TSTP Solution File: LCL945_9 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL945_9 : TPTP v8.2.0. Bugfixed v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.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 : Tue May 14 08:52:35 EDT 2024
% Result : Theorem 2.35s 0.70s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 294
% Syntax : Number of formulae : 1023 ( 1 unt; 116 typ; 0 def)
% Number of atoms : 4864 ( 0 equ)
% Maximal formula atoms : 114 ( 5 avg)
% Number of connectives : 5734 (1777 ~;3004 |; 623 &)
% ( 117 <=>; 213 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 221 ( 112 >; 109 *; 0 +; 0 <<)
% Number of predicates : 160 ( 159 usr; 86 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 3 con; 0-3 aty)
% Number of variables : 1751 (1470 !; 281 ?;1360 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$world': $tType ).
tff(func_def_0,type,
'$local_world': '$world' ).
tff(func_def_1,type,
sK27: '$world' > '$world' ).
tff(func_def_2,type,
sK28: ( '$world' * $i ) > '$world' ).
tff(func_def_3,type,
sK29: ( '$world' * $i * $i ) > '$world' ).
tff(func_def_4,type,
sK30: ( '$world' * $i ) > '$world' ).
tff(func_def_5,type,
sK31: '$world' > $i ).
tff(func_def_6,type,
sK32: '$world' > $i ).
tff(func_def_7,type,
sK33: '$world' > $i ).
tff(func_def_8,type,
sK34: '$world' > $i ).
tff(func_def_9,type,
sK35: ( '$world' * $i ) > '$world' ).
tff(func_def_10,type,
sK36: ( $i * '$world' ) > '$world' ).
tff(func_def_11,type,
sK37: ( '$world' * $i ) > '$world' ).
tff(func_def_12,type,
sK38: ( $i * '$world' ) > '$world' ).
tff(func_def_13,type,
sK39: ( '$world' * $i * $i ) > '$world' ).
tff(func_def_14,type,
sK40: ( $i * $i * '$world' ) > '$world' ).
tff(func_def_15,type,
sK41: ( $i * '$world' ) > '$world' ).
tff(func_def_16,type,
sK42: ( '$world' * $i ) > '$world' ).
tff(func_def_17,type,
sK43: ( '$world' * $i ) > '$world' ).
tff(func_def_18,type,
sK44: ( $i * '$world' ) > '$world' ).
tff(func_def_19,type,
sK45: ( $i * '$world' ) > '$world' ).
tff(func_def_20,type,
sK46: ( '$world' * $i ) > '$world' ).
tff(func_def_21,type,
sK47: ( '$world' * $i * $i ) > '$world' ).
tff(func_def_22,type,
sK48: ( '$world' * $i * $i ) > '$world' ).
tff(func_def_23,type,
sK49: '$world' > $i ).
tff(func_def_24,type,
sK50: '$world' > $i ).
tff(func_def_25,type,
sK51: '$world' > $i ).
tff(func_def_26,type,
sK52: '$world' > $i ).
tff(func_def_27,type,
sK53: ( $i * '$world' ) > '$world' ).
tff(func_def_28,type,
sK54: ( '$world' * $i ) > '$world' ).
tff(func_def_29,type,
sK55: ( $i * '$world' ) > '$world' ).
tff(func_def_30,type,
sK56: ( '$world' * $i ) > '$world' ).
tff(func_def_31,type,
sK57: ( $i * '$world' ) > '$world' ).
tff(func_def_32,type,
sK58: ( '$world' * $i ) > '$world' ).
tff(func_def_33,type,
sK59: ( $i * '$world' ) > '$world' ).
tff(func_def_34,type,
sK60: ( '$world' * $i * $i ) > '$world' ).
tff(func_def_35,type,
sK61: ( '$world' * $i ) > '$world' ).
tff(func_def_36,type,
sK62: ( $i * '$world' ) > '$world' ).
tff(func_def_37,type,
sK63: ( $i * '$world' ) > '$world' ).
tff(func_def_38,type,
sK64: '$world' ).
tff(func_def_39,type,
sK65: '$world' ).
tff(func_def_40,type,
sK66: '$world' > '$world' ).
tff(pred_def_1,type,
'$accessible_world': ( '$world' * '$world' ) > $o ).
tff(pred_def_2,type,
chevy: ( '$world' * $i ) > $o ).
tff(pred_def_3,type,
dirty: ( '$world' * $i ) > $o ).
tff(pred_def_4,type,
barrel: ( '$world' * $i * $i ) > $o ).
tff(pred_def_5,type,
hollywood: ( '$world' * $i ) > $o ).
tff(pred_def_6,type,
city: ( '$world' * $i ) > $o ).
tff(pred_def_7,type,
in: ( '$world' * $i * $i ) > $o ).
tff(pred_def_8,type,
old: ( '$world' * $i ) > $o ).
tff(pred_def_9,type,
down: ( '$world' * $i * $i ) > $o ).
tff(pred_def_10,type,
way: ( '$world' * $i ) > $o ).
tff(pred_def_11,type,
white: ( '$world' * $i ) > $o ).
tff(pred_def_12,type,
car: ( '$world' * $i ) > $o ).
tff(pred_def_13,type,
street: ( '$world' * $i ) > $o ).
tff(pred_def_14,type,
event: ( '$world' * $i ) > $o ).
tff(pred_def_15,type,
lonely: ( '$world' * $i ) > $o ).
tff(pred_def_16,type,
sP0: ( $i * '$world' ) > $o ).
tff(pred_def_17,type,
sP1: ( $i * '$world' ) > $o ).
tff(pred_def_18,type,
sP2: ( '$world' * $i ) > $o ).
tff(pred_def_19,type,
sP3: ( '$world' * $i * $i ) > $o ).
tff(pred_def_20,type,
sP4: ( $i * '$world' ) > $o ).
tff(pred_def_21,type,
sP5: ( '$world' * $i ) > $o ).
tff(pred_def_22,type,
sP6: ( $i * '$world' ) > $o ).
tff(pred_def_23,type,
sP7: ( '$world' * $i ) > $o ).
tff(pred_def_24,type,
sP8: ( $i * '$world' ) > $o ).
tff(pred_def_25,type,
sP9: ( '$world' * $i ) > $o ).
tff(pred_def_26,type,
sP10: ( $i * '$world' ) > $o ).
tff(pred_def_27,type,
sP11: '$world' > $o ).
tff(pred_def_28,type,
sP12: '$world' > $o ).
tff(pred_def_29,type,
sP13: ( $i * '$world' ) > $o ).
tff(pred_def_30,type,
sP14: ( $i * '$world' ) > $o ).
tff(pred_def_31,type,
sP15: ( '$world' * $i ) > $o ).
tff(pred_def_32,type,
sP16: ( '$world' * $i ) > $o ).
tff(pred_def_33,type,
sP17: ( $i * '$world' ) > $o ).
tff(pred_def_34,type,
sP18: ( $i * $i * '$world' ) > $o ).
tff(pred_def_35,type,
sP19: ( '$world' * $i * $i ) > $o ).
tff(pred_def_36,type,
sP20: ( $i * '$world' ) > $o ).
tff(pred_def_37,type,
sP21: ( '$world' * $i ) > $o ).
tff(pred_def_38,type,
sP22: ( $i * '$world' ) > $o ).
tff(pred_def_39,type,
sP23: ( '$world' * $i ) > $o ).
tff(pred_def_40,type,
sP24: '$world' > $o ).
tff(pred_def_41,type,
sP25: '$world' > $o ).
tff(pred_def_42,type,
sP26: '$world' > $o ).
tff(pred_def_43,type,
sP67: ( '$world' * $i ) > $o ).
tff(pred_def_44,type,
sP68: ( '$world' * $i ) > $o ).
tff(pred_def_45,type,
sP69: ( '$world' * $i ) > $o ).
tff(pred_def_46,type,
sP70: ( '$world' * $i ) > $o ).
tff(pred_def_47,type,
sP71: ( '$world' * $i ) > $o ).
tff(pred_def_48,type,
sP72: ( '$world' * $i ) > $o ).
tff(pred_def_49,type,
sP73: ( '$world' * $i ) > $o ).
tff(pred_def_50,type,
sP74: ( '$world' * $i ) > $o ).
tff(pred_def_51,type,
sP75: ( '$world' * $i ) > $o ).
tff(pred_def_52,type,
sP76: ( '$world' * $i ) > $o ).
tff(pred_def_53,type,
sP77: ( '$world' * $i ) > $o ).
tff(pred_def_54,type,
sP78: ( '$world' * $i ) > $o ).
tff(pred_def_55,type,
sP79: ( '$world' * $i ) > $o ).
tff(pred_def_56,type,
sP80: ( '$world' * $i ) > $o ).
tff(pred_def_57,type,
sP81: ( '$world' * $i ) > $o ).
tff(pred_def_58,type,
sP82: ( '$world' * $i ) > $o ).
tff(pred_def_59,type,
sP83: ( '$world' * $i ) > $o ).
tff(pred_def_60,type,
sP84: ( '$world' * $i ) > $o ).
tff(pred_def_61,type,
sP85: ( '$world' * $i ) > $o ).
tff(pred_def_62,type,
sP86: ( '$world' * $i ) > $o ).
tff(pred_def_63,type,
sP87: ( '$world' * $i ) > $o ).
tff(pred_def_64,type,
sP88: ( '$world' * $i ) > $o ).
tff(pred_def_65,type,
sP89: ( '$world' * $i ) > $o ).
tff(pred_def_66,type,
sP90: ( '$world' * $i ) > $o ).
tff(pred_def_67,type,
sP91: ( '$world' * $i ) > $o ).
tff(pred_def_68,type,
sP92: ( '$world' * $i ) > $o ).
tff(pred_def_69,type,
sP93: ( '$world' * $i ) > $o ).
tff(pred_def_70,type,
sP94: ( '$world' * $i ) > $o ).
tff(pred_def_71,type,
sP95: ( '$world' * $i ) > $o ).
tff(pred_def_72,type,
sP96: ( '$world' * $i ) > $o ).
tff(pred_def_73,type,
sP97: ( '$world' * $i ) > $o ).
tff(pred_def_74,type,
sP98: ( '$world' * $i ) > $o ).
tff(f1541,plain,
$false,
inference(avatar_sat_refutation,[],[f324,f329,f435,f439,f836,f840,f844,f848,f850,f861,f865,f877,f881,f887,f890,f897,f903,f906,f909,f910,f913,f931,f944,f953,f957,f980,f982,f984,f986,f992,f994,f1005,f1010,f1014,f1022,f1031,f1036,f1052,f1058,f1066,f1068,f1071,f1075,f1077,f1095,f1100,f1105,f1110,f1134,f1138,f1142,f1146,f1148,f1150,f1175,f1180,f1185,f1200,f1204,f1208,f1212,f1215,f1217,f1220,f1225,f1262,f1274,f1291,f1296,f1331,f1353,f1381,f1395,f1399,f1411,f1420,f1423,f1426,f1431,f1438,f1443,f1453,f1460,f1464,f1471,f1477,f1482,f1489,f1490,f1492,f1497,f1499,f1505,f1529,f1533,f1536,f1540]) ).
tff(f1540,plain,
( ~ spl99_4
| ~ spl99_28
| ~ spl99_79 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
tff(f1539,plain,
( $false
| ~ spl99_4
| ~ spl99_28
| ~ spl99_79 ),
inference(subsumption_resolution,[],[f1538,f1166]) ).
tff(f1166,plain,
( sP15(sK65,sK34(sK65))
| ~ spl99_79 ),
inference(avatar_component_clause,[],[f1164]) ).
tff(f1164,plain,
( spl99_79
<=> sP15(sK65,sK34(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_79])]) ).
tff(f1538,plain,
( ~ sP15(sK65,sK34(sK65))
| ~ spl99_4
| ~ spl99_28 ),
inference(resolution,[],[f624,f517]) ).
tff(f517,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK43(X0,sK34(sK65)))
| ~ sP15(X0,sK34(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f502,f193]) ).
tff(f193,plain,
! [X0: '$world',X1: $i] :
( ~ car(sK43(X0,X1),X1)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK43(X0,X1))
& ~ car(sK43(X0,X1),X1) )
| ~ sP15(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f81,f82]) ).
tff(f82,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ car(X2,X1) )
=> ( '$accessible_world'(X0,sK43(X0,X1))
& ~ car(sK43(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f81,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ car(X2,X1) )
| ~ sP15(X0,X1) ),
inference(rectify,[],[f80]) ).
tff(f80,plain,
! [X38: '$world',X58] :
( ? [X74: '$world'] :
( '$accessible_world'(X38,X74)
& ~ car(X74,X58) )
| ~ sP15(X38,X58) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X38: '$world',X58] :
( ? [X74: '$world'] :
( '$accessible_world'(X38,X74)
& ~ car(X74,X58) )
| ~ sP15(X38,X58) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
tff(f502,plain,
( ! [X1: '$world'] :
( car(X1,sK34(sK65))
| ~ '$accessible_world'(sK65,X1) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f164]) ).
tff(f164,plain,
! [X0: '$world',X17: '$world'] :
( ~ sP24(X0)
| car(X17,sK34(X0))
| ~ '$accessible_world'(X0,X17) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: '$world'] :
( ( ! [X5: '$world'] :
( chevy(X5,sK34(X0))
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X0,X6)
| barrel(X6,sK32(X0),sK34(X0)) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| dirty(X7,sK34(X0)) )
& ! [X8: '$world'] :
( city(X8,sK31(X0))
| ~ '$accessible_world'(X0,X8) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| white(X9,sK34(X0)) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X0,X10)
| old(X10,sK34(X0)) )
& ! [X11: '$world'] :
( way(X11,sK33(X0))
| ~ '$accessible_world'(X0,X11) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,sK31(X0)) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| lonely(X13,sK33(X0)) )
& ! [X14: '$world'] :
( in(X14,sK32(X0),sK31(X0))
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( ~ '$accessible_world'(X0,X15)
| event(X15,sK32(X0)) )
& ! [X16: '$world'] :
( down(X16,sK32(X0),sK33(X0))
| ~ '$accessible_world'(X0,X16) )
& ! [X17: '$world'] :
( car(X17,sK34(X0))
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( street(X18,sK33(X0))
| ~ '$accessible_world'(X0,X18) ) )
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34])],[f45,f46]) ).
tff(f46,plain,
! [X0: '$world'] :
( ? [X1,X2,X3,X4] :
( ! [X5: '$world'] :
( chevy(X5,X4)
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X0,X6)
| barrel(X6,X2,X4) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| dirty(X7,X4) )
& ! [X8: '$world'] :
( city(X8,X1)
| ~ '$accessible_world'(X0,X8) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| white(X9,X4) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X0,X10)
| old(X10,X4) )
& ! [X11: '$world'] :
( way(X11,X3)
| ~ '$accessible_world'(X0,X11) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,X1) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| lonely(X13,X3) )
& ! [X14: '$world'] :
( in(X14,X2,X1)
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( ~ '$accessible_world'(X0,X15)
| event(X15,X2) )
& ! [X16: '$world'] :
( down(X16,X2,X3)
| ~ '$accessible_world'(X0,X16) )
& ! [X17: '$world'] :
( car(X17,X4)
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( street(X18,X3)
| ~ '$accessible_world'(X0,X18) ) )
=> ( ! [X5: '$world'] :
( chevy(X5,sK34(X0))
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X0,X6)
| barrel(X6,sK32(X0),sK34(X0)) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| dirty(X7,sK34(X0)) )
& ! [X8: '$world'] :
( city(X8,sK31(X0))
| ~ '$accessible_world'(X0,X8) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| white(X9,sK34(X0)) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X0,X10)
| old(X10,sK34(X0)) )
& ! [X11: '$world'] :
( way(X11,sK33(X0))
| ~ '$accessible_world'(X0,X11) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,sK31(X0)) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| lonely(X13,sK33(X0)) )
& ! [X14: '$world'] :
( in(X14,sK32(X0),sK31(X0))
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( ~ '$accessible_world'(X0,X15)
| event(X15,sK32(X0)) )
& ! [X16: '$world'] :
( down(X16,sK32(X0),sK33(X0))
| ~ '$accessible_world'(X0,X16) )
& ! [X17: '$world'] :
( car(X17,sK34(X0))
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( street(X18,sK33(X0))
| ~ '$accessible_world'(X0,X18) ) ) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
! [X0: '$world'] :
( ? [X1,X2,X3,X4] :
( ! [X5: '$world'] :
( chevy(X5,X4)
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X0,X6)
| barrel(X6,X2,X4) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| dirty(X7,X4) )
& ! [X8: '$world'] :
( city(X8,X1)
| ~ '$accessible_world'(X0,X8) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| white(X9,X4) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X0,X10)
| old(X10,X4) )
& ! [X11: '$world'] :
( way(X11,X3)
| ~ '$accessible_world'(X0,X11) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,X1) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| lonely(X13,X3) )
& ! [X14: '$world'] :
( in(X14,X2,X1)
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( ~ '$accessible_world'(X0,X15)
| event(X15,X2) )
& ! [X16: '$world'] :
( down(X16,X2,X3)
| ~ '$accessible_world'(X0,X16) )
& ! [X17: '$world'] :
( car(X17,X4)
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( street(X18,X3)
| ~ '$accessible_world'(X0,X18) ) )
| ~ sP24(X0) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X38: '$world'] :
( ? [X41,X39,X42,X40] :
( ! [X54: '$world'] :
( chevy(X54,X40)
| ~ '$accessible_world'(X38,X54) )
& ! [X45: '$world'] :
( ~ '$accessible_world'(X38,X45)
| barrel(X45,X39,X40) )
& ! [X56: '$world'] :
( ~ '$accessible_world'(X38,X56)
| dirty(X56,X40) )
& ! [X44: '$world'] :
( city(X44,X41)
| ~ '$accessible_world'(X38,X44) )
& ! [X53: '$world'] :
( ~ '$accessible_world'(X38,X53)
| white(X53,X40) )
& ! [X49: '$world'] :
( ~ '$accessible_world'(X38,X49)
| old(X49,X40) )
& ! [X48: '$world'] :
( way(X48,X42)
| ~ '$accessible_world'(X38,X48) )
& ! [X51: '$world'] :
( ~ '$accessible_world'(X38,X51)
| hollywood(X51,X41) )
& ! [X55: '$world'] :
( ~ '$accessible_world'(X38,X55)
| lonely(X55,X42) )
& ! [X47: '$world'] :
( in(X47,X39,X41)
| ~ '$accessible_world'(X38,X47) )
& ! [X43: '$world'] :
( ~ '$accessible_world'(X38,X43)
| event(X43,X39) )
& ! [X52: '$world'] :
( down(X52,X39,X42)
| ~ '$accessible_world'(X38,X52) )
& ! [X46: '$world'] :
( car(X46,X40)
| ~ '$accessible_world'(X38,X46) )
& ! [X50: '$world'] :
( street(X50,X42)
| ~ '$accessible_world'(X38,X50) ) )
| ~ sP24(X38) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X38: '$world'] :
( ? [X41,X39,X42,X40] :
( ! [X54: '$world'] :
( chevy(X54,X40)
| ~ '$accessible_world'(X38,X54) )
& ! [X45: '$world'] :
( ~ '$accessible_world'(X38,X45)
| barrel(X45,X39,X40) )
& ! [X56: '$world'] :
( ~ '$accessible_world'(X38,X56)
| dirty(X56,X40) )
& ! [X44: '$world'] :
( city(X44,X41)
| ~ '$accessible_world'(X38,X44) )
& ! [X53: '$world'] :
( ~ '$accessible_world'(X38,X53)
| white(X53,X40) )
& ! [X49: '$world'] :
( ~ '$accessible_world'(X38,X49)
| old(X49,X40) )
& ! [X48: '$world'] :
( way(X48,X42)
| ~ '$accessible_world'(X38,X48) )
& ! [X51: '$world'] :
( ~ '$accessible_world'(X38,X51)
| hollywood(X51,X41) )
& ! [X55: '$world'] :
( ~ '$accessible_world'(X38,X55)
| lonely(X55,X42) )
& ! [X47: '$world'] :
( in(X47,X39,X41)
| ~ '$accessible_world'(X38,X47) )
& ! [X43: '$world'] :
( ~ '$accessible_world'(X38,X43)
| event(X43,X39) )
& ! [X52: '$world'] :
( down(X52,X39,X42)
| ~ '$accessible_world'(X38,X52) )
& ! [X46: '$world'] :
( car(X46,X40)
| ~ '$accessible_world'(X38,X46) )
& ! [X50: '$world'] :
( street(X50,X42)
| ~ '$accessible_world'(X38,X50) ) )
| ~ sP24(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
tff(f328,plain,
( sP24(sK65)
| ~ spl99_4 ),
inference(avatar_component_clause,[],[f326]) ).
tff(f326,plain,
( spl99_4
<=> sP24(sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_4])]) ).
tff(f624,plain,
( '$accessible_world'(sK65,sK43(sK65,sK34(sK65)))
| ~ spl99_28 ),
inference(avatar_component_clause,[],[f622]) ).
tff(f622,plain,
( spl99_28
<=> '$accessible_world'(sK65,sK43(sK65,sK34(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_28])]) ).
tff(f1536,plain,
( spl99_28
| ~ spl99_79 ),
inference(avatar_split_clause,[],[f1535,f1164,f622]) ).
tff(f1535,plain,
( '$accessible_world'(sK65,sK43(sK65,sK34(sK65)))
| ~ spl99_79 ),
inference(resolution,[],[f1166,f194]) ).
tff(f194,plain,
! [X0: '$world',X1: $i] :
( ~ sP15(X0,X1)
| '$accessible_world'(X0,sK43(X0,X1)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f1533,plain,
( spl99_17
| ~ spl99_4
| spl99_19
| spl99_71
| spl99_73
| ~ spl99_105 ),
inference(avatar_split_clause,[],[f1532,f1417,f1131,f1124,f587,f326,f579]) ).
tff(f579,plain,
( spl99_17
<=> sP75(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_17])]) ).
tff(f587,plain,
( spl99_19
<=> '$accessible_world'(sK65,sK30(sK65,sK33(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_19])]) ).
tff(f1124,plain,
( spl99_71
<=> sP22(sK33(sK65),sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_71])]) ).
tff(f1131,plain,
( spl99_73
<=> sP16(sK65,sK33(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_73])]) ).
tff(f1417,plain,
( spl99_105
<=> '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_105])]) ).
tff(f1532,plain,
( sP75(sK65,sK32(sK65))
| ~ spl99_4
| spl99_19
| spl99_71
| spl99_73
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1531,f1132]) ).
tff(f1132,plain,
( ~ sP16(sK65,sK33(sK65))
| spl99_73 ),
inference(avatar_component_clause,[],[f1131]) ).
tff(f1531,plain,
( sP75(sK65,sK32(sK65))
| sP16(sK65,sK33(sK65))
| ~ spl99_4
| spl99_19
| spl99_71
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1530,f1125]) ).
tff(f1125,plain,
( ~ sP22(sK33(sK65),sK65)
| spl99_71 ),
inference(avatar_component_clause,[],[f1124]) ).
tff(f1530,plain,
( sP75(sK65,sK32(sK65))
| sP22(sK33(sK65),sK65)
| sP16(sK65,sK33(sK65))
| ~ spl99_4
| spl99_19
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1519,f588]) ).
tff(f588,plain,
( ~ '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| spl99_19 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f1519,plain,
( '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| sP75(sK65,sK32(sK65))
| sP16(sK65,sK33(sK65))
| sP22(sK33(sK65),sK65)
| ~ spl99_4
| ~ spl99_105 ),
inference(resolution,[],[f1418,f550]) ).
tff(f550,plain,
( ! [X4: '$world'] :
( ~ '$accessible_world'(sK65,sK29(X4,sK33(sK65),sK32(sK65)))
| sP75(X4,sK32(sK65))
| sP22(sK33(sK65),X4)
| sP16(X4,sK33(sK65))
| '$accessible_world'(X4,sK30(X4,sK33(sK65))) )
| ~ spl99_4 ),
inference(resolution,[],[f503,f263]) ).
tff(f263,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( ~ down(sK29(X0,X2,X3),X3,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| sP16(X0,X2)
| sP22(X2,X0)
| sP75(X0,X3) ),
inference(cnf_transformation,[],[f263_D]) ).
tff(f263_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ down(sK29(X0,X2,X3),X3,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| sP16(X0,X2)
| sP22(X2,X0) )
<=> ~ sP75(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP75])]) ).
tff(f503,plain,
( ! [X2: '$world'] :
( down(X2,sK32(sK65),sK33(sK65))
| ~ '$accessible_world'(sK65,X2) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f165]) ).
tff(f165,plain,
! [X0: '$world',X16: '$world'] :
( ~ sP24(X0)
| down(X16,sK32(X0),sK33(X0))
| ~ '$accessible_world'(X0,X16) ),
inference(cnf_transformation,[],[f47]) ).
tff(f1418,plain,
( '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| ~ spl99_105 ),
inference(avatar_component_clause,[],[f1417]) ).
tff(f1529,plain,
( ~ spl99_4
| spl99_19
| spl99_31
| spl99_71
| spl99_73
| ~ spl99_105 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
tff(f1528,plain,
( $false
| ~ spl99_4
| spl99_19
| spl99_31
| spl99_71
| spl99_73
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1527,f637]) ).
tff(f637,plain,
( ~ sP67(sK65,sK32(sK65))
| spl99_31 ),
inference(avatar_component_clause,[],[f636]) ).
tff(f636,plain,
( spl99_31
<=> sP67(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_31])]) ).
tff(f1527,plain,
( sP67(sK65,sK32(sK65))
| ~ spl99_4
| spl99_19
| spl99_71
| spl99_73
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1526,f1125]) ).
tff(f1526,plain,
( sP22(sK33(sK65),sK65)
| sP67(sK65,sK32(sK65))
| ~ spl99_4
| spl99_19
| spl99_73
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1525,f588]) ).
tff(f1525,plain,
( '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| sP22(sK33(sK65),sK65)
| sP67(sK65,sK32(sK65))
| ~ spl99_4
| spl99_73
| ~ spl99_105 ),
inference(subsumption_resolution,[],[f1518,f1132]) ).
tff(f1518,plain,
( sP16(sK65,sK33(sK65))
| sP22(sK33(sK65),sK65)
| '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| sP67(sK65,sK32(sK65))
| ~ spl99_4
| ~ spl99_105 ),
inference(resolution,[],[f1418,f551]) ).
tff(f551,plain,
( ! [X5: '$world'] :
( ~ '$accessible_world'(sK65,sK29(X5,sK33(sK65),sK32(sK65)))
| sP16(X5,sK33(sK65))
| sP67(X5,sK32(sK65))
| '$accessible_world'(X5,sK30(X5,sK33(sK65)))
| sP22(sK33(sK65),X5) )
| ~ spl99_4 ),
inference(resolution,[],[f503,f247]) ).
tff(f247,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( ~ down(sK29(X0,X2,X3),X3,X2)
| sP16(X0,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| sP22(X2,X0)
| sP67(X0,X3) ),
inference(cnf_transformation,[],[f247_D]) ).
tff(f247_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ down(sK29(X0,X2,X3),X3,X2)
| sP16(X0,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| sP22(X2,X0) )
<=> ~ sP67(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP67])]) ).
tff(f1505,plain,
( spl99_94
| spl99_107 ),
inference(avatar_split_clause,[],[f1473,f1457,f1258]) ).
tff(f1258,plain,
( spl99_94
<=> ! [X1] :
( '$accessible_world'(sK65,sK30(sK65,X1))
| sP22(X1,sK65)
| '$accessible_world'(sK65,sK29(sK65,X1,sK32(sK65)))
| sP16(sK65,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_94])]) ).
tff(f1457,plain,
( spl99_107
<=> sP79(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_107])]) ).
tff(f1473,plain,
( ! [X0: $i] :
( '$accessible_world'(sK65,sK30(sK65,X0))
| '$accessible_world'(sK65,sK29(sK65,X0,sK32(sK65)))
| sP16(sK65,X0)
| sP22(X0,sK65) )
| spl99_107 ),
inference(resolution,[],[f1459,f271]) ).
tff(f271,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( sP79(X0,X3)
| sP16(X0,X2)
| sP22(X2,X0)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| '$accessible_world'(X0,sK30(X0,X2)) ),
inference(cnf_transformation,[],[f271_D]) ).
tff(f271_D,plain,
! [X3,X0] :
( ! [X2] :
( sP16(X0,X2)
| sP22(X2,X0)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| '$accessible_world'(X0,sK30(X0,X2)) )
<=> ~ sP79(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP79])]) ).
tff(f1459,plain,
( ~ sP79(sK65,sK32(sK65))
| spl99_107 ),
inference(avatar_component_clause,[],[f1457]) ).
tff(f1499,plain,
( spl99_19
| spl99_73
| spl99_71
| ~ spl99_94
| spl99_105 ),
inference(avatar_split_clause,[],[f1498,f1417,f1258,f1124,f1131,f587]) ).
tff(f1498,plain,
( sP16(sK65,sK33(sK65))
| '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| spl99_71
| ~ spl99_94
| spl99_105 ),
inference(subsumption_resolution,[],[f1483,f1419]) ).
tff(f1419,plain,
( ~ '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| spl99_105 ),
inference(avatar_component_clause,[],[f1417]) ).
tff(f1483,plain,
( '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| sP16(sK65,sK33(sK65))
| '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| spl99_71
| ~ spl99_94 ),
inference(resolution,[],[f1125,f1259]) ).
tff(f1259,plain,
( ! [X1: $i] :
( sP22(X1,sK65)
| '$accessible_world'(sK65,sK30(sK65,X1))
| sP16(sK65,X1)
| '$accessible_world'(sK65,sK29(sK65,X1,sK32(sK65))) )
| ~ spl99_94 ),
inference(avatar_component_clause,[],[f1258]) ).
tff(f1497,plain,
( ~ spl99_73
| ~ spl99_4
| ~ spl99_18 ),
inference(avatar_split_clause,[],[f1494,f583,f326,f1131]) ).
tff(f583,plain,
( spl99_18
<=> '$accessible_world'(sK65,sK42(sK65,sK33(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_18])]) ).
