TSTP Solution File: LCL798-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL798-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:34:23 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 147
% Syntax : Number of formulae : 277 ( 90 unt; 0 def)
% Number of atoms : 612 ( 100 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 625 ( 290 ~; 252 |; 0 &)
% ( 83 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 95 ( 93 usr; 84 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-4 aty)
% Number of variables : 424 ( 424 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f641,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f90,f95,f100,f105,f110,f115,f120,f125,f129,f133,f137,f142,f146,f150,f154,f158,f162,f166,f170,f174,f178,f182,f187,f192,f196,f200,f204,f208,f212,f217,f221,f226,f234,f238,f242,f246,f257,f261,f265,f269,f273,f277,f281,f285,f289,f293,f297,f312,f316,f342,f346,f350,f354,f358,f362,f381,f385,f424,f428,f432,f436,f440,f444,f448,f493,f512,f532,f538,f551,f555,f559,f567,f571,f575,f579,f583,f587,f599,f605,f609,f613,f617,f640]) ).
fof(f640,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_1
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f639,f615,f82,f139,f92]) ).
fof(f92,plain,
( spl0_3
<=> c_InductTermi_OIT(v_u____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f139,plain,
( spl0_13
<=> c_Type_Otyping(v_e____,v_u____,v_T____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f82,plain,
( spl0_1
<=> c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f615,plain,
( spl0_83
<=> ! [X0] :
( ~ c_Type_Otyping(v_e____,X0,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_i____))
| ~ c_InductTermi_OIT(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f639,plain,
( ~ c_Type_Otyping(v_e____,v_u____,v_T____)
| ~ c_InductTermi_OIT(v_u____)
| spl0_1
| ~ spl0_83 ),
inference(resolution,[],[f616,f84]) ).
fof(f84,plain,
( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))
| spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f616,plain,
( ! [X0] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_i____))
| ~ c_Type_Otyping(v_e____,X0,v_T____)
| ~ c_InductTermi_OIT(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( spl0_83
| ~ spl0_33
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f533,f530,f223,f615]) ).
fof(f223,plain,
( spl0_33
<=> c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f530,plain,
( spl0_68
<=> ! [X17,X14,X27,X28] :
( ~ c_InductTermi_OIT(X17)
| ~ c_Type_Otyping(X27,X17,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X17,X14))
| ~ c_Type_Otyping(c_Type_Oshift(X27,X14,v_T____,tc_Type_Otype),v_a____,X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f533,plain,
( ! [X0] :
( ~ c_Type_Otyping(v_e____,X0,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_i____))
| ~ c_InductTermi_OIT(X0) )
| ~ spl0_33
| ~ spl0_68 ),
inference(resolution,[],[f531,f225]) ).
fof(f225,plain,
( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f531,plain,
( ! [X28,X27,X14,X17] :
( ~ c_Type_Otyping(c_Type_Oshift(X27,X14,v_T____,tc_Type_Otype),v_a____,X28)
| ~ c_Type_Otyping(X27,X17,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X17,X14))
| ~ c_InductTermi_OIT(X17) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f613,plain,
( spl0_82
| ~ spl0_32
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f376,f360,f219,f611]) ).
fof(f611,plain,
( spl0_82
<=> ! [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_82])]) ).
fof(f219,plain,
( spl0_32
<=> ! [X11,X16,X12] : c_Lambda_Osubst(c_Lambda_Olift(X12,X16),X11,X16) = X12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f360,plain,
( spl0_56
<=> ! [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_56])]) ).
fof(f376,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_32
| ~ spl0_56 ),
inference(superposition,[],[f361,f220]) ).
fof(f220,plain,
( ! [X11,X16,X12] : c_Lambda_Osubst(c_Lambda_Olift(X12,X16),X11,X16) = X12
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f361,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_56 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f609,plain,
( spl0_81
| ~ spl0_32
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f374,f360,f219,f607]) ).
