TSTP Solution File: SEU299+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.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 18:28:30 EDT 2022
% Result : Theorem 2.41s 0.68s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 43
% Syntax : Number of formulae : 253 ( 2 unt; 0 def)
% Number of atoms : 1505 ( 305 equ)
% Maximal formula atoms : 34 ( 5 avg)
% Number of connectives : 1993 ( 741 ~; 885 |; 286 &)
% ( 31 <=>; 47 =>; 0 <=; 3 <~>)
% Maximal formula depth : 25 ( 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 : 571 ( 444 !; 127 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1138,plain,
$false,
inference(avatar_sat_refutation,[],[f469,f538,f585,f616,f620,f622,f625,f630,f632,f637,f710,f816,f818,f820,f821,f839,f846,f936,f1020,f1023,f1027,f1028,f1046,f1085,f1087,f1137]) ).
fof(f1137,plain,
( spl41_50
| spl41_28
| ~ spl41_32
| spl41_38
| ~ spl41_84 ),
inference(avatar_split_clause,[],[f1136,f1083,f634,f582,f532,f708]) ).
fof(f708,plain,
( spl41_50
<=> ! [X0] :
( ~ in(sK22(sK28(sK21)),succ(X0))
| sP2(X0,sK22(sK28(sK21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f532,plain,
( spl41_28
<=> in(sK22(sK28(sK21)),sK28(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f582,plain,
( spl41_32
<=> ordinal(sK22(sK28(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f634,plain,
( spl41_38
<=> sP2(sK21,sK22(sK28(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f1083,plain,
( spl41_84
<=> ! [X0] :
( ~ element(sK29(sK22(sK28(sK21))),powerset(powerset(sK22(X0))))
| in(sK22(X0),X0)
| sP2(sK21,sK22(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f1136,plain,
( ! [X0] :
( ~ in(sK22(sK28(sK21)),succ(X0))
| sP2(X0,sK22(sK28(sK21))) )
| spl41_28
| ~ spl41_32
| spl41_38
| ~ spl41_84 ),
inference(subsumption_resolution,[],[f1135,f583]) ).
fof(f583,plain,
( ordinal(sK22(sK28(sK21)))
| ~ spl41_32 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f1135,plain,
( ! [X0] :
( ~ ordinal(sK22(sK28(sK21)))
| sP2(X0,sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X0)) )
| spl41_28
| spl41_38
| ~ spl41_84 ),
inference(subsumption_resolution,[],[f1134,f635]) ).
fof(f635,plain,
( ~ sP2(sK21,sK22(sK28(sK21)))
| spl41_38 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f1134,plain,
( ! [X0] :
( sP2(sK21,sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X0))
| sP2(X0,sK22(sK28(sK21)))
| ~ ordinal(sK22(sK28(sK21))) )
| spl41_28
| ~ spl41_84 ),
inference(subsumption_resolution,[],[f1133,f533]) ).
fof(f533,plain,
( ~ in(sK22(sK28(sK21)),sK28(sK21))
| spl41_28 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f1133,plain,
( ! [X0] :
( sP2(X0,sK22(sK28(sK21)))
| in(sK22(sK28(sK21)),sK28(sK21))
| ~ ordinal(sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X0))
| sP2(sK21,sK22(sK28(sK21))) )
| ~ spl41_84 ),
inference(resolution,[],[f1084,f313]) ).
fof(f313,plain,
! [X3,X0] :
( element(sK29(X3),powerset(powerset(X3)))
| sP2(X0,X3)
| ~ ordinal(X3)
| ~ in(X3,succ(X0)) ),
inference(equality_resolution,[],[f312]) ).
fof(f312,plain,
! [X2,X3,X0] :
( sP2(X0,X2)
| ~ in(X2,succ(X0))
| element(sK29(X3),powerset(powerset(X3)))
| ~ ordinal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f290]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1)
| ~ in(X2,succ(X0))
| X1 != X2
| element(sK29(X3),powerset(powerset(X3)))
| ~ ordinal(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( ~ in(X2,succ(X0))
| X1 != X2
| ! [X3] :
( ( in(X3,omega)
& element(sK29(X3),powerset(powerset(X3)))
& empty_set != sK29(X3)
& ! [X5] :
( ( subset(X5,sK30(X3,X5))
& in(sK30(X3,X5),sK29(X3))
& sK30(X3,X5) != X5 )
| ~ in(X5,sK29(X3)) ) )
| ~ ordinal(X3)
| X1 != X3 ) ) )
& ( ( in(sK31(X0,X1),succ(X0))
& sK31(X0,X1) = X1
& ( ~ in(sK32(X1),omega)
| ! [X9] :
( ~ element(X9,powerset(powerset(sK32(X1))))
| empty_set = X9
| ( ! [X11] :
( ~ subset(sK33(X9),X11)
| ~ in(X11,X9)
| sK33(X9) = X11 )
& in(sK33(X9),X9) ) ) )
& ordinal(sK32(X1))
& sK32(X1) = X1 )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33])],[f144,f149,f148,f147,f146,f145]) ).
fof(f145,plain,
! [X3] :
( ? [X4] :
( element(X4,powerset(powerset(X3)))
& empty_set != X4
& ! [X5] :
( ? [X6] :
( subset(X5,X6)
& in(X6,X4)
& X5 != X6 )
| ~ in(X5,X4) ) )
=> ( element(sK29(X3),powerset(powerset(X3)))
& empty_set != sK29(X3)
& ! [X5] :
( ? [X6] :
( subset(X5,X6)
& in(X6,sK29(X3))
& X5 != X6 )
| ~ in(X5,sK29(X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X3,X5] :
( ? [X6] :
( subset(X5,X6)
& in(X6,sK29(X3))
& X5 != X6 )
=> ( subset(X5,sK30(X3,X5))
& in(sK30(X3,X5),sK29(X3))
& sK30(X3,X5) != X5 ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X7] :
( in(X7,succ(X0))
& X1 = X7
& ? [X8] :
( ( ~ in(X8,omega)
| ! [X9] :
( ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) ) ) )
& ordinal(X8)
& X1 = X8 ) )
=> ( in(sK31(X0,X1),succ(X0))
& sK31(X0,X1) = X1
& ? [X8] :
( ( ~ in(X8,omega)
| ! [X9] :
( ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) ) ) )
& ordinal(X8)
& X1 = X8 ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X1] :
( ? [X8] :
( ( ~ in(X8,omega)
| ! [X9] :
( ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) ) ) )
& ordinal(X8)
& X1 = X8 )
=> ( ( ~ in(sK32(X1),omega)
| ! [X9] :
( ~ element(X9,powerset(powerset(sK32(X1))))
| empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) ) ) )
& ordinal(sK32(X1))
& sK32(X1) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X9] :
( ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) )
=> ( ! [X11] :
( ~ subset(sK33(X9),X11)
| ~ in(X11,X9)
| sK33(X9) = X11 )
& in(sK33(X9),X9) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( ~ in(X2,succ(X0))
| X1 != X2
| ! [X3] :
( ( in(X3,omega)
& ? [X4] :
( element(X4,powerset(powerset(X3)))
& empty_set != X4
& ! [X5] :
( ? [X6] :
( subset(X5,X6)
& in(X6,X4)
& X5 != X6 )
| ~ in(X5,X4) ) ) )
| ~ ordinal(X3)
| X1 != X3 ) ) )
& ( ? [X7] :
( in(X7,succ(X0))
& X1 = X7
& ? [X8] :
( ( ~ in(X8,omega)
| ! [X9] :
( ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) ) ) )
& ordinal(X8)
& X1 = X8 ) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0,X13] :
( ( sP2(X0,X13)
| ! [X14] :
( ~ in(X14,succ(X0))
| X13 != X14
| ! [X15] :
( ( in(X15,omega)
& ? [X16] :
( element(X16,powerset(powerset(X15)))
& empty_set != X16
& ! [X17] :
( ? [X18] :
( subset(X17,X18)
& in(X18,X16)
& X17 != X18 )
| ~ in(X17,X16) ) ) )
| ~ ordinal(X15)
| X13 != X15 ) ) )
& ( ? [X14] :
( in(X14,succ(X0))
& X13 = X14
& ? [X15] :
( ( ~ in(X15,omega)
| ! [X16] :
( ~ element(X16,powerset(powerset(X15)))
| empty_set = X16
| ? [X17] :
( ! [X18] :
( ~ subset(X17,X18)
| ~ in(X18,X16)
| X17 = X18 )
& in(X17,X16) ) ) )
& ordinal(X15)
& X13 = X15 ) )
| ~ sP2(X0,X13) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X13] :
( sP2(X0,X13)
<=> ? [X14] :
( in(X14,succ(X0))
& X13 = X14
& ? [X15] :
( ( ~ in(X15,omega)
| ! [X16] :
( ~ element(X16,powerset(powerset(X15)))
| empty_set = X16
| ? [X17] :
( ! [X18] :
( ~ subset(X17,X18)
| ~ in(X18,X16)
| X17 = X18 )
& in(X17,X16) ) ) )
& ordinal(X15)
& X13 = X15 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1084,plain,
( ! [X0] :
( ~ element(sK29(sK22(sK28(sK21))),powerset(powerset(sK22(X0))))
| in(sK22(X0),X0)
| sP2(sK21,sK22(X0)) )
| ~ spl41_84 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1087,plain,
( spl41_83
| spl41_50
| ~ spl41_32
| ~ spl41_49 ),
inference(avatar_split_clause,[],[f1086,f704,f582,f708,f1079]) ).
fof(f1079,plain,
( spl41_83
<=> in(sK30(sK22(sK28(sK21)),sK20(sK29(sK22(sK28(sK21))))),sK29(sK22(sK28(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f704,plain,
( spl41_49
<=> in(sK20(sK29(sK22(sK28(sK21)))),sK29(sK22(sK28(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f1086,plain,
( ! [X3] :
( ~ in(sK22(sK28(sK21)),succ(X3))
| in(sK30(sK22(sK28(sK21)),sK20(sK29(sK22(sK28(sK21))))),sK29(sK22(sK28(sK21))))
| sP2(X3,sK22(sK28(sK21))) )
| ~ spl41_32
| ~ spl41_49 ),
inference(subsumption_resolution,[],[f1074,f583]) ).
