TSTP Solution File: SEU299+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 May 1 03:51:39 EDT 2024
% Result : Theorem 0.37s 0.61s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 248 ( 2 unt; 0 def)
% Number of atoms : 1515 ( 301 equ)
% Maximal formula atoms : 34 ( 6 avg)
% Number of connectives : 2021 ( 754 ~; 907 |; 279 &)
% ( 31 <=>; 47 =>; 0 <=; 3 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 23 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 561 ( 439 !; 122 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1432,plain,
$false,
inference(avatar_sat_refutation,[],[f327,f354,f364,f453,f458,f467,f499,f588,f592,f598,f684,f726,f787,f804,f864,f1101,f1110,f1179,f1183,f1200,f1203,f1215,f1324,f1428,f1431]) ).
fof(f1431,plain,
( spl41_24
| ~ spl41_23
| spl41_107 ),
inference(avatar_split_clause,[],[f1430,f1425,f508,f512]) ).
fof(f512,plain,
( spl41_24
<=> ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f508,plain,
( spl41_23
<=> ordinal(sK9(sK10(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f1425,plain,
( spl41_107
<=> element(sK4(sK9(sK10(sK8))),powerset(powerset(sK9(sK10(sK8))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f1430,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_23
| spl41_107 ),
inference(subsumption_resolution,[],[f1429,f509]) ).
fof(f509,plain,
( ordinal(sK9(sK10(sK8)))
| ~ spl41_23 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f1429,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| spl41_107 ),
inference(resolution,[],[f1427,f306]) ).
fof(f306,plain,
! [X2,X1] :
( element(sK4(X2),powerset(powerset(X2)))
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| element(sK4(X2),powerset(powerset(X2)))
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ( ! [X4] :
( ( sK5(X2,X4) != X4
& subset(X4,sK5(X2,X4))
& in(sK5(X2,X4),sK4(X2)) )
| ~ in(X4,sK4(X2)) )
& empty_set != sK4(X2)
& element(sK4(X2),powerset(powerset(X2)))
& in(X2,omega) )
| X0 != X2
| ~ ordinal(X2) )
| ~ in(X0,succ(X1)) )
& ( ( ( ! [X7] :
( ( ! [X9] :
( sK7(X7) = X9
| ~ subset(sK7(X7),X9)
| ~ in(X9,X7) )
& in(sK7(X7),X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(sK6(X0)))) )
| ~ in(sK6(X0),omega) )
& sK6(X0) = X0
& ordinal(sK6(X0))
& in(X0,succ(X1)) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f92,f96,f95,f94,f93]) ).
fof(f93,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& subset(X4,X5)
& in(X5,X3) )
| ~ in(X4,X3) )
& empty_set != X3
& element(X3,powerset(powerset(X2))) )
=> ( ! [X4] :
( ? [X5] :
( X4 != X5
& subset(X4,X5)
& in(X5,sK4(X2)) )
| ~ in(X4,sK4(X2)) )
& empty_set != sK4(X2)
& element(sK4(X2),powerset(powerset(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X2,X4] :
( ? [X5] :
( X4 != X5
& subset(X4,X5)
& in(X5,sK4(X2)) )
=> ( sK5(X2,X4) != X4
& subset(X4,sK5(X2,X4))
& in(sK5(X2,X4),sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ? [X6] :
( ( ! [X7] :
( ? [X8] :
( ! [X9] :
( X8 = X9
| ~ subset(X8,X9)
| ~ in(X9,X7) )
& in(X8,X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(X6))) )
| ~ in(X6,omega) )
& X0 = X6
& ordinal(X6) )
=> ( ( ! [X7] :
( ? [X8] :
( ! [X9] :
( X8 = X9
| ~ subset(X8,X9)
| ~ in(X9,X7) )
& in(X8,X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(sK6(X0)))) )
| ~ in(sK6(X0),omega) )
& sK6(X0) = X0
& ordinal(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X7] :
( ? [X8] :
( ! [X9] :
( X8 = X9
| ~ subset(X8,X9)
| ~ in(X9,X7) )
& in(X8,X7) )
=> ( ! [X9] :
( sK7(X7) = X9
| ~ subset(sK7(X7),X9)
| ~ in(X9,X7) )
& in(sK7(X7),X7) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ( ? [X3] :
( ! [X4] :
( ? [X5] :
( X4 != X5
& subset(X4,X5)
& in(X5,X3) )
| ~ in(X4,X3) )
& empty_set != X3
& element(X3,powerset(powerset(X2))) )
& in(X2,omega) )
| X0 != X2
| ~ ordinal(X2) )
| ~ in(X0,succ(X1)) )
& ( ( ? [X6] :
( ( ! [X7] :
( ? [X8] :
( ! [X9] :
( X8 = X9
| ~ subset(X8,X9)
| ~ in(X9,X7) )
& in(X8,X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(X6))) )
| ~ in(X6,omega) )
& X0 = X6
& ordinal(X6) )
& in(X0,succ(X1)) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X2,X0] :
( ( sP0(X2,X0)
| ! [X3] :
( ( ? [X4] :
( ! [X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,X4) )
| ~ in(X5,X4) )
& empty_set != X4
& element(X4,powerset(powerset(X3))) )
& in(X3,omega) )
| X2 != X3
| ~ ordinal(X3) )
| ~ in(X2,succ(X0)) )
& ( ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) )
| ~ sP0(X2,X0) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X2,X0] :
( ( sP0(X2,X0)
| ! [X3] :
( ( ? [X4] :
( ! [X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,X4) )
| ~ in(X5,X4) )
& empty_set != X4
& element(X4,powerset(powerset(X3))) )
& in(X3,omega) )
| X2 != X3
| ~ ordinal(X3) )
| ~ in(X2,succ(X0)) )
& ( ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) )
| ~ sP0(X2,X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X2,X0] :
( sP0(X2,X0)
<=> ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1427,plain,
( ~ element(sK4(sK9(sK10(sK8))),powerset(powerset(sK9(sK10(sK8)))))
| spl41_107 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f1428,plain,
( ~ spl41_107
| spl41_24
| ~ spl41_23
| ~ spl41_37
| ~ spl41_52
| spl41_53
| ~ spl41_87
| ~ spl41_93 ),
inference(avatar_split_clause,[],[f1423,f1316,f1098,f723,f719,f586,f508,f512,f1425]) ).
fof(f586,plain,
( spl41_37
<=> ! [X0,X1] :
( ~ subset(sK15(X0),X1)
| sK15(X0) = X1
| ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| empty_set = X0
| ~ in(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f719,plain,
( spl41_52
<=> in(sK15(sK4(sK9(sK10(sK8)))),sK4(sK9(sK10(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f723,plain,
( spl41_53
<=> empty_set = sK4(sK9(sK10(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f1098,plain,
( spl41_87
<=> sP2(sK9(sK10(sK8)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f1316,plain,
( spl41_93
<=> in(sK5(sK9(sK10(sK8)),sK15(sK4(sK9(sK10(sK8))))),sK4(sK9(sK10(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f1423,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ element(sK4(sK9(sK10(sK8))),powerset(powerset(sK9(sK10(sK8)))))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_23
| ~ spl41_37
| ~ spl41_52
| spl41_53
| ~ spl41_87
| ~ spl41_93 ),
inference(subsumption_resolution,[],[f1422,f509]) ).
fof(f1422,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ element(sK4(sK9(sK10(sK8))),powerset(powerset(sK9(sK10(sK8)))))
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_37
| ~ spl41_52
| spl41_53
| ~ spl41_87
| ~ spl41_93 ),
inference(subsumption_resolution,[],[f1421,f1317]) ).
fof(f1317,plain,
( in(sK5(sK9(sK10(sK8)),sK15(sK4(sK9(sK10(sK8))))),sK4(sK9(sK10(sK8))))
| ~ spl41_93 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1421,plain,
( ! [X0] :
( ~ in(sK5(sK9(sK10(sK8)),sK15(sK4(sK9(sK10(sK8))))),sK4(sK9(sK10(sK8))))
| sP0(sK9(sK10(sK8)),X0)
| ~ element(sK4(sK9(sK10(sK8))),powerset(powerset(sK9(sK10(sK8)))))
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_37
| ~ spl41_52
| spl41_53
| ~ spl41_87 ),
inference(subsumption_resolution,[],[f1420,f724]) ).