fof(f607,plain,
( spl0_81
<=> ! [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_81])]) ).
fof(f374,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_32
| ~ spl0_56 ),
inference(superposition,[],[f361,f220]) ).
fof(f605,plain,
( spl0_80
| ~ spl0_27
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f301,f267,f198,f603]) ).
fof(f603,plain,
( spl0_80
<=> ! [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_80])]) ).
fof(f198,plain,
( spl0_27
<=> ! [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_27])]) ).
fof(f267,plain,
( spl0_41
<=> ! [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_41])]) ).
fof(f301,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_27
| ~ spl0_41 ),
inference(resolution,[],[f268,f199]) ).
fof(f199,plain,
( ! [X11,X12] :
( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X11),c_Lambda_OdB_OAbs(X12))
| ~ c_Lambda_Obeta(X11,X12) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f268,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_41 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f599,plain,
( spl0_79
| ~ spl0_26
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f375,f360,f194,f597]) ).
fof(f597,plain,
( spl0_79
<=> ! [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_79])]) ).
fof(f194,plain,
( spl0_26
<=> ! [X16,X17] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X16),X17,X16) = X17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( c_Lambda_Obeta(c_Lambda_Osubst(X2,X1,X0),X1)
| ~ c_Lambda_Obeta(X2,c_Lambda_OdB_OVar(X0)) )
| ~ spl0_26
| ~ spl0_56 ),
inference(superposition,[],[f361,f195]) ).
fof(f195,plain,
( ! [X16,X17] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X16),X17,X16) = X17
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f587,plain,
( spl0_78
| ~ spl0_22
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f518,f510,f176,f585]) ).
fof(f585,plain,
( spl0_78
<=> ! [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_78])]) ).
fof(f176,plain,
( spl0_22
<=> ! [X20,X21,X18] : c_Lambda_OdB_OAbs(X18) != c_Lambda_OdB_OApp(X20,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f510,plain,
( spl0_67
<=> ! [X17,X11,X12,X16] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X12,X17),X11,X16) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X12,X11,X16),c_Lambda_Osubst(X17,X11,X16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1,X4] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2) != c_Lambda_OdB_OAbs(X4)
| ~ spl0_22
| ~ spl0_67 ),
inference(superposition,[],[f177,f511]) ).
fof(f511,plain,
( ! [X11,X16,X17,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X12,X17),X11,X16) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X12,X11,X16),c_Lambda_Osubst(X17,X11,X16))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f177,plain,
( ! [X21,X18,X20] : c_Lambda_OdB_OAbs(X18) != c_Lambda_OdB_OApp(X20,X21)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f583,plain,
( spl0_77
| ~ spl0_21
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f517,f510,f172,f581]) ).
fof(f581,plain,
( spl0_77
<=> ! [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_77])]) ).
fof(f172,plain,
( spl0_21
<=> ! [X9,X8,X10] : c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OVar(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1,X4] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2) != c_Lambda_OdB_OVar(X4)
| ~ spl0_21
| ~ spl0_67 ),
inference(superposition,[],[f173,f511]) ).
fof(f173,plain,
( ! [X10,X8,X9] : c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OVar(X10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f579,plain,
( spl0_76
| ~ spl0_24
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f370,f356,f184,f577]) ).
fof(f577,plain,
( spl0_76
<=> ! [X0,X1] :
( v_rs____ != c_List_Olist_OCons(X0,X1,tc_Lambda_OdB)
| v_as____ = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f184,plain,
( spl0_24
<=> v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f356,plain,
( spl0_55
<=> ! [X24,X4,X0,X23,X25] :
( X23 = X25
| c_List_Olist_OCons(X4,X23,X0) != c_List_Olist_OCons(X24,X25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f370,plain,
( ! [X0,X1] :
( v_rs____ != c_List_Olist_OCons(X0,X1,tc_Lambda_OdB)
| v_as____ = X1 )
| ~ spl0_24
| ~ spl0_55 ),
inference(superposition,[],[f357,f186]) ).
