TSTP Solution File: SEU042+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU042+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:31:48 EDT 2022
% Result : Theorem 6.27s 1.21s
% Output : Refutation 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 128
% Syntax : Number of formulae : 472 ( 71 unt; 0 def)
% Number of atoms : 1488 ( 237 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1764 ( 748 ~; 751 |; 137 &)
% ( 95 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 96 ( 94 usr; 88 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 361 ( 323 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1301,plain,
$false,
inference(avatar_smt_refutation,[],[f214,f219,f224,f229,f234,f239,f244,f249,f254,f259,f264,f269,f274,f279,f284,f285,f290,f291,f296,f301,f306,f307,f312,f317,f322,f327,f339,f341,f355,f364,f365,f368,f379,f386,f391,f408,f414,f506,f507,f518,f524,f533,f538,f588,f599,f604,f623,f629,f634,f639,f734,f750,f756,f760,f765,f774,f809,f814,f870,f887,f891,f896,f901,f906,f910,f915,f926,f931,f936,f945,f963,f967,f971,f975,f985,f990,f1058,f1065,f1145,f1150,f1155,f1161,f1167,f1177,f1182,f1188,f1189,f1196,f1215,f1221,f1300]) ).
fof(f1300,plain,
( ~ spl17_27
| ~ spl17_26
| spl17_4
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f1299,f1193,f226,f344,f348]) ).
fof(f348,plain,
( spl17_27
<=> function(relation_dom_restriction(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f344,plain,
( spl17_26
<=> relation(relation_dom_restriction(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f226,plain,
( spl17_4
<=> one_to_one(relation_dom_restriction(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f1193,plain,
( spl17_85
<=> sK14(relation_dom_restriction(sK9,sK8)) = sK13(relation_dom_restriction(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
fof(f1299,plain,
( one_to_one(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_85 ),
inference(trivial_inequality_removal,[],[f1297]) ).
fof(f1297,plain,
( one_to_one(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| sK13(relation_dom_restriction(sK9,sK8)) != sK13(relation_dom_restriction(sK9,sK8))
| ~ spl17_85 ),
inference(superposition,[],[f188,f1195]) ).
fof(f1195,plain,
( sK14(relation_dom_restriction(sK9,sK8)) = sK13(relation_dom_restriction(sK9,sK8))
| ~ spl17_85 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f188,plain,
! [X0] :
( sK13(X0) != sK14(X0)
| ~ relation(X0)
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ( sK13(X0) != sK14(X0)
& apply(X0,sK14(X0)) = apply(X0,sK13(X0))
& in(sK14(X0),relation_dom(X0))
& in(sK13(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X4) != apply(X0,X3)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f122,f123]) ).
fof(f123,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK13(X0) != sK14(X0)
& apply(X0,sK14(X0)) = apply(X0,sK13(X0))
& in(sK14(X0),relation_dom(X0))
& in(sK13(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X4) != apply(X0,X3)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ? [X2,X1] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0)) ) )
& ( ! [X2,X1] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ relation(X0)
| ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0)) ) )
| ~ function(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f1221,plain,
( spl17_87
| ~ spl17_76
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f1207,f1193,f1062,f1218]) ).
fof(f1218,plain,
( spl17_87
<=> in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),set_intersection2(sK8,relation_dom(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_87])]) ).
fof(f1062,plain,
( spl17_76
<=> in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),set_intersection2(sK8,relation_dom(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).
fof(f1207,plain,
( in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),set_intersection2(sK8,relation_dom(sK9))))
| ~ spl17_76
| ~ spl17_85 ),
inference(backward_demodulation,[],[f1064,f1195]) ).
fof(f1064,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),set_intersection2(sK8,relation_dom(sK9))))
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1215,plain,
( ~ spl17_86
| spl17_75
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f1206,f1193,f1055,f1212]) ).
fof(f1212,plain,
( spl17_86
<=> in(relation_dom(sK9),sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
fof(f1055,plain,
( spl17_75
<=> in(relation_dom(sK9),sK14(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_75])]) ).
fof(f1206,plain,
( ~ in(relation_dom(sK9),sK13(relation_dom_restriction(sK9,sK8)))
| spl17_75
| ~ spl17_85 ),
inference(backward_demodulation,[],[f1057,f1195]) ).
fof(f1057,plain,
( ~ in(relation_dom(sK9),sK14(relation_dom_restriction(sK9,sK8)))
| spl17_75 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1196,plain,
( ~ spl17_79
| spl17_85
| ~ spl17_84 ),
inference(avatar_split_clause,[],[f1191,f1186,f1193,f1152]) ).
fof(f1152,plain,
( spl17_79
<=> in(sK13(relation_dom_restriction(sK9,sK8)),relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
fof(f1186,plain,
( spl17_84
<=> ! [X1] :
( apply(sK9,X1) != apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| sK14(relation_dom_restriction(sK9,sK8)) = X1
| ~ in(X1,relation_dom(sK9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
fof(f1191,plain,
( sK14(relation_dom_restriction(sK9,sK8)) = sK13(relation_dom_restriction(sK9,sK8))
| ~ in(sK13(relation_dom_restriction(sK9,sK8)),relation_dom(sK9))
| ~ spl17_84 ),
inference(equality_resolution,[],[f1187]) ).
fof(f1187,plain,
( ! [X1] :
( apply(sK9,X1) != apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| sK14(relation_dom_restriction(sK9,sK8)) = X1
| ~ in(X1,relation_dom(sK9)) )
| ~ spl17_84 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl17_18
| ~ spl17_67
| ~ spl17_2
| spl17_84
| ~ spl17_21
| ~ spl17_80 ),
inference(avatar_split_clause,[],[f1183,f1158,f314,f1186,f216,f933,f298]) ).
fof(f298,plain,
( spl17_18
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f933,plain,
( spl17_67
<=> in(sK14(relation_dom_restriction(sK9,sK8)),relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).
fof(f216,plain,
( spl17_2
<=> one_to_one(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f314,plain,
( spl17_21
<=> function(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f1158,plain,
( spl17_80
<=> apply(sK9,sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).
fof(f1183,plain,
( ! [X0] :
( ~ function(sK9)
| ~ in(X0,relation_dom(sK9))
| ~ one_to_one(sK9)
| ~ in(sK14(relation_dom_restriction(sK9,sK8)),relation_dom(sK9))
| ~ relation(sK9)
| apply(sK9,X0) != apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| sK14(relation_dom_restriction(sK9,sK8)) = X0 )
| ~ spl17_80 ),
inference(superposition,[],[f184,f1160]) ).
fof(f1160,plain,
( apply(sK9,sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_80 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f184,plain,
! [X3,X0,X4] :
( apply(X0,X4) != apply(X0,X3)
| ~ in(X4,relation_dom(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ in(X3,relation_dom(X0))
| X3 = X4 ),
inference(cnf_transformation,[],[f124]) ).
fof(f1188,plain,
( ~ spl17_2
| ~ spl17_18
| ~ spl17_67
| spl17_84
| ~ spl17_21
| ~ spl17_80 ),
inference(avatar_split_clause,[],[f1184,f1158,f314,f1186,f933,f298,f216]) ).
fof(f1184,plain,
( ! [X1] :
( ~ function(sK9)
| apply(sK9,X1) != apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| ~ in(sK14(relation_dom_restriction(sK9,sK8)),relation_dom(sK9))
| ~ relation(sK9)
| ~ in(X1,relation_dom(sK9))
| sK14(relation_dom_restriction(sK9,sK8)) = X1
| ~ one_to_one(sK9) )
| ~ spl17_80 ),
inference(superposition,[],[f184,f1160]) ).
fof(f1182,plain,
( ~ spl17_83
| ~ spl17_77 ),
inference(avatar_split_clause,[],[f1170,f1142,f1179]) ).
fof(f1179,plain,
( spl17_83
<=> in(sK8,sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
fof(f1142,plain,
( spl17_77
<=> in(sK13(relation_dom_restriction(sK9,sK8)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).
fof(f1170,plain,
( ~ in(sK8,sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_77 ),
inference(resolution,[],[f1144,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( in(X1,X0)
=> ~ in(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f1144,plain,
( in(sK13(relation_dom_restriction(sK9,sK8)),sK8)
| ~ spl17_77 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1177,plain,
( ~ spl17_27
| spl17_82
| spl17_4
| ~ spl17_26
| ~ spl17_53
| ~ spl17_77 ),
inference(avatar_split_clause,[],[f1172,f1142,f763,f344,f226,f1174,f348]) ).
fof(f1174,plain,
( spl17_82
<=> in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,set_intersection2(sK8,relation_dom(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).
fof(f763,plain,
( spl17_53
<=> ! [X8] : relation_dom(relation_dom_restriction(sK9,X8)) = set_intersection2(relation_dom(sK9),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).
fof(f1172,plain,
( ~ relation(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,set_intersection2(sK8,relation_dom(sK9))))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_53
| ~ spl17_77 ),
inference(forward_demodulation,[],[f1171,f158]) ).
fof(f158,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f1171,plain,
( ~ relation(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,set_intersection2(relation_dom(sK9),sK8)))
| ~ spl17_53
| ~ spl17_77 ),
inference(forward_demodulation,[],[f1168,f764]) ).
fof(f764,plain,
( ! [X8] : relation_dom(relation_dom_restriction(sK9,X8)) = set_intersection2(relation_dom(sK9),X8)
| ~ spl17_53 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1168,plain,
( ~ function(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(relation_dom_restriction(sK9,sK8))))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ spl17_77 ),
inference(resolution,[],[f1144,f464]) ).
fof(f464,plain,
! [X0,X1] :
( ~ in(sK13(X0),X1)
| in(sK13(X0),set_intersection2(X1,relation_dom(X0)))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(resolution,[],[f205,f185]) ).
fof(f185,plain,
! [X0] :
( in(sK13(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f205,plain,
! [X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X0)
| in(X3,set_intersection2(X0,X1)) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 )
& ( set_intersection2(X0,X1) = X2
| ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X0) )
| in(sK3(X0,X1,X2),X2) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| ~ in(X4,X2) )
& ( ( in(X4,X1)
& in(X4,X0) )
| in(X4,X2) ) )
=> ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X0) )
| in(sK3(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 )
& ( set_intersection2(X0,X1) = X2
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| ~ in(X4,X2) )
& ( ( in(X4,X1)
& in(X4,X0) )
| in(X4,X2) ) ) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 )
& ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) ) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 )
& ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) )
<=> set_intersection2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f1167,plain,
( spl17_81
| ~ spl17_65
| ~ spl17_80 ),
inference(avatar_split_clause,[],[f1162,f1158,f923,f1164]) ).