tff(f1494,plain,
( ~ sP16(sK65,sK33(sK65))
| ~ spl99_4
| ~ spl99_18 ),
inference(resolution,[],[f585,f515]) ).
tff(f515,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK42(X0,sK33(sK65)))
| ~ sP16(X0,sK33(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f501,f191]) ).
tff(f191,plain,
! [X0: '$world',X1: $i] :
( ~ street(sK42(X0,X1),X1)
| ~ sP16(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK42(X0,X1))
& ~ street(sK42(X0,X1),X1) )
| ~ sP16(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f77,f78]) ).
tff(f78,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ street(X2,X1) )
=> ( '$accessible_world'(X0,sK42(X0,X1))
& ~ street(sK42(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f77,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ street(X2,X1) )
| ~ sP16(X0,X1) ),
inference(rectify,[],[f76]) ).
tff(f76,plain,
! [X38: '$world',X57] :
( ? [X63: '$world'] :
( '$accessible_world'(X38,X63)
& ~ street(X63,X57) )
| ~ sP16(X38,X57) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X38: '$world',X57] :
( ? [X63: '$world'] :
( '$accessible_world'(X38,X63)
& ~ street(X63,X57) )
| ~ sP16(X38,X57) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
tff(f501,plain,
( ! [X0: '$world'] :
( street(X0,sK33(sK65))
| ~ '$accessible_world'(sK65,X0) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f163]) ).
tff(f163,plain,
! [X0: '$world',X18: '$world'] :
( ~ sP24(X0)
| street(X18,sK33(X0))
| ~ '$accessible_world'(X0,X18) ),
inference(cnf_transformation,[],[f47]) ).
tff(f585,plain,
( '$accessible_world'(sK65,sK42(sK65,sK33(sK65)))
| ~ spl99_18 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f1492,plain,
( ~ spl99_4
| ~ spl99_24
| ~ spl99_77 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
tff(f1491,plain,
( $false
| ~ spl99_4
| ~ spl99_24
| ~ spl99_77 ),
inference(subsumption_resolution,[],[f1287,f1158]) ).
tff(f1158,plain,
( sP23(sK65,sK34(sK65))
| ~ spl99_77 ),
inference(avatar_component_clause,[],[f1156]) ).
tff(f1156,plain,
( spl99_77
<=> sP23(sK65,sK34(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_77])]) ).
tff(f1287,plain,
( ~ sP23(sK65,sK34(sK65))
| ~ spl99_4
| ~ spl99_24 ),
inference(resolution,[],[f608,f532]) ).
tff(f532,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK35(X0,sK34(sK65)))
| ~ sP23(X0,sK34(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f510,f177]) ).
tff(f177,plain,
! [X0: '$world',X1: $i] :
( ~ white(sK35(X0,X1),X1)
| ~ sP23(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK35(X0,X1))
& ~ white(sK35(X0,X1),X1) )
| ~ sP23(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f49,f50]) ).
tff(f50,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ white(X2,X1) )
=> ( '$accessible_world'(X0,sK35(X0,X1))
& ~ white(sK35(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f49,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ white(X2,X1) )
| ~ sP23(X0,X1) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X38: '$world',X58] :
( ? [X72: '$world'] :
( '$accessible_world'(X38,X72)
& ~ white(X72,X58) )
| ~ sP23(X38,X58) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X38: '$world',X58] :
( ? [X72: '$world'] :
( '$accessible_world'(X38,X72)
& ~ white(X72,X58) )
| ~ sP23(X38,X58) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
tff(f510,plain,
( ! [X9: '$world'] :
( white(X9,sK34(sK65))
| ~ '$accessible_world'(sK65,X9) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f172]) ).
tff(f172,plain,
! [X0: '$world',X9: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X9)
| white(X9,sK34(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f608,plain,
( '$accessible_world'(sK65,sK35(sK65,sK34(sK65)))
| ~ spl99_24 ),
inference(avatar_component_clause,[],[f606]) ).
tff(f606,plain,
( spl99_24
<=> '$accessible_world'(sK65,sK35(sK65,sK34(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_24])]) ).
tff(f1490,plain,
( ~ spl99_80
| ~ spl99_4
| ~ spl99_25 ),
inference(avatar_split_clause,[],[f1485,f610,f326,f1168]) ).
tff(f1168,plain,
( spl99_80
<=> sP17(sK34(sK65),sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_80])]) ).
tff(f610,plain,
( spl99_25
<=> '$accessible_world'(sK65,sK41(sK34(sK65),sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_25])]) ).
tff(f1485,plain,
( ~ sP17(sK34(sK65),sK65)
| ~ spl99_4
| ~ spl99_25 ),
inference(resolution,[],[f612,f530]) ).
tff(f530,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK41(sK34(sK65),X0))
| ~ sP17(sK34(sK65),X0) )
| ~ spl99_4 ),
inference(resolution,[],[f509,f190]) ).
tff(f190,plain,
! [X0: $i,X1: '$world'] :
( ~ old(sK41(X0,X1),X0)
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0,X1: '$world'] :
( ( ~ old(sK41(X0,X1),X0)
& '$accessible_world'(X1,sK41(X0,X1)) )
| ~ sP17(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f73,f74]) ).
tff(f74,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ old(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ old(sK41(X0,X1),X0)
& '$accessible_world'(X1,sK41(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f73,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ old(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP17(X0,X1) ),
inference(rectify,[],[f72]) ).
tff(f72,plain,
! [X58,X38: '$world'] :
( ? [X62: '$world'] :
( ~ old(X62,X58)
& '$accessible_world'(X38,X62) )
| ~ sP17(X58,X38) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X58,X38: '$world'] :
( ? [X62: '$world'] :
( ~ old(X62,X58)
& '$accessible_world'(X38,X62) )
| ~ sP17(X58,X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
tff(f509,plain,
( ! [X8: '$world'] :
( old(X8,sK34(sK65))
| ~ '$accessible_world'(sK65,X8) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f171]) ).
tff(f171,plain,
! [X10: '$world',X0: '$world'] :
( ~ sP24(X0)
| old(X10,sK34(X0))
| ~ '$accessible_world'(X0,X10) ),
inference(cnf_transformation,[],[f47]) ).
tff(f612,plain,
( '$accessible_world'(sK65,sK41(sK34(sK65),sK65))
| ~ spl99_25 ),
inference(avatar_component_clause,[],[f610]) ).
tff(f1489,plain,
( spl99_77
| spl99_80
| spl99_79
| spl99_30
| spl99_26
| spl99_81
| spl99_84 ),
inference(avatar_split_clause,[],[f1488,f1187,f1172,f614,f629,f1164,f1168,f1156]) ).
tff(f629,plain,
( spl99_30
<=> '$accessible_world'(sK65,sK28(sK65,sK34(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_30])]) ).
tff(f614,plain,
( spl99_26
<=> sP18(sK34(sK65),sK32(sK65),sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_26])]) ).
tff(f1172,plain,
( spl99_81
<=> sP21(sK65,sK34(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_81])]) ).
tff(f1187,plain,
( spl99_84
<=> sP82(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_84])]) ).
tff(f1488,plain,
( '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| sP15(sK65,sK34(sK65))
| sP17(sK34(sK65),sK65)
| sP23(sK65,sK34(sK65))
| spl99_26
| spl99_81
| spl99_84 ),
inference(subsumption_resolution,[],[f1439,f1188]) ).
tff(f1188,plain,
( ~ sP82(sK65,sK32(sK65))
| spl99_84 ),
inference(avatar_component_clause,[],[f1187]) ).
tff(f1439,plain,
( '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| sP15(sK65,sK34(sK65))
| sP82(sK65,sK32(sK65))
| sP23(sK65,sK34(sK65))
| sP17(sK34(sK65),sK65)
| spl99_26
| spl99_81 ),
inference(subsumption_resolution,[],[f1300,f1173]) ).
tff(f1173,plain,
( ~ sP21(sK65,sK34(sK65))
| spl99_81 ),
inference(avatar_component_clause,[],[f1172]) ).
tff(f1300,plain,
( sP15(sK65,sK34(sK65))
| sP21(sK65,sK34(sK65))
| sP23(sK65,sK34(sK65))
| sP82(sK65,sK32(sK65))
| sP17(sK34(sK65),sK65)
| '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| spl99_26 ),
inference(resolution,[],[f616,f277]) ).
tff(f277,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP18(X1,X3,X0)
| sP82(X0,X3)
| sP21(X0,X1)
| sP23(X0,X1)
| '$accessible_world'(X0,sK28(X0,X1))
| sP15(X0,X1)
| sP17(X1,X0) ),
inference(cnf_transformation,[],[f277_D]) ).
tff(f277_D,plain,
! [X3,X0] :
( ! [X1] :
( sP18(X1,X3,X0)
| sP21(X0,X1)
| sP23(X0,X1)
| '$accessible_world'(X0,sK28(X0,X1))
| sP15(X0,X1)
| sP17(X1,X0) )
<=> ~ sP82(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP82])]) ).
tff(f616,plain,
( ~ sP18(sK34(sK65),sK32(sK65),sK65)
| spl99_26 ),
inference(avatar_component_clause,[],[f614]) ).
tff(f1482,plain,
( ~ spl99_71
| ~ spl99_4
| ~ spl99_20 ),
inference(avatar_split_clause,[],[f1479,f591,f326,f1124]) ).
tff(f591,plain,
( spl99_20
<=> '$accessible_world'(sK65,sK36(sK33(sK65),sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_20])]) ).
tff(f1479,plain,
( ~ sP22(sK33(sK65),sK65)
| ~ spl99_4
| ~ spl99_20 ),
inference(resolution,[],[f593,f521]) ).
tff(f521,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK36(sK33(sK65),X0))
| ~ sP22(sK33(sK65),X0) )
| ~ spl99_4 ),
inference(resolution,[],[f506,f180]) ).
tff(f180,plain,
! [X0: $i,X1: '$world'] :
( ~ lonely(sK36(X0,X1),X0)
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0,X1: '$world'] :
( ( ~ lonely(sK36(X0,X1),X0)
& '$accessible_world'(X1,sK36(X0,X1)) )
| ~ sP22(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f53,f54]) ).
tff(f54,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ lonely(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ lonely(sK36(X0,X1),X0)
& '$accessible_world'(X1,sK36(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f53,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ lonely(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP22(X0,X1) ),
inference(rectify,[],[f52]) ).
tff(f52,plain,
! [X57,X38: '$world'] :
( ? [X61: '$world'] :
( ~ lonely(X61,X57)
& '$accessible_world'(X38,X61) )
| ~ sP22(X57,X38) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X57,X38: '$world'] :
( ? [X61: '$world'] :
( ~ lonely(X61,X57)
& '$accessible_world'(X38,X61) )
| ~ sP22(X57,X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
tff(f506,plain,
( ! [X5: '$world'] :
( lonely(X5,sK33(sK65))
| ~ '$accessible_world'(sK65,X5) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f168]) ).
tff(f168,plain,
! [X0: '$world',X13: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X13)
| lonely(X13,sK33(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f593,plain,
( '$accessible_world'(sK65,sK36(sK33(sK65),sK65))
| ~ spl99_20 ),
inference(avatar_component_clause,[],[f591]) ).
tff(f1477,plain,
( spl99_105
| ~ spl99_72
| spl99_108 ),
inference(avatar_split_clause,[],[f1474,f1468,f1128,f1417]) ).
tff(f1128,plain,
( spl99_72
<=> ! [X3] :
( '$accessible_world'(sK65,sK29(sK65,sK33(sK65),X3))
| sP81(sK65,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_72])]) ).
tff(f1468,plain,
( spl99_108
<=> sP81(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_108])]) ).
tff(f1474,plain,
( '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| ~ spl99_72
| spl99_108 ),
inference(resolution,[],[f1470,f1129]) ).
tff(f1129,plain,
( ! [X3: $i] :
( sP81(sK65,X3)
| '$accessible_world'(sK65,sK29(sK65,sK33(sK65),X3)) )
| ~ spl99_72 ),
inference(avatar_component_clause,[],[f1128]) ).
tff(f1470,plain,
( ~ sP81(sK65,sK32(sK65))
| spl99_108 ),
inference(avatar_component_clause,[],[f1468]) ).
tff(f1471,plain,
( ~ spl99_108
| spl99_100
| ~ spl99_3
| ~ spl99_84
| spl99_91 ),
inference(avatar_split_clause,[],[f1466,f1247,f1187,f321,f1329,f1468]) ).
tff(f1329,plain,
( spl99_100
<=> ! [X0] :
( sP14(X0,sK65)
| sP13(X0,sK65)
| sP19(sK65,X0,sK32(sK65)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_100])]) ).
tff(f321,plain,
( spl99_3
<=> sP25(sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_3])]) ).
tff(f1247,plain,
( spl99_91
<=> sP20(sK32(sK65),sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_91])]) ).
tff(f1466,plain,
( ! [X0: $i] :
( sP13(X0,sK65)
| sP14(X0,sK65)
| sP19(sK65,X0,sK32(sK65))
| ~ sP81(sK65,sK32(sK65)) )
| ~ spl99_3
| ~ spl99_84
| spl99_91 ),
inference(subsumption_resolution,[],[f1465,f1248]) ).
tff(f1248,plain,
( ~ sP20(sK32(sK65),sK65)
| spl99_91 ),
inference(avatar_component_clause,[],[f1247]) ).
tff(f1465,plain,
( ! [X0: $i] :
( ~ sP81(sK65,sK32(sK65))
| sP14(X0,sK65)
| sP20(sK32(sK65),sK65)
| sP19(sK65,X0,sK32(sK65))
| sP13(X0,sK65) )
| ~ spl99_3
| ~ spl99_84 ),
inference(resolution,[],[f1189,f1118]) ).
tff(f1118,plain,
( ! [X14: $i,X15: $i] :
( ~ sP82(sK65,X14)
| sP13(X15,sK65)
| sP14(X15,sK65)
| ~ sP81(sK65,X14)
| sP20(X14,sK65)
| sP19(sK65,X15,X14) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f278]) ).
tff(f278,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| ~ sP82(X0,X3)
| ~ sP81(X0,X3)
| sP14(X4,X0)
| sP13(X4,X0) ),
inference(general_splitting,[],[f276,f277_D]) ).
tff(f276,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP81(X0,X3) ),
inference(general_splitting,[],[f155,f275_D]) ).
tff(f275,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( ~ way(sK30(X0,X2),X2)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| sP16(X0,X2)
| sP22(X2,X0)
| sP81(X0,X3) ),
inference(cnf_transformation,[],[f275_D]) ).
tff(f275_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ way(sK30(X0,X2),X2)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| sP16(X0,X2)
| sP22(X2,X0) )
<=> ~ sP81(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP81])]) ).
tff(f155,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| '$accessible_world'(X0,sK29(X0,X2,X3))
| ~ way(sK30(X0,X2),X2)
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: '$world'] :
( ! [X1,X2,X3,X4] :
( ( ~ dirty(sK28(X0,X1),X1)
& '$accessible_world'(X0,sK28(X0,X1)) )
| ( ~ down(sK29(X0,X2,X3),X3,X2)
& '$accessible_world'(X0,sK29(X0,X2,X3)) )
| ( '$accessible_world'(X0,sK30(X0,X2))
& ~ way(sK30(X0,X2),X2) )
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0) )
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30])],[f39,f42,f41,f40]) ).
tff(f40,plain,
! [X0: '$world',X1] :
( ? [X5: '$world'] :
( ~ dirty(X5,X1)
& '$accessible_world'(X0,X5) )
=> ( ~ dirty(sK28(X0,X1),X1)
& '$accessible_world'(X0,sK28(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
! [X0: '$world',X2,X3] :
( ? [X6: '$world'] :
( ~ down(X6,X3,X2)
& '$accessible_world'(X0,X6) )
=> ( ~ down(sK29(X0,X2,X3),X3,X2)
& '$accessible_world'(X0,sK29(X0,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
tff(f42,plain,
! [X0: '$world',X2] :
( ? [X7: '$world'] :
( '$accessible_world'(X0,X7)
& ~ way(X7,X2) )
=> ( '$accessible_world'(X0,sK30(X0,X2))
& ~ way(sK30(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
tff(f39,plain,
! [X0: '$world'] :
( ! [X1,X2,X3,X4] :
( ? [X5: '$world'] :
( ~ dirty(X5,X1)
& '$accessible_world'(X0,X5) )
| ? [X6: '$world'] :
( ~ down(X6,X3,X2)
& '$accessible_world'(X0,X6) )
| ? [X7: '$world'] :
( '$accessible_world'(X0,X7)
& ~ way(X7,X2) )
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0) )
| ~ sP25(X0) ),
inference(rectify,[],[f38]) ).
tff(f38,plain,
! [X38: '$world'] :
( ! [X58,X57,X59,X60] :
( ? [X65: '$world'] :
( ~ dirty(X65,X58)
& '$accessible_world'(X38,X65) )
| ? [X69: '$world'] :
( ~ down(X69,X59,X57)
& '$accessible_world'(X38,X69) )
| ? [X68: '$world'] :
( '$accessible_world'(X38,X68)
& ~ way(X68,X57) )
| sP23(X38,X58)
| sP22(X57,X38)
| sP21(X38,X58)
| sP20(X59,X38)
| sP19(X38,X60,X59)
| sP18(X58,X59,X38)
| sP17(X58,X38)
| sP16(X38,X57)
| sP15(X38,X58)
| sP14(X60,X38)
| sP13(X60,X38) )
| ~ sP25(X38) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X38: '$world'] :
( ! [X58,X57,X59,X60] :
( ? [X65: '$world'] :
( ~ dirty(X65,X58)
& '$accessible_world'(X38,X65) )
| ? [X69: '$world'] :
( ~ down(X69,X59,X57)
& '$accessible_world'(X38,X69) )
| ? [X68: '$world'] :
( '$accessible_world'(X38,X68)
& ~ way(X68,X57) )
| sP23(X38,X58)
| sP22(X57,X38)
| sP21(X38,X58)
| sP20(X59,X38)
| sP19(X38,X60,X59)
| sP18(X58,X59,X38)
| sP17(X58,X38)
| sP16(X38,X57)
| sP15(X38,X58)
| sP14(X60,X38)
| sP13(X60,X38) )
| ~ sP25(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
tff(f323,plain,
( sP25(sK65)
| ~ spl99_3 ),
inference(avatar_component_clause,[],[f321]) ).
tff(f1189,plain,
( sP82(sK65,sK32(sK65))
| ~ spl99_84 ),
inference(avatar_component_clause,[],[f1187]) ).
tff(f1464,plain,
( ~ spl99_17
| spl99_100
| ~ spl99_3
| ~ spl99_83
| spl99_91 ),
inference(avatar_split_clause,[],[f1463,f1247,f1182,f321,f1329,f579]) ).
tff(f1182,plain,
( spl99_83
<=> sP76(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_83])]) ).
tff(f1463,plain,
( ! [X0: $i] :
( sP14(X0,sK65)
| sP13(X0,sK65)
| ~ sP75(sK65,sK32(sK65))
| sP19(sK65,X0,sK32(sK65)) )
| ~ spl99_3
| ~ spl99_83
| spl99_91 ),
inference(subsumption_resolution,[],[f1462,f1248]) ).
tff(f1462,plain,
( ! [X0: $i] :
( sP14(X0,sK65)
| sP20(sK32(sK65),sK65)
| sP13(X0,sK65)
| ~ sP75(sK65,sK32(sK65))
| sP19(sK65,X0,sK32(sK65)) )
| ~ spl99_3
| ~ spl99_83 ),
inference(resolution,[],[f1184,f1115]) ).
tff(f1115,plain,
( ! [X8: $i,X9: $i] :
( ~ sP76(sK65,X8)
| sP13(X9,sK65)
| sP20(X8,sK65)
| sP14(X9,sK65)
| sP19(sK65,X9,X8)
| ~ sP75(sK65,X8) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f266]) ).
tff(f266,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| ~ sP75(X0,X3)
| sP13(X4,X0)
| ~ sP76(X0,X3)
| sP19(X0,X4,X3)
| sP14(X4,X0)
| sP20(X3,X0) ),
inference(general_splitting,[],[f264,f265_D]) ).
tff(f265,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP18(X1,X3,X0)
| sP15(X0,X1)
| sP21(X0,X1)
| sP76(X0,X3)
| sP17(X1,X0)
| '$accessible_world'(X0,sK28(X0,X1))
| sP23(X0,X1) ),
inference(cnf_transformation,[],[f265_D]) ).
tff(f265_D,plain,
! [X3,X0] :
( ! [X1] :
( sP18(X1,X3,X0)
| sP15(X0,X1)
| sP21(X0,X1)
| sP17(X1,X0)
| '$accessible_world'(X0,sK28(X0,X1))
| sP23(X0,X1) )
<=> ~ sP76(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP76])]) ).
tff(f264,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP75(X0,X3) ),
inference(general_splitting,[],[f158,f263_D]) ).
tff(f158,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| ~ down(sK29(X0,X2,X3),X3,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1184,plain,
( sP76(sK65,sK32(sK65))
| ~ spl99_83 ),
inference(avatar_component_clause,[],[f1182]) ).
tff(f1460,plain,
( ~ spl99_107
| spl99_100
| ~ spl99_3
| ~ spl99_82
| spl99_91 ),
inference(avatar_split_clause,[],[f1455,f1247,f1177,f321,f1329,f1457]) ).
tff(f1177,plain,
( spl99_82
<=> sP80(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_82])]) ).
tff(f1455,plain,
( ! [X0: $i] :
( sP13(X0,sK65)
| sP14(X0,sK65)
| ~ sP79(sK65,sK32(sK65))
| sP19(sK65,X0,sK32(sK65)) )
| ~ spl99_3
| ~ spl99_82
| spl99_91 ),
inference(subsumption_resolution,[],[f1454,f1248]) ).
tff(f1454,plain,
( ! [X0: $i] :
( ~ sP79(sK65,sK32(sK65))
| sP14(X0,sK65)
| sP20(sK32(sK65),sK65)
| sP13(X0,sK65)
| sP19(sK65,X0,sK32(sK65)) )
| ~ spl99_3
| ~ spl99_82 ),
inference(resolution,[],[f1179,f1117]) ).
tff(f1117,plain,
( ! [X12: $i,X13: $i] :
( ~ sP80(sK65,X12)
| sP19(sK65,X13,X12)
| sP20(X12,sK65)
| sP14(X13,sK65)
| ~ sP79(sK65,X12)
| sP13(X13,sK65) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f274]) ).
tff(f274,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| ~ sP79(X0,X3)
| ~ sP80(X0,X3)
| sP20(X3,X0)
| sP13(X4,X0)
| sP14(X4,X0)
| sP19(X0,X4,X3) ),
inference(general_splitting,[],[f272,f273_D]) ).
tff(f273,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP18(X1,X3,X0)
| sP15(X0,X1)
| sP23(X0,X1)
| '$accessible_world'(X0,sK28(X0,X1))
| sP17(X1,X0)
| sP21(X0,X1)
| sP80(X0,X3) ),
inference(cnf_transformation,[],[f273_D]) ).
tff(f273_D,plain,
! [X3,X0] :
( ! [X1] :
( sP18(X1,X3,X0)
| sP15(X0,X1)
| sP23(X0,X1)
| '$accessible_world'(X0,sK28(X0,X1))
| sP17(X1,X0)
| sP21(X0,X1) )
<=> ~ sP80(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP80])]) ).
tff(f272,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP79(X0,X3) ),
inference(general_splitting,[],[f156,f271_D]) ).
tff(f156,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| '$accessible_world'(X0,sK29(X0,X2,X3))
| '$accessible_world'(X0,sK30(X0,X2))
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1179,plain,
( sP80(sK65,sK32(sK65))
| ~ spl99_82 ),
inference(avatar_component_clause,[],[f1177]) ).
tff(f1453,plain,
( ~ spl99_104
| spl99_100
| ~ spl99_3
| ~ spl99_78
| spl99_91 ),
inference(avatar_split_clause,[],[f1452,f1247,f1160,f321,f1329,f1413]) ).
tff(f1413,plain,
( spl99_104
<=> sP77(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_104])]) ).
tff(f1160,plain,
( spl99_78
<=> sP78(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_78])]) ).
tff(f1452,plain,
( ! [X0: $i] :
( sP14(X0,sK65)
| ~ sP77(sK65,sK32(sK65))
| sP19(sK65,X0,sK32(sK65))
| sP13(X0,sK65) )
| ~ spl99_3
| ~ spl99_78
| spl99_91 ),
inference(subsumption_resolution,[],[f1451,f1248]) ).
tff(f1451,plain,
( ! [X0: $i] :
( sP19(sK65,X0,sK32(sK65))
| sP13(X0,sK65)
| ~ sP77(sK65,sK32(sK65))
| sP20(sK32(sK65),sK65)
| sP14(X0,sK65) )
| ~ spl99_3
| ~ spl99_78 ),
inference(resolution,[],[f1162,f1116]) ).
tff(f1116,plain,
( ! [X10: $i,X11: $i] :
( ~ sP78(sK65,X10)
| sP20(X10,sK65)
| sP19(sK65,X11,X10)
| ~ sP77(sK65,X10)
| sP14(X11,sK65)
| sP13(X11,sK65) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f270]) ).
tff(f270,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| ~ sP78(X0,X3)
| ~ sP77(X0,X3)
| sP13(X4,X0)
| sP19(X0,X4,X3)
| sP14(X4,X0)
| sP20(X3,X0) ),
inference(general_splitting,[],[f268,f269_D]) ).
tff(f269,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP18(X1,X3,X0)
| '$accessible_world'(X0,sK28(X0,X1))
| sP15(X0,X1)
| sP17(X1,X0)
| sP78(X0,X3)
| sP23(X0,X1)
| sP21(X0,X1) ),
inference(cnf_transformation,[],[f269_D]) ).
tff(f269_D,plain,
! [X3,X0] :
( ! [X1] :
( sP18(X1,X3,X0)
| '$accessible_world'(X0,sK28(X0,X1))
| sP15(X0,X1)
| sP17(X1,X0)
| sP23(X0,X1)
| sP21(X0,X1) )
<=> ~ sP78(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP78])]) ).
tff(f268,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP77(X0,X3) ),
inference(general_splitting,[],[f157,f267_D]) ).
tff(f267,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( ~ way(sK30(X0,X2),X2)
| sP16(X0,X2)
| sP77(X0,X3)
| ~ down(sK29(X0,X2,X3),X3,X2)
| sP22(X2,X0) ),
inference(cnf_transformation,[],[f267_D]) ).
tff(f267_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ way(sK30(X0,X2),X2)
| sP16(X0,X2)
| ~ down(sK29(X0,X2,X3),X3,X2)
| sP22(X2,X0) )
<=> ~ sP77(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP77])]) ).
tff(f157,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK28(X0,X1))
| ~ down(sK29(X0,X2,X3),X3,X2)
| ~ way(sK30(X0,X2),X2)
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1162,plain,
( sP78(sK65,sK32(sK65))
| ~ spl99_78 ),
inference(avatar_component_clause,[],[f1160]) ).
tff(f1443,plain,
( spl99_91
| ~ spl99_102
| spl99_100
| ~ spl99_3
| spl99_26
| ~ spl99_87 ),
inference(avatar_split_clause,[],[f1359,f1206,f614,f321,f1329,f1362,f1247]) ).
tff(f1362,plain,
( spl99_102
<=> sP73(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_102])]) ).
tff(f1206,plain,
( spl99_87
<=> ! [X3] :
( sP18(sK34(sK65),X3,sK65)
| sP74(sK65,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_87])]) ).
tff(f1359,plain,
( ! [X0: $i] :
( sP13(X0,sK65)
| ~ sP73(sK65,sK32(sK65))
| sP20(sK32(sK65),sK65)
| sP19(sK65,X0,sK32(sK65))
| sP14(X0,sK65) )
| ~ spl99_3
| spl99_26
| ~ spl99_87 ),
inference(resolution,[],[f1357,f1114]) ).
tff(f1114,plain,
( ! [X6: $i,X7: $i] :
( ~ sP74(sK65,X6)
| sP13(X7,sK65)
| ~ sP73(sK65,X6)
| sP14(X7,sK65)
| sP20(X6,sK65)
| sP19(sK65,X7,X6) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f262]) ).
tff(f262,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| ~ sP74(X0,X3)
| sP13(X4,X0)
| sP19(X0,X4,X3)
| ~ sP73(X0,X3)
| sP14(X4,X0)
| sP20(X3,X0) ),
inference(general_splitting,[],[f260,f261_D]) ).
tff(f261,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP17(X1,X0)
| sP15(X0,X1)
| sP23(X0,X1)
| sP18(X1,X3,X0)
| sP21(X0,X1)
| sP74(X0,X3) ),
inference(cnf_transformation,[],[f261_D]) ).
tff(f261_D,plain,
! [X3,X0] :
( ! [X1] :
( ~ dirty(sK28(X0,X1),X1)
| sP17(X1,X0)
| sP15(X0,X1)
| sP23(X0,X1)
| sP18(X1,X3,X0)
| sP21(X0,X1) )
<=> ~ sP74(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP74])]) ).
tff(f260,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP73(X0,X3) ),
inference(general_splitting,[],[f159,f259_D]) ).
tff(f259,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( ~ way(sK30(X0,X2),X2)
| sP73(X0,X3)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| sP16(X0,X2)
| sP22(X2,X0) ),
inference(cnf_transformation,[],[f259_D]) ).
tff(f259_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ way(sK30(X0,X2),X2)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| sP16(X0,X2)
| sP22(X2,X0) )
<=> ~ sP73(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP73])]) ).
tff(f159,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| ~ way(sK30(X0,X2),X2)
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1357,plain,
( sP74(sK65,sK32(sK65))
| spl99_26
| ~ spl99_87 ),
inference(resolution,[],[f1207,f616]) ).
tff(f1207,plain,
( ! [X3: $i] :
( sP18(sK34(sK65),X3,sK65)
| sP74(sK65,X3) )
| ~ spl99_87 ),
inference(avatar_component_clause,[],[f1206]) ).