fof(f186,plain,
( v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f357,plain,
( ! [X0,X4,X24,X25,X23] :
( c_List_Olist_OCons(X4,X23,X0) != c_List_Olist_OCons(X24,X25,X0)
| X23 = X25 )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f575,plain,
( spl0_75
| ~ spl0_24
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f367,f352,f184,f573]) ).
fof(f573,plain,
( spl0_75
<=> ! [X0,X1] :
( v_rs____ != c_List_Olist_OCons(X0,X1,tc_Lambda_OdB)
| v_a____ = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f352,plain,
( spl0_54
<=> ! [X24,X4,X0,X23,X25] :
( X4 = X24
| c_List_Olist_OCons(X4,X23,X0) != c_List_Olist_OCons(X24,X25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f367,plain,
( ! [X0,X1] :
( v_rs____ != c_List_Olist_OCons(X0,X1,tc_Lambda_OdB)
| v_a____ = X0 )
| ~ spl0_24
| ~ spl0_54 ),
inference(superposition,[],[f353,f186]) ).
fof(f353,plain,
( ! [X0,X4,X24,X25,X23] :
( c_List_Olist_OCons(X4,X23,X0) != c_List_Olist_OCons(X24,X25,X0)
| X4 = X24 )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f571,plain,
( spl0_74
| ~ spl0_32
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f306,f287,f219,f569]) ).
fof(f569,plain,
( spl0_74
<=> ! [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_74])]) ).
fof(f287,plain,
( spl0_46
<=> ! [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_46])]) ).
fof(f306,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_32
| ~ spl0_46 ),
inference(superposition,[],[f288,f220]) ).
fof(f288,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_46 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f567,plain,
( spl0_73
| ~ spl0_37
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f528,f446,f244,f565]) ).
fof(f565,plain,
( spl0_73
<=> ! [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_73])]) ).
fof(f244,plain,
( spl0_37
<=> ! [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_37])]) ).
fof(f446,plain,
( spl0_65
<=> ! [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_65])]) ).
fof(f528,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_37
| ~ spl0_65 ),
inference(resolution,[],[f447,f245]) ).
fof(f245,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_37 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f447,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0))),X1)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f559,plain,
( spl0_72
| ~ spl0_22
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f412,f383,f176,f557]) ).
fof(f557,plain,
( spl0_72
<=> ! [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_72])]) ).
fof(f383,plain,
( spl0_58
<=> ! [X11,X16,X12] : c_Lambda_Olift(c_Lambda_OdB_OApp(X11,X12),X16) = c_Lambda_OdB_OApp(c_Lambda_Olift(X11,X16),c_Lambda_Olift(X12,X16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f412,plain,
( ! [X2,X3,X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OApp(X0,X2),X1) != c_Lambda_OdB_OAbs(X3)
| ~ spl0_22
| ~ spl0_58 ),
inference(superposition,[],[f177,f384]) ).
fof(f384,plain,
( ! [X11,X16,X12] : c_Lambda_Olift(c_Lambda_OdB_OApp(X11,X12),X16) = c_Lambda_OdB_OApp(c_Lambda_Olift(X11,X16),c_Lambda_Olift(X12,X16))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f555,plain,
( spl0_71
| ~ spl0_21
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f411,f383,f172,f553]) ).
fof(f553,plain,
( spl0_71
<=> ! [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_71])]) ).
fof(f411,plain,
( ! [X2,X3,X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OApp(X0,X2),X1) != c_Lambda_OdB_OVar(X3)
| ~ spl0_21
| ~ spl0_58 ),
inference(superposition,[],[f173,f384]) ).
fof(f551,plain,
( spl0_70
| ~ spl0_26
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f305,f287,f194,f549]) ).
fof(f549,plain,
( spl0_70
<=> ! [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_70])]) ).
fof(f305,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_26
| ~ spl0_46 ),
inference(superposition,[],[f288,f195]) ).
