TSTP Solution File: SYN454+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN454+1 : TPTP v8.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 21 08:35:48 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 126
% Syntax : Number of formulae : 677 ( 1 unt; 0 def)
% Number of atoms : 5793 ( 0 equ)
% Maximal formula atoms : 576 ( 8 avg)
% Number of connectives : 7754 (2638 ~;3585 |;1074 &)
% ( 125 <=>; 332 =>; 0 <=; 0 <~>)
% Maximal formula depth : 97 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 161 ( 160 usr; 157 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 664 ( 664 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3220,plain,
$false,
inference(avatar_sat_refutation,[],[f256,f261,f279,f284,f293,f346,f353,f361,f365,f366,f371,f381,f383,f389,f393,f404,f415,f416,f417,f421,f422,f423,f427,f431,f436,f440,f441,f442,f446,f455,f463,f476,f489,f494,f499,f504,f542,f547,f552,f638,f643,f648,f649,f670,f675,f680,f686,f691,f696,f702,f707,f712,f718,f723,f728,f734,f739,f744,f750,f755,f760,f766,f771,f776,f782,f787,f792,f798,f803,f808,f814,f824,f830,f835,f840,f841,f846,f851,f856,f862,f867,f872,f878,f883,f888,f910,f915,f920,f921,f926,f931,f936,f942,f947,f952,f958,f963,f968,f979,f1054,f1058,f1065,f1067,f1074,f1092,f1104,f1157,f1218,f1232,f1235,f1300,f1313,f1342,f1433,f1473,f1553,f1590,f1599,f1604,f1738,f1754,f1791,f1812,f1981,f2010,f2114,f2179,f2200,f2229,f2278,f2294,f2309,f2315,f2342,f2344,f2374,f2392,f2417,f2463,f2533,f2566,f2572,f2615,f2641,f2674,f2724,f2784,f2805,f2806,f2831,f2879,f2896,f2900,f2905,f2913,f2931,f2934,f2954,f2957,f3021,f3073,f3076,f3078,f3207,f3209,f3213]) ).
fof(f3213,plain,
( ~ spl0_163
| ~ spl0_31
| spl0_90
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f3212,f640,f635,f348,f1439]) ).
fof(f1439,plain,
( spl0_163
<=> c1_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f348,plain,
( spl0_31
<=> ! [X7] :
( ~ c3_1(X7)
| c2_1(X7)
| ~ c1_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f635,plain,
( spl0_90
<=> c2_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f640,plain,
( spl0_91
<=> c3_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f3212,plain,
( ~ c1_1(a133)
| ~ spl0_31
| spl0_90
| ~ spl0_91 ),
inference(subsumption_resolution,[],[f3115,f637]) ).
fof(f637,plain,
( ~ c2_1(a133)
| spl0_90 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f3115,plain,
( c2_1(a133)
| ~ c1_1(a133)
| ~ spl0_31
| ~ spl0_91 ),
inference(resolution,[],[f349,f642]) ).
fof(f642,plain,
( c3_1(a133)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f349,plain,
( ! [X7] :
( ~ c3_1(X7)
| c2_1(X7)
| ~ c1_1(X7) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f3209,plain,
( ~ spl0_153
| ~ spl0_43
| spl0_111
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f3208,f757,f747,f402,f1051]) ).
fof(f1051,plain,
( spl0_153
<=> c2_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f402,plain,
( spl0_43
<=> ! [X27] :
( ~ c2_1(X27)
| c1_1(X27)
| ~ c0_1(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f747,plain,
( spl0_111
<=> c1_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f757,plain,
( spl0_113
<=> c0_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f3208,plain,
( ~ c2_1(a112)
| ~ spl0_43
| spl0_111
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f3168,f749]) ).
fof(f749,plain,
( ~ c1_1(a112)
| spl0_111 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f3168,plain,
( c1_1(a112)
| ~ c2_1(a112)
| ~ spl0_43
| ~ spl0_113 ),
inference(resolution,[],[f403,f759]) ).
fof(f759,plain,
( c0_1(a112)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f403,plain,
( ! [X27] :
( ~ c0_1(X27)
| c1_1(X27)
| ~ c2_1(X27) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f3207,plain,
( spl0_105
| ~ spl0_49
| ~ spl0_107
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f3206,f1702,f725,f429,f715]) ).
fof(f715,plain,
( spl0_105
<=> c0_1(a116) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f429,plain,
( spl0_49
<=> ! [X45] :
( ~ c2_1(X45)
| c0_1(X45)
| ~ c1_1(X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f725,plain,
( spl0_107
<=> c1_1(a116) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1702,plain,
( spl0_165
<=> c2_1(a116) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f3206,plain,
( c0_1(a116)
| ~ spl0_49
| ~ spl0_107
| ~ spl0_165 ),
inference(subsumption_resolution,[],[f3182,f727]) ).
fof(f727,plain,
( c1_1(a116)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f3182,plain,
( c0_1(a116)
| ~ c1_1(a116)
| ~ spl0_49
| ~ spl0_165 ),
inference(resolution,[],[f430,f1704]) ).
fof(f1704,plain,
( c2_1(a116)
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f430,plain,
( ! [X45] :
( ~ c2_1(X45)
| c0_1(X45)
| ~ c1_1(X45) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f3078,plain,
( spl0_163
| ~ spl0_44
| spl0_90
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f3077,f640,f635,f406,f1439]) ).
fof(f406,plain,
( spl0_44
<=> ! [X31] :
( ~ c3_1(X31)
| c1_1(X31)
| c2_1(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f3077,plain,
( c1_1(a133)
| ~ spl0_44
| spl0_90
| ~ spl0_91 ),
inference(subsumption_resolution,[],[f3065,f637]) ).
fof(f3065,plain,
( c1_1(a133)
| c2_1(a133)
| ~ spl0_44
| ~ spl0_91 ),
inference(resolution,[],[f407,f642]) ).
fof(f407,plain,
( ! [X31] :
( ~ c3_1(X31)
| c1_1(X31)
| c2_1(X31) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f3076,plain,
( ~ spl0_44
| spl0_111
| ~ spl0_112
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f3075]) ).
fof(f3075,plain,
( $false
| ~ spl0_44
| spl0_111
| ~ spl0_112
| spl0_153 ),
inference(subsumption_resolution,[],[f3074,f1053]) ).
fof(f1053,plain,
( ~ c2_1(a112)
| spl0_153 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f3074,plain,
( c2_1(a112)
| ~ spl0_44
| spl0_111
| ~ spl0_112 ),
inference(subsumption_resolution,[],[f3062,f749]) ).
fof(f3062,plain,
( c1_1(a112)
| c2_1(a112)
| ~ spl0_44
| ~ spl0_112 ),
inference(resolution,[],[f407,f754]) ).
fof(f754,plain,
( c3_1(a112)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl0_112
<=> c3_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3073,plain,
( ~ spl0_44
| spl0_135
| spl0_136
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f3072]) ).
fof(f3072,plain,
( $false
| ~ spl0_44
| spl0_135
| spl0_136
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f3071,f877]) ).
fof(f877,plain,
( ~ c2_1(a101)
| spl0_135 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl0_135
<=> c2_1(a101) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f3071,plain,
( c2_1(a101)
| ~ spl0_44
| spl0_136
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f3057,f882]) ).
fof(f882,plain,
( ~ c1_1(a101)
| spl0_136 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl0_136
<=> c1_1(a101) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f3057,plain,
( c1_1(a101)
| c2_1(a101)
| ~ spl0_44
| ~ spl0_137 ),
inference(resolution,[],[f407,f887]) ).
fof(f887,plain,
( c3_1(a101)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f885,plain,
( spl0_137
<=> c3_1(a101) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f3021,plain,
( ~ spl0_155
| ~ spl0_26
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f3020,f949,f944,f327,f1097]) ).
fof(f1097,plain,
( spl0_155
<=> c0_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f327,plain,
( spl0_26
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f944,plain,
( spl0_148
<=> c3_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f949,plain,
( spl0_149
<=> c2_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f3020,plain,
( ~ c0_1(a97)
| ~ spl0_26
| ~ spl0_148
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f3005,f951]) ).
fof(f951,plain,
( c2_1(a97)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f3005,plain,
( ~ c0_1(a97)
| ~ c2_1(a97)
| ~ spl0_26
| ~ spl0_148 ),
inference(resolution,[],[f328,f946]) ).
fof(f946,plain,
( c3_1(a97)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f328,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f2957,plain,
( ~ spl0_163
| ~ spl0_32
| ~ spl0_91
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2956,f645,f640,f351,f1439]) ).
fof(f351,plain,
( spl0_32
<=> ! [X6] :
( ~ c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f645,plain,
( spl0_92
<=> c0_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f2956,plain,
( ~ c1_1(a133)
| ~ spl0_32
| ~ spl0_91
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f2955,f647]) ).
fof(f647,plain,
( c0_1(a133)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f2955,plain,
( ~ c0_1(a133)
| ~ c1_1(a133)
| ~ spl0_32
| ~ spl0_91 ),
inference(resolution,[],[f642,f352]) ).
fof(f352,plain,
( ! [X6] :
( ~ c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f2954,plain,
( ~ spl0_156
| ~ spl0_32
| ~ spl0_63
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2953,f501,f491,f351,f1108]) ).
fof(f1108,plain,
( spl0_156
<=> c0_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f491,plain,
( spl0_63
<=> c3_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f501,plain,
( spl0_65
<=> c1_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2953,plain,
( ~ c0_1(a165)
| ~ spl0_32
| ~ spl0_63
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f2952,f503]) ).
fof(f503,plain,
( c1_1(a165)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f2952,plain,
( ~ c0_1(a165)
| ~ c1_1(a165)
| ~ spl0_32
| ~ spl0_63 ),
inference(resolution,[],[f493,f352]) ).
fof(f493,plain,
( c3_1(a165)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f2934,plain,
( ~ spl0_33
| spl0_102
| spl0_103
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f2933]) ).
fof(f2933,plain,
( $false
| ~ spl0_33
| spl0_102
| spl0_103
| ~ spl0_104 ),
inference(subsumption_resolution,[],[f2932,f701]) ).
fof(f701,plain,
( ~ c3_1(a118)
| spl0_102 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl0_102
<=> c3_1(a118) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f2932,plain,
( c3_1(a118)
| ~ spl0_33
| spl0_103
| ~ spl0_104 ),
inference(subsumption_resolution,[],[f2922,f706]) ).
fof(f706,plain,
( ~ c2_1(a118)
| spl0_103 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl0_103
<=> c2_1(a118) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f2922,plain,
( c2_1(a118)
| c3_1(a118)
| ~ spl0_33
| ~ spl0_104 ),
inference(resolution,[],[f356,f711]) ).
fof(f711,plain,
( c1_1(a118)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl0_104
<=> c1_1(a118) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f356,plain,
( ! [X10] :
( ~ c1_1(X10)
| c2_1(X10)
| c3_1(X10) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl0_33
<=> ! [X10] :
( ~ c1_1(X10)
| c2_1(X10)
| c3_1(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2931,plain,
( ~ spl0_33
| spl0_108
| spl0_109
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f2930]) ).
fof(f2930,plain,
( $false
| ~ spl0_33
| spl0_108
| spl0_109
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f2929,f733]) ).
fof(f733,plain,
( ~ c3_1(a115)
| spl0_108 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl0_108
<=> c3_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2929,plain,
( c3_1(a115)
| ~ spl0_33
| spl0_109
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f2920,f738]) ).