fof(f1164,plain,
( spl17_81
<=> apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).
fof(f923,plain,
( spl17_65
<=> apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK14(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).
fof(f1162,plain,
( apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_65
| ~ spl17_80 ),
inference(backward_demodulation,[],[f925,f1160]) ).
fof(f925,plain,
( apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK14(relation_dom_restriction(sK9,sK8)))
| ~ spl17_65 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1161,plain,
( spl17_80
| ~ spl17_68
| ~ spl17_78 ),
inference(avatar_split_clause,[],[f1156,f1147,f942,f1158]) ).
fof(f942,plain,
( spl17_68
<=> apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK14(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
fof(f1147,plain,
( spl17_78
<=> apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).
fof(f1156,plain,
( apply(sK9,sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_68
| ~ spl17_78 ),
inference(backward_demodulation,[],[f944,f1149]) ).
fof(f1149,plain,
( apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_78 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f944,plain,
( apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK14(relation_dom_restriction(sK9,sK8)))
| ~ spl17_68 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1155,plain,
( spl17_79
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f1135,f903,f1152]) ).
fof(f903,plain,
( spl17_62
<=> in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
fof(f1135,plain,
( in(sK13(relation_dom_restriction(sK9,sK8)),relation_dom(sK9))
| ~ spl17_62 ),
inference(resolution,[],[f905,f206]) ).
fof(f206,plain,
! [X3,X0,X1] :
( ~ in(X3,set_intersection2(X0,X1))
| in(X3,X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f905,plain,
( in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(sK9)))
| ~ spl17_62 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f1150,plain,
( spl17_78
| ~ spl17_33
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f1133,f903,f412,f1147]) ).
fof(f412,plain,
( spl17_33
<=> ! [X3] :
( ~ in(X3,set_intersection2(sK8,relation_dom(sK9)))
| apply(sK9,X3) = apply(relation_dom_restriction(sK9,sK8),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f1133,plain,
( apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_33
| ~ spl17_62 ),
inference(resolution,[],[f905,f413]) ).
fof(f413,plain,
( ! [X3] :
( ~ in(X3,set_intersection2(sK8,relation_dom(sK9)))
| apply(sK9,X3) = apply(relation_dom_restriction(sK9,sK8),X3) )
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f1145,plain,
( spl17_77
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f1134,f903,f1142]) ).
fof(f1134,plain,
( in(sK13(relation_dom_restriction(sK9,sK8)),sK8)
| ~ spl17_62 ),
inference(resolution,[],[f905,f207]) ).
fof(f207,plain,
! [X3,X0,X1] :
( ~ in(X3,set_intersection2(X0,X1))
| in(X3,X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f1065,plain,
( ~ spl17_27
| spl17_76
| ~ spl17_26
| spl17_4
| ~ spl17_53
| ~ spl17_67 ),
inference(avatar_split_clause,[],[f1060,f933,f763,f226,f344,f1062,f348]) ).
fof(f1060,plain,
( one_to_one(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),set_intersection2(sK8,relation_dom(sK9))))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_53
| ~ spl17_67 ),
inference(forward_demodulation,[],[f1059,f158]) ).
fof(f1059,plain,
( one_to_one(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),set_intersection2(relation_dom(sK9),sK8)))
| ~ spl17_53
| ~ spl17_67 ),
inference(forward_demodulation,[],[f1051,f764]) ).
fof(f1051,plain,
( ~ relation(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_67 ),
inference(resolution,[],[f935,f465]) ).
fof(f465,plain,
! [X2,X3] :
( ~ in(sK14(X2),X3)
| ~ relation(X2)
| ~ function(X2)
| in(sK14(X2),set_intersection2(X3,relation_dom(X2)))
| one_to_one(X2) ),
inference(resolution,[],[f205,f186]) ).
fof(f186,plain,
! [X0] :
( in(sK14(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f935,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),relation_dom(sK9))
| ~ spl17_67 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1058,plain,
( ~ spl17_75
| ~ spl17_67 ),
inference(avatar_split_clause,[],[f1053,f933,f1055]) ).
fof(f1053,plain,
( ~ in(relation_dom(sK9),sK14(relation_dom_restriction(sK9,sK8)))
| ~ spl17_67 ),
inference(resolution,[],[f935,f195]) ).
fof(f990,plain,
( ~ spl17_74
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f978,f928,f987]) ).
fof(f987,plain,
( spl17_74
<=> in(sK8,sK14(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_74])]) ).
fof(f928,plain,
( spl17_66
<=> in(sK14(relation_dom_restriction(sK9,sK8)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_66])]) ).
fof(f978,plain,
( ~ in(sK8,sK14(relation_dom_restriction(sK9,sK8)))
| ~ spl17_66 ),
inference(resolution,[],[f930,f195]) ).
fof(f930,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),sK8)
| ~ spl17_66 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f985,plain,
( ~ spl17_27
| spl17_4
| spl17_73
| ~ spl17_26
| ~ spl17_53
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f980,f928,f763,f344,f982,f226,f348]) ).
fof(f982,plain,
( spl17_73
<=> in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,set_intersection2(sK8,relation_dom(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
fof(f980,plain,
( ~ relation(relation_dom_restriction(sK9,sK8))
| in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,set_intersection2(sK8,relation_dom(sK9))))
| one_to_one(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_53
| ~ spl17_66 ),
inference(forward_demodulation,[],[f979,f158]) ).
fof(f979,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,set_intersection2(relation_dom(sK9),sK8)))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| ~ spl17_53
| ~ spl17_66 ),
inference(forward_demodulation,[],[f976,f764]) ).
fof(f976,plain,
( one_to_one(relation_dom_restriction(sK9,sK8))
| in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(relation_dom_restriction(sK9,sK8))))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_66 ),
inference(resolution,[],[f930,f465]) ).
fof(f975,plain,
( ~ spl17_18
| spl17_72
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f953,f314,f973,f298]) ).
fof(f973,plain,
( spl17_72
<=> ! [X13,X14] :
( ~ in(X13,set_intersection2(relation_dom(sK9),X14))
| apply(sK9,X13) = apply(relation_dom_restriction(sK9,X14),X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).
fof(f953,plain,
( ! [X14,X13] :
( ~ in(X13,set_intersection2(relation_dom(sK9),X14))
| ~ relation(sK9)
| apply(sK9,X13) = apply(relation_dom_restriction(sK9,X14),X13) )
| ~ spl17_21 ),
inference(resolution,[],[f574,f316]) ).
fof(f316,plain,
( function(sK9)
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f574,plain,
! [X2,X0,X1] :
( ~ function(X1)
| apply(X1,X0) = apply(relation_dom_restriction(X1,X2),X0)
| ~ in(X0,set_intersection2(relation_dom(X1),X2))
| ~ relation(X1) ),
inference(duplicate_literal_removal,[],[f568]) ).
fof(f568,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ relation(X1)
| apply(X1,X0) = apply(relation_dom_restriction(X1,X2),X0)
| ~ in(X0,set_intersection2(relation_dom(X1),X2))
| ~ function(X1)
| ~ function(X1) ),
inference(resolution,[],[f415,f152]) ).
fof(f152,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X1,X0))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(relation_dom_restriction(X1,X0))
& function(relation_dom_restriction(X1,X0)) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( relation(relation_dom_restriction(X1,X0))
& function(relation_dom_restriction(X1,X0)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( relation(relation_dom_restriction(X1,X0))
& function(relation_dom_restriction(X1,X0)) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ relation(relation_dom_restriction(X1,X2))
| ~ in(X0,set_intersection2(relation_dom(X1),X2))
| apply(X1,X0) = apply(relation_dom_restriction(X1,X2),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(forward_subsumption_demodulation,[],[f401,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ~ relation(relation_dom_restriction(X0,X1))
| relation_dom(relation_dom_restriction(X0,X1)) = set_intersection2(relation_dom(X0),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f356,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| ~ function(X0)
| relation_dom(relation_dom_restriction(X0,X1)) = set_intersection2(relation_dom(X0),X1) ),
inference(resolution,[],[f209,f151]) ).
fof(f151,plain,
! [X0,X1] :
( function(relation_dom_restriction(X1,X0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f209,plain,
! [X2,X0] :
( ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0))
| ~ function(X2)
| ~ relation(X2)
| set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ relation(X2)
| ~ function(X2)
| relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ function(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X0) = X1
| ( apply(X1,sK10(X1,X2)) != apply(X2,sK10(X1,X2))
& in(sK10(X1,X2),relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) ) )
| ~ function(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f112,f113]) ).
fof(f113,plain,
! [X1,X2] :
( ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
=> ( apply(X1,sK10(X1,X2)) != apply(X2,sK10(X1,X2))
& in(sK10(X1,X2),relation_dom(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) ) )
| ~ function(X1) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) ) )
| ~ function(X1) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) ) )
| ~ function(X1) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) )
| ~ function(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
<=> relation_dom_restriction(X2,X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(relation_dom_restriction(X1,X2))
| apply(X1,X0) = apply(relation_dom_restriction(X1,X2),X0)
| ~ function(X1) ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ function(X1)
| apply(X1,X0) = apply(relation_dom_restriction(X1,X2),X0)
| ~ function(X1)
| ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1)
| ~ relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(resolution,[],[f208,f151]) ).
fof(f208,plain,
! [X2,X0,X4] :
( ~ function(relation_dom_restriction(X2,X0))
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| ~ function(X2)
| ~ relation(X2)
| apply(relation_dom_restriction(X2,X0),X4) = apply(X2,X4)
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X2,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| ~ function(X2)
| apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1))
| relation_dom_restriction(X2,X0) != X1
| ~ function(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f971,plain,
( ~ spl17_17
| spl17_71
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f954,f251,f969,f293]) ).
fof(f293,plain,
( spl17_17
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f969,plain,
( spl17_71
<=> ! [X16,X15] :
( ~ in(X15,set_intersection2(relation_dom(sK11),X16))
| apply(sK11,X15) = apply(relation_dom_restriction(sK11,X16),X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).