fof(f538,plain,
( spl0_69
| ~ spl0_5
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f247,f236,f102,f535]) ).
fof(f535,plain,
( spl0_69
<=> 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_69])]) ).
fof(f102,plain,
( spl0_5
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f236,plain,
( spl0_35
<=> ! [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_35])]) ).
fof(f247,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_35 ),
inference(resolution,[],[f237,f104]) ).
fof(f104,plain,
( class_Ring__and__Field_Osemiring__1(tc_nat)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f237,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_35 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f532,plain,
spl0_68,
inference(avatar_split_clause,[],[f70,f530]) ).
fof(f70,axiom,
! [X28,X27,X14,X17] :
( ~ c_InductTermi_OIT(X17)
| ~ c_Type_Otyping(X27,X17,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X17,X14))
| ~ c_Type_Otyping(c_Type_Oshift(X27,X14,v_T____,tc_Type_Otype),v_a____,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f512,plain,
spl0_67,
inference(avatar_split_clause,[],[f58,f510]) ).
fof(f58,axiom,
! [X11,X16,X17,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X12,X17),X11,X16) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X12,X11,X16),c_Lambda_Osubst(X17,X11,X16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).
fof(f493,plain,
spl0_66,
inference(avatar_split_clause,[],[f41,f491]) ).
fof(f491,plain,
( spl0_66
<=> ! [X16,X11,X14] :
( X14 = X16
| c_HOL_Oord__class_Oless(X16,X14,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X14),X11,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f41,axiom,
! [X11,X16,X14] :
( X14 = X16
| c_HOL_Oord__class_Oless(X16,X14,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X14),X11,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Var_2) ).
fof(f448,plain,
( spl0_65
| ~ spl0_37
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f304,f271,f244,f446]) ).
fof(f271,plain,
( spl0_42
<=> ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f304,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0))),X1)
| ~ spl0_37
| ~ spl0_42 ),
inference(resolution,[],[f272,f245]) ).
fof(f272,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)),X1)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f444,plain,
spl0_64,
inference(avatar_split_clause,[],[f27,f442]) ).
fof(f442,plain,
( spl0_64
<=> ! [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_64])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
fof(f440,plain,
spl0_63,
inference(avatar_split_clause,[],[f26,f438]) ).
fof(f438,plain,
( spl0_63
<=> ! [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_63])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
fof(f436,plain,
spl0_62,
inference(avatar_split_clause,[],[f13,f434]) ).
fof(f434,plain,
( spl0_62
<=> ! [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_62])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__0__less__iff_1) ).
fof(f432,plain,
spl0_61,
inference(avatar_split_clause,[],[f12,f430]) ).
fof(f430,plain,
( spl0_61
<=> ! [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_61])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__0__less__iff_0) ).
fof(f428,plain,
spl0_60,
inference(avatar_split_clause,[],[f5,f426]) ).
fof(f426,plain,
( spl0_60
<=> ! [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_60])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__less__iff_0) ).
fof(f424,plain,
spl0_59,
inference(avatar_split_clause,[],[f4,f422]) ).
fof(f422,plain,
( spl0_59
<=> ! [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_59])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__less__iff_1) ).
fof(f385,plain,
spl0_58,
inference(avatar_split_clause,[],[f42,f383]) ).
fof(f42,axiom,
! [X11,X16,X12] : c_Lambda_Olift(c_Lambda_OdB_OApp(X11,X12),X16) = c_Lambda_OdB_OApp(c_Lambda_Olift(X11,X16),c_Lambda_Olift(X12,X16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I2_J_0) ).
fof(f381,plain,
spl0_57,
inference(avatar_split_clause,[],[f19,f379]) ).