tff(f1438,plain,
( ~ spl99_91
| ~ spl99_4
| ~ spl99_21 ),
inference(avatar_split_clause,[],[f1435,f595,f326,f1247]) ).
tff(f595,plain,
( spl99_21
<=> '$accessible_world'(sK65,sK38(sK32(sK65),sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_21])]) ).
tff(f1435,plain,
( ~ sP20(sK32(sK65),sK65)
| ~ spl99_4
| ~ spl99_21 ),
inference(resolution,[],[f597,f519]) ).
tff(f519,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK38(sK32(sK65),X0))
| ~ sP20(sK32(sK65),X0) )
| ~ spl99_4 ),
inference(resolution,[],[f504,f184]) ).
tff(f184,plain,
! [X0: $i,X1: '$world'] :
( ~ event(sK38(X0,X1),X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0,X1: '$world'] :
( ( ~ event(sK38(X0,X1),X0)
& '$accessible_world'(X1,sK38(X0,X1)) )
| ~ sP20(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f61,f62]) ).
tff(f62,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ event(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ event(sK38(X0,X1),X0)
& '$accessible_world'(X1,sK38(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f61,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ event(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP20(X0,X1) ),
inference(rectify,[],[f60]) ).
tff(f60,plain,
! [X59,X38: '$world'] :
( ? [X71: '$world'] :
( ~ event(X71,X59)
& '$accessible_world'(X38,X71) )
| ~ sP20(X59,X38) ),
inference(nnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X59,X38: '$world'] :
( ? [X71: '$world'] :
( ~ event(X71,X59)
& '$accessible_world'(X38,X71) )
| ~ sP20(X59,X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
tff(f504,plain,
( ! [X3: '$world'] :
( event(X3,sK32(sK65))
| ~ '$accessible_world'(sK65,X3) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f166]) ).
tff(f166,plain,
! [X0: '$world',X15: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X15)
| event(X15,sK32(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f597,plain,
( '$accessible_world'(sK65,sK38(sK32(sK65),sK65))
| ~ spl99_21 ),
inference(avatar_component_clause,[],[f595]) ).
tff(f1431,plain,
( ~ spl99_4
| ~ spl99_32 ),
inference(avatar_contradiction_clause,[],[f1430]) ).
tff(f1430,plain,
( $false
| ~ spl99_4
| ~ spl99_32 ),
inference(subsumption_resolution,[],[f1429,f642]) ).
tff(f642,plain,
( sP19(sK65,sK31(sK65),sK32(sK65))
| ~ spl99_32 ),
inference(avatar_component_clause,[],[f641]) ).
tff(f641,plain,
( spl99_32
<=> sP19(sK65,sK31(sK65),sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_32])]) ).
tff(f1429,plain,
( ~ sP19(sK65,sK31(sK65),sK32(sK65))
| ~ spl99_4
| ~ spl99_32 ),
inference(resolution,[],[f1428,f552]) ).
tff(f552,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK39(X0,sK31(sK65),sK32(sK65)))
| ~ sP19(X0,sK31(sK65),sK32(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f505,f185]) ).
tff(f185,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ in(sK39(X0,X1,X2),X2,X1)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: '$world',X1,X2] :
( ( '$accessible_world'(X0,sK39(X0,X1,X2))
& ~ in(sK39(X0,X1,X2),X2,X1) )
| ~ sP19(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f65,f66]) ).
tff(f66,plain,
! [X0: '$world',X1,X2] :
( ? [X3: '$world'] :
( '$accessible_world'(X0,X3)
& ~ in(X3,X2,X1) )
=> ( '$accessible_world'(X0,sK39(X0,X1,X2))
& ~ in(sK39(X0,X1,X2),X2,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f65,plain,
! [X0: '$world',X1,X2] :
( ? [X3: '$world'] :
( '$accessible_world'(X0,X3)
& ~ in(X3,X2,X1) )
| ~ sP19(X0,X1,X2) ),
inference(rectify,[],[f64]) ).
tff(f64,plain,
! [X38: '$world',X60,X59] :
( ? [X66: '$world'] :
( '$accessible_world'(X38,X66)
& ~ in(X66,X59,X60) )
| ~ sP19(X38,X60,X59) ),
inference(nnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X38: '$world',X60,X59] :
( ? [X66: '$world'] :
( '$accessible_world'(X38,X66)
& ~ in(X66,X59,X60) )
| ~ sP19(X38,X60,X59) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
tff(f505,plain,
( ! [X4: '$world'] :
( in(X4,sK32(sK65),sK31(sK65))
| ~ '$accessible_world'(sK65,X4) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f167]) ).
tff(f167,plain,
! [X0: '$world',X14: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X14)
| in(X14,sK32(X0),sK31(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f1428,plain,
( '$accessible_world'(sK65,sK39(sK65,sK31(sK65),sK32(sK65)))
| ~ spl99_32 ),
inference(resolution,[],[f642,f186]) ).
tff(f186,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ sP19(X0,X1,X2)
| '$accessible_world'(X0,sK39(X0,X1,X2)) ),
inference(cnf_transformation,[],[f67]) ).
tff(f1426,plain,
( ~ spl99_4
| ~ spl99_34
| ~ spl99_90 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
tff(f1425,plain,
( $false
| ~ spl99_4
| ~ spl99_34
| ~ spl99_90 ),
inference(subsumption_resolution,[],[f1424,f1245]) ).
tff(f1245,plain,
( sP13(sK31(sK65),sK65)
| ~ spl99_90 ),
inference(avatar_component_clause,[],[f1243]) ).
tff(f1243,plain,
( spl99_90
<=> sP13(sK31(sK65),sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_90])]) ).
tff(f1424,plain,
( ~ sP13(sK31(sK65),sK65)
| ~ spl99_4
| ~ spl99_34 ),
inference(resolution,[],[f651,f523]) ).
tff(f523,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK45(sK31(sK65),X0))
| ~ sP13(sK31(sK65),X0) )
| ~ spl99_4 ),
inference(resolution,[],[f507,f198]) ).
tff(f198,plain,
! [X0: $i,X1: '$world'] :
( ~ hollywood(sK45(X0,X1),X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
! [X0,X1: '$world'] :
( ( ~ hollywood(sK45(X0,X1),X0)
& '$accessible_world'(X1,sK45(X0,X1)) )
| ~ sP13(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f89,f90]) ).
tff(f90,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ hollywood(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ hollywood(sK45(X0,X1),X0)
& '$accessible_world'(X1,sK45(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f89,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ hollywood(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP13(X0,X1) ),
inference(rectify,[],[f88]) ).
tff(f88,plain,
! [X60,X38: '$world'] :
( ? [X73: '$world'] :
( ~ hollywood(X73,X60)
& '$accessible_world'(X38,X73) )
| ~ sP13(X60,X38) ),
inference(nnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X60,X38: '$world'] :
( ? [X73: '$world'] :
( ~ hollywood(X73,X60)
& '$accessible_world'(X38,X73) )
| ~ sP13(X60,X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
tff(f507,plain,
( ! [X6: '$world'] :
( hollywood(X6,sK31(sK65))
| ~ '$accessible_world'(sK65,X6) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f169]) ).
tff(f169,plain,
! [X0: '$world',X12: '$world'] :
( ~ sP24(X0)
| hollywood(X12,sK31(X0))
| ~ '$accessible_world'(X0,X12) ),
inference(cnf_transformation,[],[f47]) ).
tff(f651,plain,
( '$accessible_world'(sK65,sK45(sK31(sK65),sK65))
| ~ spl99_34 ),
inference(avatar_component_clause,[],[f649]) ).
tff(f649,plain,
( spl99_34
<=> '$accessible_world'(sK65,sK45(sK31(sK65),sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_34])]) ).
tff(f1423,plain,
( spl99_34
| ~ spl99_90 ),
inference(avatar_split_clause,[],[f1422,f1243,f649]) ).
tff(f1422,plain,
( '$accessible_world'(sK65,sK45(sK31(sK65),sK65))
| ~ spl99_90 ),
inference(resolution,[],[f1245,f197]) ).
tff(f197,plain,
! [X0: $i,X1: '$world'] :
( ~ sP13(X0,X1)
| '$accessible_world'(X1,sK45(X0,X1)) ),
inference(cnf_transformation,[],[f91]) ).
tff(f1420,plain,
( spl99_104
| ~ spl99_105
| ~ spl99_4
| ~ spl99_74 ),
inference(avatar_split_clause,[],[f1386,f1136,f326,f1417,f1413]) ).
tff(f1136,plain,
( spl99_74
<=> ! [X1] :
( sP77(sK65,X1)
| ~ down(sK29(sK65,sK33(sK65),X1),X1,sK33(sK65)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_74])]) ).
tff(f1386,plain,
( ~ '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| sP77(sK65,sK32(sK65))
| ~ spl99_4
| ~ spl99_74 ),
inference(resolution,[],[f1137,f503]) ).
tff(f1137,plain,
( ! [X1: $i] :
( ~ down(sK29(sK65,sK33(sK65),X1),X1,sK33(sK65))
| sP77(sK65,X1) )
| ~ spl99_74 ),
inference(avatar_component_clause,[],[f1136]) ).
tff(f1411,plain,
( spl99_90
| spl99_32
| spl99_93
| ~ spl99_100 ),
inference(avatar_split_clause,[],[f1410,f1329,f1254,f641,f1243]) ).
tff(f1254,plain,
( spl99_93
<=> sP14(sK31(sK65),sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_93])]) ).
tff(f1410,plain,
( sP13(sK31(sK65),sK65)
| spl99_32
| spl99_93
| ~ spl99_100 ),
inference(subsumption_resolution,[],[f1407,f1255]) ).
tff(f1255,plain,
( ~ sP14(sK31(sK65),sK65)
| spl99_93 ),
inference(avatar_component_clause,[],[f1254]) ).
tff(f1407,plain,
( sP14(sK31(sK65),sK65)
| sP13(sK31(sK65),sK65)
| spl99_32
| ~ spl99_100 ),
inference(resolution,[],[f1330,f643]) ).
tff(f643,plain,
( ~ sP19(sK65,sK31(sK65),sK32(sK65))
| spl99_32 ),
inference(avatar_component_clause,[],[f641]) ).
tff(f1330,plain,
( ! [X0: $i] :
( sP19(sK65,X0,sK32(sK65))
| sP14(X0,sK65)
| sP13(X0,sK65) )
| ~ spl99_100 ),
inference(avatar_component_clause,[],[f1329]) ).
tff(f1399,plain,
( spl99_94
| spl99_101 ),
inference(avatar_split_clause,[],[f1354,f1350,f1258]) ).
tff(f1350,plain,
( spl99_101
<=> sP71(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_101])]) ).
tff(f1354,plain,
( ! [X0: $i] :
( '$accessible_world'(sK65,sK30(sK65,X0))
| sP22(X0,sK65)
| '$accessible_world'(sK65,sK29(sK65,X0,sK32(sK65)))
| sP16(sK65,X0) )
| spl99_101 ),
inference(resolution,[],[f1352,f255]) ).
tff(f255,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( sP71(X0,X3)
| sP16(X0,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| '$accessible_world'(X0,sK29(X0,X2,X3))
| sP22(X2,X0) ),
inference(cnf_transformation,[],[f255_D]) ).
tff(f255_D,plain,
! [X3,X0] :
( ! [X2] :
( sP16(X0,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| '$accessible_world'(X0,sK29(X0,X2,X3))
| sP22(X2,X0) )
<=> ~ sP71(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP71])]) ).
tff(f1352,plain,
( ~ sP71(sK65,sK32(sK65))
| spl99_101 ),
inference(avatar_component_clause,[],[f1350]) ).
tff(f1395,plain,
( ~ spl99_4
| ~ spl99_75
| ~ spl99_76
| spl99_102
| spl99_103 ),
inference(avatar_contradiction_clause,[],[f1394]) ).
tff(f1394,plain,
( $false
| ~ spl99_4
| ~ spl99_75
| ~ spl99_76
| spl99_102
| spl99_103 ),
inference(subsumption_resolution,[],[f1393,f1383]) ).
tff(f1383,plain,
( '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| ~ spl99_75
| spl99_102 ),
inference(resolution,[],[f1141,f1364]) ).
tff(f1364,plain,
( ~ sP73(sK65,sK32(sK65))
| spl99_102 ),
inference(avatar_component_clause,[],[f1362]) ).
tff(f1141,plain,
( ! [X2: $i] :
( sP73(sK65,X2)
| '$accessible_world'(sK65,sK29(sK65,sK33(sK65),X2)) )
| ~ spl99_75 ),
inference(avatar_component_clause,[],[f1140]) ).
tff(f1140,plain,
( spl99_75
<=> ! [X2] :
( '$accessible_world'(sK65,sK29(sK65,sK33(sK65),X2))
| sP73(sK65,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_75])]) ).
tff(f1393,plain,
( ~ '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| ~ spl99_4
| ~ spl99_76
| spl99_103 ),
inference(subsumption_resolution,[],[f1392,f1380]) ).
tff(f1380,plain,
( ~ sP69(sK65,sK32(sK65))
| spl99_103 ),
inference(avatar_component_clause,[],[f1378]) ).
tff(f1378,plain,
( spl99_103
<=> sP69(sK65,sK32(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_103])]) ).
tff(f1392,plain,
( ~ '$accessible_world'(sK65,sK29(sK65,sK33(sK65),sK32(sK65)))
| sP69(sK65,sK32(sK65))
| ~ spl99_4
| ~ spl99_76 ),
inference(resolution,[],[f1145,f503]) ).
tff(f1145,plain,
( ! [X0: $i] :
( ~ down(sK29(sK65,sK33(sK65),X0),X0,sK33(sK65))
| sP69(sK65,X0) )
| ~ spl99_76 ),
inference(avatar_component_clause,[],[f1144]) ).
tff(f1144,plain,
( spl99_76
<=> ! [X0] :
( ~ down(sK29(sK65,sK33(sK65),X0),X0,sK33(sK65))
| sP69(sK65,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_76])]) ).
tff(f1381,plain,
( ~ spl99_103
| spl99_100
| ~ spl99_3
| spl99_26
| ~ spl99_88
| spl99_91 ),
inference(avatar_split_clause,[],[f1376,f1247,f1210,f614,f321,f1329,f1378]) ).
tff(f1210,plain,
( spl99_88
<=> ! [X1] :
( sP70(sK65,X1)
| sP18(sK34(sK65),X1,sK65) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_88])]) ).
tff(f1376,plain,
( ! [X0: $i] :
( sP14(X0,sK65)
| ~ sP69(sK65,sK32(sK65))
| sP19(sK65,X0,sK32(sK65))
| sP13(X0,sK65) )
| ~ spl99_3
| spl99_26
| ~ spl99_88
| spl99_91 ),
inference(subsumption_resolution,[],[f1375,f1248]) ).
tff(f1375,plain,
( ! [X0: $i] :
( ~ sP69(sK65,sK32(sK65))
| sP19(sK65,X0,sK32(sK65))
| sP20(sK32(sK65),sK65)
| sP13(X0,sK65)
| sP14(X0,sK65) )
| ~ spl99_3
| spl99_26
| ~ spl99_88 ),
inference(resolution,[],[f1370,f1112]) ).
tff(f1112,plain,
( ! [X2: $i,X3: $i] :
( ~ sP70(sK65,X2)
| sP14(X3,sK65)
| sP19(sK65,X3,X2)
| sP20(X2,sK65)
| sP13(X3,sK65)
| ~ sP69(sK65,X2) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f254]) ).
tff(f254,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| sP20(X3,X0)
| ~ sP70(X0,X3)
| sP19(X0,X4,X3)
| sP13(X4,X0)
| sP14(X4,X0)
| ~ sP69(X0,X3) ),
inference(general_splitting,[],[f252,f253_D]) ).
tff(f253,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP23(X0,X1)
| sP15(X0,X1)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP70(X0,X3)
| sP21(X0,X1) ),
inference(cnf_transformation,[],[f253_D]) ).
tff(f253_D,plain,
! [X3,X0] :
( ! [X1] :
( ~ dirty(sK28(X0,X1),X1)
| sP23(X0,X1)
| sP15(X0,X1)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP21(X0,X1) )
<=> ~ sP70(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP70])]) ).
tff(f252,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP69(X0,X3) ),
inference(general_splitting,[],[f161,f251_D]) ).
tff(f251,plain,
! [X2: $i,X3: $i,X0: '$world'] :
( ~ way(sK30(X0,X2),X2)
| sP16(X0,X2)
| sP22(X2,X0)
| sP69(X0,X3)
| ~ down(sK29(X0,X2,X3),X3,X2) ),
inference(cnf_transformation,[],[f251_D]) ).
tff(f251_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ way(sK30(X0,X2),X2)
| sP16(X0,X2)
| sP22(X2,X0)
| ~ down(sK29(X0,X2,X3),X3,X2) )
<=> ~ sP69(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP69])]) ).
tff(f161,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| ~ down(sK29(X0,X2,X3),X3,X2)
| ~ way(sK30(X0,X2),X2)
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1370,plain,
( sP70(sK65,sK32(sK65))
| spl99_26
| ~ spl99_88 ),
inference(resolution,[],[f1211,f616]) ).
tff(f1211,plain,
( ! [X1: $i] :
( sP18(sK34(sK65),X1,sK65)
| sP70(sK65,X1) )
| ~ spl99_88 ),
inference(avatar_component_clause,[],[f1210]) ).
tff(f1353,plain,
( ~ spl99_101
| spl99_100
| ~ spl99_3
| spl99_26
| ~ spl99_86
| spl99_91 ),
inference(avatar_split_clause,[],[f1348,f1247,f1202,f614,f321,f1329,f1350]) ).
tff(f1202,plain,
( spl99_86
<=> ! [X2] :
( sP72(sK65,X2)
| sP18(sK34(sK65),X2,sK65) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_86])]) ).
tff(f1348,plain,
( ! [X0: $i] :
( sP13(X0,sK65)
| sP19(sK65,X0,sK32(sK65))
| sP14(X0,sK65)
| ~ sP71(sK65,sK32(sK65)) )
| ~ spl99_3
| spl99_26
| ~ spl99_86
| spl99_91 ),
inference(subsumption_resolution,[],[f1347,f1248]) ).
tff(f1347,plain,
( ! [X0: $i] :
( ~ sP71(sK65,sK32(sK65))
| sP14(X0,sK65)
| sP13(X0,sK65)
| sP20(sK32(sK65),sK65)
| sP19(sK65,X0,sK32(sK65)) )
| ~ spl99_3
| spl99_26
| ~ spl99_86 ),
inference(resolution,[],[f1345,f1113]) ).
tff(f1113,plain,
( ! [X4: $i,X5: $i] :
( ~ sP72(sK65,X5)
| sP20(X5,sK65)
| sP19(sK65,X4,X5)
| ~ sP71(sK65,X5)
| sP14(X4,sK65)
| sP13(X4,sK65) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f258]) ).
tff(f258,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| sP19(X0,X4,X3)
| sP20(X3,X0)
| ~ sP72(X0,X3)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP71(X0,X3) ),
inference(general_splitting,[],[f256,f257_D]) ).
tff(f257,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP15(X0,X1)
| sP21(X0,X1)
| sP23(X0,X1)
| sP17(X1,X0)
| sP72(X0,X3)
| sP18(X1,X3,X0) ),
inference(cnf_transformation,[],[f257_D]) ).
tff(f257_D,plain,
! [X3,X0] :
( ! [X1] :
( ~ dirty(sK28(X0,X1),X1)
| sP15(X0,X1)
| sP21(X0,X1)
| sP23(X0,X1)
| sP17(X1,X0)
| sP18(X1,X3,X0) )
<=> ~ sP72(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP72])]) ).
tff(f256,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP71(X0,X3) ),
inference(general_splitting,[],[f160,f255_D]) ).
tff(f160,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| '$accessible_world'(X0,sK29(X0,X2,X3))
| '$accessible_world'(X0,sK30(X0,X2))
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1345,plain,
( sP72(sK65,sK32(sK65))
| spl99_26
| ~ spl99_86 ),
inference(resolution,[],[f1203,f616]) ).
tff(f1203,plain,
( ! [X2: $i] :
( sP18(sK34(sK65),X2,sK65)
| sP72(sK65,X2) )
| ~ spl99_86 ),
inference(avatar_component_clause,[],[f1202]) ).
tff(f1331,plain,
( spl99_100
| ~ spl99_31
| ~ spl99_3
| spl99_26
| ~ spl99_85
| spl99_91 ),
inference(avatar_split_clause,[],[f1327,f1247,f1198,f614,f321,f636,f1329]) ).
tff(f1198,plain,
( spl99_85
<=> ! [X0] :
( sP68(sK65,X0)
| sP18(sK34(sK65),X0,sK65) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_85])]) ).
tff(f1327,plain,
( ! [X0: $i] :
( ~ sP67(sK65,sK32(sK65))
| sP14(X0,sK65)
| sP19(sK65,X0,sK32(sK65))
| sP13(X0,sK65) )
| ~ spl99_3
| spl99_26
| ~ spl99_85
| spl99_91 ),
inference(subsumption_resolution,[],[f1326,f1248]) ).
tff(f1326,plain,
( ! [X0: $i] :
( ~ sP67(sK65,sK32(sK65))
| sP14(X0,sK65)
| sP20(sK32(sK65),sK65)
| sP19(sK65,X0,sK32(sK65))
| sP13(X0,sK65) )
| ~ spl99_3
| spl99_26
| ~ spl99_85 ),
inference(resolution,[],[f1319,f1111]) ).
tff(f1111,plain,
( ! [X0: $i,X1: $i] :
( ~ sP68(sK65,X0)
| ~ sP67(sK65,X0)
| sP13(X1,sK65)
| sP14(X1,sK65)
| sP19(sK65,X1,X0)
| sP20(X0,sK65) )
| ~ spl99_3 ),
inference(resolution,[],[f323,f250]) ).
tff(f250,plain,
! [X3: $i,X0: '$world',X4: $i] :
( ~ sP25(X0)
| sP20(X3,X0)
| ~ sP68(X0,X3)
| sP13(X4,X0)
| sP19(X0,X4,X3)
| ~ sP67(X0,X3)
| sP14(X4,X0) ),
inference(general_splitting,[],[f248,f249_D]) ).
tff(f249,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP68(X0,X3)
| sP21(X0,X1)
| sP23(X0,X1)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1) ),
inference(cnf_transformation,[],[f249_D]) ).
tff(f249_D,plain,
! [X3,X0] :
( ! [X1] :
( ~ dirty(sK28(X0,X1),X1)
| sP21(X0,X1)
| sP23(X0,X1)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1) )
<=> ~ sP68(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP68])]) ).
tff(f248,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| sP23(X0,X1)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0)
| ~ sP67(X0,X3) ),
inference(general_splitting,[],[f162,f247_D]) ).
tff(f162,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ dirty(sK28(X0,X1),X1)
| ~ down(sK29(X0,X2,X3),X3,X2)
| '$accessible_world'(X0,sK30(X0,X2))
| sP23(X0,X1)
| sP22(X2,X0)
| sP21(X0,X1)
| sP20(X3,X0)
| sP19(X0,X4,X3)
| sP18(X1,X3,X0)
| sP17(X1,X0)
| sP16(X0,X2)
| sP15(X0,X1)
| sP14(X4,X0)
| sP13(X4,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f1319,plain,
( sP68(sK65,sK32(sK65))
| spl99_26
| ~ spl99_85 ),
inference(resolution,[],[f1199,f616]) ).
tff(f1199,plain,
( ! [X0: $i] :
( sP18(sK34(sK65),X0,sK65)
| sP68(sK65,X0) )
| ~ spl99_85 ),
inference(avatar_component_clause,[],[f1198]) ).
tff(f1296,plain,
( ~ spl99_4
| ~ spl99_26 ),
inference(avatar_contradiction_clause,[],[f1295]) ).
tff(f1295,plain,
( $false
| ~ spl99_4
| ~ spl99_26 ),
inference(subsumption_resolution,[],[f1294,f615]) ).
tff(f615,plain,
( sP18(sK34(sK65),sK32(sK65),sK65)
| ~ spl99_26 ),
inference(avatar_component_clause,[],[f614]) ).
tff(f1294,plain,
( ~ sP18(sK34(sK65),sK32(sK65),sK65)
| ~ spl99_4
| ~ spl99_26 ),
inference(resolution,[],[f1238,f553]) ).
tff(f553,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK40(sK34(sK65),sK32(sK65),X0))
| ~ sP18(sK34(sK65),sK32(sK65),X0) )
| ~ spl99_4 ),
inference(resolution,[],[f513,f188]) ).
tff(f188,plain,
! [X2: '$world',X0: $i,X1: $i] :
( ~ barrel(sK40(X0,X1,X2),X1,X0)
| ~ sP18(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0,X1,X2: '$world'] :
( ( ~ barrel(sK40(X0,X1,X2),X1,X0)
& '$accessible_world'(X2,sK40(X0,X1,X2)) )
| ~ sP18(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f69,f70]) ).
tff(f70,plain,
! [X0,X1,X2: '$world'] :
( ? [X3: '$world'] :
( ~ barrel(X3,X1,X0)
& '$accessible_world'(X2,X3) )
=> ( ~ barrel(sK40(X0,X1,X2),X1,X0)
& '$accessible_world'(X2,sK40(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f69,plain,
! [X0,X1,X2: '$world'] :
( ? [X3: '$world'] :
( ~ barrel(X3,X1,X0)
& '$accessible_world'(X2,X3) )
| ~ sP18(X0,X1,X2) ),
inference(rectify,[],[f68]) ).
tff(f68,plain,
! [X58,X59,X38: '$world'] :
( ? [X64: '$world'] :
( ~ barrel(X64,X59,X58)
& '$accessible_world'(X38,X64) )
| ~ sP18(X58,X59,X38) ),
inference(nnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X58,X59,X38: '$world'] :
( ? [X64: '$world'] :
( ~ barrel(X64,X59,X58)
& '$accessible_world'(X38,X64) )
| ~ sP18(X58,X59,X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
tff(f513,plain,
( ! [X12: '$world'] :
( barrel(X12,sK32(sK65),sK34(sK65))
| ~ '$accessible_world'(sK65,X12) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f175]) ).
tff(f175,plain,
! [X0: '$world',X6: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X6)
| barrel(X6,sK32(X0),sK34(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f1238,plain,
( '$accessible_world'(sK65,sK40(sK34(sK65),sK32(sK65),sK65))
| ~ spl99_26 ),
inference(resolution,[],[f615,f187]) ).
tff(f187,plain,
! [X2: '$world',X0: $i,X1: $i] :
( ~ sP18(X0,X1,X2)
| '$accessible_world'(X2,sK40(X0,X1,X2)) ),
inference(cnf_transformation,[],[f71]) ).
tff(f1291,plain,
( ~ spl99_93
| ~ spl99_4
| ~ spl99_33 ),
inference(avatar_split_clause,[],[f1288,f645,f326,f1254]) ).
tff(f645,plain,
( spl99_33
<=> '$accessible_world'(sK65,sK44(sK31(sK65),sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_33])]) ).
tff(f1288,plain,
( ~ sP14(sK31(sK65),sK65)
| ~ spl99_4
| ~ spl99_33 ),
inference(resolution,[],[f647,f534]) ).
tff(f534,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK44(sK31(sK65),X0))
| ~ sP14(sK31(sK65),X0) )
| ~ spl99_4 ),
inference(resolution,[],[f511,f196]) ).
tff(f196,plain,
! [X0: $i,X1: '$world'] :
( ~ city(sK44(X0,X1),X0)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0,X1: '$world'] :
( ( ~ city(sK44(X0,X1),X0)
& '$accessible_world'(X1,sK44(X0,X1)) )
| ~ sP14(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f85,f86]) ).
tff(f86,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ city(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ city(sK44(X0,X1),X0)
& '$accessible_world'(X1,sK44(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f85,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ city(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP14(X0,X1) ),
inference(rectify,[],[f84]) ).
tff(f84,plain,
! [X60,X38: '$world'] :
( ? [X67: '$world'] :
( ~ city(X67,X60)
& '$accessible_world'(X38,X67) )
| ~ sP14(X60,X38) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X60,X38: '$world'] :
( ? [X67: '$world'] :
( ~ city(X67,X60)
& '$accessible_world'(X38,X67) )
| ~ sP14(X60,X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
tff(f511,plain,
( ! [X10: '$world'] :
( city(X10,sK31(sK65))
| ~ '$accessible_world'(sK65,X10) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f173]) ).
tff(f173,plain,
! [X0: '$world',X8: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X8)
| city(X8,sK31(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f647,plain,
( '$accessible_world'(sK65,sK44(sK31(sK65),sK65))
| ~ spl99_33 ),
inference(avatar_component_clause,[],[f645]) ).
tff(f1274,plain,
( spl99_33
| ~ spl99_93 ),
inference(avatar_split_clause,[],[f1273,f1254,f645]) ).
tff(f1273,plain,
( '$accessible_world'(sK65,sK44(sK31(sK65),sK65))
| ~ spl99_93 ),
inference(resolution,[],[f1256,f195]) ).
tff(f195,plain,
! [X0: $i,X1: '$world'] :
( ~ sP14(X0,X1)
| '$accessible_world'(X1,sK44(X0,X1)) ),
inference(cnf_transformation,[],[f87]) ).
tff(f1256,plain,
( sP14(sK31(sK65),sK65)
| ~ spl99_93 ),
inference(avatar_component_clause,[],[f1254]) ).
tff(f1262,plain,
( spl99_21
| ~ spl99_91 ),
inference(avatar_split_clause,[],[f1261,f1247,f595]) ).
tff(f1261,plain,
( '$accessible_world'(sK65,sK38(sK32(sK65),sK65))
| ~ spl99_91 ),
inference(resolution,[],[f1249,f183]) ).
tff(f183,plain,
! [X0: $i,X1: '$world'] :
( ~ sP20(X0,X1)
| '$accessible_world'(X1,sK38(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
tff(f1249,plain,
( sP20(sK32(sK65),sK65)
| ~ spl99_91 ),
inference(avatar_component_clause,[],[f1247]) ).
