TSTP Solution File: SEU080+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU080+1 : 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 : Sun May 5 09:26:57 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 130
% Syntax : Number of formulae : 388 ( 86 unt; 0 def)
% Number of atoms : 1036 ( 64 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1132 ( 484 ~; 446 |; 85 &)
% ( 89 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 97 ( 95 usr; 88 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 312 ( 278 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f713,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f153,f158,f163,f168,f173,f178,f183,f188,f193,f198,f203,f208,f213,f218,f223,f228,f233,f238,f243,f248,f253,f257,f261,f265,f269,f273,f277,f292,f296,f300,f304,f308,f312,f316,f332,f336,f340,f344,f348,f352,f356,f361,f366,f386,f396,f400,f405,f418,f428,f440,f449,f453,f458,f464,f469,f474,f478,f491,f496,f502,f508,f515,f519,f523,f527,f534,f540,f541,f542,f543,f544,f562,f583,f594,f598,f602,f621,f625,f633,f637,f641,f668,f672,f680,f692,f696,f710,f712]) ).
fof(f712,plain,
( ~ spl14_4
| spl14_71
| ~ spl14_25
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f509,f506,f263,f580,f160]) ).
fof(f160,plain,
( spl14_4
<=> subset(sK0,relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f580,plain,
( spl14_71
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f263,plain,
( spl14_25
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f506,plain,
( spl14_64
<=> ! [X0] :
( ~ subset(relation_inverse_image(sK2,X0),relation_inverse_image(sK2,sK0))
| subset(X0,sK1)
| ~ subset(X0,relation_rng(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f509,plain,
( subset(sK0,sK1)
| ~ subset(sK0,relation_rng(sK2))
| ~ spl14_25
| ~ spl14_64 ),
inference(resolution,[],[f507,f264]) ).
fof(f264,plain,
( ! [X0] : subset(X0,X0)
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f507,plain,
( ! [X0] :
( ~ subset(relation_inverse_image(sK2,X0),relation_inverse_image(sK2,sK0))
| subset(X0,sK1)
| ~ subset(X0,relation_rng(sK2)) )
| ~ spl14_64 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f710,plain,
( ~ spl14_86
| spl14_87
| ~ spl14_4
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f657,f635,f160,f708,f704]) ).
fof(f704,plain,
( spl14_86
<=> empty(relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f708,plain,
( spl14_87
<=> ! [X0] : ~ in(X0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f635,plain,
( spl14_78
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f657,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ empty(relation_rng(sK2)) )
| ~ spl14_4
| ~ spl14_78 ),
inference(resolution,[],[f636,f162]) ).
fof(f162,plain,
( subset(sK0,relation_rng(sK2))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f636,plain,
( ! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) )
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f696,plain,
( spl14_85
| ~ spl14_39
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f388,f384,f342,f694]) ).
fof(f694,plain,
( spl14_85
<=> ! [X0] :
( empty(powerset(X0))
| in(sK3(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f342,plain,
( spl14_39
<=> ! [X0] :
( element(sK3(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f384,plain,
( spl14_45
<=> ! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f388,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK3(X0),powerset(X0))
| empty(X0) )
| ~ spl14_39
| ~ spl14_45 ),
inference(resolution,[],[f385,f343]) ).
fof(f343,plain,
( ! [X0] :
( element(sK3(X0),powerset(X0))
| empty(X0) )
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f385,plain,
( ! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) )
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f692,plain,
( spl14_84
| ~ spl14_42
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f387,f384,f354,f690]) ).
fof(f690,plain,
( spl14_84
<=> ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f354,plain,
( spl14_42
<=> ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f387,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) )
| ~ spl14_42
| ~ spl14_45 ),
inference(resolution,[],[f385,f355]) ).
fof(f355,plain,
( ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) )
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f680,plain,
( ~ spl14_82
| spl14_83
| ~ spl14_65
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f663,f635,f512,f678,f674]) ).