fof(f738,plain,
( ~ c2_1(a115)
| spl0_109 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl0_109
<=> c2_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2920,plain,
( c2_1(a115)
| c3_1(a115)
| ~ spl0_33
| ~ spl0_166 ),
inference(resolution,[],[f356,f1758]) ).
fof(f1758,plain,
( c1_1(a115)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1756,plain,
( spl0_166
<=> c1_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f2913,plain,
( spl0_155
| ~ spl0_54
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2912,f949,f944,f453,f1097]) ).
fof(f453,plain,
( spl0_54
<=> ! [X67] :
( ~ c3_1(X67)
| c0_1(X67)
| ~ c2_1(X67) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f2912,plain,
( c0_1(a97)
| ~ spl0_54
| ~ spl0_148
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f2703,f951]) ).
fof(f2703,plain,
( c0_1(a97)
| ~ c2_1(a97)
| ~ spl0_54
| ~ spl0_148 ),
inference(resolution,[],[f454,f946]) ).
fof(f454,plain,
( ! [X67] :
( ~ c3_1(X67)
| c0_1(X67)
| ~ c2_1(X67) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f2905,plain,
( spl0_165
| ~ spl0_31
| ~ spl0_106
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2904,f725,f720,f348,f1702]) ).
fof(f720,plain,
( spl0_106
<=> c3_1(a116) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f2904,plain,
( c2_1(a116)
| ~ spl0_31
| ~ spl0_106
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f2902,f727]) ).
fof(f2902,plain,
( c2_1(a116)
| ~ c1_1(a116)
| ~ spl0_31
| ~ spl0_106 ),
inference(resolution,[],[f722,f349]) ).
fof(f722,plain,
( c3_1(a116)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f2900,plain,
( ~ spl0_46
| spl0_90
| ~ spl0_91
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f2899]) ).
fof(f2899,plain,
( $false
| ~ spl0_46
| spl0_90
| ~ spl0_91
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f2898,f647]) ).
fof(f2898,plain,
( ~ c0_1(a133)
| ~ spl0_46
| spl0_90
| ~ spl0_91 ),
inference(subsumption_resolution,[],[f2891,f637]) ).
fof(f2891,plain,
( c2_1(a133)
| ~ c0_1(a133)
| ~ spl0_46
| ~ spl0_91 ),
inference(resolution,[],[f414,f642]) ).
fof(f414,plain,
( ! [X32] :
( ~ c3_1(X32)
| c2_1(X32)
| ~ c0_1(X32) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl0_46
<=> ! [X32] :
( ~ c3_1(X32)
| c2_1(X32)
| ~ c0_1(X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2896,plain,
( spl0_45
| ~ spl0_46
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2894,f419,f413,f410]) ).
fof(f410,plain,
( spl0_45
<=> ! [X33] :
( ~ c0_1(X33)
| c1_1(X33)
| c2_1(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f419,plain,
( spl0_47
<=> ! [X39] :
( c3_1(X39)
| c1_1(X39)
| c2_1(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2894,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_46
| ~ spl0_47 ),
inference(duplicate_literal_removal,[],[f2883]) ).
fof(f2883,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) )
| ~ spl0_46
| ~ spl0_47 ),
inference(resolution,[],[f414,f420]) ).
fof(f420,plain,
( ! [X39] :
( c3_1(X39)
| c1_1(X39)
| c2_1(X39) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f2879,plain,
( ~ spl0_64
| spl0_156
| ~ spl0_54
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f2713,f491,f453,f1108,f496]) ).
fof(f496,plain,
( spl0_64
<=> c2_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f2713,plain,
( c0_1(a165)
| ~ c2_1(a165)
| ~ spl0_54
| ~ spl0_63 ),
inference(resolution,[],[f454,f493]) ).
fof(f2831,plain,
( ~ spl0_30
| spl0_109
| ~ spl0_110
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2830,plain,
( $false
| ~ spl0_30
| spl0_109
| ~ spl0_110
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f2829,f743]) ).
fof(f743,plain,
( c0_1(a115)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl0_110
<=> c0_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f2829,plain,
( ~ c0_1(a115)
| ~ spl0_30
| spl0_109
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f2818,f738]) ).
fof(f2818,plain,
( c2_1(a115)
| ~ c0_1(a115)
| ~ spl0_30
| ~ spl0_166 ),
inference(resolution,[],[f345,f1758]) ).
fof(f345,plain,
( ! [X5] :
( ~ c1_1(X5)
| c2_1(X5)
| ~ c0_1(X5) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl0_30
<=> ! [X5] :
( ~ c1_1(X5)
| c2_1(X5)
| ~ c0_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2806,plain,
( ~ spl0_158
| spl0_118
| ~ spl0_49
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2686,f789,f429,f784,f1184]) ).
fof(f1184,plain,
( spl0_158
<=> c1_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f784,plain,
( spl0_118
<=> c0_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f789,plain,
( spl0_119
<=> c2_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2686,plain,
( c0_1(a109)
| ~ c1_1(a109)
| ~ spl0_49
| ~ spl0_119 ),
inference(resolution,[],[f430,f791]) ).
fof(f791,plain,
( c2_1(a109)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f2805,plain,
( spl0_158
| ~ spl0_41
| ~ spl0_47
| spl0_117 ),
inference(avatar_split_clause,[],[f2794,f779,f419,f395,f1184]) ).
fof(f395,plain,
( spl0_41
<=> ! [X26] :
( ~ c2_1(X26)
| c1_1(X26)
| c3_1(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f779,plain,
( spl0_117
<=> c3_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2794,plain,
( c1_1(a109)
| ~ spl0_41
| ~ spl0_47
| spl0_117 ),
inference(resolution,[],[f2787,f781]) ).
fof(f781,plain,
( ~ c3_1(a109)
| spl0_117 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f2787,plain,
( ! [X26] :
( c3_1(X26)
| c1_1(X26) )
| ~ spl0_41
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f396,f420]) ).
fof(f396,plain,
( ! [X26] :
( ~ c2_1(X26)
| c1_1(X26)
| c3_1(X26) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f2784,plain,
( ~ spl0_45
| ~ spl0_61
| spl0_135
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f2783]) ).
fof(f2783,plain,
( $false
| ~ spl0_45
| ~ spl0_61
| spl0_135
| spl0_136 ),
inference(subsumption_resolution,[],[f2775,f882]) ).
fof(f2775,plain,
( c1_1(a101)
| ~ spl0_45
| ~ spl0_61
| spl0_135 ),
inference(resolution,[],[f2771,f877]) ).
fof(f2771,plain,
( ! [X79] :
( c2_1(X79)
| c1_1(X79) )
| ~ spl0_45
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f483,f411]) ).
fof(f411,plain,
( ! [X33] :
( ~ c0_1(X33)
| c1_1(X33)
| c2_1(X33) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f483,plain,
( ! [X79] :
( c2_1(X79)
| c0_1(X79)
| c1_1(X79) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl0_61
<=> ! [X79] :
( c2_1(X79)
| c0_1(X79)
| c1_1(X79) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2724,plain,
( spl0_114
| ~ spl0_54
| ~ spl0_115
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f2723,f773,f768,f453,f763]) ).
fof(f763,plain,
( spl0_114
<=> c0_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f768,plain,
( spl0_115
<=> c3_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f773,plain,
( spl0_116
<=> c2_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2723,plain,
( c0_1(a110)
| ~ spl0_54
| ~ spl0_115
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f2708,f775]) ).
fof(f775,plain,
( c2_1(a110)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f2708,plain,
( c0_1(a110)
| ~ c2_1(a110)
| ~ spl0_54
| ~ spl0_115 ),
inference(resolution,[],[f454,f770]) ).
fof(f770,plain,
( c3_1(a110)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f2674,plain,
( ~ spl0_40
| ~ spl0_42
| spl0_96
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f2673]) ).
fof(f2673,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| spl0_96
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f2657,f669]) ).
fof(f669,plain,
( ~ c3_1(a125)
| spl0_96 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl0_96
<=> c3_1(a125) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f2657,plain,
( c3_1(a125)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_98 ),
inference(resolution,[],[f2587,f679]) ).
fof(f679,plain,
( c0_1(a125)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f677,plain,
( spl0_98
<=> c0_1(a125) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f2587,plain,
( ! [X23] :
( ~ c0_1(X23)
| c3_1(X23) )
| ~ spl0_40
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f392,f400]) ).
fof(f400,plain,
( ! [X28] :
( ~ c0_1(X28)
| c1_1(X28)
| c3_1(X28) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl0_42
<=> ! [X28] :
( ~ c0_1(X28)
| c1_1(X28)
| c3_1(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f392,plain,
( ! [X23] :
( ~ c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl0_40
<=> ! [X23] :
( ~ c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f2641,plain,
( ~ spl0_51
| ~ spl0_54
| spl0_118
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f2640]) ).
fof(f2640,plain,
( $false
| ~ spl0_51
| ~ spl0_54
| spl0_118
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f2630,f791]) ).
fof(f2630,plain,
( ~ c2_1(a109)
| ~ spl0_51
| ~ spl0_54
| spl0_118 ),
inference(resolution,[],[f2586,f786]) ).
fof(f786,plain,
( ~ c0_1(a109)
| spl0_118 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2586,plain,
( ! [X67] :
( c0_1(X67)
| ~ c2_1(X67) )
| ~ spl0_51
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f454,f439]) ).
fof(f439,plain,
( ! [X52] :
( ~ c2_1(X52)
| c0_1(X52)
| c3_1(X52) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl0_51
<=> ! [X52] :
( ~ c2_1(X52)
| c0_1(X52)
| c3_1(X52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f2615,plain,
( ~ spl0_42
| ~ spl0_51
| spl0_141
| spl0_142
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2614]) ).
fof(f2614,plain,
( $false
| ~ spl0_42
| ~ spl0_51
| spl0_141
| spl0_142
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2613,f909]) ).
fof(f909,plain,
( ~ c3_1(a99)
| spl0_141 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f907,plain,
( spl0_141
<=> c3_1(a99) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f2613,plain,
( c3_1(a99)
| ~ spl0_42
| ~ spl0_51
| spl0_141
| spl0_142
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2612,f914]) ).
fof(f914,plain,
( ~ c1_1(a99)
| spl0_142 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl0_142
<=> c1_1(a99) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f2612,plain,
( c1_1(a99)
| c3_1(a99)
| ~ spl0_42
| ~ spl0_51
| spl0_141
| ~ spl0_143 ),
inference(resolution,[],[f2489,f400]) ).
fof(f2489,plain,
( c0_1(a99)
| ~ spl0_51
| spl0_141
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2475,f909]) ).
fof(f2475,plain,
( c0_1(a99)
| c3_1(a99)
| ~ spl0_51
| ~ spl0_143 ),
inference(resolution,[],[f439,f919]) ).
fof(f919,plain,
( c2_1(a99)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl0_143
<=> c2_1(a99) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f2572,plain,
( ~ spl0_55
| spl0_120
| ~ spl0_122
| spl0_167 ),
inference(avatar_contradiction_clause,[],[f2571]) ).
fof(f2571,plain,
( $false
| ~ spl0_55
| spl0_120
| ~ spl0_122
| spl0_167 ),
inference(subsumption_resolution,[],[f2570,f797]) ).
fof(f797,plain,
( ~ c2_1(a106)
| spl0_120 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f795,plain,
( spl0_120
<=> c2_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f2570,plain,
( c2_1(a106)
| ~ spl0_55
| ~ spl0_122
| spl0_167 ),
inference(subsumption_resolution,[],[f2548,f807]) ).
