TSTP Solution File: LCL808-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL808-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 07:53:34 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 138
% Syntax : Number of formulae : 261 ( 84 unt; 0 def)
% Number of atoms : 586 ( 80 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 600 ( 275 ~; 247 |; 0 &)
% ( 78 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 90 ( 88 usr; 79 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 386 ( 386 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f85,f90,f95,f100,f105,f110,f115,f120,f124,f128,f132,f137,f141,f145,f149,f153,f157,f161,f165,f169,f173,f177,f181,f185,f189,f193,f197,f201,f206,f214,f218,f222,f226,f236,f241,f245,f249,f253,f257,f261,f265,f269,f273,f277,f281,f296,f300,f326,f330,f334,f347,f351,f390,f394,f398,f402,f406,f410,f414,f459,f478,f498,f504,f517,f521,f525,f531,f537,f541,f545,f553,f559,f565,f569,f573,f599,f603,f617]) ).
fof(f617,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_1
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f595,f571,f77,f134,f87]) ).
fof(f87,plain,
( spl0_3
<=> c_InductTermi_OIT(v_u____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f134,plain,
( spl0_13
<=> c_Type_Otyping(v_e____,v_u____,v_T____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f77,plain,
( spl0_1
<=> c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f571,plain,
( spl0_76
<=> ! [X0] :
( ~ c_Type_Otyping(v_e____,X0,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X0,v_i____))
| ~ c_InductTermi_OIT(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f595,plain,
( ~ c_Type_Otyping(v_e____,v_u____,v_T____)
| ~ c_InductTermi_OIT(v_u____)
| spl0_1
| ~ spl0_76 ),
inference(resolution,[],[f572,f79]) ).
fof(f79,plain,
( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))
| spl0_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f572,plain,
( ! [X0] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X0,v_i____))
| ~ c_Type_Otyping(v_e____,X0,v_T____)
| ~ c_InductTermi_OIT(X0) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f603,plain,
( ~ spl0_4
| spl0_78
| ~ spl0_33
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f430,f396,f220,f601,f92]) ).
fof(f92,plain,
( spl0_4
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f601,plain,
( spl0_78
<=> ! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f220,plain,
( spl0_33
<=> ! [X2] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X2
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f396,plain,
( spl0_56
<=> ! [X2,X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f430,plain,
( ! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_nat) )
| ~ spl0_33
| ~ spl0_56 ),
inference(resolution,[],[f397,f221]) ).
fof(f221,plain,
( ! [X2] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = X2 )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f397,plain,
( ! [X2,X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X0) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f599,plain,
( spl0_77
| ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f320,f298,f220,f597]) ).
fof(f597,plain,
( spl0_77
<=> ! [X0] :
( c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Olift(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),X0)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f298,plain,
( spl0_48
<=> ! [X14,X15] :
( ~ c_HOL_Oord__class_Oless(X14,X15,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Olift(c_Lambda_OdB_OVar(X14),X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f320,plain,
( ! [X0] :
( c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Olift(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),X0)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0 )
| ~ spl0_33
| ~ spl0_48 ),
inference(resolution,[],[f299,f221]) ).
fof(f299,plain,
( ! [X14,X15] :
( ~ c_HOL_Oord__class_Oless(X14,X15,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Olift(c_Lambda_OdB_OVar(X14),X15) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f573,plain,
( spl0_76
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f499,f496,f203,f571]) ).
fof(f203,plain,
( spl0_30
<=> c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f496,plain,
( spl0_63
<=> ! [X24,X23,X25,X26] :
( ~ c_InductTermi_OIT(X23)
| ~ c_Type_Otyping(X25,X23,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X23,X24))
| ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_b____,X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f499,plain,
( ! [X0] :
( ~ c_Type_Otyping(v_e____,X0,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X0,v_i____))
| ~ c_InductTermi_OIT(X0) )
| ~ spl0_30
| ~ spl0_63 ),
inference(resolution,[],[f497,f205]) ).
fof(f205,plain,
( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f497,plain,
( ! [X26,X24,X25,X23] :
( ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_b____,X26)
| ~ c_Type_Otyping(X25,X23,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X23,X24))
| ~ c_InductTermi_OIT(X23) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f569,plain,
( spl0_75
| ~ spl0_29
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f343,f332,f199,f567]) ).