fof(f1074,plain,
( ! [X3] :
( ~ ordinal(sK22(sK28(sK21)))
| in(sK30(sK22(sK28(sK21)),sK20(sK29(sK22(sK28(sK21))))),sK29(sK22(sK28(sK21))))
| sP2(X3,sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X3)) )
| ~ spl41_49 ),
inference(resolution,[],[f706,f319]) ).
fof(f319,plain,
! [X3,X0,X5] :
( ~ in(X5,sK29(X3))
| in(sK30(X3,X5),sK29(X3))
| ~ in(X3,succ(X0))
| ~ ordinal(X3)
| sP2(X0,X3) ),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X2,X3,X0,X5] :
( sP2(X0,X2)
| ~ in(X2,succ(X0))
| in(sK30(X3,X5),sK29(X3))
| ~ in(X5,sK29(X3))
| ~ ordinal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f287]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X5] :
( sP2(X0,X1)
| ~ in(X2,succ(X0))
| X1 != X2
| in(sK30(X3,X5),sK29(X3))
| ~ in(X5,sK29(X3))
| ~ ordinal(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f706,plain,
( in(sK20(sK29(sK22(sK28(sK21)))),sK29(sK22(sK28(sK21))))
| ~ spl41_49 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f1085,plain,
( ~ spl41_83
| spl41_84
| spl41_50
| ~ spl41_32
| spl41_48
| ~ spl41_49 ),
inference(avatar_split_clause,[],[f1077,f704,f700,f582,f708,f1083,f1079]) ).
fof(f700,plain,
( spl41_48
<=> empty_set = sK29(sK22(sK28(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f1077,plain,
( ! [X0,X1] :
( sP2(X1,sK22(sK28(sK21)))
| ~ element(sK29(sK22(sK28(sK21))),powerset(powerset(sK22(X0))))
| ~ in(sK22(sK28(sK21)),succ(X1))
| ~ in(sK30(sK22(sK28(sK21)),sK20(sK29(sK22(sK28(sK21))))),sK29(sK22(sK28(sK21))))
| sP2(sK21,sK22(X0))
| in(sK22(X0),X0) )
| ~ spl41_32
| spl41_48
| ~ spl41_49 ),
inference(subsumption_resolution,[],[f1076,f701]) ).
fof(f701,plain,
( empty_set != sK29(sK22(sK28(sK21)))
| spl41_48 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f1076,plain,
( ! [X0,X1] :
( ~ in(sK30(sK22(sK28(sK21)),sK20(sK29(sK22(sK28(sK21))))),sK29(sK22(sK28(sK21))))
| sP2(sK21,sK22(X0))
| empty_set = sK29(sK22(sK28(sK21)))
| in(sK22(X0),X0)
| ~ in(sK22(sK28(sK21)),succ(X1))
| sP2(X1,sK22(sK28(sK21)))
| ~ element(sK29(sK22(sK28(sK21))),powerset(powerset(sK22(X0)))) )
| ~ spl41_32
| ~ spl41_49 ),
inference(subsumption_resolution,[],[f1072,f583]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ ordinal(sK22(sK28(sK21)))
| in(sK22(X0),X0)
| empty_set = sK29(sK22(sK28(sK21)))
| sP2(sK21,sK22(X0))
| sP2(X1,sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X1))
| ~ in(sK30(sK22(sK28(sK21)),sK20(sK29(sK22(sK28(sK21))))),sK29(sK22(sK28(sK21))))
| ~ element(sK29(sK22(sK28(sK21))),powerset(powerset(sK22(X0)))) )
| ~ spl41_49 ),
inference(resolution,[],[f706,f526]) ).
fof(f526,plain,
! [X2,X3,X4,X5] :
( ~ in(sK20(X2),sK29(X4))
| sP2(sK21,sK22(X3))
| ~ in(sK30(X4,sK20(X2)),X2)
| ~ in(X4,succ(X5))
| sP2(X5,X4)
| in(sK22(X3),X3)
| empty_set = X2
| ~ element(X2,powerset(powerset(sK22(X3))))
| ~ ordinal(X4) ),
inference(subsumption_resolution,[],[f523,f321]) ).
fof(f321,plain,
! [X3,X0,X5] :
( ~ in(X5,sK29(X3))
| sP2(X0,X3)
| ~ in(X3,succ(X0))
| ~ ordinal(X3)
| sK30(X3,X5) != X5 ),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X2,X3,X0,X5] :
( sP2(X0,X2)
| ~ in(X2,succ(X0))
| sK30(X3,X5) != X5
| ~ in(X5,sK29(X3))
| ~ ordinal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f286]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X5] :
( sP2(X0,X1)
| ~ in(X2,succ(X0))
| X1 != X2
| sK30(X3,X5) != X5
| ~ in(X5,sK29(X3))
| ~ ordinal(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f523,plain,
! [X2,X3,X4,X5] :
( sP2(sK21,sK22(X3))
| sK20(X2) = sK30(X4,sK20(X2))
| ~ ordinal(X4)
| ~ in(X4,succ(X5))
| in(sK22(X3),X3)
| empty_set = X2
| ~ in(sK20(X2),sK29(X4))
| ~ element(X2,powerset(powerset(sK22(X3))))
| ~ in(sK30(X4,sK20(X2)),X2)
| sP2(X5,X4) ),
inference(resolution,[],[f515,f317]) ).
fof(f317,plain,
! [X3,X0,X5] :
( subset(X5,sK30(X3,X5))
| ~ in(X5,sK29(X3))
| ~ in(X3,succ(X0))
| ~ ordinal(X3)
| sP2(X0,X3) ),
inference(equality_resolution,[],[f316]) ).
fof(f316,plain,
! [X2,X3,X0,X5] :
( sP2(X0,X2)
| ~ in(X2,succ(X0))
| subset(X5,sK30(X3,X5))
| ~ in(X5,sK29(X3))
| ~ ordinal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f288]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X5] :
( sP2(X0,X1)
| ~ in(X2,succ(X0))
| X1 != X2
| subset(X5,sK30(X3,X5))
| ~ in(X5,sK29(X3))
| ~ ordinal(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f515,plain,
! [X2,X0,X1] :
( ~ subset(sK20(X0),X2)
| ~ element(X0,powerset(powerset(sK22(X1))))
| sP2(sK21,sK22(X1))
| ~ in(X2,X0)
| in(sK22(X1),X1)
| sK20(X0) = X2
| empty_set = X0 ),
inference(duplicate_literal_removal,[],[f514]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| in(sK22(X1),X1)
| ~ element(X0,powerset(powerset(sK22(X1))))
| ~ subset(sK20(X0),X2)
| sP2(sK21,sK22(X1))
| sK20(X0) = X2
| in(sK22(X1),X1)
| empty_set = X0 ),
inference(resolution,[],[f397,f235]) ).
fof(f235,plain,
! [X1] :
( sP0(sK22(X1),sK21)
| in(sK22(X1),X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ordinal(sK21)
& ! [X1] :
( ( ~ sP0(sK22(X1),sK21)
| ~ in(sK22(X1),X1) )
& ( sP0(sK22(X1),sK21)
| in(sK22(X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f125,f127,f126]) ).
fof(f126,plain,
( ? [X0] :
( ordinal(X0)
& ! [X1] :
? [X2] :
( ( ~ sP0(X2,X0)
| ~ in(X2,X1) )
& ( sP0(X2,X0)
| in(X2,X1) ) ) )
=> ( ordinal(sK21)
& ! [X1] :
? [X2] :
( ( ~ sP0(X2,sK21)
| ~ in(X2,X1) )
& ( sP0(X2,sK21)
| in(X2,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X1] :
( ? [X2] :
( ( ~ sP0(X2,sK21)
| ~ in(X2,X1) )
& ( sP0(X2,sK21)
| in(X2,X1) ) )
=> ( ( ~ sP0(sK22(X1),sK21)
| ~ in(sK22(X1),X1) )
& ( sP0(sK22(X1),sK21)
| in(sK22(X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0] :
( ordinal(X0)
& ! [X1] :
? [X2] :
( ( ~ sP0(X2,X0)
| ~ in(X2,X1) )
& ( sP0(X2,X0)
| in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
? [X0] :
( ordinal(X0)
& ! [X1] :
? [X2] :
( in(X2,X1)
<~> sP0(X2,X0) ) ),
inference(definition_folding,[],[f73,f84]) ).
fof(f84,plain,
! [X2,X0] :
( sP0(X2,X0)
<=> ( ? [X3] :
( ordinal(X3)
& X2 = X3
& ( ~ in(X3,omega)
| ! [X4] :
( ? [X5] :
( ! [X6] :
( ~ in(X6,X4)
| ~ subset(X5,X6)
| X5 = X6 )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) ) ) )
& in(X2,succ(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f73,plain,
? [X0] :
( ordinal(X0)
& ! [X1] :
? [X2] :
( in(X2,X1)
<~> ( ? [X3] :
( ordinal(X3)
& X2 = X3
& ( ~ in(X3,omega)
| ! [X4] :
( ? [X5] :
( ! [X6] :
( ~ in(X6,X4)
| ~ subset(X5,X6)
| X5 = X6 )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) ) ) )
& in(X2,succ(X0)) ) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0] :
( ! [X1] :
? [X2] :
( ( ? [X3] :
( ( ! [X4] :
( empty_set = X4
| ? [X5] :
( ! [X6] :
( X5 = X6
| ~ in(X6,X4)
| ~ subset(X5,X6) )
& in(X5,X4) )
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& ordinal(X3)
& X2 = X3 )
& in(X2,succ(X0)) )
<~> in(X2,X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ? [X1] :
! [X2] :
( ( ? [X3] :
( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( empty_set != X4
& ! [X5] :
~ ( ! [X6] :
( ( in(X6,X4)
& subset(X5,X6) )
=> X5 = X6 )
& in(X5,X4) ) ) ) )
& ordinal(X3)
& X2 = X3 )
& in(X2,succ(X0)) )
<=> in(X2,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ordinal(X0)
=> ? [X1] :
! [X2] :
( ( ? [X3] :
( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( empty_set != X4
& ! [X5] :
~ ( ! [X6] :
( ( in(X6,X4)
& subset(X5,X6) )
=> X5 = X6 )
& in(X5,X4) ) ) ) )
& ordinal(X3)
& X2 = X3 )
& in(X2,succ(X0)) )
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e18_27__finset_1__1) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ sP0(sK22(X0),X1)
| ~ element(X3,powerset(powerset(sK22(X0))))
| in(sK22(X0),X0)
| empty_set = X3
| sP2(sK21,sK22(X0))
| ~ subset(sK20(X3),X2)
| sK20(X3) = X2
| ~ in(X2,X3) ),
inference(subsumption_resolution,[],[f396,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ordinal(sK22(X0))
| in(sK22(X0),X0)
| ~ sP0(sK22(X0),X1) ),
inference(superposition,[],[f228,f323]) ).