fof(f807,plain,
( c1_1(a106)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl0_122
<=> c1_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2548,plain,
( ~ c1_1(a106)
| c2_1(a106)
| ~ spl0_55
| spl0_167 ),
inference(resolution,[],[f458,f1789]) ).
fof(f1789,plain,
( ~ c0_1(a106)
| spl0_167 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1788,plain,
( spl0_167
<=> c0_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f458,plain,
( ! [X70] :
( c0_1(X70)
| ~ c1_1(X70)
| c2_1(X70) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl0_55
<=> ! [X70] :
( ~ c1_1(X70)
| c0_1(X70)
| c2_1(X70) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2566,plain,
( ~ spl0_55
| spl0_145
| ~ spl0_146
| spl0_160 ),
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2565,plain,
( $false
| ~ spl0_55
| spl0_145
| ~ spl0_146
| spl0_160 ),
inference(subsumption_resolution,[],[f2564,f1308]) ).
fof(f1308,plain,
( ~ c2_1(a98)
| spl0_160 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1307,plain,
( spl0_160
<=> c2_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f2564,plain,
( c2_1(a98)
| ~ spl0_55
| spl0_145
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f2544,f935]) ).
fof(f935,plain,
( c1_1(a98)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl0_146
<=> c1_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f2544,plain,
( ~ c1_1(a98)
| c2_1(a98)
| ~ spl0_55
| spl0_145 ),
inference(resolution,[],[f458,f930]) ).
fof(f930,plain,
( ~ c0_1(a98)
| spl0_145 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl0_145
<=> c0_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f2533,plain,
( ~ spl0_52
| spl0_126
| spl0_128
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f2532]) ).
fof(f2532,plain,
( $false
| ~ spl0_52
| spl0_126
| spl0_128
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f2531,f829]) ).
fof(f829,plain,
( ~ c3_1(a104)
| spl0_126 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl0_126
<=> c3_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f2531,plain,
( c3_1(a104)
| ~ spl0_52
| spl0_128
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f2515,f1603]) ).
fof(f1603,plain,
( c1_1(a104)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1601,plain,
( spl0_164
<=> c1_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f2515,plain,
( ~ c1_1(a104)
| c3_1(a104)
| ~ spl0_52
| spl0_128 ),
inference(resolution,[],[f445,f839]) ).
fof(f839,plain,
( ~ c0_1(a104)
| spl0_128 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f837,plain,
( spl0_128
<=> c0_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f445,plain,
( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| c3_1(X61) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl0_52
<=> ! [X61] :
( ~ c1_1(X61)
| c0_1(X61)
| c3_1(X61) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f2463,plain,
( ~ spl0_50
| ~ spl0_72
| ~ spl0_73
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2462,plain,
( $false
| ~ spl0_50
| ~ spl0_72
| ~ spl0_73
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f2461,f546]) ).
fof(f546,plain,
( c1_1(a94)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl0_73
<=> c1_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f2461,plain,
( ~ c1_1(a94)
| ~ spl0_50
| ~ spl0_72
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f2439,f541]) ).
fof(f541,plain,
( c2_1(a94)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl0_72
<=> c2_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2439,plain,
( ~ c2_1(a94)
| ~ c1_1(a94)
| ~ spl0_50
| ~ spl0_74 ),
inference(resolution,[],[f435,f551]) ).
fof(f551,plain,
( c0_1(a94)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl0_74
<=> c0_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f435,plain,
( ! [X48] :
( ~ c0_1(X48)
| ~ c2_1(X48)
| ~ c1_1(X48) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl0_50
<=> ! [X48] :
( ~ c2_1(X48)
| ~ c0_1(X48)
| ~ c1_1(X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2417,plain,
( spl0_154
| ~ spl0_35
| spl0_96
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f2416,f677,f667,f363,f1062]) ).
fof(f1062,plain,
( spl0_154
<=> c2_1(a125) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f363,plain,
( spl0_35
<=> ! [X11] :
( ~ c0_1(X11)
| c2_1(X11)
| c3_1(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2416,plain,
( c2_1(a125)
| ~ spl0_35
| spl0_96
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f2400,f669]) ).
fof(f2400,plain,
( c2_1(a125)
| c3_1(a125)
| ~ spl0_35
| ~ spl0_98 ),
inference(resolution,[],[f364,f679]) ).
fof(f364,plain,
( ! [X11] :
( ~ c0_1(X11)
| c2_1(X11)
| c3_1(X11) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f2392,plain,
( spl0_130
| ~ spl0_47
| spl0_129
| spl0_170 ),
inference(avatar_split_clause,[],[f2391,f2152,f843,f419,f848]) ).
fof(f848,plain,
( spl0_130
<=> c1_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f843,plain,
( spl0_129
<=> c3_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2152,plain,
( spl0_170
<=> c2_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f2391,plain,
( c1_1(a103)
| ~ spl0_47
| spl0_129
| spl0_170 ),
inference(subsumption_resolution,[],[f2390,f2153]) ).
fof(f2153,plain,
( ~ c2_1(a103)
| spl0_170 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f2390,plain,
( c1_1(a103)
| c2_1(a103)
| ~ spl0_47
| spl0_129 ),
inference(resolution,[],[f845,f420]) ).
fof(f845,plain,
( ~ c3_1(a103)
| spl0_129 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f2374,plain,
( spl0_129
| spl0_130
| ~ spl0_42
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2237,f853,f399,f848,f843]) ).
fof(f853,plain,
( spl0_131
<=> c0_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2237,plain,
( c1_1(a103)
| c3_1(a103)
| ~ spl0_42
| ~ spl0_131 ),
inference(resolution,[],[f400,f855]) ).
fof(f855,plain,
( c0_1(a103)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f2344,plain,
( spl0_109
| spl0_166
| ~ spl0_47
| spl0_108 ),
inference(avatar_split_clause,[],[f2343,f731,f419,f1756,f736]) ).
fof(f2343,plain,
( c1_1(a115)
| c2_1(a115)
| ~ spl0_47
| spl0_108 ),
inference(resolution,[],[f733,f420]) ).
fof(f2342,plain,
( spl0_108
| spl0_166
| ~ spl0_42
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f2239,f741,f399,f1756,f731]) ).
fof(f2239,plain,
( c1_1(a115)
| c3_1(a115)
| ~ spl0_42
| ~ spl0_110 ),
inference(resolution,[],[f400,f743]) ).
fof(f2315,plain,
( ~ spl0_45
| spl0_90
| ~ spl0_92
| spl0_163 ),
inference(avatar_contradiction_clause,[],[f2314]) ).
fof(f2314,plain,
( $false
| ~ spl0_45
| spl0_90
| ~ spl0_92
| spl0_163 ),
inference(subsumption_resolution,[],[f2313,f637]) ).
fof(f2313,plain,
( c2_1(a133)
| ~ spl0_45
| ~ spl0_92
| spl0_163 ),
inference(subsumption_resolution,[],[f2304,f1440]) ).
fof(f1440,plain,
( ~ c1_1(a133)
| spl0_163 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f2304,plain,
( c1_1(a133)
| c2_1(a133)
| ~ spl0_45
| ~ spl0_92 ),
inference(resolution,[],[f411,f647]) ).
fof(f2309,plain,
( ~ spl0_45
| spl0_135
| spl0_136
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2308,plain,
( $false
| ~ spl0_45
| spl0_135
| spl0_136
| ~ spl0_162 ),
inference(subsumption_resolution,[],[f2307,f877]) ).
fof(f2307,plain,
( c2_1(a101)
| ~ spl0_45
| spl0_136
| ~ spl0_162 ),
inference(subsumption_resolution,[],[f2298,f882]) ).
fof(f2298,plain,
( c1_1(a101)
| c2_1(a101)
| ~ spl0_45
| ~ spl0_162 ),
inference(resolution,[],[f411,f1419]) ).
fof(f1419,plain,
( c0_1(a101)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1418,plain,
( spl0_162
<=> c0_1(a101) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f2294,plain,
( ~ spl0_43
| ~ spl0_45
| spl0_130
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
fof(f2293,plain,
( $false
| ~ spl0_43
| ~ spl0_45
| spl0_130
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f2284,f850]) ).
fof(f850,plain,
( ~ c1_1(a103)
| spl0_130 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f2284,plain,
( c1_1(a103)
| ~ spl0_43
| ~ spl0_45
| ~ spl0_131 ),
inference(resolution,[],[f2280,f855]) ).
fof(f2280,plain,
( ! [X33] :
( ~ c0_1(X33)
| c1_1(X33) )
| ~ spl0_43
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f411,f403]) ).
fof(f2278,plain,
( ~ spl0_170
| ~ spl0_43
| spl0_130
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2277,f853,f848,f402,f2152]) ).
fof(f2277,plain,
( ~ c2_1(a103)
| ~ spl0_43
| spl0_130
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f2270,f850]) ).
fof(f2270,plain,
( c1_1(a103)
| ~ c2_1(a103)
| ~ spl0_43
| ~ spl0_131 ),
inference(resolution,[],[f403,f855]) ).
fof(f2229,plain,
( ~ spl0_167
| ~ spl0_32
| ~ spl0_121
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2228,f805,f800,f351,f1788]) ).
fof(f800,plain,
( spl0_121
<=> c3_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f2228,plain,
( ~ c0_1(a106)
| ~ spl0_32
| ~ spl0_121
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f2221,f807]) ).
fof(f2221,plain,
( ~ c0_1(a106)
| ~ c1_1(a106)
| ~ spl0_32
| ~ spl0_121 ),
inference(resolution,[],[f352,f802]) ).
fof(f802,plain,
( c3_1(a106)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f2200,plain,
( ~ spl0_167
| ~ spl0_30
| spl0_120
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2199,f805,f795,f344,f1788]) ).
fof(f2199,plain,
( ~ c0_1(a106)
| ~ spl0_30
| spl0_120
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f2186,f797]) ).
fof(f2186,plain,
( c2_1(a106)
| ~ c0_1(a106)
| ~ spl0_30
| ~ spl0_122 ),
inference(resolution,[],[f345,f807]) ).
fof(f2179,plain,
( ~ spl0_156
| ~ spl0_26
| ~ spl0_63
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f2178,f496,f491,f327,f1108]) ).
fof(f2178,plain,
( ~ c0_1(a165)
| ~ spl0_26
| ~ spl0_63
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f2177,f498]) ).
fof(f498,plain,
( c2_1(a165)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f2177,plain,
( ~ c0_1(a165)
| ~ c2_1(a165)
| ~ spl0_26
| ~ spl0_63 ),
inference(resolution,[],[f328,f493]) ).
fof(f2114,plain,
( ~ spl0_49
| ~ spl0_59
| spl0_118
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2113,plain,
( $false
| ~ spl0_49
| ~ spl0_59
| spl0_118
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f2104,f786]) ).
fof(f2104,plain,
( c0_1(a109)
| ~ spl0_49
| ~ spl0_59
| ~ spl0_119 ),
inference(resolution,[],[f2099,f791]) ).
fof(f2099,plain,
( ! [X76] :
( ~ c2_1(X76)
| c0_1(X76) )
| ~ spl0_49
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f475,f430]) ).
fof(f475,plain,
( ! [X76] :
( ~ c2_1(X76)
| c0_1(X76)
| c1_1(X76) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl0_59
<=> ! [X76] :
( ~ c2_1(X76)
| c0_1(X76)
| c1_1(X76) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2010,plain,
( spl0_156
| ~ spl0_49
| ~ spl0_64
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2009,f501,f496,f429,f1108]) ).
fof(f2009,plain,
( c0_1(a165)
| ~ spl0_49
| ~ spl0_64
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f2004,f503]) ).