fof(f724,plain,
( empty_set != sK4(sK9(sK10(sK8)))
| spl41_53 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f1420,plain,
( ! [X0] :
( empty_set = sK4(sK9(sK10(sK8)))
| ~ in(sK5(sK9(sK10(sK8)),sK15(sK4(sK9(sK10(sK8))))),sK4(sK9(sK10(sK8))))
| sP0(sK9(sK10(sK8)),X0)
| ~ element(sK4(sK9(sK10(sK8))),powerset(powerset(sK9(sK10(sK8)))))
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_37
| ~ spl41_52
| ~ spl41_87 ),
inference(resolution,[],[f1238,f721]) ).
fof(f721,plain,
( in(sK15(sK4(sK9(sK10(sK8)))),sK4(sK9(sK10(sK8))))
| ~ spl41_52 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1238,plain,
( ! [X2,X0,X1] :
( ~ in(sK15(X0),sK4(X1))
| empty_set = X0
| ~ in(sK5(X1,sK15(X0)),X0)
| sP0(X1,X2)
| ~ element(X0,powerset(powerset(sK9(sK10(sK8)))))
| ~ ordinal(X1)
| ~ in(X1,succ(X2)) )
| ~ spl41_37
| ~ spl41_87 ),
inference(backward_demodulation,[],[f1016,f1223]) ).
fof(f1223,plain,
( sK9(sK10(sK8)) = sK14(sK9(sK10(sK8)))
| ~ spl41_87 ),
inference(resolution,[],[f1100,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sK14(X0) = X0 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( ! [X3] :
( ( ! [X5] :
( ( sK12(X3,X5) != X5
& subset(X5,sK12(X3,X5))
& in(sK12(X3,X5),sK11(X3)) )
| ~ in(X5,sK11(X3)) )
& empty_set != sK11(X3)
& element(sK11(X3),powerset(powerset(X3)))
& in(X3,omega) )
| X0 != X3
| ~ ordinal(X3) )
| X0 != X2
| ~ in(X2,succ(X1)) ) )
& ( ( ( ! [X9] :
( ( ! [X11] :
( sK15(X9) = X11
| ~ subset(sK15(X9),X11)
| ~ in(X11,X9) )
& in(sK15(X9),X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(sK14(X0)))) )
| ~ in(sK14(X0),omega) )
& sK14(X0) = X0
& ordinal(sK14(X0))
& sK13(X0,X1) = X0
& in(sK13(X0,X1),succ(X1)) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f107,f112,f111,f110,f109,f108]) ).
fof(f108,plain,
! [X3] :
( ? [X4] :
( ! [X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,X4) )
| ~ in(X5,X4) )
& empty_set != X4
& element(X4,powerset(powerset(X3))) )
=> ( ! [X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,sK11(X3)) )
| ~ in(X5,sK11(X3)) )
& empty_set != sK11(X3)
& element(sK11(X3),powerset(powerset(X3))) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X3,X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,sK11(X3)) )
=> ( sK12(X3,X5) != X5
& subset(X5,sK12(X3,X5))
& in(sK12(X3,X5),sK11(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X7] :
( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X0 = X8
& ordinal(X8) )
& X0 = X7
& in(X7,succ(X1)) )
=> ( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X0 = X8
& ordinal(X8) )
& sK13(X0,X1) = X0
& in(sK13(X0,X1),succ(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X0 = X8
& ordinal(X8) )
=> ( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(sK14(X0)))) )
| ~ in(sK14(X0),omega) )
& sK14(X0) = X0
& ordinal(sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
=> ( ! [X11] :
( sK15(X9) = X11
| ~ subset(sK15(X9),X11)
| ~ in(X11,X9) )
& in(sK15(X9),X9) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( ! [X3] :
( ( ? [X4] :
( ! [X5] :
( ? [X6] :
( X5 != X6
& subset(X5,X6)
& in(X6,X4) )
| ~ in(X5,X4) )
& empty_set != X4
& element(X4,powerset(powerset(X3))) )
& in(X3,omega) )
| X0 != X3
| ~ ordinal(X3) )
| X0 != X2
| ~ in(X2,succ(X1)) ) )
& ( ? [X7] :
( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X0 = X8
& ordinal(X8) )
& X0 = X7
& in(X7,succ(X1)) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X13,X0] :
( ( sP2(X13,X0)
| ! [X14] :
( ! [X15] :
( ( ? [X16] :
( ! [X17] :
( ? [X18] :
( X17 != X18
& subset(X17,X18)
& in(X18,X16) )
| ~ in(X17,X16) )
& empty_set != X16
& element(X16,powerset(powerset(X15))) )
& in(X15,omega) )
| X13 != X15
| ~ ordinal(X15) )
| X13 != X14
| ~ in(X14,succ(X0)) ) )
& ( ? [X14] :
( ? [X15] :
( ( ! [X16] :
( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) )
| ~ sP2(X13,X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X13,X0] :
( sP2(X13,X0)
<=> ? [X14] :
( ? [X15] :
( ( ! [X16] :
( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1100,plain,
( sP2(sK9(sK10(sK8)),sK8)
| ~ spl41_87 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1016,plain,
( ! [X2,X0,X1] :
( ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| empty_set = X0
| ~ in(sK5(X1,sK15(X0)),X0)
| sP0(X1,X2)
| ~ in(sK15(X0),sK4(X1))
| ~ ordinal(X1)
| ~ in(X1,succ(X2)) )
| ~ spl41_37 ),
inference(subsumption_resolution,[],[f1014,f302]) ).
fof(f302,plain,
! [X2,X1,X4] :
( ~ in(X4,sK4(X2))
| sK5(X2,X4) != X4
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1)
| sK5(X2,X4) != X4
| ~ in(X4,sK4(X2))
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f1014,plain,
( ! [X2,X0,X1] :
( sK15(X0) = sK5(X1,sK15(X0))
| ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| empty_set = X0
| ~ in(sK5(X1,sK15(X0)),X0)
| sP0(X1,X2)
| ~ in(sK15(X0),sK4(X1))
| ~ ordinal(X1)
| ~ in(X1,succ(X2)) )
| ~ spl41_37 ),
inference(resolution,[],[f587,f303]) ).
fof(f303,plain,
! [X2,X1,X4] :
( subset(X4,sK5(X2,X4))
| sP0(X2,X1)
| ~ in(X4,sK4(X2))
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1)
| subset(X4,sK5(X2,X4))
| ~ in(X4,sK4(X2))
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ subset(sK15(X0),X1)
| sK15(X0) = X1
| ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| empty_set = X0
| ~ in(X1,X0) )
| ~ spl41_37 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f1324,plain,
( spl41_24
| spl41_93
| ~ spl41_23
| ~ spl41_52 ),
inference(avatar_split_clause,[],[f1323,f719,f508,f1316,f512]) ).
fof(f1323,plain,
( ! [X0] :
( in(sK5(sK9(sK10(sK8)),sK15(sK4(sK9(sK10(sK8))))),sK4(sK9(sK10(sK8))))
| sP0(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_23
| ~ spl41_52 ),
inference(subsumption_resolution,[],[f1310,f509]) ).
fof(f1310,plain,
( ! [X0] :
( in(sK5(sK9(sK10(sK8)),sK15(sK4(sK9(sK10(sK8))))),sK4(sK9(sK10(sK8))))
| sP0(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_52 ),
inference(resolution,[],[f721,f304]) ).
fof(f304,plain,
! [X2,X1,X4] :
( ~ in(X4,sK4(X2))
| in(sK5(X2,X4),sK4(X2))
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f167]) ).
fof(f167,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1)
| in(sK5(X2,X4),sK4(X2))
| ~ in(X4,sK4(X2))
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f1215,plain,
( spl41_87
| ~ spl41_16
| ~ spl41_22 ),
inference(avatar_split_clause,[],[f1214,f495,f447,f1098]) ).
