% 2.25/0.74 % (21327)------------------------------
% 2.25/0.74 % (21327)------------------------------
% 2.25/0.75 % (21352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.75 % (21352)Termination reason: Unknown
% 2.25/0.75 % (21352)Termination phase: Saturation
% 2.25/0.75
% 2.25/0.75 % (21352)Memory used [KB]: 7675
% 2.25/0.75 % (21352)Time elapsed: 0.046 s
% 2.25/0.75 % (21352)Instructions burned: 69 (million)
% 2.25/0.75 % (21352)------------------------------
% 2.25/0.75 % (21352)------------------------------
% 2.25/0.75 % (21335)Instruction limit reached!
% 2.25/0.75 % (21335)------------------------------
% 2.25/0.75 % (21335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.76 % (21335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.76 % (21335)Termination reason: Unknown
% 2.25/0.76 % (21335)Termination phase: Saturation
% 2.25/0.76
% 2.25/0.76 % (21335)Memory used [KB]: 2430
% 2.25/0.76 % (21335)Time elapsed: 0.266 s
% 2.25/0.76 % (21335)Instructions burned: 52 (million)
% 2.25/0.76 % (21335)------------------------------
% 2.25/0.76 % (21335)------------------------------
% 2.25/0.77 % (21338)Instruction limit reached!
% 2.25/0.77 % (21338)------------------------------
% 2.25/0.77 % (21338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.77 % (21338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.77 % (21338)Termination reason: Unknown
% 2.25/0.77 % (21338)Termination phase: Saturation
% 2.25/0.77
% 2.25/0.77 % (21338)Memory used [KB]: 7164
% 2.25/0.77 % (21338)Time elapsed: 0.309 s
% 2.25/0.77 % (21338)Instructions burned: 101 (million)
% 2.25/0.77 % (21338)------------------------------
% 2.25/0.77 % (21338)------------------------------
% 2.25/0.77 % (21357)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.25/0.77 % (21341)Instruction limit reached!
% 2.25/0.77 % (21341)------------------------------
% 2.25/0.77 % (21341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.77 % (21341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.77 % (21341)Termination reason: Unknown
% 2.25/0.77 % (21341)Termination phase: Saturation
% 2.25/0.77
% 2.25/0.77 % (21341)Memory used [KB]: 2430
% 2.25/0.77 % (21341)Time elapsed: 0.282 s
% 2.25/0.77 % (21341)Instructions burned: 75 (million)
% 2.25/0.77 % (21341)------------------------------
% 2.25/0.77 % (21341)------------------------------
% 2.25/0.78 % (21340)Instruction limit reached!
% 2.25/0.78 % (21340)------------------------------
% 2.25/0.78 % (21340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.78 % (21340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.78 % (21340)Termination reason: Unknown
% 2.25/0.78 % (21340)Termination phase: Saturation
% 2.25/0.78
% 2.25/0.78 % (21340)Memory used [KB]: 7547
% 2.25/0.78 % (21340)Time elapsed: 0.045 s
% 2.25/0.78 % (21340)Instructions burned: 69 (million)
% 2.25/0.78 % (21340)------------------------------
% 2.25/0.78 % (21340)------------------------------
% 2.25/0.78 % (21359)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.25/0.78 % (21345)Instruction limit reached!
% 2.25/0.78 % (21345)------------------------------
% 2.25/0.78 % (21345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.78 % (21345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.78 % (21345)Termination reason: Unknown
% 2.25/0.78 % (21345)Termination phase: Saturation
% 2.25/0.78
% 2.25/0.78 % (21345)Memory used [KB]: 2558
% 2.25/0.78 % (21345)Time elapsed: 0.297 s
% 2.25/0.78 % (21345)Instructions burned: 101 (million)
% 2.25/0.78 % (21345)------------------------------
% 2.25/0.78 % (21345)------------------------------
% 2.25/0.79 % (21337)Instruction limit reached!
