TSTP Solution File: SEU219+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 Apr 30 15:24:34 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 167
% Syntax : Number of formulae : 508 ( 93 unt; 0 def)
% Number of atoms : 1367 ( 132 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1517 ( 658 ~; 612 |; 92 &)
% ( 117 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 126 ( 124 usr; 117 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-1 aty)
% Number of variables : 309 ( 282 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1161,plain,
$false,
inference(avatar_sat_refutation,[],[f170,f175,f180,f185,f190,f195,f200,f205,f210,f215,f220,f225,f230,f235,f240,f245,f250,f255,f260,f265,f274,f278,f282,f286,f290,f294,f298,f312,f317,f321,f325,f329,f333,f337,f341,f345,f349,f353,f357,f362,f386,f391,f395,f399,f403,f407,f411,f415,f420,f424,f428,f432,f455,f470,f474,f478,f482,f546,f553,f564,f574,f581,f586,f598,f610,f621,f626,f632,f637,f642,f654,f659,f665,f669,f673,f680,f685,f690,f695,f700,f704,f711,f717,f718,f719,f720,f721,f773,f774,f865,f869,f873,f878,f883,f888,f893,f898,f903,f908,f913,f918,f923,f928,f933,f946,f955,f960,f965,f1069,f1073,f1081,f1085,f1086,f1094,f1098,f1102,f1159,f1160]) ).
fof(f1160,plain,
( spl12_21
| ~ spl12_63
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f612,f607,f578,f267]) ).
fof(f267,plain,
( spl12_21
<=> relation_rng(sK0) = relation_dom(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f578,plain,
( spl12_63
<=> relation_rng(sK0) = relation_dom(relation_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f607,plain,
( spl12_67
<=> function_inverse(sK0) = relation_inverse(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_67])]) ).
fof(f612,plain,
( relation_rng(sK0) = relation_dom(function_inverse(sK0))
| ~ spl12_63
| ~ spl12_67 ),
inference(superposition,[],[f580,f609]) ).
fof(f609,plain,
( function_inverse(sK0) = relation_inverse(sK0)
| ~ spl12_67 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f580,plain,
( relation_rng(sK0) = relation_dom(relation_inverse(sK0))
| ~ spl12_63 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f1159,plain,
( spl12_116
| ~ spl12_38
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f433,f401,f347,f1157]) ).
fof(f1157,plain,
( spl12_116
<=> ! [X0] :
( relation_inverse(X0) = relation_inverse(relation_inverse(relation_inverse(X0)))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_116])]) ).
fof(f347,plain,
( spl12_38
<=> ! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
fof(f401,plain,
( spl12_46
<=> ! [X0] :
( relation_inverse(relation_inverse(X0)) = X0
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
fof(f433,plain,
( ! [X0] :
( relation_inverse(X0) = relation_inverse(relation_inverse(relation_inverse(X0)))
| ~ relation(X0) )
| ~ spl12_38
| ~ spl12_46 ),
inference(resolution,[],[f402,f348]) ).
fof(f348,plain,
( ! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) )
| ~ spl12_38 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f402,plain,
( ! [X0] :
( ~ relation(X0)
| relation_inverse(relation_inverse(X0)) = X0 )
| ~ spl12_46 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1102,plain,
( spl12_115
| ~ spl12_28
| ~ spl12_61 ),
inference(avatar_split_clause,[],[f567,f562,f296,f1100]) ).
fof(f1100,plain,
( spl12_115
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK2(powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_115])]) ).
fof(f296,plain,
( spl12_28
<=> ! [X0] : element(sK2(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f562,plain,
( spl12_61
<=> ! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
fof(f567,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK2(powerset(X1))) )
| ~ spl12_28
| ~ spl12_61 ),
inference(resolution,[],[f563,f297]) ).
fof(f297,plain,
( ! [X0] : element(sK2(X0),X0)
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f563,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) )
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1098,plain,
( spl12_114
| ~ spl12_52
| ~ spl12_60 ),
inference(avatar_split_clause,[],[f555,f551,f426,f1096]) ).
fof(f1096,plain,
( spl12_114
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_114])]) ).
fof(f426,plain,
( spl12_52
<=> ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).
fof(f551,plain,
( spl12_60
<=> ! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).
fof(f555,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) )
| ~ spl12_52
| ~ spl12_60 ),
inference(resolution,[],[f552,f427]) ).
fof(f427,plain,
( ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) )
| ~ spl12_52 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) )
| ~ spl12_60 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f1094,plain,
( spl12_113
| ~ spl12_32
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f459,f430,f323,f1092]) ).
fof(f1092,plain,
( spl12_113
<=> ! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_113])]) ).
fof(f323,plain,
( spl12_32
<=> ! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f430,plain,
( spl12_53
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_53])]) ).
fof(f459,plain,
( ! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl12_32
| ~ spl12_53 ),
inference(resolution,[],[f431,f324]) ).
fof(f324,plain,
( ! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) )
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f431,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl12_53 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f1086,plain,
( spl12_22
| ~ spl12_64
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f611,f607,f583,f271]) ).
fof(f271,plain,
( spl12_22
<=> relation_dom(sK0) = relation_rng(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f583,plain,
( spl12_64
<=> relation_dom(sK0) = relation_rng(relation_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f611,plain,
( relation_dom(sK0) = relation_rng(function_inverse(sK0))
| ~ spl12_64
| ~ spl12_67 ),
inference(superposition,[],[f585,f609]) ).
fof(f585,plain,
( relation_dom(sK0) = relation_rng(relation_inverse(sK0))
| ~ spl12_64 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f1085,plain,
( spl12_112
| ~ spl12_34
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f458,f430,f331,f1083]) ).
fof(f1083,plain,
( spl12_112
<=> ! [X0,X1] :
( relation_dom(X1) = X0
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_112])]) ).
fof(f331,plain,
( spl12_34
<=> ! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f458,plain,
( ! [X0,X1] :
( relation_dom(X1) = X0
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl12_34
| ~ spl12_53 ),
inference(resolution,[],[f431,f332]) ).