fof(f323,plain,
! [X1] :
( sK19(sK22(X1)) = sK22(X1)
| in(sK22(X1),X1) ),
inference(resolution,[],[f235,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK19(X0) = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ~ ordinal(X2)
| X0 != X2
| ( in(X2,omega)
& ! [X4] :
( ( in(sK18(X2,X4),sK17(X2))
& subset(X4,sK18(X2,X4))
& sK18(X2,X4) != X4 )
| ~ in(X4,sK17(X2)) )
& empty_set != sK17(X2)
& element(sK17(X2),powerset(powerset(X2))) ) )
| ~ in(X0,succ(X1)) )
& ( ( ordinal(sK19(X0))
& sK19(X0) = X0
& ( ~ in(sK19(X0),omega)
| ! [X7] :
( ( ! [X9] :
( ~ in(X9,X7)
| ~ subset(sK20(X7),X9)
| sK20(X7) = X9 )
& in(sK20(X7),X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(sK19(X0)))) ) )
& in(X0,succ(X1)) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20])],[f119,f123,f122,f121,f120]) ).
fof(f120,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ? [X5] :
( in(X5,X3)
& subset(X4,X5)
& X4 != X5 )
| ~ in(X4,X3) )
& empty_set != X3
& element(X3,powerset(powerset(X2))) )
=> ( ! [X4] :
( ? [X5] :
( in(X5,sK17(X2))
& subset(X4,X5)
& X4 != X5 )
| ~ in(X4,sK17(X2)) )
& empty_set != sK17(X2)
& element(sK17(X2),powerset(powerset(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X2,X4] :
( ? [X5] :
( in(X5,sK17(X2))
& subset(X4,X5)
& X4 != X5 )
=> ( in(sK18(X2,X4),sK17(X2))
& subset(X4,sK18(X2,X4))
& sK18(X2,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ? [X6] :
( ordinal(X6)
& X0 = X6
& ( ~ in(X6,omega)
| ! [X7] :
( ? [X8] :
( ! [X9] :
( ~ in(X9,X7)
| ~ subset(X8,X9)
| X8 = X9 )
& in(X8,X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(X6))) ) ) )
=> ( ordinal(sK19(X0))
& sK19(X0) = X0
& ( ~ in(sK19(X0),omega)
| ! [X7] :
( ? [X8] :
( ! [X9] :
( ~ in(X9,X7)
| ~ subset(X8,X9)
| X8 = X9 )
& in(X8,X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(sK19(X0)))) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X7] :
( ? [X8] :
( ! [X9] :
( ~ in(X9,X7)
| ~ subset(X8,X9)
| X8 = X9 )
& in(X8,X7) )
=> ( ! [X9] :
( ~ in(X9,X7)
| ~ subset(sK20(X7),X9)
| sK20(X7) = X9 )
& in(sK20(X7),X7) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ~ ordinal(X2)
| X0 != X2
| ( in(X2,omega)
& ? [X3] :
( ! [X4] :
( ? [X5] :
( in(X5,X3)
& subset(X4,X5)
& X4 != X5 )
| ~ in(X4,X3) )
& empty_set != X3
& element(X3,powerset(powerset(X2))) ) ) )
| ~ in(X0,succ(X1)) )
& ( ( ? [X6] :
( ordinal(X6)
& X0 = X6
& ( ~ in(X6,omega)
| ! [X7] :
( ? [X8] :
( ! [X9] :
( ~ in(X9,X7)
| ~ subset(X8,X9)
| X8 = X9 )
& in(X8,X7) )
| empty_set = X7
| ~ element(X7,powerset(powerset(X6))) ) ) )
& in(X0,succ(X1)) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X2,X0] :
( ( sP0(X2,X0)
| ! [X3] :
( ~ ordinal(X3)
| X2 != X3
| ( in(X3,omega)
& ? [X4] :
( ! [X5] :
( ? [X6] :
( in(X6,X4)
& subset(X5,X6)
& X5 != X6 )
| ~ in(X5,X4) )
& empty_set != X4
& element(X4,powerset(powerset(X3))) ) ) )
| ~ in(X2,succ(X0)) )
& ( ( ? [X3] :
( ordinal(X3)
& X2 = X3
& ( ~ in(X3,omega)
| ! [X4] :
( ? [X5] :
( ! [X6] :
( ~ in(X6,X4)
| ~ subset(X5,X6)
| X5 = X6 )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) ) ) )
& in(X2,succ(X0)) )
| ~ sP0(X2,X0) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X2,X0] :
( ( sP0(X2,X0)
| ! [X3] :
( ~ ordinal(X3)
| X2 != X3
| ( in(X3,omega)
& ? [X4] :
( ! [X5] :
( ? [X6] :
( in(X6,X4)
& subset(X5,X6)
& X5 != X6 )
| ~ in(X5,X4) )
& empty_set != X4
& element(X4,powerset(powerset(X3))) ) ) )
| ~ in(X2,succ(X0)) )
& ( ( ? [X3] :
( ordinal(X3)
& X2 = X3
& ( ~ in(X3,omega)
| ! [X4] :
( ? [X5] :
( ! [X6] :
( ~ in(X6,X4)
| ~ subset(X5,X6)
| X5 = X6 )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(X3))) ) ) )
& in(X2,succ(X0)) )
| ~ sP0(X2,X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f228,plain,
! [X0,X1] :
( ordinal(sK19(X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( in(sK22(X0),X0)
| ~ subset(sK20(X3),X2)
| ~ ordinal(sK22(X0))
| ~ element(X3,powerset(powerset(sK22(X0))))
| empty_set = X3
| sP2(sK21,sK22(X0))
| sK20(X3) = X2
| ~ sP0(sK22(X0),X1)
| ~ in(X2,X3) ),
inference(duplicate_literal_removal,[],[f395]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( in(sK22(X0),X0)
| in(sK22(X0),X0)
| ~ ordinal(sK22(X0))
| ~ subset(sK20(X3),X2)
| ~ sP0(sK22(X0),X1)
| sK20(X3) = X2
| ~ in(X2,X3)
| empty_set = X3
| ~ element(X3,powerset(powerset(sK22(X0))))
| sP2(sK21,sK22(X0)) ),
inference(resolution,[],[f361,f325]) ).
fof(f325,plain,
! [X0] :
( in(sK22(X0),omega)
| ~ ordinal(sK22(X0))
| in(sK22(X0),X0)
| sP2(sK21,sK22(X0)) ),
inference(resolution,[],[f322,f311]) ).
fof(f311,plain,
! [X3,X0] :
( ~ in(X3,succ(X0))
| sP2(X0,X3)
| ~ ordinal(X3)
| in(X3,omega) ),
inference(equality_resolution,[],[f310]) ).
fof(f310,plain,
! [X2,X3,X0] :
( sP2(X0,X2)
| ~ in(X2,succ(X0))
| in(X3,omega)
| ~ ordinal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f291]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1)
| ~ in(X2,succ(X0))
| X1 != X2
| in(X3,omega)
| ~ ordinal(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f322,plain,
! [X0] :
( in(sK22(X0),succ(sK21))
| in(sK22(X0),X0) ),
inference(resolution,[],[f235,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f361,plain,
! [X2,X3,X4,X5] :
( ~ in(sK22(X2),omega)
| in(sK22(X2),X2)
| ~ sP0(sK22(X2),X5)
| ~ in(X4,X3)
| sK20(X3) = X4
| empty_set = X3
| ~ element(X3,powerset(powerset(sK22(X2))))
| ~ subset(sK20(X3),X4) ),
inference(superposition,[],[f226,f323]) ).
fof(f226,plain,
! [X0,X1,X9,X7] :
( ~ in(sK19(X0),omega)
| ~ element(X7,powerset(powerset(sK19(X0))))
| ~ subset(sK20(X7),X9)
| empty_set = X7
| ~ sP0(X0,X1)
| sK20(X7) = X9
| ~ in(X9,X7) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1046,plain,
( spl41_50
| ~ spl41_32
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f1045,f700,f582,f708]) ).
fof(f1045,plain,
( ! [X3] :
( ~ in(sK22(sK28(sK21)),succ(X3))
| sP2(X3,sK22(sK28(sK21))) )
| ~ spl41_32
| ~ spl41_48 ),
inference(subsumption_resolution,[],[f1044,f583]) ).
fof(f1044,plain,
( ! [X3] :
( sP2(X3,sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X3))
| ~ ordinal(sK22(sK28(sK21))) )
| ~ spl41_48 ),
inference(trivial_inequality_removal,[],[f1040]) ).
fof(f1040,plain,
( ! [X3] :
( empty_set != empty_set
| sP2(X3,sK22(sK28(sK21)))
| ~ ordinal(sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X3)) )
| ~ spl41_48 ),
inference(superposition,[],[f315,f702]) ).