fof(f251,plain,
( spl17_9
<=> function(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f954,plain,
( ! [X16,X15] :
( ~ in(X15,set_intersection2(relation_dom(sK11),X16))
| apply(sK11,X15) = apply(relation_dom_restriction(sK11,X16),X15)
| ~ relation(sK11) )
| ~ spl17_9 ),
inference(resolution,[],[f574,f253]) ).
fof(f253,plain,
( function(sK11)
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f967,plain,
( ~ spl17_6
| spl17_70
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f952,f276,f965,f236]) ).
fof(f236,plain,
( spl17_6
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f965,plain,
( spl17_70
<=> ! [X12,X11] :
( apply(relation_dom_restriction(sK2,X12),X11) = apply(sK2,X11)
| ~ in(X11,set_intersection2(relation_dom(sK2),X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
fof(f276,plain,
( spl17_14
<=> function(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f952,plain,
( ! [X11,X12] :
( apply(relation_dom_restriction(sK2,X12),X11) = apply(sK2,X11)
| ~ relation(sK2)
| ~ in(X11,set_intersection2(relation_dom(sK2),X12)) )
| ~ spl17_14 ),
inference(resolution,[],[f574,f278]) ).
fof(f278,plain,
( function(sK2)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f963,plain,
( ~ spl17_26
| spl17_69
| ~ spl17_27
| ~ spl17_53 ),
inference(avatar_split_clause,[],[f959,f763,f348,f961,f344]) ).
fof(f961,plain,
( spl17_69
<=> ! [X8,X7] :
( ~ in(X7,set_intersection2(set_intersection2(sK8,relation_dom(sK9)),X8))
| apply(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X8),X7) = apply(relation_dom_restriction(sK9,sK8),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).
fof(f959,plain,
( ! [X8,X7] :
( ~ in(X7,set_intersection2(set_intersection2(sK8,relation_dom(sK9)),X8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| apply(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X8),X7) = apply(relation_dom_restriction(sK9,sK8),X7) )
| ~ spl17_27
| ~ spl17_53 ),
inference(forward_demodulation,[],[f958,f158]) ).
fof(f958,plain,
( ! [X8,X7] :
( ~ relation(relation_dom_restriction(sK9,sK8))
| ~ in(X7,set_intersection2(set_intersection2(relation_dom(sK9),sK8),X8))
| apply(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X8),X7) = apply(relation_dom_restriction(sK9,sK8),X7) )
| ~ spl17_27
| ~ spl17_53 ),
inference(forward_demodulation,[],[f950,f764]) ).
fof(f950,plain,
( ! [X8,X7] :
( ~ relation(relation_dom_restriction(sK9,sK8))
| apply(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X8),X7) = apply(relation_dom_restriction(sK9,sK8),X7)
| ~ in(X7,set_intersection2(relation_dom(relation_dom_restriction(sK9,sK8)),X8)) )
| ~ spl17_27 ),
inference(resolution,[],[f574,f349]) ).
fof(f349,plain,
( function(relation_dom_restriction(sK9,sK8))
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f945,plain,
( spl17_68
| ~ spl17_28
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f940,f923,f352,f942]) ).
fof(f352,plain,
( spl17_28
<=> apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f940,plain,
( apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK14(relation_dom_restriction(sK9,sK8)))
| ~ spl17_28
| ~ spl17_65 ),
inference(backward_demodulation,[],[f354,f925]) ).
fof(f354,plain,
( apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8)))
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f936,plain,
( spl17_67
| ~ spl17_61 ),
inference(avatar_split_clause,[],[f919,f898,f933]) ).
fof(f898,plain,
( spl17_61
<=> in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).
fof(f919,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),relation_dom(sK9))
| ~ spl17_61 ),
inference(resolution,[],[f900,f206]) ).
fof(f900,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(sK9)))
| ~ spl17_61 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f931,plain,
( spl17_66
| ~ spl17_61 ),
inference(avatar_split_clause,[],[f918,f898,f928]) ).
fof(f918,plain,
( in(sK14(relation_dom_restriction(sK9,sK8)),sK8)
| ~ spl17_61 ),
inference(resolution,[],[f900,f207]) ).
fof(f926,plain,
( spl17_65
| ~ spl17_33
| ~ spl17_61 ),
inference(avatar_split_clause,[],[f917,f898,f412,f923]) ).
fof(f917,plain,
( apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(sK9,sK14(relation_dom_restriction(sK9,sK8)))
| ~ spl17_33
| ~ spl17_61 ),
inference(resolution,[],[f900,f413]) ).
fof(f915,plain,
( ~ spl17_26
| ~ spl17_27
| spl17_4
| ~ spl17_64
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f881,f867,f912,f226,f348,f344]) ).
fof(f912,plain,
( spl17_64
<=> in(set_intersection2(sK8,relation_dom(sK9)),sK14(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_64])]) ).
fof(f867,plain,
( spl17_57
<=> set_intersection2(sK8,relation_dom(sK9)) = relation_dom(relation_dom_restriction(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).
fof(f881,plain,
( ~ in(set_intersection2(sK8,relation_dom(sK9)),sK14(relation_dom_restriction(sK9,sK8)))
| one_to_one(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ spl17_57 ),
inference(superposition,[],[f423,f869]) ).
fof(f869,plain,
( set_intersection2(sK8,relation_dom(sK9)) = relation_dom(relation_dom_restriction(sK9,sK8))
| ~ spl17_57 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f423,plain,
! [X1] :
( ~ in(relation_dom(X1),sK14(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(resolution,[],[f195,f186]) ).
fof(f910,plain,
( ~ spl17_27
| ~ spl17_26
| spl17_63
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f879,f867,f908,f344,f348]) ).
fof(f908,plain,
( spl17_63
<=> ! [X2] :
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),X2) = relation_dom_restriction(sK9,sK8)
| set_intersection2(sK8,relation_dom(sK9)) != set_intersection2(set_intersection2(sK8,relation_dom(sK9)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_63])]) ).
fof(f879,plain,
( ! [X2] :
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),X2) = relation_dom_restriction(sK9,sK8)
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| set_intersection2(sK8,relation_dom(sK9)) != set_intersection2(set_intersection2(sK8,relation_dom(sK9)),X2) )
| ~ spl17_57 ),
inference(superposition,[],[f417,f869]) ).
fof(f417,plain,
! [X0,X1] :
( relation_dom(X0) != set_intersection2(relation_dom(X0),X1)
| ~ relation(X0)
| ~ function(X0)
| relation_dom_restriction(X0,X1) = X0 ),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f416,plain,
! [X0,X1] :
( ~ function(X0)
| relation_dom_restriction(X0,X1) = X0
| ~ relation(X0)
| relation_dom(X0) != set_intersection2(relation_dom(X0),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( apply(X1,sK10(X1,X2)) != apply(X2,sK10(X1,X2))
| relation_dom_restriction(X2,X0) = X1
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f906,plain,
( spl17_4
| ~ spl17_26
| spl17_62
| ~ spl17_27
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f876,f867,f348,f903,f344,f226]) ).
fof(f876,plain,
( ~ function(relation_dom_restriction(sK9,sK8))
| in(sK13(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(sK9)))
| ~ relation(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| ~ spl17_57 ),
inference(superposition,[],[f185,f869]) ).
fof(f901,plain,
( spl17_61
| spl17_4
| ~ spl17_26
| ~ spl17_27
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f877,f867,f348,f344,f226,f898]) ).
fof(f877,plain,
( ~ function(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| one_to_one(relation_dom_restriction(sK9,sK8))
| in(sK14(relation_dom_restriction(sK9,sK8)),set_intersection2(sK8,relation_dom(sK9)))
| ~ spl17_57 ),
inference(superposition,[],[f186,f869]) ).
fof(f896,plain,
( ~ spl17_27
| ~ spl17_26
| ~ spl17_60
| spl17_4
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f880,f867,f226,f893,f344,f348]) ).
fof(f893,plain,
( spl17_60
<=> in(set_intersection2(sK8,relation_dom(sK9)),sK13(relation_dom_restriction(sK9,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_60])]) ).
fof(f880,plain,
( one_to_one(relation_dom_restriction(sK9,sK8))
| ~ in(set_intersection2(sK8,relation_dom(sK9)),sK13(relation_dom_restriction(sK9,sK8)))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ spl17_57 ),
inference(superposition,[],[f422,f869]) ).
fof(f422,plain,
! [X0] :
( ~ in(relation_dom(X0),sK13(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(resolution,[],[f195,f185]) ).
fof(f891,plain,
( ~ spl17_27
| ~ spl17_26
| spl17_59
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f873,f867,f889,f344,f348]) ).
fof(f889,plain,
( spl17_59
<=> ! [X0,X1] :
( set_intersection2(sK8,relation_dom(sK9)) != set_intersection2(relation_dom(X0),X1)
| ~ function(X0)
| relation_dom_restriction(X0,X1) = relation_dom_restriction(sK9,sK8)
| in(sK10(relation_dom_restriction(sK9,sK8),X0),set_intersection2(sK8,relation_dom(sK9)))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).
fof(f873,plain,
( ! [X0,X1] :
( set_intersection2(sK8,relation_dom(sK9)) != set_intersection2(relation_dom(X0),X1)
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ relation(X0)
| in(sK10(relation_dom_restriction(sK9,sK8),X0),set_intersection2(sK8,relation_dom(sK9)))
| relation_dom_restriction(X0,X1) = relation_dom_restriction(sK9,sK8)
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ function(X0) )
| ~ spl17_57 ),
inference(superposition,[],[f171,f869]) ).
fof(f171,plain,
! [X2,X0,X1] :
( in(sK10(X1,X2),relation_dom(X1))
| ~ function(X2)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ~ relation(X2)
| ~ relation(X1)
| relation_dom_restriction(X2,X0) = X1
| ~ function(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f887,plain,
( ~ spl17_27
| ~ spl17_26
| spl17_58
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f883,f867,f885,f344,f348]) ).
fof(f885,plain,
( spl17_58
<=> ! [X3] :
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),X3) = relation_dom_restriction(sK9,sK8)
| set_intersection2(sK8,relation_dom(sK9)) != set_intersection2(X3,set_intersection2(sK8,relation_dom(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_58])]) ).
fof(f883,plain,
( ! [X3] :
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),X3) = relation_dom_restriction(sK9,sK8)
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(relation_dom_restriction(sK9,sK8))
| set_intersection2(sK8,relation_dom(sK9)) != set_intersection2(X3,set_intersection2(sK8,relation_dom(sK9))) )
| ~ spl17_57 ),
inference(superposition,[],[f469,f869]) ).