fof(f332,plain,
( ! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) )
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f1081,plain,
( spl12_111
| ~ spl12_36
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f456,f430,f339,f1079]) ).
fof(f1079,plain,
( spl12_111
<=> ! [X0,X1] :
( relation_inverse(X1) = X0
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_111])]) ).
fof(f339,plain,
( spl12_36
<=> ! [X0] :
( empty(relation_inverse(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f456,plain,
( ! [X0,X1] :
( relation_inverse(X1) = X0
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl12_36
| ~ spl12_53 ),
inference(resolution,[],[f431,f340]) ).
fof(f340,plain,
( ! [X0] :
( empty(relation_inverse(X0))
| ~ empty(X0) )
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f1073,plain,
( spl12_110
| ~ spl12_28
| ~ spl12_60 ),
inference(avatar_split_clause,[],[f557,f551,f296,f1071]) ).
fof(f1071,plain,
( spl12_110
<=> ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK2(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_110])]) ).
fof(f557,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK2(powerset(X0))) )
| ~ spl12_28
| ~ spl12_60 ),
inference(resolution,[],[f552,f297]) ).
fof(f1069,plain,
( spl12_109
| ~ spl12_7
| ~ spl12_24
| ~ spl12_31
| ~ spl12_39
| ~ spl12_58 ),
inference(avatar_split_clause,[],[f542,f480,f351,f319,f280,f197,f1067]) ).
fof(f1067,plain,
( spl12_109
<=> ! [X0] :
( in(sK5,powerset(X0))
| empty(powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_109])]) ).
fof(f197,plain,
( spl12_7
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f280,plain,
( spl12_24
<=> ! [X0] : empty(sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f319,plain,
( spl12_31
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f351,plain,
( spl12_39
<=> ! [X0] : element(sK3(X0),powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
fof(f480,plain,
( spl12_58
<=> ! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).
fof(f542,plain,
( ! [X0] :
( in(sK5,powerset(X0))
| empty(powerset(X0)) )
| ~ spl12_7
| ~ spl12_24
| ~ spl12_31
| ~ spl12_39
| ~ spl12_58 ),
inference(forward_demodulation,[],[f541,f365]) ).
fof(f365,plain,
( empty_set = sK5
| ~ spl12_7
| ~ spl12_31 ),
inference(resolution,[],[f320,f199]) ).
fof(f199,plain,
( empty(sK5)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f320,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl12_31 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f541,plain,
( ! [X0] :
( in(empty_set,powerset(X0))
| empty(powerset(X0)) )
| ~ spl12_24
| ~ spl12_31
| ~ spl12_39
| ~ spl12_58 ),
inference(forward_demodulation,[],[f540,f364]) ).
fof(f364,plain,
( ! [X0] : empty_set = sK3(X0)
| ~ spl12_24
| ~ spl12_31 ),
inference(resolution,[],[f320,f281]) ).
fof(f281,plain,
( ! [X0] : empty(sK3(X0))
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f540,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK3(X0),powerset(X0)) )
| ~ spl12_39
| ~ spl12_58 ),
inference(resolution,[],[f481,f352]) ).
fof(f352,plain,
( ! [X0] : element(sK3(X0),powerset(X0))
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f481,plain,
( ! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) )
| ~ spl12_58 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f965,plain,
( spl12_108
| ~ spl12_28
| ~ spl12_58 ),
inference(avatar_split_clause,[],[f539,f480,f296,f963]) ).
fof(f963,plain,
( spl12_108
<=> ! [X0] :
( empty(X0)
| in(sK2(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_108])]) ).
fof(f539,plain,
( ! [X0] :
( empty(X0)
| in(sK2(X0),X0) )
| ~ spl12_28
| ~ spl12_58 ),
inference(resolution,[],[f481,f297]) ).
fof(f960,plain,
( ~ spl12_41
| ~ spl12_7
| spl12_107
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f530,f476,f319,f197,f187,f957,f197,f359]) ).
fof(f359,plain,
( spl12_41
<=> function(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
fof(f957,plain,
( spl12_107
<=> one_to_one(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_107])]) ).
fof(f187,plain,
( spl12_5
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f476,plain,
( spl12_57
<=> ! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
fof(f530,plain,
( one_to_one(sK5)
| ~ empty(sK5)
| ~ function(sK5)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_57 ),
inference(forward_demodulation,[],[f529,f365]) ).
fof(f529,plain,
( ~ empty(sK5)
| ~ function(sK5)
| one_to_one(empty_set)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_57 ),
inference(forward_demodulation,[],[f528,f365]) ).
fof(f528,plain,
( ~ function(sK5)
| ~ empty(empty_set)
| one_to_one(empty_set)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_57 ),
inference(forward_demodulation,[],[f518,f365]) ).
fof(f518,plain,
( ~ function(empty_set)
| ~ empty(empty_set)
| one_to_one(empty_set)
| ~ spl12_5
| ~ spl12_57 ),
inference(resolution,[],[f477,f189]) ).
fof(f189,plain,
( relation(empty_set)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f477,plain,
( ! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ~ empty(X0)
| one_to_one(X0) )
| ~ spl12_57 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f955,plain,
( spl12_105
| ~ spl12_106
| ~ spl12_14
| ~ spl12_13
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f525,f476,f227,f232,f952,f948]) ).
fof(f948,plain,
( spl12_105
<=> one_to_one(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_105])]) ).
fof(f952,plain,
( spl12_106
<=> empty(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_106])]) ).
fof(f232,plain,
( spl12_14
<=> function(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f227,plain,
( spl12_13
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f525,plain,
( ~ function(sK9)
| ~ empty(sK9)
| one_to_one(sK9)
| ~ spl12_13
| ~ spl12_57 ),
inference(resolution,[],[f477,f229]) ).