fof(f447,plain,
( spl41_16
<=> sP3(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f495,plain,
( spl41_22
<=> in(sK9(sK10(sK8)),sK10(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f1214,plain,
( sP2(sK9(sK10(sK8)),sK8)
| ~ spl41_16
| ~ spl41_22 ),
inference(subsumption_resolution,[],[f1209,f448]) ).
fof(f448,plain,
( sP3(sK8)
| ~ spl41_16 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1209,plain,
( sP2(sK9(sK10(sK8)),sK8)
| ~ sP3(sK8)
| ~ spl41_22 ),
inference(resolution,[],[f497,f173]) ).
fof(f173,plain,
! [X2,X0] :
( ~ in(X2,sK10(X0))
| sP2(X2,X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X2] :
( ( in(X2,sK10(X0))
| ~ sP2(X2,X0) )
& ( sP2(X2,X0)
| ~ in(X2,sK10(X0)) ) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f103,f104]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ sP2(X2,X0) )
& ( sP2(X2,X0)
| ~ in(X2,X1) ) )
=> ! [X2] :
( ( in(X2,sK10(X0))
| ~ sP2(X2,X0) )
& ( sP2(X2,X0)
| ~ in(X2,sK10(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ sP2(X2,X0) )
& ( sP2(X2,X0)
| ~ in(X2,X1) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ? [X12] :
! [X13] :
( ( in(X13,X12)
| ~ sP2(X13,X0) )
& ( sP2(X13,X0)
| ~ in(X13,X12) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> sP2(X13,X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f497,plain,
( in(sK9(sK10(sK8)),sK10(sK8))
| ~ spl41_22 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1203,plain,
( ~ spl41_23
| spl41_26
| spl41_63
| ~ spl41_27
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f1202,f884,f524,f888,f521,f508]) ).
fof(f521,plain,
( spl41_26
<=> ! [X0] :
( sP2(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f888,plain,
( spl41_63
<=> ! [X0] :
( in(sK9(X0),X0)
| ~ element(sK11(sK9(sK10(sK8))),powerset(powerset(sK9(X0))))
| ~ ordinal(sK9(X0))
| sP2(sK9(X0),sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f524,plain,
( spl41_27
<=> in(sK7(sK11(sK9(sK10(sK8)))),sK11(sK9(sK10(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f884,plain,
( spl41_62
<=> in(sK12(sK9(sK10(sK8)),sK7(sK11(sK9(sK10(sK8))))),sK11(sK9(sK10(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f1202,plain,
( ! [X0,X1] :
( in(sK9(X0),X0)
| sP2(sK9(X0),sK8)
| ~ ordinal(sK9(X0))
| sP2(sK9(sK10(sK8)),X1)
| ~ element(sK11(sK9(sK10(sK8))),powerset(powerset(sK9(X0))))
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X1)) )
| ~ spl41_27
| ~ spl41_62 ),
inference(subsumption_resolution,[],[f1201,f315]) ).
fof(f315,plain,
! [X3,X1] :
( empty_set != sK11(X3)
| sP2(X3,X1)
| ~ ordinal(X3)
| ~ in(X3,succ(X1)) ),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X3,X1] :
( sP2(X3,X1)
| empty_set != sK11(X3)
| ~ ordinal(X3)
| X2 != X3
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1)
| empty_set != sK11(X3)
| X0 != X3
| ~ ordinal(X3)
| X0 != X2
| ~ in(X2,succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f1201,plain,
( ! [X0,X1] :
( empty_set = sK11(sK9(sK10(sK8)))
| in(sK9(X0),X0)
| sP2(sK9(X0),sK8)
| ~ ordinal(sK9(X0))
| sP2(sK9(sK10(sK8)),X1)
| ~ element(sK11(sK9(sK10(sK8))),powerset(powerset(sK9(X0))))
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X1)) )
| ~ spl41_27
| ~ spl41_62 ),
inference(subsumption_resolution,[],[f1194,f885]) ).
fof(f885,plain,
( in(sK12(sK9(sK10(sK8)),sK7(sK11(sK9(sK10(sK8))))),sK11(sK9(sK10(sK8))))
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f1194,plain,
( ! [X0,X1] :
( empty_set = sK11(sK9(sK10(sK8)))
| in(sK9(X0),X0)
| sP2(sK9(X0),sK8)
| ~ ordinal(sK9(X0))
| ~ in(sK12(sK9(sK10(sK8)),sK7(sK11(sK9(sK10(sK8))))),sK11(sK9(sK10(sK8))))
| sP2(sK9(sK10(sK8)),X1)
| ~ element(sK11(sK9(sK10(sK8))),powerset(powerset(sK9(X0))))
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X1)) )
| ~ spl41_27 ),
inference(resolution,[],[f526,f783]) ).
fof(f783,plain,
! [X2,X3,X0,X1] :
( ~ in(sK7(X0),sK11(X2))
| empty_set = X0
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| ~ ordinal(sK9(X1))
| ~ in(sK12(X2,sK7(X0)),X0)
| sP2(X2,X3)
| ~ element(X0,powerset(powerset(sK9(X1))))
| ~ ordinal(X2)
| ~ in(X2,succ(X3)) ),
inference(subsumption_resolution,[],[f781,f309]) ).
fof(f309,plain,
! [X3,X1,X5] :
( ~ in(X5,sK11(X3))
| sK12(X3,X5) != X5
| sP2(X3,X1)
| ~ ordinal(X3)
| ~ in(X3,succ(X1)) ),
inference(equality_resolution,[],[f308]) ).
fof(f308,plain,
! [X2,X3,X1,X5] :
( sP2(X3,X1)
| sK12(X3,X5) != X5
| ~ in(X5,sK11(X3))
| ~ ordinal(X3)
| X2 != X3
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X5] :
( sP2(X0,X1)
| sK12(X3,X5) != X5
| ~ in(X5,sK11(X3))
| X0 != X3
| ~ ordinal(X3)
| X0 != X2
| ~ in(X2,succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f781,plain,
! [X2,X3,X0,X1] :
( ~ element(X0,powerset(powerset(sK9(X1))))
| empty_set = X0
| sK7(X0) = sK12(X2,sK7(X0))
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| ~ ordinal(sK9(X1))
| ~ in(sK12(X2,sK7(X0)),X0)
| sP2(X2,X3)
| ~ in(sK7(X0),sK11(X2))
| ~ ordinal(X2)
| ~ in(X2,succ(X3)) ),
inference(resolution,[],[f762,f311]) ).
fof(f311,plain,
! [X3,X1,X5] :
( subset(X5,sK12(X3,X5))
| sP2(X3,X1)
| ~ in(X5,sK11(X3))
| ~ ordinal(X3)
| ~ in(X3,succ(X1)) ),
inference(equality_resolution,[],[f310]) ).
fof(f310,plain,
! [X2,X3,X1,X5] :
( sP2(X3,X1)
| subset(X5,sK12(X3,X5))
| ~ in(X5,sK11(X3))
| ~ ordinal(X3)
| X2 != X3
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X5] :
( sP2(X0,X1)
| subset(X5,sK12(X3,X5))
| ~ in(X5,sK11(X3))
| X0 != X3
| ~ ordinal(X3)
| X0 != X2
| ~ in(X2,succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ subset(sK7(X0),X2)
| ~ element(X0,powerset(powerset(sK9(X1))))
| empty_set = X0
| sK7(X0) = X2
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| ~ ordinal(sK9(X1))
| ~ in(X2,X0) ),
inference(duplicate_literal_removal,[],[f759]) ).
fof(f759,plain,
! [X2,X0,X1] :
( empty_set = X0
| ~ element(X0,powerset(powerset(sK9(X1))))
| ~ subset(sK7(X0),X2)
| sK7(X0) = X2
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| ~ ordinal(sK9(X1))
| ~ in(X2,X0)
| in(sK9(X1),X1) ),
inference(resolution,[],[f438,f366]) ).