% 2.25/0.79 % (21337)------------------------------
% 2.25/0.79 % (21337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.79 % (21337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.79 % (21337)Termination reason: Unknown
% 2.25/0.79 % (21337)Termination phase: Saturation
% 2.25/0.79
% 2.25/0.79 % (21337)Memory used [KB]: 7419
% 2.25/0.79 % (21337)Time elapsed: 0.303 s
% 2.25/0.79 % (21337)Instructions burned: 101 (million)
% 2.25/0.79 % (21337)------------------------------
% 2.25/0.79 % (21337)------------------------------
% 2.25/0.80 TRYING [1]
% 2.25/0.81 % (21361)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.25/0.82 % (21362)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.25/0.82 % (21360)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.25/0.83 % (21363)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.65/0.84 % (21344)Instruction limit reached!
% 2.65/0.84 % (21344)------------------------------
% 2.65/0.84 % (21344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.84 % (21344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.84 % (21344)Termination reason: Unknown
% 2.65/0.84 % (21344)Termination phase: Saturation
% 2.65/0.84
% 2.65/0.84 % (21344)Memory used [KB]: 7291
% 2.65/0.84 % (21344)Time elapsed: 0.380 s
% 2.65/0.84 % (21344)Instructions burned: 101 (million)
% 2.65/0.84 % (21344)------------------------------
% 2.65/0.84 % (21344)------------------------------
% 2.65/0.85 % (21358)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.65/0.85 % (21347)Instruction limit reached!
% 2.65/0.85 % (21347)------------------------------
% 2.65/0.85 % (21347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.85 % (21347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.85 % (21347)Termination reason: Unknown
% 2.65/0.85 % (21347)Termination phase: Saturation
% 2.65/0.85
% 2.65/0.85 % (21347)Memory used [KB]: 7675
% 2.65/0.85 % (21347)Time elapsed: 0.402 s
% 2.65/0.85 % (21347)Instructions burned: 139 (million)
% 2.65/0.85 % (21347)------------------------------
% 2.65/0.85 % (21347)------------------------------
% 2.65/0.85 % (21364)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.65/0.86 TRYING [2]
% 2.65/0.87 % (21366)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.65/0.88 % (21367)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.65/0.88 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.88 % (21365)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.83/0.91 % (21370)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.83/0.91 % (21368)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.83/0.91 % (21369)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.83/0.91 % (21373)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.83/0.92 % (21371)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.83/0.94 % (21372)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.83/0.94 % (21346)Instruction limit reached!
% 2.83/0.94 % (21346)------------------------------
% 2.83/0.94 % (21346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.94 % (21346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.94 % (21346)Termination reason: Unknown
% 2.83/0.94 % (21346)Termination phase: Saturation
% 2.83/0.94
% 2.83/0.94 % (21346)Memory used [KB]: 8059
% 2.83/0.94 % (21346)Time elapsed: 0.480 s
% 2.83/0.94 % (21346)Instructions burned: 177 (million)
% 2.83/0.94 % (21346)------------------------------
% 2.83/0.94 % (21346)------------------------------
% 2.83/0.94 % (21353)Instruction limit reached!
% 2.83/0.94 % (21353)------------------------------
% 2.83/0.94 % (21353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.94 % (21353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.94 % (21353)Termination reason: Unknown
% 2.83/0.94 % (21353)Termination phase: Saturation
% 2.83/0.94
% 2.83/0.94 % (21353)Memory used [KB]: 3582
% 2.83/0.94 % (21353)Time elapsed: 0.457 s
% 2.83/0.94 % (21353)Instructions burned: 178 (million)
% 2.83/0.94 % (21353)------------------------------
% 2.83/0.94 % (21353)------------------------------
% 2.83/0.95 % (21363)Instruction limit reached!