fof(f469,plain,
! [X2,X3] :
( relation_dom(X2) != set_intersection2(X3,relation_dom(X2))
| ~ function(X2)
| relation_dom_restriction(X2,X3) = X2
| ~ relation(X2) ),
inference(superposition,[],[f417,f158]) ).
fof(f870,plain,
( spl17_57
| ~ spl17_51
| ~ spl17_53
| ~ spl17_54 ),
inference(avatar_split_clause,[],[f865,f771,f763,f754,f867]) ).
fof(f754,plain,
( spl17_51
<=> ! [X5] : set_intersection2(relation_dom(relation_dom_restriction(sK9,sK8)),X5) = relation_dom(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).
fof(f771,plain,
( spl17_54
<=> relation_dom_restriction(relation_dom_restriction(sK9,sK8),set_intersection2(sK8,relation_dom(sK9))) = relation_dom_restriction(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).
fof(f865,plain,
( set_intersection2(sK8,relation_dom(sK9)) = relation_dom(relation_dom_restriction(sK9,sK8))
| ~ spl17_51
| ~ spl17_53
| ~ spl17_54 ),
inference(forward_demodulation,[],[f853,f173]) ).
fof(f173,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1] : set_intersection2(X1,X1) = X1,
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f853,plain,
( relation_dom(relation_dom_restriction(sK9,sK8)) = set_intersection2(set_intersection2(sK8,relation_dom(sK9)),set_intersection2(sK8,relation_dom(sK9)))
| ~ spl17_51
| ~ spl17_53
| ~ spl17_54 ),
inference(superposition,[],[f768,f773]) ).
fof(f773,plain,
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),set_intersection2(sK8,relation_dom(sK9))) = relation_dom_restriction(sK9,sK8)
| ~ spl17_54 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f768,plain,
( ! [X5] : set_intersection2(set_intersection2(sK8,relation_dom(sK9)),X5) = relation_dom(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X5))
| ~ spl17_51
| ~ spl17_53 ),
inference(forward_demodulation,[],[f766,f158]) ).
fof(f766,plain,
( ! [X5] : set_intersection2(set_intersection2(relation_dom(sK9),sK8),X5) = relation_dom(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X5))
| ~ spl17_51
| ~ spl17_53 ),
inference(backward_demodulation,[],[f755,f764]) ).
fof(f755,plain,
( ! [X5] : set_intersection2(relation_dom(relation_dom_restriction(sK9,sK8)),X5) = relation_dom(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X5))
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f814,plain,
( spl17_56
| ~ spl17_49 ),
inference(avatar_split_clause,[],[f800,f731,f811]) ).
fof(f811,plain,
( spl17_56
<=> empty_set = relation_dom(sK15(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_56])]) ).
fof(f731,plain,
( spl17_49
<=> empty(sK15(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).
fof(f800,plain,
( empty_set = relation_dom(sK15(powerset(empty_set)))
| ~ spl17_49 ),
inference(resolution,[],[f733,f418]) ).
fof(f418,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f175,f168]) ).
fof(f168,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f175,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ empty(X0)
| ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f733,plain,
( empty(sK15(powerset(empty_set)))
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f809,plain,
( spl17_55
| ~ spl17_49 ),
inference(avatar_split_clause,[],[f804,f731,f806]) ).
fof(f806,plain,
( spl17_55
<=> empty_set = sK15(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_55])]) ).
fof(f804,plain,
( empty_set = sK15(powerset(empty_set))
| ~ spl17_49 ),
inference(resolution,[],[f733,f168]) ).
fof(f774,plain,
( spl17_54
| ~ spl17_48
| ~ spl17_53 ),
inference(avatar_split_clause,[],[f769,f763,f636,f771]) ).
fof(f636,plain,
( spl17_48
<=> relation_dom_restriction(relation_dom_restriction(sK9,sK8),relation_dom(relation_dom_restriction(sK9,sK8))) = relation_dom_restriction(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
fof(f769,plain,
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),set_intersection2(sK8,relation_dom(sK9))) = relation_dom_restriction(sK9,sK8)
| ~ spl17_48
| ~ spl17_53 ),
inference(forward_demodulation,[],[f767,f158]) ).
fof(f767,plain,
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),set_intersection2(relation_dom(sK9),sK8)) = relation_dom_restriction(sK9,sK8)
| ~ spl17_48
| ~ spl17_53 ),
inference(backward_demodulation,[],[f638,f764]) ).
fof(f638,plain,
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),relation_dom(relation_dom_restriction(sK9,sK8))) = relation_dom_restriction(sK9,sK8)
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f765,plain,
( spl17_53
| ~ spl17_18
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f742,f314,f298,f763]) ).
fof(f742,plain,
( ! [X8] :
( ~ relation(sK9)
| relation_dom(relation_dom_restriction(sK9,X8)) = set_intersection2(relation_dom(sK9),X8) )
| ~ spl17_21 ),
inference(resolution,[],[f559,f316]) ).
fof(f559,plain,
! [X2,X3] :
( ~ function(X2)
| set_intersection2(relation_dom(X2),X3) = relation_dom(relation_dom_restriction(X2,X3))
| ~ relation(X2) ),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f553,plain,
! [X2,X3] :
( ~ relation(X2)
| ~ relation(X2)
| set_intersection2(relation_dom(X2),X3) = relation_dom(relation_dom_restriction(X2,X3))
| ~ function(X2) ),
inference(resolution,[],[f358,f198]) ).
fof(f198,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X0)) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X0] :
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f760,plain,
( ~ spl17_6
| spl17_52
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f741,f276,f758,f236]) ).
fof(f758,plain,
( spl17_52
<=> ! [X7] : relation_dom(relation_dom_restriction(sK2,X7)) = set_intersection2(relation_dom(sK2),X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).
fof(f741,plain,
( ! [X7] :
( relation_dom(relation_dom_restriction(sK2,X7)) = set_intersection2(relation_dom(sK2),X7)
| ~ relation(sK2) )
| ~ spl17_14 ),
inference(resolution,[],[f559,f278]) ).
fof(f756,plain,
( spl17_51
| ~ spl17_26
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f739,f348,f344,f754]) ).
fof(f739,plain,
( ! [X5] :
( ~ relation(relation_dom_restriction(sK9,sK8))
| set_intersection2(relation_dom(relation_dom_restriction(sK9,sK8)),X5) = relation_dom(relation_dom_restriction(relation_dom_restriction(sK9,sK8),X5)) )
| ~ spl17_27 ),
inference(resolution,[],[f559,f349]) ).
fof(f750,plain,
( spl17_50
| ~ spl17_17
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f743,f251,f293,f748]) ).
fof(f748,plain,
( spl17_50
<=> ! [X9] : relation_dom(relation_dom_restriction(sK11,X9)) = set_intersection2(relation_dom(sK11),X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).
fof(f743,plain,
( ! [X9] :
( ~ relation(sK11)
| relation_dom(relation_dom_restriction(sK11,X9)) = set_intersection2(relation_dom(sK11),X9) )
| ~ spl17_9 ),
inference(resolution,[],[f559,f253]) ).
fof(f734,plain,
( spl17_49
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f725,f211,f731]) ).
fof(f211,plain,
( spl17_1
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f725,plain,
( empty(sK15(powerset(empty_set)))
| ~ spl17_1 ),
inference(resolution,[],[f720,f439]) ).
fof(f439,plain,
! [X0] :
( in(sK15(X0),X0)
| empty(X0) ),
inference(resolution,[],[f154,f191]) ).
fof(f191,plain,
! [X0] : element(sK15(X0),X0),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] : element(sK15(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f9,f125]) ).
fof(f125,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f9,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f154,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( in(X1,X0)
| ~ element(X1,X0)
| empty(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( element(X1,X0)
=> ( in(X1,X0)
| empty(X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f720,plain,
( ! [X5] : ~ in(X5,sK15(powerset(empty_set)))
| ~ spl17_1 ),
inference(resolution,[],[f459,f191]) ).
fof(f459,plain,
( ! [X3,X4] :
( ~ element(X3,powerset(empty_set))
| ~ in(X4,X3) )
| ~ spl17_1 ),
inference(resolution,[],[f199,f213]) ).
fof(f213,plain,
( empty(empty_set)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ empty(X1)
| ~ element(X0,powerset(X1))
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ in(X2,X0)
| ~ element(X0,powerset(X1))
| ~ empty(X1) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X0))
| ~ empty(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
~ ( empty(X0)
& element(X2,powerset(X0))
& in(X1,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X2,X0,X1] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f639,plain,
( ~ spl17_26
| spl17_48
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f614,f348,f636,f344]) ).
fof(f614,plain,
( relation_dom_restriction(relation_dom_restriction(sK9,sK8),relation_dom(relation_dom_restriction(sK9,sK8))) = relation_dom_restriction(sK9,sK8)
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ spl17_27 ),
inference(resolution,[],[f471,f349]) ).
fof(f471,plain,
! [X1] :
( ~ function(X1)
| relation_dom_restriction(X1,relation_dom(X1)) = X1
| ~ relation(X1) ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f468,plain,
! [X1] :
( relation_dom_restriction(X1,relation_dom(X1)) = X1
| ~ relation(X1)
| relation_dom(X1) != relation_dom(X1)
| ~ function(X1) ),
inference(superposition,[],[f417,f173]) ).
fof(f634,plain,
( spl17_47
| ~ spl17_18
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f617,f314,f298,f631]) ).
fof(f631,plain,
( spl17_47
<=> sK9 = relation_dom_restriction(sK9,relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
fof(f617,plain,
( ~ relation(sK9)
| sK9 = relation_dom_restriction(sK9,relation_dom(sK9))
| ~ spl17_21 ),
inference(resolution,[],[f471,f316]) ).
fof(f629,plain,
( spl17_46
| ~ spl17_17
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f618,f251,f293,f626]) ).
fof(f626,plain,
( spl17_46
<=> relation_dom_restriction(sK11,relation_dom(sK11)) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f618,plain,
( ~ relation(sK11)
| relation_dom_restriction(sK11,relation_dom(sK11)) = sK11
| ~ spl17_9 ),
inference(resolution,[],[f471,f253]) ).
fof(f623,plain,
( spl17_45
| ~ spl17_6
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f616,f276,f236,f620]) ).