fof(f702,plain,
( empty_set = sK29(sK22(sK28(sK21)))
| ~ spl41_48 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f315,plain,
! [X3,X0] :
( empty_set != sK29(X3)
| ~ ordinal(X3)
| sP2(X0,X3)
| ~ in(X3,succ(X0)) ),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X3,X0] :
( sP2(X0,X2)
| ~ in(X2,succ(X0))
| empty_set != sK29(X3)
| ~ ordinal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f289]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1)
| ~ in(X2,succ(X0))
| X1 != X2
| empty_set != sK29(X3)
| ~ ordinal(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f1028,plain,
( spl41_28
| spl41_38
| ~ spl41_50 ),
inference(avatar_split_clause,[],[f912,f708,f634,f532]) ).
fof(f912,plain,
( sP2(sK21,sK22(sK28(sK21)))
| in(sK22(sK28(sK21)),sK28(sK21))
| ~ spl41_50 ),
inference(resolution,[],[f709,f322]) ).
fof(f709,plain,
( ! [X0] :
( ~ in(sK22(sK28(sK21)),succ(X0))
| sP2(X0,sK22(sK28(sK21))) )
| ~ spl41_50 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f1027,plain,
( spl41_30
| ~ spl41_38
| ~ spl41_42 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1026,plain,
( $false
| spl41_30
| ~ spl41_38
| ~ spl41_42 ),
inference(subsumption_resolution,[],[f1024,f543]) ).
fof(f543,plain,
( ~ sP0(sK22(sK28(sK21)),sK21)
| spl41_30 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl41_30
<=> sP0(sK22(sK28(sK21)),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f1024,plain,
( sP0(sK22(sK28(sK21)),sK21)
| ~ spl41_38
| ~ spl41_42 ),
inference(resolution,[],[f673,f872]) ).
fof(f872,plain,
( in(sK22(sK28(sK21)),succ(sK21))
| ~ spl41_38 ),
inference(backward_demodulation,[],[f869,f870]) ).
fof(f870,plain,
( sK22(sK28(sK21)) = sK31(sK21,sK22(sK28(sK21)))
| ~ spl41_38 ),
inference(resolution,[],[f636,f284]) ).
fof(f284,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sK31(X0,X1) = X1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f636,plain,
( sP2(sK21,sK22(sK28(sK21)))
| ~ spl41_38 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f869,plain,
( in(sK31(sK21,sK22(sK28(sK21))),succ(sK21))
| ~ spl41_38 ),
inference(resolution,[],[f636,f285]) ).
fof(f285,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| in(sK31(X0,X1),succ(X0)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f673,plain,
( ! [X1] :
( ~ in(sK22(sK28(sK21)),succ(X1))
| sP0(sK22(sK28(sK21)),X1) )
| ~ spl41_42 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl41_42
<=> ! [X1] :
( ~ in(sK22(sK28(sK21)),succ(X1))
| sP0(sK22(sK28(sK21)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f1023,plain,
( spl41_42
| ~ spl41_32
| spl41_79 ),
inference(avatar_split_clause,[],[f1022,f1017,f582,f672]) ).
fof(f1017,plain,
( spl41_79
<=> element(sK17(sK22(sK28(sK21))),powerset(powerset(sK22(sK28(sK21))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f1022,plain,
( ! [X0] :
( sP0(sK22(sK28(sK21)),X0)
| ~ in(sK22(sK28(sK21)),succ(X0)) )
| ~ spl41_32
| spl41_79 ),
inference(subsumption_resolution,[],[f1021,f583]) ).
fof(f1021,plain,
( ! [X0] :
( sP0(sK22(sK28(sK21)),X0)
| ~ ordinal(sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X0)) )
| spl41_79 ),
inference(resolution,[],[f1019,f309]) ).
fof(f309,plain,
! [X2,X1] :
( element(sK17(X2),powerset(powerset(X2)))
| ~ in(X2,succ(X1))
| sP0(X2,X1)
| ~ ordinal(X2) ),
inference(equality_resolution,[],[f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| ~ ordinal(X2)
| X0 != X2
| element(sK17(X2),powerset(powerset(X2)))
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1019,plain,
( ~ element(sK17(sK22(sK28(sK21))),powerset(powerset(sK22(sK28(sK21)))))
| spl41_79 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1020,plain,
( spl41_42
| ~ spl41_79
| ~ spl41_32
| ~ spl41_36
| spl41_41
| ~ spl41_53
| ~ spl41_70 ),
inference(avatar_split_clause,[],[f1015,f933,f756,f668,f614,f582,f1017,f672]) ).
fof(f614,plain,
( spl41_36
<=> ! [X2,X3] :
( ~ element(X2,powerset(powerset(sK22(sK28(sK21)))))
| ~ in(X3,X2)
| ~ subset(sK33(X2),X3)
| sK33(X2) = X3
| empty_set = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f668,plain,
( spl41_41
<=> empty_set = sK17(sK22(sK28(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f756,plain,
( spl41_53
<=> in(sK33(sK17(sK22(sK28(sK21)))),sK17(sK22(sK28(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f933,plain,
( spl41_70
<=> in(sK18(sK22(sK28(sK21)),sK33(sK17(sK22(sK28(sK21))))),sK17(sK22(sK28(sK21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f1015,plain,
( ! [X0] :
( ~ element(sK17(sK22(sK28(sK21))),powerset(powerset(sK22(sK28(sK21)))))
| sP0(sK22(sK28(sK21)),X0)
| ~ in(sK22(sK28(sK21)),succ(X0)) )
| ~ spl41_32
| ~ spl41_36
| spl41_41
| ~ spl41_53
| ~ spl41_70 ),
inference(subsumption_resolution,[],[f1014,f583]) ).
fof(f1014,plain,
( ! [X0] :
( ~ in(sK22(sK28(sK21)),succ(X0))
| sP0(sK22(sK28(sK21)),X0)
| ~ element(sK17(sK22(sK28(sK21))),powerset(powerset(sK22(sK28(sK21)))))
| ~ ordinal(sK22(sK28(sK21))) )
| ~ spl41_36
| spl41_41
| ~ spl41_53
| ~ spl41_70 ),
inference(subsumption_resolution,[],[f1013,f669]) ).
fof(f669,plain,
( empty_set != sK17(sK22(sK28(sK21)))
| spl41_41 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f1013,plain,
( ! [X0] :
( sP0(sK22(sK28(sK21)),X0)
| empty_set = sK17(sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X0))
| ~ ordinal(sK22(sK28(sK21)))
| ~ element(sK17(sK22(sK28(sK21))),powerset(powerset(sK22(sK28(sK21))))) )
| ~ spl41_36
| ~ spl41_53
| ~ spl41_70 ),
inference(subsumption_resolution,[],[f1012,f935]) ).
fof(f935,plain,
( in(sK18(sK22(sK28(sK21)),sK33(sK17(sK22(sK28(sK21))))),sK17(sK22(sK28(sK21))))
| ~ spl41_70 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1012,plain,
( ! [X0] :
( ~ in(sK22(sK28(sK21)),succ(X0))
| ~ in(sK18(sK22(sK28(sK21)),sK33(sK17(sK22(sK28(sK21))))),sK17(sK22(sK28(sK21))))
| empty_set = sK17(sK22(sK28(sK21)))
| ~ ordinal(sK22(sK28(sK21)))
| ~ element(sK17(sK22(sK28(sK21))),powerset(powerset(sK22(sK28(sK21)))))
| sP0(sK22(sK28(sK21)),X0) )
| ~ spl41_36
| ~ spl41_53 ),
inference(resolution,[],[f975,f758]) ).
fof(f758,plain,
( in(sK33(sK17(sK22(sK28(sK21)))),sK17(sK22(sK28(sK21))))
| ~ spl41_53 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f975,plain,
( ! [X6,X4,X5] :
( ~ in(sK33(X4),sK17(X5))
| empty_set = X4
| sP0(X5,X6)
| ~ ordinal(X5)
| ~ element(X4,powerset(powerset(sK22(sK28(sK21)))))
| ~ in(sK18(X5,sK33(X4)),X4)
| ~ in(X5,succ(X6)) )
| ~ spl41_36 ),
inference(subsumption_resolution,[],[f974,f307]) ).
fof(f307,plain,
! [X2,X1,X4] :
( ~ in(X4,sK17(X2))
| ~ ordinal(X2)
| sP0(X2,X1)
| sK18(X2,X4) != X4
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f231]) ).
fof(f231,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1)
| ~ ordinal(X2)
| X0 != X2
| sK18(X2,X4) != X4
| ~ in(X4,sK17(X2))
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f974,plain,
( ! [X6,X4,X5] :
( ~ element(X4,powerset(powerset(sK22(sK28(sK21)))))
| ~ in(sK18(X5,sK33(X4)),X4)
| sK33(X4) = sK18(X5,sK33(X4))
| ~ in(sK33(X4),sK17(X5))
| ~ in(X5,succ(X6))
| ~ ordinal(X5)
| sP0(X5,X6)
| empty_set = X4 )
| ~ spl41_36 ),
inference(resolution,[],[f615,f306]) ).
fof(f306,plain,
! [X2,X1,X4] :
( subset(X4,sK18(X2,X4))
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1))
| ~ in(X4,sK17(X2)) ),
inference(equality_resolution,[],[f232]) ).
fof(f232,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1)
| ~ ordinal(X2)
| X0 != X2
| subset(X4,sK18(X2,X4))
| ~ in(X4,sK17(X2))
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f615,plain,
( ! [X2,X3] :
( ~ subset(sK33(X2),X3)
| empty_set = X2
| ~ in(X3,X2)
| sK33(X2) = X3
| ~ element(X2,powerset(powerset(sK22(sK28(sK21))))) )
| ~ spl41_36 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f936,plain,
( spl41_42
| spl41_70
| ~ spl41_32
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f931,f756,f582,f933,f672]) ).