fof(f229,plain,
( relation(sK9)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f946,plain,
( spl12_102
| ~ spl12_103
| ~ spl12_104
| ~ spl12_12
| ~ spl12_57 ),
inference(avatar_split_clause,[],[f524,f476,f222,f943,f939,f935]) ).
fof(f935,plain,
( spl12_102
<=> one_to_one(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_102])]) ).
fof(f939,plain,
( spl12_103
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_103])]) ).
fof(f943,plain,
( spl12_104
<=> function(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_104])]) ).
fof(f222,plain,
( spl12_12
<=> relation(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f524,plain,
( ~ function(sK8)
| ~ empty(sK8)
| one_to_one(sK8)
| ~ spl12_12
| ~ spl12_57 ),
inference(resolution,[],[f477,f224]) ).
fof(f224,plain,
( relation(sK8)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f933,plain,
( ~ spl12_1
| spl12_101
| ~ spl12_38
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f615,f607,f347,f930,f167]) ).
fof(f167,plain,
( spl12_1
<=> relation(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f930,plain,
( spl12_101
<=> relation(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_101])]) ).
fof(f615,plain,
( relation(function_inverse(sK0))
| ~ relation(sK0)
| ~ spl12_38
| ~ spl12_67 ),
inference(superposition,[],[f348,f609]) ).
fof(f928,plain,
( spl12_100
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f512,f472,f319,f197,f187,f925]) ).
fof(f925,plain,
( spl12_100
<=> relation_dom(sK5) = relation_rng(relation_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_100])]) ).
fof(f472,plain,
( spl12_56
<=> ! [X0] :
( relation_dom(X0) = relation_rng(relation_inverse(X0))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).
fof(f512,plain,
( relation_dom(sK5) = relation_rng(relation_inverse(sK5))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_56 ),
inference(forward_demodulation,[],[f502,f365]) ).
fof(f502,plain,
( relation_dom(empty_set) = relation_rng(relation_inverse(empty_set))
| ~ spl12_5
| ~ spl12_56 ),
inference(resolution,[],[f473,f189]) ).
fof(f473,plain,
( ! [X0] :
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) )
| ~ spl12_56 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f923,plain,
( spl12_99
| ~ spl12_15
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f510,f472,f237,f920]) ).
fof(f920,plain,
( spl12_99
<=> relation_dom(sK10) = relation_rng(relation_inverse(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_99])]) ).
fof(f237,plain,
( spl12_15
<=> relation(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f510,plain,
( relation_dom(sK10) = relation_rng(relation_inverse(sK10))
| ~ spl12_15
| ~ spl12_56 ),
inference(resolution,[],[f473,f239]) ).
fof(f239,plain,
( relation(sK10)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f918,plain,
( spl12_98
| ~ spl12_13
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f509,f472,f227,f915]) ).
fof(f915,plain,
( spl12_98
<=> relation_dom(sK9) = relation_rng(relation_inverse(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_98])]) ).
fof(f509,plain,
( relation_dom(sK9) = relation_rng(relation_inverse(sK9))
| ~ spl12_13
| ~ spl12_56 ),
inference(resolution,[],[f473,f229]) ).
fof(f913,plain,
( spl12_97
| ~ spl12_12
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f508,f472,f222,f910]) ).
fof(f910,plain,
( spl12_97
<=> relation_dom(sK8) = relation_rng(relation_inverse(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).
fof(f508,plain,
( relation_dom(sK8) = relation_rng(relation_inverse(sK8))
| ~ spl12_12
| ~ spl12_56 ),
inference(resolution,[],[f473,f224]) ).
fof(f908,plain,
( spl12_96
| ~ spl12_9
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f506,f472,f207,f905]) ).
fof(f905,plain,
( spl12_96
<=> relation_dom(sK6) = relation_rng(relation_inverse(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).
fof(f207,plain,
( spl12_9
<=> relation(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f506,plain,
( relation_dom(sK6) = relation_rng(relation_inverse(sK6))
| ~ spl12_9
| ~ spl12_56 ),
inference(resolution,[],[f473,f209]) ).
fof(f209,plain,
( relation(sK6)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f903,plain,
( spl12_95
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f496,f468,f319,f197,f187,f900]) ).
fof(f900,plain,
( spl12_95
<=> relation_rng(sK5) = relation_dom(relation_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_95])]) ).
fof(f468,plain,
( spl12_55
<=> ! [X0] :
( relation_rng(X0) = relation_dom(relation_inverse(X0))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
fof(f496,plain,
( relation_rng(sK5) = relation_dom(relation_inverse(sK5))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_55 ),
inference(forward_demodulation,[],[f486,f365]) ).
fof(f486,plain,
( relation_rng(empty_set) = relation_dom(relation_inverse(empty_set))
| ~ spl12_5
| ~ spl12_55 ),
inference(resolution,[],[f469,f189]) ).
fof(f469,plain,
( ! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ spl12_55 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f898,plain,
( spl12_94
| ~ spl12_15
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f494,f468,f237,f895]) ).
fof(f895,plain,
( spl12_94
<=> relation_rng(sK10) = relation_dom(relation_inverse(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_94])]) ).
fof(f494,plain,
( relation_rng(sK10) = relation_dom(relation_inverse(sK10))
| ~ spl12_15
| ~ spl12_55 ),
inference(resolution,[],[f469,f239]) ).
fof(f893,plain,
( spl12_93
| ~ spl12_13
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f493,f468,f227,f890]) ).
fof(f890,plain,
( spl12_93
<=> relation_rng(sK9) = relation_dom(relation_inverse(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_93])]) ).
fof(f493,plain,
( relation_rng(sK9) = relation_dom(relation_inverse(sK9))
| ~ spl12_13
| ~ spl12_55 ),
inference(resolution,[],[f469,f229]) ).
fof(f888,plain,
( spl12_92
| ~ spl12_12
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f492,f468,f222,f885]) ).
fof(f885,plain,
( spl12_92
<=> relation_rng(sK8) = relation_dom(relation_inverse(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
fof(f492,plain,
( relation_rng(sK8) = relation_dom(relation_inverse(sK8))
| ~ spl12_12
| ~ spl12_55 ),
inference(resolution,[],[f469,f224]) ).