fof(f620,plain,
( spl17_45
<=> relation_dom_restriction(sK2,relation_dom(sK2)) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f616,plain,
( ~ relation(sK2)
| relation_dom_restriction(sK2,relation_dom(sK2)) = sK2
| ~ spl17_14 ),
inference(resolution,[],[f471,f278]) ).
fof(f604,plain,
( spl17_44
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f594,f585,f601]) ).
fof(f601,plain,
( spl17_44
<=> empty_set = set_intersection2(sK8,relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f585,plain,
( spl17_42
<=> empty(set_intersection2(sK8,relation_dom(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
fof(f594,plain,
( empty_set = set_intersection2(sK8,relation_dom(sK9))
| ~ spl17_42 ),
inference(resolution,[],[f587,f168]) ).
fof(f587,plain,
( empty(set_intersection2(sK8,relation_dom(sK9)))
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f599,plain,
( spl17_43
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f590,f585,f596]) ).
fof(f596,plain,
( spl17_43
<=> empty_set = relation_dom(set_intersection2(sK8,relation_dom(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
fof(f590,plain,
( empty_set = relation_dom(set_intersection2(sK8,relation_dom(sK9)))
| ~ spl17_42 ),
inference(resolution,[],[f587,f418]) ).
fof(f588,plain,
( spl17_41
| spl17_42
| ~ spl17_33 ),
inference(avatar_split_clause,[],[f576,f412,f585,f581]) ).
fof(f581,plain,
( spl17_41
<=> apply(sK9,sK15(set_intersection2(sK8,relation_dom(sK9)))) = apply(relation_dom_restriction(sK9,sK8),sK15(set_intersection2(sK8,relation_dom(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
fof(f576,plain,
( empty(set_intersection2(sK8,relation_dom(sK9)))
| apply(sK9,sK15(set_intersection2(sK8,relation_dom(sK9)))) = apply(relation_dom_restriction(sK9,sK8),sK15(set_intersection2(sK8,relation_dom(sK9))))
| ~ spl17_33 ),
inference(resolution,[],[f413,f439]) ).
fof(f538,plain,
( ~ spl17_25
| spl17_39
| ~ spl17_3
| spl17_40
| ~ spl17_34 ),
inference(avatar_split_clause,[],[f512,f500,f535,f221,f530,f336]) ).
fof(f336,plain,
( spl17_25
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f530,plain,
( spl17_39
<=> one_to_one(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).
fof(f221,plain,
( spl17_3
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f535,plain,
( spl17_40
<=> in(sK14(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).
fof(f500,plain,
( spl17_34
<=> empty_set = relation_dom(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
fof(f512,plain,
( in(sK14(empty_set),empty_set)
| ~ relation(empty_set)
| one_to_one(empty_set)
| ~ function(empty_set)
| ~ spl17_34 ),
inference(superposition,[],[f186,f502]) ).
fof(f502,plain,
( empty_set = relation_dom(empty_set)
| ~ spl17_34 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f533,plain,
( ~ spl17_3
| spl17_38
| spl17_39
| ~ spl17_25
| ~ spl17_34 ),
inference(avatar_split_clause,[],[f511,f500,f336,f530,f526,f221]) ).
fof(f526,plain,
( spl17_38
<=> in(sK13(empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).
fof(f511,plain,
( ~ function(empty_set)
| one_to_one(empty_set)
| in(sK13(empty_set),empty_set)
| ~ relation(empty_set)
| ~ spl17_34 ),
inference(superposition,[],[f185,f502]) ).
fof(f524,plain,
( ~ spl17_3
| spl17_37
| ~ spl17_25
| ~ spl17_34 ),
inference(avatar_split_clause,[],[f520,f500,f336,f522,f221]) ).
fof(f522,plain,
( spl17_37
<=> ! [X2] : empty_set = relation_dom_restriction(empty_set,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).
fof(f520,plain,
( ! [X2] :
( ~ function(empty_set)
| empty_set = relation_dom_restriction(empty_set,X2)
| ~ relation(empty_set) )
| ~ spl17_34 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f519,plain,
( ! [X2] :
( ~ function(empty_set)
| ~ relation(empty_set)
| empty_set = relation_dom_restriction(empty_set,X2)
| empty_set != empty_set )
| ~ spl17_34 ),
inference(forward_demodulation,[],[f514,f430]) ).
fof(f430,plain,
! [X0] : empty_set = set_intersection2(empty_set,X0),
inference(superposition,[],[f135,f158]) ).
fof(f135,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f514,plain,
( ! [X2] :
( ~ relation(empty_set)
| ~ function(empty_set)
| empty_set = relation_dom_restriction(empty_set,X2)
| empty_set != set_intersection2(empty_set,X2) )
| ~ spl17_34 ),
inference(superposition,[],[f417,f502]) ).
fof(f518,plain,
( ~ spl17_25
| spl17_36
| ~ spl17_3
| ~ spl17_34 ),
inference(avatar_split_clause,[],[f508,f500,f221,f516,f336]) ).
fof(f516,plain,
( spl17_36
<=> ! [X0,X1] :
( ~ function(X0)
| in(sK10(empty_set,X0),empty_set)
| relation_dom_restriction(X0,X1) = empty_set
| empty_set != set_intersection2(relation_dom(X0),X1)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).
fof(f508,plain,
( ! [X0,X1] :
( ~ relation(empty_set)
| ~ function(X0)
| ~ function(empty_set)
| ~ relation(X0)
| empty_set != set_intersection2(relation_dom(X0),X1)
| relation_dom_restriction(X0,X1) = empty_set
| in(sK10(empty_set,X0),empty_set) )
| ~ spl17_34 ),
inference(superposition,[],[f171,f502]) ).
fof(f507,plain,
( spl17_34
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f497,f211,f500]) ).
fof(f497,plain,
( empty_set = relation_dom(empty_set)
| ~ spl17_1 ),
inference(resolution,[],[f418,f213]) ).
fof(f506,plain,
( spl17_34
| spl17_35 ),
inference(avatar_split_clause,[],[f498,f504,f500]) ).
fof(f504,plain,
( spl17_35
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
fof(f498,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(empty_set) ),
inference(forward_subsumption_demodulation,[],[f496,f418]) ).
fof(f496,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(relation_dom(X0)) ),
inference(resolution,[],[f418,f175]) ).
fof(f414,plain,
( ~ spl17_21
| ~ spl17_18
| ~ spl17_26
| spl17_33
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f410,f348,f412,f344,f298,f314]) ).
fof(f410,plain,
( ! [X3] :
( ~ in(X3,set_intersection2(sK8,relation_dom(sK9)))
| ~ relation(relation_dom_restriction(sK9,sK8))
| apply(sK9,X3) = apply(relation_dom_restriction(sK9,sK8),X3)
| ~ relation(sK9)
| ~ function(sK9) )
| ~ spl17_27 ),
inference(forward_demodulation,[],[f409,f158]) ).
fof(f409,plain,
( ! [X3] :
( apply(sK9,X3) = apply(relation_dom_restriction(sK9,sK8),X3)
| ~ in(X3,set_intersection2(relation_dom(sK9),sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(sK9)
| ~ relation(sK9) )
| ~ spl17_27 ),
inference(forward_subsumption_demodulation,[],[f399,f358]) ).
fof(f399,plain,
( ! [X3] :
( ~ relation(sK9)
| apply(sK9,X3) = apply(relation_dom_restriction(sK9,sK8),X3)
| ~ in(X3,relation_dom(relation_dom_restriction(sK9,sK8)))
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ function(sK9) )
| ~ spl17_27 ),
inference(resolution,[],[f208,f349]) ).
fof(f408,plain,
( ~ spl17_3
| spl17_32 ),
inference(avatar_split_clause,[],[f404,f406,f221]) ).
fof(f406,plain,
( spl17_32
<=> ! [X6,X4,X5] :
( apply(empty_set,X4) = apply(X5,X4)
| ~ empty(relation_dom_restriction(X5,X6))
| ~ function(X5)
| ~ in(X4,set_intersection2(relation_dom(X5),X6))
| ~ relation(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f404,plain,
! [X6,X4,X5] :
( apply(empty_set,X4) = apply(X5,X4)
| ~ relation(X5)
| ~ in(X4,set_intersection2(relation_dom(X5),X6))
| ~ function(X5)
| ~ relation(empty_set)
| ~ empty(relation_dom_restriction(X5,X6)) ),
inference(forward_subsumption_demodulation,[],[f403,f168]) ).
fof(f403,plain,
! [X6,X4,X5] :
( ~ function(X5)
| ~ relation(relation_dom_restriction(X5,X6))
| ~ relation(X5)
| ~ in(X4,set_intersection2(relation_dom(X5),X6))
| ~ empty(relation_dom_restriction(X5,X6))
| apply(empty_set,X4) = apply(X5,X4) ),
inference(forward_subsumption_demodulation,[],[f402,f168]) ).
fof(f402,plain,
! [X6,X4,X5] :
( ~ relation(X5)
| apply(relation_dom_restriction(X5,X6),X4) = apply(X5,X4)
| ~ in(X4,set_intersection2(relation_dom(X5),X6))
| ~ empty(relation_dom_restriction(X5,X6))
| ~ relation(relation_dom_restriction(X5,X6))
| ~ function(X5) ),
inference(forward_subsumption_demodulation,[],[f400,f358]) ).
fof(f400,plain,
! [X6,X4,X5] :
( ~ function(X5)
| ~ relation(X5)
| ~ in(X4,relation_dom(relation_dom_restriction(X5,X6)))
| ~ relation(relation_dom_restriction(X5,X6))
| apply(relation_dom_restriction(X5,X6),X4) = apply(X5,X4)
| ~ empty(relation_dom_restriction(X5,X6)) ),
inference(resolution,[],[f208,f155]) ).
fof(f155,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ empty(X0)
| function(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f391,plain,
( spl17_31
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f372,f303,f388]) ).
fof(f388,plain,
( spl17_31
<=> empty_set = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f303,plain,
( spl17_19
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f372,plain,
( empty_set = sK5
| ~ spl17_19 ),
inference(resolution,[],[f168,f305]) ).
fof(f305,plain,
( empty(sK5)
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f386,plain,
( spl17_30
| ~ spl17_11 ),
inference(avatar_split_clause,[],[f374,f261,f383]) ).
fof(f383,plain,
( spl17_30
<=> empty_set = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f261,plain,
( spl17_11
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f374,plain,
( empty_set = sK7
| ~ spl17_11 ),
inference(resolution,[],[f168,f263]) ).