% 2.83/0.95 % (21363)------------------------------
% 2.83/0.95 % (21363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.95 % (21363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.95 % (21363)Termination reason: Unknown
% 2.83/0.95 % (21363)Termination phase: Saturation
% 2.83/0.95
% 2.83/0.95 % (21363)Memory used [KB]: 7675
% 2.83/0.95 % (21363)Time elapsed: 0.035 s
% 2.83/0.95 % (21363)Instructions burned: 68 (million)
% 2.83/0.95 % (21363)------------------------------
% 2.83/0.95 % (21363)------------------------------
% 3.07/0.96 % (21374)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.07/0.98 % (21376)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.13/1.00 % (21375)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.13/1.01 % (21358)Instruction limit reached!
% 3.13/1.01 % (21358)------------------------------
% 3.13/1.01 % (21358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/1.01 % (21358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/1.01 % (21358)Termination reason: Unknown
% 3.13/1.01 % (21358)Termination phase: Saturation
% 3.13/1.01
% 3.13/1.01 % (21358)Memory used [KB]: 7036
% 3.13/1.01 % (21358)Time elapsed: 0.284 s
% 3.13/1.01 % (21358)Instructions burned: 90 (million)
% 3.13/1.01 % (21358)------------------------------
% 3.13/1.01 % (21358)------------------------------
% 3.34/1.04 % (21373)Instruction limit reached!
% 3.34/1.04 % (21373)------------------------------
% 3.34/1.04 % (21373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/1.04 % (21366)Instruction limit reached!
% 3.34/1.04 % (21366)------------------------------
% 3.34/1.04 % (21366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/1.04 % (21366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/1.04 % (21366)Termination reason: Unknown
% 3.34/1.04 % (21366)Termination phase: Saturation
% 3.34/1.04
% 3.34/1.04 % (21366)Memory used [KB]: 7164
% 3.34/1.04 % (21366)Time elapsed: 0.263 s
% 3.34/1.04 % (21366)Instructions burned: 91 (million)
% 3.34/1.04 % (21366)------------------------------
% 3.34/1.04 % (21366)------------------------------
% 3.34/1.04 % (21373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/1.04 % (21373)Termination reason: Unknown
% 3.34/1.04 % (21373)Termination phase: Saturation
% 3.34/1.04
% 3.34/1.04 % (21373)Memory used [KB]: 7675
% 3.34/1.04 % (21373)Time elapsed: 0.036 s
% 3.34/1.04 % (21373)Instructions burned: 69 (million)
% 3.34/1.04 % (21373)------------------------------
% 3.34/1.04 % (21373)------------------------------
% 3.34/1.07 % (21379)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.34/1.08 % (21378)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.34/1.10 % (21377)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.34/1.15 % (21380)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.37/1.18 % (21382)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.37/1.18 % (21381)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.37/1.20 % (21357)Instruction limit reached!
% 5.37/1.20 % (21357)------------------------------
% 5.37/1.20 % (21357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.37/1.20 % (21357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.37/1.20 % (21357)Termination reason: Unknown
% 5.37/1.20 % (21357)Termination phase: Saturation
% 5.37/1.20
% 5.37/1.20 % (21357)Memory used [KB]: 3965
% 5.37/1.20 % (21357)Time elapsed: 0.548 s
% 5.37/1.20 % (21357)Instructions burned: 213 (million)
% 5.37/1.20 % (21357)------------------------------
% 5.37/1.20 % (21357)------------------------------
% 5.82/1.23 % (21378)Instruction limit reached!
% 5.82/1.23 % (21378)------------------------------
% 5.82/1.23 % (21378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.82/1.23 % (21378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.82/1.23 % (21378)Termination reason: Unknown
% 5.82/1.23 % (21378)Termination phase: Saturation
% 5.82/1.23
% 5.82/1.23 % (21378)Memory used [KB]: 7036
% 5.82/1.23 % (21378)Time elapsed: 0.249 s
% 5.82/1.23 % (21378)Instructions burned: 91 (million)
% 5.82/1.23 % (21378)------------------------------
% 5.82/1.23 % (21378)------------------------------
% 5.82/1.24 TRYING [3]
% 6.24/1.34 % (21383)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 6.24/1.35 % (21349)Instruction limit reached!