fof(f379,plain,
( spl0_57
<=> ! [X6,X0,X5] :
( ~ class_Orderings_Olinorder(X0)
| X5 = X6
| c_HOL_Oord__class_Oless(X6,X5,X0)
| c_HOL_Oord__class_Oless(X5,X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f19,axiom,
! [X0,X6,X5] :
( ~ class_Orderings_Olinorder(X0)
| X5 = X6
| c_HOL_Oord__class_Oless(X6,X5,X0)
| c_HOL_Oord__class_Oless(X5,X6,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
fof(f362,plain,
spl0_56,
inference(avatar_split_clause,[],[f64,f360]) ).
fof(f64,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/sandbox/benchmark/theBenchmark.p',cls_subst__preserves__beta_0) ).
fof(f358,plain,
spl0_55,
inference(avatar_split_clause,[],[f53,f356]) ).
fof(f53,axiom,
! [X0,X4,X24,X25,X23] :
( X23 = X25
| c_List_Olist_OCons(X4,X23,X0) != c_List_Olist_OCons(X24,X25,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
fof(f354,plain,
spl0_54,
inference(avatar_split_clause,[],[f52,f352]) ).
fof(f52,axiom,
! [X0,X4,X24,X25,X23] :
( X4 = X24
| c_List_Olist_OCons(X4,X23,X0) != c_List_Olist_OCons(X24,X25,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f350,plain,
spl0_53,
inference(avatar_split_clause,[],[f51,f348]) ).
fof(f348,plain,
( spl0_53
<=> ! [X22,X17,X14] :
( ~ c_HOL_Oord__class_Oless(X22,X14,tc_nat)
| c_Lambda_OdB_OVar(X22) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X22),X17,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f51,axiom,
! [X14,X17,X22] :
( ~ c_HOL_Oord__class_Oless(X22,X14,tc_nat)
| c_Lambda_OdB_OVar(X22) = c_Lambda_Osubst(c_Lambda_OdB_OVar(X22),X17,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lt_0) ).
fof(f346,plain,
spl0_52,
inference(avatar_split_clause,[],[f3,f344]) ).
fof(f344,plain,
( spl0_52
<=> ! [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_52])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__eq__iff_0) ).
fof(f342,plain,
( spl0_51
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f230,f219,f210,f340]) ).
fof(f340,plain,
( spl0_51
<=> ! [X0,X1] :
( c_InductTermi_OIT(X0)
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f210,plain,
( spl0_30
<=> ! [X13,X22,X14] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_Osubst(X13,c_Lambda_OdB_OVar(X14),X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f230,plain,
( ! [X0,X1] :
( c_InductTermi_OIT(X0)
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) )
| ~ spl0_30
| ~ spl0_32 ),
inference(superposition,[],[f211,f220]) ).
fof(f211,plain,
( ! [X14,X22,X13] :
( c_InductTermi_OIT(c_Lambda_Osubst(X13,c_Lambda_OdB_OVar(X14),X22))
| ~ c_InductTermi_OIT(X13) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f316,plain,
spl0_50,
inference(avatar_split_clause,[],[f37,f314]) ).
fof(f314,plain,
( spl0_50
<=> ! [X16,X14] :
( ~ c_HOL_Oord__class_Oless(X14,X16,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Olift(c_Lambda_OdB_OVar(X14),X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f37,axiom,
! [X16,X14] :
( ~ c_HOL_Oord__class_Oless(X14,X16,tc_nat)
| c_Lambda_OdB_OVar(X14) = c_Lambda_Olift(c_Lambda_OdB_OVar(X14),X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I1_J_0) ).
fof(f312,plain,
spl0_49,
inference(avatar_split_clause,[],[f18,f310]) ).
fof(f310,plain,
( spl0_49
<=> ! [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_49])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).
fof(f297,plain,
spl0_48,
inference(avatar_split_clause,[],[f48,f295]) ).
fof(f295,plain,
( spl0_48
<=> ! [X20,X8,X9,X21] :
( X8 = X20
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X20,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f48,axiom,
! [X21,X8,X9,X20] :
( X8 = X20
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I2_J_0) ).
fof(f293,plain,
spl0_47,
inference(avatar_split_clause,[],[f47,f291]) ).