tff(f1225,plain,
( ~ spl99_4
| ~ spl99_27
| ~ spl99_81 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
tff(f1224,plain,
( $false
| ~ spl99_4
| ~ spl99_27
| ~ spl99_81 ),
inference(subsumption_resolution,[],[f1223,f1174]) ).
tff(f1174,plain,
( sP21(sK65,sK34(sK65))
| ~ spl99_81 ),
inference(avatar_component_clause,[],[f1172]) ).
tff(f1223,plain,
( ~ sP21(sK65,sK34(sK65))
| ~ spl99_4
| ~ spl99_27 ),
inference(resolution,[],[f620,f541]) ).
tff(f541,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK65,sK37(X0,sK34(sK65)))
| ~ sP21(X0,sK34(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f514,f181]) ).
tff(f181,plain,
! [X0: '$world',X1: $i] :
( ~ chevy(sK37(X0,X1),X1)
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK37(X0,X1))
& ~ chevy(sK37(X0,X1),X1) )
| ~ sP21(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f57,f58]) ).
tff(f58,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ chevy(X2,X1) )
=> ( '$accessible_world'(X0,sK37(X0,X1))
& ~ chevy(sK37(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f57,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ chevy(X2,X1) )
| ~ sP21(X0,X1) ),
inference(rectify,[],[f56]) ).
tff(f56,plain,
! [X38: '$world',X58] :
( ? [X70: '$world'] :
( '$accessible_world'(X38,X70)
& ~ chevy(X70,X58) )
| ~ sP21(X38,X58) ),
inference(nnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X38: '$world',X58] :
( ? [X70: '$world'] :
( '$accessible_world'(X38,X70)
& ~ chevy(X70,X58) )
| ~ sP21(X38,X58) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
tff(f514,plain,
( ! [X13: '$world'] :
( chevy(X13,sK34(sK65))
| ~ '$accessible_world'(sK65,X13) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f176]) ).
tff(f176,plain,
! [X0: '$world',X5: '$world'] :
( ~ sP24(X0)
| ~ '$accessible_world'(X0,X5)
| chevy(X5,sK34(X0)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f620,plain,
( '$accessible_world'(sK65,sK37(sK65,sK34(sK65)))
| ~ spl99_27 ),
inference(avatar_component_clause,[],[f618]) ).
tff(f618,plain,
( spl99_27
<=> '$accessible_world'(sK65,sK37(sK65,sK34(sK65))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_27])]) ).
tff(f1220,plain,
( spl99_24
| ~ spl99_77 ),
inference(avatar_split_clause,[],[f1219,f1156,f606]) ).
tff(f1219,plain,
( '$accessible_world'(sK65,sK35(sK65,sK34(sK65)))
| ~ spl99_77 ),
inference(resolution,[],[f1158,f178]) ).
tff(f178,plain,
! [X0: '$world',X1: $i] :
( ~ sP23(X0,X1)
| '$accessible_world'(X0,sK35(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
tff(f1217,plain,
( spl99_27
| ~ spl99_81 ),
inference(avatar_split_clause,[],[f1216,f1172,f618]) ).
tff(f1216,plain,
( '$accessible_world'(sK65,sK37(sK65,sK34(sK65)))
| ~ spl99_81 ),
inference(resolution,[],[f1174,f182]) ).
tff(f182,plain,
! [X0: '$world',X1: $i] :
( ~ sP21(X0,X1)
| '$accessible_world'(X0,sK37(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
tff(f1215,plain,
( spl99_25
| ~ spl99_80 ),
inference(avatar_split_clause,[],[f1214,f1168,f610]) ).
tff(f1214,plain,
( '$accessible_world'(sK65,sK41(sK34(sK65),sK65))
| ~ spl99_80 ),
inference(resolution,[],[f1170,f189]) ).
tff(f189,plain,
! [X0: $i,X1: '$world'] :
( ~ sP17(X0,X1)
| '$accessible_world'(X1,sK41(X0,X1)) ),
inference(cnf_transformation,[],[f75]) ).
tff(f1170,plain,
( sP17(sK34(sK65),sK65)
| ~ spl99_80 ),
inference(avatar_component_clause,[],[f1168]) ).
tff(f1212,plain,
( spl99_77
| spl99_81
| spl99_80
| spl99_79
| spl99_88
| ~ spl99_4
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f1194,f629,f326,f1210,f1164,f1168,f1172,f1156]) ).
tff(f1194,plain,
( ! [X1: $i] :
( sP70(sK65,X1)
| sP15(sK65,sK34(sK65))
| sP17(sK34(sK65),sK65)
| sP18(sK34(sK65),X1,sK65)
| sP21(sK65,sK34(sK65))
| sP23(sK65,sK34(sK65)) )
| ~ spl99_4
| ~ spl99_30 ),
inference(resolution,[],[f631,f539]) ).
tff(f539,plain,
( ! [X6: $i,X5: '$world'] :
( ~ '$accessible_world'(sK65,sK28(X5,sK34(sK65)))
| sP23(X5,sK34(sK65))
| sP21(X5,sK34(sK65))
| sP15(X5,sK34(sK65))
| sP17(sK34(sK65),X5)
| sP70(X5,X6)
| sP18(sK34(sK65),X6,X5) )
| ~ spl99_4 ),
inference(resolution,[],[f512,f253]) ).
tff(f512,plain,
( ! [X11: '$world'] :
( dirty(X11,sK34(sK65))
| ~ '$accessible_world'(sK65,X11) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f174]) ).
tff(f174,plain,
! [X0: '$world',X7: '$world'] :
( ~ sP24(X0)
| dirty(X7,sK34(X0))
| ~ '$accessible_world'(X0,X7) ),
inference(cnf_transformation,[],[f47]) ).
tff(f631,plain,
( '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| ~ spl99_30 ),
inference(avatar_component_clause,[],[f629]) ).
tff(f1208,plain,
( spl99_77
| spl99_81
| spl99_79
| spl99_87
| spl99_80
| ~ spl99_4
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f1196,f629,f326,f1168,f1206,f1164,f1172,f1156]) ).
tff(f1196,plain,
( ! [X3: $i] :
( sP17(sK34(sK65),sK65)
| sP18(sK34(sK65),X3,sK65)
| sP15(sK65,sK34(sK65))
| sP74(sK65,X3)
| sP21(sK65,sK34(sK65))
| sP23(sK65,sK34(sK65)) )
| ~ spl99_4
| ~ spl99_30 ),
inference(resolution,[],[f631,f537]) ).
tff(f537,plain,
( ! [X2: $i,X1: '$world'] :
( ~ '$accessible_world'(sK65,sK28(X1,sK34(sK65)))
| sP74(X1,X2)
| sP23(X1,sK34(sK65))
| sP15(X1,sK34(sK65))
| sP17(sK34(sK65),X1)
| sP18(sK34(sK65),X2,X1)
| sP21(X1,sK34(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f512,f261]) ).
tff(f1204,plain,
( spl99_77
| spl99_86
| spl99_79
| spl99_80
| spl99_81
| ~ spl99_4
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f1195,f629,f326,f1172,f1168,f1164,f1202,f1156]) ).
tff(f1195,plain,
( ! [X2: $i] :
( sP21(sK65,sK34(sK65))
| sP17(sK34(sK65),sK65)
| sP15(sK65,sK34(sK65))
| sP72(sK65,X2)
| sP18(sK34(sK65),X2,sK65)
| sP23(sK65,sK34(sK65)) )
| ~ spl99_4
| ~ spl99_30 ),
inference(resolution,[],[f631,f538]) ).
tff(f538,plain,
( ! [X3: '$world',X4: $i] :
( ~ '$accessible_world'(sK65,sK28(X3,sK34(sK65)))
| sP21(X3,sK34(sK65))
| sP23(X3,sK34(sK65))
| sP17(sK34(sK65),X3)
| sP15(X3,sK34(sK65))
| sP18(sK34(sK65),X4,X3)
| sP72(X3,X4) )
| ~ spl99_4 ),
inference(resolution,[],[f512,f257]) ).
tff(f1200,plain,
( spl99_77
| spl99_81
| spl99_80
| spl99_85
| spl99_79
| ~ spl99_4
| ~ spl99_30 ),
inference(avatar_split_clause,[],[f1193,f629,f326,f1164,f1198,f1168,f1172,f1156]) ).
tff(f1193,plain,
( ! [X0: $i] :
( sP15(sK65,sK34(sK65))
| sP68(sK65,X0)
| sP17(sK34(sK65),sK65)
| sP21(sK65,sK34(sK65))
| sP23(sK65,sK34(sK65))
| sP18(sK34(sK65),X0,sK65) )
| ~ spl99_4
| ~ spl99_30 ),
inference(resolution,[],[f631,f540]) ).
tff(f540,plain,
( ! [X8: $i,X7: '$world'] :
( ~ '$accessible_world'(sK65,sK28(X7,sK34(sK65)))
| sP15(X7,sK34(sK65))
| sP68(X7,X8)
| sP18(sK34(sK65),X8,X7)
| sP21(X7,sK34(sK65))
| sP17(sK34(sK65),X7)
| sP23(X7,sK34(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f512,f249]) ).
tff(f1185,plain,
( spl99_80
| spl99_83
| spl99_30
| spl99_79
| spl99_81
| spl99_77
| spl99_26 ),
inference(avatar_split_clause,[],[f1154,f614,f1156,f1172,f1164,f629,f1182,f1168]) ).
tff(f1154,plain,
( sP23(sK65,sK34(sK65))
| sP21(sK65,sK34(sK65))
| sP15(sK65,sK34(sK65))
| '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| sP76(sK65,sK32(sK65))
| sP17(sK34(sK65),sK65)
| spl99_26 ),
inference(resolution,[],[f616,f265]) ).
tff(f1180,plain,
( spl99_81
| spl99_82
| spl99_30
| spl99_77
| spl99_80
| spl99_79
| spl99_26 ),
inference(avatar_split_clause,[],[f1152,f614,f1164,f1168,f1156,f629,f1177,f1172]) ).
tff(f1152,plain,
( sP15(sK65,sK34(sK65))
| sP17(sK34(sK65),sK65)
| sP23(sK65,sK34(sK65))
| '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| sP80(sK65,sK32(sK65))
| sP21(sK65,sK34(sK65))
| spl99_26 ),
inference(resolution,[],[f616,f273]) ).
tff(f1175,plain,
( spl99_77
| spl99_78
| spl99_30
| spl99_79
| spl99_80
| spl99_81
| spl99_26 ),
inference(avatar_split_clause,[],[f1153,f614,f1172,f1168,f1164,f629,f1160,f1156]) ).
tff(f1153,plain,
( sP21(sK65,sK34(sK65))
| sP17(sK34(sK65),sK65)
| sP15(sK65,sK34(sK65))
| '$accessible_world'(sK65,sK28(sK65,sK34(sK65)))
| sP78(sK65,sK32(sK65))
| sP23(sK65,sK34(sK65))
| spl99_26 ),
inference(resolution,[],[f616,f269]) ).
tff(f1150,plain,
( spl99_18
| ~ spl99_73 ),
inference(avatar_split_clause,[],[f1149,f1131,f583]) ).
tff(f1149,plain,
( '$accessible_world'(sK65,sK42(sK65,sK33(sK65)))
| ~ spl99_73 ),
inference(resolution,[],[f1133,f192]) ).
tff(f192,plain,
! [X0: '$world',X1: $i] :
( ~ sP16(X0,X1)
| '$accessible_world'(X0,sK42(X0,X1)) ),
inference(cnf_transformation,[],[f79]) ).
tff(f1133,plain,
( sP16(sK65,sK33(sK65))
| ~ spl99_73 ),
inference(avatar_component_clause,[],[f1131]) ).
tff(f1148,plain,
( spl99_20
| ~ spl99_71 ),
inference(avatar_split_clause,[],[f1147,f1124,f591]) ).
tff(f1147,plain,
( '$accessible_world'(sK65,sK36(sK33(sK65),sK65))
| ~ spl99_71 ),
inference(resolution,[],[f1126,f179]) ).
tff(f179,plain,
! [X0: $i,X1: '$world'] :
( ~ sP22(X0,X1)
| '$accessible_world'(X1,sK36(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
tff(f1126,plain,
( sP22(sK33(sK65),sK65)
| ~ spl99_71 ),
inference(avatar_component_clause,[],[f1124]) ).
tff(f1146,plain,
( spl99_73
| spl99_76
| spl99_71
| ~ spl99_4
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f1119,f587,f326,f1124,f1144,f1131]) ).
tff(f1119,plain,
( ! [X0: $i] :
( sP22(sK33(sK65),sK65)
| ~ down(sK29(sK65,sK33(sK65),X0),X0,sK33(sK65))
| sP69(sK65,X0)
| sP16(sK65,sK33(sK65)) )
| ~ spl99_4
| ~ spl99_19 ),
inference(resolution,[],[f589,f527]) ).
tff(f527,plain,
( ! [X3: '$world',X4: $i] :
( ~ '$accessible_world'(sK65,sK30(X3,sK33(sK65)))
| ~ down(sK29(X3,sK33(sK65),X4),X4,sK33(sK65))
| sP22(sK33(sK65),X3)
| sP16(X3,sK33(sK65))
| sP69(X3,X4) )
| ~ spl99_4 ),
inference(resolution,[],[f508,f251]) ).
tff(f508,plain,
( ! [X7: '$world'] :
( way(X7,sK33(sK65))
| ~ '$accessible_world'(sK65,X7) )
| ~ spl99_4 ),
inference(resolution,[],[f328,f170]) ).
tff(f170,plain,
! [X0: '$world',X11: '$world'] :
( ~ sP24(X0)
| way(X11,sK33(X0))
| ~ '$accessible_world'(X0,X11) ),
inference(cnf_transformation,[],[f47]) ).
tff(f589,plain,
( '$accessible_world'(sK65,sK30(sK65,sK33(sK65)))
| ~ spl99_19 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f1142,plain,
( spl99_73
| spl99_75
| spl99_71
| ~ spl99_4
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f1121,f587,f326,f1124,f1140,f1131]) ).
tff(f1121,plain,
( ! [X2: $i] :
( sP22(sK33(sK65),sK65)
| '$accessible_world'(sK65,sK29(sK65,sK33(sK65),X2))
| sP73(sK65,X2)
| sP16(sK65,sK33(sK65)) )
| ~ spl99_4
| ~ spl99_19 ),
inference(resolution,[],[f589,f529]) ).
tff(f529,plain,
( ! [X8: $i,X7: '$world'] :
( ~ '$accessible_world'(sK65,sK30(X7,sK33(sK65)))
| sP22(sK33(sK65),X7)
| sP16(X7,sK33(sK65))
| '$accessible_world'(X7,sK29(X7,sK33(sK65),X8))
| sP73(X7,X8) )
| ~ spl99_4 ),
inference(resolution,[],[f508,f259]) ).
tff(f1138,plain,
( spl99_71
| spl99_74
| spl99_73
| ~ spl99_4
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f1120,f587,f326,f1131,f1136,f1124]) ).
tff(f1120,plain,
( ! [X1: $i] :
( sP16(sK65,sK33(sK65))
| sP77(sK65,X1)
| ~ down(sK29(sK65,sK33(sK65),X1),X1,sK33(sK65))
| sP22(sK33(sK65),sK65) )
| ~ spl99_4
| ~ spl99_19 ),
inference(resolution,[],[f589,f526]) ).
tff(f526,plain,
( ! [X2: $i,X1: '$world'] :
( ~ '$accessible_world'(sK65,sK30(X1,sK33(sK65)))
| sP77(X1,X2)
| ~ down(sK29(X1,sK33(sK65),X2),X2,sK33(sK65))
| sP22(sK33(sK65),X1)
| sP16(X1,sK33(sK65)) )
| ~ spl99_4 ),
inference(resolution,[],[f508,f267]) ).
tff(f1134,plain,
( spl99_71
| spl99_72
| spl99_73
| ~ spl99_4
| ~ spl99_19 ),
inference(avatar_split_clause,[],[f1122,f587,f326,f1131,f1128,f1124]) ).
tff(f1122,plain,
( ! [X3: $i] :
( sP16(sK65,sK33(sK65))
| '$accessible_world'(sK65,sK29(sK65,sK33(sK65),X3))
| sP22(sK33(sK65),sK65)
| sP81(sK65,X3) )
| ~ spl99_4
| ~ spl99_19 ),
inference(resolution,[],[f589,f528]) ).
tff(f528,plain,
( ! [X6: $i,X5: '$world'] :
( ~ '$accessible_world'(sK65,sK30(X5,sK33(sK65)))
| sP22(sK33(sK65),X5)
| sP16(X5,sK33(sK65))
| sP81(X5,X6)
| '$accessible_world'(X5,sK29(X5,sK33(sK65),X6)) )
| ~ spl99_4 ),
inference(resolution,[],[f508,f275]) ).
tff(f1110,plain,
( spl99_53
| spl99_41
| spl99_45
| spl99_47
| spl99_48
| spl99_49
| spl99_50 ),
inference(avatar_split_clause,[],[f1109,f798,f794,f790,f786,f772,f756,f812]) ).
tff(f812,plain,
( spl99_53
<=> sP83(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_53])]) ).
tff(f756,plain,
( spl99_41
<=> '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_41])]) ).
tff(f772,plain,
( spl99_45
<=> sP3(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_45])]) ).
tff(f786,plain,
( spl99_47
<=> sP1(sK51(sK27(sK64)),sK27(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_47])]) ).
tff(f790,plain,
( spl99_48
<=> sP9(sK27(sK64),sK51(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_48])]) ).
tff(f794,plain,
( spl99_49
<=> sP10(sK51(sK27(sK64)),sK27(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_49])]) ).
tff(f798,plain,
( spl99_50
<=> sP7(sK27(sK64),sK51(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_50])]) ).
tff(f1109,plain,
( '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP83(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| spl99_47
| spl99_48
| spl99_49
| spl99_50 ),
inference(subsumption_resolution,[],[f1108,f795]) ).
tff(f795,plain,
( ~ sP10(sK51(sK27(sK64)),sK27(sK64))
| spl99_49 ),
inference(avatar_component_clause,[],[f794]) ).
tff(f1108,plain,
( '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP83(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| spl99_47
| spl99_48
| spl99_50 ),
inference(subsumption_resolution,[],[f1107,f791]) ).
tff(f791,plain,
( ~ sP9(sK27(sK64),sK51(sK27(sK64)))
| spl99_48 ),
inference(avatar_component_clause,[],[f790]) ).
tff(f1107,plain,
( sP83(sK27(sK64),sK49(sK27(sK64)))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| spl99_45
| spl99_47
| spl99_50 ),
inference(subsumption_resolution,[],[f1106,f787]) ).
tff(f787,plain,
( ~ sP1(sK51(sK27(sK64)),sK27(sK64))
| spl99_47 ),
inference(avatar_component_clause,[],[f786]) ).
tff(f1106,plain,
( '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP83(sK27(sK64),sK49(sK27(sK64)))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| spl99_45
| spl99_50 ),
inference(subsumption_resolution,[],[f894,f799]) ).
tff(f799,plain,
( ~ sP7(sK27(sK64),sK51(sK27(sK64)))
| spl99_50 ),
inference(avatar_component_clause,[],[f798]) ).
tff(f894,plain,
( sP7(sK27(sK64),sK51(sK27(sK64)))
| sP83(sK27(sK64),sK49(sK27(sK64)))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| spl99_45 ),
inference(resolution,[],[f774,f279]) ).
tff(f279,plain,
! [X2: $i,X0: '$world',X1: $i] :
( sP3(X0,X2,X1)
| sP9(X0,X2)
| sP83(X0,X1)
| '$accessible_world'(X0,sK46(X0,X2))
| sP10(X2,X0)
| sP7(X0,X2)
| sP1(X2,X0) ),
inference(cnf_transformation,[],[f279_D]) ).
tff(f279_D,plain,
! [X1,X0] :
( ! [X2] :
( sP3(X0,X2,X1)
| sP9(X0,X2)
| '$accessible_world'(X0,sK46(X0,X2))
| sP10(X2,X0)
| sP7(X0,X2)
| sP1(X2,X0) )
<=> ~ sP83(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP83])]) ).
tff(f774,plain,
( ~ sP3(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64)))
| spl99_45 ),
inference(avatar_component_clause,[],[f772]) ).
tff(f1105,plain,
( ~ spl99_2
| spl99_15
| ~ spl99_65
| spl99_66
| spl99_67
| spl99_68 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
tff(f1104,plain,
( $false
| ~ spl99_2
| spl99_15
| ~ spl99_65
| spl99_66
| spl99_67
| spl99_68 ),
inference(subsumption_resolution,[],[f1103,f974]) ).
tff(f974,plain,
( ~ sP2(sK27(sK64),sK52(sK27(sK64)))
| spl99_66 ),
inference(avatar_component_clause,[],[f973]) ).
tff(f973,plain,
( spl99_66
<=> sP2(sK27(sK64),sK52(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_66])]) ).
tff(f1103,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| spl99_15
| ~ spl99_65
| spl99_67
| spl99_68 ),
inference(subsumption_resolution,[],[f1102,f482]) ).
tff(f482,plain,
( ~ sP92(sK27(sK64),sK49(sK27(sK64)))
| spl99_15 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f481,plain,
( spl99_15
<=> sP92(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_15])]) ).
tff(f1102,plain,
( sP92(sK27(sK64),sK49(sK27(sK64)))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65
| spl99_67
| spl99_68 ),
inference(subsumption_resolution,[],[f1101,f1056]) ).
tff(f1056,plain,
( ~ sP0(sK52(sK27(sK64)),sK27(sK64))
| spl99_68 ),
inference(avatar_component_clause,[],[f1055]) ).
tff(f1055,plain,
( spl99_68
<=> sP0(sK52(sK27(sK64)),sK27(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_68])]) ).
tff(f1101,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP92(sK27(sK64),sK49(sK27(sK64)))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65
| spl99_67 ),
inference(subsumption_resolution,[],[f1089,f978]) ).
tff(f978,plain,
( ~ sP8(sK52(sK27(sK64)),sK27(sK64))
| spl99_67 ),
inference(avatar_component_clause,[],[f977]) ).
tff(f977,plain,
( spl99_67
<=> sP8(sK52(sK27(sK64)),sK27(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_67])]) ).
tff(f1089,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP92(sK27(sK64),sK49(sK27(sK64)))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f712]) ).
tff(f712,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK48(X1,sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP92(X1,sK49(sK27(sK64)))
| sP0(sK52(sK27(sK64)),X1)
| sP8(sK52(sK27(sK64)),X1)
| sP2(X1,sK52(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f676,f297]) ).
tff(f297,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP0(X3,X0)
| sP8(X3,X0)
| sP2(X0,X3)
| sP92(X0,X1) ),
inference(cnf_transformation,[],[f297_D]) ).
tff(f297_D,plain,
! [X1,X0] :
( ! [X3] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP0(X3,X0)
| sP8(X3,X0)
| sP2(X0,X3) )
<=> ~ sP92(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP92])]) ).
tff(f676,plain,
( ! [X12: '$world'] :
( down(X12,sK49(sK27(sK64)),sK52(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X12) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f219]) ).
tff(f219,plain,
! [X0: '$world',X6: '$world'] :
( ~ sP11(X0)
| down(X6,sK49(X0),sK52(X0))
| ~ '$accessible_world'(X0,X6) ),
inference(cnf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: '$world'] :
( ( ! [X5: '$world'] :
( in(X5,sK49(X0),sK50(X0))
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( down(X6,sK49(X0),sK52(X0))
| ~ '$accessible_world'(X0,X6) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| way(X7,sK52(X0)) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X0,X8)
| city(X8,sK50(X0)) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| dirty(X9,sK51(X0)) )
& ! [X10: '$world'] :
( chevy(X10,sK51(X0))
| ~ '$accessible_world'(X0,X10) )
& ! [X11: '$world'] :
( ~ '$accessible_world'(X0,X11)
| event(X11,sK49(X0)) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,sK50(X0)) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| street(X13,sK52(X0)) )
& ! [X14: '$world'] :
( car(X14,sK51(X0))
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( barrel(X15,sK49(X0),sK51(X0))
| ~ '$accessible_world'(X0,X15) )
& ! [X16: '$world'] :
( ~ '$accessible_world'(X0,X16)
| lonely(X16,sK52(X0)) )
& ! [X17: '$world'] :
( old(X17,sK51(X0))
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X0,X18)
| white(X18,sK51(X0)) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52])],[f99,f100]) ).
tff(f100,plain,
! [X0: '$world'] :
( ? [X1,X2,X3,X4] :
( ! [X5: '$world'] :
( in(X5,X1,X2)
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( down(X6,X1,X4)
| ~ '$accessible_world'(X0,X6) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| way(X7,X4) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X0,X8)
| city(X8,X2) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| dirty(X9,X3) )
& ! [X10: '$world'] :
( chevy(X10,X3)
| ~ '$accessible_world'(X0,X10) )
& ! [X11: '$world'] :
( ~ '$accessible_world'(X0,X11)
| event(X11,X1) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,X2) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| street(X13,X4) )
& ! [X14: '$world'] :
( car(X14,X3)
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( barrel(X15,X1,X3)
| ~ '$accessible_world'(X0,X15) )
& ! [X16: '$world'] :
( ~ '$accessible_world'(X0,X16)
| lonely(X16,X4) )
& ! [X17: '$world'] :
( old(X17,X3)
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X0,X18)
| white(X18,X3) ) )
=> ( ! [X5: '$world'] :
( in(X5,sK49(X0),sK50(X0))
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( down(X6,sK49(X0),sK52(X0))
| ~ '$accessible_world'(X0,X6) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| way(X7,sK52(X0)) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X0,X8)
| city(X8,sK50(X0)) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| dirty(X9,sK51(X0)) )
& ! [X10: '$world'] :
( chevy(X10,sK51(X0))
| ~ '$accessible_world'(X0,X10) )
& ! [X11: '$world'] :
( ~ '$accessible_world'(X0,X11)
| event(X11,sK49(X0)) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,sK50(X0)) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| street(X13,sK52(X0)) )
& ! [X14: '$world'] :
( car(X14,sK51(X0))
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( barrel(X15,sK49(X0),sK51(X0))
| ~ '$accessible_world'(X0,X15) )
& ! [X16: '$world'] :
( ~ '$accessible_world'(X0,X16)
| lonely(X16,sK52(X0)) )
& ! [X17: '$world'] :
( old(X17,sK51(X0))
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X0,X18)
| white(X18,sK51(X0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f99,plain,
! [X0: '$world'] :
( ? [X1,X2,X3,X4] :
( ! [X5: '$world'] :
( in(X5,X1,X2)
| ~ '$accessible_world'(X0,X5) )
& ! [X6: '$world'] :
( down(X6,X1,X4)
| ~ '$accessible_world'(X0,X6) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X0,X7)
| way(X7,X4) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X0,X8)
| city(X8,X2) )
& ! [X9: '$world'] :
( ~ '$accessible_world'(X0,X9)
| dirty(X9,X3) )
& ! [X10: '$world'] :
( chevy(X10,X3)
| ~ '$accessible_world'(X0,X10) )
& ! [X11: '$world'] :
( ~ '$accessible_world'(X0,X11)
| event(X11,X1) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X0,X12)
| hollywood(X12,X2) )
& ! [X13: '$world'] :
( ~ '$accessible_world'(X0,X13)
| street(X13,X4) )
& ! [X14: '$world'] :
( car(X14,X3)
| ~ '$accessible_world'(X0,X14) )
& ! [X15: '$world'] :
( barrel(X15,X1,X3)
| ~ '$accessible_world'(X0,X15) )
& ! [X16: '$world'] :
( ~ '$accessible_world'(X0,X16)
| lonely(X16,X4) )
& ! [X17: '$world'] :
( old(X17,X3)
| ~ '$accessible_world'(X0,X17) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X0,X18)
| white(X18,X3) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f98]) ).
tff(f98,plain,
! [X1: '$world'] :
( ? [X2,X5,X4,X3] :
( ! [X11: '$world'] :
( in(X11,X2,X5)
| ~ '$accessible_world'(X1,X11) )
& ! [X16: '$world'] :
( down(X16,X2,X3)
| ~ '$accessible_world'(X1,X16) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X1,X12)
| way(X12,X3) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X1,X8)
| city(X8,X5) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X1,X10)
| dirty(X10,X4) )
& ! [X13: '$world'] :
( chevy(X13,X4)
| ~ '$accessible_world'(X1,X13) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X1,X6)
| event(X6,X2) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X1,X7)
| hollywood(X7,X5) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X1,X18)
| street(X18,X3) )
& ! [X14: '$world'] :
( car(X14,X4)
| ~ '$accessible_world'(X1,X14) )
& ! [X15: '$world'] :
( barrel(X15,X2,X4)
| ~ '$accessible_world'(X1,X15) )
& ! [X19: '$world'] :
( ~ '$accessible_world'(X1,X19)
| lonely(X19,X3) )
& ! [X9: '$world'] :
( old(X9,X4)
| ~ '$accessible_world'(X1,X9) )
& ! [X17: '$world'] :
( ~ '$accessible_world'(X1,X17)
| white(X17,X4) ) )
| ~ sP11(X1) ),
inference(nnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X1: '$world'] :
( ? [X2,X5,X4,X3] :
( ! [X11: '$world'] :
( in(X11,X2,X5)
| ~ '$accessible_world'(X1,X11) )
& ! [X16: '$world'] :
( down(X16,X2,X3)
| ~ '$accessible_world'(X1,X16) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X1,X12)
| way(X12,X3) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X1,X8)
| city(X8,X5) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X1,X10)
| dirty(X10,X4) )
& ! [X13: '$world'] :
( chevy(X13,X4)
| ~ '$accessible_world'(X1,X13) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X1,X6)
| event(X6,X2) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X1,X7)
| hollywood(X7,X5) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X1,X18)
| street(X18,X3) )
& ! [X14: '$world'] :
( car(X14,X4)
| ~ '$accessible_world'(X1,X14) )
& ! [X15: '$world'] :
( barrel(X15,X2,X4)
| ~ '$accessible_world'(X1,X15) )
& ! [X19: '$world'] :
( ~ '$accessible_world'(X1,X19)
| lonely(X19,X3) )
& ! [X9: '$world'] :
( old(X9,X4)
| ~ '$accessible_world'(X1,X9) )
& ! [X17: '$world'] :
( ~ '$accessible_world'(X1,X17)
| white(X17,X4) ) )
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
tff(f655,plain,
( sP11(sK27(sK64))
| ~ spl99_2 ),
inference(resolution,[],[f318,f152]) ).