fof(f263,plain,
( empty(sK7)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f379,plain,
( spl17_29
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f371,f266,f376]) ).
fof(f376,plain,
( spl17_29
<=> empty_set = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f266,plain,
( spl17_12
<=> empty(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f371,plain,
( empty_set = sK0
| ~ spl17_12 ),
inference(resolution,[],[f168,f268]) ).
fof(f268,plain,
( empty(sK0)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f368,plain,
( ~ spl17_21
| ~ spl17_18
| spl17_27 ),
inference(avatar_split_clause,[],[f366,f348,f298,f314]) ).
fof(f366,plain,
( ~ relation(sK9)
| ~ function(sK9)
| spl17_27 ),
inference(resolution,[],[f350,f151]) ).
fof(f350,plain,
( ~ function(relation_dom_restriction(sK9,sK8))
| spl17_27 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f365,plain,
( ~ spl17_18
| spl17_26 ),
inference(avatar_split_clause,[],[f362,f344,f298]) ).
fof(f362,plain,
( ~ relation(sK9)
| spl17_26 ),
inference(resolution,[],[f346,f198]) ).
fof(f346,plain,
( ~ relation(relation_dom_restriction(sK9,sK8))
| spl17_26 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f364,plain,
( ~ spl17_18
| ~ spl17_21
| spl17_26 ),
inference(avatar_split_clause,[],[f361,f344,f314,f298]) ).
fof(f361,plain,
( ~ function(sK9)
| ~ relation(sK9)
| spl17_26 ),
inference(resolution,[],[f346,f152]) ).
fof(f355,plain,
( ~ spl17_26
| ~ spl17_27
| spl17_28
| spl17_4 ),
inference(avatar_split_clause,[],[f342,f226,f352,f348,f344]) ).
fof(f342,plain,
( apply(relation_dom_restriction(sK9,sK8),sK14(relation_dom_restriction(sK9,sK8))) = apply(relation_dom_restriction(sK9,sK8),sK13(relation_dom_restriction(sK9,sK8)))
| ~ function(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| spl17_4 ),
inference(resolution,[],[f187,f228]) ).
fof(f228,plain,
( ~ one_to_one(relation_dom_restriction(sK9,sK8))
| spl17_4 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f187,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| apply(X0,sK14(X0)) = apply(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f341,plain,
( ~ spl17_1
| spl17_25 ),
inference(avatar_split_clause,[],[f340,f336,f211]) ).
fof(f340,plain,
( ~ empty(empty_set)
| spl17_25 ),
inference(resolution,[],[f338,f155]) ).
fof(f338,plain,
( ~ function(empty_set)
| spl17_25 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
( ~ spl17_24
| ~ spl17_3
| ~ spl17_25
| spl17_4 ),
inference(avatar_split_clause,[],[f330,f226,f336,f221,f332]) ).
fof(f332,plain,
( spl17_24
<=> empty(relation_dom_restriction(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f330,plain,
( ~ function(empty_set)
| ~ relation(empty_set)
| ~ empty(relation_dom_restriction(sK9,sK8))
| spl17_4 ),
inference(forward_subsumption_demodulation,[],[f329,f168]) ).
fof(f329,plain,
( ~ function(empty_set)
| ~ relation(relation_dom_restriction(sK9,sK8))
| ~ empty(relation_dom_restriction(sK9,sK8))
| spl17_4 ),
inference(forward_subsumption_demodulation,[],[f328,f168]) ).
fof(f328,plain,
( ~ function(relation_dom_restriction(sK9,sK8))
| ~ empty(relation_dom_restriction(sK9,sK8))
| ~ relation(relation_dom_restriction(sK9,sK8))
| spl17_4 ),
inference(resolution,[],[f202,f228]) ).
fof(f202,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ empty(X0)
| ~ function(X0)
| ~ relation(X0)
| ( function(X0)
& relation(X0)
& one_to_one(X0) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( function(X0)
& relation(X0)
& one_to_one(X0) )
| ~ relation(X0)
| ~ empty(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& empty(X0)
& function(X0) )
=> ( function(X0)
& relation(X0)
& one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(f327,plain,
spl17_23,
inference(avatar_split_clause,[],[f147,f324]) ).
fof(f324,plain,
( spl17_23
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f147,plain,
relation(sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( relation(sK4)
& ~ empty(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f97]) ).
fof(f97,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK4)
& ~ empty(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f322,plain,
~ spl17_22,
inference(avatar_split_clause,[],[f134,f319]) ).
fof(f319,plain,
( spl17_22
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f134,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
~ empty(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f88]) ).
fof(f88,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK1) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f317,plain,
spl17_21,
inference(avatar_split_clause,[],[f163,f314]) ).
fof(f163,plain,
function(sK9),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ one_to_one(relation_dom_restriction(sK9,sK8))
& one_to_one(sK9)
& relation(sK9)
& function(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f79,f107]) ).
fof(f107,plain,
( ? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& relation(X1)
& function(X1) )
=> ( ~ one_to_one(relation_dom_restriction(sK9,sK8))
& one_to_one(sK9)
& relation(sK9)
& function(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X1,X0] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_1) ).
fof(f312,plain,
spl17_20,
inference(avatar_split_clause,[],[f178,f309]) ).
fof(f309,plain,
( spl17_20
<=> one_to_one(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f178,plain,
one_to_one(sK11),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( relation(sK11)
& function(sK11)
& one_to_one(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f28,f116]) ).
fof(f116,plain,
( ? [X0] :
( relation(X0)
& function(X0)
& one_to_one(X0) )
=> ( relation(sK11)
& function(sK11)
& one_to_one(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( relation(X0)
& function(X0)
& one_to_one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f307,plain,
spl17_1,
inference(avatar_split_clause,[],[f189,f211]) ).
fof(f189,plain,
empty(empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f306,plain,
spl17_19,
inference(avatar_split_clause,[],[f150,f303]) ).
fof(f150,plain,
empty(sK5),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( empty(sK5)
& relation(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f21,f99]) ).
fof(f99,plain,
( ? [X0] :
( empty(X0)
& relation(X0) )
=> ( empty(sK5)
& relation(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f21,axiom,
? [X0] :
( empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f301,plain,
spl17_18,
inference(avatar_split_clause,[],[f164,f298]) ).
fof(f164,plain,
relation(sK9),
inference(cnf_transformation,[],[f108]) ).
fof(f296,plain,
spl17_17,
inference(avatar_split_clause,[],[f180,f293]) ).
fof(f180,plain,
relation(sK11),
inference(cnf_transformation,[],[f117]) ).
fof(f291,plain,
spl17_3,
inference(avatar_split_clause,[],[f190,f221]) ).
fof(f190,plain,
relation(empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f290,plain,
spl17_16,
inference(avatar_split_clause,[],[f194,f287]) ).
fof(f287,plain,
( spl17_16
<=> relation_empty_yielding(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f194,plain,
relation_empty_yielding(empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( relation_empty_yielding(empty_set)
& empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f285,plain,
spl17_1,
inference(avatar_split_clause,[],[f193,f211]) ).
fof(f193,plain,
empty(empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f284,plain,
spl17_15,
inference(avatar_split_clause,[],[f132,f281]) ).
fof(f281,plain,
( spl17_15
<=> function(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f132,plain,
function(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( empty(sK0)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f86]) ).
fof(f86,plain,
( ? [X0] :
( empty(X0)
& function(X0)
& relation(X0) )
=> ( empty(sK0)
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( empty(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f279,plain,
spl17_14,
inference(avatar_split_clause,[],[f139,f276]) ).
fof(f139,plain,
function(sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f20,f90]) ).
fof(f90,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f274,plain,
spl17_13,
inference(avatar_split_clause,[],[f201,f271]) ).
fof(f271,plain,
( spl17_13
<=> relation_empty_yielding(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f201,plain,
relation_empty_yielding(sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( relation_empty_yielding(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f29,f129]) ).
fof(f129,plain,
( ? [X0] :
( relation_empty_yielding(X0)
& relation(X0) )
=> ( relation_empty_yielding(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f269,plain,
spl17_12,
inference(avatar_split_clause,[],[f133,f266]) ).
fof(f133,plain,
empty(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f264,plain,
spl17_11,
inference(avatar_split_clause,[],[f160,f261]) ).
fof(f160,plain,
empty(sK7),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
empty(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f23,f104]) ).
fof(f104,plain,
( ? [X0] : empty(X0)
=> empty(sK7) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f259,plain,
spl17_10,
inference(avatar_split_clause,[],[f131,f256]) ).
fof(f256,plain,
( spl17_10
<=> relation(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f131,plain,
relation(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f254,plain,
spl17_9,
inference(avatar_split_clause,[],[f179,f251]) ).
fof(f179,plain,
function(sK11),
inference(cnf_transformation,[],[f117]) ).
fof(f249,plain,
spl17_8,
inference(avatar_split_clause,[],[f200,f246]) ).
fof(f246,plain,
( spl17_8
<=> relation(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f200,plain,
relation(sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f244,plain,
~ spl17_7,
inference(avatar_split_clause,[],[f146,f241]) ).
fof(f241,plain,
( spl17_7
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f146,plain,
~ empty(sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f239,plain,
spl17_6,
inference(avatar_split_clause,[],[f138,f236]) ).
fof(f138,plain,
relation(sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f234,plain,
spl17_5,
inference(avatar_split_clause,[],[f149,f231]) ).
fof(f231,plain,
( spl17_5
<=> relation(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f149,plain,
relation(sK5),
inference(cnf_transformation,[],[f100]) ).
fof(f229,plain,
~ spl17_4,
inference(avatar_split_clause,[],[f166,f226]) ).
fof(f166,plain,
~ one_to_one(relation_dom_restriction(sK9,sK8)),
inference(cnf_transformation,[],[f108]) ).
fof(f224,plain,
spl17_3,
inference(avatar_split_clause,[],[f192,f221]) ).
fof(f192,plain,
relation(empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f219,plain,
spl17_2,
inference(avatar_split_clause,[],[f165,f216]) ).
fof(f165,plain,
one_to_one(sK9),
inference(cnf_transformation,[],[f108]) ).
fof(f214,plain,
spl17_1,
inference(avatar_split_clause,[],[f197,f211]) ).
fof(f197,plain,
empty(empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU042+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:40:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (25824)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (25840)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51 % (25822)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.52 % (25832)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.52 % (25835)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.33/0.52 % (25827)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.33/0.52 % (25813)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.33/0.52 % (25814)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.52 % (25817)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.52 % (25839)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.33/0.53 TRYING [1]
% 1.33/0.53 % (25816)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53 TRYING [2]
% 1.33/0.53 % (25820)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.53 % (25818)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.33/0.53 % (25821)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.53 % (25820)Instruction limit reached!