fof(f674,plain,
( spl14_82
<=> empty(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f678,plain,
( spl14_83
<=> ! [X0] : ~ in(X0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f512,plain,
( spl14_65
<=> subset(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f663,plain,
( ! [X0] :
( ~ in(X0,sK1)
| ~ empty(sK0) )
| ~ spl14_65
| ~ spl14_78 ),
inference(resolution,[],[f636,f514]) ).
fof(f514,plain,
( subset(sK1,sK0)
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f672,plain,
( spl14_81
| ~ spl14_39
| ~ spl14_49 ),
inference(avatar_split_clause,[],[f420,f416,f342,f670]) ).
fof(f670,plain,
( spl14_81
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK3(X1))
| empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f416,plain,
( spl14_49
<=> ! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f420,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK3(X1))
| empty(X1) )
| ~ spl14_39
| ~ spl14_49 ),
inference(resolution,[],[f417,f343]) ).
fof(f417,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) )
| ~ spl14_49 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f668,plain,
( spl14_80
| ~ spl14_42
| ~ spl14_49 ),
inference(avatar_split_clause,[],[f419,f416,f354,f666]) ).
fof(f666,plain,
( spl14_80
<=> ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) )
| ~ spl14_42
| ~ spl14_49 ),
inference(resolution,[],[f417,f355]) ).
fof(f641,plain,
( spl14_79
| ~ spl14_28
| ~ spl14_49 ),
inference(avatar_split_clause,[],[f421,f416,f275,f639]) ).
fof(f639,plain,
( spl14_79
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK4(powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
fof(f275,plain,
( spl14_28
<=> ! [X0] : element(sK4(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f421,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK4(powerset(X1))) )
| ~ spl14_28
| ~ spl14_49 ),
inference(resolution,[],[f417,f276]) ).
fof(f276,plain,
( ! [X0] : element(sK4(X0),X0)
| ~ spl14_28 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f637,plain,
( spl14_78
| ~ spl14_42
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f409,f398,f354,f635]) ).
fof(f398,plain,
( spl14_47
<=> ! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) )
| ~ spl14_42
| ~ spl14_47 ),
inference(resolution,[],[f399,f355]) ).
fof(f399,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) )
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f633,plain,
( spl14_77
| ~ spl14_32
| ~ spl14_44 ),
inference(avatar_split_clause,[],[f375,f364,f302,f631]) ).
fof(f631,plain,
( spl14_77
<=> ! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
fof(f302,plain,
( spl14_32
<=> ! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f364,plain,
( spl14_44
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f375,plain,
( ! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl14_32
| ~ spl14_44 ),
inference(resolution,[],[f365,f303]) ).
fof(f303,plain,
( ! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) )
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f365,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f625,plain,
( spl14_76
| ~ spl14_28
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f411,f398,f275,f623]) ).
fof(f623,plain,
( spl14_76
<=> ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK4(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f411,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK4(powerset(X0))) )
| ~ spl14_28
| ~ spl14_47 ),
inference(resolution,[],[f399,f276]) ).
fof(f621,plain,
( spl14_75
| ~ spl14_10
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f392,f384,f310,f298,f259,f190,f619]) ).
fof(f619,plain,
( spl14_75
<=> ! [X0] :
( in(sK7,powerset(X0))
| empty(powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f190,plain,
( spl14_10
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f259,plain,
( spl14_24
<=> ! [X0] : empty(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f298,plain,
( spl14_31
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f310,plain,
( spl14_34
<=> ! [X0] : element(sK5(X0),powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f392,plain,
( ! [X0] :
( in(sK7,powerset(X0))
| empty(powerset(X0)) )
| ~ spl14_10
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_45 ),
inference(forward_demodulation,[],[f391,f319]) ).
fof(f319,plain,
( empty_set = sK7
| ~ spl14_10
| ~ spl14_31 ),
inference(resolution,[],[f299,f192]) ).
fof(f192,plain,
( empty(sK7)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f299,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f391,plain,
( ! [X0] :
( in(empty_set,powerset(X0))
| empty(powerset(X0)) )
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_45 ),
inference(forward_demodulation,[],[f390,f318]) ).
fof(f318,plain,
( ! [X0] : empty_set = sK5(X0)
| ~ spl14_24
| ~ spl14_31 ),
inference(resolution,[],[f299,f260]) ).