tff(f152,plain,
! [X0: '$world'] :
( ~ sP26(X0)
| sP11(sK27(X0)) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: '$world'] :
( ( '$accessible_world'(X0,sK27(X0))
& sP12(sK27(X0))
& sP11(sK27(X0)) )
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f35,f36]) ).
tff(f36,plain,
! [X0: '$world'] :
( ? [X1: '$world'] :
( '$accessible_world'(X0,X1)
& sP12(X1)
& sP11(X1) )
=> ( '$accessible_world'(X0,sK27(X0))
& sP12(sK27(X0))
& sP11(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
! [X0: '$world'] :
( ? [X1: '$world'] :
( '$accessible_world'(X0,X1)
& sP12(X1)
& sP11(X1) )
| ~ sP26(X0) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: '$world'] :
( ? [X1: '$world'] :
( '$accessible_world'(X0,X1)
& sP12(X1)
& sP11(X1) )
| ~ sP26(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
tff(f318,plain,
( sP26(sK64)
| ~ spl99_2 ),
inference(avatar_component_clause,[],[f316]) ).
tff(f316,plain,
( spl99_2
<=> sP26(sK64) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_2])]) ).
tff(f965,plain,
( '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),sK52(sK27(sK64))))
| ~ spl99_65 ),
inference(avatar_component_clause,[],[f963]) ).
tff(f963,plain,
( spl99_65
<=> '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),sK52(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_65])]) ).
tff(f1100,plain,
( ~ spl99_2
| spl99_16
| ~ spl99_65
| spl99_66
| spl99_67
| spl99_68 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
tff(f1099,plain,
( $false
| ~ spl99_2
| spl99_16
| ~ spl99_65
| spl99_66
| spl99_67
| spl99_68 ),
inference(subsumption_resolution,[],[f1098,f978]) ).
tff(f1098,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| spl99_16
| ~ spl99_65
| spl99_66
| spl99_68 ),
inference(subsumption_resolution,[],[f1097,f1056]) ).
tff(f1097,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| spl99_16
| ~ spl99_65
| spl99_66 ),
inference(subsumption_resolution,[],[f1096,f974]) ).
tff(f1096,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| spl99_16
| ~ spl99_65 ),
inference(subsumption_resolution,[],[f1087,f490]) ).
tff(f490,plain,
( ~ sP84(sK27(sK64),sK49(sK27(sK64)))
| spl99_16 ),
inference(avatar_component_clause,[],[f489]) ).
tff(f489,plain,
( spl99_16
<=> sP84(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_16])]) ).
tff(f1087,plain,
( sP84(sK27(sK64),sK49(sK27(sK64)))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f714]) ).
tff(f714,plain,
( ! [X3: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK48(X3,sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP8(sK52(sK27(sK64)),X3)
| sP0(sK52(sK27(sK64)),X3)
| sP2(X3,sK52(sK27(sK64)))
| sP84(X3,sK49(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f676,f281]) ).
tff(f281,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP0(X3,X0)
| sP84(X0,X1)
| sP8(X3,X0)
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f281_D]) ).
tff(f281_D,plain,
! [X1,X0] :
( ! [X3] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP0(X3,X0)
| sP8(X3,X0)
| sP2(X0,X3) )
<=> ~ sP84(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP84])]) ).
tff(f1095,plain,
( ~ spl99_2
| spl99_14
| ~ spl99_65
| spl99_66
| spl99_67
| spl99_68 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
tff(f1094,plain,
( $false
| ~ spl99_2
| spl99_14
| ~ spl99_65
| spl99_66
| spl99_67
| spl99_68 ),
inference(subsumption_resolution,[],[f1093,f978]) ).
tff(f1093,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| spl99_14
| ~ spl99_65
| spl99_66
| spl99_68 ),
inference(subsumption_resolution,[],[f1092,f474]) ).
tff(f474,plain,
( ~ sP88(sK27(sK64),sK49(sK27(sK64)))
| spl99_14 ),
inference(avatar_component_clause,[],[f473]) ).
tff(f473,plain,
( spl99_14
<=> sP88(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_14])]) ).
tff(f1092,plain,
( sP88(sK27(sK64),sK49(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_65
| spl99_66
| spl99_68 ),
inference(subsumption_resolution,[],[f1091,f1056]) ).
tff(f1091,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP88(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65
| spl99_66 ),
inference(subsumption_resolution,[],[f1088,f974]) ).
tff(f1088,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP88(sK27(sK64),sK49(sK27(sK64)))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f713]) ).
tff(f713,plain,
( ! [X2: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK48(X2,sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP88(X2,sK49(sK27(sK64)))
| sP2(X2,sK52(sK27(sK64)))
| sP0(sK52(sK27(sK64)),X2)
| sP8(sK52(sK27(sK64)),X2) )
| ~ spl99_2 ),
inference(resolution,[],[f676,f289]) ).
tff(f289,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP8(X3,X0)
| sP88(X0,X1)
| sP2(X0,X3)
| sP0(X3,X0) ),
inference(cnf_transformation,[],[f289_D]) ).
tff(f289_D,plain,
! [X1,X0] :
( ! [X3] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP8(X3,X0)
| sP2(X0,X3)
| sP0(X3,X0) )
<=> ~ sP88(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP88])]) ).
tff(f1077,plain,
( spl99_63
| spl99_7
| ~ spl99_2
| spl99_5
| ~ spl99_51 ),
inference(avatar_split_clause,[],[f1076,f802,f413,f316,f421,f942]) ).
tff(f942,plain,
( spl99_63
<=> ! [X0] :
( sP4(X0,sK27(sK64))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| sP6(X0,sK27(sK64)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_63])]) ).
tff(f421,plain,
( spl99_7
<=> ! [X1] :
( sP8(X1,sK27(sK64))
| sP0(X1,sK27(sK64))
| sP2(sK27(sK64),X1)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_7])]) ).
tff(f413,plain,
( spl99_5
<=> sP5(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_5])]) ).
tff(f802,plain,
( spl99_51
<=> sP89(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_51])]) ).
tff(f1076,plain,
( ! [X0: $i,X1: $i] :
( sP2(sK27(sK64),X0)
| sP6(X1,sK27(sK64))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X1),sK49(sK27(sK64)),X1)
| sP0(X0,sK27(sK64))
| sP4(X1,sK27(sK64))
| sP8(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X0)) )
| ~ spl99_2
| spl99_5
| ~ spl99_51 ),
inference(subsumption_resolution,[],[f1072,f414]) ).
tff(f414,plain,
( ~ sP5(sK27(sK64),sK49(sK27(sK64)))
| spl99_5 ),
inference(avatar_component_clause,[],[f413]) ).
tff(f1072,plain,
( ! [X0: $i,X1: $i] :
( '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X0))
| sP0(X0,sK27(sK64))
| sP5(sK27(sK64),sK49(sK27(sK64)))
| sP4(X1,sK27(sK64))
| sP2(sK27(sK64),X0)
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X1),sK49(sK27(sK64)),X1)
| sP8(X0,sK27(sK64))
| sP6(X1,sK27(sK64)) )
| ~ spl99_2
| ~ spl99_51 ),
inference(resolution,[],[f804,f719]) ).
tff(f719,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ sP89(sK27(sK64),X0)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),X0,X2))
| sP8(X2,sK27(sK64))
| sP2(sK27(sK64),X2)
| sP4(X1,sK27(sK64))
| sP5(sK27(sK64),X0)
| sP0(X2,sK27(sK64))
| sP6(X1,sK27(sK64))
| ~ in(sK47(sK27(sK64),X0,X1),X0,X1) )
| ~ spl99_2 ),
inference(resolution,[],[f659,f293]) ).
tff(f293,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP90(X0,X1)
| sP0(X3,X0)
| sP8(X3,X0)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f293_D]) ).
tff(f293_D,plain,
! [X1,X0] :
( ! [X3] :
( sP0(X3,X0)
| sP8(X3,X0)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP2(X0,X3) )
<=> ~ sP90(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP90])]) ).
tff(f659,plain,
( ! [X6: $i,X7: $i] :
( ~ sP90(sK27(sK64),X6)
| ~ sP89(sK27(sK64),X6)
| sP6(X7,sK27(sK64))
| ~ in(sK47(sK27(sK64),X6,X7),X6,X7)
| sP4(X7,sK27(sK64))
| sP5(sK27(sK64),X6) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f294]) ).
tff(f294,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| ~ in(sK47(X0,X1,X4),X1,X4)
| sP4(X4,X0)
| sP5(X0,X1)
| ~ sP89(X0,X1)
| ~ sP90(X0,X1)
| sP6(X4,X0) ),
inference(general_splitting,[],[f292,f293_D]) ).
tff(f292,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ in(sK47(X0,X1,X4),X1,X4)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP89(X0,X1) ),
inference(general_splitting,[],[f203,f291_D]) ).
tff(f291,plain,
! [X2: $i,X0: '$world',X1: $i] :
( sP3(X0,X2,X1)
| sP1(X2,X0)
| sP7(X0,X2)
| sP9(X0,X2)
| sP10(X2,X0)
| sP89(X0,X1)
| '$accessible_world'(X0,sK46(X0,X2)) ),
inference(cnf_transformation,[],[f291_D]) ).
tff(f291_D,plain,
! [X1,X0] :
( ! [X2] :
( sP3(X0,X2,X1)
| sP1(X2,X0)
| sP7(X0,X2)
| sP9(X0,X2)
| sP10(X2,X0)
| '$accessible_world'(X0,sK46(X0,X2)) )
<=> ~ sP89(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP89])]) ).
tff(f203,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK46(X0,X2))
| ~ in(sK47(X0,X1,X4),X1,X4)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: '$world'] :
( ! [X1,X2,X3,X4] :
( ( '$accessible_world'(X0,sK46(X0,X2))
& ~ chevy(sK46(X0,X2),X2) )
| ( '$accessible_world'(X0,sK47(X0,X1,X4))
& ~ in(sK47(X0,X1,X4),X1,X4) )
| ( ~ down(sK48(X0,X1,X3),X1,X3)
& '$accessible_world'(X0,sK48(X0,X1,X3)) )
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48])],[f93,f96,f95,f94]) ).
tff(f94,plain,
! [X0: '$world',X2] :
( ? [X5: '$world'] :
( '$accessible_world'(X0,X5)
& ~ chevy(X5,X2) )
=> ( '$accessible_world'(X0,sK46(X0,X2))
& ~ chevy(sK46(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
tff(f95,plain,
! [X0: '$world',X1,X4] :
( ? [X6: '$world'] :
( '$accessible_world'(X0,X6)
& ~ in(X6,X1,X4) )
=> ( '$accessible_world'(X0,sK47(X0,X1,X4))
& ~ in(sK47(X0,X1,X4),X1,X4) ) ),
introduced(choice_axiom,[]) ).
tff(f96,plain,
! [X0: '$world',X1,X3] :
( ? [X7: '$world'] :
( ~ down(X7,X1,X3)
& '$accessible_world'(X0,X7) )
=> ( ~ down(sK48(X0,X1,X3),X1,X3)
& '$accessible_world'(X0,sK48(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
tff(f93,plain,
! [X0: '$world'] :
( ! [X1,X2,X3,X4] :
( ? [X5: '$world'] :
( '$accessible_world'(X0,X5)
& ~ chevy(X5,X2) )
| ? [X6: '$world'] :
( '$accessible_world'(X0,X6)
& ~ in(X6,X1,X4) )
| ? [X7: '$world'] :
( ~ down(X7,X1,X3)
& '$accessible_world'(X0,X7) )
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0) )
| ~ sP12(X0) ),
inference(rectify,[],[f92]) ).
tff(f92,plain,
! [X1: '$world'] :
( ! [X22,X23,X20,X21] :
( ? [X28: '$world'] :
( '$accessible_world'(X1,X28)
& ~ chevy(X28,X23) )
| ? [X34: '$world'] :
( '$accessible_world'(X1,X34)
& ~ in(X34,X22,X21) )
| ? [X27: '$world'] :
( ~ down(X27,X22,X20)
& '$accessible_world'(X1,X27) )
| sP10(X23,X1)
| sP9(X1,X23)
| sP8(X20,X1)
| sP7(X1,X23)
| sP6(X21,X1)
| sP5(X1,X22)
| sP4(X21,X1)
| sP3(X1,X23,X22)
| sP2(X1,X20)
| sP1(X23,X1)
| sP0(X20,X1) )
| ~ sP12(X1) ),
inference(nnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X1: '$world'] :
( ! [X22,X23,X20,X21] :
( ? [X28: '$world'] :
( '$accessible_world'(X1,X28)
& ~ chevy(X28,X23) )
| ? [X34: '$world'] :
( '$accessible_world'(X1,X34)
& ~ in(X34,X22,X21) )
| ? [X27: '$world'] :
( ~ down(X27,X22,X20)
& '$accessible_world'(X1,X27) )
| sP10(X23,X1)
| sP9(X1,X23)
| sP8(X20,X1)
| sP7(X1,X23)
| sP6(X21,X1)
| sP5(X1,X22)
| sP4(X21,X1)
| sP3(X1,X23,X22)
| sP2(X1,X20)
| sP1(X23,X1)
| sP0(X20,X1) )
| ~ sP12(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
tff(f654,plain,
( sP12(sK27(sK64))
| ~ spl99_2 ),
inference(resolution,[],[f318,f153]) ).
tff(f153,plain,
! [X0: '$world'] :
( ~ sP26(X0)
| sP12(sK27(X0)) ),
inference(cnf_transformation,[],[f37]) ).
tff(f804,plain,
( sP89(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_51 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f1075,plain,
( spl99_62
| spl99_7
| ~ spl99_2
| spl99_5
| ~ spl99_54 ),
inference(avatar_split_clause,[],[f1074,f817,f413,f316,f421,f929]) ).
tff(f929,plain,
( spl99_62
<=> ! [X1] :
( sP6(X1,sK27(sK64))
| sP4(X1,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_62])]) ).
tff(f817,plain,
( spl99_54
<=> sP85(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_54])]) ).
tff(f1074,plain,
( ! [X0: $i,X1: $i] :
( sP0(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X0))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X1))
| sP8(X0,sK27(sK64))
| sP4(X1,sK27(sK64))
| sP2(sK27(sK64),X0)
| sP6(X1,sK27(sK64)) )
| ~ spl99_2
| spl99_5
| ~ spl99_54 ),
inference(subsumption_resolution,[],[f1073,f414]) ).
tff(f1073,plain,
( ! [X0: $i,X1: $i] :
( sP8(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X1))
| sP6(X1,sK27(sK64))
| sP2(sK27(sK64),X0)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X0))
| sP5(sK27(sK64),sK49(sK27(sK64)))
| sP0(X0,sK27(sK64))
| sP4(X1,sK27(sK64)) )
| ~ spl99_2
| ~ spl99_54 ),
inference(resolution,[],[f819,f718]) ).
tff(f718,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ sP85(sK27(sK64),X0)
| sP8(X2,sK27(sK64))
| sP2(sK27(sK64),X2)
| sP5(sK27(sK64),X0)
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),X0,X1))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),X0,X2))
| sP4(X1,sK27(sK64))
| sP0(X2,sK27(sK64))
| sP6(X1,sK27(sK64)) )
| ~ spl99_2 ),
inference(resolution,[],[f657,f285]) ).
tff(f285,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP86(X0,X1)
| sP2(X0,X3)
| sP0(X3,X0)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0) ),
inference(cnf_transformation,[],[f285_D]) ).
tff(f285_D,plain,
! [X1,X0] :
( ! [X3] :
( sP2(X0,X3)
| sP0(X3,X0)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0) )
<=> ~ sP86(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP86])]) ).
tff(f657,plain,
( ! [X2: $i,X3: $i] :
( ~ sP86(sK27(sK64),X2)
| sP5(sK27(sK64),X2)
| ~ sP85(sK27(sK64),X2)
| sP4(X3,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),X2,X3))
| sP6(X3,sK27(sK64)) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f286]) ).
tff(f286,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| ~ sP86(X0,X1)
| sP4(X4,X0)
| '$accessible_world'(X0,sK47(X0,X1,X4))
| sP6(X4,X0)
| sP5(X0,X1)
| ~ sP85(X0,X1) ),
inference(general_splitting,[],[f284,f285_D]) ).
tff(f284,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK47(X0,X1,X4))
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP85(X0,X1) ),
inference(general_splitting,[],[f205,f283_D]) ).
tff(f283,plain,
! [X2: $i,X0: '$world',X1: $i] :
( sP3(X0,X2,X1)
| '$accessible_world'(X0,sK46(X0,X2))
| sP1(X2,X0)
| sP7(X0,X2)
| sP85(X0,X1)
| sP10(X2,X0)
| sP9(X0,X2) ),
inference(cnf_transformation,[],[f283_D]) ).
tff(f283_D,plain,
! [X1,X0] :
( ! [X2] :
( sP3(X0,X2,X1)
| '$accessible_world'(X0,sK46(X0,X2))
| sP1(X2,X0)
| sP7(X0,X2)
| sP10(X2,X0)
| sP9(X0,X2) )
<=> ~ sP85(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP85])]) ).
tff(f205,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK46(X0,X2))
| '$accessible_world'(X0,sK47(X0,X1,X4))
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f819,plain,
( sP85(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_54 ),
inference(avatar_component_clause,[],[f817]) ).
tff(f1071,plain,
( spl99_62
| ~ spl99_2
| spl99_5
| ~ spl99_15
| spl99_45
| ~ spl99_58 ),
inference(avatar_split_clause,[],[f1070,f842,f772,f481,f413,f316,f929]) ).
tff(f842,plain,
( spl99_58
<=> ! [X0] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X0)
| sP91(sK27(sK64),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_58])]) ).
tff(f1070,plain,
( ! [X0: $i] :
( '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X0))
| sP4(X0,sK27(sK64))
| sP6(X0,sK27(sK64)) )
| ~ spl99_2
| spl99_5
| ~ spl99_15
| spl99_45
| ~ spl99_58 ),
inference(subsumption_resolution,[],[f1069,f932]) ).
tff(f932,plain,
( sP91(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| ~ spl99_58 ),
inference(resolution,[],[f843,f774]) ).
tff(f843,plain,
( ! [X0: $i] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X0)
| sP91(sK27(sK64),X0) )
| ~ spl99_58 ),
inference(avatar_component_clause,[],[f842]) ).
tff(f1069,plain,
( ! [X0: $i] :
( sP4(X0,sK27(sK64))
| ~ sP91(sK27(sK64),sK49(sK27(sK64)))
| sP6(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X0)) )
| ~ spl99_2
| spl99_5
| ~ spl99_15 ),
inference(subsumption_resolution,[],[f1032,f414]) ).
tff(f1032,plain,
( ! [X0: $i] :
( sP6(X0,sK27(sK64))
| sP4(X0,sK27(sK64))
| sP5(sK27(sK64),sK49(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X0))
| ~ sP91(sK27(sK64),sK49(sK27(sK64))) )
| ~ spl99_2
| ~ spl99_15 ),
inference(resolution,[],[f483,f660]) ).
tff(f660,plain,
( ! [X8: $i,X9: $i] :
( ~ sP92(sK27(sK64),X8)
| sP5(sK27(sK64),X8)
| sP6(X9,sK27(sK64))
| sP4(X9,sK27(sK64))
| ~ sP91(sK27(sK64),X8)
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),X8,X9)) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f298]) ).
tff(f298,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| '$accessible_world'(X0,sK47(X0,X1,X4))
| ~ sP92(X0,X1)
| sP6(X4,X0)
| ~ sP91(X0,X1)
| sP4(X4,X0)
| sP5(X0,X1) ),
inference(general_splitting,[],[f296,f297_D]) ).
tff(f296,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK47(X0,X1,X4))
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP91(X0,X1) ),
inference(general_splitting,[],[f202,f295_D]) ).
tff(f295,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ chevy(sK46(X0,X2),X2)
| sP91(X0,X1)
| sP1(X2,X0)
| sP7(X0,X2)
| sP9(X0,X2)
| sP3(X0,X2,X1)
| sP10(X2,X0) ),
inference(cnf_transformation,[],[f295_D]) ).
tff(f295_D,plain,
! [X1,X0] :
( ! [X2] :
( ~ chevy(sK46(X0,X2),X2)
| sP1(X2,X0)
| sP7(X0,X2)
| sP9(X0,X2)
| sP3(X0,X2,X1)
| sP10(X2,X0) )
<=> ~ sP91(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP91])]) ).
tff(f202,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ chevy(sK46(X0,X2),X2)
| '$accessible_world'(X0,sK47(X0,X1,X4))
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f483,plain,
( sP92(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_15 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f1068,plain,
( ~ spl99_53
| spl99_62
| ~ spl99_2
| spl99_5
| ~ spl99_16 ),
inference(avatar_split_clause,[],[f1067,f489,f413,f316,f929,f812]) ).
tff(f1067,plain,
( ! [X0: $i] :
( sP4(X0,sK27(sK64))
| sP6(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X0))
| ~ sP83(sK27(sK64),sK49(sK27(sK64))) )
| ~ spl99_2
| spl99_5
| ~ spl99_16 ),
inference(subsumption_resolution,[],[f1033,f414]) ).
tff(f1033,plain,
( ! [X0: $i] :
( ~ sP83(sK27(sK64),sK49(sK27(sK64)))
| sP4(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X0))
| sP6(X0,sK27(sK64))
| sP5(sK27(sK64),sK49(sK27(sK64))) )
| ~ spl99_2
| ~ spl99_16 ),
inference(resolution,[],[f491,f656]) ).
tff(f656,plain,
( ! [X0: $i,X1: $i] :
( ~ sP84(sK27(sK64),X0)
| ~ sP83(sK27(sK64),X0)
| sP4(X1,sK27(sK64))
| sP5(sK27(sK64),X0)
| sP6(X1,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),X0,X1)) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f282]) ).
tff(f282,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| ~ sP84(X0,X1)
| sP4(X4,X0)
| '$accessible_world'(X0,sK47(X0,X1,X4))
| sP6(X4,X0)
| ~ sP83(X0,X1)
| sP5(X0,X1) ),
inference(general_splitting,[],[f280,f281_D]) ).
tff(f280,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK47(X0,X1,X4))
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP83(X0,X1) ),
inference(general_splitting,[],[f206,f279_D]) ).
tff(f206,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK46(X0,X2))
| '$accessible_world'(X0,sK47(X0,X1,X4))
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f491,plain,
( sP84(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_16 ),
inference(avatar_component_clause,[],[f489]) ).
tff(f1066,plain,
( spl99_11
| ~ spl99_68 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
tff(f1065,plain,
( $false
| spl99_11
| ~ spl99_68 ),
inference(subsumption_resolution,[],[f1064,f458]) ).
tff(f458,plain,
( ~ '$accessible_world'(sK27(sK64),sK63(sK52(sK27(sK64)),sK27(sK64)))
| spl99_11 ),
inference(avatar_component_clause,[],[f457]) ).
tff(f457,plain,
( spl99_11
<=> '$accessible_world'(sK27(sK64),sK63(sK52(sK27(sK64)),sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_11])]) ).
tff(f1064,plain,
( '$accessible_world'(sK27(sK64),sK63(sK52(sK27(sK64)),sK27(sK64)))
| ~ spl99_68 ),
inference(resolution,[],[f1057,f241]) ).
tff(f241,plain,
! [X0: $i,X1: '$world'] :
( ~ sP0(X0,X1)
| '$accessible_world'(X1,sK63(X0,X1)) ),
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0,X1: '$world'] :
( ( ~ way(sK63(X0,X1),X0)
& '$accessible_world'(X1,sK63(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f143,f144]) ).
tff(f144,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ way(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ way(sK63(X0,X1),X0)
& '$accessible_world'(X1,sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f143,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ way(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f142]) ).
tff(f142,plain,
! [X20,X1: '$world'] :
( ? [X30: '$world'] :
( ~ way(X30,X20)
& '$accessible_world'(X1,X30) )
| ~ sP0(X20,X1) ),
inference(nnf_transformation,[],[f7]) ).
tff(f7,plain,
! [X20,X1: '$world'] :
( ? [X30: '$world'] :
( ~ way(X30,X20)
& '$accessible_world'(X1,X30) )
| ~ sP0(X20,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f1057,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_68 ),
inference(avatar_component_clause,[],[f1055]) ).
tff(f1058,plain,
( spl99_68
| spl99_65
| ~ spl99_7
| spl99_66
| spl99_67 ),
inference(avatar_split_clause,[],[f1053,f977,f973,f421,f963,f1055]) ).
tff(f1053,plain,
( '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_7
| spl99_66
| spl99_67 ),
inference(subsumption_resolution,[],[f1048,f974]) ).
tff(f1048,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_7
| spl99_67 ),
inference(resolution,[],[f978,f422]) ).
tff(f422,plain,
( ! [X1: $i] :
( sP8(X1,sK27(sK64))
| sP2(sK27(sK64),X1)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X1))
| sP0(X1,sK27(sK64)) )
| ~ spl99_7 ),
inference(avatar_component_clause,[],[f421]) ).
tff(f1052,plain,
( ~ spl99_2
| spl99_11
| spl99_12
| ~ spl99_65
| spl99_66
| spl99_67 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
tff(f1051,plain,
( $false
| ~ spl99_2
| spl99_11
| spl99_12
| ~ spl99_65
| spl99_66
| spl99_67 ),
inference(subsumption_resolution,[],[f1050,f458]) ).
tff(f1050,plain,
( '$accessible_world'(sK27(sK64),sK63(sK52(sK27(sK64)),sK27(sK64)))
| ~ spl99_2
| spl99_12
| ~ spl99_65
| spl99_66
| spl99_67 ),
inference(resolution,[],[f1044,f241]) ).
tff(f1044,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| spl99_12
| ~ spl99_65
| spl99_66
| spl99_67 ),
inference(subsumption_resolution,[],[f1043,f974]) ).
tff(f1043,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| spl99_12
| ~ spl99_65
| spl99_67 ),
inference(subsumption_resolution,[],[f1042,f462]) ).
tff(f462,plain,
( ~ sP96(sK27(sK64),sK49(sK27(sK64)))
| spl99_12 ),
inference(avatar_component_clause,[],[f461]) ).
tff(f461,plain,
( spl99_12
<=> sP96(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_12])]) ).
tff(f1042,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP96(sK27(sK64),sK49(sK27(sK64)))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65
| spl99_67 ),
inference(subsumption_resolution,[],[f1041,f978]) ).
tff(f1041,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| sP96(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f711]) ).
tff(f711,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK48(X0,sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP2(X0,sK52(sK27(sK64)))
| sP8(sK52(sK27(sK64)),X0)
| sP0(sK52(sK27(sK64)),X0)
| sP96(X0,sK49(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f676,f305]) ).
tff(f305,plain,
! [X3: $i,X0: '$world',X1: $i] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP2(X0,X3)
| sP0(X3,X0)
| sP96(X0,X1)
| sP8(X3,X0) ),
inference(cnf_transformation,[],[f305_D]) ).
tff(f305_D,plain,
! [X1,X0] :
( ! [X3] :
( ~ down(sK48(X0,X1,X3),X1,X3)
| sP2(X0,X3)
| sP0(X3,X0)
| sP8(X3,X0) )
<=> ~ sP96(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP96])]) ).
tff(f1036,plain,
( ~ spl99_2
| ~ spl99_13
| ~ spl99_66 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
tff(f1035,plain,
( $false
| ~ spl99_2
| ~ spl99_13
| ~ spl99_66 ),
inference(subsumption_resolution,[],[f1034,f975]) ).
tff(f975,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_66 ),
inference(avatar_component_clause,[],[f973]) ).
tff(f1034,plain,
( ~ sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_13 ),
inference(resolution,[],[f467,f683]) ).
tff(f683,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK61(X1,sK52(sK27(sK64))))
| ~ sP2(X1,sK52(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f666,f237]) ).
tff(f237,plain,
! [X0: '$world',X1: $i] :
( ~ lonely(sK61(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK61(X0,X1))
& ~ lonely(sK61(X0,X1),X1) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f135,f136]) ).
tff(f136,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ lonely(X2,X1) )
=> ( '$accessible_world'(X0,sK61(X0,X1))
& ~ lonely(sK61(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f135,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ lonely(X2,X1) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f134]) ).
tff(f134,plain,
! [X1: '$world',X20] :
( ? [X37: '$world'] :
( '$accessible_world'(X1,X37)
& ~ lonely(X37,X20) )
| ~ sP2(X1,X20) ),
inference(nnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X1: '$world',X20] :
( ? [X37: '$world'] :
( '$accessible_world'(X1,X37)
& ~ lonely(X37,X20) )
| ~ sP2(X1,X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f666,plain,
( ! [X2: '$world'] :
( lonely(X2,sK52(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X2) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f209]) ).
tff(f209,plain,
! [X0: '$world',X16: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X16)
| lonely(X16,sK52(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f467,plain,
( '$accessible_world'(sK27(sK64),sK61(sK27(sK64),sK52(sK27(sK64))))
| ~ spl99_13 ),
inference(avatar_component_clause,[],[f465]) ).
tff(f465,plain,
( spl99_13
<=> '$accessible_world'(sK27(sK64),sK61(sK27(sK64),sK52(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_13])]) ).
tff(f1031,plain,
( ~ spl99_52
| spl99_63
| ~ spl99_2
| spl99_5
| ~ spl99_14 ),
inference(avatar_split_clause,[],[f1030,f473,f413,f316,f942,f807]) ).
tff(f807,plain,
( spl99_52
<=> sP87(sK27(sK64),sK49(sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_52])]) ).