fof(f567,plain,
( spl0_75
<=> ! [X0,X3,X2,X1] :
( c_Lambda_Obeta(c_Lambda_Osubst(X3,X2,X1),X0)
| ~ c_Lambda_Obeta(X3,c_Lambda_Olift(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f199,plain,
( spl0_29
<=> ! [X11,X12,X15] : c_Lambda_Osubst(c_Lambda_Olift(X12,X15),X11,X15) = X12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f332,plain,
( spl0_51
<=> ! [X11,X13,X14,X12] :
( ~ c_Lambda_Obeta(X13,X11)
| c_Lambda_Obeta(c_Lambda_Osubst(X13,X12,X14),c_Lambda_Osubst(X11,X12,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f343,plain,
( ! [X2,X3,X0,X1] :
( c_Lambda_Obeta(c_Lambda_Osubst(X3,X2,X1),X0)
| ~ c_Lambda_Obeta(X3,c_Lambda_Olift(X0,X1)) )
| ~ spl0_29
| ~ spl0_51 ),
inference(superposition,[],[f333,f200]) ).
fof(f200,plain,
( ! [X11,X15,X12] : c_Lambda_Osubst(c_Lambda_Olift(X12,X15),X11,X15) = X12
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f333,plain,
( ! [X11,X14,X12,X13] :
( c_Lambda_Obeta(c_Lambda_Osubst(X13,X12,X14),c_Lambda_Osubst(X11,X12,X14))
| ~ c_Lambda_Obeta(X13,X11) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f565,plain,
( spl0_74
| ~ spl0_29
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f341,f332,f199,f563]) ).
fof(f563,plain,
( spl0_74
<=> ! [X0,X3,X2,X1] :
( c_Lambda_Obeta(X0,c_Lambda_Osubst(X3,X2,X1))
| ~ c_Lambda_Obeta(c_Lambda_Olift(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f341,plain,
( ! [X2,X3,X0,X1] :
( c_Lambda_Obeta(X0,c_Lambda_Osubst(X3,X2,X1))
| ~ c_Lambda_Obeta(c_Lambda_Olift(X0,X1),X3) )
| ~ spl0_29
| ~ spl0_51 ),
inference(superposition,[],[f333,f200]) ).
fof(f559,plain,
( spl0_73
| ~ spl0_25
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f285,f251,f183,f557]) ).
fof(f557,plain,
( spl0_73
<=> ! [X0,X1] :
( c_Lambda_OdB_OAbs(X1) = c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,c_Lambda_OdB_OAbs(X1)))
| ~ c_Lambda_Obeta(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f183,plain,
( spl0_25
<=> ! [X11,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OAbs(X11),c_Lambda_OdB_OAbs(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f251,plain,
( spl0_39
<=> ! [X13,X11] :
( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X13),X11)
| c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X13,X11)) = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f285,plain,
( ! [X0,X1] :
( c_Lambda_OdB_OAbs(X1) = c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,c_Lambda_OdB_OAbs(X1)))
| ~ c_Lambda_Obeta(X0,X1) )
| ~ spl0_25
| ~ spl0_39 ),
inference(resolution,[],[f252,f184]) ).
fof(f184,plain,
( ! [X11,X12] :
( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X11),c_Lambda_OdB_OAbs(X12))
| ~ c_Lambda_Obeta(X11,X12) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f252,plain,
( ! [X11,X13] :
( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X13),X11)
| c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X13,X11)) = X11 )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f553,plain,
( spl0_72
| ~ spl0_24
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f342,f332,f179,f551]) ).
fof(f551,plain,
( spl0_72
<=> ! [X2,X0,X1] :
( c_Lambda_Obeta(c_Lambda_Osubst(X2,X1,X0),X1)
| ~ c_Lambda_Obeta(X2,c_Lambda_OdB_OVar(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f179,plain,
( spl0_24
<=> ! [X16,X15] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X15),X16,X15) = X16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f342,plain,
( ! [X2,X0,X1] :
( c_Lambda_Obeta(c_Lambda_Osubst(X2,X1,X0),X1)
| ~ c_Lambda_Obeta(X2,c_Lambda_OdB_OVar(X0)) )
| ~ spl0_24
| ~ spl0_51 ),
inference(superposition,[],[f333,f180]) ).