fof(f291,plain,
( spl0_47
<=> ! [X20,X9,X21,X8] :
( X9 = X21
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X20,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f47,axiom,
! [X21,X8,X9,X20] :
( X9 = X21
| c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OApp(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I2_J_1) ).
fof(f289,plain,
spl0_46,
inference(avatar_split_clause,[],[f46,f287]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',cls_beta_0) ).
fof(f285,plain,
spl0_45,
inference(avatar_split_clause,[],[f39,f283]) ).
fof(f283,plain,
( spl0_45
<=> ! [X11,X12,X17] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X17,X11),c_Lambda_OdB_OApp(X17,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f39,axiom,
! [X11,X17,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X17,X11),c_Lambda_OdB_OApp(X17,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_appR_0) ).
fof(f281,plain,
spl0_44,
inference(avatar_split_clause,[],[f38,f279]) ).
fof(f279,plain,
( spl0_44
<=> ! [X11,X12,X17] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X11,X17),c_Lambda_OdB_OApp(X12,X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f38,axiom,
! [X11,X17,X12] :
( ~ c_Lambda_Obeta(X11,X12)
| c_Lambda_Obeta(c_Lambda_OdB_OApp(X11,X17),c_Lambda_OdB_OApp(X12,X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_appL_0) ).
fof(f277,plain,
spl0_43,
inference(avatar_split_clause,[],[f36,f275]) ).
fof(f275,plain,
( spl0_43
<=> ! [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_43])]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',cls_lift__preserves__beta_0) ).
fof(f273,plain,
( spl0_42
| ~ spl0_12
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f253,f244,f135,f271]) ).
fof(f135,plain,
( spl0_12
<=> ! [X12,X14] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X14),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f253,plain,
( ! [X0,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OAbs(c_Lambda_OdB_OVar(X0)),X1)
| ~ spl0_12
| ~ spl0_37 ),
inference(resolution,[],[f245,f136]) ).
fof(f136,plain,
( ! [X14,X12] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X14),X12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f269,plain,
spl0_41,
inference(avatar_split_clause,[],[f32,f267]) ).
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/sandbox/benchmark/theBenchmark.p',cls_beta__cases_I2_J_0) ).
fof(f265,plain,
spl0_40,
inference(avatar_split_clause,[],[f9,f263]) ).
fof(f263,plain,
( spl0_40
<=> ! [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_40])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
fof(f261,plain,
spl0_39,
inference(avatar_split_clause,[],[f8,f259]) ).
fof(f259,plain,
( spl0_39
<=> ! [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_39])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
fof(f257,plain,
spl0_38,
inference(avatar_split_clause,[],[f6,f255]) ).
fof(f255,plain,
( spl0_38
<=> ! [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_38])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
fof(f246,plain,
spl0_37,
inference(avatar_split_clause,[],[f50,f244]) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',cls_beta__cases_I2_J_1) ).
fof(f242,plain,
spl0_36,
inference(avatar_split_clause,[],[f11,f240]) ).
fof(f240,plain,
( spl0_36
<=> ! [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_36])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_gr0I_0) ).
fof(f238,plain,
spl0_35,
inference(avatar_split_clause,[],[f2,f236]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__0_0) ).
fof(f234,plain,
spl0_34,
inference(avatar_split_clause,[],[f1,f232]) ).
fof(f232,plain,
( spl0_34
<=> ! [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_34])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_of__nat__less__0__iff_0) ).
fof(f226,plain,
spl0_33,
inference(avatar_split_clause,[],[f73,f223]) ).
fof(f73,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f221,plain,
spl0_32,
inference(avatar_split_clause,[],[f68,f219]) ).
fof(f68,axiom,
! [X11,X16,X12] : c_Lambda_Osubst(c_Lambda_Olift(X12,X16),X11,X16) = X12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f217,plain,
( ~ spl0_31
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f188,f184,f168,f214]) ).
