TSTP Solution File: SEU301+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU301+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:22:04 EDT 2024
% Result : Theorem 3.43s 1.22s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 86
% Syntax : Number of formulae : 434 ( 24 unt; 0 def)
% Number of atoms : 2286 ( 420 equ)
% Maximal formula atoms : 49 ( 5 avg)
% Number of connectives : 3092 (1240 ~;1297 |; 375 &)
% ( 45 <=>; 135 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 60 ( 58 usr; 47 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 9 con; 0-2 aty)
% Number of variables : 606 ( 500 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3362,plain,
$false,
inference(avatar_sat_refutation,[],[f398,f402,f421,f426,f430,f434,f439,f443,f447,f710,f1175,f1179,f1183,f1344,f1370,f1516,f1614,f1644,f1687,f1849,f1873,f1998,f2005,f2068,f2077,f2081,f2090,f2192,f2203,f2212,f2779,f2814,f2857,f2890,f2893,f2900,f2902,f2918,f2922,f2946,f2954,f3002,f3071,f3163,f3192,f3207,f3326,f3354]) ).
fof(f3354,plain,
( spl49_122
| spl49_64
| ~ spl49_6
| ~ spl49_9
| spl49_63
| ~ spl49_152 ),
inference(avatar_split_clause,[],[f3353,f1976,f1079,f436,f423,f1083,f1587]) ).
fof(f1587,plain,
( spl49_122
<=> sP1(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_122])]) ).
fof(f1083,plain,
( spl49_64
<=> ! [X0] :
( empty_set = X0
| ~ element(X0,powerset(powerset(sK34)))
| in(sK12(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_64])]) ).
fof(f423,plain,
( spl49_6
<=> in(sK34,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f436,plain,
( spl49_9
<=> ordinal(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).
fof(f1079,plain,
( spl49_63
<=> empty_set = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_63])]) ).
fof(f1976,plain,
( spl49_152
<=> being_limit_ordinal(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_152])]) ).
fof(f3353,plain,
( ! [X0] :
( in(sK12(X0),X0)
| empty_set = X0
| sP1(sK34)
| ~ element(X0,powerset(powerset(sK34))) )
| ~ spl49_6
| ~ spl49_9
| spl49_63
| ~ spl49_152 ),
inference(subsumption_resolution,[],[f3352,f438]) ).
fof(f438,plain,
( ordinal(sK34)
| ~ spl49_9 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f3352,plain,
( ! [X0] :
( in(sK12(X0),X0)
| empty_set = X0
| sP1(sK34)
| ~ element(X0,powerset(powerset(sK34)))
| ~ ordinal(sK34) )
| ~ spl49_6
| spl49_63
| ~ spl49_152 ),
inference(subsumption_resolution,[],[f3351,f1080]) ).
fof(f1080,plain,
( empty_set != sK34
| spl49_63 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f3351,plain,
( ! [X0] :
( in(sK12(X0),X0)
| empty_set = X0
| empty_set = sK34
| sP1(sK34)
| ~ element(X0,powerset(powerset(sK34)))
| ~ ordinal(sK34) )
| ~ spl49_6
| ~ spl49_152 ),
inference(subsumption_resolution,[],[f2933,f425]) ).
fof(f425,plain,
( in(sK34,omega)
| ~ spl49_6 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f2933,plain,
( ! [X0] :
( in(sK12(X0),X0)
| empty_set = X0
| ~ in(sK34,omega)
| empty_set = sK34
| sP1(sK34)
| ~ element(X0,powerset(powerset(sK34)))
| ~ ordinal(sK34) )
| ~ spl49_152 ),
inference(resolution,[],[f1977,f388]) ).
fof(f388,plain,
! [X4,X5] :
( ~ being_limit_ordinal(X4)
| in(sK12(X5),X5)
| empty_set = X5
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ element(X5,powerset(powerset(X4)))
| ~ ordinal(X4) ),
inference(forward_demodulation,[],[f376,f374]) ).
fof(f374,plain,
! [X4] : powerset(powerset(X4)) = sF43(X4),
introduced(function_definition,[new_symbols(definition,[sF43])]) ).
fof(f376,plain,
! [X4,X5] :
( in(sK12(X5),X5)
| empty_set = X5
| ~ element(X5,sF43(X4))
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ being_limit_ordinal(X4)
| ~ ordinal(X4) ),
inference(definition_folding,[],[f210,f374]) ).
fof(f210,plain,
! [X4,X5] :
( in(sK12(X5),X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ being_limit_ordinal(X4)
| ~ ordinal(X4) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ! [X2] :
( ( sK11(X2) != X2
& subset(X2,sK11(X2))
& in(sK11(X2),sK10) )
| ~ in(X2,sK10) )
& empty_set != sK10
& element(sK10,powerset(powerset(sK9)))
& in(sK9,omega)
& ordinal(sK9)
& ! [X4] :
( ! [X5] :
( ( ! [X7] :
( sK12(X5) = X7
| ~ subset(sK12(X5),X7)
| ~ in(X7,X5) )
& in(sK12(X5),X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ being_limit_ordinal(X4)
| ~ ordinal(X4) )
& ! [X8] :
( ! [X9] :
( ( ! [X11] :
( sK13(X9) = X11
| ~ subset(sK13(X9),X11)
| ~ in(X11,X9) )
& in(sK13(X9),X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(succ(X8)))) )
| ~ in(succ(X8),omega)
| sP0(X8)
| ~ ordinal(X8) )
& ( ! [X12] :
( ( ! [X14] :
( sK14(X12) = X14
| ~ subset(sK14(X12),X14)
| ~ in(X14,X12) )
& in(sK14(X12),X12) )
| empty_set = X12
| ~ element(X12,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14])],[f130,f136,f135,f134,f133,f132,f131]) ).
fof(f131,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
& in(X0,omega)
& ordinal(X0) )
=> ( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(sK9))) )
& in(sK9,omega)
& ordinal(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(sK9))) )
=> ( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,sK10) )
| ~ in(X2,sK10) )
& empty_set != sK10
& element(sK10,powerset(powerset(sK9))) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,sK10) )
=> ( sK11(X2) != X2
& subset(X2,sK11(X2))
& in(sK11(X2),sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
=> ( ! [X7] :
( sK12(X5) = X7
| ~ subset(sK12(X5),X7)
| ~ in(X7,X5) )
& in(sK12(X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
=> ( ! [X11] :
( sK13(X9) = X11
| ~ subset(sK13(X9),X11)
| ~ in(X11,X9) )
& in(sK13(X9),X9) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X12] :
( ? [X13] :
( ! [X14] :
( X13 = X14
| ~ subset(X13,X14)
| ~ in(X14,X12) )
& in(X13,X12) )
=> ( ! [X14] :
( sK14(X12) = X14
| ~ subset(sK14(X12),X14)
| ~ in(X14,X12) )
& in(sK14(X12),X12) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
& in(X0,omega)
& ordinal(X0) )
& ! [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)
| empty_set = X4
| sP1(X4)
| ~ being_limit_ordinal(X4)
| ~ ordinal(X4) )
& ! [X8] :
( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(succ(X8)))) )
| ~ in(succ(X8),omega)
| sP0(X8)
| ~ ordinal(X8) )
& ( ! [X12] :
( ? [X13] :
( ! [X14] :
( X13 = X14
| ~ subset(X13,X14)
| ~ in(X14,X12) )
& in(X13,X12) )
| empty_set = X12
| ~ element(X12,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
( ? [X18] :
( ? [X19] :
( ! [X20] :
( ? [X21] :
( X20 != X21
& subset(X20,X21)
& in(X21,X19) )
| ~ in(X20,X19) )
& empty_set != X19
& element(X19,powerset(powerset(X18))) )
& in(X18,omega)
& ordinal(X18) )
& ! [X0] :
( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X0))) )
| ~ in(X0,omega)
| empty_set = X0
| sP1(X0)
| ~ being_limit_ordinal(X0)
| ~ ordinal(X0) )
& ! [X8] :
( ! [X12] :
( ? [X13] :
( ! [X14] :
( X13 = X14
| ~ subset(X13,X14)
| ~ in(X14,X12) )
& in(X13,X12) )
| empty_set = X12
| ~ element(X12,powerset(powerset(succ(X8)))) )
| ~ in(succ(X8),omega)
| sP0(X8)
| ~ ordinal(X8) )
& ( ! [X15] :
( ? [X16] :
( ! [X17] :
( X16 = X17
| ~ subset(X16,X17)
| ~ in(X17,X15) )
& in(X16,X15) )
| empty_set = X15
| ~ element(X15,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) ) ),
inference(definition_folding,[],[f82,f115,f114]) ).
fof(f114,plain,
! [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) )
| ~ sP0(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f115,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega)
& in(X1,X0)
& ordinal(X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f82,plain,
( ? [X18] :
( ? [X19] :
( ! [X20] :
( ? [X21] :
( X20 != X21
& subset(X20,X21)
& in(X21,X19) )
| ~ in(X20,X19) )
& empty_set != X19
& element(X19,powerset(powerset(X18))) )
& in(X18,omega)
& ordinal(X18) )
& ! [X0] :
( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X0))) )
| ~ in(X0,omega)
| empty_set = X0
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0)
| ~ ordinal(X0) )
& ! [X8] :
( ! [X12] :
( ? [X13] :
( ! [X14] :
( X13 = X14
| ~ subset(X13,X14)
| ~ in(X14,X12) )
& in(X13,X12) )
| empty_set = X12
| ~ element(X12,powerset(powerset(succ(X8)))) )
| ~ in(succ(X8),omega)
| ( ? [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) )
| ~ ordinal(X8) )
& ( ! [X15] :
( ? [X16] :
( ! [X17] :
( X16 = X17
| ~ subset(X16,X17)
| ~ in(X17,X15) )
& in(X16,X15) )
| empty_set = X15
| ~ element(X15,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
( ? [X18] :
( ? [X19] :
( ! [X20] :
( ? [X21] :
( X20 != X21
& subset(X20,X21)
& in(X21,X19) )
| ~ in(X20,X19) )
& empty_set != X19
& element(X19,powerset(powerset(X18))) )
& in(X18,omega)
& ordinal(X18) )
& ! [X0] :
( ! [X5] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X0))) )
| ~ in(X0,omega)
| empty_set = X0
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0)
| ~ ordinal(X0) )
& ! [X8] :
( ! [X12] :
( ? [X13] :
( ! [X14] :
( X13 = X14
| ~ subset(X13,X14)
| ~ in(X14,X12) )
& in(X13,X12) )
| empty_set = X12
| ~ element(X12,powerset(powerset(succ(X8)))) )
| ~ in(succ(X8),omega)
| ( ? [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) )
| ~ ordinal(X8) )
& ( ! [X15] :
( ? [X16] :
( ! [X17] :
( X16 = X17
| ~ subset(X16,X17)
| ~ in(X17,X15) )
& in(X16,X15) )
| empty_set = X15
| ~ element(X15,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
~ ( ( ! [X0] :
( ordinal(X0)
=> ( ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( ! [X3] :
~ ( ! [X4] :
( ( subset(X3,X4)
& in(X4,X2) )
=> X3 = X4 )
& in(X3,X2) )
& empty_set != X2 ) ) ) ) )
& being_limit_ordinal(X0) )
=> ( ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) )
| empty_set = X0 ) ) )
& ! [X8] :
( ordinal(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 ) ) )
=> ( in(succ(X8),omega)
=> ! [X12] :
( element(X12,powerset(powerset(succ(X8))))
=> ~ ( ! [X13] :
~ ( ! [X14] :
( ( subset(X13,X14)
& in(X14,X12) )
=> X13 = X14 )
& in(X13,X12) )
& empty_set != X12 ) ) ) ) )
& ( in(empty_set,omega)
=> ! [X15] :
( element(X15,powerset(powerset(empty_set)))
=> ~ ( ! [X16] :
~ ( ! [X17] :
( ( subset(X16,X17)
& in(X17,X15) )
=> X16 = X17 )
& in(X16,X15) )
& empty_set != X15 ) ) ) )
=> ! [X18] :
( ordinal(X18)
=> ( in(X18,omega)
=> ! [X19] :
( element(X19,powerset(powerset(X18)))
=> ~ ( ! [X20] :
~ ( ! [X21] :
( ( subset(X20,X21)
& in(X21,X19) )
=> X20 = X21 )
& in(X20,X19) )
& empty_set != X19 ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X3] :
( ordinal(X3)
=> ( ( ! [X10] :
( ordinal(X10)
=> ( in(X10,X3)
=> ( in(X10,omega)
=> ! [X11] :
( element(X11,powerset(powerset(X10)))
=> ~ ( ! [X12] :
~ ( ! [X13] :
( ( subset(X12,X13)
& in(X13,X11) )
=> X12 = X13 )
& in(X12,X11) )
& empty_set != X11 ) ) ) ) )
& being_limit_ordinal(X3) )
=> ( ( in(X3,omega)
=> ! [X14] :
( element(X14,powerset(powerset(X3)))
=> ~ ( ! [X15] :
~ ( ! [X16] :
( ( subset(X15,X16)
& in(X16,X14) )
=> X15 = X16 )
& in(X15,X14) )
& empty_set != X14 ) ) )
| empty_set = X3 ) ) )
& ! [X3] :
( ordinal(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 ) ) )
=> ( in(succ(X3),omega)
=> ! [X7] :
( element(X7,powerset(powerset(succ(X3))))
=> ~ ( ! [X8] :
~ ( ! [X9] :
( ( subset(X8,X9)
& in(X9,X7) )
=> X8 = X9 )
& in(X8,X7) )
& empty_set != X7 ) ) ) ) )
& ( in(empty_set,omega)
=> ! [X0] :
( element(X0,powerset(powerset(empty_set)))
=> ~ ( ! [X1] :
~ ( ! [X2] :
( ( subset(X1,X2)
& in(X2,X0) )
=> X1 = X2 )
& in(X1,X0) )
& empty_set != X0 ) ) ) )
=> ! [X3] :
( ordinal(X3)
=> ( in(X3,omega)
=> ! [X17] :
( element(X17,powerset(powerset(X3)))
=> ~ ( ! [X18] :
~ ( ! [X19] :
( ( subset(X18,X19)
& in(X19,X17) )
=> X18 = X19 )
& in(X18,X17) )
& empty_set != X17 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X3] :
( ordinal(X3)
=> ( ( ! [X10] :
( ordinal(X10)
=> ( in(X10,X3)
=> ( in(X10,omega)
=> ! [X11] :
( element(X11,powerset(powerset(X10)))
=> ~ ( ! [X12] :
~ ( ! [X13] :
( ( subset(X12,X13)
& in(X13,X11) )
=> X12 = X13 )
& in(X12,X11) )
& empty_set != X11 ) ) ) ) )
& being_limit_ordinal(X3) )
=> ( ( in(X3,omega)
=> ! [X14] :
( element(X14,powerset(powerset(X3)))
=> ~ ( ! [X15] :
~ ( ! [X16] :
( ( subset(X15,X16)
& in(X16,X14) )
=> X15 = X16 )
& in(X15,X14) )
& empty_set != X14 ) ) )
| empty_set = X3 ) ) )
& ! [X3] :
( ordinal(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 ) ) )
=> ( in(succ(X3),omega)
=> ! [X7] :
( element(X7,powerset(powerset(succ(X3))))
=> ~ ( ! [X8] :
~ ( ! [X9] :
( ( subset(X8,X9)
& in(X9,X7) )
=> X8 = X9 )
& in(X8,X7) )
& empty_set != X7 ) ) ) ) )
& ( in(empty_set,omega)
=> ! [X0] :
( element(X0,powerset(powerset(empty_set)))
=> ~ ( ! [X1] :
~ ( ! [X2] :
( ( subset(X1,X2)
& in(X2,X0) )
=> X1 = X2 )
& in(X1,X0) )
& empty_set != X0 ) ) ) )
=> ! [X3] :
( ordinal(X3)
=> ( in(X3,omega)
=> ! [X17] :
( element(X17,powerset(powerset(X3)))
=> ~ ( ! [X18] :
~ ( ! [X19] :
( ( subset(X18,X19)
& in(X19,X17) )
=> X18 = X19 )
& in(X18,X17) )
& empty_set != X17 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',s1_ordinal2__e18_27__finset_1) ).