fof(f180,plain,
( ! [X16,X15] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X15),X16,X15) = X16
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f545,plain,
( spl0_71
| ~ spl0_21
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f486,f476,f167,f543]) ).
fof(f543,plain,
( spl0_71
<=> ! [X4,X0,X3,X2,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2) != c_Lambda_OdB_OAbs(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f167,plain,
( spl0_21
<=> ! [X20,X17,X19] : c_Lambda_OdB_OAbs(X17) != c_Lambda_OdB_OApp(X19,X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f476,plain,
( spl0_62
<=> ! [X15,X11,X12,X16] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X12,X16),X11,X15) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X12,X11,X15),c_Lambda_Osubst(X16,X11,X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1,X4] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2) != c_Lambda_OdB_OAbs(X4)
| ~ spl0_21
| ~ spl0_62 ),
inference(superposition,[],[f168,f477]) ).
fof(f477,plain,
( ! [X11,X16,X15,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X12,X16),X11,X15) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X12,X11,X15),c_Lambda_Osubst(X16,X11,X15))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f168,plain,
( ! [X19,X17,X20] : c_Lambda_OdB_OAbs(X17) != c_Lambda_OdB_OApp(X19,X20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f541,plain,
( spl0_70
| ~ spl0_20
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f485,f476,f163,f539]) ).
fof(f539,plain,
( spl0_70
<=> ! [X4,X0,X3,X2,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2) != c_Lambda_OdB_OVar(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f163,plain,
( spl0_20
<=> ! [X9,X8,X10] : c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OVar(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1,X4] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2) != c_Lambda_OdB_OVar(X4)
| ~ spl0_20
| ~ spl0_62 ),
inference(superposition,[],[f164,f477]) ).
fof(f164,plain,
( ! [X10,X8,X9] : c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OVar(X10)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f537,plain,
( spl0_69
| ~ spl0_29
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f288,f267,f199,f535]) ).
fof(f535,plain,
( spl0_69
<=> ! [X0,X1] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Ozero__class_Ozero(tc_nat))),X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f267,plain,
( spl0_43
<=> ! [X11,X12] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X11),X12),c_Lambda_Osubst(X11,X12,c_HOL_Ozero__class_Ozero(tc_nat))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f288,plain,
( ! [X0,X1] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Ozero__class_Ozero(tc_nat))),X1),X0)
| ~ spl0_29
| ~ spl0_43 ),
inference(superposition,[],[f268,f200]) ).
fof(f268,plain,
( ! [X11,X12] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X11),X12),c_Lambda_Osubst(X11,X12,c_HOL_Ozero__class_Ozero(tc_nat)))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f531,plain,
( spl0_68
| ~ spl0_34
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f480,f408,f224,f529]) ).
fof(f529,plain,
( spl0_68
<=> ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f224,plain,
( spl0_34
<=> ! [X13,X11] :
( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X13),X11)
| c_Lambda_Obeta(X13,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X13,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f408,plain,
( spl0_59
<=> ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f480,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)))),X1)
| ~ spl0_34
| ~ spl0_59 ),
inference(resolution,[],[f409,f225]) ).
fof(f225,plain,
( ! [X11,X13] :
( c_Lambda_Obeta(X13,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X13,X11))
| ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X13),X11) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f409,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0))),X1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f525,plain,
( spl0_67
| ~ spl0_21
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f378,f349,f167,f523]) ).
fof(f523,plain,
( spl0_67
<=> ! [X2,X0,X1,X3] : c_Lambda_Olift(c_Lambda_OdB_OApp(X0,X2),X1) != c_Lambda_OdB_OAbs(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f349,plain,
( spl0_53
<=> ! [X11,X12,X15] : c_Lambda_Olift(c_Lambda_OdB_OApp(X11,X12),X15) = c_Lambda_OdB_OApp(c_Lambda_Olift(X11,X15),c_Lambda_Olift(X12,X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f378,plain,
( ! [X2,X3,X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OApp(X0,X2),X1) != c_Lambda_OdB_OAbs(X3)
| ~ spl0_21
| ~ spl0_53 ),
inference(superposition,[],[f168,f350]) ).
fof(f350,plain,
( ! [X11,X15,X12] : c_Lambda_Olift(c_Lambda_OdB_OApp(X11,X12),X15) = c_Lambda_OdB_OApp(c_Lambda_Olift(X11,X15),c_Lambda_Olift(X12,X15))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f521,plain,
( spl0_66
| ~ spl0_20
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f377,f349,f163,f519]) ).