fof(f366,plain,
! [X0] :
( in(sK9(X0),succ(sK8))
| in(sK9(X0),X0) ),
inference(resolution,[],[f159,f171]) ).
fof(f171,plain,
! [X1] :
( sP0(sK9(X1),sK8)
| in(sK9(X1),X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ! [X1] :
( ( ~ sP0(sK9(X1),sK8)
| ~ in(sK9(X1),X1) )
& ( sP0(sK9(X1),sK8)
| in(sK9(X1),X1) ) )
& ordinal(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f98,f100,f99]) ).
fof(f99,plain,
( ? [X0] :
( ! [X1] :
? [X2] :
( ( ~ sP0(X2,X0)
| ~ in(X2,X1) )
& ( sP0(X2,X0)
| in(X2,X1) ) )
& ordinal(X0) )
=> ( ! [X1] :
? [X2] :
( ( ~ sP0(X2,sK8)
| ~ in(X2,X1) )
& ( sP0(X2,sK8)
| in(X2,X1) ) )
& ordinal(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X1] :
( ? [X2] :
( ( ~ sP0(X2,sK8)
| ~ in(X2,X1) )
& ( sP0(X2,sK8)
| in(X2,X1) ) )
=> ( ( ~ sP0(sK9(X1),sK8)
| ~ in(sK9(X1),X1) )
& ( sP0(sK9(X1),sK8)
| in(sK9(X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
? [X0] :
( ! [X1] :
? [X2] :
( ( ~ sP0(X2,X0)
| ~ in(X2,X1) )
& ( sP0(X2,X0)
| in(X2,X1) ) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
? [X0] :
( ! [X1] :
? [X2] :
( in(X2,X1)
<~> sP0(X2,X0) )
& ordinal(X0) ),
inference(definition_folding,[],[f61,f84]) ).
fof(f61,plain,
? [X0] :
( ! [X1] :
? [X2] :
( in(X2,X1)
<~> ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) )
& ordinal(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ! [X1] :
? [X2] :
( in(X2,X1)
<~> ( ? [X3] :
( ( ! [X4] :
( ? [X5] :
( ! [X6] :
( X5 = X6
| ~ subset(X5,X6)
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ? [X3] :
( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( ! [X5] :
~ ( ! [X6] :
( ( subset(X5,X6)
& in(X6,X4) )
=> X5 = X6 )
& in(X5,X4) )
& empty_set != X4 ) ) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ordinal(X0)
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ? [X3] :
( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( ! [X5] :
~ ( ! [X6] :
( ( subset(X5,X6)
& in(X6,X4) )
=> X5 = X6 )
& in(X5,X4) )
& empty_set != X4 ) ) )
& X2 = X3
& ordinal(X3) )
& in(X2,succ(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7OyoMahLgk/Vampire---4.8_31136',s1_xboole_0__e18_27__finset_1__1) ).
fof(f159,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( ~ in(sK9(X2),succ(X3))
| empty_set = X1
| ~ element(X1,powerset(powerset(sK9(X2))))
| ~ subset(sK7(X1),X0)
| sK7(X1) = X0
| in(sK9(X2),X2)
| sP2(sK9(X2),X3)
| ~ ordinal(sK9(X2))
| ~ in(X0,X1) ),
inference(resolution,[],[f434,f319]) ).
fof(f319,plain,
! [X3,X1] :
( in(X3,omega)
| sP2(X3,X1)
| ~ ordinal(X3)
| ~ in(X3,succ(X1)) ),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X2,X3,X1] :
( sP2(X3,X1)
| in(X3,omega)
| ~ ordinal(X3)
| X2 != X3
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1)
| in(X3,omega)
| X0 != X3
| ~ ordinal(X3)
| X0 != X2
| ~ in(X2,succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ in(sK9(X0),omega)
| ~ in(X1,X2)
| empty_set = X2
| ~ element(X2,powerset(powerset(sK9(X0))))
| ~ subset(sK7(X2),X1)
| sK7(X2) = X1
| in(sK9(X0),X0) ),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ in(sK9(X0),omega)
| ~ in(X1,X2)
| empty_set = X2
| ~ element(X2,powerset(powerset(sK9(X0))))
| ~ subset(sK7(X2),X1)
| sK7(X2) = X1
| in(sK9(X0),X0)
| in(sK9(X0),X0) ),
inference(superposition,[],[f425,f367]) ).
fof(f367,plain,
! [X0] :
( sK9(X0) = sK6(sK9(X0))
| in(sK9(X0),X0) ),
inference(resolution,[],[f161,f171]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK6(X0) = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ in(sK6(sK9(X2)),omega)
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK6(sK9(X2)))))
| ~ subset(sK7(X0),X1)
| sK7(X0) = X1
| in(sK9(X2),X2) ),
inference(resolution,[],[f163,f171]) ).
fof(f163,plain,
! [X0,X1,X9,X7] :
( ~ sP0(X0,X1)
| ~ subset(sK7(X7),X9)
| ~ in(X9,X7)
| empty_set = X7
| ~ element(X7,powerset(powerset(sK6(X0))))
| ~ in(sK6(X0),omega)
| sK7(X7) = X9 ),
inference(cnf_transformation,[],[f97]) ).
fof(f526,plain,
( in(sK7(sK11(sK9(sK10(sK8)))),sK11(sK9(sK10(sK8))))
| ~ spl41_27 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f1200,plain,
( spl41_22
| spl41_23 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| spl41_22
| spl41_23 ),
inference(subsumption_resolution,[],[f1198,f496]) ).
fof(f496,plain,
( ~ in(sK9(sK10(sK8)),sK10(sK8))
| spl41_22 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1198,plain,
( in(sK9(sK10(sK8)),sK10(sK8))
| spl41_22
| spl41_23 ),
inference(resolution,[],[f1189,f171]) ).
fof(f1189,plain,
( ! [X0] : ~ sP0(sK9(sK10(sK8)),X0)
| spl41_22
| spl41_23 ),
inference(subsumption_resolution,[],[f1185,f496]) ).
fof(f1185,plain,
( ! [X0] :
( ~ sP0(sK9(sK10(sK8)),X0)
| in(sK9(sK10(sK8)),sK10(sK8)) )
| spl41_23 ),
inference(resolution,[],[f510,f374]) ).
fof(f374,plain,
! [X0,X1] :
( ordinal(sK9(X0))
| ~ sP0(sK9(X0),X1)
| in(sK9(X0),X0) ),
inference(superposition,[],[f160,f367]) ).
fof(f160,plain,
! [X0,X1] :
( ordinal(sK6(X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f510,plain,
( ~ ordinal(sK9(sK10(sK8)))
| spl41_23 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f1183,plain,
( ~ spl41_23
| spl41_26
| spl41_27
| ~ spl41_21 ),
inference(avatar_split_clause,[],[f1182,f492,f524,f521,f508]) ).
fof(f492,plain,
( spl41_21
<=> ! [X0] :
( in(sK7(X0),X0)
| ~ element(X0,powerset(powerset(sK9(sK10(sK8)))))
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f1182,plain,
( ! [X0] :
( in(sK7(sK11(sK9(sK10(sK8)))),sK11(sK9(sK10(sK8))))
| sP2(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_21 ),
inference(subsumption_resolution,[],[f846,f315]) ).
fof(f846,plain,
( ! [X0] :
( in(sK7(sK11(sK9(sK10(sK8)))),sK11(sK9(sK10(sK8))))
| empty_set = sK11(sK9(sK10(sK8)))
| sP2(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_21 ),
inference(resolution,[],[f493,f317]) ).
fof(f317,plain,
! [X3,X1] :
( element(sK11(X3),powerset(powerset(X3)))
| sP2(X3,X1)
| ~ ordinal(X3)
| ~ in(X3,succ(X1)) ),
inference(equality_resolution,[],[f316]) ).