fof(f931,plain,
( ! [X0] :
( in(sK18(sK22(sK28(sK21)),sK33(sK17(sK22(sK28(sK21))))),sK17(sK22(sK28(sK21))))
| ~ in(sK22(sK28(sK21)),succ(X0))
| sP0(sK22(sK28(sK21)),X0) )
| ~ spl41_32
| ~ spl41_53 ),
inference(subsumption_resolution,[],[f922,f583]) ).
fof(f922,plain,
( ! [X0] :
( sP0(sK22(sK28(sK21)),X0)
| ~ in(sK22(sK28(sK21)),succ(X0))
| ~ ordinal(sK22(sK28(sK21)))
| in(sK18(sK22(sK28(sK21)),sK33(sK17(sK22(sK28(sK21))))),sK17(sK22(sK28(sK21)))) )
| ~ spl41_53 ),
inference(resolution,[],[f758,f305]) ).
fof(f305,plain,
! [X2,X1,X4] :
( ~ in(X4,sK17(X2))
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1))
| in(sK18(X2,X4),sK17(X2)) ),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1)
| ~ ordinal(X2)
| X0 != X2
| in(sK18(X2,X4),sK17(X2))
| ~ in(X4,sK17(X2))
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f846,plain,
( spl41_64
| spl41_28
| spl41_32 ),
inference(avatar_split_clause,[],[f845,f582,f532,f830]) ).
fof(f830,plain,
( spl41_64
<=> ! [X0] : ~ sP0(sK22(sK28(sK21)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f845,plain,
( ! [X2] : ~ sP0(sK22(sK28(sK21)),X2)
| spl41_28
| spl41_32 ),
inference(subsumption_resolution,[],[f841,f533]) ).
fof(f841,plain,
( ! [X2] :
( ~ sP0(sK22(sK28(sK21)),X2)
| in(sK22(sK28(sK21)),sK28(sK21)) )
| spl41_32 ),
inference(resolution,[],[f584,f360]) ).
fof(f584,plain,
( ~ ordinal(sK22(sK28(sK21)))
| spl41_32 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f839,plain,
( ~ spl41_30
| ~ spl41_64 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl41_30
| ~ spl41_64 ),
inference(subsumption_resolution,[],[f542,f831]) ).
fof(f831,plain,
( ! [X0] : ~ sP0(sK22(sK28(sK21)),X0)
| ~ spl41_64 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f542,plain,
( sP0(sK22(sK28(sK21)),sK21)
| ~ spl41_30 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f821,plain,
( spl41_28
| spl41_30 ),
inference(avatar_split_clause,[],[f639,f541,f532]) ).
fof(f639,plain,
( in(sK22(sK28(sK21)),sK28(sK21))
| spl41_30 ),
inference(resolution,[],[f543,f235]) ).
fof(f820,plain,
( spl41_53
| spl41_42
| ~ spl41_32
| ~ spl41_37 ),
inference(avatar_split_clause,[],[f819,f618,f582,f672,f756]) ).
fof(f618,plain,
( spl41_37
<=> ! [X0] :
( ~ element(X0,powerset(powerset(sK22(sK28(sK21)))))
| empty_set = X0
| in(sK33(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f819,plain,
( ! [X1] :
( ~ ordinal(sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X1))
| sP0(sK22(sK28(sK21)),X1)
| in(sK33(sK17(sK22(sK28(sK21)))),sK17(sK22(sK28(sK21)))) )
| ~ spl41_37 ),
inference(subsumption_resolution,[],[f749,f308]) ).
fof(f308,plain,
! [X2,X1] :
( empty_set != sK17(X2)
| sP0(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X1)) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| ~ ordinal(X2)
| X0 != X2
| empty_set != sK17(X2)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f749,plain,
( ! [X1] :
( sP0(sK22(sK28(sK21)),X1)
| empty_set = sK17(sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X1))
| in(sK33(sK17(sK22(sK28(sK21)))),sK17(sK22(sK28(sK21))))
| ~ ordinal(sK22(sK28(sK21))) )
| ~ spl41_37 ),
inference(resolution,[],[f619,f309]) ).
fof(f619,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK22(sK28(sK21)))))
| empty_set = X0
| in(sK33(X0),X0) )
| ~ spl41_37 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f818,plain,
( spl41_28
| ~ spl41_14
| ~ spl41_38 ),
inference(avatar_split_clause,[],[f817,f634,f425,f532]) ).
fof(f425,plain,
( spl41_14
<=> sP3(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f817,plain,
( in(sK22(sK28(sK21)),sK28(sK21))
| ~ spl41_14
| ~ spl41_38 ),
inference(subsumption_resolution,[],[f641,f426]) ).
fof(f426,plain,
( sP3(sK21)
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f641,plain,
( ~ sP3(sK21)
| in(sK22(sK28(sK21)),sK28(sK21))
| ~ spl41_38 ),
inference(resolution,[],[f636,f278]) ).
fof(f278,plain,
! [X2,X0] :
( ~ sP2(X0,X2)
| ~ sP3(X0)
| in(X2,sK28(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X2] :
( ( sP2(X0,X2)
| ~ in(X2,sK28(X0)) )
& ( in(X2,sK28(X0))
| ~ sP2(X0,X2) ) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f140,f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( sP2(X0,X2)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ~ sP2(X0,X2) ) )
=> ! [X2] :
( ( sP2(X0,X2)
| ~ in(X2,sK28(X0)) )
& ( in(X2,sK28(X0))
| ~ sP2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( sP2(X0,X2)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ~ sP2(X0,X2) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ? [X12] :
! [X13] :
( ( sP2(X0,X13)
| ~ in(X13,X12) )
& ( in(X13,X12)
| ~ sP2(X0,X13) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ? [X12] :
! [X13] :
( sP2(X0,X13)
<=> in(X13,X12) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f816,plain,
( spl41_42
| ~ spl41_32
| ~ spl41_41 ),
inference(avatar_split_clause,[],[f815,f668,f582,f672]) ).
fof(f815,plain,
( ! [X6] :
( ~ in(sK22(sK28(sK21)),succ(X6))
| sP0(sK22(sK28(sK21)),X6) )
| ~ spl41_32
| ~ spl41_41 ),
inference(subsumption_resolution,[],[f793,f583]) ).
fof(f793,plain,
( ! [X6] :
( ~ in(sK22(sK28(sK21)),succ(X6))
| ~ ordinal(sK22(sK28(sK21)))
| sP0(sK22(sK28(sK21)),X6) )
| ~ spl41_41 ),
inference(trivial_inequality_removal,[],[f791]) ).
fof(f791,plain,
( ! [X6] :
( empty_set != empty_set
| ~ in(sK22(sK28(sK21)),succ(X6))
| ~ ordinal(sK22(sK28(sK21)))
| sP0(sK22(sK28(sK21)),X6) )
| ~ spl41_41 ),
inference(superposition,[],[f308,f670]) ).
fof(f670,plain,
( empty_set = sK17(sK22(sK28(sK21)))
| ~ spl41_41 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f710,plain,
( spl41_48
| spl41_49
| spl41_50
| ~ spl41_29
| ~ spl41_32 ),
inference(avatar_split_clause,[],[f698,f582,f536,f708,f704,f700]) ).
fof(f536,plain,
( spl41_29
<=> ! [X0] :
( in(sK20(X0),X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK22(sK28(sK21))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f698,plain,
( ! [X0] :
( ~ in(sK22(sK28(sK21)),succ(X0))
| sP2(X0,sK22(sK28(sK21)))
| in(sK20(sK29(sK22(sK28(sK21)))),sK29(sK22(sK28(sK21))))
| empty_set = sK29(sK22(sK28(sK21))) )
| ~ spl41_29
| ~ spl41_32 ),
inference(subsumption_resolution,[],[f651,f583]) ).
fof(f651,plain,
( ! [X0] :
( empty_set = sK29(sK22(sK28(sK21)))
| ~ ordinal(sK22(sK28(sK21)))
| in(sK20(sK29(sK22(sK28(sK21)))),sK29(sK22(sK28(sK21))))
| sP2(X0,sK22(sK28(sK21)))
| ~ in(sK22(sK28(sK21)),succ(X0)) )
| ~ spl41_29 ),
inference(resolution,[],[f537,f313]) ).
fof(f537,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK22(sK28(sK21)))))
| empty_set = X0
| in(sK20(X0),X0) )
| ~ spl41_29 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f637,plain,
( ~ spl41_14
| spl41_38
| ~ spl41_28 ),
inference(avatar_split_clause,[],[f562,f532,f634,f425]) ).
fof(f562,plain,
( sP2(sK21,sK22(sK28(sK21)))
| ~ sP3(sK21)
| ~ spl41_28 ),
inference(resolution,[],[f534,f279]) ).
fof(f279,plain,
! [X2,X0] :
( ~ in(X2,sK28(X0))
| ~ sP3(X0)
| sP2(X0,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f534,plain,
( in(sK22(sK28(sK21)),sK28(sK21))
| ~ spl41_28 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f632,plain,
( ~ spl41_30
| ~ spl41_28 ),
inference(avatar_split_clause,[],[f561,f532,f541]) ).
fof(f561,plain,
( ~ sP0(sK22(sK28(sK21)),sK21)
| ~ spl41_28 ),
inference(resolution,[],[f534,f236]) ).
fof(f236,plain,
! [X1] :
( ~ in(sK22(X1),X1)
| ~ sP0(sK22(X1),sK21) ),
inference(cnf_transformation,[],[f128]) ).
fof(f630,plain,
( spl41_14
| ~ spl41_16 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| spl41_14
| ~ spl41_16 ),
inference(subsumption_resolution,[],[f626,f237]) ).
fof(f237,plain,
ordinal(sK21),
inference(cnf_transformation,[],[f128]) ).
fof(f626,plain,
( ~ ordinal(sK21)
| spl41_14
| ~ spl41_16 ),
inference(resolution,[],[f427,f443]) ).