fof(f260,plain,
( ! [X0] : empty(sK5(X0))
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f390,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK5(X0),powerset(X0)) )
| ~ spl14_34
| ~ spl14_45 ),
inference(resolution,[],[f385,f311]) ).
fof(f311,plain,
( ! [X0] : element(sK5(X0),powerset(X0))
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f602,plain,
( spl14_74
| ~ spl14_28
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f389,f384,f275,f600]) ).
fof(f600,plain,
( spl14_74
<=> ! [X0] :
( empty(X0)
| in(sK4(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f389,plain,
( ! [X0] :
( empty(X0)
| in(sK4(X0),X0) )
| ~ spl14_28
| ~ spl14_45 ),
inference(resolution,[],[f385,f276]) ).
fof(f598,plain,
( spl14_73
| ~ spl14_39
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f370,f350,f342,f596]) ).
fof(f596,plain,
( spl14_73
<=> ! [X0] :
( subset(sK3(X0),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f350,plain,
( spl14_41
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f370,plain,
( ! [X0] :
( subset(sK3(X0),X0)
| empty(X0) )
| ~ spl14_39
| ~ spl14_41 ),
inference(resolution,[],[f351,f343]) ).
fof(f351,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) )
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f594,plain,
( spl14_72
| ~ spl14_10
| ~ spl14_31
| ~ spl14_32 ),
inference(avatar_split_clause,[],[f327,f302,f298,f190,f592]) ).
fof(f592,plain,
( spl14_72
<=> ! [X0] :
( relation_rng(X0) = sK7
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f327,plain,
( ! [X0] :
( relation_rng(X0) = sK7
| ~ empty(X0) )
| ~ spl14_10
| ~ spl14_31
| ~ spl14_32 ),
inference(forward_demodulation,[],[f324,f319]) ).
fof(f324,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(X0) )
| ~ spl14_31
| ~ spl14_32 ),
inference(resolution,[],[f303,f299]) ).
fof(f583,plain,
( ~ spl14_71
| spl14_3
| ~ spl14_46
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f559,f512,f394,f155,f580]) ).
fof(f155,plain,
( spl14_3
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f394,plain,
( spl14_46
<=> ! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f559,plain,
( sK0 = sK1
| ~ subset(sK0,sK1)
| ~ spl14_46
| ~ spl14_65 ),
inference(resolution,[],[f514,f395]) ).
fof(f395,plain,
( ! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) )
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f562,plain,
( spl14_68
| ~ spl14_31
| ~ spl14_57 ),
inference(avatar_split_clause,[],[f545,f461,f298,f525]) ).
fof(f525,plain,
( spl14_68
<=> ! [X0] :
( sK7 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f461,plain,
( spl14_57
<=> empty_set = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f545,plain,
( ! [X0] :
( sK7 = X0
| ~ empty(X0) )
| ~ spl14_31
| ~ spl14_57 ),
inference(forward_demodulation,[],[f299,f463]) ).
fof(f463,plain,
( empty_set = sK7
| ~ spl14_57 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f544,plain,
( ~ spl14_7
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f535,plain,
( $false
| ~ spl14_7
| ~ spl14_69 ),
inference(resolution,[],[f530,f177]) ).
fof(f177,plain,
( empty(empty_set)
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl14_7
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f530,plain,
( ! [X0] : ~ empty(X0)
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl14_69
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f543,plain,
( ~ spl14_24
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| ~ spl14_24
| ~ spl14_69 ),
inference(resolution,[],[f530,f260]) ).
fof(f542,plain,
( ~ spl14_10
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl14_10
| ~ spl14_69 ),
inference(resolution,[],[f530,f192]) ).
fof(f541,plain,
( ~ spl14_13
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl14_13
| ~ spl14_69 ),
inference(resolution,[],[f530,f207]) ).
fof(f207,plain,
( empty(sK9)
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl14_13
<=> empty(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f540,plain,
( ~ spl14_21
| ~ spl14_69 ),
inference(avatar_contradiction_clause,[],[f539]) ).