fof(f1977,plain,
( being_limit_ordinal(sK34)
| ~ spl49_152 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f3326,plain,
( ~ spl49_122
| ~ spl49_260
| ~ spl49_280 ),
inference(avatar_contradiction_clause,[],[f3325]) ).
fof(f3325,plain,
( $false
| ~ spl49_122
| ~ spl49_260
| ~ spl49_280 ),
inference(subsumption_resolution,[],[f3324,f2997]) ).
fof(f2997,plain,
( in(sK35(sK5(sK34)),sK5(sK34))
| ~ spl49_260 ),
inference(avatar_component_clause,[],[f2995]) ).
fof(f2995,plain,
( spl49_260
<=> in(sK35(sK5(sK34)),sK5(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_260])]) ).
fof(f3324,plain,
( ~ in(sK35(sK5(sK34)),sK5(sK34))
| ~ spl49_122
| ~ spl49_280 ),
inference(trivial_inequality_removal,[],[f3321]) ).
fof(f3321,plain,
( sK35(sK5(sK34)) != sK35(sK5(sK34))
| ~ in(sK35(sK5(sK34)),sK5(sK34))
| ~ spl49_122
| ~ spl49_280 ),
inference(superposition,[],[f2936,f3162]) ).
fof(f3162,plain,
( sK35(sK5(sK34)) = sK6(sK34,sK35(sK5(sK34)))
| ~ spl49_280 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3160,plain,
( spl49_280
<=> sK35(sK5(sK34)) = sK6(sK34,sK35(sK5(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_280])]) ).
fof(f2936,plain,
( ! [X0] :
( sK6(sK34,X0) != X0
| ~ in(X0,sK5(sK34)) )
| ~ spl49_122 ),
inference(resolution,[],[f1589,f199]) ).
fof(f199,plain,
! [X3,X0] :
( ~ sP1(X0)
| ~ in(X3,sK5(X0))
| sK6(X0,X3) != X3 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( ! [X3] :
( ( sK6(X0,X3) != X3
& subset(X3,sK6(X0,X3))
& in(sK6(X0,X3),sK5(X0)) )
| ~ in(X3,sK5(X0)) )
& empty_set != sK5(X0)
& element(sK5(X0),powerset(powerset(sK4(X0))))
& in(sK4(X0),omega)
& in(sK4(X0),X0)
& ordinal(sK4(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f120,f123,f122,f121]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega)
& in(X1,X0)
& ordinal(X1) )
=> ( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(sK4(X0)))) )
& in(sK4(X0),omega)
& in(sK4(X0),X0)
& ordinal(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(sK4(X0)))) )
=> ( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,sK5(X0)) )
| ~ in(X3,sK5(X0)) )
& empty_set != sK5(X0)
& element(sK5(X0),powerset(powerset(sK4(X0)))) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0,X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,sK5(X0)) )
=> ( sK6(X0,X3) != X3
& subset(X3,sK6(X0,X3))
& in(sK6(X0,X3),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) )
| ~ in(X3,X2) )
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega)
& in(X1,X0)
& ordinal(X1) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f1589,plain,
( sP1(sK34)
| ~ spl49_122 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f3207,plain,
( ~ spl49_122
| spl49_278 ),
inference(avatar_contradiction_clause,[],[f3206]) ).
fof(f3206,plain,
( $false
| ~ spl49_122
| spl49_278 ),
inference(subsumption_resolution,[],[f3204,f1589]) ).
fof(f3204,plain,
( ~ sP1(sK34)
| spl49_278 ),
inference(resolution,[],[f3154,f195]) ).
fof(f195,plain,
! [X0] :
( element(sK5(X0),powerset(powerset(sK4(X0))))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f3154,plain,
( ~ element(sK5(sK34),powerset(powerset(sK4(sK34))))
| spl49_278 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f3152,plain,
( spl49_278
<=> element(sK5(sK34),powerset(powerset(sK4(sK34)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_278])]) ).
fof(f3192,plain,
( ~ spl49_122
| ~ spl49_260
| spl49_279 ),
inference(avatar_contradiction_clause,[],[f3191]) ).
fof(f3191,plain,
( $false
| ~ spl49_122
| ~ spl49_260
| spl49_279 ),
inference(subsumption_resolution,[],[f3184,f2997]) ).
fof(f3184,plain,
( ~ in(sK35(sK5(sK34)),sK5(sK34))
| ~ spl49_122
| spl49_279 ),
inference(resolution,[],[f2935,f3158]) ).
fof(f3158,plain,
( ~ in(sK6(sK34,sK35(sK5(sK34))),sK5(sK34))
| spl49_279 ),
inference(avatar_component_clause,[],[f3156]) ).
fof(f3156,plain,
( spl49_279
<=> in(sK6(sK34,sK35(sK5(sK34))),sK5(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_279])]) ).
fof(f2935,plain,
( ! [X0] :
( in(sK6(sK34,X0),sK5(sK34))
| ~ in(X0,sK5(sK34)) )
| ~ spl49_122 ),
inference(resolution,[],[f1589,f197]) ).
fof(f197,plain,
! [X3,X0] :
( ~ sP1(X0)
| ~ in(X3,sK5(X0))
| in(sK6(X0,X3),sK5(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f3163,plain,
( ~ spl49_278
| ~ spl49_279
| spl49_280
| ~ spl49_122
| ~ spl49_250
| ~ spl49_260
| spl49_261 ),
inference(avatar_split_clause,[],[f3150,f2999,f2995,f2912,f1587,f3160,f3156,f3152]) ).
fof(f2912,plain,
( spl49_250
<=> ! [X0,X1] :
( sK35(X0) = X1
| ~ subset(sK35(X0),X1)
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK4(sK34)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_250])]) ).
fof(f2999,plain,
( spl49_261
<=> empty_set = sK5(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_261])]) ).
fof(f3150,plain,
( sK35(sK5(sK34)) = sK6(sK34,sK35(sK5(sK34)))
| ~ in(sK6(sK34,sK35(sK5(sK34))),sK5(sK34))
| ~ element(sK5(sK34),powerset(powerset(sK4(sK34))))
| ~ spl49_122
| ~ spl49_250
| ~ spl49_260
| spl49_261 ),
inference(subsumption_resolution,[],[f3148,f3000]) ).
fof(f3000,plain,
( empty_set != sK5(sK34)
| spl49_261 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f3148,plain,
( sK35(sK5(sK34)) = sK6(sK34,sK35(sK5(sK34)))
| ~ in(sK6(sK34,sK35(sK5(sK34))),sK5(sK34))
| empty_set = sK5(sK34)
| ~ element(sK5(sK34),powerset(powerset(sK4(sK34))))
| ~ spl49_122
| ~ spl49_250
| ~ spl49_260 ),
inference(resolution,[],[f3137,f2913]) ).
fof(f2913,plain,
( ! [X0,X1] :
( ~ subset(sK35(X0),X1)
| sK35(X0) = X1
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK4(sK34)))) )
| ~ spl49_250 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f3137,plain,
( subset(sK35(sK5(sK34)),sK6(sK34,sK35(sK5(sK34))))
| ~ spl49_122
| ~ spl49_260 ),
inference(resolution,[],[f2937,f2997]) ).
fof(f2937,plain,
( ! [X0] :
( ~ in(X0,sK5(sK34))
| subset(X0,sK6(sK34,X0)) )
| ~ spl49_122 ),
inference(resolution,[],[f1589,f198]) ).
fof(f198,plain,
! [X3,X0] :
( ~ sP1(X0)
| ~ in(X3,sK5(X0))
| subset(X3,sK6(X0,X3)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f3071,plain,
( ~ spl49_122
| ~ spl49_261 ),
inference(avatar_contradiction_clause,[],[f3070]) ).
fof(f3070,plain,
( $false
| ~ spl49_122
| ~ spl49_261 ),
inference(subsumption_resolution,[],[f3069,f1589]) ).
fof(f3069,plain,
( ~ sP1(sK34)
| ~ spl49_261 ),
inference(trivial_inequality_removal,[],[f3045]) ).
fof(f3045,plain,
( empty_set != empty_set
| ~ sP1(sK34)
| ~ spl49_261 ),
inference(superposition,[],[f196,f3001]) ).
fof(f3001,plain,
( empty_set = sK5(sK34)
| ~ spl49_261 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f196,plain,
! [X0] :
( empty_set != sK5(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f3002,plain,
( spl49_260
| spl49_261
| ~ spl49_122
| ~ spl49_252 ),
inference(avatar_split_clause,[],[f2993,f2920,f1587,f2999,f2995]) ).
fof(f2920,plain,
( spl49_252
<=> ! [X0] :
( in(sK35(X0),X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK4(sK34)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_252])]) ).
fof(f2993,plain,
( empty_set = sK5(sK34)
| in(sK35(sK5(sK34)),sK5(sK34))
| ~ spl49_122
| ~ spl49_252 ),
inference(subsumption_resolution,[],[f2989,f1589]) ).
fof(f2989,plain,
( empty_set = sK5(sK34)
| in(sK35(sK5(sK34)),sK5(sK34))
| ~ sP1(sK34)
| ~ spl49_252 ),
inference(resolution,[],[f2921,f195]) ).
fof(f2921,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK4(sK34))))
| empty_set = X0
| in(sK35(X0),X0) )
| ~ spl49_252 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f2954,plain,
( ~ spl49_122
| spl49_251 ),
inference(avatar_contradiction_clause,[],[f2953]) ).
fof(f2953,plain,
( $false
| ~ spl49_122
| spl49_251 ),
inference(subsumption_resolution,[],[f2948,f1589]) ).
fof(f2948,plain,
( ~ sP1(sK34)
| spl49_251 ),
inference(resolution,[],[f2917,f192]) ).
fof(f192,plain,
! [X0] :
( ordinal(sK4(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f2917,plain,
( ~ ordinal(sK4(sK34))
| spl49_251 ),
inference(avatar_component_clause,[],[f2915]) ).
fof(f2915,plain,
( spl49_251
<=> ordinal(sK4(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_251])]) ).
fof(f2946,plain,
( ~ spl49_122
| spl49_249 ),
inference(avatar_contradiction_clause,[],[f2945]) ).
fof(f2945,plain,
( $false
| ~ spl49_122
| spl49_249 ),
inference(subsumption_resolution,[],[f2943,f1589]) ).
fof(f2943,plain,
( ~ sP1(sK34)
| spl49_249 ),
inference(resolution,[],[f2910,f194]) ).
fof(f194,plain,
! [X0] :
( in(sK4(X0),omega)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f2910,plain,
( ~ in(sK4(sK34),omega)
| spl49_249 ),
inference(avatar_component_clause,[],[f2908]) ).
fof(f2908,plain,
( spl49_249
<=> in(sK4(sK34),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_249])]) ).
fof(f2922,plain,
( ~ spl49_249
| spl49_252
| ~ spl49_251
| ~ spl49_8
| ~ spl49_61 ),
inference(avatar_split_clause,[],[f2904,f1071,f432,f2915,f2920,f2908]) ).
fof(f432,plain,
( spl49_8
<=> ! [X2,X1] :
( in(sK35(X2),X2)
| ~ ordinal(X1)
| ~ in(X1,sK34)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| empty_set = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f1071,plain,
( spl49_61
<=> in(sK4(sK34),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).
fof(f2904,plain,
( ! [X0] :
( ~ ordinal(sK4(sK34))
| in(sK35(X0),X0)
| ~ in(sK4(sK34),omega)
| ~ element(X0,powerset(powerset(sK4(sK34))))
| empty_set = X0 )
| ~ spl49_8
| ~ spl49_61 ),
inference(resolution,[],[f1073,f433]) ).
fof(f433,plain,
( ! [X2,X1] :
( ~ in(X1,sK34)
| ~ ordinal(X1)
| in(sK35(X2),X2)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| empty_set = X2 )
| ~ spl49_8 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1073,plain,
( in(sK4(sK34),sK34)
| ~ spl49_61 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f2918,plain,
( ~ spl49_249
| spl49_250
| ~ spl49_251
| ~ spl49_7
| ~ spl49_61 ),
inference(avatar_split_clause,[],[f2903,f1071,f428,f2915,f2912,f2908]) ).
fof(f428,plain,
( spl49_7
<=> ! [X4,X2,X1] :
( sK35(X2) = X4
| ~ ordinal(X1)
| ~ in(X1,sK34)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| empty_set = X2
| ~ in(X4,X2)
| ~ subset(sK35(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).
fof(f2903,plain,
( ! [X0,X1] :
( ~ ordinal(sK4(sK34))
| sK35(X0) = X1
| ~ in(sK4(sK34),omega)
| ~ element(X0,powerset(powerset(sK4(sK34))))
| empty_set = X0
| ~ in(X1,X0)
| ~ subset(sK35(X0),X1) )
| ~ spl49_7
| ~ spl49_61 ),
inference(resolution,[],[f1073,f429]) ).
fof(f429,plain,
( ! [X2,X1,X4] :
( ~ in(X1,sK34)
| ~ ordinal(X1)
| sK35(X2) = X4
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| empty_set = X2
| ~ in(X4,X2)
| ~ subset(sK35(X2),X4) )
| ~ spl49_7 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f2902,plain,
( spl49_62
| ~ spl49_9
| spl49_152 ),
inference(avatar_split_clause,[],[f2901,f1976,f436,f1075]) ).
fof(f1075,plain,
( spl49_62
<=> sK34 = sF44(sK40(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).
fof(f2901,plain,
( sK34 = sF44(sK40(sK34))
| ~ spl49_9
| spl49_152 ),
inference(subsumption_resolution,[],[f2082,f438]) ).
fof(f2082,plain,
( sK34 = sF44(sK40(sK34))
| ~ ordinal(sK34)
| spl49_152 ),
inference(resolution,[],[f1978,f452]) ).
fof(f452,plain,
! [X0] :
( being_limit_ordinal(X0)
| sF44(sK40(X0)) = X0
| ~ ordinal(X0) ),
inference(forward_demodulation,[],[f369,f377]) ).
fof(f377,plain,
! [X8] : set_union2(X8,singleton(X8)) = sF44(X8),
introduced(function_definition,[new_symbols(definition,[sF44])]) ).
fof(f369,plain,
! [X0] :
( set_union2(sK40(X0),singleton(sK40(X0))) = X0
| being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f350,f339]) ).
fof(f339,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',d1_ordinal1) ).
fof(f350,plain,
! [X0] :
( succ(sK40(X0)) = X0
| being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( ( ~ being_limit_ordinal(X0)
| ! [X1] :
( succ(X1) != X0
| ~ ordinal(X1) ) )
& ( ( succ(sK40(X0)) = X0
& ordinal(sK40(X0)) )
| being_limit_ordinal(X0) ) )
| ~ ordinal(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f110,f190]) ).
fof(f190,plain,
! [X0] :
( ? [X2] :
( succ(X2) = X0
& ordinal(X2) )
=> ( succ(sK40(X0)) = X0
& ordinal(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ( ( ~ being_limit_ordinal(X0)
| ! [X1] :
( succ(X1) != X0
| ~ ordinal(X1) ) )
& ( ? [X2] :
( succ(X2) = X0
& ordinal(X2) )
| being_limit_ordinal(X0) ) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ordinal(X0)
=> ( ~ ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
& ~ ( ! [X2] :
( ordinal(X2)
=> succ(X2) != X0 )
& ~ being_limit_ordinal(X0) ) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ordinal(X0)
=> ( ~ ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
& ~ ( ! [X1] :
( ordinal(X1)
=> succ(X1) != X0 )
& ~ being_limit_ordinal(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',t42_ordinal1) ).
fof(f1978,plain,
( ~ being_limit_ordinal(sK34)
| spl49_152 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f2900,plain,
( spl49_122
| spl49_62
| ~ spl49_5
| ~ spl49_6
| ~ spl49_9
| spl49_63
| ~ spl49_98 ),
inference(avatar_split_clause,[],[f2899,f1368,f1079,f436,f423,f418,f1075,f1587]) ).