fof(f443,plain,
( ! [X0] :
( sP3(X0)
| ~ ordinal(X0) )
| ~ spl41_16 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl41_16
<=> ! [X0] :
( ~ ordinal(X0)
| sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f427,plain,
( ~ sP3(sK21)
| spl41_14 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f625,plain,
( ~ spl41_14
| ~ spl41_28
| ~ spl41_35 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl41_14
| ~ spl41_28
| ~ spl41_35 ),
inference(resolution,[],[f612,f564]) ).
fof(f564,plain,
( sP2(sK21,sK22(sK28(sK21)))
| ~ spl41_14
| ~ spl41_28 ),
inference(subsumption_resolution,[],[f562,f426]) ).
fof(f612,plain,
( ! [X4] : ~ sP2(X4,sK22(sK28(sK21)))
| ~ spl41_35 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl41_35
<=> ! [X4] : ~ sP2(X4,sK22(sK28(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f622,plain,
( spl41_35
| ~ spl41_14
| ~ spl41_28
| spl41_32 ),
inference(avatar_split_clause,[],[f621,f582,f532,f425,f611]) ).
fof(f621,plain,
( ! [X5] : ~ sP2(X5,sK22(sK28(sK21)))
| ~ spl41_14
| ~ spl41_28
| spl41_32 ),
inference(subsumption_resolution,[],[f609,f584]) ).
fof(f609,plain,
( ! [X5] :
( ordinal(sK22(sK28(sK21)))
| ~ sP2(X5,sK22(sK28(sK21))) )
| ~ spl41_14
| ~ spl41_28 ),
inference(superposition,[],[f281,f569]) ).
fof(f569,plain,
( sK22(sK28(sK21)) = sK32(sK22(sK28(sK21)))
| ~ spl41_14
| ~ spl41_28 ),
inference(resolution,[],[f564,f280]) ).
fof(f280,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sK32(X1) = X1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f281,plain,
! [X0,X1] :
( ordinal(sK32(X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f620,plain,
( spl41_35
| ~ spl41_31
| spl41_37
| ~ spl41_14
| ~ spl41_28 ),
inference(avatar_split_clause,[],[f607,f532,f425,f618,f578,f611]) ).
fof(f578,plain,
( spl41_31
<=> in(sK22(sK28(sK21)),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f607,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(powerset(sK22(sK28(sK21)))))
| ~ in(sK22(sK28(sK21)),omega)
| ~ sP2(X1,sK22(sK28(sK21)))
| in(sK33(X0),X0)
| empty_set = X0 )
| ~ spl41_14
| ~ spl41_28 ),
inference(superposition,[],[f282,f569]) ).
fof(f282,plain,
! [X0,X1,X9] :
( ~ in(sK32(X1),omega)
| ~ element(X9,powerset(powerset(sK32(X1))))
| in(sK33(X9),X9)
| ~ sP2(X0,X1)
| empty_set = X9 ),
inference(cnf_transformation,[],[f150]) ).
fof(f616,plain,
( spl41_35
| ~ spl41_31
| spl41_36
| ~ spl41_14
| ~ spl41_28 ),
inference(avatar_split_clause,[],[f608,f532,f425,f614,f578,f611]) ).
fof(f608,plain,
( ! [X2,X3,X4] :
( ~ element(X2,powerset(powerset(sK22(sK28(sK21)))))
| ~ in(sK22(sK28(sK21)),omega)
| empty_set = X2
| sK33(X2) = X3
| ~ subset(sK33(X2),X3)
| ~ sP2(X4,sK22(sK28(sK21)))
| ~ in(X3,X2) )
| ~ spl41_14
| ~ spl41_28 ),
inference(superposition,[],[f283,f569]) ).
fof(f283,plain,
! [X0,X11,X1,X9] :
( ~ in(sK32(X1),omega)
| ~ subset(sK33(X9),X11)
| ~ in(X11,X9)
| sK33(X9) = X11
| empty_set = X9
| ~ element(X9,powerset(powerset(sK32(X1))))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f585,plain,
( spl41_31
| ~ spl41_32
| ~ spl41_14
| ~ spl41_28
| spl41_30 ),
inference(avatar_split_clause,[],[f576,f541,f532,f425,f582,f578]) ).
fof(f576,plain,
( ~ ordinal(sK22(sK28(sK21)))
| in(sK22(sK28(sK21)),omega)
| ~ spl41_14
| ~ spl41_28
| spl41_30 ),
inference(subsumption_resolution,[],[f574,f543]) ).
fof(f574,plain,
( ~ ordinal(sK22(sK28(sK21)))
| in(sK22(sK28(sK21)),omega)
| sP0(sK22(sK28(sK21)),sK21)
| ~ spl41_14
| ~ spl41_28 ),
inference(resolution,[],[f570,f304]) ).
fof(f304,plain,
! [X2,X1] :
( ~ in(X2,succ(X1))
| in(X2,omega)
| sP0(X2,X1)
| ~ ordinal(X2) ),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| ~ ordinal(X2)
| X0 != X2
| in(X2,omega)
| ~ in(X0,succ(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f570,plain,
( in(sK22(sK28(sK21)),succ(sK21))
| ~ spl41_14
| ~ spl41_28 ),
inference(forward_demodulation,[],[f567,f568]) ).
fof(f568,plain,
( sK22(sK28(sK21)) = sK31(sK21,sK22(sK28(sK21)))
| ~ spl41_14
| ~ spl41_28 ),
inference(resolution,[],[f564,f284]) ).
fof(f567,plain,
( in(sK31(sK21,sK22(sK28(sK21))),succ(sK21))
| ~ spl41_14
| ~ spl41_28 ),
inference(resolution,[],[f564,f285]) ).
fof(f538,plain,
( spl41_28
| spl41_29
| ~ spl41_14 ),
inference(avatar_split_clause,[],[f530,f425,f536,f532]) ).
fof(f530,plain,
( ! [X0] :
( in(sK20(X0),X0)
| ~ element(X0,powerset(powerset(sK22(sK28(sK21)))))
| in(sK22(sK28(sK21)),sK28(sK21))
| empty_set = X0 )
| ~ spl41_14 ),
inference(factoring,[],[f521]) ).
fof(f521,plain,
( ! [X2,X1] :
( in(sK22(X2),sK28(sK21))
| in(sK22(X2),X2)
| in(sK20(X1),X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(sK22(X2)))) )
| ~ spl41_14 ),
inference(subsumption_resolution,[],[f517,f426]) ).
fof(f517,plain,
! [X2,X1] :
( in(sK20(X1),X1)
| ~ sP3(sK21)
| in(sK22(X2),sK28(sK21))
| ~ element(X1,powerset(powerset(sK22(X2))))
| empty_set = X1
| in(sK22(X2),X2) ),
inference(resolution,[],[f513,f278]) ).
fof(f513,plain,
! [X0,X1] :
( sP2(sK21,sK22(X1))
| ~ element(X0,powerset(powerset(sK22(X1))))
| in(sK20(X0),X0)
| empty_set = X0
| in(sK22(X1),X1) ),
inference(duplicate_literal_removal,[],[f512]) ).
fof(f512,plain,
! [X0,X1] :
( in(sK22(X1),X1)
| in(sK20(X0),X0)
| ~ element(X0,powerset(powerset(sK22(X1))))
| in(sK22(X1),X1)
| sP2(sK21,sK22(X1))
| empty_set = X0 ),
inference(resolution,[],[f394,f235]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ sP0(sK22(X0),X1)
| ~ element(X2,powerset(powerset(sK22(X0))))
| empty_set = X2
| in(sK20(X2),X2)
| sP2(sK21,sK22(X0))
| in(sK22(X0),X0) ),
inference(subsumption_resolution,[],[f393,f360]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(powerset(sK22(X0))))
| ~ sP0(sK22(X0),X1)
| ~ ordinal(sK22(X0))
| sP2(sK21,sK22(X0))
| in(sK20(X2),X2)
| in(sK22(X0),X0)
| empty_set = X2 ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
! [X2,X0,X1] :
( in(sK20(X2),X2)
| ~ element(X2,powerset(powerset(sK22(X0))))
| empty_set = X2
| ~ ordinal(sK22(X0))
| in(sK22(X0),X0)
| sP2(sK21,sK22(X0))
| in(sK22(X0),X0)
| ~ sP0(sK22(X0),X1) ),
inference(resolution,[],[f362,f325]) ).
fof(f362,plain,
! [X8,X6,X7] :
( ~ in(sK22(X6),omega)
| in(sK22(X6),X6)
| ~ sP0(sK22(X6),X8)
| ~ element(X7,powerset(powerset(sK22(X6))))
| in(sK20(X7),X7)
| empty_set = X7 ),
inference(superposition,[],[f225,f323]) ).
fof(f225,plain,
! [X0,X1,X7] :
( ~ in(sK19(X0),omega)
| in(sK20(X7),X7)
| ~ sP0(X0,X1)
| empty_set = X7
| ~ element(X7,powerset(powerset(sK19(X0)))) ),
inference(cnf_transformation,[],[f124]) ).
fof(f469,plain,
( spl41_16
| spl41_14 ),
inference(avatar_split_clause,[],[f468,f425,f442]) ).
fof(f468,plain,
( ! [X0] :
( sP3(X0)
| ~ ordinal(X0) )
| spl41_14 ),
inference(trivial_inequality_removal,[],[f467]) ).
fof(f467,plain,
( ! [X0] :
( sK36 != sK36
| sP3(X0)
| ~ ordinal(X0) )
| spl41_14 ),
inference(backward_demodulation,[],[f297,f465]) ).
fof(f465,plain,
( sK37 = sK36
| spl41_14 ),
inference(forward_demodulation,[],[f464,f459]) ).
fof(f459,plain,
( sK38 = sK36
| spl41_14 ),
inference(subsumption_resolution,[],[f432,f237]) ).
fof(f432,plain,
( sK38 = sK36
| ~ ordinal(sK21)
| spl41_14 ),
inference(resolution,[],[f427,f303]) ).