fof(f539,plain,
( $false
| ~ spl14_21
| ~ spl14_69 ),
inference(resolution,[],[f530,f247]) ).
fof(f247,plain,
( empty(sK13)
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl14_21
<=> empty(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f534,plain,
( spl14_69
| spl14_70
| ~ spl14_10
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f414,f398,f310,f298,f259,f190,f532,f529]) ).
fof(f532,plain,
( spl14_70
<=> ! [X1] : ~ in(X1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ in(X1,sK7)
| ~ empty(X0) )
| ~ spl14_10
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_47 ),
inference(forward_demodulation,[],[f413,f319]) ).
fof(f413,plain,
( ! [X0,X1] :
( ~ in(X1,empty_set)
| ~ empty(X0) )
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_47 ),
inference(forward_demodulation,[],[f412,f318]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK5(X0)) )
| ~ spl14_34
| ~ spl14_47 ),
inference(resolution,[],[f399,f311]) ).
fof(f527,plain,
( spl14_68
| ~ spl14_10
| ~ spl14_44 ),
inference(avatar_split_clause,[],[f377,f364,f190,f525]) ).
fof(f377,plain,
( ! [X0] :
( sK7 = X0
| ~ empty(X0) )
| ~ spl14_10
| ~ spl14_44 ),
inference(resolution,[],[f365,f192]) ).
fof(f523,plain,
( spl14_67
| ~ spl14_28
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f368,f350,f275,f521]) ).
fof(f521,plain,
( spl14_67
<=> ! [X0] : subset(sK4(powerset(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f368,plain,
( ! [X0] : subset(sK4(powerset(X0)),X0)
| ~ spl14_28
| ~ spl14_41 ),
inference(resolution,[],[f351,f276]) ).
fof(f519,plain,
( spl14_66
| ~ spl14_26
| ~ spl14_32 ),
inference(avatar_split_clause,[],[f326,f302,f267,f517]) ).
fof(f517,plain,
( spl14_66
<=> ! [X0] :
( ~ empty(X0)
| function(relation_rng(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f267,plain,
( spl14_26
<=> ! [X0] :
( function(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f326,plain,
( ! [X0] :
( ~ empty(X0)
| function(relation_rng(X0)) )
| ~ spl14_26
| ~ spl14_32 ),
inference(resolution,[],[f303,f268]) ).
fof(f268,plain,
( ! [X0] :
( ~ empty(X0)
| function(X0) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f515,plain,
( spl14_65
| ~ spl14_25
| ~ spl14_63 ),
inference(avatar_split_clause,[],[f503,f500,f263,f512]) ).
fof(f500,plain,
( spl14_63
<=> ! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| subset(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f503,plain,
( subset(sK1,sK0)
| ~ spl14_25
| ~ spl14_63 ),
inference(resolution,[],[f501,f264]) ).
fof(f501,plain,
( ! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| subset(sK1,X0) )
| ~ spl14_63 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f508,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_64
| ~ spl14_6
| ~ spl14_50 ),
inference(avatar_split_clause,[],[f431,f426,f170,f506,f150,f145]) ).
fof(f145,plain,
( spl14_1
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f150,plain,
( spl14_2
<=> function(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f170,plain,
( spl14_6
<=> relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f426,plain,
( spl14_50
<=> ! [X2,X0,X1] :
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f431,plain,
( ! [X0] :
( ~ subset(relation_inverse_image(sK2,X0),relation_inverse_image(sK2,sK0))
| ~ subset(X0,relation_rng(sK2))
| subset(X0,sK1)
| ~ function(sK2)
| ~ relation(sK2) )
| ~ spl14_6
| ~ spl14_50 ),
inference(superposition,[],[f427,f172]) ).
fof(f172,plain,
( relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f427,plain,
( ! [X2,X0,X1] :
( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ subset(X0,relation_rng(X2))
| subset(X0,X1)
| ~ function(X2)
| ~ relation(X2) )
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f502,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| spl14_63
| ~ spl14_6
| ~ spl14_50 ),
inference(avatar_split_clause,[],[f430,f426,f170,f500,f165,f150,f145]) ).