fof(f519,plain,
( spl0_66
<=> ! [X2,X0,X1,X3] : c_Lambda_Olift(c_Lambda_OdB_OApp(X0,X2),X1) != c_Lambda_OdB_OVar(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OApp(X0,X2),X1) != c_Lambda_OdB_OVar(X3)
| ~ spl0_20
| ~ spl0_53 ),
inference(superposition,[],[f164,f350]) ).
fof(f517,plain,
( spl0_65
| ~ spl0_24
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f287,f267,f179,f515]) ).
fof(f515,plain,
( spl0_65
<=> ! [X0] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f287,plain,
( ! [X0] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),X0),X0)
| ~ spl0_24
| ~ spl0_43 ),
inference(superposition,[],[f268,f180]) ).
fof(f504,plain,
( spl0_64
| ~ spl0_5
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f227,f216,f97,f501]) ).
fof(f501,plain,
( spl0_64
<=> c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f97,plain,
( spl0_5
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f216,plain,
( spl0_32
<=> ! [X0] :
( ~ class_Ring__and__Field_Osemiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f227,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ spl0_5
| ~ spl0_32 ),
inference(resolution,[],[f217,f99]) ).
fof(f99,plain,
( class_Ring__and__Field_Osemiring__1(tc_nat)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f217,plain,
( ! [X0] :
( ~ class_Ring__and__Field_Osemiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f498,plain,
spl0_63,
inference(avatar_split_clause,[],[f66,f496]) ).
fof(f66,axiom,
! [X26,X24,X25,X23] :
( ~ c_InductTermi_OIT(X23)
| ~ c_Type_Otyping(X25,X23,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X23,X24))
| ~ c_Type_Otyping(c_Type_Oshift(X25,X24,v_T____,tc_Type_Otype),v_b____,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f478,plain,
spl0_62,
inference(avatar_split_clause,[],[f54,f476]) ).
fof(f54,axiom,
! [X11,X16,X15,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X12,X16),X11,X15) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X12,X11,X15),c_Lambda_Osubst(X16,X11,X15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__App_0) ).
fof(f459,plain,
spl0_61,
inference(avatar_split_clause,[],[f39,f457]) ).
fof(f457,plain,
( spl0_61
<=> ! [X11,X14,X15] :
( X14 = X15
| c_HOL_Oord__class_Oless(X15,X14,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X14),X11,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f39,axiom,
! [X11,X14,X15] :
( X14 = X15
| c_HOL_Oord__class_Oless(X15,X14,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X14),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Var_2) ).
fof(f414,plain,
spl0_60,
inference(avatar_split_clause,[],[f27,f412]) ).
fof(f412,plain,
( spl0_60
<=> ! [X5,X0,X6,X7] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X5,X6,X0)
| ~ c_HOL_Oord__class_Oless(X7,X5,X0)
| c_HOL_Oord__class_Oless(X7,X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f27,axiom,
! [X0,X6,X7,X5] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X5,X6,X0)
| ~ c_HOL_Oord__class_Oless(X7,X5,X0)
| c_HOL_Oord__class_Oless(X7,X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
fof(f410,plain,
( spl0_59
| ~ spl0_34
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f291,f275,f224,f408]) ).
fof(f275,plain,
( spl0_45
<=> ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f291,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0))),X1)
| ~ spl0_34
| ~ spl0_45 ),
inference(resolution,[],[f276,f225]) ).
fof(f276,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)),X1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f406,plain,
spl0_58,
inference(avatar_split_clause,[],[f26,f404]) ).
fof(f404,plain,
( spl0_58
<=> ! [X6,X0,X5,X7] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X5,X0)
| ~ c_HOL_Oord__class_Oless(X5,X7,X0)
| c_HOL_Oord__class_Oless(X6,X7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f26,axiom,
! [X0,X6,X7,X5] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X5,X0)
| ~ c_HOL_Oord__class_Oless(X5,X7,X0)
| c_HOL_Oord__class_Oless(X6,X7,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
fof(f402,plain,
spl0_57,
inference(avatar_split_clause,[],[f13,f400]) ).
fof(f400,plain,
( spl0_57
<=> ! [X2,X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f13,axiom,
! [X2,X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__0__less__iff_1) ).