tff(f1030,plain,
( ! [X0: $i] :
( sP6(X0,sK27(sK64))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| ~ sP87(sK27(sK64),sK49(sK27(sK64)))
| sP4(X0,sK27(sK64)) )
| ~ spl99_2
| spl99_5
| ~ spl99_14 ),
inference(subsumption_resolution,[],[f1029,f414]) ).
tff(f1029,plain,
( ! [X0: $i] :
( sP5(sK27(sK64),sK49(sK27(sK64)))
| sP4(X0,sK27(sK64))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| sP6(X0,sK27(sK64))
| ~ sP87(sK27(sK64),sK49(sK27(sK64))) )
| ~ spl99_2
| ~ spl99_14 ),
inference(resolution,[],[f475,f658]) ).
tff(f658,plain,
( ! [X4: $i,X5: $i] :
( ~ sP88(sK27(sK64),X4)
| sP5(sK27(sK64),X4)
| sP4(X5,sK27(sK64))
| ~ sP87(sK27(sK64),X4)
| sP6(X5,sK27(sK64))
| ~ in(sK47(sK27(sK64),X4,X5),X4,X5) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f290]) ).
tff(f290,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| ~ in(sK47(X0,X1,X4),X1,X4)
| ~ sP88(X0,X1)
| ~ sP87(X0,X1)
| sP5(X0,X1)
| sP4(X4,X0)
| sP6(X4,X0) ),
inference(general_splitting,[],[f288,f289_D]) ).
tff(f288,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ in(sK47(X0,X1,X4),X1,X4)
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP87(X0,X1) ),
inference(general_splitting,[],[f204,f287_D]) ).
tff(f287,plain,
! [X2: $i,X0: '$world',X1: $i] :
( sP3(X0,X2,X1)
| sP1(X2,X0)
| sP7(X0,X2)
| '$accessible_world'(X0,sK46(X0,X2))
| sP10(X2,X0)
| sP87(X0,X1)
| sP9(X0,X2) ),
inference(cnf_transformation,[],[f287_D]) ).
tff(f287_D,plain,
! [X1,X0] :
( ! [X2] :
( sP3(X0,X2,X1)
| sP1(X2,X0)
| sP7(X0,X2)
| '$accessible_world'(X0,sK46(X0,X2))
| sP10(X2,X0)
| sP9(X0,X2) )
<=> ~ sP87(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP87])]) ).
tff(f204,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK46(X0,X2))
| ~ in(sK47(X0,X1,X4),X1,X4)
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f475,plain,
( sP88(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_14 ),
inference(avatar_component_clause,[],[f473]) ).
tff(f1022,plain,
( spl99_63
| ~ spl99_2
| spl99_5
| ~ spl99_12
| spl99_45
| ~ spl99_56 ),
inference(avatar_split_clause,[],[f1021,f834,f772,f461,f413,f316,f942]) ).
tff(f834,plain,
( spl99_56
<=> ! [X2] :
( sP95(sK27(sK64),X2)
| sP3(sK27(sK64),sK51(sK27(sK64)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_56])]) ).
tff(f1021,plain,
( ! [X0: $i] :
( sP6(X0,sK27(sK64))
| sP4(X0,sK27(sK64))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0) )
| ~ spl99_2
| spl99_5
| ~ spl99_12
| spl99_45
| ~ spl99_56 ),
inference(subsumption_resolution,[],[f1020,f922]) ).
tff(f922,plain,
( sP95(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| ~ spl99_56 ),
inference(resolution,[],[f835,f774]) ).
tff(f835,plain,
( ! [X2: $i] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X2)
| sP95(sK27(sK64),X2) )
| ~ spl99_56 ),
inference(avatar_component_clause,[],[f834]) ).
tff(f1020,plain,
( ! [X0: $i] :
( sP6(X0,sK27(sK64))
| sP4(X0,sK27(sK64))
| ~ sP95(sK27(sK64),sK49(sK27(sK64)))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0) )
| ~ spl99_2
| spl99_5
| ~ spl99_12 ),
inference(subsumption_resolution,[],[f1019,f414]) ).
tff(f1019,plain,
( ! [X0: $i] :
( sP5(sK27(sK64),sK49(sK27(sK64)))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| sP6(X0,sK27(sK64))
| sP4(X0,sK27(sK64))
| ~ sP95(sK27(sK64),sK49(sK27(sK64))) )
| ~ spl99_2
| ~ spl99_12 ),
inference(resolution,[],[f463,f662]) ).
tff(f662,plain,
( ! [X12: $i,X13: $i] :
( ~ sP96(sK27(sK64),X12)
| sP5(sK27(sK64),X12)
| sP6(X13,sK27(sK64))
| ~ in(sK47(sK27(sK64),X12,X13),X12,X13)
| sP4(X13,sK27(sK64))
| ~ sP95(sK27(sK64),X12) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f306]) ).
tff(f306,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| ~ sP96(X0,X1)
| ~ in(sK47(X0,X1,X4),X1,X4)
| sP4(X4,X0)
| sP6(X4,X0)
| ~ sP95(X0,X1)
| sP5(X0,X1) ),
inference(general_splitting,[],[f304,f305_D]) ).
tff(f304,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ in(sK47(X0,X1,X4),X1,X4)
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP95(X0,X1) ),
inference(general_splitting,[],[f200,f303_D]) ).
tff(f303,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ chevy(sK46(X0,X2),X2)
| sP10(X2,X0)
| sP1(X2,X0)
| sP3(X0,X2,X1)
| sP95(X0,X1)
| sP9(X0,X2)
| sP7(X0,X2) ),
inference(cnf_transformation,[],[f303_D]) ).
tff(f303_D,plain,
! [X1,X0] :
( ! [X2] :
( ~ chevy(sK46(X0,X2),X2)
| sP10(X2,X0)
| sP1(X2,X0)
| sP3(X0,X2,X1)
| sP9(X0,X2)
| sP7(X0,X2) )
<=> ~ sP95(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP95])]) ).
tff(f200,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ chevy(sK46(X0,X2),X2)
| ~ in(sK47(X0,X1,X4),X1,X4)
| ~ down(sK48(X0,X1,X3),X1,X3)
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f463,plain,
( sP96(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_12 ),
inference(avatar_component_clause,[],[f461]) ).
tff(f1014,plain,
( ~ spl99_2
| ~ spl99_8 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
tff(f1013,plain,
( $false
| ~ spl99_2
| ~ spl99_8 ),
inference(subsumption_resolution,[],[f1012,f426]) ).
tff(f426,plain,
( sP4(sK50(sK27(sK64)),sK27(sK64))
| ~ spl99_8 ),
inference(avatar_component_clause,[],[f424]) ).
tff(f424,plain,
( spl99_8
<=> sP4(sK50(sK27(sK64)),sK27(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_8])]) ).
tff(f1012,plain,
( ~ sP4(sK50(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_8 ),
inference(resolution,[],[f1011,f689]) ).
tff(f689,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK59(sK50(sK27(sK64)),X1))
| ~ sP4(sK50(sK27(sK64)),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f670,f234]) ).
tff(f234,plain,
! [X0: $i,X1: '$world'] :
( ~ hollywood(sK59(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
tff(f129,plain,
! [X0,X1: '$world'] :
( ( ~ hollywood(sK59(X0,X1),X0)
& '$accessible_world'(X1,sK59(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f127,f128]) ).
tff(f128,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ hollywood(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ hollywood(sK59(X0,X1),X0)
& '$accessible_world'(X1,sK59(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f127,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ hollywood(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f126]) ).
tff(f126,plain,
! [X21,X1: '$world'] :
( ? [X25: '$world'] :
( ~ hollywood(X25,X21)
& '$accessible_world'(X1,X25) )
| ~ sP4(X21,X1) ),
inference(nnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X21,X1: '$world'] :
( ? [X25: '$world'] :
( ~ hollywood(X25,X21)
& '$accessible_world'(X1,X25) )
| ~ sP4(X21,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
tff(f670,plain,
( ! [X6: '$world'] :
( hollywood(X6,sK50(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X6) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f213]) ).
tff(f213,plain,
! [X0: '$world',X12: '$world'] :
( ~ sP11(X0)
| hollywood(X12,sK50(X0))
| ~ '$accessible_world'(X0,X12) ),
inference(cnf_transformation,[],[f101]) ).
tff(f1011,plain,
( '$accessible_world'(sK27(sK64),sK59(sK50(sK27(sK64)),sK27(sK64)))
| ~ spl99_8 ),
inference(resolution,[],[f426,f233]) ).
tff(f233,plain,
! [X0: $i,X1: '$world'] :
( ~ sP4(X0,X1)
| '$accessible_world'(X1,sK59(X0,X1)) ),
inference(cnf_transformation,[],[f129]) ).
tff(f1010,plain,
( ~ spl99_67
| ~ spl99_2
| ~ spl99_10 ),
inference(avatar_split_clause,[],[f995,f453,f316,f977]) ).
tff(f453,plain,
( spl99_10
<=> '$accessible_world'(sK27(sK64),sK55(sK52(sK27(sK64)),sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_10])]) ).
tff(f995,plain,
( ~ sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_10 ),
inference(resolution,[],[f455,f687]) ).
tff(f687,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK55(sK52(sK27(sK64)),X1))
| ~ sP8(sK52(sK27(sK64)),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f669,f226]) ).
tff(f226,plain,
! [X0: $i,X1: '$world'] :
( ~ street(sK55(X0,X1),X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0,X1: '$world'] :
( ( ~ street(sK55(X0,X1),X0)
& '$accessible_world'(X1,sK55(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f111,f112]) ).
tff(f112,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ street(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ street(sK55(X0,X1),X0)
& '$accessible_world'(X1,sK55(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f111,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ street(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f110]) ).
tff(f110,plain,
! [X20,X1: '$world'] :
( ? [X29: '$world'] :
( ~ street(X29,X20)
& '$accessible_world'(X1,X29) )
| ~ sP8(X20,X1) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X20,X1: '$world'] :
( ? [X29: '$world'] :
( ~ street(X29,X20)
& '$accessible_world'(X1,X29) )
| ~ sP8(X20,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
tff(f669,plain,
( ! [X5: '$world'] :
( street(X5,sK52(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X5) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f212]) ).
tff(f212,plain,
! [X0: '$world',X13: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X13)
| street(X13,sK52(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f455,plain,
( '$accessible_world'(sK27(sK64),sK55(sK52(sK27(sK64)),sK27(sK64)))
| ~ spl99_10 ),
inference(avatar_component_clause,[],[f453]) ).
tff(f1005,plain,
( ~ spl99_2
| ~ spl99_7
| ~ spl99_11
| spl99_65
| spl99_66
| spl99_67 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
tff(f1004,plain,
( $false
| ~ spl99_2
| ~ spl99_7
| ~ spl99_11
| spl99_65
| spl99_66
| spl99_67 ),
inference(subsumption_resolution,[],[f1003,f974]) ).
tff(f1003,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_7
| ~ spl99_11
| spl99_65
| spl99_67 ),
inference(subsumption_resolution,[],[f1002,f954]) ).
tff(f954,plain,
( ~ sP0(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_11 ),
inference(resolution,[],[f459,f704]) ).
tff(f704,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK63(sK52(sK27(sK64)),X0))
| ~ sP0(sK52(sK27(sK64)),X0) )
| ~ spl99_2 ),
inference(resolution,[],[f675,f242]) ).
tff(f242,plain,
! [X0: $i,X1: '$world'] :
( ~ way(sK63(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
tff(f675,plain,
( ! [X11: '$world'] :
( way(X11,sK52(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X11) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f218]) ).
tff(f218,plain,
! [X0: '$world',X7: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X7)
| way(X7,sK52(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f459,plain,
( '$accessible_world'(sK27(sK64),sK63(sK52(sK27(sK64)),sK27(sK64)))
| ~ spl99_11 ),
inference(avatar_component_clause,[],[f457]) ).
tff(f1002,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_7
| spl99_65
| spl99_67 ),
inference(subsumption_resolution,[],[f1000,f964]) ).
tff(f964,plain,
( ~ '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),sK52(sK27(sK64))))
| spl99_65 ),
inference(avatar_component_clause,[],[f963]) ).
tff(f1000,plain,
( '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),sK52(sK27(sK64))))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_7
| spl99_67 ),
inference(resolution,[],[f978,f422]) ).
tff(f994,plain,
( spl99_13
| ~ spl99_66 ),
inference(avatar_split_clause,[],[f993,f973,f465]) ).
tff(f993,plain,
( '$accessible_world'(sK27(sK64),sK61(sK27(sK64),sK52(sK27(sK64))))
| ~ spl99_66 ),
inference(resolution,[],[f975,f238]) ).
tff(f238,plain,
! [X0: '$world',X1: $i] :
( ~ sP2(X0,X1)
| '$accessible_world'(X0,sK61(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
tff(f992,plain,
( spl99_10
| ~ spl99_67 ),
inference(avatar_split_clause,[],[f991,f977,f453]) ).
tff(f991,plain,
( '$accessible_world'(sK27(sK64),sK55(sK52(sK27(sK64)),sK27(sK64)))
| ~ spl99_67 ),
inference(resolution,[],[f979,f225]) ).
tff(f225,plain,
! [X0: $i,X1: '$world'] :
( ~ sP8(X0,X1)
| '$accessible_world'(X1,sK55(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
tff(f979,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_67 ),
inference(avatar_component_clause,[],[f977]) ).
tff(f986,plain,
( spl99_66
| spl99_67
| spl99_16
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(avatar_split_clause,[],[f985,f963,f457,f316,f489,f977,f973]) ).
tff(f985,plain,
( sP84(sK27(sK64),sK49(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(subsumption_resolution,[],[f967,f954]) ).
tff(f967,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP84(sK27(sK64),sK49(sK27(sK64)))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f714]) ).
tff(f984,plain,
( spl99_15
| spl99_67
| spl99_66
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(avatar_split_clause,[],[f983,f963,f457,f316,f973,f977,f481]) ).
tff(f983,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP92(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(subsumption_resolution,[],[f969,f954]) ).
tff(f969,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP92(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f712]) ).
tff(f982,plain,
( spl99_67
| spl99_14
| spl99_66
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(avatar_split_clause,[],[f981,f963,f457,f316,f973,f473,f977]) ).
tff(f981,plain,
( sP2(sK27(sK64),sK52(sK27(sK64)))
| sP88(sK27(sK64),sK49(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(subsumption_resolution,[],[f968,f954]) ).
tff(f968,plain,
( sP8(sK52(sK27(sK64)),sK27(sK64))
| sP88(sK27(sK64),sK49(sK27(sK64)))
| sP0(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f713]) ).
tff(f980,plain,
( spl99_66
| spl99_67
| spl99_12
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(avatar_split_clause,[],[f971,f963,f457,f316,f461,f977,f973]) ).
tff(f971,plain,
( sP96(sK27(sK64),sK49(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| ~ spl99_2
| ~ spl99_11
| ~ spl99_65 ),
inference(subsumption_resolution,[],[f970,f954]) ).
tff(f970,plain,
( sP0(sK52(sK27(sK64)),sK27(sK64))
| sP96(sK27(sK64),sK49(sK27(sK64)))
| sP2(sK27(sK64),sK52(sK27(sK64)))
| sP8(sK52(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_65 ),
inference(resolution,[],[f965,f711]) ).
tff(f957,plain,
( spl99_8
| ~ spl99_64
| ~ spl99_2
| spl99_6
| ~ spl99_63 ),
inference(avatar_split_clause,[],[f956,f942,f417,f316,f950,f424]) ).
tff(f950,plain,
( spl99_64
<=> '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),sK50(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_64])]) ).
tff(f417,plain,
( spl99_6
<=> sP6(sK50(sK27(sK64)),sK27(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_6])]) ).
tff(f956,plain,
( ~ '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),sK50(sK27(sK64))))
| sP4(sK50(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| spl99_6
| ~ spl99_63 ),
inference(subsumption_resolution,[],[f955,f418]) ).
tff(f418,plain,
( ~ sP6(sK50(sK27(sK64)),sK27(sK64))
| spl99_6 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f955,plain,
( sP6(sK50(sK27(sK64)),sK27(sK64))
| ~ '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),sK50(sK27(sK64))))
| sP4(sK50(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_63 ),
inference(resolution,[],[f943,f677]) ).
tff(f677,plain,
( ! [X13: '$world'] :
( in(X13,sK49(sK27(sK64)),sK50(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X13) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f220]) ).
tff(f220,plain,
! [X0: '$world',X5: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X5)
| in(X5,sK49(X0),sK50(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f943,plain,
( ! [X0: $i] :
( ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| sP4(X0,sK27(sK64))
| sP6(X0,sK27(sK64)) )
| ~ spl99_63 ),
inference(avatar_component_clause,[],[f942]) ).
tff(f953,plain,
( spl99_64
| spl99_8
| spl99_6
| ~ spl99_62 ),
inference(avatar_split_clause,[],[f948,f929,f417,f424,f950]) ).
tff(f948,plain,
( sP4(sK50(sK27(sK64)),sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),sK50(sK27(sK64))))
| spl99_6
| ~ spl99_62 ),
inference(resolution,[],[f930,f418]) ).
tff(f930,plain,
( ! [X1: $i] :
( sP6(X1,sK27(sK64))
| sP4(X1,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X1)) )
| ~ spl99_62 ),
inference(avatar_component_clause,[],[f929]) ).
tff(f944,plain,
( spl99_63
| spl99_7
| ~ spl99_2
| spl99_5
| spl99_45
| ~ spl99_59 ),
inference(avatar_split_clause,[],[f940,f846,f772,f413,f316,f421,f942]) ).
tff(f846,plain,
( spl99_59
<=> ! [X3] :
( sP97(sK27(sK64),X3)
| sP3(sK27(sK64),sK51(sK27(sK64)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_59])]) ).
tff(f940,plain,
( ! [X0: $i,X1: $i] :
( sP2(sK27(sK64),X1)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X1))
| sP4(X0,sK27(sK64))
| sP6(X0,sK27(sK64))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| sP0(X1,sK27(sK64))
| sP8(X1,sK27(sK64)) )
| ~ spl99_2
| spl99_5
| spl99_45
| ~ spl99_59 ),
inference(subsumption_resolution,[],[f939,f414]) ).
tff(f939,plain,
( ! [X0: $i,X1: $i] :
( sP4(X0,sK27(sK64))
| sP0(X1,sK27(sK64))
| sP5(sK27(sK64),sK49(sK27(sK64)))
| ~ in(sK47(sK27(sK64),sK49(sK27(sK64)),X0),sK49(sK27(sK64)),X0)
| sP2(sK27(sK64),X1)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X1))
| sP8(X1,sK27(sK64))
| sP6(X0,sK27(sK64)) )
| ~ spl99_2
| spl99_45
| ~ spl99_59 ),
inference(resolution,[],[f934,f721]) ).
tff(f721,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ sP97(sK27(sK64),X1)
| ~ in(sK47(sK27(sK64),X1,X0),X1,X0)
| sP6(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),X1,X2))
| sP8(X2,sK27(sK64))
| sP0(X2,sK27(sK64))
| sP2(sK27(sK64),X2)
| sP4(X0,sK27(sK64))
| sP5(sK27(sK64),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f663,f309]) ).
tff(f309,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP98(X0,X1)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0)
| sP0(X3,X0)
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f309_D]) ).
tff(f309_D,plain,
! [X1,X0] :
( ! [X3] :
( '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0)
| sP0(X3,X0)
| sP2(X0,X3) )
<=> ~ sP98(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP98])]) ).
tff(f663,plain,
( ! [X14: $i,X15: $i] :
( ~ sP98(sK27(sK64),X15)
| sP6(X14,sK27(sK64))
| ~ sP97(sK27(sK64),X15)
| sP4(X14,sK27(sK64))
| sP5(sK27(sK64),X15)
| ~ in(sK47(sK27(sK64),X15,X14),X15,X14) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f310]) ).
tff(f310,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| sP6(X4,X0)
| sP4(X4,X0)
| ~ sP97(X0,X1)
| sP5(X0,X1)
| ~ sP98(X0,X1)
| ~ in(sK47(X0,X1,X4),X1,X4) ),
inference(general_splitting,[],[f308,f309_D]) ).
tff(f308,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ in(sK47(X0,X1,X4),X1,X4)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP97(X0,X1) ),
inference(general_splitting,[],[f199,f307_D]) ).
tff(f307,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ chevy(sK46(X0,X2),X2)
| sP1(X2,X0)
| sP9(X0,X2)
| sP3(X0,X2,X1)
| sP7(X0,X2)
| sP10(X2,X0)
| sP97(X0,X1) ),
inference(cnf_transformation,[],[f307_D]) ).
tff(f307_D,plain,
! [X1,X0] :
( ! [X2] :
( ~ chevy(sK46(X0,X2),X2)
| sP1(X2,X0)
| sP9(X0,X2)
| sP3(X0,X2,X1)
| sP7(X0,X2)
| sP10(X2,X0) )
<=> ~ sP97(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP97])]) ).
tff(f199,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ chevy(sK46(X0,X2),X2)
| ~ in(sK47(X0,X1,X4),X1,X4)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f934,plain,
( sP97(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| ~ spl99_59 ),
inference(resolution,[],[f847,f774]) ).
tff(f847,plain,
( ! [X3: $i] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X3)
| sP97(sK27(sK64),X3) )
| ~ spl99_59 ),
inference(avatar_component_clause,[],[f846]) ).
tff(f931,plain,
( spl99_62
| spl99_7
| ~ spl99_2
| spl99_5
| spl99_45
| ~ spl99_57 ),
inference(avatar_split_clause,[],[f927,f838,f772,f413,f316,f421,f929]) ).
tff(f838,plain,
( spl99_57
<=> ! [X1] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X1)
| sP93(sK27(sK64),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_57])]) ).
tff(f927,plain,
( ! [X0: $i,X1: $i] :
( sP0(X0,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X0))
| sP6(X1,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X1))
| sP8(X0,sK27(sK64))
| sP2(sK27(sK64),X0)
| sP4(X1,sK27(sK64)) )
| ~ spl99_2
| spl99_5
| spl99_45
| ~ spl99_57 ),
inference(subsumption_resolution,[],[f926,f414]) ).
tff(f926,plain,
( ! [X0: $i,X1: $i] :
( sP4(X1,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),sK49(sK27(sK64)),X1))
| sP2(sK27(sK64),X0)
| sP8(X0,sK27(sK64))
| sP5(sK27(sK64),sK49(sK27(sK64)))
| sP6(X1,sK27(sK64))
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),sK49(sK27(sK64)),X0))
| sP0(X0,sK27(sK64)) )
| ~ spl99_2
| spl99_45
| ~ spl99_57 ),
inference(resolution,[],[f924,f720]) ).
tff(f720,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ~ sP93(sK27(sK64),X0)
| '$accessible_world'(sK27(sK64),sK48(sK27(sK64),X0,X2))
| sP8(X2,sK27(sK64))
| sP2(sK27(sK64),X2)
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),X0,X1))
| sP5(sK27(sK64),X0)
| sP6(X1,sK27(sK64))
| sP4(X1,sK27(sK64))
| sP0(X2,sK27(sK64)) )
| ~ spl99_2 ),
inference(resolution,[],[f661,f301]) ).
tff(f301,plain,
! [X3: $i,X0: '$world',X1: $i] :
( sP94(X0,X1)
| sP2(X0,X3)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP0(X3,X0)
| sP8(X3,X0) ),
inference(cnf_transformation,[],[f301_D]) ).
tff(f301_D,plain,
! [X1,X0] :
( ! [X3] :
( sP2(X0,X3)
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP0(X3,X0)
| sP8(X3,X0) )
<=> ~ sP94(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP94])]) ).
tff(f661,plain,
( ! [X10: $i,X11: $i] :
( ~ sP94(sK27(sK64),X10)
| ~ sP93(sK27(sK64),X10)
| sP6(X11,sK27(sK64))
| sP4(X11,sK27(sK64))
| sP5(sK27(sK64),X10)
| '$accessible_world'(sK27(sK64),sK47(sK27(sK64),X10,X11)) )
| ~ spl99_2 ),
inference(resolution,[],[f654,f302]) ).
tff(f302,plain,
! [X0: '$world',X1: $i,X4: $i] :
( ~ sP12(X0)
| ~ sP93(X0,X1)
| ~ sP94(X0,X1)
| sP6(X4,X0)
| sP4(X4,X0)
| sP5(X0,X1)
| '$accessible_world'(X0,sK47(X0,X1,X4)) ),
inference(general_splitting,[],[f300,f301_D]) ).
tff(f300,plain,
! [X3: $i,X0: '$world',X1: $i,X4: $i] :
( '$accessible_world'(X0,sK47(X0,X1,X4))
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP8(X3,X0)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP2(X0,X3)
| sP0(X3,X0)
| ~ sP12(X0)
| ~ sP93(X0,X1) ),
inference(general_splitting,[],[f201,f299_D]) ).
tff(f299,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ chevy(sK46(X0,X2),X2)
| sP3(X0,X2,X1)
| sP9(X0,X2)
| sP93(X0,X1)
| sP1(X2,X0)
| sP7(X0,X2)
| sP10(X2,X0) ),
inference(cnf_transformation,[],[f299_D]) ).
tff(f299_D,plain,
! [X1,X0] :
( ! [X2] :
( ~ chevy(sK46(X0,X2),X2)
| sP3(X0,X2,X1)
| sP9(X0,X2)
| sP1(X2,X0)
| sP7(X0,X2)
| sP10(X2,X0) )
<=> ~ sP93(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP93])]) ).
tff(f201,plain,
! [X2: $i,X3: $i,X0: '$world',X1: $i,X4: $i] :
( ~ chevy(sK46(X0,X2),X2)
| '$accessible_world'(X0,sK47(X0,X1,X4))
| '$accessible_world'(X0,sK48(X0,X1,X3))
| sP10(X2,X0)
| sP9(X0,X2)
| sP8(X3,X0)
| sP7(X0,X2)
| sP6(X4,X0)
| sP5(X0,X1)
| sP4(X4,X0)
| sP3(X0,X2,X1)
| sP2(X0,X3)
| sP1(X2,X0)
| sP0(X3,X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f924,plain,
( sP93(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| ~ spl99_57 ),
inference(resolution,[],[f839,f774]) ).
tff(f839,plain,
( ! [X1: $i] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X1)
| sP93(sK27(sK64),X1) )
| ~ spl99_57 ),
inference(avatar_component_clause,[],[f838]) ).
tff(f913,plain,
( spl99_44
| ~ spl99_49 ),
inference(avatar_contradiction_clause,[],[f912]) ).
tff(f912,plain,
( $false
| spl99_44
| ~ spl99_49 ),
inference(subsumption_resolution,[],[f911,f769]) ).
tff(f769,plain,
( ~ '$accessible_world'(sK27(sK64),sK53(sK51(sK27(sK64)),sK27(sK64)))
| spl99_44 ),
inference(avatar_component_clause,[],[f768]) ).
tff(f768,plain,
( spl99_44
<=> '$accessible_world'(sK27(sK64),sK53(sK51(sK27(sK64)),sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_44])]) ).
tff(f911,plain,
( '$accessible_world'(sK27(sK64),sK53(sK51(sK27(sK64)),sK27(sK64)))
| ~ spl99_49 ),
inference(resolution,[],[f796,f221]) ).
tff(f221,plain,
! [X0: $i,X1: '$world'] :
( ~ sP10(X0,X1)
| '$accessible_world'(X1,sK53(X0,X1)) ),
inference(cnf_transformation,[],[f105]) ).
tff(f105,plain,
! [X0,X1: '$world'] :
( ( ~ car(sK53(X0,X1),X0)
& '$accessible_world'(X1,sK53(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f103,f104]) ).
tff(f104,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ car(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ car(sK53(X0,X1),X0)
& '$accessible_world'(X1,sK53(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f103,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ car(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f102]) ).
tff(f102,plain,
! [X23,X1: '$world'] :
( ? [X35: '$world'] :
( ~ car(X35,X23)
& '$accessible_world'(X1,X35) )
| ~ sP10(X23,X1) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X23,X1: '$world'] :
( ? [X35: '$world'] :
( ~ car(X35,X23)
& '$accessible_world'(X1,X35) )
| ~ sP10(X23,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
tff(f796,plain,
( sP10(sK51(sK27(sK64)),sK27(sK64))
| ~ spl99_49 ),
inference(avatar_component_clause,[],[f794]) ).
tff(f910,plain,
( ~ spl99_50
| ~ spl99_2
| ~ spl99_43 ),
inference(avatar_split_clause,[],[f898,f764,f316,f798]) ).
tff(f764,plain,
( spl99_43
<=> '$accessible_world'(sK27(sK64),sK56(sK27(sK64),sK51(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_43])]) ).
tff(f898,plain,
( ~ sP7(sK27(sK64),sK51(sK27(sK64)))
| ~ spl99_2
| ~ spl99_43 ),
inference(resolution,[],[f766,f681]) ).
tff(f681,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK56(X1,sK51(sK27(sK64))))
| ~ sP7(X1,sK51(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f665,f227]) ).
tff(f227,plain,
! [X0: '$world',X1: $i] :
( ~ old(sK56(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK56(X0,X1))
& ~ old(sK56(X0,X1),X1) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f115,f116]) ).
tff(f116,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ old(X2,X1) )
=> ( '$accessible_world'(X0,sK56(X0,X1))
& ~ old(sK56(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f115,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ old(X2,X1) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f114]) ).
tff(f114,plain,
! [X1: '$world',X23] :
( ? [X26: '$world'] :
( '$accessible_world'(X1,X26)
& ~ old(X26,X23) )
| ~ sP7(X1,X23) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X1: '$world',X23] :
( ? [X26: '$world'] :
( '$accessible_world'(X1,X26)
& ~ old(X26,X23) )
| ~ sP7(X1,X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
tff(f665,plain,
( ! [X1: '$world'] :
( old(X1,sK51(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f208]) ).
tff(f208,plain,
! [X0: '$world',X17: '$world'] :
( ~ sP11(X0)
| old(X17,sK51(X0))
| ~ '$accessible_world'(X0,X17) ),
inference(cnf_transformation,[],[f101]) ).