fof(f165,plain,
( spl14_5
<=> subset(sK1,relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f430,plain,
( ! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| ~ subset(sK1,relation_rng(sK2))
| subset(sK1,X0)
| ~ function(sK2)
| ~ relation(sK2) )
| ~ spl14_6
| ~ spl14_50 ),
inference(superposition,[],[f427,f172]) ).
fof(f496,plain,
( spl14_62
| ~ spl14_57
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f492,f489,f461,f494]) ).
fof(f494,plain,
( spl14_62
<=> ! [X0] : sK5(X0) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f489,plain,
( spl14_61
<=> ! [X0] : empty_set = sK5(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f492,plain,
( ! [X0] : sK5(X0) = sK7
| ~ spl14_57
| ~ spl14_61 ),
inference(forward_demodulation,[],[f490,f463]) ).
fof(f490,plain,
( ! [X0] : empty_set = sK5(X0)
| ~ spl14_61 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( spl14_61
| ~ spl14_24
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f318,f298,f259,f489]) ).
fof(f478,plain,
( spl14_60
| ~ spl14_10
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f372,f350,f310,f298,f259,f190,f476]) ).
fof(f476,plain,
( spl14_60
<=> ! [X0] : subset(sK7,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f372,plain,
( ! [X0] : subset(sK7,X0)
| ~ spl14_10
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_41 ),
inference(forward_demodulation,[],[f371,f319]) ).
fof(f371,plain,
( ! [X0] : subset(empty_set,X0)
| ~ spl14_24
| ~ spl14_31
| ~ spl14_34
| ~ spl14_41 ),
inference(forward_demodulation,[],[f369,f318]) ).
fof(f369,plain,
( ! [X0] : subset(sK5(X0),X0)
| ~ spl14_34
| ~ spl14_41 ),
inference(resolution,[],[f351,f311]) ).
fof(f474,plain,
( spl14_59
| ~ spl14_10
| ~ spl14_21
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f323,f298,f245,f190,f471]) ).
fof(f471,plain,
( spl14_59
<=> sK7 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f323,plain,
( sK7 = sK13
| ~ spl14_10
| ~ spl14_21
| ~ spl14_31 ),
inference(forward_demodulation,[],[f321,f319]) ).
fof(f321,plain,
( empty_set = sK13
| ~ spl14_21
| ~ spl14_31 ),
inference(resolution,[],[f299,f247]) ).
fof(f469,plain,
( spl14_58
| ~ spl14_10
| ~ spl14_13
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f322,f298,f205,f190,f466]) ).
fof(f466,plain,
( spl14_58
<=> sK7 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f322,plain,
( sK7 = sK9
| ~ spl14_10
| ~ spl14_13
| ~ spl14_31 ),
inference(forward_demodulation,[],[f320,f319]) ).
fof(f320,plain,
( empty_set = sK9
| ~ spl14_13
| ~ spl14_31 ),
inference(resolution,[],[f299,f207]) ).
fof(f464,plain,
( spl14_57
| ~ spl14_10
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f319,f298,f190,f461]) ).
fof(f458,plain,
( spl14_56
| ~ spl14_24
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f284,f271,f259,f456]) ).
fof(f456,plain,
( spl14_56
<=> ! [X0] : relation(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f271,plain,
( spl14_27
<=> ! [X0] :
( relation(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f284,plain,
( ! [X0] : relation(sK5(X0))
| ~ spl14_24
| ~ spl14_27 ),
inference(resolution,[],[f272,f260]) ).
fof(f272,plain,
( ! [X0] :
( ~ empty(X0)
| relation(X0) )
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f453,plain,
( spl14_55
| ~ spl14_24
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f279,f267,f259,f451]) ).
fof(f451,plain,
( spl14_55
<=> ! [X0] : function(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f279,plain,
( ! [X0] : function(sK5(X0))
| ~ spl14_24
| ~ spl14_26 ),
inference(resolution,[],[f268,f260]) ).
fof(f449,plain,
( ~ spl14_53
| spl14_54
| ~ spl14_5
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f407,f394,f165,f446,f442]) ).