fof(f398,plain,
spl0_56,
inference(avatar_split_clause,[],[f12,f396]) ).
fof(f12,axiom,
! [X2,X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__0__less__iff_0) ).
fof(f394,plain,
spl0_55,
inference(avatar_split_clause,[],[f5,f392]) ).
fof(f392,plain,
( spl0_55
<=> ! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__less__iff_0) ).
fof(f390,plain,
spl0_54,
inference(avatar_split_clause,[],[f4,f388]) ).
fof(f388,plain,
( spl0_54
<=> ! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__less__iff_1) ).
fof(f351,plain,
spl0_53,
inference(avatar_split_clause,[],[f40,f349]) ).
fof(f40,axiom,
! [X11,X15,X12] : c_Lambda_Olift(c_Lambda_OdB_OApp(X11,X12),X15) = c_Lambda_OdB_OApp(c_Lambda_Olift(X11,X15),c_Lambda_Olift(X12,X15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift_Osimps_I2_J_0) ).
fof(f347,plain,
spl0_52,
inference(avatar_split_clause,[],[f15,f345]) ).
fof(f345,plain,
( spl0_52
<=> ! [X6,X0,X5] :
( ~ class_Orderings_Olinorder(X0)
| X5 = X6
| c_HOL_Oord__class_Oless(X5,X6,X0)
| c_HOL_Oord__class_Oless(X6,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f15,axiom,
! [X0,X6,X5] :
( ~ class_Orderings_Olinorder(X0)
| X5 = X6
| c_HOL_Oord__class_Oless(X5,X6,X0)
| c_HOL_Oord__class_Oless(X6,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
fof(f334,plain,
spl0_51,
inference(avatar_split_clause,[],[f60,f332]) ).
fof(f60,axiom,
! [X11,X14,X12,X13] :
( ~ c_Lambda_Obeta(X13,X11)
| c_Lambda_Obeta(c_Lambda_Osubst(X13,X12,X14),c_Lambda_Osubst(X11,X12,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__preserves__beta_0) ).
fof(f330,plain,
spl0_50,
inference(avatar_split_clause,[],[f49,f328]) ).
fof(f328,plain,
( spl0_50
<=> ! [X21,X16,X14] :
( ~ c_HOL_Oord__class_Oless(X21,X14,tc_nat)
| c_Lambda_OdB_OVar(X21) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X21),X16,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f49,axiom,
! [X21,X16,X14] :
( ~ c_HOL_Oord__class_Oless(X21,X14,tc_nat)
| c_Lambda_OdB_OVar(X21) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X21),X16,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lt_0) ).
fof(f326,plain,
spl0_49,
inference(avatar_split_clause,[],[f3,f324]) ).
fof(f324,plain,
( spl0_49
<=> ! [X2,X0,X1] :
( ~ class_Nat_Osemiring__char__0(X0)
| X1 = X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ class_Nat_Osemiring__char__0(X0)
| X1 = X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__eq__iff_0) ).
fof(f300,plain,
spl0_48,
inference(avatar_split_clause,[],[f35,f298]) ).
fof(f35,axiom,
! [X14,X15] :
( ~ c_HOL_Oord__class_Oless(X14,X15,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Olift(c_Lambda_OdB_OVar(X14),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift_Osimps_I1_J_0) ).
fof(f296,plain,
spl0_47,
inference(avatar_split_clause,[],[f18,f294]) ).
fof(f294,plain,
( spl0_47
<=> ! [X2,X1] :
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f18,axiom,
! [X2,X1] :
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).
fof(f281,plain,
spl0_46,
inference(avatar_split_clause,[],[f46,f279]) ).
fof(f279,plain,
( spl0_46
<=> ! [X19,X20,X9,X8] :
( X8 = X19
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f46,axiom,
! [X8,X19,X9,X20] :
( X8 = X19
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I2_J_0) ).
fof(f277,plain,
( spl0_45
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f237,f224,f130,f275]) ).
fof(f130,plain,
( spl0_12
<=> ! [X12,X14] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X14),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f237,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)),X1)
| ~ spl0_12
| ~ spl0_34 ),
inference(resolution,[],[f225,f131]) ).
fof(f131,plain,
( ! [X14,X12] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X14),X12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f273,plain,
spl0_44,
inference(avatar_split_clause,[],[f45,f271]) ).