fof(f2004,plain,
( c0_1(a165)
| ~ c1_1(a165)
| ~ spl0_49
| ~ spl0_64 ),
inference(resolution,[],[f430,f498]) ).
fof(f1981,plain,
( ~ spl0_33
| ~ spl0_47
| ~ spl0_51
| spl0_144
| spl0_145 ),
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f1980,plain,
( $false
| ~ spl0_33
| ~ spl0_47
| ~ spl0_51
| spl0_144
| spl0_145 ),
inference(subsumption_resolution,[],[f1969,f925]) ).
fof(f925,plain,
( ~ c3_1(a98)
| spl0_144 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f923,plain,
( spl0_144
<=> c3_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1969,plain,
( c3_1(a98)
| ~ spl0_33
| ~ spl0_47
| ~ spl0_51
| spl0_145 ),
inference(resolution,[],[f1964,f930]) ).
fof(f1964,plain,
( ! [X52] :
( c0_1(X52)
| c3_1(X52) )
| ~ spl0_33
| ~ spl0_47
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f439,f1849]) ).
fof(f1849,plain,
( ! [X10] :
( c3_1(X10)
| c2_1(X10) )
| ~ spl0_33
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f356,f420]) ).
fof(f1812,plain,
( ~ spl0_65
| spl0_156
| ~ spl0_48
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1576,f491,f425,f1108,f501]) ).
fof(f425,plain,
( spl0_48
<=> ! [X44] :
( ~ c3_1(X44)
| c0_1(X44)
| ~ c1_1(X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1576,plain,
( c0_1(a165)
| ~ c1_1(a165)
| ~ spl0_48
| ~ spl0_63 ),
inference(resolution,[],[f426,f493]) ).
fof(f426,plain,
( ! [X44] :
( ~ c3_1(X44)
| c0_1(X44)
| ~ c1_1(X44) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f1791,plain,
( ~ spl0_122
| spl0_167
| ~ spl0_48
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1568,f800,f425,f1788,f805]) ).
fof(f1568,plain,
( c0_1(a106)
| ~ c1_1(a106)
| ~ spl0_48
| ~ spl0_121 ),
inference(resolution,[],[f426,f802]) ).
fof(f1754,plain,
( ~ spl0_92
| spl0_90
| ~ spl0_30
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1631,f1439,f344,f635,f645]) ).
fof(f1631,plain,
( c2_1(a133)
| ~ c0_1(a133)
| ~ spl0_30
| ~ spl0_163 ),
inference(resolution,[],[f345,f1441]) ).
fof(f1441,plain,
( c1_1(a133)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1738,plain,
( ~ spl0_53
| spl0_135
| ~ spl0_137
| spl0_162 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
fof(f1737,plain,
( $false
| ~ spl0_53
| spl0_135
| ~ spl0_137
| spl0_162 ),
inference(subsumption_resolution,[],[f1736,f877]) ).
fof(f1736,plain,
( c2_1(a101)
| ~ spl0_53
| ~ spl0_137
| spl0_162 ),
inference(subsumption_resolution,[],[f1726,f1420]) ).
fof(f1420,plain,
( ~ c0_1(a101)
| spl0_162 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1726,plain,
( c0_1(a101)
| c2_1(a101)
| ~ spl0_53
| ~ spl0_137 ),
inference(resolution,[],[f450,f887]) ).
fof(f450,plain,
( ! [X65] :
( ~ c3_1(X65)
| c0_1(X65)
| c2_1(X65) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl0_53
<=> ! [X65] :
( ~ c3_1(X65)
| c0_1(X65)
| c2_1(X65) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1604,plain,
( spl0_127
| spl0_164
| ~ spl0_47
| spl0_126 ),
inference(avatar_split_clause,[],[f1142,f827,f419,f1601,f832]) ).
fof(f832,plain,
( spl0_127
<=> c2_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1142,plain,
( c1_1(a104)
| c2_1(a104)
| ~ spl0_47
| spl0_126 ),
inference(resolution,[],[f420,f829]) ).
fof(f1599,plain,
( spl0_114
| ~ spl0_48
| ~ spl0_115
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1598,f1339,f768,f425,f763]) ).
fof(f1339,plain,
( spl0_161
<=> c1_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1598,plain,
( c0_1(a110)
| ~ spl0_48
| ~ spl0_115
| ~ spl0_161 ),
inference(subsumption_resolution,[],[f1570,f1341]) ).
fof(f1341,plain,
( c1_1(a110)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1570,plain,
( c0_1(a110)
| ~ c1_1(a110)
| ~ spl0_48
| ~ spl0_115 ),
inference(resolution,[],[f426,f770]) ).
fof(f1590,plain,
( ~ spl0_48
| spl0_105
| ~ spl0_106
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1589,plain,
( $false
| ~ spl0_48
| spl0_105
| ~ spl0_106
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f1588,f727]) ).
fof(f1588,plain,
( ~ c1_1(a116)
| ~ spl0_48
| spl0_105
| ~ spl0_106 ),
inference(subsumption_resolution,[],[f1571,f717]) ).
fof(f717,plain,
( ~ c0_1(a116)
| spl0_105 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f1571,plain,
( c0_1(a116)
| ~ c1_1(a116)
| ~ spl0_48
| ~ spl0_106 ),
inference(resolution,[],[f426,f722]) ).
fof(f1553,plain,
( ~ spl0_37
| ~ spl0_41
| spl0_142
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1552,plain,
( $false
| ~ spl0_37
| ~ spl0_41
| spl0_142
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f1540,f914]) ).
fof(f1540,plain,
( c1_1(a99)
| ~ spl0_37
| ~ spl0_41
| ~ spl0_143 ),
inference(resolution,[],[f1536,f919]) ).
fof(f1536,plain,
( ! [X26] :
( ~ c2_1(X26)
| c1_1(X26) )
| ~ spl0_37
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f396,f375]) ).
fof(f375,plain,
( ! [X16] :
( ~ c2_1(X16)
| c1_1(X16)
| ~ c3_1(X16) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl0_37
<=> ! [X16] :
( ~ c3_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1473,plain,
( spl0_127
| ~ spl0_33
| ~ spl0_47
| spl0_126 ),
inference(avatar_split_clause,[],[f1454,f827,f419,f355,f832]) ).
fof(f1454,plain,
( c2_1(a104)
| ~ spl0_33
| ~ spl0_47
| spl0_126 ),
inference(resolution,[],[f1422,f829]) ).
fof(f1422,plain,
( ! [X10] :
( c3_1(X10)
| c2_1(X10) )
| ~ spl0_33
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f356,f420]) ).
fof(f1433,plain,
( ~ spl0_43
| ~ spl0_50
| ~ spl0_72
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1432,plain,
( $false
| ~ spl0_43
| ~ spl0_50
| ~ spl0_72
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1431,f541]) ).
fof(f1431,plain,
( ~ c2_1(a94)
| ~ spl0_43
| ~ spl0_50
| ~ spl0_74 ),
inference(resolution,[],[f1391,f551]) ).
fof(f1391,plain,
( ! [X48] :
( ~ c0_1(X48)
| ~ c2_1(X48) )
| ~ spl0_43
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f435,f403]) ).
fof(f1342,plain,
( ~ spl0_115
| spl0_161
| ~ spl0_37
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1003,f773,f374,f1339,f768]) ).
fof(f1003,plain,
( c1_1(a110)
| ~ c3_1(a110)
| ~ spl0_37
| ~ spl0_116 ),
inference(resolution,[],[f375,f775]) ).
fof(f1313,plain,
( ~ spl0_160
| ~ spl0_28
| spl0_144
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1312,f933,f923,f335,f1307]) ).
fof(f335,plain,
( spl0_28
<=> ! [X3] :
( ~ c2_1(X3)
| c3_1(X3)
| ~ c1_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1312,plain,
( ~ c2_1(a98)
| ~ spl0_28
| spl0_144
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f1311,f925]) ).
fof(f1311,plain,
( c3_1(a98)
| ~ c2_1(a98)
| ~ spl0_28
| ~ spl0_146 ),
inference(resolution,[],[f935,f336]) ).
fof(f336,plain,
( ! [X3] :
( ~ c1_1(X3)
| c3_1(X3)
| ~ c2_1(X3) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f1300,plain,
( ~ spl0_43
| ~ spl0_45
| spl0_123
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1299,plain,
( $false
| ~ spl0_43
| ~ spl0_45
| spl0_123
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f1294,f813]) ).
fof(f813,plain,
( ~ c1_1(a105)
| spl0_123 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f811,plain,
( spl0_123
<=> c1_1(a105) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1294,plain,
( c1_1(a105)
| ~ spl0_43
| ~ spl0_45
| ~ spl0_125 ),
inference(resolution,[],[f823,f1134]) ).
fof(f1134,plain,
( ! [X33] :
( ~ c0_1(X33)
| c1_1(X33) )
| ~ spl0_43
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f411,f403]) ).
fof(f823,plain,
( c0_1(a105)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl0_125
<=> c0_1(a105) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1235,plain,
( ~ spl0_47
| ~ spl0_51
| spl0_99
| spl0_100
| spl0_101 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| ~ spl0_47
| ~ spl0_51
| spl0_99
| spl0_100
| spl0_101 ),
inference(subsumption_resolution,[],[f1233,f685]) ).
fof(f685,plain,
( ~ c3_1(a124)
| spl0_99 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl0_99
<=> c3_1(a124) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1233,plain,
( c3_1(a124)
| ~ spl0_47
| ~ spl0_51
| spl0_99
| spl0_100
| spl0_101 ),
inference(subsumption_resolution,[],[f1224,f695]) ).
fof(f695,plain,
( ~ c0_1(a124)
| spl0_101 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f693,plain,
( spl0_101
<=> c0_1(a124) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1224,plain,
( c0_1(a124)
| c3_1(a124)
| ~ spl0_47
| ~ spl0_51
| spl0_99
| spl0_100 ),
inference(resolution,[],[f439,f1148]) ).
fof(f1148,plain,
( c2_1(a124)
| ~ spl0_47
| spl0_99
| spl0_100 ),
inference(subsumption_resolution,[],[f1144,f690]) ).
fof(f690,plain,
( ~ c1_1(a124)
| spl0_100 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl0_100
<=> c1_1(a124) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1144,plain,
( c1_1(a124)
| c2_1(a124)
| ~ spl0_47
| spl0_99 ),
inference(resolution,[],[f420,f685]) ).
fof(f1232,plain,
( ~ spl0_51
| spl0_117
| spl0_118
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1231,plain,
( $false
| ~ spl0_51
| spl0_117
| spl0_118
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f1230,f781]) ).
fof(f1230,plain,
( c3_1(a109)
| ~ spl0_51
| spl0_118
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f1222,f786]) ).
fof(f1222,plain,
( c0_1(a109)
| c3_1(a109)
| ~ spl0_51
| ~ spl0_119 ),
inference(resolution,[],[f439,f791]) ).
fof(f1218,plain,
( ~ spl0_31
| spl0_120
| ~ spl0_121
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| ~ spl0_31
| spl0_120
| ~ spl0_121
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f1216,f807]) ).
fof(f1216,plain,
( ~ c1_1(a106)
| ~ spl0_31
| spl0_120
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f1208,f797]) ).
fof(f1208,plain,
( c2_1(a106)
| ~ c1_1(a106)
| ~ spl0_31
| ~ spl0_121 ),
inference(resolution,[],[f349,f802]) ).
fof(f1157,plain,
( ~ spl0_37
| ~ spl0_49
| spl0_114
| ~ spl0_115
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl0_37
| ~ spl0_49
| spl0_114
| ~ spl0_115
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f1155,f1004]) ).