fof(f883,plain,
( spl12_91
| ~ spl12_9
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f490,f468,f207,f880]) ).
fof(f880,plain,
( spl12_91
<=> relation_rng(sK6) = relation_dom(relation_inverse(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
fof(f490,plain,
( relation_rng(sK6) = relation_dom(relation_inverse(sK6))
| ~ spl12_9
| ~ spl12_55 ),
inference(resolution,[],[f469,f209]) ).
fof(f878,plain,
( spl12_90
| ~ spl12_54
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f613,f607,f452,f875]) ).
fof(f875,plain,
( spl12_90
<=> sK0 = relation_inverse(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
fof(f452,plain,
( spl12_54
<=> sK0 = relation_inverse(relation_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
fof(f613,plain,
( sK0 = relation_inverse(function_inverse(sK0))
| ~ spl12_54
| ~ spl12_67 ),
inference(superposition,[],[f454,f609]) ).
fof(f454,plain,
( sK0 = relation_inverse(relation_inverse(sK0))
| ~ spl12_54 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f873,plain,
( spl12_89
| ~ spl12_7
| ~ spl12_31
| ~ spl12_36 ),
inference(avatar_split_clause,[],[f381,f339,f319,f197,f871]) ).
fof(f871,plain,
( spl12_89
<=> ! [X0] :
( relation_inverse(X0) = sK5
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_89])]) ).
fof(f381,plain,
( ! [X0] :
( relation_inverse(X0) = sK5
| ~ empty(X0) )
| ~ spl12_7
| ~ spl12_31
| ~ spl12_36 ),
inference(forward_demodulation,[],[f378,f365]) ).
fof(f378,plain,
( ! [X0] :
( ~ empty(X0)
| relation_inverse(X0) = empty_set )
| ~ spl12_31
| ~ spl12_36 ),
inference(resolution,[],[f340,f320]) ).
fof(f869,plain,
( spl12_88
| ~ spl12_7
| ~ spl12_31
| ~ spl12_34 ),
inference(avatar_split_clause,[],[f377,f331,f319,f197,f867]) ).
fof(f867,plain,
( spl12_88
<=> ! [X0] :
( relation_dom(X0) = sK5
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
fof(f377,plain,
( ! [X0] :
( relation_dom(X0) = sK5
| ~ empty(X0) )
| ~ spl12_7
| ~ spl12_31
| ~ spl12_34 ),
inference(forward_demodulation,[],[f374,f365]) ).
fof(f374,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) )
| ~ spl12_31
| ~ spl12_34 ),
inference(resolution,[],[f332,f320]) ).
fof(f865,plain,
( spl12_87
| ~ spl12_7
| ~ spl12_31
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f373,f323,f319,f197,f863]) ).
fof(f863,plain,
( spl12_87
<=> ! [X0] :
( relation_rng(X0) = sK5
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
fof(f373,plain,
( ! [X0] :
( relation_rng(X0) = sK5
| ~ empty(X0) )
| ~ spl12_7
| ~ spl12_31
| ~ spl12_32 ),
inference(forward_demodulation,[],[f370,f365]) ).
fof(f370,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(X0) )
| ~ spl12_31
| ~ spl12_32 ),
inference(resolution,[],[f324,f320]) ).
fof(f774,plain,
( spl12_83
| ~ spl12_31
| ~ spl12_70 ),
inference(avatar_split_clause,[],[f722,f629,f319,f702]) ).
fof(f702,plain,
( spl12_83
<=> ! [X0] :
( sK5 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_83])]) ).
fof(f629,plain,
( spl12_70
<=> empty_set = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_70])]) ).
fof(f722,plain,
( ! [X0] :
( sK5 = X0
| ~ empty(X0) )
| ~ spl12_31
| ~ spl12_70 ),
inference(forward_demodulation,[],[f320,f631]) ).
fof(f631,plain,
( empty_set = sK5
| ~ spl12_70 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f773,plain,
( ~ spl12_86
| spl12_65
| ~ spl12_67 ),
inference(avatar_split_clause,[],[f675,f607,f591,f770]) ).
fof(f770,plain,
( spl12_86
<=> empty(function_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_86])]) ).
fof(f591,plain,
( spl12_65
<=> empty(relation_inverse(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).
fof(f675,plain,
( ~ empty(function_inverse(sK0))
| spl12_65
| ~ spl12_67 ),
inference(superposition,[],[f593,f609]) ).
fof(f593,plain,
( ~ empty(relation_inverse(sK0))
| spl12_65 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f721,plain,
( ~ spl12_4
| ~ spl12_84 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl12_4
| ~ spl12_84 ),
inference(resolution,[],[f707,f184]) ).
fof(f184,plain,
( empty(empty_set)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl12_4
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f707,plain,
( ! [X0] : ~ empty(X0)
| ~ spl12_84 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl12_84
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_84])]) ).
fof(f720,plain,
( ~ spl12_24
| ~ spl12_84 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl12_24
| ~ spl12_84 ),
inference(resolution,[],[f707,f281]) ).
fof(f719,plain,
( ~ spl12_7
| ~ spl12_84 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| ~ spl12_7
| ~ spl12_84 ),
inference(resolution,[],[f707,f199]) ).
fof(f718,plain,
( ~ spl12_10
| ~ spl12_84 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl12_10
| ~ spl12_84 ),
inference(resolution,[],[f707,f214]) ).
fof(f214,plain,
( empty(sK7)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl12_10
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f717,plain,
( ~ spl12_19
| ~ spl12_84 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl12_19
| ~ spl12_84 ),
inference(resolution,[],[f707,f259]) ).
fof(f259,plain,
( empty(sK11)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl12_19
<=> empty(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f711,plain,
( spl12_84
| spl12_85
| ~ spl12_7
| ~ spl12_24
| ~ spl12_31
| ~ spl12_39
| ~ spl12_60 ),
inference(avatar_split_clause,[],[f560,f551,f351,f319,f280,f197,f709,f706]) ).