fof(f442,plain,
( spl14_53
<=> subset(relation_rng(sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
fof(f446,plain,
( spl14_54
<=> sK1 = relation_rng(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f407,plain,
( sK1 = relation_rng(sK2)
| ~ subset(relation_rng(sK2),sK1)
| ~ spl14_5
| ~ spl14_46 ),
inference(resolution,[],[f395,f167]) ).
fof(f167,plain,
( subset(sK1,relation_rng(sK2))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f440,plain,
( ~ spl14_51
| spl14_52
| ~ spl14_4
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f406,f394,f160,f437,f433]) ).
fof(f433,plain,
( spl14_51
<=> subset(relation_rng(sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f437,plain,
( spl14_52
<=> sK0 = relation_rng(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f406,plain,
( sK0 = relation_rng(sK2)
| ~ subset(relation_rng(sK2),sK0)
| ~ spl14_4
| ~ spl14_46 ),
inference(resolution,[],[f395,f162]) ).
fof(f428,plain,
spl14_50,
inference(avatar_split_clause,[],[f125,f426]) ).
fof(f125,plain,
! [X2,X0,X1] :
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X0,relation_rng(X2))
& subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(f418,plain,
spl14_49,
inference(avatar_split_clause,[],[f126,f416]) ).
fof(f126,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f405,plain,
( spl14_48
| ~ spl14_10
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f285,f271,f190,f402]) ).
fof(f402,plain,
( spl14_48
<=> relation(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f285,plain,
( relation(sK7)
| ~ spl14_10
| ~ spl14_27 ),
inference(resolution,[],[f272,f192]) ).
fof(f400,plain,
spl14_47,
inference(avatar_split_clause,[],[f127,f398]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f396,plain,
spl14_46,
inference(avatar_split_clause,[],[f120,f394]) ).
fof(f120,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f386,plain,
spl14_45,
inference(avatar_split_clause,[],[f117,f384]) ).
fof(f117,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f366,plain,
spl14_44,
inference(avatar_split_clause,[],[f123,f364]) ).
fof(f123,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f361,plain,
( spl14_43
| ~ spl14_13
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f281,f267,f205,f358]) ).
fof(f358,plain,
( spl14_43
<=> function(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f281,plain,
( function(sK9)
| ~ spl14_13
| ~ spl14_26 ),
inference(resolution,[],[f268,f207]) ).
fof(f356,plain,
spl14_42,
inference(avatar_split_clause,[],[f122,f354]) ).
fof(f122,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f352,plain,
spl14_41,
inference(avatar_split_clause,[],[f121,f350]) ).
fof(f121,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f348,plain,
spl14_40,
inference(avatar_split_clause,[],[f108,f346]) ).
fof(f346,plain,
( spl14_40
<=> ! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f108,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f344,plain,
spl14_39,
inference(avatar_split_clause,[],[f101,f342]) ).
fof(f101,plain,
! [X0] :
( element(sK3(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ~ empty(sK3(X0))
& element(sK3(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f42,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK3(X0))
& element(sK3(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f340,plain,
spl14_38,
inference(avatar_split_clause,[],[f116,f338]) ).
fof(f338,plain,
( spl14_38
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f116,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f336,plain,
spl14_37,
inference(avatar_split_clause,[],[f115,f334]) ).
fof(f334,plain,
( spl14_37
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f115,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,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/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f332,plain,
( spl14_36
| ~ spl14_10
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f280,f267,f190,f329]) ).
fof(f329,plain,
( spl14_36
<=> function(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f280,plain,
( function(sK7)
| ~ spl14_10
| ~ spl14_26 ),
inference(resolution,[],[f268,f192]) ).
fof(f316,plain,
spl14_35,
inference(avatar_split_clause,[],[f124,f314]) ).
fof(f314,plain,
( spl14_35
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f124,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f312,plain,
spl14_34,
inference(avatar_split_clause,[],[f112,f310]) ).
fof(f112,plain,
! [X0] : element(sK5(X0),powerset(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( empty(sK5(X0))
& element(sK5(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f19,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK5(X0))
& element(sK5(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f308,plain,
spl14_33,
inference(avatar_split_clause,[],[f107,f306]) ).