fof(f418,plain,
( spl49_5
<=> sP2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f1368,plain,
( spl49_98
<=> ! [X0] :
( ~ in(X0,omega)
| sF44(sK40(X0)) = X0
| ~ ordinal(X0)
| ~ element(sK36(sK34),powerset(powerset(X0)))
| sP1(X0)
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_98])]) ).
fof(f2899,plain,
( sK34 = sF44(sK40(sK34))
| sP1(sK34)
| ~ spl49_5
| ~ spl49_6
| ~ spl49_9
| spl49_63
| ~ spl49_98 ),
inference(subsumption_resolution,[],[f2898,f1080]) ).
fof(f2898,plain,
( sK34 = sF44(sK40(sK34))
| sP1(sK34)
| empty_set = sK34
| ~ spl49_5
| ~ spl49_6
| ~ spl49_9
| ~ spl49_98 ),
inference(subsumption_resolution,[],[f2897,f606]) ).
fof(f606,plain,
( element(sK36(sK34),powerset(powerset(sK34)))
| ~ spl49_5 ),
inference(resolution,[],[f331,f420]) ).
fof(f420,plain,
( sP2(sK34)
| ~ spl49_5 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f331,plain,
! [X0] :
( ~ sP2(X0)
| element(sK36(X0),powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( ! [X2] :
( ( sK37(X0,X2) != X2
& subset(X2,sK37(X0,X2))
& in(sK37(X0,X2),sK36(X0)) )
| ~ in(X2,sK36(X0)) )
& empty_set != sK36(X0)
& element(sK36(X0),powerset(powerset(X0))) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f181,f183,f182]) ).
fof(f182,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
=> ( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,sK36(X0)) )
| ~ in(X2,sK36(X0)) )
& empty_set != sK36(X0)
& element(sK36(X0),powerset(powerset(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0,X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,sK36(X0)) )
=> ( sK37(X0,X2) != X2
& subset(X2,sK37(X0,X2))
& in(sK37(X0,X2),sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
| ~ sP2(X0) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ? [X7] :
( X6 != X7
& subset(X6,X7)
& in(X7,X5) )
| ~ in(X6,X5) )
& empty_set != X5
& element(X5,powerset(powerset(X0))) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ? [X7] :
( X6 != X7
& subset(X6,X7)
& in(X7,X5) )
| ~ in(X6,X5) )
& empty_set != X5
& element(X5,powerset(powerset(X0))) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2897,plain,
( sK34 = sF44(sK40(sK34))
| ~ element(sK36(sK34),powerset(powerset(sK34)))
| sP1(sK34)
| empty_set = sK34
| ~ spl49_6
| ~ spl49_9
| ~ spl49_98 ),
inference(subsumption_resolution,[],[f2236,f438]) ).
fof(f2236,plain,
( sK34 = sF44(sK40(sK34))
| ~ ordinal(sK34)
| ~ element(sK36(sK34),powerset(powerset(sK34)))
| sP1(sK34)
| empty_set = sK34
| ~ spl49_6
| ~ spl49_98 ),
inference(resolution,[],[f1369,f425]) ).
fof(f1369,plain,
( ! [X0] :
( ~ in(X0,omega)
| sF44(sK40(X0)) = X0
| ~ ordinal(X0)
| ~ element(sK36(sK34),powerset(powerset(X0)))
| sP1(X0)
| empty_set = X0 )
| ~ spl49_98 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f2893,plain,
( ~ spl49_6
| spl49_155 ),
inference(avatar_contradiction_clause,[],[f2892]) ).
fof(f2892,plain,
( $false
| ~ spl49_6
| spl49_155 ),
inference(subsumption_resolution,[],[f2891,f425]) ).
fof(f2891,plain,
( ~ in(sK34,omega)
| spl49_155 ),
inference(resolution,[],[f1992,f347]) ).
fof(f347,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',t1_subset) ).
fof(f1992,plain,
( ~ element(sK34,omega)
| spl49_155 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f1990,plain,
( spl49_155
<=> element(sK34,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_155])]) ).
fof(f2890,plain,
( ~ spl49_155
| ~ spl49_5
| ~ spl49_62
| ~ spl49_144
| spl49_145
| ~ spl49_239 ),
inference(avatar_split_clause,[],[f2889,f2812,f1942,f1938,f1075,f418,f1990]) ).
fof(f1938,plain,
( spl49_144
<=> ordinal(sK40(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_144])]) ).
fof(f1942,plain,
( spl49_145
<=> sP0(sK40(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_145])]) ).
fof(f2812,plain,
( spl49_239
<=> ! [X0] :
( ~ element(sK36(sK34),powerset(powerset(sF44(X0))))
| ~ element(sF44(X0),omega)
| ~ ordinal(X0)
| sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_239])]) ).
fof(f2889,plain,
( ~ element(sK34,omega)
| ~ spl49_5
| ~ spl49_62
| ~ spl49_144
| spl49_145
| ~ spl49_239 ),
inference(subsumption_resolution,[],[f2888,f1943]) ).
fof(f1943,plain,
( ~ sP0(sK40(sK34))
| spl49_145 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f2888,plain,
( ~ element(sK34,omega)
| sP0(sK40(sK34))
| ~ spl49_5
| ~ spl49_62
| ~ spl49_144
| ~ spl49_239 ),
inference(subsumption_resolution,[],[f2887,f1939]) ).
fof(f1939,plain,
( ordinal(sK40(sK34))
| ~ spl49_144 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f2887,plain,
( ~ element(sK34,omega)
| ~ ordinal(sK40(sK34))
| sP0(sK40(sK34))
| ~ spl49_5
| ~ spl49_62
| ~ spl49_239 ),
inference(subsumption_resolution,[],[f2886,f606]) ).
fof(f2886,plain,
( ~ element(sK34,omega)
| ~ element(sK36(sK34),powerset(powerset(sK34)))
| ~ ordinal(sK40(sK34))
| sP0(sK40(sK34))
| ~ spl49_62
| ~ spl49_239 ),
inference(superposition,[],[f2813,f1077]) ).
fof(f1077,plain,
( sK34 = sF44(sK40(sK34))
| ~ spl49_62 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f2813,plain,
( ! [X0] :
( ~ element(sF44(X0),omega)
| ~ element(sK36(sK34),powerset(powerset(sF44(X0))))
| ~ ordinal(X0)
| sP0(X0) )
| ~ spl49_239 ),
inference(avatar_component_clause,[],[f2812]) ).
fof(f2857,plain,
( ~ spl49_5
| spl49_94
| ~ spl49_147
| spl49_238 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2856,plain,
( $false
| ~ spl49_5
| spl49_94
| ~ spl49_147
| spl49_238 ),
inference(subsumption_resolution,[],[f2855,f420]) ).
fof(f2855,plain,
( ~ sP2(sK34)
| ~ spl49_5
| spl49_94
| ~ spl49_147
| spl49_238 ),
inference(subsumption_resolution,[],[f2853,f2794]) ).
fof(f2794,plain,
( in(sK13(sK36(sK34)),sK36(sK34))
| ~ spl49_5
| spl49_94
| ~ spl49_147 ),
inference(subsumption_resolution,[],[f2784,f1342]) ).
fof(f1342,plain,
( empty_set != sK36(sK34)
| spl49_94 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1341,plain,
( spl49_94
<=> empty_set = sK36(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_94])]) ).
fof(f2784,plain,
( in(sK13(sK36(sK34)),sK36(sK34))
| empty_set = sK36(sK34)
| ~ spl49_5
| ~ spl49_147 ),
inference(resolution,[],[f1952,f606]) ).
fof(f1952,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK34)))
| in(sK13(X0),X0)
| empty_set = X0 )
| ~ spl49_147 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1951,plain,
( spl49_147
<=> ! [X0] :
( in(sK13(X0),X0)
| ~ element(X0,powerset(powerset(sK34)))
| empty_set = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_147])]) ).
fof(f2853,plain,
( ~ in(sK13(sK36(sK34)),sK36(sK34))
| ~ sP2(sK34)
| spl49_238 ),
inference(resolution,[],[f2807,f333]) ).
fof(f333,plain,
! [X2,X0] :
( in(sK37(X0,X2),sK36(X0))
| ~ in(X2,sK36(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f2807,plain,
( ~ in(sK37(sK34,sK13(sK36(sK34))),sK36(sK34))
| spl49_238 ),
inference(avatar_component_clause,[],[f2805]) ).
fof(f2805,plain,
( spl49_238
<=> in(sK37(sK34,sK13(sK36(sK34))),sK36(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_238])]) ).
fof(f2814,plain,
( ~ spl49_238
| spl49_239
| ~ spl49_5
| spl49_94
| ~ spl49_147 ),
inference(avatar_split_clause,[],[f2810,f1951,f1341,f418,f2812,f2805]) ).
fof(f2810,plain,
( ! [X0] :
( ~ element(sK36(sK34),powerset(powerset(sF44(X0))))
| sP0(X0)
| ~ ordinal(X0)
| ~ element(sF44(X0),omega)
| ~ in(sK37(sK34,sK13(sK36(sK34))),sK36(sK34)) )
| ~ spl49_5
| spl49_94
| ~ spl49_147 ),
inference(subsumption_resolution,[],[f2809,f420]) ).
fof(f2809,plain,
( ! [X0] :
( ~ element(sK36(sK34),powerset(powerset(sF44(X0))))
| sP0(X0)
| ~ ordinal(X0)
| ~ element(sF44(X0),omega)
| ~ in(sK37(sK34,sK13(sK36(sK34))),sK36(sK34))
| ~ sP2(sK34) )
| ~ spl49_5
| spl49_94
| ~ spl49_147 ),
inference(subsumption_resolution,[],[f2796,f1342]) ).
fof(f2796,plain,
( ! [X0] :
( empty_set = sK36(sK34)
| ~ element(sK36(sK34),powerset(powerset(sF44(X0))))
| sP0(X0)
| ~ ordinal(X0)
| ~ element(sF44(X0),omega)
| ~ in(sK37(sK34,sK13(sK36(sK34))),sK36(sK34))
| ~ sP2(sK34) )
| ~ spl49_5
| spl49_94
| ~ spl49_147 ),
inference(resolution,[],[f2794,f890]) ).
fof(f890,plain,
! [X2,X0,X1] :
( ~ in(sK13(X0),sK36(X1))
| empty_set = X0
| ~ element(X0,powerset(powerset(sF44(X2))))
| sP0(X2)
| ~ ordinal(X2)
| ~ element(sF44(X2),omega)
| ~ in(sK37(X1,sK13(X0)),X0)
| ~ sP2(X1) ),
inference(subsumption_resolution,[],[f888,f335]) ).
fof(f335,plain,
! [X2,X0] :
( sK37(X0,X2) != X2
| ~ in(X2,sK36(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f888,plain,
! [X2,X0,X1] :
( sK13(X0) = sK37(X1,sK13(X0))
| ~ in(sK37(X1,sK13(X0)),X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sF44(X2))))
| sP0(X2)
| ~ ordinal(X2)
| ~ element(sF44(X2),omega)
| ~ in(sK13(X0),sK36(X1))
| ~ sP2(X1) ),
inference(resolution,[],[f769,f334]) ).
fof(f334,plain,
! [X2,X0] :
( subset(X2,sK37(X0,X2))
| ~ in(X2,sK36(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f769,plain,
! [X2,X0,X1] :
( ~ subset(sK13(X0),X1)
| sK13(X0) = X1
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sF44(X2))))
| sP0(X2)
| ~ ordinal(X2)
| ~ element(sF44(X2),omega) ),
inference(subsumption_resolution,[],[f767,f299]) ).
fof(f299,plain,
~ empty(omega),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( ~ empty(omega)
& ordinal(omega)
& epsilon_connected(omega)
& epsilon_transitive(omega) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',fc1_ordinal2) ).
fof(f767,plain,
! [X2,X0,X1] :
( sK13(X0) = X1
| ~ subset(sK13(X0),X1)
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sF44(X2))))
| sP0(X2)
| ~ ordinal(X2)
| empty(omega)
| ~ element(sF44(X2),omega) ),
inference(resolution,[],[f389,f348]) ).
fof(f348,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',t2_subset) ).
fof(f389,plain,
! [X11,X8,X9] :
( ~ in(sF44(X8),omega)
| sK13(X9) = X11
| ~ subset(sK13(X9),X11)
| ~ in(X11,X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(sF44(X8))))
| sP0(X8)
| ~ ordinal(X8) ),
inference(forward_demodulation,[],[f380,f386]) ).
fof(f386,plain,
! [X8] : sF46(X8) = powerset(powerset(sF44(X8))),
inference(backward_demodulation,[],[f379,f378]) ).
fof(f378,plain,
! [X8] : powerset(sF44(X8)) = sF45(X8),
introduced(function_definition,[new_symbols(definition,[sF45])]) ).
fof(f379,plain,
! [X8] : powerset(sF45(X8)) = sF46(X8),
introduced(function_definition,[new_symbols(definition,[sF46])]) ).
fof(f380,plain,
! [X11,X8,X9] :
( sK13(X9) = X11
| ~ subset(sK13(X9),X11)
| ~ in(X11,X9)
| empty_set = X9
| ~ element(X9,sF46(X8))
| ~ in(sF44(X8),omega)
| sP0(X8)
| ~ ordinal(X8) ),
inference(definition_folding,[],[f355,f377,f379,f378,f377]) ).
fof(f355,plain,
! [X11,X8,X9] :
( sK13(X9) = X11
| ~ subset(sK13(X9),X11)
| ~ in(X11,X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(set_union2(X8,singleton(X8)))))
| ~ in(set_union2(X8,singleton(X8)),omega)
| sP0(X8)
| ~ ordinal(X8) ),
inference(definition_unfolding,[],[f209,f339,f339]) ).
fof(f209,plain,
! [X11,X8,X9] :
( sK13(X9) = X11
| ~ subset(sK13(X9),X11)
| ~ in(X11,X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(succ(X8))))
| ~ in(succ(X8),omega)
| sP0(X8)
| ~ ordinal(X8) ),
inference(cnf_transformation,[],[f137]) ).
fof(f2779,plain,
( ~ spl49_145
| ~ spl49_160
| ~ spl49_174
| spl49_175 ),
inference(avatar_contradiction_clause,[],[f2778]) ).
fof(f2778,plain,
( $false
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174
| spl49_175 ),
inference(subsumption_resolution,[],[f2777,f2198]) ).
fof(f2198,plain,
( in(sK35(sK7(sK40(sK34))),sK7(sK40(sK34)))
| ~ spl49_174 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2196,plain,
( spl49_174
<=> in(sK35(sK7(sK40(sK34))),sK7(sK40(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_174])]) ).
fof(f2777,plain,
( ~ in(sK35(sK7(sK40(sK34))),sK7(sK40(sK34)))
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174
| spl49_175 ),
inference(trivial_inequality_removal,[],[f2776]) ).
fof(f2776,plain,
( sK35(sK7(sK40(sK34))) != sK35(sK7(sK40(sK34)))
| ~ in(sK35(sK7(sK40(sK34))),sK7(sK40(sK34)))
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174
| spl49_175 ),
inference(superposition,[],[f2084,f2576]) ).
fof(f2576,plain,
( sK35(sK7(sK40(sK34))) = sK8(sK40(sK34),sK35(sK7(sK40(sK34))))
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174
| spl49_175 ),
inference(subsumption_resolution,[],[f2575,f2086]) ).
fof(f2086,plain,
( element(sK7(sK40(sK34)),powerset(powerset(sK40(sK34))))
| ~ spl49_145 ),
inference(resolution,[],[f1944,f201]) ).
fof(f201,plain,
! [X0] :
( ~ sP0(X0)
| element(sK7(X0),powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ! [X2] :
( ( sK8(X0,X2) != X2
& subset(X2,sK8(X0,X2))
& in(sK8(X0,X2),sK7(X0)) )
| ~ in(X2,sK7(X0)) )
& empty_set != sK7(X0)
& element(sK7(X0),powerset(powerset(X0)))
& in(X0,omega) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f126,f128,f127]) ).