fof(f709,plain,
( spl12_85
<=> ! [X1] : ~ in(X1,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ in(X1,sK5)
| ~ empty(X0) )
| ~ spl12_7
| ~ spl12_24
| ~ spl12_31
| ~ spl12_39
| ~ spl12_60 ),
inference(forward_demodulation,[],[f559,f365]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(X0) )
| ~ spl12_24
| ~ spl12_31
| ~ spl12_39
| ~ spl12_60 ),
inference(forward_demodulation,[],[f558,f364]) ).
fof(f558,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK3(X0)) )
| ~ spl12_39
| ~ spl12_60 ),
inference(resolution,[],[f552,f352]) ).
fof(f704,plain,
( spl12_83
| ~ spl12_7
| ~ spl12_53 ),
inference(avatar_split_clause,[],[f461,f430,f197,f702]) ).
fof(f461,plain,
( ! [X0] :
( sK5 = X0
| ~ empty(X0) )
| ~ spl12_7
| ~ spl12_53 ),
inference(resolution,[],[f431,f199]) ).
fof(f700,plain,
( spl12_82
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f445,f401,f319,f197,f187,f697]) ).
fof(f697,plain,
( spl12_82
<=> sK5 = relation_inverse(relation_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_82])]) ).
fof(f445,plain,
( sK5 = relation_inverse(relation_inverse(sK5))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_31
| ~ spl12_46 ),
inference(forward_demodulation,[],[f435,f365]) ).
fof(f435,plain,
( empty_set = relation_inverse(relation_inverse(empty_set))
| ~ spl12_5
| ~ spl12_46 ),
inference(resolution,[],[f402,f189]) ).
fof(f695,plain,
( spl12_81
| ~ spl12_15
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f443,f401,f237,f692]) ).
fof(f692,plain,
( spl12_81
<=> sK10 = relation_inverse(relation_inverse(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
fof(f443,plain,
( sK10 = relation_inverse(relation_inverse(sK10))
| ~ spl12_15
| ~ spl12_46 ),
inference(resolution,[],[f402,f239]) ).
fof(f690,plain,
( spl12_80
| ~ spl12_13
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f442,f401,f227,f687]) ).
fof(f687,plain,
( spl12_80
<=> sK9 = relation_inverse(relation_inverse(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
fof(f442,plain,
( sK9 = relation_inverse(relation_inverse(sK9))
| ~ spl12_13
| ~ spl12_46 ),
inference(resolution,[],[f402,f229]) ).
fof(f685,plain,
( spl12_79
| ~ spl12_12
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f441,f401,f222,f682]) ).
fof(f682,plain,
( spl12_79
<=> sK8 = relation_inverse(relation_inverse(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
fof(f441,plain,
( sK8 = relation_inverse(relation_inverse(sK8))
| ~ spl12_12
| ~ spl12_46 ),
inference(resolution,[],[f402,f224]) ).
fof(f680,plain,
( spl12_78
| ~ spl12_9
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f439,f401,f207,f677]) ).
fof(f677,plain,
( spl12_78
<=> sK6 = relation_inverse(relation_inverse(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_78])]) ).
fof(f439,plain,
( sK6 = relation_inverse(relation_inverse(sK6))
| ~ spl12_9
| ~ spl12_46 ),
inference(resolution,[],[f402,f209]) ).
fof(f673,plain,
( spl12_77
| ~ spl12_26
| ~ spl12_36 ),
inference(avatar_split_clause,[],[f380,f339,f288,f671]) ).
fof(f671,plain,
( spl12_77
<=> ! [X0] :
( ~ empty(X0)
| function(relation_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_77])]) ).
fof(f288,plain,
( spl12_26
<=> ! [X0] :
( function(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f380,plain,
( ! [X0] :
( ~ empty(X0)
| function(relation_inverse(X0)) )
| ~ spl12_26
| ~ spl12_36 ),
inference(resolution,[],[f340,f289]) ).
fof(f289,plain,
( ! [X0] :
( ~ empty(X0)
| function(X0) )
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f669,plain,
( spl12_76
| ~ spl12_26
| ~ spl12_34 ),
inference(avatar_split_clause,[],[f376,f331,f288,f667]) ).
fof(f667,plain,
( spl12_76
<=> ! [X0] :
( ~ empty(X0)
| function(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f376,plain,
( ! [X0] :
( ~ empty(X0)
| function(relation_dom(X0)) )
| ~ spl12_26
| ~ spl12_34 ),
inference(resolution,[],[f332,f289]) ).
fof(f665,plain,
( spl12_75
| ~ spl12_26
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f372,f323,f288,f663]) ).
fof(f663,plain,
( spl12_75
<=> ! [X0] :
( ~ empty(X0)
| function(relation_rng(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f372,plain,
( ! [X0] :
( ~ empty(X0)
| function(relation_rng(X0)) )
| ~ spl12_26
| ~ spl12_32 ),
inference(resolution,[],[f324,f289]) ).
fof(f659,plain,
( spl12_74
| ~ spl12_70
| ~ spl12_73 ),
inference(avatar_split_clause,[],[f655,f652,f629,f657]) ).
fof(f657,plain,
( spl12_74
<=> ! [X0] : sK3(X0) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_74])]) ).
fof(f652,plain,
( spl12_73
<=> ! [X0] : empty_set = sK3(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
fof(f655,plain,
( ! [X0] : sK3(X0) = sK5
| ~ spl12_70
| ~ spl12_73 ),
inference(forward_demodulation,[],[f653,f631]) ).
fof(f653,plain,
( ! [X0] : empty_set = sK3(X0)
| ~ spl12_73 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( spl12_73
| ~ spl12_24
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f364,f319,f280,f652]) ).
fof(f642,plain,
( spl12_72
| ~ spl12_7
| ~ spl12_19
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f369,f319,f257,f197,f639]) ).