fof(f316,plain,
! [X2,X3,X1] :
( sP2(X3,X1)
| element(sK11(X3),powerset(powerset(X3)))
| ~ ordinal(X3)
| X2 != X3
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1)
| element(sK11(X3),powerset(powerset(X3)))
| X0 != X3
| ~ ordinal(X3)
| X0 != X2
| ~ in(X2,succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f493,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK9(sK10(sK8)))))
| in(sK7(X0),X0)
| empty_set = X0 )
| ~ spl41_21 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1179,plain,
( ~ spl41_23
| spl41_26
| spl41_62
| ~ spl41_27 ),
inference(avatar_split_clause,[],[f879,f524,f884,f521,f508]) ).
fof(f879,plain,
( ! [X0] :
( in(sK12(sK9(sK10(sK8)),sK7(sK11(sK9(sK10(sK8))))),sK11(sK9(sK10(sK8))))
| sP2(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_27 ),
inference(resolution,[],[f526,f313]) ).
fof(f313,plain,
! [X3,X1,X5] :
( ~ in(X5,sK11(X3))
| in(sK12(X3,X5),sK11(X3))
| sP2(X3,X1)
| ~ ordinal(X3)
| ~ in(X3,succ(X1)) ),
inference(equality_resolution,[],[f312]) ).
fof(f312,plain,
! [X2,X3,X1,X5] :
( sP2(X3,X1)
| in(sK12(X3,X5),sK11(X3))
| ~ in(X5,sK11(X3))
| ~ ordinal(X3)
| X2 != X3
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X5] :
( sP2(X0,X1)
| in(sK12(X3,X5),sK11(X3))
| ~ in(X5,sK11(X3))
| X0 != X3
| ~ ordinal(X3)
| X0 != X2
| ~ in(X2,succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f1110,plain,
( ~ spl41_16
| spl41_22
| ~ spl41_87 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl41_16
| spl41_22
| ~ spl41_87 ),
inference(subsumption_resolution,[],[f1108,f448]) ).
fof(f1108,plain,
( ~ sP3(sK8)
| spl41_22
| ~ spl41_87 ),
inference(subsumption_resolution,[],[f1105,f496]) ).
fof(f1105,plain,
( in(sK9(sK10(sK8)),sK10(sK8))
| ~ sP3(sK8)
| ~ spl41_87 ),
inference(resolution,[],[f1100,f174]) ).
fof(f174,plain,
! [X2,X0] :
( ~ sP2(X2,X0)
| in(X2,sK10(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f1101,plain,
( spl41_26
| spl41_87
| spl41_22
| ~ spl41_23
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f1096,f888,f508,f495,f1098,f521]) ).
fof(f1096,plain,
( ! [X0] :
( sP2(sK9(sK10(sK8)),sK8)
| sP2(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| spl41_22
| ~ spl41_23
| ~ spl41_63 ),
inference(subsumption_resolution,[],[f1095,f509]) ).
fof(f1095,plain,
( ! [X0] :
( ~ ordinal(sK9(sK10(sK8)))
| sP2(sK9(sK10(sK8)),sK8)
| sP2(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| spl41_22
| ~ spl41_63 ),
inference(subsumption_resolution,[],[f1094,f496]) ).
fof(f1094,plain,
( ! [X0] :
( in(sK9(sK10(sK8)),sK10(sK8))
| ~ ordinal(sK9(sK10(sK8)))
| sP2(sK9(sK10(sK8)),sK8)
| sP2(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_63 ),
inference(duplicate_literal_removal,[],[f1093]) ).
fof(f1093,plain,
( ! [X0] :
( in(sK9(sK10(sK8)),sK10(sK8))
| ~ ordinal(sK9(sK10(sK8)))
| sP2(sK9(sK10(sK8)),sK8)
| sP2(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_63 ),
inference(resolution,[],[f889,f317]) ).
fof(f889,plain,
( ! [X0] :
( ~ element(sK11(sK9(sK10(sK8))),powerset(powerset(sK9(X0))))
| in(sK9(X0),X0)
| ~ ordinal(sK9(X0))
| sP2(sK9(X0),sK8) )
| ~ spl41_63 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f864,plain,
( ~ spl41_16
| spl41_22
| ~ spl41_26 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f863,plain,
( $false
| ~ spl41_16
| spl41_22
| ~ spl41_26 ),
inference(subsumption_resolution,[],[f862,f448]) ).
fof(f862,plain,
( ~ sP3(sK8)
| spl41_22
| ~ spl41_26 ),
inference(subsumption_resolution,[],[f859,f496]) ).
fof(f859,plain,
( in(sK9(sK10(sK8)),sK10(sK8))
| ~ sP3(sK8)
| spl41_22
| ~ spl41_26 ),
inference(resolution,[],[f853,f174]) ).
fof(f853,plain,
( sP2(sK9(sK10(sK8)),sK8)
| spl41_22
| ~ spl41_26 ),
inference(subsumption_resolution,[],[f852,f496]) ).
fof(f852,plain,
( sP2(sK9(sK10(sK8)),sK8)
| in(sK9(sK10(sK8)),sK10(sK8))
| ~ spl41_26 ),
inference(resolution,[],[f522,f366]) ).
fof(f522,plain,
( ! [X0] :
( ~ in(sK9(sK10(sK8)),succ(X0))
| sP2(sK9(sK10(sK8)),X0) )
| ~ spl41_26 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f804,plain,
( spl41_24
| ~ spl41_23
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f803,f723,f508,f512]) ).
fof(f803,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_23
| ~ spl41_53 ),
inference(subsumption_resolution,[],[f792,f509]) ).
fof(f792,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_53 ),
inference(trivial_inequality_removal,[],[f791]) ).
fof(f791,plain,
( ! [X0] :
( empty_set != empty_set
| sP0(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_53 ),
inference(superposition,[],[f305,f725]) ).
fof(f725,plain,
( empty_set = sK4(sK9(sK10(sK8)))
| ~ spl41_53 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f305,plain,
! [X2,X1] :
( empty_set != sK4(X2)
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| empty_set != sK4(X2)
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f787,plain,
( ~ spl41_16
| ~ spl41_22
| ~ spl41_24 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| ~ spl41_16
| ~ spl41_22
| ~ spl41_24 ),
inference(subsumption_resolution,[],[f784,f566]) ).
fof(f566,plain,
( ~ sP0(sK9(sK10(sK8)),sK8)
| ~ spl41_22 ),
inference(resolution,[],[f497,f172]) ).
fof(f172,plain,
! [X1] :
( ~ in(sK9(X1),X1)
| ~ sP0(sK9(X1),sK8) ),
inference(cnf_transformation,[],[f101]) ).
fof(f784,plain,
( sP0(sK9(sK10(sK8)),sK8)
| ~ spl41_16
| ~ spl41_22
| ~ spl41_24 ),
inference(resolution,[],[f513,f593]) ).
fof(f593,plain,
( in(sK9(sK10(sK8)),succ(sK8))
| ~ spl41_16
| ~ spl41_22 ),
inference(backward_demodulation,[],[f577,f579]) ).
fof(f579,plain,
( sK9(sK10(sK8)) = sK13(sK9(sK10(sK8)),sK8)
| ~ spl41_16
| ~ spl41_22 ),
inference(resolution,[],[f569,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sK13(X0,X1) = X0 ),
inference(cnf_transformation,[],[f113]) ).
fof(f569,plain,
( sP2(sK9(sK10(sK8)),sK8)
| ~ spl41_16
| ~ spl41_22 ),
inference(subsumption_resolution,[],[f567,f448]) ).
fof(f567,plain,
( sP2(sK9(sK10(sK8)),sK8)
| ~ sP3(sK8)
| ~ spl41_22 ),
inference(resolution,[],[f497,f173]) ).
fof(f577,plain,
( in(sK13(sK9(sK10(sK8)),sK8),succ(sK8))
| ~ spl41_16
| ~ spl41_22 ),
inference(resolution,[],[f569,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| in(sK13(X0,X1),succ(X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f513,plain,
( ! [X0] :
( ~ in(sK9(sK10(sK8)),succ(X0))
| sP0(sK9(sK10(sK8)),X0) )
| ~ spl41_24 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f726,plain,
( spl41_24
| spl41_52
| spl41_53
| ~ spl41_16
| ~ spl41_22
| ~ spl41_23
| ~ spl41_38 ),
inference(avatar_split_clause,[],[f717,f590,f508,f495,f447,f723,f719,f512]) ).