fof(f1004,plain,
( c1_1(a110)
| ~ spl0_37
| ~ spl0_115
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f1003,f770]) ).
fof(f1155,plain,
( ~ c1_1(a110)
| ~ spl0_49
| spl0_114
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f1152,f765]) ).
fof(f765,plain,
( ~ c0_1(a110)
| spl0_114 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1152,plain,
( c0_1(a110)
| ~ c1_1(a110)
| ~ spl0_49
| ~ spl0_116 ),
inference(resolution,[],[f430,f775]) ).
fof(f1104,plain,
( ~ spl0_37
| spl0_147
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| ~ spl0_37
| spl0_147
| ~ spl0_148
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f1102,f946]) ).
fof(f1102,plain,
( ~ c3_1(a97)
| ~ spl0_37
| spl0_147
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f1101,f941]) ).
fof(f941,plain,
( ~ c1_1(a97)
| spl0_147 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f939,plain,
( spl0_147
<=> c1_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1101,plain,
( c1_1(a97)
| ~ c3_1(a97)
| ~ spl0_37
| ~ spl0_149 ),
inference(resolution,[],[f951,f375]) ).
fof(f1092,plain,
( ~ spl0_47
| spl0_150
| spl0_151
| spl0_152 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1091,plain,
( $false
| ~ spl0_47
| spl0_150
| spl0_151
| spl0_152 ),
inference(subsumption_resolution,[],[f1090,f962]) ).
fof(f962,plain,
( ~ c2_1(a96)
| spl0_151 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl0_151
<=> c2_1(a96) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1090,plain,
( c2_1(a96)
| ~ spl0_47
| spl0_150
| spl0_152 ),
inference(subsumption_resolution,[],[f1082,f967]) ).
fof(f967,plain,
( ~ c1_1(a96)
| spl0_152 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f965,plain,
( spl0_152
<=> c1_1(a96) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1082,plain,
( c1_1(a96)
| c2_1(a96)
| ~ spl0_47
| spl0_150 ),
inference(resolution,[],[f420,f957]) ).
fof(f957,plain,
( ~ c3_1(a96)
| spl0_150 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f955,plain,
( spl0_150
<=> c3_1(a96) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1074,plain,
( ~ spl0_28
| spl0_132
| ~ spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1073,plain,
( $false
| ~ spl0_28
| spl0_132
| ~ spl0_133
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f1072,f866]) ).
fof(f866,plain,
( c2_1(a102)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f864,plain,
( spl0_133
<=> c2_1(a102) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1072,plain,
( ~ c2_1(a102)
| ~ spl0_28
| spl0_132
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f1071,f861]) ).
fof(f861,plain,
( ~ c3_1(a102)
| spl0_132 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl0_132
<=> c3_1(a102) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1071,plain,
( c3_1(a102)
| ~ c2_1(a102)
| ~ spl0_28
| ~ spl0_134 ),
inference(resolution,[],[f871,f336]) ).
fof(f871,plain,
( c1_1(a102)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl0_134
<=> c1_1(a102) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1067,plain,
( ~ spl0_154
| ~ spl0_28
| spl0_96
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1066,f672,f667,f335,f1062]) ).
fof(f672,plain,
( spl0_97
<=> c1_1(a125) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1066,plain,
( ~ c2_1(a125)
| ~ spl0_28
| spl0_96
| ~ spl0_97 ),
inference(subsumption_resolution,[],[f1060,f669]) ).
fof(f1060,plain,
( c3_1(a125)
| ~ c2_1(a125)
| ~ spl0_28
| ~ spl0_97 ),
inference(resolution,[],[f674,f336]) ).
fof(f674,plain,
( c1_1(a125)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1065,plain,
( ~ spl0_98
| spl0_154
| ~ spl0_30
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1059,f672,f344,f1062,f677]) ).
fof(f1059,plain,
( c2_1(a125)
| ~ c0_1(a125)
| ~ spl0_30
| ~ spl0_97 ),
inference(resolution,[],[f674,f345]) ).
fof(f1058,plain,
( ~ spl0_39
| spl0_111
| ~ spl0_112
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl0_39
| spl0_111
| ~ spl0_112
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f1056,f754]) ).
fof(f1056,plain,
( ~ c3_1(a112)
| ~ spl0_39
| spl0_111
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f1055,f749]) ).
fof(f1055,plain,
( c1_1(a112)
| ~ c3_1(a112)
| ~ spl0_39
| ~ spl0_113 ),
inference(resolution,[],[f759,f387]) ).
fof(f387,plain,
( ! [X21] :
( ~ c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl0_39
<=> ! [X21] :
( ~ c3_1(X21)
| c1_1(X21)
| ~ c0_1(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1054,plain,
( ~ spl0_153
| ~ spl0_113
| ~ spl0_26
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1049,f752,f327,f757,f1051]) ).
fof(f1049,plain,
( ~ c0_1(a112)
| ~ c2_1(a112)
| ~ spl0_26
| ~ spl0_112 ),
inference(resolution,[],[f754,f328]) ).
fof(f979,plain,
( ~ spl0_35
| spl0_108
| spl0_109
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| ~ spl0_35
| spl0_108
| spl0_109
| ~ spl0_110 ),
inference(subsumption_resolution,[],[f977,f733]) ).
fof(f977,plain,
( c3_1(a115)
| ~ spl0_35
| spl0_109
| ~ spl0_110 ),
inference(subsumption_resolution,[],[f976,f738]) ).
fof(f976,plain,
( c2_1(a115)
| c3_1(a115)
| ~ spl0_35
| ~ spl0_110 ),
inference(resolution,[],[f364,f743]) ).
fof(f968,plain,
( ~ spl0_16
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f8,f965,f281]) ).
fof(f281,plain,
( spl0_16
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f8,plain,
( ~ c1_1(a96)
| ~ hskp0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ) )
& ( hskp22
| hskp9
| ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ) )
& ( hskp1
| hskp26
| ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0 ) )
& ( hskp21
| hskp12
| ! [X3] :
( ~ c2_1(X3)
| ~ c1_1(X3)
| c3_1(X3)
| ~ ndr1_0 ) )
& ( hskp18
| hskp28
| ! [X4] :
( ~ c2_1(X4)
| ~ c1_1(X4)
| c3_1(X4)
| ~ ndr1_0 ) )
& ( hskp3
| hskp6
| ! [X5] :
( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5)
| ~ ndr1_0 ) )
& ( ! [X6] :
( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( ~ c3_1(X7)
| ~ c1_1(X7)
| c2_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( ~ c1_1(X8)
| ~ c0_1(X8)
| c2_1(X8)
| ~ ndr1_0 ) )
& ( hskp5
| ! [X9] :
( ~ c2_1(X9)
| ~ c1_1(X9)
| c3_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( ~ c1_1(X10)
| c3_1(X10)
| c2_1(X10)
| ~ ndr1_0 ) )
& ( hskp17
| hskp1
| ! [X11] :
( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11)
| ~ ndr1_0 ) )
& ( hskp5
| hskp12
| ! [X12] :
( ~ c0_1(X12)
| c3_1(X12)
| c2_1(X12)
| ~ ndr1_0 ) )
& ( hskp10
| hskp20
| ! [X13] :
( ~ c0_1(X13)
| c3_1(X13)
| c2_1(X13)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X14] :
( ~ c3_1(X14)
| ~ c2_1(X14)
| ~ c0_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( ~ c0_1(X15)
| c3_1(X15)
| c2_1(X15)
| ~ ndr1_0 ) )
& ( hskp4
| hskp6
| ! [X16] :
( ~ c3_1(X16)
| ~ c2_1(X16)
| c1_1(X16)
| ~ ndr1_0 ) )
& ( hskp13
| ! [X17] :
( ~ c3_1(X17)
| ~ c2_1(X17)
| c1_1(X17)
| ~ ndr1_0 ) )
& ( hskp5
| hskp19
| ! [X18] :
( ~ c3_1(X18)
| ~ c2_1(X18)
| c1_1(X18)
| ~ ndr1_0 ) )
& ( hskp14
| hskp18
| ! [X19] :
( ~ c3_1(X19)
| ~ c2_1(X19)
| c1_1(X19)
| ~ ndr1_0 ) )
& ( hskp17
| hskp26
| ! [X20] :
( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20)
| ~ ndr1_0 ) )
& ( hskp8
| hskp16
| ! [X21] :
( ~ c3_1(X21)
| ~ c0_1(X21)
| c1_1(X21)
| ~ ndr1_0 ) )
& ( hskp10
| hskp14
| ! [X22] :
( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22)
| ~ ndr1_0 ) )
& ( hskp16
| ! [X23] :
( ~ c1_1(X23)
| ~ c0_1(X23)
| c3_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c3_1(X24)
| ~ c0_1(X24)
| c1_1(X24)
| ~ ndr1_0 ) )
& ( hskp10
| ! [X25] :
( ~ c1_1(X25)
| ~ c0_1(X25)
| c3_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( ~ c2_1(X26)
| c3_1(X26)
| c1_1(X26)
| ~ ndr1_0 ) )
& ( ! [X27] :
( ~ c2_1(X27)
| ~ c0_1(X27)
| c1_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( ~ c0_1(X28)
| c3_1(X28)
| c1_1(X28)
| ~ ndr1_0 ) )
& ( ! [X29] :
( ~ c3_1(X29)
| ~ c1_1(X29)
| ~ c0_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( ~ c1_1(X30)
| ~ c0_1(X30)
| c2_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( ~ c3_1(X31)
| c2_1(X31)
| c1_1(X31)
| ~ ndr1_0 ) )
& ( hskp15
| ! [X32] :
( ~ c3_1(X32)
| ~ c0_1(X32)
| c2_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( ~ c0_1(X33)
| c2_1(X33)
| c1_1(X33)
| ~ ndr1_0 ) )
& ( hskp14
| ! [X34] :
( ~ c3_1(X34)
| c2_1(X34)
| c1_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( ~ c0_1(X35)
| c2_1(X35)
| c1_1(X35)
| ~ ndr1_0 ) )
& ( ! [X36] :
( ~ c3_1(X36)
| ~ c1_1(X36)
| c2_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c3_1(X37)
| c2_1(X37)
| c1_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X39] :
( c3_1(X39)
| c2_1(X39)
| c1_1(X39)
| ~ ndr1_0 ) )
& ( hskp3
| hskp13
| ! [X40] :
( c3_1(X40)
| c2_1(X40)
| c1_1(X40)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X41] :
( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c3_1(X42)
| c2_1(X42)
| c1_1(X42)
| ~ ndr1_0 ) )
& ( hskp12
| ! [X43] :
( ~ c0_1(X43)
| c3_1(X43)
| c1_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( ~ c3_1(X44)
| ~ c1_1(X44)
| c0_1(X44)
| ~ ndr1_0 ) )
& ( hskp11
| hskp26
| ! [X45] :
( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X46] :
( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c0_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( ~ c2_1(X47)
| ~ c1_1(X47)
| c0_1(X47)
| ~ ndr1_0 ) )
& ( ! [X48] :
( ~ c2_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48)
| ~ ndr1_0 )
| ! [X49] :
( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ ndr1_0 ) )
& ( hskp10
| ! [X51] :
( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( ~ c1_1(X53)
| c3_1(X53)
| c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c3_1(X54)
| c2_1(X54)
| c1_1(X54)
| ~ ndr1_0 )
| ! [X55] :
( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55)
| ~ ndr1_0 ) )
& ( ! [X56] :
( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56)
| ~ ndr1_0 )
| ! [X57] :
( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58)
| ~ ndr1_0 ) )
& ( ! [X59] :
( ~ c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c3_1(X60)
| ~ c0_1(X60)
| c2_1(X60)
| ~ ndr1_0 )
| ! [X61] :
( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61)
| ~ ndr1_0 ) )
& ( hskp9
| ! [X62] :
( ~ c0_1(X62)
| c3_1(X62)
| c2_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( ~ c1_1(X63)
| c3_1(X63)
| c0_1(X63)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X64] :
( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65)
| ~ ndr1_0 ) )
& ( ! [X66] :
( ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c3_1(X67)
| ~ c2_1(X67)
| c0_1(X67)
| ~ ndr1_0 )
| ! [X68] :
( ~ c3_1(X68)
| c2_1(X68)
| c0_1(X68)
| ~ ndr1_0 ) )
& ( hskp7
| ! [X69] :
( ~ c3_1(X69)
| ~ c2_1(X69)
| c0_1(X69)
| ~ ndr1_0 )
| ! [X70] :
( ~ c1_1(X70)
| c2_1(X70)
| c0_1(X70)
| ~ ndr1_0 ) )
& ( hskp6
| ! [X71] :
( ~ c1_1(X71)
| c2_1(X71)
| c0_1(X71)
| ~ ndr1_0 )
| ! [X72] :
( c3_1(X72)
| c2_1(X72)
| c0_1(X72)
| ~ ndr1_0 ) )
& ( hskp5
| hskp4
| ! [X73] :
( ~ c3_1(X73)
| c1_1(X73)
| c0_1(X73)
| ~ ndr1_0 ) )
& ( hskp3
| hskp2
| ! [X74] :
( ~ c3_1(X74)
| c1_1(X74)
| c0_1(X74)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X75] :
( ~ c3_1(X75)
| ~ c2_1(X75)
| ~ c0_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c2_1(X76)
| c1_1(X76)
| c0_1(X76)
| ~ ndr1_0 ) )
& ( hskp0
| ! [X77] :
( ~ c1_1(X77)
| ~ c0_1(X77)
| c2_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( c3_1(X78)
| c1_1(X78)
| c0_1(X78)
| ~ ndr1_0 ) )
& ( hskp27
| hskp26
| ! [X79] :
( c2_1(X79)
| c1_1(X79)
| c0_1(X79)
| ~ ndr1_0 ) )
& ( ! [X80] :
( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( ~ c3_1(X81)
| ~ c1_1(X81)
| c0_1(X81)
| ~ ndr1_0 )
| ! [X82] :
( c2_1(X82)
| c1_1(X82)