fof(f639,plain,
( spl12_72
<=> sK5 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_72])]) ).
fof(f369,plain,
( sK5 = sK11
| ~ spl12_7
| ~ spl12_19
| ~ spl12_31 ),
inference(forward_demodulation,[],[f367,f365]) ).
fof(f367,plain,
( empty_set = sK11
| ~ spl12_19
| ~ spl12_31 ),
inference(resolution,[],[f320,f259]) ).
fof(f637,plain,
( spl12_71
| ~ spl12_7
| ~ spl12_10
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f368,f319,f212,f197,f634]) ).
fof(f634,plain,
( spl12_71
<=> sK5 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
fof(f368,plain,
( sK5 = sK7
| ~ spl12_7
| ~ spl12_10
| ~ spl12_31 ),
inference(forward_demodulation,[],[f366,f365]) ).
fof(f366,plain,
( empty_set = sK7
| ~ spl12_10
| ~ spl12_31 ),
inference(resolution,[],[f320,f214]) ).
fof(f632,plain,
( spl12_70
| ~ spl12_7
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f365,f319,f197,f629]) ).
fof(f626,plain,
( spl12_69
| ~ spl12_24
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f305,f292,f280,f624]) ).
fof(f624,plain,
( spl12_69
<=> ! [X0] : relation(sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_69])]) ).
fof(f292,plain,
( spl12_27
<=> ! [X0] :
( relation(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f305,plain,
( ! [X0] : relation(sK3(X0))
| ~ spl12_24
| ~ spl12_27 ),
inference(resolution,[],[f293,f281]) ).
fof(f293,plain,
( ! [X0] :
( ~ empty(X0)
| relation(X0) )
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f621,plain,
( spl12_68
| ~ spl12_24
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f300,f288,f280,f619]) ).
fof(f619,plain,
( spl12_68
<=> ! [X0] : function(sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_68])]) ).
fof(f300,plain,
( ! [X0] : function(sK3(X0))
| ~ spl12_24
| ~ spl12_26 ),
inference(resolution,[],[f289,f281]) ).
fof(f610,plain,
( ~ spl12_1
| ~ spl12_2
| spl12_67
| ~ spl12_3
| ~ spl12_62 ),
inference(avatar_split_clause,[],[f575,f572,f177,f607,f172,f167]) ).
fof(f172,plain,
( spl12_2
<=> function(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f177,plain,
( spl12_3
<=> one_to_one(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f572,plain,
( spl12_62
<=> ! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
fof(f575,plain,
( function_inverse(sK0) = relation_inverse(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| ~ spl12_3
| ~ spl12_62 ),
inference(resolution,[],[f573,f179]) ).
fof(f179,plain,
( one_to_one(sK0)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f573,plain,
( ! [X0] :
( ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0)
| ~ function(X0)
| ~ relation(X0) )
| ~ spl12_62 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f598,plain,
( ~ spl12_65
| spl12_66
| ~ spl12_36
| ~ spl12_54 ),
inference(avatar_split_clause,[],[f549,f452,f339,f595,f591]) ).
fof(f595,plain,
( spl12_66
<=> empty(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_66])]) ).
fof(f549,plain,
( empty(sK0)
| ~ empty(relation_inverse(sK0))
| ~ spl12_36
| ~ spl12_54 ),
inference(superposition,[],[f340,f454]) ).
fof(f586,plain,
( spl12_64
| ~ spl12_1
| ~ spl12_56 ),
inference(avatar_split_clause,[],[f505,f472,f167,f583]) ).
fof(f505,plain,
( relation_dom(sK0) = relation_rng(relation_inverse(sK0))
| ~ spl12_1
| ~ spl12_56 ),
inference(resolution,[],[f473,f169]) ).
fof(f169,plain,
( relation(sK0)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f581,plain,
( spl12_63
| ~ spl12_1
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f489,f468,f167,f578]) ).
fof(f489,plain,
( relation_rng(sK0) = relation_dom(relation_inverse(sK0))
| ~ spl12_1
| ~ spl12_55 ),
inference(resolution,[],[f469,f169]) ).
fof(f574,plain,
spl12_62,
inference(avatar_split_clause,[],[f135,f572]) ).
fof(f135,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f564,plain,
spl12_61,
inference(avatar_split_clause,[],[f149,f562]) ).
fof(f149,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f553,plain,
spl12_60,
inference(avatar_split_clause,[],[f150,f551]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f546,plain,
spl12_59,
inference(avatar_split_clause,[],[f132,f544]) ).
fof(f544,plain,
( spl12_59
<=> ! [X0] :
( function(relation_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).
fof(f132,plain,
! [X0] :
( function(relation_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( function(relation_inverse(X0))
& relation(relation_inverse(X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( function(relation_inverse(X0))
& relation(relation_inverse(X0)) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( function(relation_inverse(X0))
& relation(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_funct_1) ).
fof(f482,plain,
spl12_58,
inference(avatar_split_clause,[],[f145,f480]) ).
fof(f145,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f478,plain,
spl12_57,
inference(avatar_split_clause,[],[f138,f476]) ).
fof(f138,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& empty(X0)
& relation(X0) )
=> ( one_to_one(X0)
& function(X0)
& relation(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(f474,plain,
spl12_56,
inference(avatar_split_clause,[],[f128,f472]) ).
fof(f128,plain,
! [X0] :
( relation_dom(X0) = relation_rng(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f470,plain,
spl12_55,
inference(avatar_split_clause,[],[f127,f468]) ).
fof(f127,plain,
! [X0] :
( relation_rng(X0) = relation_dom(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f455,plain,
( spl12_54
| ~ spl12_1
| ~ spl12_46 ),
inference(avatar_split_clause,[],[f438,f401,f167,f452]) ).
fof(f438,plain,
( sK0 = relation_inverse(relation_inverse(sK0))
| ~ spl12_1
| ~ spl12_46 ),
inference(resolution,[],[f402,f169]) ).