fof(f590,plain,
( spl41_38
<=> ! [X0] :
( empty_set = X0
| in(sK15(X0),X0)
| ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f717,plain,
( ! [X0] :
( empty_set = sK4(sK9(sK10(sK8)))
| in(sK15(sK4(sK9(sK10(sK8)))),sK4(sK9(sK10(sK8))))
| sP0(sK9(sK10(sK8)),X0)
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_16
| ~ spl41_22
| ~ spl41_23
| ~ spl41_38 ),
inference(subsumption_resolution,[],[f711,f509]) ).
fof(f711,plain,
( ! [X0] :
( empty_set = sK4(sK9(sK10(sK8)))
| in(sK15(sK4(sK9(sK10(sK8)))),sK4(sK9(sK10(sK8))))
| sP0(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_16
| ~ spl41_22
| ~ spl41_38 ),
inference(resolution,[],[f690,f306]) ).
fof(f690,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK9(sK10(sK8)))))
| empty_set = X0
| in(sK15(X0),X0) )
| ~ spl41_16
| ~ spl41_22
| ~ spl41_38 ),
inference(forward_demodulation,[],[f591,f580]) ).
fof(f580,plain,
( sK9(sK10(sK8)) = sK14(sK9(sK10(sK8)))
| ~ spl41_16
| ~ spl41_22 ),
inference(resolution,[],[f569,f178]) ).
fof(f591,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| in(sK15(X0),X0)
| empty_set = X0 )
| ~ spl41_38 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f684,plain,
( ~ spl41_16
| ~ spl41_22
| spl41_23 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl41_16
| ~ spl41_22
| spl41_23 ),
inference(resolution,[],[f679,f569]) ).
fof(f679,plain,
( ! [X0] : ~ sP2(sK9(sK10(sK8)),X0)
| ~ spl41_16
| ~ spl41_22
| spl41_23 ),
inference(subsumption_resolution,[],[f678,f510]) ).
fof(f678,plain,
( ! [X0] :
( ordinal(sK9(sK10(sK8)))
| ~ sP2(sK9(sK10(sK8)),X0) )
| ~ spl41_16
| ~ spl41_22 ),
inference(superposition,[],[f177,f580]) ).
fof(f177,plain,
! [X0,X1] :
( ordinal(sK14(X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f598,plain,
( ~ spl41_23
| spl41_24
| ~ spl41_16
| ~ spl41_22
| spl41_36 ),
inference(avatar_split_clause,[],[f596,f582,f495,f447,f512,f508]) ).
fof(f582,plain,
( spl41_36
<=> in(sK14(sK9(sK10(sK8))),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f596,plain,
( ! [X0] :
( sP0(sK9(sK10(sK8)),X0)
| ~ ordinal(sK9(sK10(sK8)))
| ~ in(sK9(sK10(sK8)),succ(X0)) )
| ~ spl41_16
| ~ spl41_22
| spl41_36 ),
inference(resolution,[],[f594,f307]) ).
fof(f307,plain,
! [X2,X1] :
( in(X2,omega)
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| in(X2,omega)
| X0 != X2
| ~ ordinal(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f594,plain,
( ~ in(sK9(sK10(sK8)),omega)
| ~ spl41_16
| ~ spl41_22
| spl41_36 ),
inference(forward_demodulation,[],[f584,f580]) ).
fof(f584,plain,
( ~ in(sK14(sK9(sK10(sK8))),omega)
| spl41_36 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f592,plain,
( ~ spl41_36
| spl41_38
| ~ spl41_16
| ~ spl41_22 ),
inference(avatar_split_clause,[],[f576,f495,f447,f590,f582]) ).
fof(f576,plain,
( ! [X0] :
( empty_set = X0
| ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| ~ in(sK14(sK9(sK10(sK8))),omega)
| in(sK15(X0),X0) )
| ~ spl41_16
| ~ spl41_22 ),
inference(resolution,[],[f569,f179]) ).
fof(f179,plain,
! [X0,X1,X9] :
( ~ sP2(X0,X1)
| empty_set = X9
| ~ element(X9,powerset(powerset(sK14(X0))))
| ~ in(sK14(X0),omega)
| in(sK15(X9),X9) ),
inference(cnf_transformation,[],[f113]) ).
fof(f588,plain,
( ~ spl41_36
| spl41_37
| ~ spl41_16
| ~ spl41_22 ),
inference(avatar_split_clause,[],[f575,f495,f447,f586,f582]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ subset(sK15(X0),X1)
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK14(sK9(sK10(sK8))))))
| ~ in(sK14(sK9(sK10(sK8))),omega)
| sK15(X0) = X1 )
| ~ spl41_16
| ~ spl41_22 ),
inference(resolution,[],[f569,f180]) ).
fof(f180,plain,
! [X0,X11,X1,X9] :
( ~ sP2(X0,X1)
| ~ subset(sK15(X9),X11)
| ~ in(X11,X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(sK14(X0))))
| ~ in(sK14(X0),omega)
| sK15(X9) = X11 ),
inference(cnf_transformation,[],[f113]) ).
fof(f499,plain,
( spl41_21
| spl41_22
| ~ spl41_17 ),
inference(avatar_split_clause,[],[f489,f451,f495,f492]) ).
fof(f451,plain,
( spl41_17
<=> ! [X0,X1] :
( in(sK9(X0),X0)
| in(sK9(X0),sK10(sK8))
| in(sK7(X1),X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(sK9(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f489,plain,
( ! [X0] :
( in(sK9(sK10(sK8)),sK10(sK8))
| in(sK7(X0),X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK9(sK10(sK8))))) )
| ~ spl41_17 ),
inference(factoring,[],[f452]) ).
fof(f452,plain,
( ! [X0,X1] :
( in(sK9(X0),sK10(sK8))
| in(sK9(X0),X0)
| in(sK7(X1),X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(sK9(X0)))) )
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f467,plain,
( ~ spl41_8
| spl41_1
| ~ spl41_10 ),
inference(avatar_split_clause,[],[f466,f361,f321,f351]) ).
fof(f351,plain,
( spl41_8
<=> sK18 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f321,plain,
( spl41_1
<=> sK19 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f361,plain,
( spl41_10
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f466,plain,
( sK18 != sK20
| spl41_1
| ~ spl41_10 ),
inference(forward_demodulation,[],[f323,f363]) ).
fof(f363,plain,
( sK18 = sK19
| ~ spl41_10 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f323,plain,
( sK19 != sK20
| spl41_1 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f458,plain,
( ~ spl41_2
| spl41_16 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl41_2
| spl41_16 ),
inference(subsumption_resolution,[],[f456,f170]) ).
fof(f170,plain,
ordinal(sK8),
inference(cnf_transformation,[],[f101]) ).
fof(f456,plain,
( ~ ordinal(sK8)
| ~ spl41_2
| spl41_16 ),
inference(resolution,[],[f449,f326]) ).
fof(f326,plain,
( ! [X0] :
( sP3(X0)
| ~ ordinal(X0) )
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl41_2
<=> ! [X0] :
( sP3(X0)
| ~ ordinal(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f449,plain,
( ~ sP3(sK8)
| spl41_16 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f453,plain,
( ~ spl41_16
| spl41_17 ),
inference(avatar_split_clause,[],[f443,f451,f447]) ).
fof(f443,plain,
! [X0,X1] :
( in(sK9(X0),X0)
| empty_set = X1
| ~ element(X1,powerset(powerset(sK9(X0))))
| in(sK7(X1),X1)
| in(sK9(X0),sK10(sK8))
| ~ sP3(sK8) ),
inference(resolution,[],[f436,f174]) ).