fof(f214,plain,
( spl0_31
<=> v_rs____ = v_as____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f168,plain,
( spl0_20
<=> ! [X6,X0,X15] : c_List_Olist_OCons(X6,X15,X0) != X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f188,plain,
( v_rs____ != v_as____
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f169,f186]) ).
fof(f169,plain,
( ! [X0,X6,X15] : c_List_Olist_OCons(X6,X15,X0) != X15
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f212,plain,
spl0_30,
inference(avatar_split_clause,[],[f60,f210]) ).
fof(f60,axiom,
! [X14,X22,X13] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_Osubst(X13,c_Lambda_OdB_OVar(X14),X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).
fof(f208,plain,
spl0_29,
inference(avatar_split_clause,[],[f55,f206]) ).
fof(f206,plain,
( spl0_29
<=> ! [X10,X26] :
( X10 = X26
| c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OVar(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f55,axiom,
! [X10,X26] :
( X10 = X26
| c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OVar(X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I1_J_0) ).
fof(f204,plain,
spl0_28,
inference(avatar_split_clause,[],[f44,f202]) ).
fof(f202,plain,
( spl0_28
<=> ! [X18,X19] :
( X18 = X19
| c_Lambda_OdB_OAbs(X18) != c_Lambda_OdB_OAbs(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f44,axiom,
! [X18,X19] :
( X18 = X19
| c_Lambda_OdB_OAbs(X18) != c_Lambda_OdB_OAbs(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I3_J_0) ).
fof(f200,plain,
spl0_27,
inference(avatar_split_clause,[],[f31,f198]) ).
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/sandbox/benchmark/theBenchmark.p',cls_abs_0) ).
fof(f196,plain,
spl0_26,
inference(avatar_split_clause,[],[f59,f194]) ).
fof(f59,axiom,
! [X16,X17] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X16),X17,X16) = X17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f192,plain,
spl0_25,
inference(avatar_split_clause,[],[f33,f190]) ).
fof(f190,plain,
( spl0_25
<=> ! [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_25])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_app__Var__IT_0) ).
fof(f187,plain,
spl0_24,
inference(avatar_split_clause,[],[f69,f184]) ).
fof(f69,axiom,
v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_0) ).
fof(f182,plain,
spl0_23,
inference(avatar_split_clause,[],[f61,f180]) ).
fof(f180,plain,
( spl0_23
<=> ! [X12,X14] :
( ~ c_InductTermi_OIT(X12)
| c_InductTermi_OIT(c_Lambda_Olift(X12,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f61,axiom,
! [X14,X12] :
( ~ c_InductTermi_OIT(X12)
| c_InductTermi_OIT(c_Lambda_Olift(X12,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__IT_0) ).
fof(f178,plain,
spl0_22,
inference(avatar_split_clause,[],[f56,f176]) ).
fof(f56,axiom,
! [X21,X18,X20] : c_Lambda_OdB_OAbs(X18) != c_Lambda_OdB_OApp(X20,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I8_J_0) ).
fof(f174,plain,
spl0_21,
inference(avatar_split_clause,[],[f45,f172]) ).
fof(f45,axiom,
! [X10,X8,X9] : c_Lambda_OdB_OApp(X8,X9) != c_Lambda_OdB_OVar(X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I4_J_0) ).
fof(f170,plain,
spl0_20,
inference(avatar_split_clause,[],[f34,f168]) ).
fof(f34,axiom,
! [X0,X6,X15] : c_List_Olist_OCons(X6,X15,X0) != X15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f166,plain,
spl0_19,
inference(avatar_split_clause,[],[f23,f164]) ).
fof(f164,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/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).
fof(f162,plain,
spl0_18,
inference(avatar_split_clause,[],[f22,f160]) ).
fof(f160,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/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
fof(f158,plain,
spl0_17,
inference(avatar_split_clause,[],[f21,f156]) ).
fof(f156,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/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
fof(f154,plain,
spl0_16,
inference(avatar_split_clause,[],[f66,f152]) ).