fof(f127,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
=> ( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,sK7(X0)) )
| ~ in(X2,sK7(X0)) )
& empty_set != sK7(X0)
& element(sK7(X0),powerset(powerset(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,sK7(X0)) )
=> ( sK8(X0,X2) != X2
& subset(X2,sK8(X0,X2))
& in(sK8(X0,X2),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ( ? [X1] :
( ! [X2] :
( ? [X3] :
( X2 != X3
& subset(X2,X3)
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
& in(X0,omega) )
| ~ sP0(X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [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) )
| ~ sP0(X8) ),
inference(nnf_transformation,[],[f114]) ).
fof(f1944,plain,
( sP0(sK40(sK34))
| ~ spl49_145 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f2575,plain,
( sK35(sK7(sK40(sK34))) = sK8(sK40(sK34),sK35(sK7(sK40(sK34))))
| ~ element(sK7(sK40(sK34)),powerset(powerset(sK40(sK34))))
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174
| spl49_175 ),
inference(subsumption_resolution,[],[f2574,f2201]) ).
fof(f2201,plain,
( empty_set != sK7(sK40(sK34))
| spl49_175 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f2200,plain,
( spl49_175
<=> empty_set = sK7(sK40(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_175])]) ).
fof(f2574,plain,
( sK35(sK7(sK40(sK34))) = sK8(sK40(sK34),sK35(sK7(sK40(sK34))))
| empty_set = sK7(sK40(sK34))
| ~ element(sK7(sK40(sK34)),powerset(powerset(sK40(sK34))))
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174 ),
inference(subsumption_resolution,[],[f2573,f2269]) ).
fof(f2269,plain,
( in(sK8(sK40(sK34),sK35(sK7(sK40(sK34)))),sK7(sK40(sK34)))
| ~ spl49_145
| ~ spl49_174 ),
inference(resolution,[],[f2198,f2083]) ).
fof(f2083,plain,
( ! [X0] :
( ~ in(X0,sK7(sK40(sK34)))
| in(sK8(sK40(sK34),X0),sK7(sK40(sK34))) )
| ~ spl49_145 ),
inference(resolution,[],[f1944,f203]) ).
fof(f203,plain,
! [X2,X0] :
( ~ sP0(X0)
| ~ in(X2,sK7(X0))
| in(sK8(X0,X2),sK7(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f2573,plain,
( sK35(sK7(sK40(sK34))) = sK8(sK40(sK34),sK35(sK7(sK40(sK34))))
| ~ in(sK8(sK40(sK34),sK35(sK7(sK40(sK34)))),sK7(sK40(sK34)))
| empty_set = sK7(sK40(sK34))
| ~ element(sK7(sK40(sK34)),powerset(powerset(sK40(sK34))))
| ~ spl49_145
| ~ spl49_160
| ~ spl49_174 ),
inference(resolution,[],[f2270,f2080]) ).
fof(f2080,plain,
( ! [X0,X1] :
( ~ subset(sK35(X0),X1)
| sK35(X0) = X1
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK40(sK34)))) )
| ~ spl49_160 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2079,plain,
( spl49_160
<=> ! [X0,X1] :
( sK35(X0) = X1
| ~ subset(sK35(X0),X1)
| ~ in(X1,X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK40(sK34)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_160])]) ).
fof(f2270,plain,
( subset(sK35(sK7(sK40(sK34))),sK8(sK40(sK34),sK35(sK7(sK40(sK34)))))
| ~ spl49_145
| ~ spl49_174 ),
inference(resolution,[],[f2198,f2085]) ).
fof(f2085,plain,
( ! [X0] :
( ~ in(X0,sK7(sK40(sK34)))
| subset(X0,sK8(sK40(sK34),X0)) )
| ~ spl49_145 ),
inference(resolution,[],[f1944,f204]) ).
fof(f204,plain,
! [X2,X0] :
( ~ sP0(X0)
| ~ in(X2,sK7(X0))
| subset(X2,sK8(X0,X2)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f2084,plain,
( ! [X0] :
( sK8(sK40(sK34),X0) != X0
| ~ in(X0,sK7(sK40(sK34))) )
| ~ spl49_145 ),
inference(resolution,[],[f1944,f205]) ).
fof(f205,plain,
! [X2,X0] :
( ~ sP0(X0)
| ~ in(X2,sK7(X0))
| sK8(X0,X2) != X2 ),
inference(cnf_transformation,[],[f129]) ).
fof(f2212,plain,
( spl49_166
| ~ spl49_175 ),
inference(avatar_contradiction_clause,[],[f2211]) ).
fof(f2211,plain,
( $false
| spl49_166
| ~ spl49_175 ),
inference(subsumption_resolution,[],[f2209,f300]) ).
fof(f300,plain,
empty(empty_set),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',fc4_relat_1) ).
fof(f2209,plain,
( ~ empty(empty_set)
| spl49_166
| ~ spl49_175 ),
inference(backward_demodulation,[],[f2132,f2202]) ).
fof(f2202,plain,
( empty_set = sK7(sK40(sK34))
| ~ spl49_175 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f2132,plain,
( ~ empty(sK7(sK40(sK34)))
| spl49_166 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2131,plain,
( spl49_166
<=> empty(sK7(sK40(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_166])]) ).
fof(f2203,plain,
( spl49_174
| spl49_175
| ~ spl49_145
| ~ spl49_159 ),
inference(avatar_split_clause,[],[f2193,f2075,f1942,f2200,f2196]) ).
fof(f2075,plain,
( spl49_159
<=> ! [X0] :
( in(sK35(X0),X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK40(sK34)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_159])]) ).
fof(f2193,plain,
( empty_set = sK7(sK40(sK34))
| in(sK35(sK7(sK40(sK34))),sK7(sK40(sK34)))
| ~ spl49_145
| ~ spl49_159 ),
inference(resolution,[],[f2086,f2076]) ).
fof(f2076,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK40(sK34))))
| empty_set = X0
| in(sK35(X0),X0) )
| ~ spl49_159 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2192,plain,
( ~ spl49_145
| ~ spl49_166 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
fof(f2191,plain,
( $false
| ~ spl49_145
| ~ spl49_166 ),
inference(subsumption_resolution,[],[f2190,f1944]) ).
fof(f2190,plain,
( ~ sP0(sK40(sK34))
| ~ spl49_166 ),
inference(trivial_inequality_removal,[],[f2189]) ).
fof(f2189,plain,
( empty_set != empty_set
| ~ sP0(sK40(sK34))
| ~ spl49_166 ),
inference(superposition,[],[f202,f2146]) ).
fof(f2146,plain,
( empty_set = sK7(sK40(sK34))
| ~ spl49_166 ),
inference(resolution,[],[f2133,f352]) ).
fof(f352,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',t6_boole) ).
fof(f2133,plain,
( empty(sK7(sK40(sK34)))
| ~ spl49_166 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f202,plain,
! [X0] :
( empty_set != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f2090,plain,
( spl49_158
| ~ spl49_145 ),
inference(avatar_split_clause,[],[f2087,f1942,f2071]) ).
fof(f2071,plain,
( spl49_158
<=> in(sK40(sK34),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_158])]) ).
fof(f2087,plain,
( in(sK40(sK34),omega)
| ~ spl49_145 ),
inference(resolution,[],[f1944,f200]) ).
fof(f200,plain,
! [X0] :
( ~ sP0(X0)
| in(X0,omega) ),
inference(cnf_transformation,[],[f129]) ).
fof(f2081,plain,
( ~ spl49_158
| spl49_160
| ~ spl49_144
| ~ spl49_7
| ~ spl49_62 ),
inference(avatar_split_clause,[],[f2029,f1075,f428,f1938,f2079,f2071]) ).
fof(f2029,plain,
( ! [X0,X1] :
( ~ ordinal(sK40(sK34))
| sK35(X0) = X1
| ~ in(sK40(sK34),omega)
| ~ element(X0,powerset(powerset(sK40(sK34))))
| empty_set = X0
| ~ in(X1,X0)
| ~ subset(sK35(X0),X1) )
| ~ spl49_7
| ~ spl49_62 ),
inference(resolution,[],[f1921,f429]) ).
fof(f1921,plain,
( in(sK40(sK34),sK34)
| ~ spl49_62 ),
inference(superposition,[],[f448,f1077]) ).
fof(f448,plain,
! [X0] : in(X0,sF44(X0)),
inference(forward_demodulation,[],[f367,f377]) ).
fof(f367,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f345,f339]) ).
fof(f345,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',t10_ordinal1) ).
fof(f2077,plain,
( ~ spl49_158
| spl49_159
| ~ spl49_144
| ~ spl49_8
| ~ spl49_62 ),
inference(avatar_split_clause,[],[f2030,f1075,f432,f1938,f2075,f2071]) ).
fof(f2030,plain,
( ! [X0] :
( ~ ordinal(sK40(sK34))
| in(sK35(X0),X0)
| ~ in(sK40(sK34),omega)
| ~ element(X0,powerset(powerset(sK40(sK34))))
| empty_set = X0 )
| ~ spl49_8
| ~ spl49_62 ),
inference(resolution,[],[f1921,f433]) ).
fof(f2068,plain,
( ~ spl49_9
| ~ spl49_62
| spl49_144 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2067,plain,
( $false
| ~ spl49_9
| ~ spl49_62
| spl49_144 ),
inference(subsumption_resolution,[],[f2066,f438]) ).
fof(f2066,plain,
( ~ ordinal(sK34)
| ~ spl49_62
| spl49_144 ),
inference(forward_demodulation,[],[f2063,f1077]) ).
fof(f2063,plain,
( ~ ordinal(sF44(sK40(sK34)))
| spl49_144 ),
inference(resolution,[],[f2056,f448]) ).
fof(f2056,plain,
( ! [X0] :
( ~ in(sK40(sK34),X0)
| ~ ordinal(X0) )
| spl49_144 ),
inference(resolution,[],[f2000,f347]) ).
fof(f2000,plain,
( ! [X0] :
( ~ element(sK40(sK34),X0)
| ~ ordinal(X0) )
| spl49_144 ),
inference(resolution,[],[f1940,f306]) ).
fof(f306,plain,
! [X0,X1] :
( ordinal(X1)
| ~ element(X1,X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1) )
| ~ element(X1,X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( element(X1,X0)
=> ( ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',cc1_arytm_3) ).
fof(f1940,plain,
( ~ ordinal(sK40(sK34))
| spl49_144 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f2005,plain,
( spl49_152
| ~ spl49_9
| spl49_144 ),
inference(avatar_split_clause,[],[f2004,f1938,f436,f1976]) ).
fof(f2004,plain,
( being_limit_ordinal(sK34)
| ~ spl49_9
| spl49_144 ),
inference(subsumption_resolution,[],[f1999,f438]) ).
fof(f1999,plain,
( being_limit_ordinal(sK34)
| ~ ordinal(sK34)
| spl49_144 ),
inference(resolution,[],[f1940,f349]) ).
fof(f349,plain,
! [X0] :
( ordinal(sK40(X0))
| being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f1998,plain,
( ~ spl49_144
| spl49_145
| spl49_147
| ~ spl49_155
| ~ spl49_62 ),
inference(avatar_split_clause,[],[f1933,f1075,f1990,f1951,f1942,f1938]) ).
fof(f1933,plain,
( ! [X0] :
( ~ element(sK34,omega)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK34)))
| sP0(sK40(sK34))
| ~ ordinal(sK40(sK34))
| in(sK13(X0),X0) )
| ~ spl49_62 ),
inference(duplicate_literal_removal,[],[f1932]) ).
fof(f1932,plain,
( ! [X0] :
( ~ element(sK34,omega)
| empty_set = X0
| ~ element(X0,powerset(powerset(sK34)))
| sP0(sK40(sK34))
| ~ ordinal(sK40(sK34))
| in(sK13(X0),X0)
| ~ ordinal(sK40(sK34)) )
| ~ spl49_62 ),
inference(superposition,[],[f833,f1077]) ).
fof(f833,plain,
! [X0,X1] :
( ~ element(sF44(X0),omega)
| empty_set = X1
| ~ element(X1,powerset(powerset(sF44(X0))))
| sP0(sK40(sF44(X0)))
| ~ ordinal(sK40(sF44(X0)))
| in(sK13(X1),X1)
| ~ ordinal(X0) ),
inference(superposition,[],[f720,f646]) ).
fof(f646,plain,
! [X0] :
( sF44(X0) = sF44(sK40(sF44(X0)))
| ~ ordinal(X0) ),
inference(subsumption_resolution,[],[f644,f409]) ).
fof(f409,plain,
! [X0] :
( ordinal(sF44(X0))
| ~ ordinal(X0) ),
inference(forward_demodulation,[],[f363,f377]) ).
fof(f363,plain,
! [X0] :
( ordinal(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f323,f339]) ).
fof(f323,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ordinal(X0)
=> ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',fc3_ordinal1) ).
fof(f644,plain,
! [X0] :
( sF44(X0) = sF44(sK40(sF44(X0)))
| ~ ordinal(sF44(X0))
| ~ ordinal(X0) ),
inference(resolution,[],[f452,f451]) ).
fof(f451,plain,
! [X1] :
( ~ being_limit_ordinal(sF44(X1))
| ~ ordinal(X1) ),
inference(subsumption_resolution,[],[f450,f409]) ).
fof(f450,plain,
! [X1] :
( ~ ordinal(sF44(X1))
| ~ being_limit_ordinal(sF44(X1))
| ~ ordinal(X1) ),
inference(forward_demodulation,[],[f449,f377]) ).
fof(f449,plain,
! [X1] :
( ~ being_limit_ordinal(sF44(X1))
| ~ ordinal(X1)
| ~ ordinal(set_union2(X1,singleton(X1))) ),
inference(forward_demodulation,[],[f370,f377]) ).
fof(f370,plain,
! [X1] :
( ~ being_limit_ordinal(set_union2(X1,singleton(X1)))
| ~ ordinal(X1)
| ~ ordinal(set_union2(X1,singleton(X1))) ),
inference(equality_resolution,[],[f368]) ).
fof(f368,plain,
! [X0,X1] :
( ~ being_limit_ordinal(X0)
| set_union2(X1,singleton(X1)) != X0
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f351,f339]) ).
fof(f351,plain,
! [X0,X1] :
( ~ being_limit_ordinal(X0)
| succ(X1) != X0
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f720,plain,
! [X0,X1] :
( ~ element(sF44(X1),omega)
| empty_set = X0
| ~ element(X0,powerset(powerset(sF44(X1))))
| sP0(X1)
| ~ ordinal(X1)
| in(sK13(X0),X0) ),
inference(subsumption_resolution,[],[f718,f299]) ).
fof(f718,plain,
! [X0,X1] :
( in(sK13(X0),X0)
| empty_set = X0
| ~ element(X0,powerset(powerset(sF44(X1))))
| sP0(X1)
| ~ ordinal(X1)
| empty(omega)
| ~ element(sF44(X1),omega) ),
inference(resolution,[],[f390,f348]) ).
fof(f390,plain,
! [X8,X9] :
( ~ in(sF44(X8),omega)
| in(sK13(X9),X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(sF44(X8))))
| sP0(X8)
| ~ ordinal(X8) ),
inference(forward_demodulation,[],[f381,f386]) ).
fof(f381,plain,
! [X8,X9] :
( in(sK13(X9),X9)
| empty_set = X9
| ~ element(X9,sF46(X8))
| ~ in(sF44(X8),omega)
| sP0(X8)
| ~ ordinal(X8) ),
inference(definition_folding,[],[f356,f377,f379,f378,f377]) ).
fof(f356,plain,
! [X8,X9] :
( in(sK13(X9),X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(set_union2(X8,singleton(X8)))))
| ~ in(set_union2(X8,singleton(X8)),omega)
| sP0(X8)
| ~ ordinal(X8) ),
inference(definition_unfolding,[],[f208,f339,f339]) ).