fof(f306,plain,
( spl14_33
<=> ! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f107,plain,
! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f304,plain,
spl14_32,
inference(avatar_split_clause,[],[f106,f302]) ).
fof(f106,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f300,plain,
spl14_31,
inference(avatar_split_clause,[],[f105,f298]) ).
fof(f105,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f296,plain,
spl14_30,
inference(avatar_split_clause,[],[f102,f294]) ).
fof(f294,plain,
( spl14_30
<=> ! [X0] :
( ~ empty(sK3(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f102,plain,
! [X0] :
( ~ empty(sK3(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f292,plain,
( spl14_29
| ~ spl14_7
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f278,f267,f175,f289]) ).
fof(f289,plain,
( spl14_29
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f278,plain,
( function(empty_set)
| ~ spl14_7
| ~ spl14_26 ),
inference(resolution,[],[f268,f177]) ).
fof(f277,plain,
spl14_28,
inference(avatar_split_clause,[],[f111,f275]) ).
fof(f111,plain,
! [X0] : element(sK4(X0),X0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] : element(sK4(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f6,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f273,plain,
spl14_27,
inference(avatar_split_clause,[],[f104,f271]) ).
fof(f104,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f269,plain,
spl14_26,
inference(avatar_split_clause,[],[f103,f267]) ).
fof(f103,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f265,plain,
spl14_25,
inference(avatar_split_clause,[],[f114,f263]) ).
fof(f114,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f261,plain,
spl14_24,
inference(avatar_split_clause,[],[f113,f259]) ).
fof(f113,plain,
! [X0] : empty(sK5(X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f257,plain,
spl14_23,
inference(avatar_split_clause,[],[f100,f255]) ).
fof(f255,plain,
( spl14_23
<=> ! [X0] : ~ empty(powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f100,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f253,plain,
spl14_22,
inference(avatar_split_clause,[],[f141,f250]) ).
fof(f250,plain,
( spl14_22
<=> function(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f141,plain,
function(sK13),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( function(sK13)
& empty(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f17,f87]) ).
fof(f87,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK13)
& empty(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f17,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f248,plain,
spl14_21,
inference(avatar_split_clause,[],[f140,f245]) ).
fof(f140,plain,
empty(sK13),
inference(cnf_transformation,[],[f88]) ).
fof(f243,plain,
spl14_20,
inference(avatar_split_clause,[],[f139,f240]) ).
fof(f240,plain,
( spl14_20
<=> relation(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f139,plain,
relation(sK13),
inference(cnf_transformation,[],[f88]) ).
fof(f238,plain,
spl14_19,
inference(avatar_split_clause,[],[f138,f235]) ).
fof(f235,plain,
( spl14_19
<=> function(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f138,plain,
function(sK12),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( function(sK12)
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f38,f85]) ).
fof(f85,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK12)
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
( function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f21]) ).
fof(f21,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f233,plain,
spl14_18,
inference(avatar_split_clause,[],[f137,f230]) ).
fof(f230,plain,
( spl14_18
<=> relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f137,plain,
relation(sK12),
inference(cnf_transformation,[],[f86]) ).
fof(f228,plain,
spl14_17,
inference(avatar_split_clause,[],[f136,f225]) ).
fof(f225,plain,
( spl14_17
<=> function(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f136,plain,
function(sK11),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( function(sK11)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f13,f83]) ).
fof(f83,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK11)
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f13,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f223,plain,
spl14_16,
inference(avatar_split_clause,[],[f135,f220]) ).
fof(f220,plain,
( spl14_16
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f135,plain,
relation(sK11),
inference(cnf_transformation,[],[f84]) ).
fof(f218,plain,
spl14_15,
inference(avatar_split_clause,[],[f134,f215]) ).
fof(f215,plain,
( spl14_15
<=> relation(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f134,plain,
relation(sK10),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
relation(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f37,f81]) ).
fof(f81,plain,
( ? [X0] : relation(X0)
=> relation(sK10) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f22]) ).
fof(f22,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f213,plain,
spl14_14,
inference(avatar_split_clause,[],[f133,f210]) ).