fof(f271,plain,
( spl0_44
<=> ! [X20,X9,X8,X19] :
( X9 = X20
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f45,axiom,
! [X8,X19,X9,X20] :
( X9 = X20
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I2_J_1) ).
fof(f269,plain,
spl0_43,
inference(avatar_split_clause,[],[f44,f267]) ).
fof(f44,axiom,
! [X11,X12] : c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X11),X12),c_Lambda_Osubst(X11,X12,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta_0) ).
fof(f265,plain,
spl0_42,
inference(avatar_split_clause,[],[f37,f263]) ).
fof(f263,plain,
( spl0_42
<=> ! [X11,X16,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X16,X11),c_Lambda_OdB_OApp(X16,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f37,axiom,
! [X11,X16,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X16,X11),c_Lambda_OdB_OApp(X16,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_appR_0) ).
fof(f261,plain,
spl0_41,
inference(avatar_split_clause,[],[f36,f259]) ).
fof(f259,plain,
( spl0_41
<=> ! [X11,X16,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X11,X16),c_Lambda_OdB_OApp(X12,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f36,axiom,
! [X11,X16,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X11,X16),c_Lambda_OdB_OApp(X12,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_appL_0) ).
fof(f257,plain,
spl0_40,
inference(avatar_split_clause,[],[f34,f255]) ).
fof(f255,plain,
( spl0_40
<=> ! [X13,X11,X14] :
( ~ c_Lambda_Obeta(X13,X11)
| c_Lambda_Obeta(c_Lambda_Olift(X13,X14),c_Lambda_Olift(X11,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f34,axiom,
! [X11,X14,X13] :
( ~ c_Lambda_Obeta(X13,X11)
| c_Lambda_Obeta(c_Lambda_Olift(X13,X14),c_Lambda_Olift(X11,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__preserves__beta_0) ).
fof(f253,plain,
spl0_39,
inference(avatar_split_clause,[],[f32,f251]) ).
fof(f32,axiom,
! [X11,X13] :
( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X13),X11)
| c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X13,X11)) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta__cases_I2_J_0) ).
fof(f249,plain,
spl0_38,
inference(avatar_split_clause,[],[f9,f247]) ).
fof(f247,plain,
( spl0_38
<=> ! [X4,X0,X3] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X3,X4,X0)
| ~ c_HOL_Oord__class_Oless(X4,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f9,axiom,
! [X3,X0,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X3,X4,X0)
| ~ c_HOL_Oord__class_Oless(X4,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
fof(f245,plain,
spl0_37,
inference(avatar_split_clause,[],[f8,f243]) ).
fof(f243,plain,
( spl0_37
<=> ! [X6,X0,X5] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X5,X6,X0)
| ~ c_HOL_Oord__class_Oless(X6,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f8,axiom,
! [X0,X6,X5] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X5,X6,X0)
| ~ c_HOL_Oord__class_Oless(X6,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
fof(f241,plain,
spl0_36,
inference(avatar_split_clause,[],[f6,f239]) ).
fof(f239,plain,
( spl0_36
<=> ! [X4,X0,X3] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X3,X0)
| ~ c_HOL_Oord__class_Oless(X3,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f6,axiom,
! [X3,X0,X4] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X3,X0)
| ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
fof(f236,plain,
( spl0_35
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f210,f199,f195,f234]) ).
fof(f234,plain,
( spl0_35
<=> ! [X0,X1] :
( c_InductTermi_OIT(X0)
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f195,plain,
( spl0_28
<=> ! [X13,X21,X14] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_Osubst(X13,c_Lambda_OdB_OVar(X14),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f210,plain,
( ! [X0,X1] :
( c_InductTermi_OIT(X0)
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) )
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f196,f200]) ).
fof(f196,plain,
( ! [X21,X14,X13] :
( c_InductTermi_OIT(c_Lambda_Osubst(X13,c_Lambda_OdB_OVar(X14),X21))
| ~ c_InductTermi_OIT(X13) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f226,plain,
spl0_34,
inference(avatar_split_clause,[],[f48,f224]) ).
fof(f48,axiom,
! [X11,X13] :
( ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(X13),X11)
| c_Lambda_Obeta(X13,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X13,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta__cases_I2_J_1) ).