| c0_1(X82)
| ~ ndr1_0 ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ) )
& ( hskp22
| hskp9
| ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ) )
& ( hskp1
| hskp26
| ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0 ) )
& ( hskp21
| hskp12
| ! [X3] :
( ~ c2_1(X3)
| ~ c1_1(X3)
| c3_1(X3)
| ~ ndr1_0 ) )
& ( hskp18
| hskp28
| ! [X4] :
( ~ c2_1(X4)
| ~ c1_1(X4)
| c3_1(X4)
| ~ ndr1_0 ) )
& ( hskp3
| hskp6
| ! [X5] :
( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5)
| ~ ndr1_0 ) )
& ( ! [X6] :
( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( ~ c3_1(X7)
| ~ c1_1(X7)
| c2_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( ~ c1_1(X8)
| ~ c0_1(X8)
| c2_1(X8)
| ~ ndr1_0 ) )
& ( hskp5
| ! [X9] :
( ~ c2_1(X9)
| ~ c1_1(X9)
| c3_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( ~ c1_1(X10)
| c3_1(X10)
| c2_1(X10)
| ~ ndr1_0 ) )
& ( hskp17
| hskp1
| ! [X11] :
( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11)
| ~ ndr1_0 ) )
& ( hskp5
| hskp12
| ! [X12] :
( ~ c0_1(X12)
| c3_1(X12)
| c2_1(X12)
| ~ ndr1_0 ) )
& ( hskp10
| hskp20
| ! [X13] :
( ~ c0_1(X13)
| c3_1(X13)
| c2_1(X13)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X14] :
( ~ c3_1(X14)
| ~ c2_1(X14)
| ~ c0_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( ~ c0_1(X15)
| c3_1(X15)
| c2_1(X15)
| ~ ndr1_0 ) )
& ( hskp4
| hskp6
| ! [X16] :
( ~ c3_1(X16)
| ~ c2_1(X16)
| c1_1(X16)
| ~ ndr1_0 ) )
& ( hskp13
| ! [X17] :
( ~ c3_1(X17)
| ~ c2_1(X17)
| c1_1(X17)
| ~ ndr1_0 ) )
& ( hskp5
| hskp19
| ! [X18] :
( ~ c3_1(X18)
| ~ c2_1(X18)
| c1_1(X18)
| ~ ndr1_0 ) )
& ( hskp14
| hskp18
| ! [X19] :
( ~ c3_1(X19)
| ~ c2_1(X19)
| c1_1(X19)
| ~ ndr1_0 ) )
& ( hskp17
| hskp26
| ! [X20] :
( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20)
| ~ ndr1_0 ) )
& ( hskp8
| hskp16
| ! [X21] :
( ~ c3_1(X21)
| ~ c0_1(X21)
| c1_1(X21)
| ~ ndr1_0 ) )
& ( hskp10
| hskp14
| ! [X22] :
( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22)
| ~ ndr1_0 ) )
& ( hskp16
| ! [X23] :
( ~ c1_1(X23)
| ~ c0_1(X23)
| c3_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c3_1(X24)
| ~ c0_1(X24)
| c1_1(X24)
| ~ ndr1_0 ) )
& ( hskp10
| ! [X25] :
( ~ c1_1(X25)
| ~ c0_1(X25)
| c3_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( ~ c2_1(X26)
| c3_1(X26)
| c1_1(X26)
| ~ ndr1_0 ) )
& ( ! [X27] :
( ~ c2_1(X27)
| ~ c0_1(X27)
| c1_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( ~ c0_1(X28)
| c3_1(X28)
| c1_1(X28)
| ~ ndr1_0 ) )
& ( ! [X29] :
( ~ c3_1(X29)
| ~ c1_1(X29)
| ~ c0_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( ~ c1_1(X30)
| ~ c0_1(X30)
| c2_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( ~ c3_1(X31)
| c2_1(X31)
| c1_1(X31)
| ~ ndr1_0 ) )
& ( hskp15
| ! [X32] :
( ~ c3_1(X32)
| ~ c0_1(X32)
| c2_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( ~ c0_1(X33)
| c2_1(X33)
| c1_1(X33)
| ~ ndr1_0 ) )
& ( hskp14
| ! [X34] :
( ~ c3_1(X34)
| c2_1(X34)
| c1_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( ~ c0_1(X35)
| c2_1(X35)
| c1_1(X35)
| ~ ndr1_0 ) )
& ( ! [X36] :
( ~ c3_1(X36)
| ~ c1_1(X36)
| c2_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c3_1(X37)
| c2_1(X37)
| c1_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X39] :
( c3_1(X39)
| c2_1(X39)
| c1_1(X39)
| ~ ndr1_0 ) )
& ( hskp3
| hskp13
| ! [X40] :
( c3_1(X40)
| c2_1(X40)
| c1_1(X40)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X41] :
( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c3_1(X42)
| c2_1(X42)
| c1_1(X42)
| ~ ndr1_0 ) )
& ( hskp12
| ! [X43] :
( ~ c0_1(X43)
| c3_1(X43)
| c1_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( ~ c3_1(X44)
| ~ c1_1(X44)
| c0_1(X44)
| ~ ndr1_0 ) )
& ( hskp11
| hskp26
| ! [X45] :
( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X46] :
( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c0_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( ~ c2_1(X47)
| ~ c1_1(X47)
| c0_1(X47)
| ~ ndr1_0 ) )
& ( ! [X48] :
( ~ c2_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48)
| ~ ndr1_0 )
| ! [X49] :
( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ ndr1_0 ) )
& ( hskp10
| ! [X51] :
( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( ~ c1_1(X53)
| c3_1(X53)
| c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c3_1(X54)
| c2_1(X54)
| c1_1(X54)
| ~ ndr1_0 )
| ! [X55] :
( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55)
| ~ ndr1_0 ) )
& ( ! [X56] :
( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56)
| ~ ndr1_0 )
| ! [X57] :
( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58)
| ~ ndr1_0 ) )
& ( ! [X59] :
( ~ c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c3_1(X60)
| ~ c0_1(X60)
| c2_1(X60)
| ~ ndr1_0 )
| ! [X61] :
( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61)
| ~ ndr1_0 ) )
& ( hskp9
| ! [X62] :
( ~ c0_1(X62)
| c3_1(X62)
| c2_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( ~ c1_1(X63)
| c3_1(X63)
| c0_1(X63)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X64] :
( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65)
| ~ ndr1_0 ) )
& ( ! [X66] :
( ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c3_1(X67)
| ~ c2_1(X67)
| c0_1(X67)
| ~ ndr1_0 )
| ! [X68] :
( ~ c3_1(X68)
| c2_1(X68)
| c0_1(X68)
| ~ ndr1_0 ) )
& ( hskp7
| ! [X69] :
( ~ c3_1(X69)
| ~ c2_1(X69)
| c0_1(X69)
| ~ ndr1_0 )
| ! [X70] :
( ~ c1_1(X70)
| c2_1(X70)
| c0_1(X70)
| ~ ndr1_0 ) )
& ( hskp6
| ! [X71] :
( ~ c1_1(X71)
| c2_1(X71)
| c0_1(X71)
| ~ ndr1_0 )
| ! [X72] :
( c3_1(X72)
| c2_1(X72)
| c0_1(X72)
| ~ ndr1_0 ) )
& ( hskp5
| hskp4
| ! [X73] :
( ~ c3_1(X73)
| c1_1(X73)
| c0_1(X73)
| ~ ndr1_0 ) )
& ( hskp3
| hskp2
| ! [X74] :
( ~ c3_1(X74)
| c1_1(X74)
| c0_1(X74)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X75] :
( ~ c3_1(X75)
| ~ c2_1(X75)
| ~ c0_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c2_1(X76)
| c1_1(X76)
| c0_1(X76)
| ~ ndr1_0 ) )
& ( hskp0
| ! [X77] :
( ~ c1_1(X77)
| ~ c0_1(X77)
| c2_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( c3_1(X78)
| c1_1(X78)
| c0_1(X78)
| ~ ndr1_0 ) )
& ( hskp27
| hskp26
| ! [X79] :
( c2_1(X79)
| c1_1(X79)
| c0_1(X79)
| ~ ndr1_0 ) )
& ( ! [X80] :
( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( ~ c3_1(X81)
| ~ c1_1(X81)
| c0_1(X81)
| ~ ndr1_0 )
| ! [X82] :
( c2_1(X82)
| c1_1(X82)
| c0_1(X82)
| ~ ndr1_0 ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X0] :
( ndr1_0
=> ( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ) )
& ( hskp22
| hskp9
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ) )
& ( hskp1
| hskp26
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ) )
& ( hskp21
| hskp12
| ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| c3_1(X3) ) ) )
& ( hskp18
| hskp28
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c1_1(X4)
| c3_1(X4) ) ) )
& ( hskp3
| hskp6
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c1_1(X8)
| ~ c0_1(X8)
| c2_1(X8) ) ) )
& ( hskp5
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| ~ c1_1(X9)
| c3_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| c3_1(X10)
| c2_1(X10) ) ) )
& ( hskp17
| hskp1
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) ) ) )
& ( hskp5
| hskp12
| ! [X12] :
( ndr1_0
=> ( ~ c0_1(X12)
| c3_1(X12)
| c2_1(X12) ) ) )
& ( hskp10
| hskp20
| ! [X13] :
( ndr1_0
=> ( ~ c0_1(X13)
| c3_1(X13)
| c2_1(X13) ) ) )
& ( hskp8
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| ~ c0_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c0_1(X15)
| c3_1(X15)
| c2_1(X15) ) ) )
& ( hskp4
| hskp6
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c2_1(X16)
| c1_1(X16) ) ) )
& ( hskp13
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| c1_1(X17) ) ) )
& ( hskp5
| hskp19
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c2_1(X18)
| c1_1(X18) ) ) )
& ( hskp14
| hskp18
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| ~ c2_1(X19)
| c1_1(X19) ) ) )
& ( hskp17
| hskp26
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20) ) ) )
& ( hskp8
| hskp16
| ! [X21] :
( ndr1_0
=> ( ~ c3_1(X21)
| ~ c0_1(X21)
| c1_1(X21) ) ) )
& ( hskp10
| hskp14
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) ) )
& ( hskp16
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c0_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c0_1(X24)
| c1_1(X24) ) ) )
& ( hskp10
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| ~ c0_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| c3_1(X26)
| c1_1(X26) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| ~ c0_1(X27)
| c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c0_1(X28)
| c3_1(X28)
| c1_1(X28) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c1_1(X29)
| ~ c0_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| ~ c0_1(X30)
| c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c2_1(X31)
| c1_1(X31) ) ) )
& ( hskp15
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| ~ c0_1(X32)
| c2_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp14
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| c2_1(X34)
| c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c0_1(X35)
| c2_1(X35)
| c1_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c1_1(X36)
| c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| c2_1(X37)
| c1_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38) ) ) )
& ( hskp1
| ! [X39] :
( ndr1_0
=> ( c3_1(X39)
| c2_1(X39)
| c1_1(X39) ) ) )
& ( hskp3
| hskp13
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c2_1(X40)
| c1_1(X40) ) ) )
& ( hskp3
| ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| c2_1(X42)
| c1_1(X42) ) ) )
& ( hskp12
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| c3_1(X43)
| c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c1_1(X44)
| c0_1(X44) ) ) )
& ( hskp11
| hskp26
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp1
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c2_1(X47)
| ~ c1_1(X47)
| c0_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ) ) )
& ( hskp10
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| c3_1(X53)
| c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| c2_1(X54)
| c1_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61) ) ) )
& ( hskp9
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c3_1(X62)
| c2_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| c3_1(X63)
| c0_1(X63) ) ) )
& ( hskp8
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c2_1(X67)
| c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| c0_1(X68) ) ) )
& ( hskp7
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c2_1(X69)
| c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c1_1(X70)
| c2_1(X70)
| c0_1(X70) ) ) )
& ( hskp6
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| c2_1(X71)
| c0_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| c2_1(X72)
| c0_1(X72) ) ) )
& ( hskp5
| hskp4
| ! [X73] :
( ndr1_0
=> ( ~ c3_1(X73)
| c1_1(X73)
| c0_1(X73) ) ) )
& ( hskp3
| hskp2
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c1_1(X74)
| c0_1(X74) ) ) )
& ( hskp1
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| ~ c2_1(X75)
| ~ c0_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c2_1(X76)
| c1_1(X76)
| c0_1(X76) ) ) )
& ( hskp0
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c0_1(X77)
| c2_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| c1_1(X78)
| c0_1(X78) ) ) )
& ( hskp27
| hskp26
| ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| c1_1(X79)
| c0_1(X79) ) ) )
& ( ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c1_1(X81)
| c0_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c1_1(X82)