fof(f208,plain,
! [X8,X9] :
( in(sK13(X9),X9)
| empty_set = X9
| ~ element(X9,powerset(powerset(succ(X8))))
| ~ in(succ(X8),omega)
| sP0(X8)
| ~ ordinal(X8) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1873,plain,
( ~ spl49_18
| spl49_63 ),
inference(avatar_contradiction_clause,[],[f1872]) ).
fof(f1872,plain,
( $false
| ~ spl49_18
| spl49_63 ),
inference(subsumption_resolution,[],[f1871,f1080]) ).
fof(f1871,plain,
( empty_set = sK34
| ~ spl49_18 ),
inference(resolution,[],[f636,f352]) ).
fof(f636,plain,
( empty(sK34)
| ~ spl49_18 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl49_18
<=> empty(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_18])]) ).
fof(f1849,plain,
( ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1848,plain,
( $false
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(subsumption_resolution,[],[f1847,f1645]) ).
fof(f1645,plain,
( sP2(empty_set)
| ~ spl49_5
| ~ spl49_63 ),
inference(backward_demodulation,[],[f420,f1081]) ).
fof(f1081,plain,
( empty_set = sK34
| ~ spl49_63 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1847,plain,
( ~ sP2(empty_set)
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(subsumption_resolution,[],[f1845,f1764]) ).
fof(f1764,plain,
( in(sK14(sK36(empty_set)),sK36(empty_set))
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(subsumption_resolution,[],[f1762,f1667]) ).
fof(f1667,plain,
( empty_set != sK36(empty_set)
| ~ spl49_63
| spl49_94 ),
inference(backward_demodulation,[],[f1342,f1081]) ).
fof(f1762,plain,
( in(sK14(sK36(empty_set)),sK36(empty_set))
| empty_set = sK36(empty_set)
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63 ),
inference(resolution,[],[f1685,f401]) ).
fof(f401,plain,
( ! [X12] :
( ~ element(X12,sF48)
| in(sK14(X12),X12)
| empty_set = X12 )
| ~ spl49_3 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl49_3
<=> ! [X12] :
( in(sK14(X12),X12)
| ~ element(X12,sF48)
| empty_set = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f1685,plain,
( element(sK36(empty_set),sF48)
| ~ spl49_5
| ~ spl49_63 ),
inference(forward_demodulation,[],[f1684,f383]) ).
fof(f383,plain,
powerset(sF47) = sF48,
introduced(function_definition,[new_symbols(definition,[sF48])]) ).
fof(f1684,plain,
( element(sK36(empty_set),powerset(sF47))
| ~ spl49_5
| ~ spl49_63 ),
inference(forward_demodulation,[],[f1650,f382]) ).
fof(f382,plain,
powerset(empty_set) = sF47,
introduced(function_definition,[new_symbols(definition,[sF47])]) ).
fof(f1650,plain,
( element(sK36(empty_set),powerset(powerset(empty_set)))
| ~ spl49_5
| ~ spl49_63 ),
inference(backward_demodulation,[],[f606,f1081]) ).
fof(f1845,plain,
( ~ in(sK14(sK36(empty_set)),sK36(empty_set))
| ~ sP2(empty_set)
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(resolution,[],[f1820,f333]) ).
fof(f1820,plain,
( ~ in(sK37(empty_set,sK14(sK36(empty_set))),sK36(empty_set))
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(subsumption_resolution,[],[f1819,f1645]) ).
fof(f1819,plain,
( ~ in(sK37(empty_set,sK14(sK36(empty_set))),sK36(empty_set))
| ~ sP2(empty_set)
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(subsumption_resolution,[],[f1818,f1685]) ).
fof(f1818,plain,
( ~ in(sK37(empty_set,sK14(sK36(empty_set))),sK36(empty_set))
| ~ element(sK36(empty_set),sF48)
| ~ sP2(empty_set)
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(subsumption_resolution,[],[f1815,f1667]) ).
fof(f1815,plain,
( empty_set = sK36(empty_set)
| ~ in(sK37(empty_set,sK14(sK36(empty_set))),sK36(empty_set))
| ~ element(sK36(empty_set),sF48)
| ~ sP2(empty_set)
| ~ spl49_2
| ~ spl49_3
| ~ spl49_5
| ~ spl49_63
| spl49_94 ),
inference(resolution,[],[f1764,f1759]) ).
fof(f1759,plain,
( ! [X0,X1] :
( ~ in(sK14(X0),sK36(X1))
| empty_set = X0
| ~ in(sK37(X1,sK14(X0)),X0)
| ~ element(X0,sF48)
| ~ sP2(X1) )
| ~ spl49_2 ),
inference(subsumption_resolution,[],[f1757,f335]) ).
fof(f1757,plain,
( ! [X0,X1] :
( ~ element(X0,sF48)
| empty_set = X0
| ~ in(sK37(X1,sK14(X0)),X0)
| sK14(X0) = sK37(X1,sK14(X0))
| ~ in(sK14(X0),sK36(X1))
| ~ sP2(X1) )
| ~ spl49_2 ),
inference(resolution,[],[f397,f334]) ).
fof(f397,plain,
( ! [X14,X12] :
( ~ subset(sK14(X12),X14)
| ~ element(X12,sF48)
| empty_set = X12
| ~ in(X14,X12)
| sK14(X12) = X14 )
| ~ spl49_2 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl49_2
<=> ! [X12,X14] :
( sK14(X12) = X14
| ~ element(X12,sF48)
| empty_set = X12
| ~ in(X14,X12)
| ~ subset(sK14(X12),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f1687,plain,
( spl49_18
| ~ spl49_63 ),
inference(avatar_contradiction_clause,[],[f1686]) ).
fof(f1686,plain,
( $false
| spl49_18
| ~ spl49_63 ),
inference(subsumption_resolution,[],[f1652,f300]) ).
fof(f1652,plain,
( ~ empty(empty_set)
| spl49_18
| ~ spl49_63 ),
inference(backward_demodulation,[],[f635,f1081]) ).
fof(f635,plain,
( ~ empty(sK34)
| spl49_18 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f1644,plain,
( ~ spl49_5
| ~ spl49_94 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f1643,plain,
( $false
| ~ spl49_5
| ~ spl49_94 ),
inference(subsumption_resolution,[],[f1642,f420]) ).
fof(f1642,plain,
( ~ sP2(sK34)
| ~ spl49_94 ),
inference(trivial_inequality_removal,[],[f1630]) ).
fof(f1630,plain,
( empty_set != empty_set
| ~ sP2(sK34)
| ~ spl49_94 ),
inference(superposition,[],[f332,f1343]) ).
fof(f1343,plain,
( empty_set = sK36(sK34)
| ~ spl49_94 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f332,plain,
! [X0] :
( empty_set != sK36(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f1614,plain,
( spl49_61
| ~ spl49_122 ),
inference(avatar_split_clause,[],[f1597,f1587,f1071]) ).
fof(f1597,plain,
( in(sK4(sK34),sK34)
| ~ spl49_122 ),
inference(resolution,[],[f1589,f193]) ).
fof(f193,plain,
! [X0] :
( ~ sP1(X0)
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1516,plain,
( ~ spl49_5
| ~ spl49_93
| spl49_97 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl49_5
| ~ spl49_93
| spl49_97 ),
inference(subsumption_resolution,[],[f1514,f420]) ).
fof(f1514,plain,
( ~ sP2(sK34)
| ~ spl49_93
| spl49_97 ),
inference(subsumption_resolution,[],[f1512,f1339]) ).
fof(f1339,plain,
( in(sK12(sK36(sK34)),sK36(sK34))
| ~ spl49_93 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1337,plain,
( spl49_93
<=> in(sK12(sK36(sK34)),sK36(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_93])]) ).
fof(f1512,plain,
( ~ in(sK12(sK36(sK34)),sK36(sK34))
| ~ sP2(sK34)
| spl49_97 ),
inference(resolution,[],[f1366,f333]) ).
fof(f1366,plain,
( ~ in(sK37(sK34,sK12(sK36(sK34))),sK36(sK34))
| spl49_97 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1364,plain,
( spl49_97
<=> in(sK37(sK34,sK12(sK36(sK34))),sK36(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_97])]) ).
fof(f1370,plain,
( ~ spl49_97
| spl49_98
| spl49_94
| ~ spl49_5
| ~ spl49_93 ),
inference(avatar_split_clause,[],[f1362,f1337,f418,f1341,f1368,f1364]) ).
fof(f1362,plain,
( ! [X0] :
( empty_set = sK36(sK34)
| ~ in(X0,omega)
| empty_set = X0
| sP1(X0)
| ~ element(sK36(sK34),powerset(powerset(X0)))
| ~ ordinal(X0)
| sF44(sK40(X0)) = X0
| ~ in(sK37(sK34,sK12(sK36(sK34))),sK36(sK34)) )
| ~ spl49_5
| ~ spl49_93 ),
inference(subsumption_resolution,[],[f1359,f420]) ).
fof(f1359,plain,
( ! [X0] :
( empty_set = sK36(sK34)
| ~ in(X0,omega)
| empty_set = X0
| sP1(X0)
| ~ element(sK36(sK34),powerset(powerset(X0)))
| ~ ordinal(X0)
| sF44(sK40(X0)) = X0
| ~ in(sK37(sK34,sK12(sK36(sK34))),sK36(sK34))
| ~ sP2(sK34) )
| ~ spl49_93 ),
inference(resolution,[],[f1339,f896]) ).
fof(f896,plain,
! [X2,X0,X1] :
( ~ in(sK12(X0),sK36(X1))
| empty_set = X0
| ~ in(X2,omega)
| empty_set = X2
| sP1(X2)
| ~ element(X0,powerset(powerset(X2)))
| ~ ordinal(X2)
| sF44(sK40(X2)) = X2
| ~ in(sK37(X1,sK12(X0)),X0)
| ~ sP2(X1) ),
inference(subsumption_resolution,[],[f894,f335]) ).
fof(f894,plain,
! [X2,X0,X1] :
( sK12(X0) = sK37(X1,sK12(X0))
| ~ in(sK37(X1,sK12(X0)),X0)
| empty_set = X0
| ~ in(X2,omega)
| empty_set = X2
| sP1(X2)
| ~ element(X0,powerset(powerset(X2)))
| ~ ordinal(X2)
| sF44(sK40(X2)) = X2
| ~ in(sK12(X0),sK36(X1))
| ~ sP2(X1) ),
inference(resolution,[],[f773,f334]) ).
fof(f773,plain,
! [X2,X0,X1] :
( ~ subset(sK12(X0),X1)
| sK12(X0) = X1
| ~ in(X1,X0)
| empty_set = X0
| ~ in(X2,omega)
| empty_set = X2
| sP1(X2)
| ~ element(X0,powerset(powerset(X2)))
| ~ ordinal(X2)
| sF44(sK40(X2)) = X2 ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f772,plain,
! [X2,X0,X1] :
( sK12(X0) = X1
| ~ subset(sK12(X0),X1)
| ~ in(X1,X0)
| empty_set = X0
| ~ in(X2,omega)
| empty_set = X2
| sP1(X2)
| ~ element(X0,powerset(powerset(X2)))
| ~ ordinal(X2)
| sF44(sK40(X2)) = X2
| ~ ordinal(X2) ),
inference(resolution,[],[f387,f452]) ).
fof(f387,plain,
! [X7,X4,X5] :
( ~ being_limit_ordinal(X4)
| sK12(X5) = X7
| ~ subset(sK12(X5),X7)
| ~ in(X7,X5)
| empty_set = X5
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ element(X5,powerset(powerset(X4)))
| ~ ordinal(X4) ),
inference(forward_demodulation,[],[f375,f374]) ).
fof(f375,plain,
! [X7,X4,X5] :
( sK12(X5) = X7
| ~ subset(sK12(X5),X7)
| ~ in(X7,X5)
| empty_set = X5
| ~ element(X5,sF43(X4))
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ being_limit_ordinal(X4)
| ~ ordinal(X4) ),
inference(definition_folding,[],[f211,f374]) ).
fof(f211,plain,
! [X7,X4,X5] :
( sK12(X5) = X7
| ~ subset(sK12(X5),X7)
| ~ in(X7,X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(X4)))
| ~ in(X4,omega)
| empty_set = X4
| sP1(X4)
| ~ being_limit_ordinal(X4)
| ~ ordinal(X4) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1344,plain,
( spl49_93
| spl49_94
| ~ spl49_5
| ~ spl49_64 ),
inference(avatar_split_clause,[],[f1314,f1083,f418,f1341,f1337]) ).
fof(f1314,plain,
( empty_set = sK36(sK34)
| in(sK12(sK36(sK34)),sK36(sK34))
| ~ spl49_5
| ~ spl49_64 ),
inference(resolution,[],[f1084,f606]) ).
fof(f1084,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK34)))
| empty_set = X0
| in(sK12(X0),X0) )
| ~ spl49_64 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1183,plain,
( ~ spl49_24
| spl49_23
| spl49_23
| ~ spl49_10
| ~ spl49_11 ),
inference(avatar_split_clause,[],[f1182,f445,f441,f685,f685,f690]) ).
fof(f690,plain,
( spl49_24
<=> in(sK11(sK38(sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_24])]) ).
fof(f685,plain,
( spl49_23
<=> ! [X0] :
( ~ ordinal(X0)
| ~ element(sK10,powerset(powerset(X0)))
| ~ in(X0,omega) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_23])]) ).
fof(f441,plain,
( spl49_10
<=> ! [X0,X1,X3] :
( sK38(X1) = X3
| ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| ~ in(X3,X1)
| ~ subset(sK38(X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f445,plain,
( spl49_11
<=> ! [X0,X1] :
( in(sK38(X1),X1)
| ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_11])]) ).
fof(f1182,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(sK10,powerset(powerset(X0)))
| ~ in(X1,omega)
| ~ element(sK10,powerset(powerset(X1)))
| ~ in(sK11(sK38(sK10)),sK10)
| ~ ordinal(X1) )
| ~ spl49_10
| ~ spl49_11 ),
inference(subsumption_resolution,[],[f1102,f215]) ).
fof(f215,plain,
empty_set != sK10,
inference(cnf_transformation,[],[f137]) ).
fof(f1102,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(sK10,powerset(powerset(X0)))
| empty_set = sK10
| ~ in(X1,omega)
| ~ element(sK10,powerset(powerset(X1)))
| ~ in(sK11(sK38(sK10)),sK10)
| ~ ordinal(X1) )
| ~ spl49_10
| ~ spl49_11 ),
inference(duplicate_literal_removal,[],[f1091]) ).
fof(f1091,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(sK10,powerset(powerset(X0)))
| empty_set = sK10
| ~ in(X1,omega)
| ~ element(sK10,powerset(powerset(X1)))
| empty_set = sK10
| ~ in(sK11(sK38(sK10)),sK10)
| ~ ordinal(X1) )
| ~ spl49_10
| ~ spl49_11 ),
inference(resolution,[],[f446,f760]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ in(sK38(X1),sK10)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| ~ in(sK11(sK38(X1)),X1)
| ~ ordinal(X0) )
| ~ spl49_10 ),
inference(subsumption_resolution,[],[f758,f218]) ).
fof(f218,plain,
! [X2] :
( ~ in(X2,sK10)
| sK11(X2) != X2 ),
inference(cnf_transformation,[],[f137]) ).
fof(f758,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| ~ in(sK11(sK38(X1)),X1)
| sK38(X1) = sK11(sK38(X1))
| ~ in(sK38(X1),sK10) )
| ~ spl49_10 ),
inference(resolution,[],[f442,f217]) ).
fof(f217,plain,
! [X2] :
( subset(X2,sK11(X2))
| ~ in(X2,sK10) ),
inference(cnf_transformation,[],[f137]) ).
fof(f442,plain,
( ! [X3,X0,X1] :
( ~ subset(sK38(X1),X3)
| ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| ~ in(X3,X1)
| sK38(X1) = X3 )
| ~ spl49_10 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f446,plain,
( ! [X0,X1] :
( in(sK38(X1),X1)
| ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1 )
| ~ spl49_11 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f1179,plain,
( spl49_24
| spl49_23
| ~ spl49_11 ),
inference(avatar_split_clause,[],[f1178,f445,f685,f690]) ).