fof(f303,plain,
! [X0] :
( sP3(X0)
| sK38 = sK36
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ ordinal(X0)
| sP3(X0)
| ( sK38 = sK36
& sK38 = sK37
& ( ~ in(sK39,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(sK39)))
| ( in(sK40(X5),X5)
& ! [X7] :
( ~ subset(sK40(X5),X7)
| ~ in(X7,X5)
| sK40(X5) = X7 ) ) ) )
& ordinal(sK39)
& sK39 = sK37
& sK37 != sK36
& sP1(sK36) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40])],[f156,f159,f158,f157]) ).
fof(f157,plain,
( ? [X1,X2,X3] :
( X1 = X3
& X2 = X3
& ? [X4] :
( ( ~ in(X4,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(X4)
& X2 = X4 )
& X1 != X2
& sP1(X1) )
=> ( sK38 = sK36
& sK38 = sK37
& ? [X4] :
( ( ~ in(X4,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(X4)
& sK37 = X4 )
& sK37 != sK36
& sP1(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X4] :
( ( ~ in(X4,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(X4)
& sK37 = X4 )
=> ( ( ~ in(sK39,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(sK39)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(sK39)
& sK39 = sK37 ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X5] :
( ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) )
=> ( in(sK40(X5),X5)
& ! [X7] :
( ~ subset(sK40(X5),X7)
| ~ in(X7,X5)
| sK40(X5) = X7 ) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ~ ordinal(X0)
| sP3(X0)
| ? [X1,X2,X3] :
( X1 = X3
& X2 = X3
& ? [X4] :
( ( ~ in(X4,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(X4)
& X2 = X4 )
& X1 != X2
& sP1(X1) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ ordinal(X0)
| sP3(X0)
| ? [X2,X3,X1] :
( X1 = X2
& X1 = X3
& ? [X4] :
( ( ~ in(X4,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(X4)
& X3 = X4 )
& X2 != X3
& sP1(X2) ) ),
inference(definition_folding,[],[f76,f88,f87,f86]) ).
fof(f86,plain,
! [X2] :
( ? [X8] :
( ordinal(X8)
& X2 = X8
& ( ~ in(X8,omega)
| ! [X9] :
( empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ in(X11,X9)
| X10 = X11
| ~ subset(X10,X11) )
& in(X10,X9) )
| ~ element(X9,powerset(powerset(X8))) ) ) )
| ~ sP1(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f76,plain,
! [X0] :
( ~ ordinal(X0)
| ? [X12] :
! [X13] :
( ? [X14] :
( in(X14,succ(X0))
& X13 = X14
& ? [X15] :
( ( ~ in(X15,omega)
| ! [X16] :
( ~ element(X16,powerset(powerset(X15)))
| empty_set = X16
| ? [X17] :
( ! [X18] :
( ~ subset(X17,X18)
| ~ in(X18,X16)
| X17 = X18 )
& in(X17,X16) ) ) )
& ordinal(X15)
& X13 = X15 ) )
<=> in(X13,X12) )
| ? [X2,X3,X1] :
( X1 = X2
& X1 = X3
& ? [X4] :
( ( ~ in(X4,omega)
| ! [X5] :
( empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ? [X6] :
( in(X6,X5)
& ! [X7] :
( ~ subset(X6,X7)
| ~ in(X7,X5)
| X6 = X7 ) ) ) )
& ordinal(X4)
& X3 = X4 )
& X2 != X3
& ? [X8] :
( ordinal(X8)
& X2 = X8
& ( ~ in(X8,omega)
| ! [X9] :
( empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ in(X11,X9)
| X10 = X11
| ~ subset(X10,X11) )
& in(X10,X9) )
| ~ element(X9,powerset(powerset(X8))) ) ) ) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,succ(X0))
& ? [X15] :
( ordinal(X15)
& X13 = X15
& ( ! [X16] :
( empty_set = X16
| ? [X17] :
( in(X17,X16)
& ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) ) )
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) ) )
& X13 = X14 ) )
| ? [X1,X2,X3] :
( X2 != X3
& ? [X8] :
( ( ! [X9] :
( empty_set = X9
| ? [X10] :
( in(X10,X9)
& ! [X11] :
( X10 = X11
| ~ in(X11,X9)
| ~ subset(X10,X11) ) )
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X2 = X8
& ordinal(X8) )
& X1 = X2
& X1 = X3
& ? [X4] :
( ordinal(X4)
& ( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ in(X7,X5)
| ~ subset(X6,X7) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X3 = X4 ) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ordinal(X0)
=> ( ! [X1,X2,X3] :
( ( ? [X8] :
( ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( empty_set != X9
& ! [X10] :
~ ( in(X10,X9)
& ! [X11] :
( ( in(X11,X9)
& subset(X10,X11) )
=> X10 = X11 ) ) ) ) )
& X2 = X8
& ordinal(X8) )
& X1 = X2
& X1 = X3
& ? [X4] :
( ordinal(X4)
& ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( in(X7,X5)
& subset(X6,X7) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
& X3 = X4 ) )
=> X2 = X3 )
=> ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,succ(X0))
& ? [X15] :
( ordinal(X15)
& X13 = X15
& ( in(X15,omega)
=> ! [X16] :
( element(X16,powerset(powerset(X15)))
=> ~ ( empty_set != X16
& ! [X17] :
~ ( in(X17,X16)
& ! [X18] :
( ( subset(X17,X18)
& in(X18,X16) )
=> X17 = X18 ) ) ) ) ) )
& X13 = X14 ) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ordinal(X0)
=> ( ! [X1,X3,X2] :
( ( X1 = X3
& ? [X4] :
( X2 = X4
& ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( in(X7,X5)
& subset(X6,X7) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
& ordinal(X4) )
& ? [X8] :
( ordinal(X8)
& ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( empty_set != X9
& ! [X10] :
~ ( in(X10,X9)
& ! [X11] :
( ( in(X11,X9)
& subset(X10,X11) )
=> X10 = X11 ) ) ) ) )
& X3 = X8 )
& X1 = X2 )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = X3
& in(X3,succ(X0))
& ? [X12] :
( X2 = X12
& ordinal(X12)
& ( in(X12,omega)
=> ! [X13] :
( element(X13,powerset(powerset(X12)))
=> ~ ( empty_set != X13
& ! [X14] :
~ ( in(X14,X13)
& ! [X15] :
( ( in(X15,X13)
& subset(X14,X15) )
=> X14 = X15 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e18_27__finset_1__1) ).
fof(f464,plain,
( sK38 = sK37
| spl41_14 ),
inference(subsumption_resolution,[],[f430,f237]) ).
fof(f430,plain,
( ~ ordinal(sK21)
| sK38 = sK37
| spl41_14 ),
inference(resolution,[],[f427,f302]) ).
fof(f302,plain,
! [X0] :
( sP3(X0)
| sK38 = sK37
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f297,plain,
! [X0] :
( sK37 != sK36
| sP3(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:03:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 % (30144)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55 % (30145)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.55 % (30161)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (30153)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.56 % (30160)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.39/0.56 % (30152)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.56 % (30159)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.39/0.56 % (30152)Instruction limit reached!
% 1.39/0.56 % (30152)------------------------------
% 1.39/0.56 % (30152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (30143)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.39/0.57 % (30151)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.39/0.57 % (30152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (30152)Termination reason: Unknown
% 1.39/0.57 % (30152)Termination phase: Saturation
% 1.39/0.57
% 1.39/0.57 % (30152)Memory used [KB]: 6140
% 1.39/0.57 % (30152)Time elapsed: 0.147 s
% 1.39/0.57 % (30152)Instructions burned: 7 (million)
% 1.39/0.57 % (30152)------------------------------
% 1.39/0.57 % (30152)------------------------------
% 1.65/0.59 % (30151)Instruction limit reached!
% 1.65/0.59 % (30151)------------------------------
% 1.65/0.59 % (30151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (30158)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.65/0.59 % (30151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (30151)Termination reason: Unknown
% 1.65/0.59 % (30151)Termination phase: Preprocessing 3
% 1.65/0.59
% 1.65/0.59 % (30151)Memory used [KB]: 1535
% 1.65/0.59 % (30151)Time elapsed: 0.004 s
% 1.65/0.59 % (30151)Instructions burned: 3 (million)
% 1.65/0.59 % (30151)------------------------------
% 1.65/0.59 % (30151)------------------------------
% 1.65/0.60 % (30164)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.65/0.60 % (30150)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.60 % (30142)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.65/0.60 % (30149)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.65/0.60 % (30141)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.65/0.61 % (30140)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.61 % (30138)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.65/0.61 % (30166)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.65/0.61 % (30162)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.65/0.61 % (30157)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.65/0.61 % (30156)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.65/0.62 % (30165)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.65/0.62 % (30156)Refutation not found, incomplete strategy% (30156)------------------------------
% 1.65/0.62 % (30156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (30156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (30156)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.62
% 1.65/0.62 % (30156)Memory used [KB]: 6140
% 1.65/0.62 % (30156)Time elapsed: 0.196 s
% 1.65/0.62 % (30156)Instructions burned: 7 (million)
% 1.65/0.62 % (30156)------------------------------
% 1.65/0.62 % (30156)------------------------------
% 1.65/0.62 % (30154)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.65/0.62 % (30154)Instruction limit reached!
% 1.65/0.62 % (30154)------------------------------
% 1.65/0.62 % (30154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (30154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (30154)Termination reason: Unknown
% 1.65/0.62 % (30154)Termination phase: Property scanning
% 1.65/0.62
% 1.65/0.62 % (30154)Memory used [KB]: 1535
% 1.65/0.62 % (30154)Time elapsed: 0.004 s
% 1.65/0.62 % (30154)Instructions burned: 4 (million)
% 1.65/0.62 % (30154)------------------------------
% 1.65/0.62 % (30154)------------------------------
% 1.65/0.62 % (30165)Instruction limit reached!