| c0_1(X82) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X0] :
( ndr1_0
=> ( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ) )
& ( hskp22
| hskp9
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ) )
& ( hskp1
| hskp26
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ) )
& ( hskp21
| hskp12
| ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| c3_1(X3) ) ) )
& ( hskp18
| hskp28
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c1_1(X4)
| c3_1(X4) ) ) )
& ( hskp3
| hskp6
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c1_1(X8)
| ~ c0_1(X8)
| c2_1(X8) ) ) )
& ( hskp5
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| ~ c1_1(X9)
| c3_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| c3_1(X10)
| c2_1(X10) ) ) )
& ( hskp17
| hskp1
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) ) ) )
& ( hskp5
| hskp12
| ! [X12] :
( ndr1_0
=> ( ~ c0_1(X12)
| c3_1(X12)
| c2_1(X12) ) ) )
& ( hskp10
| hskp20
| ! [X13] :
( ndr1_0
=> ( ~ c0_1(X13)
| c3_1(X13)
| c2_1(X13) ) ) )
& ( hskp8
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| ~ c0_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c0_1(X15)
| c3_1(X15)
| c2_1(X15) ) ) )
& ( hskp4
| hskp6
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c2_1(X16)
| c1_1(X16) ) ) )
& ( hskp13
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| c1_1(X17) ) ) )
& ( hskp5
| hskp19
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c2_1(X18)
| c1_1(X18) ) ) )
& ( hskp14
| hskp18
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| ~ c2_1(X19)
| c1_1(X19) ) ) )
& ( hskp17
| hskp26
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20) ) ) )
& ( hskp8
| hskp16
| ! [X21] :
( ndr1_0
=> ( ~ c3_1(X21)
| ~ c0_1(X21)
| c1_1(X21) ) ) )
& ( hskp10
| hskp14
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) ) )
& ( hskp16
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c0_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c0_1(X24)
| c1_1(X24) ) ) )
& ( hskp10
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| ~ c0_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| c3_1(X26)
| c1_1(X26) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| ~ c0_1(X27)
| c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c0_1(X28)
| c3_1(X28)
| c1_1(X28) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c1_1(X29)
| ~ c0_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| ~ c0_1(X30)
| c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c2_1(X31)
| c1_1(X31) ) ) )
& ( hskp15
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| ~ c0_1(X32)
| c2_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp14
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| c2_1(X34)
| c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c0_1(X35)
| c2_1(X35)
| c1_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c1_1(X36)
| c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| c2_1(X37)
| c1_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38) ) ) )
& ( hskp1
| ! [X39] :
( ndr1_0
=> ( c3_1(X39)
| c2_1(X39)
| c1_1(X39) ) ) )
& ( hskp3
| hskp13
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c2_1(X40)
| c1_1(X40) ) ) )
& ( hskp3
| ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| c2_1(X42)
| c1_1(X42) ) ) )
& ( hskp12
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| c3_1(X43)
| c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c1_1(X44)
| c0_1(X44) ) ) )
& ( hskp11
| hskp26
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp1
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c2_1(X47)
| ~ c1_1(X47)
| c0_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ) ) )
& ( hskp10
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| c3_1(X53)
| c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| c2_1(X54)
| c1_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61) ) ) )
& ( hskp9
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c3_1(X62)
| c2_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| c3_1(X63)
| c0_1(X63) ) ) )
& ( hskp8
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c2_1(X67)
| c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| c0_1(X68) ) ) )
& ( hskp7
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c2_1(X69)
| c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c1_1(X70)
| c2_1(X70)
| c0_1(X70) ) ) )
& ( hskp6
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| c2_1(X71)
| c0_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| c2_1(X72)
| c0_1(X72) ) ) )
& ( hskp5
| hskp4
| ! [X73] :
( ndr1_0
=> ( ~ c3_1(X73)
| c1_1(X73)
| c0_1(X73) ) ) )
& ( hskp3
| hskp2
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c1_1(X74)
| c0_1(X74) ) ) )
& ( hskp1
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| ~ c2_1(X75)
| ~ c0_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c2_1(X76)
| c1_1(X76)
| c0_1(X76) ) ) )
& ( hskp0
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c0_1(X77)
| c2_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| c1_1(X78)
| c0_1(X78) ) ) )
& ( hskp27
| hskp26
| ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| c1_1(X79)
| c0_1(X79) ) ) )
& ( ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c1_1(X81)
| c0_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c1_1(X82)
| c0_1(X82) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c2_1(X82)
| ~ c1_1(X82) ) ) )
& ( hskp22
| hskp9
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c2_1(X81)
| ~ c1_1(X81) ) ) )
& ( hskp1
| hskp26
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c2_1(X80)
| ~ c0_1(X80) ) ) )
& ( hskp21
| hskp12
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) ) )
& ( hskp18
| hskp28
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| ~ c1_1(X78)
| c3_1(X78) ) ) )
& ( hskp3
| hskp6
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c0_1(X77)
| c2_1(X77) ) ) )
& ( ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| ~ c0_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| ~ c1_1(X75)
| c2_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c0_1(X74)
| c2_1(X74) ) ) )
& ( hskp5
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| c3_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c2_1(X72) ) ) )
& ( hskp17
| hskp1
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) ) )
& ( hskp5
| hskp12
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c2_1(X70) ) ) )
& ( hskp10
| hskp20
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c2_1(X69) ) ) )
& ( hskp8
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c2_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c2_1(X67) ) ) )
& ( hskp4
| hskp6
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp13
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp5
| hskp19
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) ) )
& ( hskp14
| hskp18
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp17
| hskp26
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) ) )
& ( hskp8
| hskp16
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c0_1(X61)
| c1_1(X61) ) ) )
& ( hskp10
| hskp14
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c0_1(X60)
| c1_1(X60) ) ) )
& ( hskp16
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c0_1(X59)
| c3_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c0_1(X58)
| c1_1(X58) ) ) )
& ( hskp10
| ! [X57] :
( ndr1_0
=> ( ~ c1_1(X57)
| ~ c0_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| c3_1(X56)
| c1_1(X56) ) ) )
& ( ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c0_1(X55)
| c1_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c1_1(X54) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| ~ c1_1(X53)
| ~ c0_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| ~ c0_1(X52)
| c2_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| c2_1(X51)
| c1_1(X51) ) ) )
& ( hskp15
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c0_1(X50)
| c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c0_1(X49)
| c2_1(X49)
| c1_1(X49) ) ) )
& ( hskp14
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c2_1(X47)
| c1_1(X47) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c2_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c1_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c0_1(X44)
| c2_1(X44)
| c1_1(X44) ) ) )
& ( hskp1
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp3
| hskp13
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| c2_1(X42)
| c1_1(X42) ) ) )
& ( hskp3
| ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c2_1(X40)
| c1_1(X40) ) ) )
& ( hskp12
| ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| c3_1(X39)
| c1_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| ~ c1_1(X38)
| c0_1(X38) ) ) )
& ( hskp11
| hskp26
| ! [X37] :
( ndr1_0
=> ( ~ c2_1(X37)
| ~ c1_1(X37)
| c0_1(X37) ) ) )
& ( hskp1
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c2_1(X36)
| ~ c0_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c1_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| ~ c0_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c0_1(X33)
| c2_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| ~ c1_1(X32)
| c0_1(X32) ) ) )
& ( hskp10
| ! [X31] :
( ndr1_0
=> ( ~ c2_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c3_1(X30)
| c0_1(X30) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( c3_1(X28)
| c2_1(X28)
| c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| c3_1(X27)
| c0_1(X27) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c1_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| ~ c1_1(X25)
| c0_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c2_1(X24)
| c3_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c1_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c2_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| c3_1(X21)
| c0_1(X21) ) ) )
& ( hskp9
| ! [X20] :
( ndr1_0
=> ( ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c3_1(X19)
| c0_1(X19) ) ) )
& ( hskp8
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c1_1(X18)
| ~ c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c0_1(X16)
| c3_1(X16)
| c1_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| c2_1(X14)
| c0_1(X14) ) ) )
& ( hskp7
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c2_1(X13)
| c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c2_1(X12)
| c0_1(X12) ) ) )
& ( hskp6
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c3_1(X10)
| c2_1(X10)
| c0_1(X10) ) ) )
& ( hskp5
| hskp4
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp3
| hskp2
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c0_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp27
| hskp26
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c2_1(X82)
| ~ c1_1(X82) ) ) )
& ( hskp22
| hskp9
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c2_1(X81)
| ~ c1_1(X81) ) ) )
& ( hskp1
| hskp26
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c2_1(X80)
| ~ c0_1(X80) ) ) )
& ( hskp21
| hskp12
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) ) )
& ( hskp18
| hskp28
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| ~ c1_1(X78)
| c3_1(X78) ) ) )
& ( hskp3
| hskp6
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c0_1(X77)
| c2_1(X77) ) ) )
& ( ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| ~ c0_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| ~ c1_1(X75)
| c2_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c0_1(X74)
| c2_1(X74) ) ) )
& ( hskp5
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| c3_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c2_1(X72) ) ) )
& ( hskp17