% 1.33/0.53 % (25820)------------------------------
% 1.33/0.53 % (25820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (25820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (25820)Termination reason: Unknown
% 1.33/0.53 % (25820)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (25820)Memory used [KB]: 5500
% 1.33/0.53 % (25820)Time elapsed: 0.138 s
% 1.33/0.53 % (25820)Instructions burned: 7 (million)
% 1.33/0.53 % (25820)------------------------------
% 1.33/0.53 % (25820)------------------------------
% 1.33/0.53 % (25821)Instruction limit reached!
% 1.33/0.53 % (25821)------------------------------
% 1.33/0.53 % (25821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (25821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (25821)Termination reason: Unknown
% 1.33/0.53 % (25821)Termination phase: Blocked clause elimination
% 1.33/0.53
% 1.33/0.53 % (25821)Memory used [KB]: 1023
% 1.33/0.53 % (25821)Time elapsed: 0.003 s
% 1.33/0.53 % (25821)Instructions burned: 4 (million)
% 1.33/0.53 % (25821)------------------------------
% 1.33/0.53 % (25821)------------------------------
% 1.33/0.53 % (25841)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.53 % (25815)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.50/0.53 % (25836)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.50/0.54 % (25838)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.54 % (25833)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.54 % (25831)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.54 % (25837)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.54 % (25828)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.50/0.54 % (25829)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.54 % (25834)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.54 % (25825)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.50/0.54 % (25830)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.54 % (25823)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.54 % (25819)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.55 % (25814)Refutation not found, incomplete strategy% (25814)------------------------------
% 1.50/0.55 % (25814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (25814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (25814)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55
% 1.50/0.55 % (25814)Memory used [KB]: 5628
% 1.50/0.55 % (25814)Time elapsed: 0.131 s
% 1.50/0.55 % (25814)Instructions burned: 7 (million)
% 1.50/0.55 % (25814)------------------------------
% 1.50/0.55 % (25814)------------------------------
% 1.50/0.55 TRYING [1]
% 1.50/0.55 TRYING [2]
% 1.50/0.55 TRYING [1]
% 1.50/0.55 TRYING [2]
% 1.50/0.55 % (25842)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.50/0.55 TRYING [3]
% 1.50/0.55 TRYING [3]
% 1.50/0.55 TRYING [3]
% 1.50/0.55 % (25826)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.58 TRYING [4]
% 1.50/0.58 TRYING [4]
% 1.50/0.59 % (25815)Instruction limit reached!
% 1.50/0.59 % (25815)------------------------------
% 1.50/0.59 % (25815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60 TRYING [4]
% 1.50/0.61 % (25815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (25815)Termination reason: Unknown
% 1.50/0.61 % (25815)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (25815)Memory used [KB]: 1407
% 1.50/0.61 % (25815)Time elapsed: 0.203 s
% 1.50/0.61 % (25815)Instructions burned: 38 (million)
% 1.50/0.61 % (25815)------------------------------
% 1.50/0.61 % (25815)------------------------------
% 1.50/0.61 % (25816)Instruction limit reached!
% 1.50/0.61 % (25816)------------------------------
% 1.50/0.61 % (25816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (25816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (25816)Termination reason: Unknown
% 1.50/0.61 % (25816)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (25816)Memory used [KB]: 6012
% 1.50/0.61 % (25816)Time elapsed: 0.208 s
% 1.50/0.61 % (25816)Instructions burned: 51 (million)
% 1.50/0.61 % (25816)------------------------------
% 1.50/0.61 % (25816)------------------------------
% 1.50/0.61 % (25819)Instruction limit reached!
% 1.50/0.61 % (25819)------------------------------
% 1.50/0.61 % (25819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (25819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (25819)Termination reason: Unknown
% 1.50/0.61 % (25819)Termination phase: Finite model building constraint generation
% 1.50/0.61
% 1.50/0.61 % (25819)Memory used [KB]: 7419
% 1.50/0.61 % (25819)Time elapsed: 0.178 s
% 1.50/0.61 % (25819)Instructions burned: 52 (million)
% 1.50/0.61 % (25819)------------------------------
% 1.50/0.61 % (25819)------------------------------
% 1.50/0.61 % (25817)Instruction limit reached!
% 1.50/0.61 % (25817)------------------------------
% 1.50/0.61 % (25817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (25817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (25817)Termination reason: Unknown
% 1.50/0.61 % (25817)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (25817)Memory used [KB]: 6524
% 1.50/0.61 % (25817)Time elapsed: 0.201 s
% 1.50/0.61 % (25817)Instructions burned: 53 (million)
% 1.50/0.61 % (25817)------------------------------
% 1.50/0.61 % (25817)------------------------------
% 1.50/0.61 % (25822)Instruction limit reached!
% 1.50/0.61 % (25822)------------------------------
% 1.50/0.61 % (25822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (25822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (25822)Termination reason: Unknown
% 1.50/0.61 % (25822)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (25822)Memory used [KB]: 1918
% 1.50/0.61 % (25822)Time elapsed: 0.220 s
% 1.50/0.61 % (25822)Instructions burned: 51 (million)
% 1.50/0.61 % (25822)------------------------------
% 1.50/0.61 % (25822)------------------------------
% 1.50/0.61 % (25818)Instruction limit reached!
% 1.50/0.61 % (25818)------------------------------
% 1.50/0.61 % (25818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (25818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (25818)Termination reason: Unknown
% 1.50/0.61 % (25818)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (25818)Memory used [KB]: 6012
% 1.50/0.61 % (25818)Time elapsed: 0.218 s
% 1.50/0.61 % (25818)Instructions burned: 48 (million)
% 1.50/0.61 % (25818)------------------------------
% 1.50/0.61 % (25818)------------------------------
% 1.50/0.62 % (25830)Instruction limit reached!
% 1.50/0.62 % (25830)------------------------------
% 1.50/0.62 % (25830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (25830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (25830)Termination reason: Unknown
% 1.50/0.62 % (25830)Termination phase: Finite model building SAT solving
% 1.50/0.62
% 1.50/0.62 % (25830)Memory used [KB]: 7931
% 1.50/0.62 % (25830)Time elapsed: 0.218 s
% 1.50/0.62 % (25830)Instructions burned: 59 (million)
% 1.50/0.62 % (25830)------------------------------
% 1.50/0.62 % (25830)------------------------------
% 1.50/0.63 % (25823)Instruction limit reached!
% 1.50/0.63 % (25823)------------------------------
% 1.50/0.63 % (25823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.63 % (25823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.63 % (25823)Termination reason: Unknown
% 1.50/0.63 % (25823)Termination phase: Saturation
% 1.50/0.63
% 1.50/0.63 % (25823)Memory used [KB]: 6268
% 1.50/0.63 % (25823)Time elapsed: 0.224 s
% 1.50/0.63 % (25823)Instructions burned: 52 (million)
% 1.50/0.63 % (25823)------------------------------
% 1.50/0.63 % (25823)------------------------------
% 2.17/0.65 % (25824)Instruction limit reached!
% 2.17/0.65 % (25824)------------------------------
% 2.17/0.65 % (25824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (25824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (25824)Termination reason: Unknown
% 2.17/0.65 % (25824)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (25824)Memory used [KB]: 6396
% 2.17/0.65 % (25824)Time elapsed: 0.221 s
% 2.17/0.65 % (25824)Instructions burned: 100 (million)
% 2.17/0.65 % (25824)------------------------------
% 2.17/0.65 % (25824)------------------------------
% 2.17/0.65 % (25827)Instruction limit reached!
% 2.17/0.65 % (25827)------------------------------
% 2.17/0.65 % (25827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (25827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (25827)Termination reason: Unknown
% 2.17/0.65 % (25827)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (25827)Memory used [KB]: 6652
% 2.17/0.65 % (25827)Time elapsed: 0.041 s
% 2.17/0.65 % (25827)Instructions burned: 69 (million)
% 2.17/0.65 % (25827)------------------------------
% 2.17/0.65 % (25827)------------------------------
% 2.17/0.66 % (25839)Instruction limit reached!
% 2.17/0.66 % (25839)------------------------------
% 2.17/0.66 % (25839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66 % (25839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (25839)Termination reason: Unknown
% 2.17/0.66 % (25839)Termination phase: Saturation
% 2.17/0.66
% 2.17/0.66 % (25839)Memory used [KB]: 6652
% 2.17/0.66 % (25839)Time elapsed: 0.038 s
% 2.17/0.66 % (25839)Instructions burned: 69 (million)
% 2.17/0.66 % (25839)------------------------------
% 2.17/0.66 % (25839)------------------------------
% 2.17/0.66 % (25843)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.17/0.67 % (25828)Instruction limit reached!
% 2.17/0.67 % (25828)------------------------------
% 2.17/0.67 % (25828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (25828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67 % (25828)Termination reason: Unknown
% 2.17/0.67 % (25828)Termination phase: Saturation
% 2.17/0.67
% 2.17/0.67 % (25828)Memory used [KB]: 1918
% 2.17/0.67 % (25828)Time elapsed: 0.281 s
% 2.17/0.67 % (25828)Instructions burned: 75 (million)
% 2.17/0.67 % (25828)------------------------------
% 2.17/0.67 % (25828)------------------------------
% 2.17/0.67 TRYING [5]
% 2.17/0.68 % (25845)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.17/0.68 % (25844)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.17/0.69 % (25832)Instruction limit reached!
% 2.17/0.69 % (25832)------------------------------
% 2.17/0.69 % (25832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.69 % (25832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.69 % (25832)Termination reason: Unknown
% 2.17/0.69 % (25832)Termination phase: Saturation
% 2.17/0.69
% 2.17/0.69 % (25832)Memory used [KB]: 1918
% 2.17/0.69 % (25832)Time elapsed: 0.268 s
% 2.17/0.69 % (25832)Instructions burned: 102 (million)
% 2.17/0.69 % (25832)------------------------------
% 2.17/0.69 % (25832)------------------------------
% 2.50/0.71 % (25825)Instruction limit reached!