% 6.24/1.35 % (21349)------------------------------
% 6.24/1.35 % (21349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.35 % (21349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.35 % (21349)Termination reason: Unknown
% 6.24/1.35 % (21349)Termination phase: Saturation
% 6.24/1.35
% 6.24/1.35 % (21349)Memory used [KB]: 9722
% 6.24/1.35 % (21349)Time elapsed: 0.852 s
% 6.24/1.35 % (21349)Instructions burned: 467 (million)
% 6.24/1.35 % (21349)------------------------------
% 6.24/1.35 % (21349)------------------------------
% 6.75/1.36 % (21355)Instruction limit reached!
% 6.75/1.36 % (21355)------------------------------
% 6.75/1.36 % (21355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.75/1.36 % (21355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.75/1.36 % (21355)Termination reason: Unknown
% 6.75/1.36 % (21355)Termination phase: Saturation
% 6.75/1.36
% 6.75/1.36 % (21355)Memory used [KB]: 10746
% 6.75/1.36 % (21355)Time elapsed: 0.900 s
% 6.75/1.36 % (21355)Instructions burned: 356 (million)
% 6.75/1.36 % (21355)------------------------------
% 6.75/1.36 % (21355)------------------------------
% 6.81/1.39 % (21350)Instruction limit reached!
% 6.81/1.39 % (21350)------------------------------
% 6.81/1.39 % (21350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.39 % (21350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.39 % (21350)Termination reason: Unknown
% 6.81/1.39 % (21350)Termination phase: Saturation
% 6.81/1.39
% 6.81/1.39 % (21350)Memory used [KB]: 10106
% 6.81/1.39 % (21350)Time elapsed: 0.928 s
% 6.81/1.39 % (21350)Instructions burned: 483 (million)
% 6.81/1.39 % (21350)------------------------------
% 6.81/1.39 % (21350)------------------------------
% 6.81/1.40 % (21384)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.19/1.45 % (21356)Instruction limit reached!
% 7.19/1.45 % (21356)------------------------------
% 7.19/1.45 % (21356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.19/1.45 % (21356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.19/1.45 % (21356)Termination reason: Unknown
% 7.19/1.45 % (21356)Termination phase: Saturation
% 7.19/1.45
% 7.19/1.45 % (21356)Memory used [KB]: 9083
% 7.19/1.45 % (21356)Time elapsed: 0.833 s
% 7.19/1.45 % (21356)Instructions burned: 389 (million)
% 7.19/1.45 % (21356)------------------------------
% 7.19/1.45 % (21356)------------------------------
% 7.19/1.49 % (21385)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 7.19/1.49 % (21354)Instruction limit reached!
% 7.19/1.49 % (21354)------------------------------
% 7.19/1.49 % (21354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.19/1.49 % (21354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.19/1.49 % (21354)Termination reason: Unknown
% 7.19/1.49 % (21354)Termination phase: Saturation
% 7.19/1.49
% 7.19/1.49 % (21354)Memory used [KB]: 10234
% 7.19/1.49 % (21354)Time elapsed: 0.998 s
% 7.19/1.49 % (21354)Instructions burned: 440 (million)
% 7.19/1.49 % (21354)------------------------------
% 7.19/1.49 % (21354)------------------------------
% 7.19/1.50 % (21386)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.65/1.54 % (21387)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 7.65/1.55 % (21362)Instruction limit reached!
% 7.65/1.55 % (21362)------------------------------
% 7.65/1.55 % (21362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.65/1.55 % (21362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.65/1.55 % (21362)Termination reason: Unknown
% 7.65/1.55 % (21362)Termination phase: Saturation
% 7.65/1.55
% 7.65/1.55 % (21362)Memory used [KB]: 3837
% 7.65/1.55 % (21362)Time elapsed: 0.828 s
% 7.65/1.55 % (21362)Instructions burned: 655 (million)
% 7.65/1.55 % (21362)------------------------------
% 7.65/1.55 % (21362)------------------------------
% 7.65/1.56 % (21351)Instruction limit reached!