fof(f436,plain,
! [X0,X1] :
( sP2(sK9(X0),sK8)
| in(sK9(X0),X0)
| empty_set = X1
| ~ element(X1,powerset(powerset(sK9(X0))))
| in(sK7(X1),X1) ),
inference(duplicate_literal_removal,[],[f435]) ).
fof(f435,plain,
! [X0,X1] :
( in(sK9(X0),X0)
| sP2(sK9(X0),sK8)
| empty_set = X1
| ~ element(X1,powerset(powerset(sK9(X0))))
| in(sK7(X1),X1)
| in(sK9(X0),X0) ),
inference(resolution,[],[f430,f171]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ sP0(sK9(X1),X2)
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK9(X1))))
| in(sK7(X0),X0) ),
inference(duplicate_literal_removal,[],[f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( in(sK7(X0),X0)
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK9(X1))))
| ~ sP0(sK9(X1),X2)
| in(sK9(X1),X1) ),
inference(resolution,[],[f424,f374]) ).
fof(f424,plain,
! [X0,X1] :
( ~ ordinal(sK9(X1))
| in(sK7(X0),X0)
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK9(X1)))) ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f422,plain,
! [X0,X1] :
( empty_set = X0
| in(sK7(X0),X0)
| in(sK9(X1),X1)
| sP2(sK9(X1),sK8)
| ~ ordinal(sK9(X1))
| ~ element(X0,powerset(powerset(sK9(X1))))
| in(sK9(X1),X1) ),
inference(resolution,[],[f420,f366]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ in(sK9(X1),succ(X2))
| empty_set = X0
| in(sK7(X0),X0)
| in(sK9(X1),X1)
| sP2(sK9(X1),X2)
| ~ ordinal(sK9(X1))
| ~ element(X0,powerset(powerset(sK9(X1)))) ),
inference(resolution,[],[f418,f319]) ).
fof(f418,plain,
! [X0,X1] :
( ~ in(sK9(X0),omega)
| ~ element(X1,powerset(powerset(sK9(X0))))
| empty_set = X1
| in(sK7(X1),X1)
| in(sK9(X0),X0) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f417,plain,
! [X0,X1] :
( ~ in(sK9(X0),omega)
| ~ element(X1,powerset(powerset(sK9(X0))))
| empty_set = X1
| in(sK7(X1),X1)
| in(sK9(X0),X0)
| in(sK9(X0),X0) ),
inference(superposition,[],[f414,f367]) ).
fof(f414,plain,
! [X0,X1] :
( ~ in(sK6(sK9(X1)),omega)
| ~ element(X0,powerset(powerset(sK6(sK9(X1)))))
| empty_set = X0
| in(sK7(X0),X0)
| in(sK9(X1),X1) ),
inference(resolution,[],[f162,f171]) ).
fof(f162,plain,
! [X0,X1,X7] :
( ~ sP0(X0,X1)
| empty_set = X7
| ~ element(X7,powerset(powerset(sK6(X0))))
| ~ in(sK6(X0),omega)
| in(sK7(X7),X7) ),
inference(cnf_transformation,[],[f97]) ).
fof(f364,plain,
( spl41_10
| spl41_2 ),
inference(avatar_split_clause,[],[f191,f325,f361]) ).
fof(f191,plain,
! [X0] :
( sP3(X0)
| sK18 = sK19
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( sP3(X0)
| ( sK19 != sK20
& ( ! [X5] :
( ( ! [X7] :
( sK22(X5) = X7
| ~ subset(sK22(X5),X7)
| ~ in(X7,X5) )
& in(sK22(X5),X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(sK21))) )
| ~ in(sK21,omega) )
& sK20 = sK21
& ordinal(sK21)
& sK18 = sK20
& sP1(sK19)
& sK18 = sK19 )
| ~ ordinal(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f89,f121,f120,f119]) ).
fof(f119,plain,
( ? [X1,X2,X3] :
( X2 != X3
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& sP1(X2)
& X1 = X2 )
=> ( sK19 != sK20
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& sK20 = X4
& ordinal(X4) )
& sK18 = sK20
& sP1(sK19)
& sK18 = sK19 ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& sK20 = X4
& ordinal(X4) )
=> ( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(sK21))) )
| ~ in(sK21,omega) )
& sK20 = sK21
& ordinal(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
=> ( ! [X7] :
( sK22(X5) = X7
| ~ subset(sK22(X5),X7)
| ~ in(X7,X5) )
& in(sK22(X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( sP3(X0)
| ? [X1,X2,X3] :
( X2 != X3
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& sP1(X2)
& X1 = X2 )
| ~ ordinal(X0) ),
inference(definition_folding,[],[f63,f88,f87,f86]) ).
fof(f86,plain,
! [X2] :
( ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
| ~ sP1(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f63,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X15] :
( ( ! [X16] :
( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) )
| ? [X1,X2,X3] :
( X2 != X3
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
& X1 = X2 )
| ~ ordinal(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X15] :
( ( ! [X16] :
( ? [X17] :
( ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) )
& in(X17,X16) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) )
| ? [X1,X2,X3] :
( X2 != X3
& ? [X4] :
( ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& ? [X8] :
( ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
& X1 = X2 )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ordinal(X0)
=> ( ! [X1,X2,X3] :
( ( ? [X4] :
( ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
& X3 = X4
& ordinal(X4) )
& X1 = X3
& ? [X8] :
( ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( ! [X11] :
( ( subset(X10,X11)
& in(X11,X9) )
=> X10 = X11 )
& in(X10,X9) )
& empty_set != X9 ) ) )
& X2 = X8
& ordinal(X8) )
& X1 = X2 )
=> X2 = X3 )
=> ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( ? [X15] :
( ( in(X15,omega)
=> ! [X16] :
( element(X16,powerset(powerset(X15)))
=> ~ ( ! [X17] :
~ ( ! [X18] :
( ( subset(X17,X18)
& in(X18,X16) )
=> X17 = X18 )
& in(X17,X16) )
& empty_set != X16 ) ) )
& X13 = X15
& ordinal(X15) )
& X13 = X14
& in(X14,succ(X0)) ) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ordinal(X0)
=> ( ! [X1,X2,X3] :
( ( ? [X8] :
( ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( ! [X11] :
( ( subset(X10,X11)
& in(X11,X9) )
=> X10 = X11 )
& in(X10,X9) )
& empty_set != X9 ) ) )
& X3 = X8
& ordinal(X8) )
& X1 = X3
& ? [X4] :
( ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
& X2 = X4
& ordinal(X4) )
& X1 = X2 )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ? [X3] :
( ? [X12] :
( ( in(X12,omega)
=> ! [X13] :
( element(X13,powerset(powerset(X12)))
=> ~ ( ! [X14] :
~ ( ! [X15] :
( ( subset(X14,X15)
& in(X15,X13) )
=> X14 = X15 )
& in(X14,X13) )
& empty_set != X13 ) ) )
& X2 = X12
& ordinal(X12) )
& X2 = X3
& in(X3,succ(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7OyoMahLgk/Vampire---4.8_31136',s1_tarski__e18_27__finset_1__1) ).
fof(f354,plain,
( spl41_8
| spl41_2 ),
inference(avatar_split_clause,[],[f193,f325,f351]) ).
fof(f193,plain,
! [X0] :
( sP3(X0)
| sK18 = sK20
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f327,plain,
( ~ spl41_1
| spl41_2 ),
inference(avatar_split_clause,[],[f198,f325,f321]) ).
fof(f198,plain,
! [X0] :
( sP3(X0)
| sK19 != sK20
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SEU299+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 16:23:06 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.09/0.29 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.7OyoMahLgk/Vampire---4.8_31136
% 0.37/0.57 % (31390)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2997ds/83Mi)
% 0.37/0.57 % (31384)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2997ds/34Mi)
% 0.37/0.57 % (31391)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2997ds/56Mi)
% 0.37/0.57 % (31385)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2997ds/51Mi)
% 0.37/0.57 % (31386)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.37/0.57 % (31387)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.37/0.57 % (31388)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2997ds/34Mi)
% 0.37/0.57 % (31389)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.37/0.57 % (31384)Refutation not found, incomplete strategy% (31384)------------------------------
% 0.37/0.57 % (31384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.57 % (31384)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.57
% 0.37/0.57 % (31384)Memory used [KB]: 1179
% 0.37/0.57 % (31384)Time elapsed: 0.007 s
% 0.37/0.57 % (31384)Instructions burned: 11 (million)
% 0.37/0.57 % (31384)------------------------------
% 0.37/0.57 % (31384)------------------------------
% 0.37/0.57 % (31389)Refutation not found, incomplete strategy% (31389)------------------------------
% 0.37/0.57 % (31389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.57 % (31389)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.57
% 0.37/0.57 % (31389)Memory used [KB]: 1151
% 0.37/0.57 % (31389)Time elapsed: 0.006 s
% 0.37/0.57 % (31389)Instructions burned: 8 (million)
% 0.37/0.57 % (31389)------------------------------
% 0.37/0.57 % (31389)------------------------------
% 0.37/0.58 % (31392)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2997ds/55Mi)
% 0.37/0.58 % (31393)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2997ds/50Mi)
% 0.37/0.59 % (31388)Instruction limit reached!