fof(f1178,plain,
( ! [X0] :
( ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(sK10,powerset(powerset(X0)))
| in(sK11(sK38(sK10)),sK10) )
| ~ spl49_11 ),
inference(subsumption_resolution,[],[f1098,f215]) ).
fof(f1098,plain,
( ! [X0] :
( ~ ordinal(X0)
| ~ in(X0,omega)
| ~ element(sK10,powerset(powerset(X0)))
| empty_set = sK10
| in(sK11(sK38(sK10)),sK10) )
| ~ spl49_11 ),
inference(resolution,[],[f446,f216]) ).
fof(f216,plain,
! [X2] :
( ~ in(X2,sK10)
| in(sK11(X2),sK10) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1175,plain,
~ spl49_23,
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1174,plain,
( $false
| ~ spl49_23 ),
inference(subsumption_resolution,[],[f1173,f373]) ).
fof(f373,plain,
element(sK10,sF42),
inference(definition_folding,[],[f214,f372,f371]) ).
fof(f371,plain,
powerset(sK9) = sF41,
introduced(function_definition,[new_symbols(definition,[sF41])]) ).
fof(f372,plain,
powerset(sF41) = sF42,
introduced(function_definition,[new_symbols(definition,[sF42])]) ).
fof(f214,plain,
element(sK10,powerset(powerset(sK9))),
inference(cnf_transformation,[],[f137]) ).
fof(f1173,plain,
( ~ element(sK10,sF42)
| ~ spl49_23 ),
inference(forward_demodulation,[],[f1172,f372]) ).
fof(f1172,plain,
( ~ element(sK10,powerset(sF41))
| ~ spl49_23 ),
inference(forward_demodulation,[],[f1171,f371]) ).
fof(f1171,plain,
( ~ element(sK10,powerset(powerset(sK9)))
| ~ spl49_23 ),
inference(subsumption_resolution,[],[f1167,f212]) ).
fof(f212,plain,
ordinal(sK9),
inference(cnf_transformation,[],[f137]) ).
fof(f1167,plain,
( ~ element(sK10,powerset(powerset(sK9)))
| ~ ordinal(sK9)
| ~ spl49_23 ),
inference(resolution,[],[f686,f213]) ).
fof(f213,plain,
in(sK9,omega),
inference(cnf_transformation,[],[f137]) ).
fof(f686,plain,
( ! [X0] :
( ~ in(X0,omega)
| ~ element(sK10,powerset(powerset(X0)))
| ~ ordinal(X0) )
| ~ spl49_23 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f710,plain,
( spl49_1
| ~ spl49_6
| ~ spl49_18 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| spl49_1
| ~ spl49_6
| ~ spl49_18 ),
inference(subsumption_resolution,[],[f699,f394]) ).
fof(f394,plain,
( ~ in(empty_set,omega)
| spl49_1 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f392,plain,
( spl49_1
<=> in(empty_set,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).
fof(f699,plain,
( in(empty_set,omega)
| ~ spl49_6
| ~ spl49_18 ),
inference(backward_demodulation,[],[f425,f697]) ).
fof(f697,plain,
( empty_set = sK34
| ~ spl49_18 ),
inference(resolution,[],[f636,f352]) ).
fof(f447,plain,
( spl49_4
| spl49_11 ),
inference(avatar_split_clause,[],[f336,f445,f414]) ).
fof(f414,plain,
( spl49_4
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f336,plain,
! [X0,X1] :
( in(sK38(X1),X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| ~ in(X0,omega)
| ~ ordinal(X0)
| sP3 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ! [X0] :
( ! [X1] :
( ( ! [X3] :
( sK38(X1) = X3
| ~ subset(sK38(X1),X3)
| ~ in(X3,X1) )
& in(sK38(X1),X1) )
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ in(X0,omega)
| ~ ordinal(X0) )
| sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f185,f186]) ).
fof(f186,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ subset(X2,X3)
| ~ in(X3,X1) )
& in(X2,X1) )
=> ( ! [X3] :
( sK38(X1) = X3
| ~ subset(sK38(X1),X3)
| ~ in(X3,X1) )
& in(sK38(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ subset(X2,X3)
| ~ in(X3,X1) )
& in(X2,X1) )
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ in(X0,omega)
| ~ ordinal(X0) )
| sP3 ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
( ! [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)
| ~ ordinal(X8) )
| sP3 ),
inference(definition_folding,[],[f104,f118,f117]) ).
fof(f118,plain,
( ? [X0] :
( sP2(X0)
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f104,plain,
( ! [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)
| ~ ordinal(X8) )
| ? [X0] :
( ? [X5] :
( ! [X6] :
( ? [X7] :
( X6 != X7
& subset(X6,X7)
& in(X7,X5) )
| ~ in(X6,X5) )
& empty_set != X5
& element(X5,powerset(powerset(X0))) )
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
( ! [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)
| ~ ordinal(X8) )
| ? [X0] :
( ? [X5] :
( ! [X6] :
( ? [X7] :
( X6 != X7
& subset(X6,X7)
& in(X7,X5) )
| ~ in(X6,X5) )
& empty_set != X5
& element(X5,powerset(powerset(X0))) )
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X0] :
( ordinal(X0)
=> ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( ! [X3] :
~ ( ! [X4] :
( ( subset(X3,X4)
& in(X4,X2) )
=> X3 = X4 )
& in(X3,X2) )
& empty_set != X2 ) ) ) ) )
=> ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) ) ) )
=> ! [X8] :
( ordinal(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 ) ) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
( ! [X0] :
( ordinal(X0)
=> ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( ! [X3] :
~ ( ! [X4] :
( ( subset(X3,X4)
& in(X4,X2) )
=> X3 = X4 )
& in(X3,X2) )
& empty_set != X2 ) ) ) ) )
=> ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) )
& empty_set != X5 ) ) ) ) )
=> ! [X0] :
( ordinal(X0)
=> ( in(X0,omega)
=> ! [X8] :
( element(X8,powerset(powerset(X0)))
=> ~ ( ! [X9] :
~ ( ! [X10] :
( ( subset(X9,X10)
& in(X10,X8) )
=> X9 = X10 )
& in(X9,X8) )
& empty_set != X8 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YbabTTNKJ6/Vampire---4.8_16570',s2_ordinal1__e18_27__finset_1__1) ).
fof(f443,plain,
( spl49_4
| spl49_10 ),
inference(avatar_split_clause,[],[f337,f441,f414]) ).
fof(f337,plain,
! [X3,X0,X1] :
( sK38(X1) = X3
| ~ subset(sK38(X1),X3)
| ~ in(X3,X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| ~ in(X0,omega)
| ~ ordinal(X0)
| sP3 ),
inference(cnf_transformation,[],[f187]) ).
fof(f439,plain,
( ~ spl49_4
| spl49_9 ),
inference(avatar_split_clause,[],[f326,f436,f414]) ).
fof(f326,plain,
( ordinal(sK34)
| ~ sP3 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( sP2(sK34)
& in(sK34,omega)
& ! [X1] :
( ! [X2] :
( ( ! [X4] :
( sK35(X2) = X4
| ~ subset(sK35(X2),X4)
| ~ in(X4,X2) )
& in(sK35(X2),X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,sK34)
| ~ ordinal(X1) )
& ordinal(sK34) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f176,f178,f177]) ).
fof(f177,plain,
( ? [X0] :
( sP2(X0)
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) )
=> ( sP2(sK34)
& in(sK34,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,sK34)
| ~ ordinal(X1) )
& ordinal(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
=> ( ! [X4] :
( sK35(X2) = X4
| ~ subset(sK35(X2),X4)
| ~ in(X4,X2) )
& in(sK35(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ? [X0] :
( sP2(X0)
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) )
& in(X3,X2) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f118]) ).
fof(f434,plain,
( ~ spl49_4
| spl49_8 ),
inference(avatar_split_clause,[],[f327,f432,f414]) ).
fof(f327,plain,
! [X2,X1] :
( in(sK35(X2),X2)
| empty_set = X2
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,omega)
| ~ in(X1,sK34)
| ~ ordinal(X1)
| ~ sP3 ),
inference(cnf_transformation,[],[f179]) ).
fof(f430,plain,
( ~ spl49_4
| spl49_7 ),
inference(avatar_split_clause,[],[f328,f428,f414]) ).
fof(f328,plain,
! [X2,X1,X4] :
( sK35(X2) = X4
| ~ subset(sK35(X2),X4)
| ~ in(X4,X2)
| empty_set = X2
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,omega)
| ~ in(X1,sK34)
| ~ ordinal(X1)
| ~ sP3 ),
inference(cnf_transformation,[],[f179]) ).
fof(f426,plain,
( ~ spl49_4
| spl49_6 ),
inference(avatar_split_clause,[],[f329,f423,f414]) ).
fof(f329,plain,
( in(sK34,omega)
| ~ sP3 ),
inference(cnf_transformation,[],[f179]) ).
fof(f421,plain,
( ~ spl49_4
| spl49_5 ),
inference(avatar_split_clause,[],[f330,f418,f414]) ).
fof(f330,plain,
( sP2(sK34)
| ~ sP3 ),
inference(cnf_transformation,[],[f179]) ).
fof(f402,plain,
( ~ spl49_1
| spl49_3 ),
inference(avatar_split_clause,[],[f385,f400,f392]) ).
fof(f385,plain,
! [X12] :
( in(sK14(X12),X12)
| empty_set = X12
| ~ element(X12,sF48)
| ~ in(empty_set,omega) ),
inference(definition_folding,[],[f206,f383,f382]) ).
fof(f206,plain,
! [X12] :
( in(sK14(X12),X12)
| empty_set = X12
| ~ element(X12,powerset(powerset(empty_set)))
| ~ in(empty_set,omega) ),
inference(cnf_transformation,[],[f137]) ).
fof(f398,plain,
( ~ spl49_1
| spl49_2 ),
inference(avatar_split_clause,[],[f384,f396,f392]) ).
fof(f384,plain,
! [X14,X12] :
( sK14(X12) = X14
| ~ subset(sK14(X12),X14)
| ~ in(X14,X12)
| empty_set = X12
| ~ element(X12,sF48)
| ~ in(empty_set,omega) ),
inference(definition_folding,[],[f207,f383,f382]) ).
fof(f207,plain,
! [X14,X12] :
( sK14(X12) = X14
| ~ subset(sK14(X12),X14)
| ~ in(X14,X12)
| empty_set = X12
| ~ element(X12,powerset(powerset(empty_set)))
| ~ in(empty_set,omega) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU301+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:41:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.YbabTTNKJ6/Vampire---4.8_16570
% 0.62/0.84 % (16921)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.84 % (16920)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 (2995ds/34Mi)
% 0.62/0.84 % (16916)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 (2995ds/34Mi)
% 0.62/0.84 % (16918)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.84 % (16919)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.84 % (16917)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 (2995ds/51Mi)
% 0.62/0.84 % (16922)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 (2995ds/83Mi)
% 0.62/0.84 % (16923)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 (2995ds/56Mi)
% 0.62/0.86 % (16920)Instruction limit reached!
% 0.62/0.86 % (16920)------------------------------
% 0.62/0.86 % (16920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (16920)Termination reason: Unknown
% 0.62/0.86 % (16920)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (16920)Memory used [KB]: 1646
% 0.62/0.86 % (16920)Time elapsed: 0.018 s
% 0.62/0.86 % (16920)Instructions burned: 35 (million)
% 0.62/0.86 % (16920)------------------------------
% 0.62/0.86 % (16920)------------------------------
% 0.62/0.86 % (16919)Instruction limit reached!
% 0.62/0.86 % (16919)------------------------------
% 0.62/0.86 % (16919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (16919)Termination reason: Unknown
% 0.62/0.86 % (16919)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (16919)Memory used [KB]: 1577
% 0.62/0.86 % (16919)Time elapsed: 0.021 s
% 0.62/0.86 % (16919)Instructions burned: 33 (million)
% 0.62/0.86 % (16921)Instruction limit reached!
% 0.62/0.86 % (16921)------------------------------
% 0.62/0.86 % (16921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (16919)------------------------------
% 0.62/0.86 % (16919)------------------------------
% 0.62/0.86 % (16921)Termination reason: Unknown
% 0.62/0.86 % (16921)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (16921)Memory used [KB]: 1666
% 0.62/0.86 % (16921)Time elapsed: 0.021 s
% 0.62/0.86 % (16921)Instructions burned: 45 (million)
% 0.62/0.86 % (16921)------------------------------
% 0.62/0.86 % (16921)------------------------------
% 0.62/0.86 % (16924)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 (2995ds/55Mi)
% 0.62/0.86 % (16916)Instruction limit reached!
% 0.62/0.86 % (16916)------------------------------
% 0.62/0.86 % (16916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.86 % (16916)Termination reason: Unknown
% 0.62/0.86 % (16916)Termination phase: Saturation
% 0.62/0.86
% 0.62/0.86 % (16916)Memory used [KB]: 1532
% 0.62/0.86 % (16916)Time elapsed: 0.023 s
% 0.62/0.86 % (16916)Instructions burned: 34 (million)
% 0.62/0.86 % (16916)------------------------------
% 0.62/0.86 % (16916)------------------------------
% 0.76/0.86 % (16926)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 (2995ds/208Mi)
% 0.76/0.86 % (16925)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 (2995ds/50Mi)
% 0.76/0.87 % (16927)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 (2995ds/52Mi)
% 0.76/0.87 % (16917)Instruction limit reached!
% 0.76/0.87 % (16917)------------------------------
% 0.76/0.87 % (16917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.87 % (16917)Termination reason: Unknown
% 0.76/0.87 % (16917)Termination phase: Saturation
% 0.76/0.87
% 0.76/0.87 % (16917)Memory used [KB]: 1781
% 0.76/0.87 % (16917)Time elapsed: 0.032 s
% 0.76/0.87 % (16917)Instructions burned: 52 (million)
% 0.76/0.87 % (16917)------------------------------
% 0.76/0.87 % (16917)------------------------------
% 0.76/0.87 % (16923)Instruction limit reached!
% 0.76/0.87 % (16923)------------------------------
% 0.76/0.87 % (16923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.87 % (16923)Termination reason: Unknown
% 0.76/0.87 % (16923)Termination phase: Saturation
% 0.76/0.87
% 0.76/0.87 % (16923)Memory used [KB]: 1803
% 0.76/0.87 % (16923)Time elapsed: 0.033 s
% 0.76/0.87 % (16923)Instructions burned: 56 (million)
% 0.76/0.87 % (16923)------------------------------
% 0.76/0.87 % (16923)------------------------------
% 0.76/0.88 % (16928)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 (2995ds/518Mi)
% 0.76/0.88 % (16929)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 (2995ds/42Mi)
% 0.83/0.89 % (16929)Refutation not found, incomplete strategy% (16929)------------------------------
% 0.83/0.89 % (16929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.89 % (16929)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.89
% 0.83/0.89 % (16929)Memory used [KB]: 1279
% 0.83/0.89 % (16929)Time elapsed: 0.011 s
% 0.83/0.89 % (16929)Instructions burned: 17 (million)
% 0.83/0.89 % (16929)------------------------------
% 0.83/0.89 % (16929)------------------------------
% 0.83/0.89 % (16924)Instruction limit reached!
% 0.83/0.89 % (16924)------------------------------
% 0.83/0.89 % (16924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.89 % (16924)Termination reason: Unknown
% 0.83/0.89 % (16924)Termination phase: Saturation
% 0.83/0.89
% 0.83/0.89 % (16924)Memory used [KB]: 2093
% 0.83/0.89 % (16924)Time elapsed: 0.027 s
% 0.83/0.89 % (16924)Instructions burned: 55 (million)
% 0.83/0.89 % (16924)------------------------------
% 0.83/0.89 % (16924)------------------------------
% 0.83/0.89 % (16918)Instruction limit reached!