fof(f222,plain,
spl0_33,
inference(avatar_split_clause,[],[f11,f220]) ).
fof(f11,axiom,
! [X2] :
( c_HOL_Ozero__class_Ozero(tc_nat) = X2
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr0I_0) ).
fof(f218,plain,
spl0_32,
inference(avatar_split_clause,[],[f2,f216]) ).
fof(f2,axiom,
! [X0] :
( ~ class_Ring__and__Field_Osemiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__0_0) ).
fof(f214,plain,
spl0_31,
inference(avatar_split_clause,[],[f1,f212]) ).
fof(f212,plain,
( spl0_31
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__less__0__iff_0) ).
fof(f206,plain,
spl0_30,
inference(avatar_split_clause,[],[f65,f203]) ).
fof(f65,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f201,plain,
spl0_29,
inference(avatar_split_clause,[],[f64,f199]) ).
fof(f64,axiom,
! [X11,X15,X12] : c_Lambda_Osubst(c_Lambda_Olift(X12,X15),X11,X15) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f197,plain,
spl0_28,
inference(avatar_split_clause,[],[f56,f195]) ).
fof(f56,axiom,
! [X21,X14,X13] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_Osubst(X13,c_Lambda_OdB_OVar(X14),X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).
fof(f193,plain,
spl0_27,
inference(avatar_split_clause,[],[f51,f191]) ).
fof(f191,plain,
( spl0_27
<=> ! [X22,X10] :
( X10 = X22
| c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OVar(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f51,axiom,
! [X10,X22] :
( X10 = X22
| c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OVar(X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I1_J_0) ).
fof(f189,plain,
spl0_26,
inference(avatar_split_clause,[],[f42,f187]) ).
fof(f187,plain,
( spl0_26
<=> ! [X18,X17] :
( X17 = X18
| c_Lambda_OdB_OAbs(X17) != c_Lambda_OdB_OAbs(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f42,axiom,
! [X18,X17] :
( X17 = X18
| c_Lambda_OdB_OAbs(X17) != c_Lambda_OdB_OAbs(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I3_J_0) ).
fof(f185,plain,
spl0_25,
inference(avatar_split_clause,[],[f31,f183]) ).
fof(f31,axiom,
! [X11,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OAbs(X11),c_Lambda_OdB_OAbs(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs_0) ).
fof(f181,plain,
spl0_24,
inference(avatar_split_clause,[],[f55,f179]) ).
fof(f55,axiom,
! [X16,X15] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X15),X16,X15) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f177,plain,
spl0_23,
inference(avatar_split_clause,[],[f33,f175]) ).
fof(f175,plain,
( spl0_23
<=> ! [X12,X14] :
( ~ c_InductTermi_OIT(X12)
| c_InductTermi_OIT(c_Lambda_OdB_OApp(X12,c_Lambda_OdB_OVar(X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f33,axiom,
! [X14,X12] :
( ~ c_InductTermi_OIT(X12)
| c_InductTermi_OIT(c_Lambda_OdB_OApp(X12,c_Lambda_OdB_OVar(X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_app__Var__IT_0) ).
fof(f173,plain,
spl0_22,
inference(avatar_split_clause,[],[f57,f171]) ).
fof(f171,plain,
( spl0_22
<=> ! [X12,X14] :
( ~ c_InductTermi_OIT(X12)
| c_InductTermi_OIT(c_Lambda_Olift(X12,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f57,axiom,
! [X14,X12] :
( ~ c_InductTermi_OIT(X12)
| c_InductTermi_OIT(c_Lambda_Olift(X12,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__IT_0) ).
fof(f169,plain,
spl0_21,
inference(avatar_split_clause,[],[f52,f167]) ).
fof(f52,axiom,
! [X19,X17,X20] : c_Lambda_OdB_OAbs(X17) != c_Lambda_OdB_OApp(X19,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I8_J_0) ).
fof(f165,plain,
spl0_20,
inference(avatar_split_clause,[],[f30,f163]) ).
fof(f30,axiom,
! [X10,X8,X9] : c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OVar(X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I5_J_0) ).
fof(f161,plain,
spl0_19,
inference(avatar_split_clause,[],[f23,f159]) ).
fof(f159,plain,
( spl0_19
<=> ! [X6,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f23,axiom,
! [X0,X6] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).
fof(f157,plain,
spl0_18,
inference(avatar_split_clause,[],[f22,f155]) ).