% 7.65/1.56 % (21351)------------------------------
% 7.65/1.56 % (21351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.65/1.56 % (21351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.65/1.56 % (21351)Termination reason: Unknown
% 7.65/1.56 % (21351)Termination phase: Saturation
% 7.65/1.56
% 7.65/1.56 % (21351)Memory used [KB]: 11129
% 7.65/1.56 % (21351)Time elapsed: 1.081 s
% 7.65/1.56 % (21351)Instructions burned: 501 (million)
% 7.65/1.56 % (21351)------------------------------
% 7.65/1.56 % (21351)------------------------------
% 7.65/1.57 % (21388)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 8.04/1.65 % (21348)Instruction limit reached!
% 8.04/1.65 % (21348)------------------------------
% 8.04/1.65 % (21348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.04/1.65 % (21348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.04/1.65 % (21348)Termination reason: Unknown
% 8.04/1.65 % (21348)Termination phase: Saturation
% 8.04/1.65
% 8.04/1.65 % (21348)Memory used [KB]: 4989
% 8.04/1.65 % (21348)Time elapsed: 1.176 s
% 8.04/1.65 % (21348)Instructions burned: 500 (million)
% 8.04/1.65 % (21348)------------------------------
% 8.04/1.65 % (21348)------------------------------
% 8.43/1.68 % (21387)Instruction limit reached!
% 8.43/1.68 % (21387)------------------------------
% 8.43/1.68 % (21387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.43/1.68 % (21387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.43/1.68 % (21387)Termination reason: Unknown
% 8.43/1.68 % (21387)Termination phase: Saturation
% 8.43/1.68
% 8.43/1.68 % (21387)Memory used [KB]: 7164
% 8.43/1.68 % (21387)Time elapsed: 0.273 s
% 8.43/1.68 % (21387)Instructions burned: 90 (million)
% 8.43/1.68 % (21387)------------------------------
% 8.43/1.68 % (21387)------------------------------
% 8.43/1.69 % (21391)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 8.43/1.69 % (21389)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4958Mi)
% 8.43/1.69 % (21390)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/35256Mi)
% 9.74/1.76 % (21392)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/37001Mi)
% 10.34/1.86 % (21393)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/10187Mi)
% 10.65/1.91 % (21361)Instruction limit reached!
% 10.65/1.91 % (21361)------------------------------
% 10.65/1.91 % (21361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.65/1.91 % (21361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.65/1.91 % (21361)Termination reason: Unknown
% 10.65/1.91 % (21361)Termination phase: Saturation
% 10.65/1.91
% 10.65/1.91 % (21361)Memory used [KB]: 12665
% 10.65/1.91 % (21361)Time elapsed: 1.193 s
% 10.65/1.91 % (21361)Instructions burned: 747 (million)
% 10.65/1.91 % (21361)------------------------------
% 10.65/1.91 % (21361)------------------------------
% 11.54/2.03 % (21394)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/29337Mi)
% 11.54/2.03 % (21369)First to succeed.
% 11.85/2.06 % (21369)Refutation found. Thanks to Tanya!
% 11.85/2.06 % SZS status Unsatisfiable for theBenchmark
% 11.85/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 11.85/2.06 % (21369)------------------------------
% 11.85/2.06 % (21369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.85/2.06 % (21369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.85/2.06 % (21369)Termination reason: Refutation
% 11.85/2.06
% 11.85/2.06 % (21369)Memory used [KB]: 4861
% 11.85/2.06 % (21369)Time elapsed: 1.237 s
% 11.85/2.06 % (21369)Instructions burned: 663 (million)
% 11.85/2.06 % (21369)------------------------------
% 11.85/2.06 % (21369)------------------------------
% 11.85/2.06 % (21323)Success in time 1.671 s
%------------------------------------------------------------------------------