% 0.83/0.89 % (16918)------------------------------
% 0.83/0.89 % (16918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.89 % (16918)Termination reason: Unknown
% 0.83/0.89 % (16918)Termination phase: Saturation
% 0.83/0.89
% 0.83/0.89 % (16918)Memory used [KB]: 2235
% 0.83/0.89 % (16918)Time elapsed: 0.050 s
% 0.83/0.89 % (16918)Instructions burned: 78 (million)
% 0.83/0.89 % (16918)------------------------------
% 0.83/0.89 % (16918)------------------------------
% 0.83/0.89 % (16922)Instruction limit reached!
% 0.83/0.89 % (16922)------------------------------
% 0.83/0.89 % (16922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.89 % (16922)Termination reason: Unknown
% 0.83/0.89 % (16922)Termination phase: Saturation
% 0.83/0.89
% 0.83/0.89 % (16922)Memory used [KB]: 2326
% 0.83/0.89 % (16922)Time elapsed: 0.050 s
% 0.83/0.89 % (16922)Instructions burned: 83 (million)
% 0.83/0.89 % (16922)------------------------------
% 0.83/0.89 % (16922)------------------------------
% 0.83/0.89 % (16930)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 (2994ds/243Mi)
% 0.83/0.89 % (16925)Instruction limit reached!
% 0.83/0.89 % (16925)------------------------------
% 0.83/0.89 % (16925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.89 % (16931)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 (2994ds/117Mi)
% 0.83/0.89 % (16925)Termination reason: Unknown
% 0.83/0.89 % (16925)Termination phase: Saturation
% 0.83/0.89
% 0.83/0.89 % (16925)Memory used [KB]: 1596
% 0.83/0.89 % (16925)Time elapsed: 0.028 s
% 0.83/0.89 % (16925)Instructions burned: 51 (million)
% 0.83/0.89 % (16925)------------------------------
% 0.83/0.89 % (16925)------------------------------
% 0.83/0.89 % (16932)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 (2994ds/143Mi)
% 0.83/0.89 % (16933)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 (2994ds/93Mi)
% 0.83/0.89 % (16927)Instruction limit reached!
% 0.83/0.89 % (16927)------------------------------
% 0.83/0.89 % (16927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.89 % (16927)Termination reason: Unknown
% 0.83/0.89 % (16927)Termination phase: Saturation
% 0.83/0.89
% 0.83/0.89 % (16927)Memory used [KB]: 1682
% 0.83/0.89 % (16927)Time elapsed: 0.030 s
% 0.83/0.89 % (16927)Instructions burned: 53 (million)
% 0.83/0.89 % (16934)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.83/0.89 % (16927)------------------------------
% 0.83/0.89 % (16927)------------------------------
% 0.83/0.90 % (16935)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 1.03/0.92 % (16935)Instruction limit reached!
% 1.03/0.92 % (16935)------------------------------
% 1.03/0.92 % (16935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.92 % (16935)Termination reason: Unknown
% 1.03/0.92 % (16935)Termination phase: Saturation
% 1.03/0.92
% 1.03/0.92 % (16935)Memory used [KB]: 1602
% 1.03/0.92 % (16935)Time elapsed: 0.043 s
% 1.03/0.92 % (16935)Instructions burned: 32 (million)
% 1.03/0.92 % (16935)------------------------------
% 1.03/0.92 % (16935)------------------------------
% 1.03/0.92 % (16936)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 1.05/0.93 % (16934)Instruction limit reached!
% 1.05/0.93 % (16934)------------------------------
% 1.05/0.93 % (16934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.93 % (16934)Termination reason: Unknown
% 1.05/0.93 % (16934)Termination phase: Saturation
% 1.05/0.93
% 1.05/0.93 % (16934)Memory used [KB]: 1855
% 1.05/0.93 % (16934)Time elapsed: 0.057 s
% 1.05/0.93 % (16934)Instructions burned: 62 (million)
% 1.05/0.93 % (16934)------------------------------
% 1.05/0.93 % (16934)------------------------------
% 1.05/0.93 % (16937)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.05/0.95 % (16933)Instruction limit reached!
% 1.05/0.95 % (16933)------------------------------
% 1.05/0.95 % (16933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.95 % (16933)Termination reason: Unknown
% 1.05/0.95 % (16933)Termination phase: Saturation
% 1.05/0.95
% 1.05/0.95 % (16933)Memory used [KB]: 2333
% 1.05/0.95 % (16933)Time elapsed: 0.056 s
% 1.05/0.95 % (16933)Instructions burned: 93 (million)
% 1.05/0.95 % (16933)------------------------------
% 1.05/0.95 % (16933)------------------------------
% 1.05/0.95 % (16926)Instruction limit reached!
% 1.05/0.95 % (16926)------------------------------
% 1.05/0.95 % (16926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.95 % (16926)Termination reason: Unknown
% 1.05/0.95 % (16926)Termination phase: Saturation
% 1.05/0.95
% 1.05/0.95 % (16926)Memory used [KB]: 3163
% 1.05/0.95 % (16926)Time elapsed: 0.088 s
% 1.05/0.95 % (16926)Instructions burned: 208 (million)
% 1.05/0.95 % (16926)------------------------------
% 1.05/0.95 % (16926)------------------------------
% 1.05/0.95 % (16938)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.05/0.95 % (16939)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.05/0.96 % (16932)Instruction limit reached!
% 1.05/0.96 % (16932)------------------------------
% 1.05/0.96 % (16932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.96 % (16931)Instruction limit reached!
% 1.05/0.96 % (16931)------------------------------
% 1.05/0.96 % (16931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.96 % (16931)Termination reason: Unknown
% 1.05/0.96 % (16931)Termination phase: Saturation
% 1.05/0.96
% 1.05/0.96 % (16931)Memory used [KB]: 3408
% 1.05/0.96 % (16931)Time elapsed: 0.070 s
% 1.05/0.96 % (16931)Instructions burned: 117 (million)
% 1.05/0.96 % (16931)------------------------------
% 1.05/0.96 % (16931)------------------------------
% 1.05/0.96 % (16932)Termination reason: Unknown
% 1.05/0.96 % (16932)Termination phase: Saturation
% 1.05/0.96
% 1.05/0.96 % (16932)Memory used [KB]: 1740
% 1.05/0.96 % (16932)Time elapsed: 0.067 s
% 1.05/0.96 % (16932)Instructions burned: 145 (million)
% 1.05/0.96 % (16932)------------------------------
% 1.05/0.96 % (16932)------------------------------
% 1.05/0.96 % (16939)Refutation not found, incomplete strategy% (16939)------------------------------
% 1.05/0.96 % (16939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.96 % (16939)Termination reason: Refutation not found, incomplete strategy
% 1.05/0.96
% 1.05/0.96 % (16939)Memory used [KB]: 1280
% 1.05/0.96 % (16939)Time elapsed: 0.008 s
% 1.05/0.96 % (16939)Instructions burned: 14 (million)
% 1.05/0.96 % (16939)------------------------------
% 1.05/0.96 % (16939)------------------------------
% 1.05/0.96 % (16937)Instruction limit reached!
% 1.05/0.96 % (16937)------------------------------
% 1.05/0.96 % (16937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.96 % (16937)Termination reason: Unknown
% 1.05/0.96 % (16937)Termination phase: Saturation
% 1.05/0.96
% 1.05/0.96 % (16937)Memory used [KB]: 1841
% 1.05/0.96 % (16937)Time elapsed: 0.032 s
% 1.05/0.96 % (16937)Instructions burned: 56 (million)
% 1.05/0.96 % (16937)------------------------------
% 1.05/0.96 % (16937)------------------------------
% 1.05/0.96 % (16940)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.05/0.96 % (16941)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.05/0.96 % (16942)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.05/0.97 % (16943)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.05/0.98 % (16941)Instruction limit reached!
% 1.05/0.98 % (16941)------------------------------
% 1.05/0.98 % (16941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.98 % (16941)Termination reason: Unknown
% 1.05/0.98 % (16941)Termination phase: Saturation
% 1.05/0.98
% 1.05/0.98 % (16941)Memory used [KB]: 1386
% 1.05/0.98 % (16941)Time elapsed: 0.020 s
% 1.05/0.98 % (16941)Instructions burned: 35 (million)
% 1.05/0.98 % (16941)------------------------------
% 1.05/0.98 % (16941)------------------------------
% 1.05/0.98 % (16938)Instruction limit reached!
% 1.05/0.98 % (16938)------------------------------
% 1.05/0.98 % (16938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.98 % (16938)Termination reason: Unknown
% 1.05/0.98 % (16938)Termination phase: Saturation
% 1.05/0.98
% 1.05/0.98 % (16938)Memory used [KB]: 1702
% 1.05/0.98 % (16938)Time elapsed: 0.031 s
% 1.05/0.98 % (16938)Instructions burned: 53 (million)
% 1.05/0.98 % (16938)------------------------------
% 1.05/0.98 % (16938)------------------------------
% 1.05/0.98 % (16944)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2993ds/161Mi)
% 1.05/0.98 % (16945)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2993ds/69Mi)
% 1.05/1.00 % (16942)Instruction limit reached!
% 1.05/1.00 % (16942)------------------------------
% 1.05/1.00 % (16942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/1.00 % (16942)Termination reason: Unknown
% 1.05/1.00 % (16942)Termination phase: Saturation
% 1.05/1.00
% 1.05/1.00 % (16942)Memory used [KB]: 2379
% 1.05/1.00 % (16942)Time elapsed: 0.037 s
% 1.05/1.00 % (16942)Instructions burned: 88 (million)
% 1.05/1.00 % (16942)------------------------------
% 1.05/1.00 % (16942)------------------------------
% 1.05/1.00 % (16928)Refutation not found, incomplete strategy% (16928)------------------------------
% 1.05/1.00 % (16928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/1.00 % (16928)Termination reason: Refutation not found, incomplete strategy
% 1.05/1.00
% 1.05/1.00 % (16928)Memory used [KB]: 2260
% 1.05/1.00 % (16928)Time elapsed: 0.126 s
% 1.05/1.00 % (16928)Instructions burned: 227 (million)
% 1.05/1.00 % (16928)------------------------------
% 1.05/1.00 % (16928)------------------------------
% 1.05/1.00 % (16930)Instruction limit reached!
% 1.05/1.00 % (16930)------------------------------
% 1.05/1.00 % (16930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/1.00 % (16930)Termination reason: Unknown
% 1.05/1.00 % (16930)Termination phase: Saturation
% 1.05/1.00
% 1.05/1.00 % (16930)Memory used [KB]: 2467
% 1.05/1.00 % (16930)Time elapsed: 0.113 s
% 1.05/1.00 % (16930)Instructions burned: 243 (million)
% 1.05/1.00 % (16930)------------------------------
% 1.05/1.00 % (16930)------------------------------
% 1.05/1.00 % (16946)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2993ds/40Mi)
% 1.05/1.00 % (16947)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2993ds/360Mi)
% 1.05/1.00 % (16944)Refutation not found, incomplete strategy% (16944)------------------------------
% 1.05/1.00 % (16944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/1.00 % (16944)Termination reason: Refutation not found, incomplete strategy
% 1.05/1.00
% 1.05/1.00 % (16944)Memory used [KB]: 1482
% 1.05/1.00 % (16944)Time elapsed: 0.022 s
% 1.05/1.00 % (16944)Instructions burned: 37 (million)
% 1.05/1.00 % (16944)------------------------------
% 1.05/1.00 % (16944)------------------------------
% 1.05/1.01 % (16948)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2993ds/161Mi)
% 1.05/1.01 % (16949)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2993ds/80Mi)
% 1.78/1.02 % (16946)Instruction limit reached!
% 1.78/1.02 % (16946)------------------------------
% 1.78/1.02 % (16946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.02 % (16946)Termination reason: Unknown
% 1.78/1.02 % (16946)Termination phase: Saturation
% 1.78/1.02
% 1.78/1.02 % (16946)Memory used [KB]: 1656
% 1.78/1.02 % (16946)Time elapsed: 0.019 s
% 1.78/1.02 % (16946)Instructions burned: 40 (million)
% 1.78/1.02 % (16946)------------------------------
% 1.78/1.02 % (16946)------------------------------
% 1.78/1.02 % (16940)Instruction limit reached!
% 1.78/1.02 % (16940)------------------------------
% 1.78/1.02 % (16940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.02 % (16940)Termination reason: Unknown
% 1.78/1.02 % (16940)Termination phase: Saturation
% 1.78/1.02
% 1.78/1.02 % (16940)Memory used [KB]: 3103
% 1.78/1.02 % (16940)Time elapsed: 0.061 s
% 1.78/1.02 % (16940)Instructions burned: 102 (million)
% 1.78/1.02 % (16940)------------------------------
% 1.78/1.02 % (16940)------------------------------
% 1.78/1.02 % (16945)Instruction limit reached!
% 1.78/1.02 % (16945)------------------------------
% 1.78/1.02 % (16945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.02 % (16945)Termination reason: Unknown
% 1.78/1.02 % (16945)Termination phase: Saturation
% 1.78/1.02
% 1.78/1.02 % (16945)Memory used [KB]: 1912
% 1.78/1.02 % (16945)Time elapsed: 0.041 s
% 1.78/1.02 % (16945)Instructions burned: 70 (million)
% 1.78/1.02 % (16945)------------------------------
% 1.78/1.02 % (16945)------------------------------
% 1.78/1.02 % (16950)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2993ds/37Mi)
% 1.78/1.02 % (16943)Instruction limit reached!
% 1.78/1.02 % (16943)------------------------------
% 1.78/1.02 % (16943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.02 % (16943)Termination reason: Unknown
% 1.78/1.02 % (16943)Termination phase: Saturation
% 1.78/1.02
% 1.78/1.02 % (16943)Memory used [KB]: 2353
% 1.78/1.02 % (16943)Time elapsed: 0.061 s
% 1.78/1.02 % (16943)Instructions burned: 109 (million)
% 1.78/1.02 % (16943)------------------------------
% 1.78/1.02 % (16943)------------------------------
% 1.78/1.02 % (16951)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2993ds/55Mi)
% 1.78/1.03 % (16952)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2993ds/47Mi)
% 1.78/1.03 % (16953)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2993ds/32Mi)
% 1.78/1.04 % (16951)Refutation not found, incomplete strategy% (16951)------------------------------
% 1.78/1.04 % (16951)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.04 % (16951)Termination reason: Refutation not found, incomplete strategy
% 1.78/1.04
% 1.78/1.04 % (16951)Memory used [KB]: 1292
% 1.78/1.04 % (16951)Time elapsed: 0.013 s
% 1.78/1.04 % (16951)Instructions burned: 23 (million)
% 1.78/1.04 % (16951)------------------------------
% 1.78/1.04 % (16951)------------------------------
% 1.78/1.04 % (16954)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2993ds/132Mi)
% 1.78/1.04 % (16950)Instruction limit reached!
% 1.78/1.04 % (16950)------------------------------
% 1.78/1.04 % (16950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.04 % (16950)Termination reason: Unknown
% 1.78/1.04 % (16950)Termination phase: Saturation
% 1.78/1.04
% 1.78/1.04 % (16950)Memory used [KB]: 1747
% 1.78/1.04 % (16950)Time elapsed: 0.020 s
% 1.78/1.04 % (16950)Instructions burned: 38 (million)
% 1.78/1.04 % (16950)------------------------------
% 1.78/1.04 % (16950)------------------------------
% 1.78/1.04 % (16955)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2993ds/54Mi)
% 1.78/1.05 % (16953)Instruction limit reached!
% 1.78/1.05 % (16953)------------------------------
% 1.78/1.05 % (16953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.05 % (16953)Termination reason: Unknown
% 1.78/1.05 % (16953)Termination phase: Saturation
% 1.78/1.05
% 1.78/1.05 % (16953)Memory used [KB]: 1611
% 1.78/1.05 % (16953)Time elapsed: 0.021 s
% 1.78/1.05 % (16953)Instructions burned: 33 (million)
% 1.78/1.05 % (16953)------------------------------
% 1.78/1.05 % (16953)------------------------------
% 1.78/1.05 % (16954)Refutation not found, incomplete strategy% (16954)------------------------------
% 1.78/1.05 % (16954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.05 % (16954)Termination reason: Refutation not found, incomplete strategy
% 1.78/1.05
% 1.78/1.05 % (16954)Memory used [KB]: 1247
% 1.78/1.05 % (16954)Time elapsed: 0.010 s
% 1.78/1.05 % (16954)Instructions burned: 16 (million)
% 1.78/1.05 % (16954)------------------------------
% 1.78/1.05 % (16954)------------------------------
% 1.78/1.05 % (16956)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2993ds/82Mi)
% 1.78/1.05 % (16957)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 1.78/1.05 % (16949)Instruction limit reached!