fof(f155,plain,
( spl0_18
<=> ! [X6,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f22,axiom,
! [X0,X6] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
fof(f153,plain,
spl0_17,
inference(avatar_split_clause,[],[f21,f151]) ).
fof(f151,plain,
( spl0_17
<=> ! [X6,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f21,axiom,
! [X0,X6] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X6,X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
fof(f149,plain,
spl0_16,
inference(avatar_split_clause,[],[f62,f147]) ).
fof(f147,plain,
( spl0_16
<=> ! [X13] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f62,axiom,
! [X13] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lambda_0) ).
fof(f145,plain,
spl0_15,
inference(avatar_split_clause,[],[f41,f143]) ).
fof(f143,plain,
( spl0_15
<=> ! [X17,X10] : c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OAbs(X17) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f41,axiom,
! [X10,X17] : c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OAbs(X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dB_Osimps_I6_J_0) ).
fof(f141,plain,
spl0_14,
inference(avatar_split_clause,[],[f28,f139]) ).
fof(f139,plain,
( spl0_14
<=> ! [X1] : ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f28,axiom,
! [X1] : ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr__implies__not0_0) ).
fof(f137,plain,
spl0_13,
inference(avatar_split_clause,[],[f68,f134]) ).
fof(f68,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f132,plain,
spl0_12,
inference(avatar_split_clause,[],[f47,f130]) ).
fof(f47,axiom,
! [X14,X12] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X14),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta__cases_I1_J_0) ).
fof(f128,plain,
spl0_11,
inference(avatar_split_clause,[],[f24,f126]) ).
fof(f126,plain,
( spl0_11
<=> ! [X2] : ~ c_HOL_Oord__class_Oless(X2,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f24,axiom,
! [X2] : ~ c_HOL_Oord__class_Oless(X2,X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
fof(f124,plain,
spl0_10,
inference(avatar_split_clause,[],[f59,f122]) ).
fof(f122,plain,
( spl0_10
<=> ! [X2] : c_InductTermi_OIT(c_Lambda_OdB_OVar(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f59,axiom,
! [X2] : c_InductTermi_OIT(c_Lambda_OdB_OVar(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Var__IT_0) ).
fof(f120,plain,
spl0_9,
inference(avatar_split_clause,[],[f75,f117]) ).
fof(f117,plain,
( spl0_9
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f75,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f115,plain,
spl0_8,
inference(avatar_split_clause,[],[f74,f112]) ).
fof(f112,plain,
( spl0_8
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f74,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f110,plain,
spl0_7,
inference(avatar_split_clause,[],[f73,f107]) ).
fof(f107,plain,
( spl0_7
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f73,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f105,plain,
spl0_6,
inference(avatar_split_clause,[],[f72,f102]) ).
fof(f102,plain,
( spl0_6
<=> class_Nat_Osemiring__char__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f72,axiom,
class_Nat_Osemiring__char__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Nat_Osemiring__char__0) ).
fof(f100,plain,
spl0_5,
inference(avatar_split_clause,[],[f71,f97]) ).
fof(f71,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__1) ).
fof(f95,plain,
spl0_4,
inference(avatar_split_clause,[],[f70,f92]) ).
fof(f70,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
fof(f90,plain,
spl0_3,
inference(avatar_split_clause,[],[f63,f87]) ).
fof(f63,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f85,plain,
spl0_2,
inference(avatar_split_clause,[],[f61,f82]) ).
fof(f82,plain,
( spl0_2
<=> c_InductTermi_OIT(v_ua______) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f61,axiom,
c_InductTermi_OIT(v_ua______),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Var_I3_J_0) ).
fof(f80,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f69,f77]) ).
fof(f69,axiom,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL808-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:36:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (31075)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (31080)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (31079)WARNING: value z3 for option sas not known
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (31077)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (31078)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (31081)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (31079)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (31082)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (31083)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (31081)First to succeed.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (31081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31075"
% 0.15/0.40 % (31081)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (31081)------------------------------
% 0.15/0.40 % (31081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (31081)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (31081)Memory used [KB]: 1047
% 0.15/0.40 % (31081)Time elapsed: 0.020 s
% 0.15/0.40 % (31081)Instructions burned: 27 (million)
% 0.15/0.40 % (31075)Success in time 0.038 s
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