tff(f766,plain,
( '$accessible_world'(sK27(sK64),sK56(sK27(sK64),sK51(sK27(sK64))))
| ~ spl99_43 ),
inference(avatar_component_clause,[],[f764]) ).
tff(f909,plain,
( spl99_49
| spl99_41
| spl99_54
| spl99_50
| spl99_45
| spl99_47
| spl99_48 ),
inference(avatar_split_clause,[],[f908,f790,f786,f772,f798,f817,f756,f794]) ).
tff(f908,plain,
( sP7(sK27(sK64),sK51(sK27(sK64)))
| sP85(sK27(sK64),sK49(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| spl99_45
| spl99_47
| spl99_48 ),
inference(subsumption_resolution,[],[f907,f787]) ).
tff(f907,plain,
( sP10(sK51(sK27(sK64)),sK27(sK64))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP85(sK27(sK64),sK49(sK27(sK64)))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| spl99_45
| spl99_48 ),
inference(subsumption_resolution,[],[f893,f791]) ).
tff(f893,plain,
( sP7(sK27(sK64),sK51(sK27(sK64)))
| sP85(sK27(sK64),sK49(sK27(sK64)))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| spl99_45 ),
inference(resolution,[],[f774,f283]) ).
tff(f906,plain,
( spl99_41
| spl99_49
| spl99_52
| spl99_50
| spl99_45
| spl99_47
| spl99_48 ),
inference(avatar_split_clause,[],[f905,f790,f786,f772,f798,f807,f794,f756]) ).
tff(f905,plain,
( sP7(sK27(sK64),sK51(sK27(sK64)))
| sP87(sK27(sK64),sK49(sK27(sK64)))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| spl99_45
| spl99_47
| spl99_48 ),
inference(subsumption_resolution,[],[f904,f791]) ).
tff(f904,plain,
( sP87(sK27(sK64),sK49(sK27(sK64)))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| spl99_45
| spl99_47 ),
inference(subsumption_resolution,[],[f892,f787]) ).
tff(f892,plain,
( sP1(sK51(sK27(sK64)),sK27(sK64))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP87(sK27(sK64),sK49(sK27(sK64)))
| spl99_45 ),
inference(resolution,[],[f774,f287]) ).
tff(f903,plain,
( spl99_41
| spl99_49
| spl99_50
| spl99_51
| spl99_45
| spl99_47
| spl99_48 ),
inference(avatar_split_clause,[],[f902,f790,f786,f772,f802,f798,f794,f756]) ).
tff(f902,plain,
( sP89(sK27(sK64),sK49(sK27(sK64)))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| spl99_45
| spl99_47
| spl99_48 ),
inference(subsumption_resolution,[],[f901,f791]) ).
tff(f901,plain,
( sP9(sK27(sK64),sK51(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| sP89(sK27(sK64),sK49(sK27(sK64)))
| spl99_45
| spl99_47 ),
inference(subsumption_resolution,[],[f891,f787]) ).
tff(f891,plain,
( sP7(sK27(sK64),sK51(sK27(sK64)))
| sP89(sK27(sK64),sK49(sK27(sK64)))
| '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| spl99_45 ),
inference(resolution,[],[f774,f291]) ).
tff(f897,plain,
( spl99_43
| ~ spl99_50 ),
inference(avatar_split_clause,[],[f896,f798,f764]) ).
tff(f896,plain,
( '$accessible_world'(sK27(sK64),sK56(sK27(sK64),sK51(sK27(sK64))))
| ~ spl99_50 ),
inference(resolution,[],[f800,f228]) ).
tff(f228,plain,
! [X0: '$world',X1: $i] :
( ~ sP7(X0,X1)
| '$accessible_world'(X0,sK56(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
tff(f800,plain,
( sP7(sK27(sK64),sK51(sK27(sK64)))
| ~ spl99_50 ),
inference(avatar_component_clause,[],[f798]) ).
tff(f890,plain,
( spl99_42
| ~ spl99_47 ),
inference(avatar_contradiction_clause,[],[f889]) ).
tff(f889,plain,
( $false
| spl99_42
| ~ spl99_47 ),
inference(subsumption_resolution,[],[f888,f761]) ).
tff(f761,plain,
( ~ '$accessible_world'(sK27(sK64),sK62(sK51(sK27(sK64)),sK27(sK64)))
| spl99_42 ),
inference(avatar_component_clause,[],[f760]) ).
tff(f760,plain,
( spl99_42
<=> '$accessible_world'(sK27(sK64),sK62(sK51(sK27(sK64)),sK27(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_42])]) ).
tff(f888,plain,
( '$accessible_world'(sK27(sK64),sK62(sK51(sK27(sK64)),sK27(sK64)))
| ~ spl99_47 ),
inference(resolution,[],[f788,f239]) ).
tff(f239,plain,
! [X0: $i,X1: '$world'] :
( ~ sP1(X0,X1)
| '$accessible_world'(X1,sK62(X0,X1)) ),
inference(cnf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0,X1: '$world'] :
( ( ~ white(sK62(X0,X1),X0)
& '$accessible_world'(X1,sK62(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f139,f140]) ).
tff(f140,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ white(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ white(sK62(X0,X1),X0)
& '$accessible_world'(X1,sK62(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f139,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ white(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f138]) ).
tff(f138,plain,
! [X23,X1: '$world'] :
( ? [X36: '$world'] :
( ~ white(X36,X23)
& '$accessible_world'(X1,X36) )
| ~ sP1(X23,X1) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
! [X23,X1: '$world'] :
( ? [X36: '$world'] :
( ~ white(X36,X23)
& '$accessible_world'(X1,X36) )
| ~ sP1(X23,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f788,plain,
( sP1(sK51(sK27(sK64)),sK27(sK64))
| ~ spl99_47 ),
inference(avatar_component_clause,[],[f786]) ).
tff(f887,plain,
( ~ spl99_45
| ~ spl99_2
| ~ spl99_60 ),
inference(avatar_split_clause,[],[f884,f856,f316,f772]) ).
tff(f856,plain,
( spl99_60
<=> '$accessible_world'(sK27(sK64),sK60(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_60])]) ).
tff(f884,plain,
( ~ sP3(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64)))
| ~ spl99_2
| ~ spl99_60 ),
inference(resolution,[],[f858,f710]) ).
tff(f710,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK60(X1,sK51(sK27(sK64)),sK49(sK27(sK64))))
| ~ sP3(X1,sK51(sK27(sK64)),sK49(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f667,f235]) ).
tff(f235,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ barrel(sK60(X0,X1,X2),X2,X1)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: '$world',X1,X2] :
( ( '$accessible_world'(X0,sK60(X0,X1,X2))
& ~ barrel(sK60(X0,X1,X2),X2,X1) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f131,f132]) ).
tff(f132,plain,
! [X0: '$world',X1,X2] :
( ? [X3: '$world'] :
( '$accessible_world'(X0,X3)
& ~ barrel(X3,X2,X1) )
=> ( '$accessible_world'(X0,sK60(X0,X1,X2))
& ~ barrel(sK60(X0,X1,X2),X2,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f131,plain,
! [X0: '$world',X1,X2] :
( ? [X3: '$world'] :
( '$accessible_world'(X0,X3)
& ~ barrel(X3,X2,X1) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f130]) ).
tff(f130,plain,
! [X1: '$world',X23,X22] :
( ? [X24: '$world'] :
( '$accessible_world'(X1,X24)
& ~ barrel(X24,X22,X23) )
| ~ sP3(X1,X23,X22) ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,plain,
! [X1: '$world',X23,X22] :
( ? [X24: '$world'] :
( '$accessible_world'(X1,X24)
& ~ barrel(X24,X22,X23) )
| ~ sP3(X1,X23,X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
tff(f667,plain,
( ! [X3: '$world'] :
( barrel(X3,sK49(sK27(sK64)),sK51(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X3) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f210]) ).
tff(f210,plain,
! [X0: '$world',X15: '$world'] :
( ~ sP11(X0)
| barrel(X15,sK49(X0),sK51(X0))
| ~ '$accessible_world'(X0,X15) ),
inference(cnf_transformation,[],[f101]) ).
tff(f858,plain,
( '$accessible_world'(sK27(sK64),sK60(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64))))
| ~ spl99_60 ),
inference(avatar_component_clause,[],[f856]) ).
tff(f881,plain,
( ~ spl99_48
| ~ spl99_2
| ~ spl99_46 ),
inference(avatar_split_clause,[],[f878,f776,f316,f790]) ).
tff(f776,plain,
( spl99_46
<=> '$accessible_world'(sK27(sK64),sK54(sK27(sK64),sK51(sK27(sK64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl99_46])]) ).
tff(f878,plain,
( ~ sP9(sK27(sK64),sK51(sK27(sK64)))
| ~ spl99_2
| ~ spl99_46 ),
inference(resolution,[],[f778,f697]) ).
tff(f697,plain,
( ! [X0: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK54(X0,sK51(sK27(sK64))))
| ~ sP9(X0,sK51(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f673,f223]) ).
tff(f223,plain,
! [X0: '$world',X1: $i] :
( ~ dirty(sK54(X0,X1),X1)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK54(X0,X1))
& ~ dirty(sK54(X0,X1),X1) )
| ~ sP9(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f107,f108]) ).
tff(f108,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ dirty(X2,X1) )
=> ( '$accessible_world'(X0,sK54(X0,X1))
& ~ dirty(sK54(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f107,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ dirty(X2,X1) )
| ~ sP9(X0,X1) ),
inference(rectify,[],[f106]) ).
tff(f106,plain,
! [X1: '$world',X23] :
( ? [X32: '$world'] :
( '$accessible_world'(X1,X32)
& ~ dirty(X32,X23) )
| ~ sP9(X1,X23) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X1: '$world',X23] :
( ? [X32: '$world'] :
( '$accessible_world'(X1,X32)
& ~ dirty(X32,X23) )
| ~ sP9(X1,X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
tff(f673,plain,
( ! [X9: '$world'] :
( dirty(X9,sK51(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X9) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f216]) ).
tff(f216,plain,
! [X0: '$world',X9: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X9)
| dirty(X9,sK51(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f778,plain,
( '$accessible_world'(sK27(sK64),sK54(sK27(sK64),sK51(sK27(sK64))))
| ~ spl99_46 ),
inference(avatar_component_clause,[],[f776]) ).
tff(f877,plain,
( spl99_46
| ~ spl99_48 ),
inference(avatar_split_clause,[],[f876,f790,f776]) ).
tff(f876,plain,
( '$accessible_world'(sK27(sK64),sK54(sK27(sK64),sK51(sK27(sK64))))
| ~ spl99_48 ),
inference(resolution,[],[f792,f224]) ).
tff(f224,plain,
! [X0: '$world',X1: $i] :
( ~ sP9(X0,X1)
| '$accessible_world'(X0,sK54(X0,X1)) ),
inference(cnf_transformation,[],[f109]) ).
tff(f792,plain,
( sP9(sK27(sK64),sK51(sK27(sK64)))
| ~ spl99_48 ),
inference(avatar_component_clause,[],[f790]) ).
tff(f865,plain,
( spl99_60
| ~ spl99_45 ),
inference(avatar_split_clause,[],[f864,f772,f856]) ).
tff(f864,plain,
( '$accessible_world'(sK27(sK64),sK60(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64))))
| ~ spl99_45 ),
inference(resolution,[],[f773,f236]) ).
tff(f236,plain,
! [X2: $i,X0: '$world',X1: $i] :
( ~ sP3(X0,X1,X2)
| '$accessible_world'(X0,sK60(X0,X1,X2)) ),
inference(cnf_transformation,[],[f133]) ).
tff(f773,plain,
( sP3(sK27(sK64),sK51(sK27(sK64)),sK49(sK27(sK64)))
| ~ spl99_45 ),
inference(avatar_component_clause,[],[f772]) ).
tff(f861,plain,
( ~ spl99_49
| ~ spl99_2
| ~ spl99_44 ),
inference(avatar_split_clause,[],[f860,f768,f316,f794]) ).
tff(f860,plain,
( ~ sP10(sK51(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_44 ),
inference(resolution,[],[f770,f685]) ).
tff(f685,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK53(sK51(sK27(sK64)),X1))
| ~ sP10(sK51(sK27(sK64)),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f668,f222]) ).
tff(f222,plain,
! [X0: $i,X1: '$world'] :
( ~ car(sK53(X0,X1),X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
tff(f668,plain,
( ! [X4: '$world'] :
( car(X4,sK51(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X4) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f211]) ).
tff(f211,plain,
! [X0: '$world',X14: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X14)
| car(X14,sK51(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f770,plain,
( '$accessible_world'(sK27(sK64),sK53(sK51(sK27(sK64)),sK27(sK64)))
| ~ spl99_44 ),
inference(avatar_component_clause,[],[f768]) ).
tff(f850,plain,
( ~ spl99_47
| ~ spl99_2
| ~ spl99_42 ),
inference(avatar_split_clause,[],[f849,f760,f316,f786]) ).
tff(f849,plain,
( ~ sP1(sK51(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_42 ),
inference(resolution,[],[f762,f679]) ).
tff(f679,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK62(sK51(sK27(sK64)),X1))
| ~ sP1(sK51(sK27(sK64)),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f664,f240]) ).
tff(f240,plain,
! [X0: $i,X1: '$world'] :
( ~ white(sK62(X0,X1),X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tff(f664,plain,
( ! [X0: '$world'] :
( white(X0,sK51(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X0) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f207]) ).
tff(f207,plain,
! [X0: '$world',X18: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X18)
| white(X18,sK51(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f762,plain,
( '$accessible_world'(sK27(sK64),sK62(sK51(sK27(sK64)),sK27(sK64)))
| ~ spl99_42 ),
inference(avatar_component_clause,[],[f760]) ).
tff(f848,plain,
( spl99_47
| spl99_50
| spl99_48
| spl99_59
| spl99_49
| ~ spl99_2
| ~ spl99_41 ),
inference(avatar_split_clause,[],[f832,f756,f316,f794,f846,f790,f798,f786]) ).
tff(f832,plain,
( ! [X3: $i] :
( sP10(sK51(sK27(sK64)),sK27(sK64))
| sP97(sK27(sK64),X3)
| sP9(sK27(sK64),sK51(sK27(sK64)))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP3(sK27(sK64),sK51(sK27(sK64)),X3) )
| ~ spl99_2
| ~ spl99_41 ),
inference(resolution,[],[f758,f693]) ).
tff(f693,plain,
( ! [X2: $i,X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK46(X1,sK51(sK27(sK64))))
| sP97(X1,X2)
| sP3(X1,sK51(sK27(sK64)),X2)
| sP7(X1,sK51(sK27(sK64)))
| sP1(sK51(sK27(sK64)),X1)
| sP10(sK51(sK27(sK64)),X1)
| sP9(X1,sK51(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f672,f307]) ).
tff(f672,plain,
( ! [X8: '$world'] :
( chevy(X8,sK51(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X8) )
| ~ spl99_2 ),
inference(resolution,[],[f655,f215]) ).
tff(f215,plain,
! [X10: '$world',X0: '$world'] :
( ~ sP11(X0)
| ~ '$accessible_world'(X0,X10)
| chevy(X10,sK51(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f758,plain,
( '$accessible_world'(sK27(sK64),sK46(sK27(sK64),sK51(sK27(sK64))))
| ~ spl99_41 ),
inference(avatar_component_clause,[],[f756]) ).
tff(f844,plain,
( spl99_50
| spl99_49
| spl99_47
| spl99_48
| spl99_58
| ~ spl99_2
| ~ spl99_41 ),
inference(avatar_split_clause,[],[f829,f756,f316,f842,f790,f786,f794,f798]) ).
tff(f829,plain,
( ! [X0: $i] :
( sP3(sK27(sK64),sK51(sK27(sK64)),X0)
| sP9(sK27(sK64),sK51(sK27(sK64)))
| sP91(sK27(sK64),X0)
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP10(sK51(sK27(sK64)),sK27(sK64))
| sP7(sK27(sK64),sK51(sK27(sK64))) )
| ~ spl99_2
| ~ spl99_41 ),
inference(resolution,[],[f758,f696]) ).
tff(f696,plain,
( ! [X8: $i,X7: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK46(X7,sK51(sK27(sK64))))
| sP3(X7,sK51(sK27(sK64)),X8)
| sP10(sK51(sK27(sK64)),X7)
| sP7(X7,sK51(sK27(sK64)))
| sP1(sK51(sK27(sK64)),X7)
| sP9(X7,sK51(sK27(sK64)))
| sP91(X7,X8) )
| ~ spl99_2 ),
inference(resolution,[],[f672,f295]) ).
tff(f840,plain,
( spl99_57
| spl99_48
| spl99_50
| spl99_47
| spl99_49
| ~ spl99_2
| ~ spl99_41 ),
inference(avatar_split_clause,[],[f830,f756,f316,f794,f786,f798,f790,f838]) ).
tff(f830,plain,
( ! [X1: $i] :
( sP10(sK51(sK27(sK64)),sK27(sK64))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP7(sK27(sK64),sK51(sK27(sK64)))
| sP9(sK27(sK64),sK51(sK27(sK64)))
| sP3(sK27(sK64),sK51(sK27(sK64)),X1)
| sP93(sK27(sK64),X1) )
| ~ spl99_2
| ~ spl99_41 ),
inference(resolution,[],[f758,f695]) ).
tff(f695,plain,
( ! [X6: $i,X5: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK46(X5,sK51(sK27(sK64))))
| sP3(X5,sK51(sK27(sK64)),X6)
| sP93(X5,X6)
| sP10(sK51(sK27(sK64)),X5)
| sP1(sK51(sK27(sK64)),X5)
| sP9(X5,sK51(sK27(sK64)))
| sP7(X5,sK51(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f672,f299]) ).
tff(f836,plain,
( spl99_49
| spl99_48
| spl99_47
| spl99_50
| spl99_56
| ~ spl99_2
| ~ spl99_41 ),
inference(avatar_split_clause,[],[f831,f756,f316,f834,f798,f786,f790,f794]) ).
tff(f831,plain,
( ! [X2: $i] :
( sP95(sK27(sK64),X2)
| sP7(sK27(sK64),sK51(sK27(sK64)))
| sP1(sK51(sK27(sK64)),sK27(sK64))
| sP3(sK27(sK64),sK51(sK27(sK64)),X2)
| sP9(sK27(sK64),sK51(sK27(sK64)))
| sP10(sK51(sK27(sK64)),sK27(sK64)) )
| ~ spl99_2
| ~ spl99_41 ),
inference(resolution,[],[f758,f694]) ).
tff(f694,plain,
( ! [X3: '$world',X4: $i] :
( ~ '$accessible_world'(sK27(sK64),sK46(X3,sK51(sK27(sK64))))
| sP1(sK51(sK27(sK64)),X3)
| sP3(X3,sK51(sK27(sK64)),X4)
| sP7(X3,sK51(sK27(sK64)))
| sP95(X3,X4)
| sP9(X3,sK51(sK27(sK64)))
| sP10(sK51(sK27(sK64)),X3) )
| ~ spl99_2 ),
inference(resolution,[],[f672,f303]) ).
tff(f439,plain,
( ~ spl99_2
| ~ spl99_6 ),
inference(avatar_contradiction_clause,[],[f438]) ).
tff(f438,plain,
( $false
| ~ spl99_2
| ~ spl99_6 ),
inference(subsumption_resolution,[],[f437,f419]) ).
tff(f419,plain,
( sP6(sK50(sK27(sK64)),sK27(sK64))
| ~ spl99_6 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f437,plain,
( ~ sP6(sK50(sK27(sK64)),sK27(sK64))
| ~ spl99_2
| ~ spl99_6 ),
inference(resolution,[],[f436,f362]) ).
tff(f362,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK57(sK50(sK27(sK64)),X1))
| ~ sP6(sK50(sK27(sK64)),X1) )
| ~ spl99_2 ),
inference(resolution,[],[f342,f230]) ).
tff(f230,plain,
! [X0: $i,X1: '$world'] :
( ~ city(sK57(X0,X1),X0)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0,X1: '$world'] :
( ( ~ city(sK57(X0,X1),X0)
& '$accessible_world'(X1,sK57(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f119,f120]) ).
tff(f120,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ city(X2,X0)
& '$accessible_world'(X1,X2) )
=> ( ~ city(sK57(X0,X1),X0)
& '$accessible_world'(X1,sK57(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f119,plain,
! [X0,X1: '$world'] :
( ? [X2: '$world'] :
( ~ city(X2,X0)
& '$accessible_world'(X1,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f118]) ).
tff(f118,plain,
! [X21,X1: '$world'] :
( ? [X33: '$world'] :
( ~ city(X33,X21)
& '$accessible_world'(X1,X33) )
| ~ sP6(X21,X1) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X21,X1: '$world'] :
( ? [X33: '$world'] :
( ~ city(X33,X21)
& '$accessible_world'(X1,X33) )
| ~ sP6(X21,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
tff(f342,plain,
( ! [X0: '$world'] :
( city(X0,sK50(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X0) )
| ~ spl99_2 ),
inference(resolution,[],[f217,f330]) ).
tff(f330,plain,
( sP11(sK27(sK64))
| ~ spl99_2 ),
inference(resolution,[],[f152,f318]) ).
tff(f217,plain,
! [X0: '$world',X8: '$world'] :
( ~ sP11(X0)
| city(X8,sK50(X0))
| ~ '$accessible_world'(X0,X8) ),
inference(cnf_transformation,[],[f101]) ).
tff(f436,plain,
( '$accessible_world'(sK27(sK64),sK57(sK50(sK27(sK64)),sK27(sK64)))
| ~ spl99_6 ),
inference(resolution,[],[f419,f229]) ).
tff(f229,plain,
! [X0: $i,X1: '$world'] :
( ~ sP6(X0,X1)
| '$accessible_world'(X1,sK57(X0,X1)) ),
inference(cnf_transformation,[],[f121]) ).
tff(f435,plain,
( ~ spl99_2
| ~ spl99_5 ),
inference(avatar_contradiction_clause,[],[f434]) ).
tff(f434,plain,
( $false
| ~ spl99_2
| ~ spl99_5 ),
inference(subsumption_resolution,[],[f433,f415]) ).
tff(f415,plain,
( sP5(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_5 ),
inference(avatar_component_clause,[],[f413]) ).
tff(f433,plain,
( ~ sP5(sK27(sK64),sK49(sK27(sK64)))
| ~ spl99_2
| ~ spl99_5 ),
inference(resolution,[],[f431,f357]) ).
tff(f357,plain,
( ! [X1: '$world'] :
( ~ '$accessible_world'(sK27(sK64),sK58(X1,sK49(sK27(sK64))))
| ~ sP5(X1,sK49(sK27(sK64))) )
| ~ spl99_2 ),
inference(resolution,[],[f339,f231]) ).
tff(f231,plain,
! [X0: '$world',X1: $i] :
( ~ event(sK58(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: '$world',X1] :
( ( '$accessible_world'(X0,sK58(X0,X1))
& ~ event(sK58(X0,X1),X1) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f123,f124]) ).
tff(f124,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ event(X2,X1) )
=> ( '$accessible_world'(X0,sK58(X0,X1))
& ~ event(sK58(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f123,plain,
! [X0: '$world',X1] :
( ? [X2: '$world'] :
( '$accessible_world'(X0,X2)
& ~ event(X2,X1) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f122]) ).
tff(f122,plain,
! [X1: '$world',X22] :
( ? [X31: '$world'] :
( '$accessible_world'(X1,X31)
& ~ event(X31,X22) )
| ~ sP5(X1,X22) ),
inference(nnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X1: '$world',X22] :
( ? [X31: '$world'] :
( '$accessible_world'(X1,X31)
& ~ event(X31,X22) )
| ~ sP5(X1,X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
tff(f339,plain,
( ! [X0: '$world'] :
( event(X0,sK49(sK27(sK64)))
| ~ '$accessible_world'(sK27(sK64),X0) )
| ~ spl99_2 ),
inference(resolution,[],[f214,f330]) ).
tff(f214,plain,
! [X0: '$world',X11: '$world'] :
( ~ sP11(X0)
| event(X11,sK49(X0))
| ~ '$accessible_world'(X0,X11) ),
inference(cnf_transformation,[],[f101]) ).
tff(f431,plain,
( '$accessible_world'(sK27(sK64),sK58(sK27(sK64),sK49(sK27(sK64))))
| ~ spl99_5 ),
inference(resolution,[],[f415,f232]) ).
tff(f232,plain,
! [X0: '$world',X1: $i] :
( ~ sP5(X0,X1)
| '$accessible_world'(X0,sK58(X0,X1)) ),
inference(cnf_transformation,[],[f125]) ).
tff(f329,plain,
( spl99_2
| spl99_4 ),
inference(avatar_split_clause,[],[f244,f326,f316]) ).
tff(f244,plain,
( sP24(sK65)
| sP26(sK64) ),
inference(cnf_transformation,[],[f149]) ).
tff(f149,plain,
( ( sP25(sK65)
& sP24(sK65)
& '$accessible_world'(sK64,sK65) )
| sP26(sK64) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f146,f148,f147]) ).
tff(f147,plain,
( ? [X0: '$world'] :
( ? [X1: '$world'] :
( sP25(X1)
& sP24(X1)
& '$accessible_world'(X0,X1) )
| sP26(X0) )
=> ( ? [X1: '$world'] :
( sP25(X1)
& sP24(X1)
& '$accessible_world'(sK64,X1) )
| sP26(sK64) ) ),
introduced(choice_axiom,[]) ).
tff(f148,plain,
( ? [X1: '$world'] :
( sP25(X1)
& sP24(X1)
& '$accessible_world'(sK64,X1) )
=> ( sP25(sK65)
& sP24(sK65)
& '$accessible_world'(sK64,sK65) ) ),
introduced(choice_axiom,[]) ).
tff(f146,plain,
? [X0: '$world'] :
( ? [X1: '$world'] :
( sP25(X1)
& sP24(X1)
& '$accessible_world'(X0,X1) )
| sP26(X0) ),
inference(rectify,[],[f34]) ).
tff(f34,plain,
? [X0: '$world'] :
( ? [X38: '$world'] :
( sP25(X38)
& sP24(X38)
& '$accessible_world'(X0,X38) )
| sP26(X0) ),
inference(definition_folding,[],[f6,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
tff(f6,plain,
? [X0: '$world'] :
( ? [X38: '$world'] :
( ! [X58,X57,X59,X60] :
( ? [X65: '$world'] :
( ~ dirty(X65,X58)
& '$accessible_world'(X38,X65) )
| ? [X69: '$world'] :
( ~ down(X69,X59,X57)
& '$accessible_world'(X38,X69) )
| ? [X68: '$world'] :
( '$accessible_world'(X38,X68)
& ~ way(X68,X57) )
| ? [X72: '$world'] :
( '$accessible_world'(X38,X72)
& ~ white(X72,X58) )
| ? [X61: '$world'] :
( ~ lonely(X61,X57)
& '$accessible_world'(X38,X61) )
| ? [X70: '$world'] :
( '$accessible_world'(X38,X70)
& ~ chevy(X70,X58) )
| ? [X71: '$world'] :
( ~ event(X71,X59)
& '$accessible_world'(X38,X71) )
| ? [X66: '$world'] :
( '$accessible_world'(X38,X66)
& ~ in(X66,X59,X60) )
| ? [X64: '$world'] :
( ~ barrel(X64,X59,X58)
& '$accessible_world'(X38,X64) )
| ? [X62: '$world'] :
( ~ old(X62,X58)
& '$accessible_world'(X38,X62) )
| ? [X63: '$world'] :
( '$accessible_world'(X38,X63)
& ~ street(X63,X57) )
| ? [X74: '$world'] :
( '$accessible_world'(X38,X74)
& ~ car(X74,X58) )
| ? [X67: '$world'] :
( ~ city(X67,X60)
& '$accessible_world'(X38,X67) )
| ? [X73: '$world'] :
( ~ hollywood(X73,X60)
& '$accessible_world'(X38,X73) ) )
& ? [X41,X39,X42,X40] :
( ! [X54: '$world'] :
( chevy(X54,X40)
| ~ '$accessible_world'(X38,X54) )
& ! [X45: '$world'] :
( ~ '$accessible_world'(X38,X45)
| barrel(X45,X39,X40) )
& ! [X56: '$world'] :
( ~ '$accessible_world'(X38,X56)
| dirty(X56,X40) )
& ! [X44: '$world'] :
( city(X44,X41)
| ~ '$accessible_world'(X38,X44) )
& ! [X53: '$world'] :
( ~ '$accessible_world'(X38,X53)
| white(X53,X40) )
& ! [X49: '$world'] :
( ~ '$accessible_world'(X38,X49)
| old(X49,X40) )
& ! [X48: '$world'] :
( way(X48,X42)
| ~ '$accessible_world'(X38,X48) )
& ! [X51: '$world'] :
( ~ '$accessible_world'(X38,X51)
| hollywood(X51,X41) )
& ! [X55: '$world'] :
( ~ '$accessible_world'(X38,X55)
| lonely(X55,X42) )
& ! [X47: '$world'] :
( in(X47,X39,X41)
| ~ '$accessible_world'(X38,X47) )
& ! [X43: '$world'] :
( ~ '$accessible_world'(X38,X43)
| event(X43,X39) )
& ! [X52: '$world'] :
( down(X52,X39,X42)
| ~ '$accessible_world'(X38,X52) )
& ! [X46: '$world'] :
( car(X46,X40)
| ~ '$accessible_world'(X38,X46) )
& ! [X50: '$world'] :
( street(X50,X42)
| ~ '$accessible_world'(X38,X50) ) )
& '$accessible_world'(X0,X38) )
| ? [X1: '$world'] :
( '$accessible_world'(X0,X1)
& ! [X22,X23,X20,X21] :
( ? [X28: '$world'] :
( '$accessible_world'(X1,X28)
& ~ chevy(X28,X23) )
| ? [X34: '$world'] :
( '$accessible_world'(X1,X34)
& ~ in(X34,X22,X21) )
| ? [X27: '$world'] :
( ~ down(X27,X22,X20)
& '$accessible_world'(X1,X27) )
| ? [X35: '$world'] :
( ~ car(X35,X23)
& '$accessible_world'(X1,X35) )
| ? [X32: '$world'] :
( '$accessible_world'(X1,X32)
& ~ dirty(X32,X23) )
| ? [X29: '$world'] :
( ~ street(X29,X20)
& '$accessible_world'(X1,X29) )
| ? [X26: '$world'] :
( '$accessible_world'(X1,X26)
& ~ old(X26,X23) )
| ? [X33: '$world'] :
( ~ city(X33,X21)
& '$accessible_world'(X1,X33) )
| ? [X31: '$world'] :
( '$accessible_world'(X1,X31)
& ~ event(X31,X22) )
| ? [X25: '$world'] :
( ~ hollywood(X25,X21)
& '$accessible_world'(X1,X25) )
| ? [X24: '$world'] :
( '$accessible_world'(X1,X24)
& ~ barrel(X24,X22,X23) )
| ? [X37: '$world'] :
( '$accessible_world'(X1,X37)
& ~ lonely(X37,X20) )
| ? [X36: '$world'] :
( ~ white(X36,X23)
& '$accessible_world'(X1,X36) )
| ? [X30: '$world'] :
( ~ way(X30,X20)
& '$accessible_world'(X1,X30) ) )
& ? [X2,X5,X4,X3] :
( ! [X11: '$world'] :
( in(X11,X2,X5)
| ~ '$accessible_world'(X1,X11) )
& ! [X16: '$world'] :
( down(X16,X2,X3)
| ~ '$accessible_world'(X1,X16) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X1,X12)
| way(X12,X3) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X1,X8)
| city(X8,X5) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X1,X10)
| dirty(X10,X4) )
& ! [X13: '$world'] :
( chevy(X13,X4)
| ~ '$accessible_world'(X1,X13) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X1,X6)
| event(X6,X2) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X1,X7)
| hollywood(X7,X5) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X1,X18)
| street(X18,X3) )
& ! [X14: '$world'] :
( car(X14,X4)
| ~ '$accessible_world'(X1,X14) )
& ! [X15: '$world'] :
( barrel(X15,X2,X4)
| ~ '$accessible_world'(X1,X15) )
& ! [X19: '$world'] :
( ~ '$accessible_world'(X1,X19)
| lonely(X19,X3) )
& ! [X9: '$world'] :
( old(X9,X4)
| ~ '$accessible_world'(X1,X9) )
& ! [X17: '$world'] :
( ~ '$accessible_world'(X1,X17)
| white(X17,X4) ) ) ) ),
inference(flattening,[],[f5]) ).