fof(f152,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(f66,axiom,
! [X13] :
( ~ c_InductTermi_OIT(X13)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).
fof(f150,plain,
spl0_15,
inference(avatar_split_clause,[],[f43,f148]) ).
fof(f148,plain,
( spl0_15
<=> ! [X18,X10] : c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OAbs(X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f43,axiom,
! [X10,X18] : c_Lambda_OdB_OVar(X10) != c_Lambda_OdB_OAbs(X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I6_J_0) ).
fof(f146,plain,
spl0_14,
inference(avatar_split_clause,[],[f29,f144]) ).
fof(f144,plain,
( spl0_14
<=> ! [X2] : ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f29,axiom,
! [X2] : ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less0_0) ).
fof(f142,plain,
spl0_13,
inference(avatar_split_clause,[],[f71,f139]) ).
fof(f71,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f137,plain,
spl0_12,
inference(avatar_split_clause,[],[f49,f135]) ).
fof(f49,axiom,
! [X14,X12] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X14),X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_beta__cases_I1_J_0) ).
fof(f133,plain,
spl0_11,
inference(avatar_split_clause,[],[f24,f131]) ).
fof(f131,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/sandbox/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
fof(f129,plain,
spl0_10,
inference(avatar_split_clause,[],[f63,f127]) ).
fof(f127,plain,
( spl0_10
<=> ! [X2] : c_InductTermi_OIT(c_Lambda_OdB_OVar(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f63,axiom,
! [X2] : c_InductTermi_OIT(c_Lambda_OdB_OVar(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var__IT_0) ).
fof(f125,plain,
spl0_9,
inference(avatar_split_clause,[],[f80,f122]) ).
fof(f122,plain,
( spl0_9
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f80,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f120,plain,
spl0_8,
inference(avatar_split_clause,[],[f79,f117]) ).
fof(f117,plain,
( spl0_8
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f79,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f115,plain,
spl0_7,
inference(avatar_split_clause,[],[f78,f112]) ).
fof(f112,plain,
( spl0_7
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f78,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f110,plain,
spl0_6,
inference(avatar_split_clause,[],[f77,f107]) ).
fof(f107,plain,
( spl0_6
<=> class_Nat_Osemiring__char__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f77,axiom,
class_Nat_Osemiring__char__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Nat_Osemiring__char__0) ).
fof(f105,plain,
spl0_5,
inference(avatar_split_clause,[],[f76,f102]) ).
fof(f76,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__1) ).
fof(f100,plain,
spl0_4,
inference(avatar_split_clause,[],[f75,f97]) ).
fof(f97,plain,
( spl0_4
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f75,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
fof(f95,plain,
spl0_3,
inference(avatar_split_clause,[],[f67,f92]) ).
fof(f67,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f90,plain,
spl0_2,
inference(avatar_split_clause,[],[f65,f87]) ).
fof(f87,plain,
( spl0_2
<=> c_InductTermi_OIT(v_ua______) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f65,axiom,
c_InductTermi_OIT(v_ua______),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var_I3_J_0) ).
fof(f85,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f74,f82]) ).
fof(f74,axiom,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL798-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 02:36:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (23245)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (23246)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (23252)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)
% 0.13/0.37 % (23248)WARNING: value z3 for option sas not known
% 0.13/0.37 % (23247)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (23249)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (23248)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)
% 0.13/0.37 % (23250)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)
% 0.13/0.37 % (23251)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (23250)First to succeed.
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 % (23250)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23245"
% 0.13/0.39 % (23250)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (23250)------------------------------
% 0.13/0.39 % (23250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (23250)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (23250)Memory used [KB]: 1050
% 0.13/0.39 % (23250)Time elapsed: 0.021 s
% 0.13/0.39 % (23250)Instructions burned: 28 (million)
% 0.13/0.39 % (23245)Success in time 0.04 s
%------------------------------------------------------------------------------