% 2.50/0.71 % (25825)------------------------------
% 2.50/0.71 % (25825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.71 % (25825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.71 % (25825)Termination reason: Unknown
% 2.50/0.71 % (25825)Termination phase: Saturation
% 2.50/0.71
% 2.50/0.71 % (25825)Memory used [KB]: 6652
% 2.50/0.71 % (25825)Time elapsed: 0.324 s
% 2.50/0.71 % (25825)Instructions burned: 101 (million)
% 2.50/0.71 % (25825)------------------------------
% 2.50/0.71 % (25825)------------------------------
% 2.50/0.72 % (25831)Instruction limit reached!
% 2.50/0.72 % (25831)------------------------------
% 2.50/0.72 % (25831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.72 % (25831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.72 % (25831)Termination reason: Unknown
% 2.50/0.72 % (25831)Termination phase: Saturation
% 2.50/0.72
% 2.50/0.72 % (25831)Memory used [KB]: 6780
% 2.50/0.72 % (25831)Time elapsed: 0.332 s
% 2.50/0.72 % (25831)Instructions burned: 100 (million)
% 2.50/0.72 % (25831)------------------------------
% 2.50/0.72 % (25831)------------------------------
% 2.50/0.72 % (25829)Instruction limit reached!
% 2.50/0.72 % (25829)------------------------------
% 2.50/0.72 % (25829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.72 % (25829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.72 % (25829)Termination reason: Unknown
% 2.50/0.72 % (25829)Termination phase: Saturation
% 2.50/0.72
% 2.50/0.72 % (25829)Memory used [KB]: 6396
% 2.50/0.72 % (25829)Time elapsed: 0.331 s
% 2.50/0.72 % (25829)Instructions burned: 100 (million)
% 2.50/0.72 % (25829)------------------------------
% 2.50/0.72 % (25829)------------------------------
% 2.50/0.73 % (25851)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.50/0.74 % (25849)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.50/0.74 % (25848)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.50/0.74 % (25847)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.50/0.74 % (25850)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.50/0.74 % (25846)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.50/0.75 % (25826)Instruction limit reached!
% 2.50/0.75 % (25826)------------------------------
% 2.50/0.75 % (25826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.75 % (25826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.75 % (25826)Termination reason: Unknown
% 2.50/0.75 % (25826)Termination phase: Saturation
% 2.50/0.75
% 2.50/0.75 % (25826)Memory used [KB]: 6908
% 2.50/0.75 % (25826)Time elapsed: 0.338 s
% 2.50/0.75 % (25826)Instructions burned: 99 (million)
% 2.50/0.75 % (25826)------------------------------
% 2.50/0.75 % (25826)------------------------------
% 2.50/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.50/0.75 % (25852)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.50/0.75 % (25853)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.77/0.78 % (25834)Instruction limit reached!
% 2.77/0.78 % (25834)------------------------------
% 2.77/0.78 % (25834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.78 % (25834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.78 % (25834)Termination reason: Unknown
% 2.77/0.78 % (25834)Termination phase: Saturation
% 2.77/0.78
% 2.77/0.78 % (25834)Memory used [KB]: 7419
% 2.77/0.78 % (25834)Time elapsed: 0.386 s
% 2.77/0.78 % (25834)Instructions burned: 139 (million)
% 2.77/0.78 % (25834)------------------------------
% 2.77/0.78 % (25834)------------------------------
% 2.77/0.79 % (25855)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.77/0.79 % (25854)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.77/0.79 % (25856)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.80/0.81 % (25840)Instruction limit reached!
% 2.80/0.81 % (25840)------------------------------
% 2.80/0.81 % (25840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.81 % (25840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.81 % (25840)Termination reason: Unknown
% 2.80/0.81 % (25840)Termination phase: Saturation
% 2.80/0.81
% 2.80/0.81 % (25840)Memory used [KB]: 2686
% 2.80/0.81 % (25840)Time elapsed: 0.383 s
% 2.80/0.81 % (25840)Instructions burned: 178 (million)
% 2.80/0.81 % (25840)------------------------------
% 2.80/0.81 % (25840)------------------------------
% 2.80/0.82 % (25857)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.80/0.83 % (25858)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.90/0.84 % (25845)Instruction limit reached!
% 2.90/0.84 % (25845)------------------------------
% 2.90/0.84 % (25845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.84 % (25845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.84 % (25845)Termination reason: Unknown
% 2.90/0.84 % (25845)Termination phase: Saturation
% 2.90/0.84
% 2.90/0.84 % (25845)Memory used [KB]: 6268
% 2.90/0.84 % (25845)Time elapsed: 0.274 s
% 2.90/0.84 % (25845)Instructions burned: 92 (million)
% 2.90/0.84 % (25845)------------------------------
% 2.90/0.84 % (25845)------------------------------
% 2.90/0.84 % (25833)Instruction limit reached!
% 2.90/0.84 % (25833)------------------------------
% 2.90/0.84 % (25833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.84 % (25833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.84 % (25833)Termination reason: Unknown
% 2.90/0.84 % (25833)Termination phase: Saturation
% 2.90/0.84
% 2.90/0.84 % (25833)Memory used [KB]: 7803
% 2.90/0.84 % (25833)Time elapsed: 0.454 s
% 2.90/0.84 % (25833)Instructions burned: 177 (million)
% 2.90/0.84 % (25833)------------------------------
% 2.90/0.84 % (25833)------------------------------
% 2.90/0.86 % (25861)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.90/0.86 % (25859)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.90/0.86 % (25860)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.90/0.88 % (25850)Instruction limit reached!
% 2.90/0.88 % (25850)------------------------------
% 2.90/0.88 % (25850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.88 % (25850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.88 % (25850)Termination reason: Unknown
% 2.90/0.88 % (25850)Termination phase: Saturation
% 2.90/0.88
% 2.90/0.88 % (25850)Memory used [KB]: 6524
% 2.90/0.88 % (25850)Time elapsed: 0.035 s
% 2.90/0.88 % (25850)Instructions burned: 68 (million)
% 2.90/0.88 % (25850)------------------------------
% 2.90/0.88 % (25850)------------------------------
% 2.90/0.88 % (25862)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 2.90/0.89 % (25853)Instruction limit reached!
% 2.90/0.89 % (25853)------------------------------
% 2.90/0.89 % (25853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.89 % (25853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.89 % (25853)Termination reason: Unknown
% 2.90/0.89 % (25853)Termination phase: Saturation
% 2.90/0.89
% 2.90/0.89 % (25853)Memory used [KB]: 6780
% 2.90/0.89 % (25853)Time elapsed: 0.245 s
% 2.90/0.89 % (25853)Instructions burned: 90 (million)
% 2.90/0.89 % (25853)------------------------------
% 2.90/0.89 % (25853)------------------------------
% 2.90/0.92 % (25863)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.31/0.94 TRYING [6]
% 3.31/0.94 % (25864)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.31/0.97 % (25860)Instruction limit reached!
% 3.31/0.97 % (25860)------------------------------
% 3.31/0.97 % (25860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.97 % (25860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.97 % (25860)Termination reason: Unknown
% 3.31/0.97 % (25860)Termination phase: Saturation
% 3.31/0.97
% 3.31/0.97 % (25860)Memory used [KB]: 6524
% 3.31/0.97 % (25860)Time elapsed: 0.034 s
% 3.31/0.97 % (25860)Instructions burned: 69 (million)
% 3.31/0.97 % (25860)------------------------------
% 3.31/0.97 % (25860)------------------------------
% 3.31/0.98 % (25865)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.31/0.98 % (25866)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.47/1.00 % (25844)Instruction limit reached!
% 3.47/1.00 % (25844)------------------------------
% 3.47/1.00 % (25844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/1.00 % (25844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/1.00 % (25844)Termination reason: Unknown
% 3.47/1.00 % (25844)Termination phase: Saturation
% 3.47/1.00
% 3.47/1.00 % (25844)Memory used [KB]: 3582
% 3.47/1.00 % (25844)Time elapsed: 0.394 s
% 3.47/1.00 % (25844)Instructions burned: 211 (million)
% 3.47/1.00 % (25844)------------------------------
% 3.47/1.00 % (25844)------------------------------
% 3.47/1.01 % (25867)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.47/1.03 % (25868)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.76/1.10 % (25869)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.04/1.14 % (25870)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 6.27/1.15 % (25865)Instruction limit reached!
% 6.27/1.15 % (25865)------------------------------
% 6.27/1.15 % (25865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.15 % (25865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.15 % (25865)Termination reason: Unknown
% 6.27/1.15 % (25865)Termination phase: Saturation
% 6.27/1.15
% 6.27/1.15 % (25865)Memory used [KB]: 6780
% 6.27/1.15 % (25865)Time elapsed: 0.273 s
% 6.27/1.15 % (25865)Instructions burned: 90 (million)
% 6.27/1.15 % (25865)------------------------------
% 6.27/1.15 % (25865)------------------------------
% 6.27/1.18 % (25842)Instruction limit reached!
% 6.27/1.18 % (25842)------------------------------
% 6.27/1.18 % (25842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.18 % (25842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.18 % (25842)Termination reason: Unknown
% 6.27/1.18 % (25842)Termination phase: Saturation
% 6.27/1.18
% 6.27/1.18 % (25842)Memory used [KB]: 8955
% 6.27/1.18 % (25842)Time elapsed: 0.768 s
% 6.27/1.18 % (25842)Instructions burned: 356 (million)
% 6.27/1.18 % (25842)------------------------------
% 6.27/1.18 % (25842)------------------------------
% 6.27/1.21 % (25856)First to succeed.
% 6.27/1.21 % (25856)Refutation found. Thanks to Tanya!
% 6.27/1.21 % SZS status Theorem for theBenchmark
% 6.27/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 6.27/1.22 % (25856)------------------------------
% 6.27/1.22 % (25856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.22 % (25856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.22 % (25856)Termination reason: Refutation
% 6.27/1.22
% 6.27/1.22 % (25856)Memory used [KB]: 1918
% 6.27/1.22 % (25856)Time elapsed: 0.508 s
% 6.27/1.22 % (25856)Instructions burned: 285 (million)
% 6.27/1.22 % (25856)------------------------------
% 6.27/1.22 % (25856)------------------------------
% 6.27/1.22 % (25812)Success in time 0.869 s
%------------------------------------------------------------------------------