fof(f432,plain,
spl12_53,
inference(avatar_split_clause,[],[f147,f430]) ).
fof(f147,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f428,plain,
spl12_52,
inference(avatar_split_clause,[],[f146,f426]) ).
fof(f146,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f424,plain,
spl12_51,
inference(avatar_split_clause,[],[f134,f422]) ).
fof(f422,plain,
( spl12_51
<=> ! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).
fof(f134,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f420,plain,
( spl12_50
| ~ spl12_7
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f306,f292,f197,f417]) ).
fof(f417,plain,
( spl12_50
<=> relation(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
fof(f306,plain,
( relation(sK5)
| ~ spl12_7
| ~ spl12_27 ),
inference(resolution,[],[f293,f199]) ).
fof(f415,plain,
spl12_49,
inference(avatar_split_clause,[],[f133,f413]) ).
fof(f413,plain,
( spl12_49
<=> ! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
fof(f133,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f411,plain,
spl12_48,
inference(avatar_split_clause,[],[f130,f409]) ).
fof(f409,plain,
( spl12_48
<=> ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f130,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f407,plain,
spl12_47,
inference(avatar_split_clause,[],[f129,f405]) ).
fof(f405,plain,
( spl12_47
<=> ! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
fof(f129,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f403,plain,
spl12_46,
inference(avatar_split_clause,[],[f126,f401]) ).
fof(f126,plain,
! [X0] :
( relation_inverse(relation_inverse(X0)) = X0
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( relation_inverse(relation_inverse(X0)) = X0
| ~ relation(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( relation(X0)
=> relation_inverse(relation_inverse(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f399,plain,
spl12_45,
inference(avatar_split_clause,[],[f114,f397]) ).
fof(f397,plain,
( spl12_45
<=> ! [X0] :
( element(sK1(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).
fof(f114,plain,
! [X0] :
( element(sK1(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( ~ empty(sK1(X0))
& element(sK1(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f48,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK1(X0))
& element(sK1(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f395,plain,
spl12_44,
inference(avatar_split_clause,[],[f144,f393]) ).
fof(f393,plain,
( spl12_44
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
fof(f144,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f391,plain,
spl12_43,
inference(avatar_split_clause,[],[f143,f389]) ).
fof(f389,plain,
( spl12_43
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
fof(f143,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f386,plain,
( spl12_42
| ~ spl12_10
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f302,f288,f212,f383]) ).
fof(f383,plain,
( spl12_42
<=> function(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f302,plain,
( function(sK7)
| ~ spl12_10
| ~ spl12_26 ),
inference(resolution,[],[f289,f214]) ).
fof(f362,plain,
( spl12_41
| ~ spl12_7
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f301,f288,f197,f359]) ).
fof(f301,plain,
( function(sK5)
| ~ spl12_7
| ~ spl12_26 ),
inference(resolution,[],[f289,f199]) ).
fof(f357,plain,
spl12_40,
inference(avatar_split_clause,[],[f148,f355]) ).
fof(f355,plain,
( spl12_40
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
fof(f148,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f353,plain,
spl12_39,
inference(avatar_split_clause,[],[f140,f351]) ).
fof(f140,plain,
! [X0] : element(sK3(X0),powerset(X0)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( empty(sK3(X0))
& element(sK3(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f26,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK3(X0))
& element(sK3(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f349,plain,
spl12_38,
inference(avatar_split_clause,[],[f125,f347]) ).
fof(f125,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> relation(relation_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f345,plain,
spl12_37,
inference(avatar_split_clause,[],[f124,f343]) ).
fof(f343,plain,
( spl12_37
<=> ! [X0] :
( relation(relation_inverse(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f124,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( relation(relation_inverse(X0))
& empty(relation_inverse(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_inverse(X0))
& empty(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_relat_1) ).
fof(f341,plain,
spl12_36,
inference(avatar_split_clause,[],[f123,f339]) ).
fof(f123,plain,
! [X0] :
( empty(relation_inverse(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f337,plain,
spl12_35,
inference(avatar_split_clause,[],[f122,f335]) ).
fof(f335,plain,
( spl12_35
<=> ! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f122,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f333,plain,
spl12_34,
inference(avatar_split_clause,[],[f121,f331]) ).
fof(f121,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f329,plain,
spl12_33,
inference(avatar_split_clause,[],[f120,f327]) ).
fof(f327,plain,
( spl12_33
<=> ! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f120,plain,
! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f325,plain,
spl12_32,
inference(avatar_split_clause,[],[f119,f323]) ).
fof(f119,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f321,plain,
spl12_31,
inference(avatar_split_clause,[],[f118,f319]) ).
fof(f118,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f317,plain,
( spl12_30
| ~ spl12_4
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f299,f288,f182,f314]) ).
fof(f314,plain,
( spl12_30
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f299,plain,
( function(empty_set)
| ~ spl12_4
| ~ spl12_26 ),
inference(resolution,[],[f289,f184]) ).
fof(f312,plain,
spl12_29,
inference(avatar_split_clause,[],[f115,f310]) ).
fof(f310,plain,
( spl12_29
<=> ! [X0] :
( ~ empty(sK1(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f115,plain,
! [X0] :
( ~ empty(sK1(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f298,plain,
spl12_28,
inference(avatar_split_clause,[],[f139,f296]) ).
fof(f139,plain,
! [X0] : element(sK2(X0),X0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] : element(sK2(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f8,f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f294,plain,
spl12_27,
inference(avatar_split_clause,[],[f117,f292]) ).
fof(f117,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f290,plain,
spl12_26,
inference(avatar_split_clause,[],[f116,f288]) ).
fof(f116,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f286,plain,
spl12_25,
inference(avatar_split_clause,[],[f142,f284]) ).
fof(f284,plain,
( spl12_25
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f142,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f282,plain,
spl12_24,
inference(avatar_split_clause,[],[f141,f280]) ).