% 1.78/1.05 % (16949)------------------------------
% 1.78/1.05 % (16949)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.05 % (16949)Termination reason: Unknown
% 1.78/1.05 % (16949)Termination phase: Saturation
% 1.78/1.05
% 1.78/1.05 % (16949)Memory used [KB]: 1517
% 1.78/1.05 % (16949)Time elapsed: 0.046 s
% 1.78/1.05 % (16949)Instructions burned: 81 (million)
% 1.78/1.05 % (16949)------------------------------
% 1.78/1.05 % (16949)------------------------------
% 1.78/1.05 % (16952)Instruction limit reached!
% 1.78/1.05 % (16952)------------------------------
% 1.78/1.05 % (16952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.05 % (16952)Termination reason: Unknown
% 1.78/1.05 % (16952)Termination phase: Saturation
% 1.78/1.05
% 1.78/1.05 % (16952)Memory used [KB]: 1834
% 1.78/1.05 % (16952)Time elapsed: 0.030 s
% 1.78/1.05 % (16952)Instructions burned: 48 (million)
% 1.78/1.06 % (16952)------------------------------
% 1.78/1.06 % (16952)------------------------------
% 1.78/1.06 % (16958)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/177Mi)
% 1.78/1.06 % (16959)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2993ds/117Mi)
% 1.78/1.07 % (16955)Instruction limit reached!
% 1.78/1.07 % (16955)------------------------------
% 1.78/1.07 % (16955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/1.07 % (16955)Termination reason: Unknown
% 1.78/1.07 % (16955)Termination phase: Saturation
% 1.78/1.07
% 1.78/1.07 % (16955)Memory used [KB]: 1530
% 1.78/1.07 % (16955)Time elapsed: 0.022 s
% 1.78/1.07 % (16955)Instructions burned: 54 (million)
% 1.78/1.07 % (16955)------------------------------
% 1.78/1.07 % (16955)------------------------------
% 1.78/1.07 % (16960)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2993ds/49Mi)
% 2.14/1.09 % (16948)Instruction limit reached!
% 2.14/1.09 % (16948)------------------------------
% 2.14/1.09 % (16948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.09 % (16948)Termination reason: Unknown
% 2.14/1.09 % (16948)Termination phase: Saturation
% 2.14/1.09
% 2.14/1.09 % (16948)Memory used [KB]: 2350
% 2.14/1.09 % (16948)Time elapsed: 0.087 s
% 2.14/1.09 % (16948)Instructions burned: 162 (million)
% 2.14/1.09 % (16948)------------------------------
% 2.14/1.09 % (16948)------------------------------
% 2.14/1.09 % (16960)Instruction limit reached!
% 2.14/1.09 % (16960)------------------------------
% 2.14/1.09 % (16960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.09 % (16960)Termination reason: Unknown
% 2.14/1.09 % (16960)Termination phase: Saturation
% 2.14/1.09
% 2.14/1.09 % (16960)Memory used [KB]: 1746
% 2.14/1.09 % (16960)Time elapsed: 0.024 s
% 2.14/1.09 % (16960)Instructions burned: 49 (million)
% 2.14/1.09 % (16960)------------------------------
% 2.14/1.09 % (16960)------------------------------
% 2.14/1.09 % (16956)Instruction limit reached!
% 2.14/1.09 % (16956)------------------------------
% 2.14/1.09 % (16956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.09 % (16956)Termination reason: Unknown
% 2.14/1.09 % (16956)Termination phase: Saturation
% 2.14/1.09
% 2.14/1.09 % (16956)Memory used [KB]: 2053
% 2.14/1.09 % (16956)Time elapsed: 0.043 s
% 2.14/1.09 % (16956)Instructions burned: 82 (million)
% 2.14/1.09 % (16956)------------------------------
% 2.14/1.09 % (16956)------------------------------
% 2.14/1.09 % (16961)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2992ds/51Mi)
% 2.14/1.09 % (16962)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2992ds/149Mi)
% 2.14/1.10 % (16963)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2992ds/56Mi)
% 2.14/1.10 % (16962)Refutation not found, incomplete strategy% (16962)------------------------------
% 2.14/1.10 % (16962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.10 % (16962)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.10
% 2.14/1.10 % (16962)Memory used [KB]: 1248
% 2.14/1.10 % (16962)Time elapsed: 0.007 s
% 2.14/1.10 % (16962)Instructions burned: 14 (million)
% 2.14/1.10 % (16962)------------------------------
% 2.14/1.10 % (16962)------------------------------
% 2.14/1.10 % (16964)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2992ds/289Mi)
% 2.14/1.11 % (16957)Instruction limit reached!
% 2.14/1.11 % (16957)------------------------------
% 2.14/1.11 % (16957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.11 % (16957)Termination reason: Unknown
% 2.14/1.11 % (16957)Termination phase: Saturation
% 2.14/1.11
% 2.14/1.11 % (16957)Memory used [KB]: 2096
% 2.14/1.11 % (16957)Time elapsed: 0.059 s
% 2.14/1.11 % (16957)Instructions burned: 119 (million)
% 2.14/1.11 % (16957)------------------------------
% 2.14/1.11 % (16957)------------------------------
% 2.14/1.11 % (16965)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2992ds/206Mi)
% 2.14/1.12 % (16959)Instruction limit reached!
% 2.14/1.12 % (16959)------------------------------
% 2.14/1.12 % (16959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.12 % (16959)Termination reason: Unknown
% 2.14/1.12 % (16959)Termination phase: Saturation
% 2.14/1.12
% 2.14/1.12 % (16959)Memory used [KB]: 2351
% 2.14/1.12 % (16959)Time elapsed: 0.063 s
% 2.14/1.12 % (16959)Instructions burned: 117 (million)
% 2.14/1.12 % (16959)------------------------------
% 2.14/1.12 % (16959)------------------------------
% 2.14/1.12 % (16961)Instruction limit reached!
% 2.14/1.12 % (16961)------------------------------
% 2.14/1.12 % (16961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.12 % (16961)Termination reason: Unknown
% 2.14/1.12 % (16961)Termination phase: Saturation
% 2.14/1.12
% 2.14/1.12 % (16961)Memory used [KB]: 1782
% 2.14/1.12 % (16961)Time elapsed: 0.028 s
% 2.14/1.12 % (16961)Instructions burned: 52 (million)
% 2.14/1.12 % (16961)------------------------------
% 2.14/1.12 % (16961)------------------------------
% 2.14/1.12 % (16966)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on Vampire---4 for (2992ds/50Mi)
% 2.14/1.12 % (16967)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2992ds/1483Mi)
% 2.14/1.12 % (16963)Instruction limit reached!
% 2.14/1.12 % (16963)------------------------------
% 2.14/1.12 % (16963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.12 % (16963)Termination reason: Unknown
% 2.14/1.12 % (16963)Termination phase: Saturation
% 2.14/1.12
% 2.14/1.12 % (16963)Memory used [KB]: 1757
% 2.14/1.12 % (16963)Time elapsed: 0.031 s
% 2.14/1.12 % (16963)Instructions burned: 56 (million)
% 2.14/1.12 % (16963)------------------------------
% 2.14/1.12 % (16963)------------------------------
% 2.14/1.13 % (16968)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on Vampire---4 for (2992ds/67Mi)
% 2.14/1.13 % (16966)Refutation not found, incomplete strategy% (16966)------------------------------
% 2.14/1.13 % (16966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.13 % (16966)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.13
% 2.14/1.13 % (16966)Memory used [KB]: 1421
% 2.14/1.13 % (16966)Time elapsed: 0.013 s
% 2.14/1.13 % (16966)Instructions burned: 21 (million)
% 2.14/1.14 % (16966)------------------------------
% 2.14/1.14 % (16966)------------------------------
% 2.14/1.14 % (16969)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on Vampire---4 for (2992ds/67Mi)
% 2.14/1.14 % (16958)Instruction limit reached!
% 2.14/1.14 % (16958)------------------------------
% 2.14/1.14 % (16958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.14 % (16958)Termination reason: Unknown
% 2.14/1.14 % (16958)Termination phase: Saturation
% 2.14/1.14
% 2.14/1.14 % (16958)Memory used [KB]: 2835
% 2.14/1.14 % (16958)Time elapsed: 0.091 s
% 2.14/1.14 % (16958)Instructions burned: 178 (million)
% 2.14/1.14 % (16958)------------------------------
% 2.14/1.14 % (16958)------------------------------
% 2.14/1.15 % (16970)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on Vampire---4 for (2992ds/52Mi)
% 2.14/1.16 % (16968)Instruction limit reached!
% 2.14/1.16 % (16968)------------------------------
% 2.14/1.16 % (16968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.16 % (16968)Termination reason: Unknown
% 2.14/1.16 % (16968)Termination phase: Saturation
% 2.14/1.16
% 2.14/1.16 % (16968)Memory used [KB]: 1641
% 2.14/1.16 % (16968)Time elapsed: 0.034 s
% 2.14/1.16 % (16968)Instructions burned: 69 (million)
% 2.14/1.16 % (16968)------------------------------
% 2.14/1.16 % (16968)------------------------------
% 2.14/1.16 % (16972)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on Vampire---4 for (2992ds/366Mi)
% 2.14/1.17 % (16969)Instruction limit reached!
% 2.14/1.17 % (16969)------------------------------
% 2.14/1.17 % (16969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.17 % (16969)Termination reason: Unknown
% 2.14/1.17 % (16969)Termination phase: Saturation
% 2.14/1.17
% 2.14/1.17 % (16969)Memory used [KB]: 1671
% 2.14/1.17 % (16969)Time elapsed: 0.033 s
% 2.14/1.17 % (16969)Instructions burned: 68 (million)
% 2.14/1.17 % (16969)------------------------------
% 2.14/1.17 % (16969)------------------------------
% 2.14/1.17 % (16973)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on Vampire---4 for (2992ds/863Mi)
% 2.14/1.17 % (16947)Instruction limit reached!
% 2.14/1.17 % (16947)------------------------------
% 2.14/1.17 % (16947)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.17 % (16947)Termination reason: Unknown
% 2.14/1.17 % (16947)Termination phase: Saturation
% 2.14/1.17
% 2.14/1.17 % (16947)Memory used [KB]: 4447
% 2.14/1.17 % (16947)Time elapsed: 0.172 s
% 2.14/1.17 % (16947)Instructions burned: 360 (million)
% 2.14/1.17 % (16947)------------------------------
% 2.14/1.17 % (16947)------------------------------
% 2.14/1.18 % (16970)Instruction limit reached!
% 2.14/1.18 % (16970)------------------------------
% 2.14/1.18 % (16970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.18 % (16970)Termination reason: Unknown
% 2.14/1.18 % (16970)Termination phase: Saturation
% 2.14/1.18
% 2.14/1.18 % (16970)Memory used [KB]: 1630
% 2.14/1.18 % (16970)Time elapsed: 0.029 s
% 2.14/1.18 % (16970)Instructions burned: 52 (million)
% 2.14/1.18 % (16970)------------------------------
% 2.14/1.18 % (16970)------------------------------
% 2.14/1.18 % (16974)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on Vampire---4 for (2992ds/163Mi)
% 2.14/1.18 % (16975)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on Vampire---4 for (2992ds/77Mi)
% 2.14/1.19 % (16974)Refutation not found, incomplete strategy% (16974)------------------------------
% 2.14/1.19 % (16974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/1.19 % (16974)Termination reason: Refutation not found, incomplete strategy
% 2.14/1.19
% 2.14/1.19 % (16974)Memory used [KB]: 1274
% 2.14/1.19 % (16974)Time elapsed: 0.010 s
% 2.14/1.19 % (16974)Instructions burned: 18 (million)
% 3.31/1.19 % (16974)------------------------------
% 3.31/1.19 % (16974)------------------------------
% 3.31/1.19 % (16976)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on Vampire---4 for (2991ds/1548Mi)
% 3.43/1.21 % (16967)First to succeed.
% 3.43/1.21 % (16972)Refutation not found, incomplete strategy% (16972)------------------------------
% 3.43/1.21 % (16972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.43/1.21 % (16972)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.21
% 3.43/1.21 % (16972)Memory used [KB]: 1894
% 3.43/1.21 % (16972)Time elapsed: 0.052 s
% 3.43/1.21 % (16972)Instructions burned: 97 (million)
% 3.43/1.21 % (16972)------------------------------
% 3.43/1.21 % (16972)------------------------------
% 3.43/1.22 % (16975)Instruction limit reached!
% 3.43/1.22 % (16975)------------------------------
% 3.43/1.22 % (16975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.43/1.22 % (16975)Termination reason: Unknown
% 3.43/1.22 % (16975)Termination phase: Saturation
% 3.43/1.22
% 3.43/1.22 % (16975)Memory used [KB]: 2131
% 3.43/1.22 % (16975)Time elapsed: 0.059 s
% 3.43/1.22 % (16975)Instructions burned: 77 (million)
% 3.43/1.22 % (16975)------------------------------
% 3.43/1.22 % (16975)------------------------------
% 3.43/1.22 % (16977)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on Vampire---4 for (2991ds/76Mi)
% 3.43/1.22 % (16978)dis+1010_111129:1048576_sfv=off:drc=encompass:sil=2000:tgt=full:sp=reverse_arity:spb=goal:rnwc=on:fd=preordered:rp=on:nwc=6.5667:i=1376:kws=arity_squared:bd=off:nm=0:uhcvi=on:rawr=on:av=off:erd=off:cond=on:lcm=reverse_0 on Vampire---4 for (2991ds/1376Mi)
% 3.43/1.22 % (16964)Instruction limit reached!
% 3.43/1.22 % (16964)------------------------------
% 3.43/1.22 % (16964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.43/1.22 % (16964)Termination reason: Unknown
% 3.43/1.22 % (16964)Termination phase: Saturation
% 3.43/1.22
% 3.43/1.22 % (16964)Memory used [KB]: 4630
% 3.43/1.22 % (16964)Time elapsed: 0.120 s
% 3.43/1.22 % (16964)Instructions burned: 290 (million)
% 3.43/1.22 % (16964)------------------------------
% 3.43/1.22 % (16964)------------------------------
% 3.43/1.22 % (16967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16822"
% 3.43/1.22 % (16965)Instruction limit reached!
% 3.43/1.22 % (16965)------------------------------
% 3.43/1.22 % (16965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.43/1.22 % (16965)Termination reason: Unknown
% 3.43/1.22 % (16965)Termination phase: Saturation
% 3.43/1.22
% 3.43/1.22 % (16965)Memory used [KB]: 3258
% 3.43/1.22 % (16965)Time elapsed: 0.111 s
% 3.43/1.22 % (16965)Instructions burned: 206 (million)
% 3.43/1.22 % (16965)------------------------------
% 3.43/1.22 % (16965)------------------------------
% 3.43/1.22 % (16967)Refutation found. Thanks to Tanya!
% 3.43/1.22 % SZS status Theorem for Vampire---4
% 3.43/1.22 % SZS output start Proof for Vampire---4
% See solution above
% 3.43/1.23 % (16967)------------------------------
% 3.43/1.23 % (16967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.43/1.23 % (16967)Termination reason: Refutation
% 3.43/1.23
% 3.43/1.23 % (16967)Memory used [KB]: 2467
% 3.43/1.23 % (16967)Time elapsed: 0.100 s
% 3.43/1.23 % (16967)Instructions burned: 179 (million)
% 3.43/1.23 % (16822)Success in time 0.843 s
% 3.43/1.23 % Vampire---4.8 exiting
%------------------------------------------------------------------------------