% 0.37/0.59 % (31388)------------------------------
% 0.37/0.59 % (31388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.59 % (31388)Termination reason: Unknown
% 0.37/0.59 % (31388)Termination phase: Saturation
% 0.37/0.59
% 0.37/0.59 % (31388)Memory used [KB]: 1416
% 0.37/0.59 % (31388)Time elapsed: 0.019 s
% 0.37/0.59 % (31388)Instructions burned: 36 (million)
% 0.37/0.59 % (31388)------------------------------
% 0.37/0.59 % (31388)------------------------------
% 0.37/0.59 % (31387)Instruction limit reached!
% 0.37/0.59 % (31387)------------------------------
% 0.37/0.59 % (31387)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.59 % (31387)Termination reason: Unknown
% 0.37/0.59 % (31387)Termination phase: Saturation
% 0.37/0.59
% 0.37/0.59 % (31387)Memory used [KB]: 1727
% 0.37/0.59 % (31387)Time elapsed: 0.020 s
% 0.37/0.59 % (31387)Instructions burned: 33 (million)
% 0.37/0.59 % (31387)------------------------------
% 0.37/0.59 % (31387)------------------------------
% 0.37/0.59 % (31394)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/208Mi)
% 0.37/0.59 % (31395)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2997ds/52Mi)
% 0.37/0.59 % (31391)Instruction limit reached!
% 0.37/0.59 % (31391)------------------------------
% 0.37/0.59 % (31391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.59 % (31391)Termination reason: Unknown
% 0.37/0.59 % (31391)Termination phase: Saturation
% 0.37/0.59
% 0.37/0.59 % (31391)Memory used [KB]: 1334
% 0.37/0.59 % (31391)Time elapsed: 0.025 s
% 0.37/0.59 % (31391)Instructions burned: 56 (million)
% 0.37/0.59 % (31391)------------------------------
% 0.37/0.59 % (31391)------------------------------
% 0.37/0.59 % (31385)Instruction limit reached!
% 0.37/0.59 % (31385)------------------------------
% 0.37/0.59 % (31385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.59 % (31385)Termination reason: Unknown
% 0.37/0.59 % (31385)Termination phase: Saturation
% 0.37/0.59
% 0.37/0.59 % (31385)Memory used [KB]: 1432
% 0.37/0.59 % (31385)Time elapsed: 0.026 s
% 0.37/0.59 % (31385)Instructions burned: 51 (million)
% 0.37/0.59 % (31385)------------------------------
% 0.37/0.59 % (31385)------------------------------
% 0.37/0.59 % (31390)Instruction limit reached!
% 0.37/0.59 % (31390)------------------------------
% 0.37/0.59 % (31390)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.59 % (31390)Termination reason: Unknown
% 0.37/0.59 % (31390)Termination phase: Saturation
% 0.37/0.59
% 0.37/0.59 % (31390)Memory used [KB]: 2131
% 0.37/0.59 % (31390)Time elapsed: 0.026 s
% 0.37/0.59 % (31390)Instructions burned: 83 (million)
% 0.37/0.59 % (31390)------------------------------
% 0.37/0.59 % (31390)------------------------------
% 0.37/0.60 % (31397)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2997ds/42Mi)
% 0.37/0.60 % (31396)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2997ds/518Mi)
% 0.37/0.60 % (31398)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2997ds/243Mi)
% 0.37/0.60 % (31392)Instruction limit reached!
% 0.37/0.60 % (31392)------------------------------
% 0.37/0.60 % (31392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.60 % (31392)Termination reason: Unknown
% 0.37/0.60 % (31392)Termination phase: Saturation
% 0.37/0.60
% 0.37/0.60 % (31392)Memory used [KB]: 1931
% 0.37/0.60 % (31392)Time elapsed: 0.022 s
% 0.37/0.60 % (31392)Instructions burned: 55 (million)
% 0.37/0.60 % (31392)------------------------------
% 0.37/0.60 % (31392)------------------------------
% 0.37/0.60 % (31396)Refutation not found, incomplete strategy% (31396)------------------------------
% 0.37/0.60 % (31396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.60 % (31396)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.60
% 0.37/0.60 % (31396)Memory used [KB]: 1203
% 0.37/0.60 % (31396)Time elapsed: 0.005 s
% 0.37/0.60 % (31396)Instructions burned: 8 (million)
% 0.37/0.60 % (31396)------------------------------
% 0.37/0.60 % (31396)------------------------------
% 0.37/0.60 % (31397)Refutation not found, incomplete strategy% (31397)------------------------------
% 0.37/0.60 % (31397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.60 % (31397)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.60
% 0.37/0.60 % (31397)Memory used [KB]: 1258
% 0.37/0.60 % (31397)Time elapsed: 0.006 s
% 0.37/0.60 % (31397)Instructions burned: 19 (million)
% 0.37/0.60 % (31397)------------------------------
% 0.37/0.60 % (31397)------------------------------
% 0.37/0.60 % (31399)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2997ds/117Mi)
% 0.37/0.60 % (31400)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2997ds/143Mi)
% 0.37/0.60 % (31386)First to succeed.
% 0.37/0.60 % (31401)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.37/0.60 % (31393)Instruction limit reached!
% 0.37/0.60 % (31393)------------------------------
% 0.37/0.60 % (31393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.60 % (31393)Termination reason: Unknown
% 0.37/0.60 % (31393)Termination phase: Saturation
% 0.37/0.60
% 0.37/0.60 % (31393)Memory used [KB]: 1639
% 0.37/0.60 % (31393)Time elapsed: 0.027 s
% 0.37/0.60 % (31393)Instructions burned: 51 (million)
% 0.37/0.60 % (31393)------------------------------
% 0.37/0.60 % (31393)------------------------------
% 0.37/0.61 % (31399)Refutation not found, incomplete strategy% (31399)------------------------------
% 0.37/0.61 % (31399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.61 % (31399)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.61
% 0.37/0.61 % (31399)Memory used [KB]: 1193
% 0.37/0.61 % (31399)Time elapsed: 0.006 s
% 0.37/0.61 % (31399)Instructions burned: 13 (million)
% 0.37/0.61 % (31399)------------------------------
% 0.37/0.61 % (31399)------------------------------
% 0.37/0.61 % (31386)Refutation found. Thanks to Tanya!
% 0.37/0.61 % SZS status Theorem for Vampire---4
% 0.37/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.37/0.61 % (31386)------------------------------
% 0.37/0.61 % (31386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.37/0.61 % (31386)Termination reason: Refutation
% 0.37/0.61
% 0.37/0.61 % (31386)Memory used [KB]: 1687
% 0.37/0.61 % (31386)Time elapsed: 0.039 s
% 0.37/0.61 % (31386)Instructions burned: 80 (million)
% 0.37/0.61 % (31386)------------------------------
% 0.37/0.61 % (31386)------------------------------
% 0.37/0.61 % (31380)Success in time 0.305 s
% 0.37/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------