% 1.65/0.62 % (30165)------------------------------
% 1.65/0.62 % (30165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (30165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (30165)Termination reason: Unknown
% 1.65/0.62 % (30165)Termination phase: Saturation
% 1.65/0.62
% 1.65/0.62 % (30165)Memory used [KB]: 6140
% 1.65/0.62 % (30165)Time elapsed: 0.197 s
% 1.65/0.62 % (30165)Instructions burned: 8 (million)
% 1.65/0.62 % (30165)------------------------------
% 1.65/0.62 % (30165)------------------------------
% 1.65/0.62 % (30146)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.65/0.63 % (30142)Refutation not found, incomplete strategy% (30142)------------------------------
% 1.65/0.63 % (30142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (30142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (30142)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.63
% 1.65/0.63 % (30142)Memory used [KB]: 1663
% 1.65/0.63 % (30142)Time elapsed: 0.180 s
% 1.65/0.63 % (30142)Instructions burned: 10 (million)
% 1.65/0.63 % (30142)------------------------------
% 1.65/0.63 % (30142)------------------------------
% 1.65/0.63 % (30148)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.65/0.63 % (30144)Instruction limit reached!
% 1.65/0.63 % (30144)------------------------------
% 1.65/0.63 % (30144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (30141)Instruction limit reached!
% 1.65/0.63 % (30141)------------------------------
% 1.65/0.63 % (30141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (30141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (30141)Termination reason: Unknown
% 1.65/0.63 % (30141)Termination phase: Saturation
% 1.65/0.63
% 1.65/0.63 % (30141)Memory used [KB]: 6140
% 1.65/0.63 % (30141)Time elapsed: 0.012 s
% 1.65/0.63 % (30141)Instructions burned: 13 (million)
% 1.65/0.63 % (30141)------------------------------
% 1.65/0.63 % (30141)------------------------------
% 1.65/0.64 % (30144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.64 % (30144)Termination reason: Unknown
% 1.65/0.64 % (30144)Termination phase: Saturation
% 1.65/0.64
% 1.65/0.64 % (30144)Memory used [KB]: 6908
% 1.65/0.64 % (30144)Time elapsed: 0.205 s
% 1.65/0.64 % (30144)Instructions burned: 40 (million)
% 1.65/0.64 % (30144)------------------------------
% 1.65/0.64 % (30144)------------------------------
% 1.65/0.64 % (30160)Instruction limit reached!
% 1.65/0.64 % (30160)------------------------------
% 1.65/0.64 % (30160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.64 % (30148)Instruction limit reached!
% 1.65/0.64 % (30148)------------------------------
% 1.65/0.64 % (30148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.64 % (30148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.64 % (30148)Termination reason: Unknown
% 1.65/0.64 % (30148)Termination phase: Saturation
% 1.65/0.64
% 1.65/0.64 % (30148)Memory used [KB]: 6140
% 1.65/0.64 % (30148)Time elapsed: 0.009 s
% 1.65/0.64 % (30148)Instructions burned: 7 (million)
% 1.65/0.64 % (30148)------------------------------
% 1.65/0.64 % (30148)------------------------------
% 1.65/0.64 % (30160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.64 % (30160)Termination reason: Unknown
% 1.65/0.64 % (30160)Termination phase: Saturation
% 1.65/0.64
% 1.65/0.64 % (30160)Memory used [KB]: 2046
% 1.65/0.64 % (30160)Time elapsed: 0.206 s
% 1.65/0.64 % (30160)Instructions burned: 46 (million)
% 1.65/0.64 % (30160)------------------------------
% 1.65/0.64 % (30160)------------------------------
% 1.65/0.64 % (30149)Instruction limit reached!
% 1.65/0.64 % (30149)------------------------------
% 1.65/0.64 % (30149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.64 % (30149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.64 % (30149)Termination reason: Unknown
% 1.65/0.64 % (30149)Termination phase: Saturation
% 1.65/0.64
% 1.65/0.64 % (30149)Memory used [KB]: 1791
% 1.65/0.64 % (30149)Time elapsed: 0.206 s
% 1.65/0.64 % (30149)Instructions burned: 16 (million)
% 1.65/0.64 % (30149)------------------------------
% 1.65/0.64 % (30149)------------------------------
% 1.65/0.65 % (30153)First to succeed.
% 1.65/0.66 % (30166)Instruction limit reached!
% 1.65/0.66 % (30166)------------------------------
% 1.65/0.66 % (30166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.66 % (30166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.66 % (30166)Termination reason: Unknown
% 1.65/0.66 % (30166)Termination phase: Saturation
% 1.65/0.66
% 1.65/0.66 % (30166)Memory used [KB]: 6268
% 1.65/0.66 % (30166)Time elapsed: 0.239 s
% 1.65/0.66 % (30166)Instructions burned: 25 (million)
% 1.65/0.66 % (30166)------------------------------
% 1.65/0.66 % (30166)------------------------------
% 1.65/0.66 % (30143)Instruction limit reached!
% 1.65/0.66 % (30143)------------------------------
% 1.65/0.66 % (30143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.66 % (30143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.66 % (30143)Termination reason: Unknown
% 1.65/0.66 % (30143)Termination phase: Saturation
% 1.65/0.66
% 1.65/0.66 % (30143)Memory used [KB]: 6524
% 1.65/0.66 % (30143)Time elapsed: 0.228 s
% 1.65/0.66 % (30143)Instructions burned: 39 (million)
% 1.65/0.66 % (30143)------------------------------
% 1.65/0.66 % (30143)------------------------------
% 1.65/0.66 % (30145)Instruction limit reached!
% 1.65/0.66 % (30145)------------------------------
% 1.65/0.66 % (30145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.66 % (30145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.66 % (30145)Termination reason: Unknown
% 1.65/0.66 % (30145)Termination phase: Saturation
% 1.65/0.66
% 1.65/0.66 % (30145)Memory used [KB]: 6780
% 1.65/0.66 % (30145)Time elapsed: 0.236 s
% 1.65/0.66 % (30145)Instructions burned: 49 (million)
% 1.65/0.66 % (30145)------------------------------
% 1.65/0.66 % (30145)------------------------------
% 1.65/0.66 % (30137)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.65/0.67 % (30138)Instruction limit reached!
% 1.65/0.67 % (30138)------------------------------
% 1.65/0.67 % (30138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.67 % (30138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.67 % (30138)Termination reason: Unknown
% 1.65/0.67 % (30138)Termination phase: Saturation
% 1.65/0.67
% 1.65/0.67 % (30138)Memory used [KB]: 6268
% 1.65/0.67 % (30138)Time elapsed: 0.177 s
% 1.65/0.67 % (30138)Instructions burned: 13 (million)
% 1.65/0.67 % (30138)------------------------------
% 1.65/0.67 % (30138)------------------------------
% 2.41/0.67 % (30164)Instruction limit reached!
% 2.41/0.67 % (30164)------------------------------
% 2.41/0.67 % (30164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67 % (30164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67 % (30164)Termination reason: Unknown
% 2.41/0.67 % (30164)Termination phase: Saturation
% 2.41/0.67
% 2.41/0.67 % (30164)Memory used [KB]: 6652
% 2.41/0.67 % (30164)Time elapsed: 0.212 s
% 2.41/0.67 % (30164)Instructions burned: 26 (million)
% 2.41/0.67 % (30164)------------------------------
% 2.41/0.67 % (30164)------------------------------
% 2.41/0.67 % (30161)Instruction limit reached!
% 2.41/0.67 % (30161)------------------------------
% 2.41/0.67 % (30161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67 % (30161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67 % (30161)Termination reason: Unknown
% 2.41/0.67 % (30161)Termination phase: Saturation
% 2.41/0.67
% 2.41/0.67 % (30161)Memory used [KB]: 6524
% 2.41/0.67 % (30161)Time elapsed: 0.248 s
% 2.41/0.67 % (30161)Instructions burned: 50 (million)
% 2.41/0.67 % (30161)------------------------------
% 2.41/0.67 % (30161)------------------------------
% 2.41/0.67 % (30155)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.41/0.67 % (30155)Instruction limit reached!
% 2.41/0.67 % (30155)------------------------------
% 2.41/0.67 % (30155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67 % (30155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67 % (30155)Termination reason: Unknown
% 2.41/0.67 % (30155)Termination phase: Preprocessing 3
% 2.41/0.67
% 2.41/0.67 % (30155)Memory used [KB]: 1407
% 2.41/0.67 % (30155)Time elapsed: 0.003 s
% 2.41/0.67 % (30155)Instructions burned: 2 (million)
% 2.41/0.67 % (30155)------------------------------
% 2.41/0.67 % (30155)------------------------------
% 2.41/0.67 % (30163)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.41/0.67 % (30140)Instruction limit reached!
% 2.41/0.67 % (30140)------------------------------
% 2.41/0.67 % (30140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67 % (30140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67 % (30140)Termination reason: Unknown
% 2.41/0.67 % (30140)Termination phase: Saturation
% 2.41/0.67
% 2.41/0.67 % (30140)Memory used [KB]: 6652
% 2.41/0.67 % (30140)Time elapsed: 0.240 s
% 2.41/0.67 % (30140)Instructions burned: 51 (million)
% 2.41/0.67 % (30140)------------------------------
% 2.41/0.67 % (30140)------------------------------
% 2.41/0.68 % (30153)Refutation found. Thanks to Tanya!
% 2.41/0.68 % SZS status Theorem for theBenchmark
% 2.41/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.68 % (30153)------------------------------
% 2.41/0.68 % (30153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.68 % (30153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68 % (30153)Termination reason: Refutation
% 2.41/0.68
% 2.41/0.68 % (30153)Memory used [KB]: 7036
% 2.41/0.68 % (30153)Time elapsed: 0.238 s
% 2.41/0.68 % (30153)Instructions burned: 40 (million)
% 2.41/0.68 % (30153)------------------------------
% 2.41/0.68 % (30153)------------------------------
% 2.41/0.68 % (30136)Success in time 0.312 s
%------------------------------------------------------------------------------