fof(f141,plain,
! [X0] : empty(sK3(X0)),
inference(cnf_transformation,[],[f87]) ).
fof(f278,plain,
spl12_23,
inference(avatar_split_clause,[],[f113,f276]) ).
fof(f276,plain,
( spl12_23
<=> ! [X0] : ~ empty(powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f113,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f274,plain,
( ~ spl12_21
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f107,f271,f267]) ).
fof(f107,plain,
( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f80]) ).
fof(f80,plain,
( ? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f265,plain,
spl12_20,
inference(avatar_split_clause,[],[f165,f262]) ).
fof(f262,plain,
( spl12_20
<=> function(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f165,plain,
function(sK11),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( function(sK11)
& empty(sK11)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f24,f102]) ).
fof(f102,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK11)
& empty(sK11)
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f260,plain,
spl12_19,
inference(avatar_split_clause,[],[f164,f257]) ).
fof(f164,plain,
empty(sK11),
inference(cnf_transformation,[],[f103]) ).
fof(f255,plain,
spl12_18,
inference(avatar_split_clause,[],[f163,f252]) ).
fof(f252,plain,
( spl12_18
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f163,plain,
relation(sK11),
inference(cnf_transformation,[],[f103]) ).
fof(f250,plain,
spl12_17,
inference(avatar_split_clause,[],[f162,f247]) ).
fof(f247,plain,
( spl12_17
<=> one_to_one(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f162,plain,
one_to_one(sK10),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( one_to_one(sK10)
& function(sK10)
& relation(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f28,f100]) ).
fof(f100,plain,
( ? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( one_to_one(sK10)
& function(sK10)
& relation(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f245,plain,
spl12_16,
inference(avatar_split_clause,[],[f161,f242]) ).
fof(f242,plain,
( spl12_16
<=> function(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f161,plain,
function(sK10),
inference(cnf_transformation,[],[f101]) ).
fof(f240,plain,
spl12_15,
inference(avatar_split_clause,[],[f160,f237]) ).
fof(f160,plain,
relation(sK10),
inference(cnf_transformation,[],[f101]) ).
fof(f235,plain,
spl12_14,
inference(avatar_split_clause,[],[f159,f232]) ).
fof(f159,plain,
function(sK9),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( function(sK9)
& relation(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f20,f98]) ).
fof(f98,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK9)
& relation(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f230,plain,
spl12_13,
inference(avatar_split_clause,[],[f158,f227]) ).
fof(f158,plain,
relation(sK9),
inference(cnf_transformation,[],[f99]) ).
fof(f225,plain,
spl12_12,
inference(avatar_split_clause,[],[f157,f222]) ).
fof(f157,plain,
relation(sK8),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
relation(sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f45,f96]) ).
fof(f96,plain,
( ? [X0] : relation(X0)
=> relation(sK8) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f29]) ).
fof(f29,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f220,plain,
spl12_11,
inference(avatar_split_clause,[],[f156,f217]) ).
fof(f217,plain,
( spl12_11
<=> relation(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f156,plain,
relation(sK7),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( relation(sK7)
& empty(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f21,f94]) ).
fof(f94,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK7)
& empty(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f21,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f215,plain,
spl12_10,
inference(avatar_split_clause,[],[f155,f212]) ).
fof(f155,plain,
empty(sK7),
inference(cnf_transformation,[],[f95]) ).
fof(f210,plain,
spl12_9,
inference(avatar_split_clause,[],[f154,f207]) ).
fof(f154,plain,
relation(sK6),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( relation(sK6)
& ~ empty(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f25,f92]) ).
fof(f92,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK6)
& ~ empty(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f205,plain,
~ spl12_8,
inference(avatar_split_clause,[],[f153,f202]) ).
fof(f202,plain,
( spl12_8
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f153,plain,
~ empty(sK6),
inference(cnf_transformation,[],[f93]) ).
fof(f200,plain,
spl12_7,
inference(avatar_split_clause,[],[f152,f197]) ).
fof(f152,plain,
empty(sK5),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
empty(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f23,f90]) ).
fof(f90,plain,
( ? [X0] : empty(X0)
=> empty(sK5) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f195,plain,
~ spl12_6,
inference(avatar_split_clause,[],[f151,f192]) ).
fof(f192,plain,
( spl12_6
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f151,plain,
~ empty(sK4),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
~ empty(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f27,f88]) ).
fof(f88,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK4) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f190,plain,
spl12_5,
inference(avatar_split_clause,[],[f110,f187]) ).
fof(f110,plain,
relation(empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f185,plain,
spl12_4,
inference(avatar_split_clause,[],[f108,f182]) ).
fof(f108,plain,
empty(empty_set),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f180,plain,
spl12_3,
inference(avatar_split_clause,[],[f106,f177]) ).
fof(f106,plain,
one_to_one(sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f175,plain,
spl12_2,
inference(avatar_split_clause,[],[f105,f172]) ).
fof(f105,plain,
function(sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f170,plain,
spl12_1,
inference(avatar_split_clause,[],[f104,f167]) ).
fof(f104,plain,
relation(sK0),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:40:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (1111)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1114)WARNING: value z3 for option sas not known
% 0.14/0.37 % (1112)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (1115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (1114)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)
% 0.14/0.37 % (1116)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)
% 0.14/0.37 % (1117)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)
% 0.14/0.37 % (1113)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (1118)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [6]
% 0.14/0.39 % (1116)First to succeed.
% 0.14/0.39 % (1114)Also succeeded, but the first one will report.
% 0.14/0.40 % (1116)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (1116)------------------------------
% 0.14/0.40 % (1116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (1116)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (1116)Memory used [KB]: 1220
% 0.14/0.40 % (1116)Time elapsed: 0.025 s
% 0.14/0.40 % (1116)Instructions burned: 36 (million)
% 0.14/0.40 % (1116)------------------------------
% 0.14/0.40 % (1116)------------------------------
% 0.14/0.40 % (1111)Success in time 0.042 s
%------------------------------------------------------------------------------