fof(f210,plain,
( spl14_14
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f133,plain,
relation(sK9),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( relation(sK9)
& empty(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f14,f79]) ).
fof(f79,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK9)
& empty(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f208,plain,
spl14_13,
inference(avatar_split_clause,[],[f132,f205]) ).
fof(f132,plain,
empty(sK9),
inference(cnf_transformation,[],[f80]) ).
fof(f203,plain,
spl14_12,
inference(avatar_split_clause,[],[f131,f200]) ).
fof(f200,plain,
( spl14_12
<=> relation(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f131,plain,
relation(sK8),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( relation(sK8)
& ~ empty(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f77]) ).
fof(f77,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK8)
& ~ empty(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f198,plain,
~ spl14_11,
inference(avatar_split_clause,[],[f130,f195]) ).
fof(f195,plain,
( spl14_11
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f130,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f78]) ).
fof(f193,plain,
spl14_10,
inference(avatar_split_clause,[],[f129,f190]) ).
fof(f129,plain,
empty(sK7),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
empty(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f16,f75]) ).
fof(f75,plain,
( ? [X0] : empty(X0)
=> empty(sK7) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f188,plain,
~ spl14_9,
inference(avatar_split_clause,[],[f128,f185]) ).
fof(f185,plain,
( spl14_9
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f128,plain,
~ empty(sK6),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
~ empty(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f20,f73]) ).
fof(f73,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK6) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f183,plain,
spl14_8,
inference(avatar_split_clause,[],[f97,f180]) ).
fof(f180,plain,
( spl14_8
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f97,plain,
relation(empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f178,plain,
spl14_7,
inference(avatar_split_clause,[],[f95,f175]) ).
fof(f95,plain,
empty(empty_set),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f173,plain,
spl14_6,
inference(avatar_split_clause,[],[f91,f170]) ).
fof(f91,plain,
relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( sK0 != sK1
& subset(sK1,relation_rng(sK2))
& subset(sK0,relation_rng(sK2))
& relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f62]) ).
fof(f62,plain,
( ? [X0,X1,X2] :
( X0 != X1
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& function(X2)
& relation(X2) )
=> ( sK0 != sK1
& subset(sK1,relation_rng(sK2))
& subset(sK0,relation_rng(sK2))
& relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1)
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2] :
( X0 != X1
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2] :
( X0 != X1
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1) )
=> X0 = X1 ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_funct_1) ).
fof(f168,plain,
spl14_5,
inference(avatar_split_clause,[],[f93,f165]) ).
fof(f93,plain,
subset(sK1,relation_rng(sK2)),
inference(cnf_transformation,[],[f63]) ).
fof(f163,plain,
spl14_4,
inference(avatar_split_clause,[],[f92,f160]) ).
fof(f92,plain,
subset(sK0,relation_rng(sK2)),
inference(cnf_transformation,[],[f63]) ).
fof(f158,plain,
~ spl14_3,
inference(avatar_split_clause,[],[f94,f155]) ).
fof(f94,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f63]) ).
fof(f153,plain,
spl14_2,
inference(avatar_split_clause,[],[f90,f150]) ).
fof(f90,plain,
function(sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f148,plain,
spl14_1,
inference(avatar_split_clause,[],[f89,f145]) ).
fof(f89,plain,
relation(sK2),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:32:35 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10456)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (10461)WARNING: value z3 for option sas not known
% 0.15/0.38 % (10459)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (10460)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (10461)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (10462)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (10463)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (10464)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (10465)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (10463)First to succeed.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (10461)Also succeeded, but the first one will report.
% 0.15/0.40 TRYING [5]
% 0.15/0.40 % (10463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10456"
% 0.15/0.40 % (10463)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (10463)------------------------------
% 0.15/0.40 % (10463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (10463)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (10463)Memory used [KB]: 1034
% 0.15/0.40 % (10463)Time elapsed: 0.017 s
% 0.15/0.40 % (10463)Instructions burned: 21 (million)
% 0.15/0.40 % (10456)Success in time 0.033 s
%------------------------------------------------------------------------------