tff(f5,plain,
? [X0: '$world'] :
( ? [X1: '$world'] :
( ! [X22,X23,X20,X21] :
( ? [X28: '$world'] :
( '$accessible_world'(X1,X28)
& ~ chevy(X28,X23) )
| ? [X34: '$world'] :
( '$accessible_world'(X1,X34)
& ~ in(X34,X22,X21) )
| ? [X27: '$world'] :
( ~ down(X27,X22,X20)
& '$accessible_world'(X1,X27) )
| ? [X35: '$world'] :
( ~ car(X35,X23)
& '$accessible_world'(X1,X35) )
| ? [X32: '$world'] :
( '$accessible_world'(X1,X32)
& ~ dirty(X32,X23) )
| ? [X29: '$world'] :
( ~ street(X29,X20)
& '$accessible_world'(X1,X29) )
| ? [X26: '$world'] :
( '$accessible_world'(X1,X26)
& ~ old(X26,X23) )
| ? [X33: '$world'] :
( ~ city(X33,X21)
& '$accessible_world'(X1,X33) )
| ? [X31: '$world'] :
( '$accessible_world'(X1,X31)
& ~ event(X31,X22) )
| ? [X25: '$world'] :
( ~ hollywood(X25,X21)
& '$accessible_world'(X1,X25) )
| ? [X24: '$world'] :
( '$accessible_world'(X1,X24)
& ~ barrel(X24,X22,X23) )
| ? [X37: '$world'] :
( '$accessible_world'(X1,X37)
& ~ lonely(X37,X20) )
| ? [X36: '$world'] :
( ~ white(X36,X23)
& '$accessible_world'(X1,X36) )
| ? [X30: '$world'] :
( ~ way(X30,X20)
& '$accessible_world'(X1,X30) ) )
& ? [X2,X5,X4,X3] :
( ! [X11: '$world'] :
( in(X11,X2,X5)
| ~ '$accessible_world'(X1,X11) )
& ! [X16: '$world'] :
( down(X16,X2,X3)
| ~ '$accessible_world'(X1,X16) )
& ! [X12: '$world'] :
( ~ '$accessible_world'(X1,X12)
| way(X12,X3) )
& ! [X8: '$world'] :
( ~ '$accessible_world'(X1,X8)
| city(X8,X5) )
& ! [X10: '$world'] :
( ~ '$accessible_world'(X1,X10)
| dirty(X10,X4) )
& ! [X13: '$world'] :
( chevy(X13,X4)
| ~ '$accessible_world'(X1,X13) )
& ! [X6: '$world'] :
( ~ '$accessible_world'(X1,X6)
| event(X6,X2) )
& ! [X7: '$world'] :
( ~ '$accessible_world'(X1,X7)
| hollywood(X7,X5) )
& ! [X18: '$world'] :
( ~ '$accessible_world'(X1,X18)
| street(X18,X3) )
& ! [X14: '$world'] :
( car(X14,X4)
| ~ '$accessible_world'(X1,X14) )
& ! [X15: '$world'] :
( barrel(X15,X2,X4)
| ~ '$accessible_world'(X1,X15) )
& ! [X19: '$world'] :
( ~ '$accessible_world'(X1,X19)
| lonely(X19,X3) )
& ! [X9: '$world'] :
( old(X9,X4)
| ~ '$accessible_world'(X1,X9) )
& ! [X17: '$world'] :
( ~ '$accessible_world'(X1,X17)
| white(X17,X4) ) )
& '$accessible_world'(X0,X1) )
| ? [X38: '$world'] :
( ! [X58,X57,X59,X60] :
( ? [X65: '$world'] :
( ~ dirty(X65,X58)
& '$accessible_world'(X38,X65) )
| ? [X69: '$world'] :
( ~ down(X69,X59,X57)
& '$accessible_world'(X38,X69) )
| ? [X68: '$world'] :
( '$accessible_world'(X38,X68)
& ~ way(X68,X57) )
| ? [X72: '$world'] :
( '$accessible_world'(X38,X72)
& ~ white(X72,X58) )
| ? [X61: '$world'] :
( ~ lonely(X61,X57)
& '$accessible_world'(X38,X61) )
| ? [X70: '$world'] :
( '$accessible_world'(X38,X70)
& ~ chevy(X70,X58) )
| ? [X71: '$world'] :
( ~ event(X71,X59)
& '$accessible_world'(X38,X71) )
| ? [X66: '$world'] :
( '$accessible_world'(X38,X66)
& ~ in(X66,X59,X60) )
| ? [X64: '$world'] :
( ~ barrel(X64,X59,X58)
& '$accessible_world'(X38,X64) )
| ? [X62: '$world'] :
( ~ old(X62,X58)
& '$accessible_world'(X38,X62) )
| ? [X63: '$world'] :
( '$accessible_world'(X38,X63)
& ~ street(X63,X57) )
| ? [X74: '$world'] :
( '$accessible_world'(X38,X74)
& ~ car(X74,X58) )
| ? [X67: '$world'] :
( ~ city(X67,X60)
& '$accessible_world'(X38,X67) )
| ? [X73: '$world'] :
( ~ hollywood(X73,X60)
& '$accessible_world'(X38,X73) ) )
& ? [X41,X39,X42,X40] :
( ! [X54: '$world'] :
( chevy(X54,X40)
| ~ '$accessible_world'(X38,X54) )
& ! [X45: '$world'] :
( ~ '$accessible_world'(X38,X45)
| barrel(X45,X39,X40) )
& ! [X56: '$world'] :
( ~ '$accessible_world'(X38,X56)
| dirty(X56,X40) )
& ! [X44: '$world'] :
( city(X44,X41)
| ~ '$accessible_world'(X38,X44) )
& ! [X53: '$world'] :
( ~ '$accessible_world'(X38,X53)
| white(X53,X40) )
& ! [X49: '$world'] :
( ~ '$accessible_world'(X38,X49)
| old(X49,X40) )
& ! [X48: '$world'] :
( way(X48,X42)
| ~ '$accessible_world'(X38,X48) )
& ! [X51: '$world'] :
( ~ '$accessible_world'(X38,X51)
| hollywood(X51,X41) )
& ! [X55: '$world'] :
( ~ '$accessible_world'(X38,X55)
| lonely(X55,X42) )
& ! [X47: '$world'] :
( in(X47,X39,X41)
| ~ '$accessible_world'(X38,X47) )
& ! [X43: '$world'] :
( ~ '$accessible_world'(X38,X43)
| event(X43,X39) )
& ! [X52: '$world'] :
( down(X52,X39,X42)
| ~ '$accessible_world'(X38,X52) )
& ! [X46: '$world'] :
( car(X46,X40)
| ~ '$accessible_world'(X38,X46) )
& ! [X50: '$world'] :
( street(X50,X42)
| ~ '$accessible_world'(X38,X50) ) )
& '$accessible_world'(X0,X38) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,plain,
~ ! [X0: '$world'] :
( ! [X1: '$world'] :
( '$accessible_world'(X0,X1)
=> ( ? [X2,X4,X3,X5] :
( ! [X11: '$world'] :
( '$accessible_world'(X1,X11)
=> in(X11,X2,X5) )
& ! [X19: '$world'] :
( '$accessible_world'(X1,X19)
=> lonely(X19,X3) )
& ! [X13: '$world'] :
( '$accessible_world'(X1,X13)
=> chevy(X13,X4) )
& ! [X7: '$world'] :
( '$accessible_world'(X1,X7)
=> hollywood(X7,X5) )
& ! [X10: '$world'] :
( '$accessible_world'(X1,X10)
=> dirty(X10,X4) )
& ! [X12: '$world'] :
( '$accessible_world'(X1,X12)
=> way(X12,X3) )
& ! [X9: '$world'] :
( '$accessible_world'(X1,X9)
=> old(X9,X4) )
& ! [X14: '$world'] :
( '$accessible_world'(X1,X14)
=> car(X14,X4) )
& ! [X17: '$world'] :
( '$accessible_world'(X1,X17)
=> white(X17,X4) )
& ! [X18: '$world'] :
( '$accessible_world'(X1,X18)
=> street(X18,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X1,X6)
=> event(X6,X2) )
& ! [X8: '$world'] :
( '$accessible_world'(X1,X8)
=> city(X8,X5) )
& ! [X16: '$world'] :
( '$accessible_world'(X1,X16)
=> down(X16,X2,X3) )
& ! [X15: '$world'] :
( '$accessible_world'(X1,X15)
=> barrel(X15,X2,X4) ) )
=> ? [X23,X22,X20,X21] :
( ! [X35: '$world'] :
( '$accessible_world'(X1,X35)
=> car(X35,X23) )
& ! [X37: '$world'] :
( '$accessible_world'(X1,X37)
=> lonely(X37,X20) )
& ! [X24: '$world'] :
( '$accessible_world'(X1,X24)
=> barrel(X24,X22,X23) )
& ! [X32: '$world'] :
( '$accessible_world'(X1,X32)
=> dirty(X32,X23) )
& ! [X34: '$world'] :
( '$accessible_world'(X1,X34)
=> in(X34,X22,X21) )
& ! [X25: '$world'] :
( '$accessible_world'(X1,X25)
=> hollywood(X25,X21) )
& ! [X26: '$world'] :
( '$accessible_world'(X1,X26)
=> old(X26,X23) )
& ! [X27: '$world'] :
( '$accessible_world'(X1,X27)
=> down(X27,X22,X20) )
& ! [X30: '$world'] :
( '$accessible_world'(X1,X30)
=> way(X30,X20) )
& ! [X31: '$world'] :
( '$accessible_world'(X1,X31)
=> event(X31,X22) )
& ! [X29: '$world'] :
( '$accessible_world'(X1,X29)
=> street(X29,X20) )
& ! [X33: '$world'] :
( '$accessible_world'(X1,X33)
=> city(X33,X21) )
& ! [X36: '$world'] :
( '$accessible_world'(X1,X36)
=> white(X36,X23) )
& ! [X28: '$world'] :
( '$accessible_world'(X1,X28)
=> chevy(X28,X23) ) ) ) )
& ! [X38: '$world'] :
( '$accessible_world'(X0,X38)
=> ( ? [X40,X39,X42,X41] :
( ! [X49: '$world'] :
( '$accessible_world'(X38,X49)
=> old(X49,X40) )
& ! [X55: '$world'] :
( '$accessible_world'(X38,X55)
=> lonely(X55,X42) )
& ! [X45: '$world'] :
( '$accessible_world'(X38,X45)
=> barrel(X45,X39,X40) )
& ! [X53: '$world'] :
( '$accessible_world'(X38,X53)
=> white(X53,X40) )
& ! [X47: '$world'] :
( '$accessible_world'(X38,X47)
=> in(X47,X39,X41) )
& ! [X54: '$world'] :
( '$accessible_world'(X38,X54)
=> chevy(X54,X40) )
& ! [X46: '$world'] :
( '$accessible_world'(X38,X46)
=> car(X46,X40) )
& ! [X48: '$world'] :
( '$accessible_world'(X38,X48)
=> way(X48,X42) )
& ! [X43: '$world'] :
( '$accessible_world'(X38,X43)
=> event(X43,X39) )
& ! [X51: '$world'] :
( '$accessible_world'(X38,X51)
=> hollywood(X51,X41) )
& ! [X50: '$world'] :
( '$accessible_world'(X38,X50)
=> street(X50,X42) )
& ! [X56: '$world'] :
( '$accessible_world'(X38,X56)
=> dirty(X56,X40) )
& ! [X44: '$world'] :
( '$accessible_world'(X38,X44)
=> city(X44,X41) )
& ! [X52: '$world'] :
( '$accessible_world'(X38,X52)
=> down(X52,X39,X42) ) )
=> ? [X58,X60,X59,X57] :
( ! [X67: '$world'] :
( '$accessible_world'(X38,X67)
=> city(X67,X60) )
& ! [X72: '$world'] :
( '$accessible_world'(X38,X72)
=> white(X72,X58) )
& ! [X70: '$world'] :
( '$accessible_world'(X38,X70)
=> chevy(X70,X58) )
& ! [X73: '$world'] :
( '$accessible_world'(X38,X73)
=> hollywood(X73,X60) )
& ! [X63: '$world'] :
( '$accessible_world'(X38,X63)
=> street(X63,X57) )
& ! [X64: '$world'] :
( '$accessible_world'(X38,X64)
=> barrel(X64,X59,X58) )
& ! [X66: '$world'] :
( '$accessible_world'(X38,X66)
=> in(X66,X59,X60) )
& ! [X62: '$world'] :
( '$accessible_world'(X38,X62)
=> old(X62,X58) )
& ! [X61: '$world'] :
( '$accessible_world'(X38,X61)
=> lonely(X61,X57) )
& ! [X68: '$world'] :
( '$accessible_world'(X38,X68)
=> way(X68,X57) )
& ! [X71: '$world'] :
( '$accessible_world'(X38,X71)
=> event(X71,X59) )
& ! [X65: '$world'] :
( '$accessible_world'(X38,X65)
=> dirty(X65,X58) )
& ! [X74: '$world'] :
( '$accessible_world'(X38,X74)
=> car(X74,X58) )
& ! [X69: '$world'] :
( '$accessible_world'(X38,X69)
=> down(X69,X59,X57) ) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ! [X0: '$world'] :
( ! [X2: '$world'] :
( '$accessible_world'(X0,X2)
=> ( ? [X1,X4,X5,X3] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X1) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X1,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X4) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X1,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X1,X4) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X4) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X4) ) )
=> ? [X10,X7,X8,X9] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X8,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X7) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X8,X10) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X10) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X10) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X8) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X7) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X8,X7) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X10) ) ) ) )
& ! [X2: '$world'] :
( '$accessible_world'(X0,X2)
=> ( ? [X12,X13,X11,X14] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X12) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X11) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X12,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X12,X11) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X11) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X12,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X13) ) )
=> ? [X17,X18,X16,X15] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X16,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X16,X15) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X15) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X16,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X16) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X15) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X18) ) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
! [X0: '$world'] :
( ! [X2: '$world'] :
( '$accessible_world'(X0,X2)
=> ( ? [X1,X4,X5,X3] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X1) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X1,X3) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X4) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X1,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X1,X4) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X5) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X4) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X4) ) )
=> ? [X10,X7,X8,X9] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X8,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X7) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X8,X10) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X10) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X10) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X8) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X7) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X8,X7) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X9) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X10) ) ) ) )
& ! [X2: '$world'] :
( '$accessible_world'(X0,X2)
=> ( ? [X12,X13,X11,X14] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X12) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X11) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X12,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X12,X11) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X11) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X12,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X13) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X14) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X13) ) )
=> ? [X17,X18,X16,X15] :
( ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> lonely(X6,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> old(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> street(X6,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> barrel(X6,X16,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> dirty(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> in(X6,X16,X15) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> city(X6,X15) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> way(X6,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> down(X6,X16,X17) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> chevy(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> event(X6,X16) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> white(X6,X18) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> hollywood(X6,X15) )
& ! [X6: '$world'] :
( '$accessible_world'(X2,X6)
=> car(X6,X18) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f324,plain,
( spl99_3
| spl99_2 ),
inference(avatar_split_clause,[],[f245,f316,f321]) ).
tff(f245,plain,
( sP26(sK64)
| sP25(sK65) ),
inference(cnf_transformation,[],[f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL945_9 : TPTP v8.2.0. Bugfixed v9.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 13 14:06:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (1274)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.49 % (1283)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (1294)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50 % (1277)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (1275)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (1295)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (1276)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (1278)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (1272)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (1296)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (1287)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (1289)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (1301)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (1291)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (1302)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (1281)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (1274)Instruction limit reached!
% 0.20/0.53 % (1274)------------------------------
% 0.20/0.53 % (1274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1274)Termination reason: Unknown
% 0.20/0.53 % (1274)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (1274)Memory used [KB]: 1407
% 0.20/0.53 % (1274)Time elapsed: 0.119 s
% 0.20/0.53 % (1274)Instructions burned: 37 (million)
% 0.20/0.53 % (1274)------------------------------
% 0.20/0.53 % (1274)------------------------------
% 0.20/0.53 % (1273)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (1290)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (1273)Refutation not found, incomplete strategy% (1273)------------------------------
% 0.20/0.53 % (1273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1276)Instruction limit reached!
% 0.20/0.53 % (1276)------------------------------
% 0.20/0.53 % (1276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1276)Termination reason: Unknown
% 0.20/0.53 % (1276)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (1276)Memory used [KB]: 6140
% 0.20/0.53 % (1276)Time elapsed: 0.123 s
% 0.20/0.53 % (1276)Instructions burned: 51 (million)
% 0.20/0.53 % (1276)------------------------------
% 0.20/0.53 % (1276)------------------------------
% 0.20/0.53 % (1280)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (1273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1273)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (1273)Memory used [KB]: 5756
% 0.20/0.53 % (1273)Time elapsed: 0.103 s
% 0.20/0.53 % (1273)Instructions burned: 7 (million)
% 0.20/0.53 % (1273)------------------------------
% 0.20/0.53 % (1273)------------------------------
% 0.20/0.53 % (1282)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (1299)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.54 % (1285)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (1286)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (1279)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (1298)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (1279)Instruction limit reached!
% 0.20/0.54 % (1279)------------------------------
% 0.20/0.54 % (1279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1279)Termination reason: Unknown
% 0.20/0.54 % (1279)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (1279)Memory used [KB]: 5628
% 0.20/0.54 % (1279)Time elapsed: 0.099 s
% 0.20/0.54 % (1279)Instructions burned: 7 (million)
% 0.20/0.54 % (1279)------------------------------
% 0.20/0.54 % (1279)------------------------------
% 0.20/0.54 % (1292)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (1288)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (1284)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (1293)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.55 % (1280)Instruction limit reached!
% 1.51/0.55 % (1280)------------------------------
% 1.51/0.55 % (1280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (1280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (1280)Termination reason: Unknown
% 1.51/0.55 % (1280)Termination phase: Preprocessing 3
% 1.51/0.55
% 1.51/0.55 % (1280)Memory used [KB]: 1023
% 1.51/0.55 % (1280)Time elapsed: 0.002 s
% 1.51/0.55 % (1280)Instructions burned: 2 (million)
% 1.51/0.55 % (1280)------------------------------
% 1.51/0.55 % (1280)------------------------------
% 1.51/0.55 TRYING [1]
% 1.51/0.55 % (1300)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.51/0.55 TRYING [2]
% 1.67/0.58 TRYING [1]
% 1.67/0.58 % (1278)Instruction limit reached!
% 1.67/0.58 % (1278)------------------------------
% 1.67/0.58 % (1278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (1278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (1278)Termination reason: Unknown
% 1.67/0.58 % (1278)Termination phase: Finite model building SAT solving
% 1.67/0.58
% 1.67/0.58 % (1278)Memory used [KB]: 6268
% 1.67/0.58 % (1278)Time elapsed: 0.157 s
% 1.67/0.58 % (1278)Instructions burned: 51 (million)
% 1.67/0.58 % (1278)------------------------------
% 1.67/0.58 % (1278)------------------------------
% 1.67/0.59 TRYING [2]
% 1.67/0.59 % (1277)Instruction limit reached!
% 1.67/0.59 % (1277)------------------------------
% 1.67/0.59 % (1277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (1277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (1277)Termination reason: Unknown
% 1.67/0.59 % (1277)Termination phase: Saturation
% 1.67/0.59
% 1.67/0.59 % (1277)Memory used [KB]: 6012
% 1.67/0.59 % (1277)Time elapsed: 0.164 s
% 1.67/0.59 % (1277)Instructions burned: 49 (million)
% 1.67/0.59 % (1277)------------------------------
% 1.67/0.59 % (1277)------------------------------
% 1.67/0.59 % (1275)Instruction limit reached!
% 1.67/0.59 % (1275)------------------------------
% 1.67/0.59 % (1275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (1275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (1275)Termination reason: Unknown
% 1.67/0.59 % (1275)Termination phase: Saturation
% 1.67/0.59
% 1.67/0.59 % (1275)Memory used [KB]: 5884
% 1.67/0.59 % (1275)Time elapsed: 0.183 s
% 1.67/0.59 % (1275)Instructions burned: 52 (million)
% 1.67/0.59 % (1275)------------------------------
% 1.67/0.59 % (1275)------------------------------
% 1.67/0.59 % (1281)Instruction limit reached!
% 1.67/0.59 % (1281)------------------------------
% 1.67/0.59 % (1281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (1281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (1281)Termination reason: Unknown
% 1.67/0.59 % (1281)Termination phase: Saturation
% 1.67/0.59
% 1.67/0.59 % (1281)Memory used [KB]: 1535
% 1.67/0.59 % (1281)Time elapsed: 0.198 s
% 1.67/0.59 % (1281)Instructions burned: 51 (million)
% 1.67/0.59 % (1281)------------------------------
% 1.67/0.59 % (1281)------------------------------
% 1.67/0.60 TRYING [3]
% 1.67/0.60 % (1283)Instruction limit reached!
% 1.67/0.60 % (1283)------------------------------
% 1.67/0.60 % (1283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (1289)Instruction limit reached!
% 1.67/0.61 % (1289)------------------------------
% 1.67/0.61 % (1289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (1289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (1289)Termination reason: Unknown
% 1.67/0.61 % (1289)Termination phase: Finite model building SAT solving
% 1.67/0.61
% 1.67/0.61 % (1289)Memory used [KB]: 6908
% 1.67/0.61 % (1289)Time elapsed: 0.198 s
% 1.67/0.61 % (1289)Instructions burned: 59 (million)
% 1.67/0.61 % (1289)------------------------------
% 1.67/0.61 % (1289)------------------------------
% 1.67/0.61 % (1283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (1283)Termination reason: Unknown
% 1.67/0.61 % (1283)Termination phase: Saturation
% 1.67/0.61
% 1.67/0.61 % (1283)Memory used [KB]: 6012
% 1.67/0.61 % (1283)Time elapsed: 0.214 s
% 1.67/0.61 % (1283)Instructions burned: 100 (million)
% 1.67/0.61 % (1283)------------------------------
% 1.67/0.61 % (1283)------------------------------
% 1.67/0.61 % (1286)Instruction limit reached!
% 1.67/0.61 % (1286)------------------------------
% 1.67/0.61 % (1286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.62 % (1282)Instruction limit reached!
% 1.67/0.62 % (1282)------------------------------
% 1.67/0.62 % (1282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.62 % (1299)Instruction limit reached!
% 1.67/0.62 % (1299)------------------------------
% 1.67/0.62 % (1299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (1287)Instruction limit reached!
% 2.17/0.63 % (1287)------------------------------
% 2.17/0.63 % (1287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (1286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (1286)Termination reason: Unknown
% 2.17/0.63 % (1286)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (1286)Memory used [KB]: 6652
% 2.17/0.63 % (1286)Time elapsed: 0.029 s
% 2.17/0.63 % (1286)Instructions burned: 71 (million)
% 2.17/0.63 % (1286)------------------------------
% 2.17/0.63 % (1286)------------------------------
% 2.17/0.63 % (1287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (1287)Termination reason: Unknown
% 2.17/0.63 % (1287)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (1287)Memory used [KB]: 1535
% 2.17/0.63 % (1287)Time elapsed: 0.212 s
% 2.17/0.63 % (1287)Instructions burned: 76 (million)
% 2.17/0.63 % (1287)------------------------------
% 2.17/0.63 % (1287)------------------------------
% 2.17/0.63 % (1282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (1282)Termination reason: Unknown
% 2.17/0.63 % (1282)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (1282)Memory used [KB]: 6140
% 2.17/0.63 % (1282)Time elapsed: 0.223 s
% 2.17/0.63 % (1282)Instructions burned: 50 (million)
% 2.17/0.63 % (1282)------------------------------
% 2.17/0.63 % (1282)------------------------------
% 2.17/0.63 % (1355)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.17/0.64 % (1299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64 % (1299)Termination reason: Unknown
% 2.17/0.64 % (1299)Termination phase: Saturation
% 2.17/0.64
% 2.17/0.64 % (1299)Memory used [KB]: 6524
% 2.17/0.64 % (1299)Time elapsed: 0.032 s
% 2.17/0.64 % (1299)Instructions burned: 68 (million)
% 2.17/0.64 % (1299)------------------------------
% 2.17/0.64 % (1299)------------------------------
% 2.17/0.64 % (1293)First to succeed.
% 2.35/0.66 % (1358)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.35/0.66 % (1357)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.35/0.67 % (1290)Instruction limit reached!
% 2.35/0.67 % (1290)------------------------------
% 2.35/0.67 % (1290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68 % (1290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68 % (1285)Instruction limit reached!
% 2.35/0.68 % (1285)------------------------------
% 2.35/0.68 % (1285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68 % (1290)Termination reason: Unknown
% 2.35/0.68 % (1290)Termination phase: Saturation
% 2.35/0.68
% 2.35/0.68 % (1290)Memory used [KB]: 6268
% 2.35/0.68 % (1290)Time elapsed: 0.218 s
% 2.35/0.68 % (1290)Instructions burned: 102 (million)
% 2.35/0.68 % (1290)------------------------------
% 2.35/0.68 % (1290)------------------------------
% 2.35/0.68 % (1285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68 % (1285)Termination reason: Unknown
% 2.35/0.68 % (1285)Termination phase: Saturation
% 2.35/0.68
% 2.35/0.68 % (1285)Memory used [KB]: 6140
% 2.35/0.68 % (1285)Time elapsed: 0.260 s
% 2.35/0.68 % (1285)Instructions burned: 99 (million)
% 2.35/0.68 % (1285)------------------------------
% 2.35/0.68 % (1285)------------------------------
% 2.35/0.68 % (1364)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/934Mi)
% 2.35/0.68 % (1360)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.35/0.69 % (1291)Instruction limit reached!
% 2.35/0.69 % (1291)------------------------------
% 2.35/0.69 % (1291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69 % (1284)Instruction limit reached!
% 2.35/0.69 % (1284)------------------------------
% 2.35/0.69 % (1284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69 % (1284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.69 % (1284)Termination reason: Unknown
% 2.35/0.69 % (1284)Termination phase: Saturation
% 2.35/0.69
% 2.35/0.69 % (1284)Memory used [KB]: 6396
% 2.35/0.69 % (1284)Time elapsed: 0.285 s
% 2.35/0.69 % (1284)Instructions burned: 101 (million)
% 2.35/0.69 % (1284)------------------------------
% 2.35/0.69 % (1284)------------------------------
% 2.35/0.69 % (1291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.69 % (1291)Termination reason: Unknown
% 2.35/0.69 % (1291)Termination phase: Saturation
% 2.35/0.69
% 2.35/0.69 % (1291)Memory used [KB]: 1918
% 2.35/0.69 % (1291)Time elapsed: 0.288 s
% 2.35/0.69 % (1291)Instructions burned: 100 (million)
% 2.35/0.69 % (1291)------------------------------
% 2.35/0.69 % (1291)------------------------------
% 2.35/0.70 % (1293)Refutation found. Thanks to Tanya!
% 2.35/0.70 % SZS status Theorem for theBenchmark
% 2.35/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.71 % (1293)------------------------------
% 2.35/0.71 % (1293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.71 % (1293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.71 % (1293)Termination reason: Refutation
% 2.35/0.71
% 2.35/0.71 % (1293)Memory used [KB]: 6780
% 2.35/0.71 % (1293)Time elapsed: 0.237 s
% 2.35/0.71 % (1293)Instructions burned: 69 (million)
% 2.35/0.71 % (1293)------------------------------
% 2.35/0.71 % (1293)------------------------------
% 2.35/0.71 % (1266)Success in time 0.345 s
%------------------------------------------------------------------------------
Problem from future release v9.0.0, problem and solutions unavailable