| hskp1
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) ) )
& ( hskp5
| hskp12
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c2_1(X70) ) ) )
& ( hskp10
| hskp20
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c2_1(X69) ) ) )
& ( hskp8
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c2_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c2_1(X67) ) ) )
& ( hskp4
| hskp6
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp13
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp5
| hskp19
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) ) )
& ( hskp14
| hskp18
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp17
| hskp26
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) ) )
& ( hskp8
| hskp16
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c0_1(X61)
| c1_1(X61) ) ) )
& ( hskp10
| hskp14
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c0_1(X60)
| c1_1(X60) ) ) )
& ( hskp16
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c0_1(X59)
| c3_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c0_1(X58)
| c1_1(X58) ) ) )
& ( hskp10
| ! [X57] :
( ndr1_0
=> ( ~ c1_1(X57)
| ~ c0_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| c3_1(X56)
| c1_1(X56) ) ) )
& ( ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c0_1(X55)
| c1_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c1_1(X54) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| ~ c1_1(X53)
| ~ c0_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| ~ c0_1(X52)
| c2_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| c2_1(X51)
| c1_1(X51) ) ) )
& ( hskp15
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c0_1(X50)
| c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c0_1(X49)
| c2_1(X49)
| c1_1(X49) ) ) )
& ( hskp14
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c2_1(X47)
| c1_1(X47) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c2_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c1_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c0_1(X44)
| c2_1(X44)
| c1_1(X44) ) ) )
& ( hskp1
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp3
| hskp13
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| c2_1(X42)
| c1_1(X42) ) ) )
& ( hskp3
| ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c2_1(X40)
| c1_1(X40) ) ) )
& ( hskp12
| ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| c3_1(X39)
| c1_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| ~ c1_1(X38)
| c0_1(X38) ) ) )
& ( hskp11
| hskp26
| ! [X37] :
( ndr1_0
=> ( ~ c2_1(X37)
| ~ c1_1(X37)
| c0_1(X37) ) ) )
& ( hskp1
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c2_1(X36)
| ~ c0_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c1_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| ~ c0_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c0_1(X33)
| c2_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| ~ c1_1(X32)
| c0_1(X32) ) ) )
& ( hskp10
| ! [X31] :
( ndr1_0
=> ( ~ c2_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c3_1(X30)
| c0_1(X30) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( c3_1(X28)
| c2_1(X28)
| c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| c3_1(X27)
| c0_1(X27) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c1_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| ~ c1_1(X25)
| c0_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c2_1(X24)
| c3_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c1_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c2_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| c3_1(X21)
| c0_1(X21) ) ) )
& ( hskp9
| ! [X20] :
( ndr1_0
=> ( ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c3_1(X19)
| c0_1(X19) ) ) )
& ( hskp8
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c1_1(X18)
| ~ c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c0_1(X16)
| c3_1(X16)
| c1_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| c2_1(X14)
| c0_1(X14) ) ) )
& ( hskp7
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c2_1(X13)
| c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c2_1(X12)
| c0_1(X12) ) ) )
& ( hskp6
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c3_1(X10)
| c2_1(X10)
| c0_1(X10) ) ) )
& ( hskp5
| hskp4
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp3
| hskp2
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c0_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp27
| hskp26
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f963,plain,
( ~ spl0_16
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f9,f960,f281]) ).
fof(f9,plain,
( ~ c2_1(a96)
| ~ hskp0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f958,plain,
( ~ spl0_16
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f10,f955,f281]) ).
fof(f10,plain,
( ~ c3_1(a96)
| ~ hskp0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f952,plain,
( ~ spl0_9
| spl0_149 ),
inference(avatar_split_clause,[],[f12,f949,f249]) ).
fof(f249,plain,
( spl0_9
<=> hskp1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f12,plain,
( c2_1(a97)
| ~ hskp1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f947,plain,
( ~ spl0_9
| spl0_148 ),
inference(avatar_split_clause,[],[f13,f944,f249]) ).
fof(f13,plain,
( c3_1(a97)
| ~ hskp1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f942,plain,
( ~ spl0_9
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f14,f939,f249]) ).
fof(f14,plain,
( ~ c1_1(a97)
| ~ hskp1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f936,plain,
( ~ spl0_18
| spl0_146 ),
inference(avatar_split_clause,[],[f16,f933,f290]) ).
fof(f290,plain,
( spl0_18
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f16,plain,
( c1_1(a98)
| ~ hskp2 ),
inference(cnf_transformation,[],[f6]) ).
fof(f931,plain,
( ~ spl0_18
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f17,f928,f290]) ).
fof(f17,plain,
( ~ c0_1(a98)
| ~ hskp2 ),
inference(cnf_transformation,[],[f6]) ).
fof(f926,plain,
( ~ spl0_18
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f18,f923,f290]) ).
fof(f18,plain,
( ~ c3_1(a98)
| ~ hskp2 ),
inference(cnf_transformation,[],[f6]) ).
fof(f921,plain,
( ~ spl0_10
| spl0_24 ),
inference(avatar_split_clause,[],[f19,f318,f253]) ).
fof(f253,plain,
( spl0_10
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f318,plain,
( spl0_24
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f19,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f920,plain,
( ~ spl0_10
| spl0_143 ),
inference(avatar_split_clause,[],[f20,f917,f253]) ).
fof(f20,plain,
( c2_1(a99)
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f915,plain,
( ~ spl0_10
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f21,f912,f253]) ).
fof(f21,plain,
( ~ c1_1(a99)
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f910,plain,
( ~ spl0_10
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f22,f907,f253]) ).
fof(f22,plain,
( ~ c3_1(a99)
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f888,plain,
( ~ spl0_34
| spl0_137 ),
inference(avatar_split_clause,[],[f28,f885,f358]) ).
fof(f358,plain,
( spl0_34
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f28,plain,
( c3_1(a101)
| ~ hskp5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f883,plain,
( ~ spl0_34
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f29,f880,f358]) ).
fof(f29,plain,
( ~ c1_1(a101)
| ~ hskp5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f878,plain,
( ~ spl0_34
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f30,f875,f358]) ).
fof(f30,plain,
( ~ c2_1(a101)
| ~ hskp5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f872,plain,
( ~ spl0_4
| spl0_134 ),
inference(avatar_split_clause,[],[f32,f869,f227]) ).
fof(f227,plain,
( spl0_4
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f32,plain,
( c1_1(a102)
| ~ hskp6 ),
inference(cnf_transformation,[],[f6]) ).
fof(f867,plain,
( ~ spl0_4
| spl0_133 ),
inference(avatar_split_clause,[],[f33,f864,f227]) ).
fof(f33,plain,
( c2_1(a102)
| ~ hskp6 ),
inference(cnf_transformation,[],[f6]) ).
fof(f862,plain,
( ~ spl0_4
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f34,f859,f227]) ).
fof(f34,plain,
( ~ c3_1(a102)
| ~ hskp6 ),
inference(cnf_transformation,[],[f6]) ).
fof(f856,plain,
( ~ spl0_56
| spl0_131 ),
inference(avatar_split_clause,[],[f36,f853,f460]) ).
fof(f460,plain,
( spl0_56
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f36,plain,
( c0_1(a103)
| ~ hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f851,plain,
( ~ spl0_56
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f37,f848,f460]) ).
fof(f37,plain,
( ~ c1_1(a103)
| ~ hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f846,plain,
( ~ spl0_56
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f38,f843,f460]) ).
fof(f38,plain,
( ~ c3_1(a103)
| ~ hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f841,plain,
( ~ spl0_15
| spl0_24 ),
inference(avatar_split_clause,[],[f39,f318,f276]) ).
fof(f276,plain,
( spl0_15
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f39,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f840,plain,
( ~ spl0_15
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f40,f837,f276]) ).
fof(f40,plain,
( ~ c0_1(a104)
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f835,plain,
( ~ spl0_15
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f41,f832,f276]) ).
fof(f41,plain,
( ~ c2_1(a104)
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f830,plain,
( ~ spl0_15
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f42,f827,f276]) ).
fof(f42,plain,
( ~ c3_1(a104)
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f824,plain,
( ~ spl0_17
| spl0_125 ),
inference(avatar_split_clause,[],[f44,f821,f286]) ).
fof(f286,plain,
( spl0_17
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f44,plain,
( c0_1(a105)
| ~ hskp9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f814,plain,
( ~ spl0_17
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f46,f811,f286]) ).
fof(f46,plain,
( ~ c1_1(a105)
| ~ hskp9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f808,plain,
( ~ spl0_36
| spl0_122 ),
inference(avatar_split_clause,[],[f48,f805,f368]) ).
fof(f368,plain,
( spl0_36
<=> hskp10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f48,plain,
( c1_1(a106)
| ~ hskp10 ),
inference(cnf_transformation,[],[f6]) ).
fof(f803,plain,
( ~ spl0_36
| spl0_121 ),
inference(avatar_split_clause,[],[f49,f800,f368]) ).
fof(f49,plain,
( c3_1(a106)
| ~ hskp10 ),
inference(cnf_transformation,[],[f6]) ).
fof(f798,plain,
( ~ spl0_36
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f50,f795,f368]) ).
fof(f50,plain,
( ~ c2_1(a106)
| ~ hskp10 ),
inference(cnf_transformation,[],[f6]) ).
fof(f792,plain,
( ~ spl0_7
| spl0_119 ),
inference(avatar_split_clause,[],[f52,f789,f240]) ).
fof(f240,plain,
( spl0_7
<=> hskp11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f52,plain,
( c2_1(a109)
| ~ hskp11 ),
inference(cnf_transformation,[],[f6]) ).
fof(f787,plain,
( ~ spl0_7
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f53,f784,f240]) ).
fof(f53,plain,
( ~ c0_1(a109)
| ~ hskp11 ),
inference(cnf_transformation,[],[f6]) ).
fof(f782,plain,
( ~ spl0_7
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f54,f779,f240]) ).
fof(f54,plain,
( ~ c3_1(a109)
| ~ hskp11 ),
inference(cnf_transformation,[],[f6]) ).
fof(f776,plain,
( ~ spl0_11
| spl0_116 ),
inference(avatar_split_clause,[],[f56,f773,f258]) ).
fof(f258,plain,
( spl0_11
<=> hskp12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f56,plain,
( c2_1(a110)
| ~ hskp12 ),
inference(cnf_transformation,[],[f6]) ).
fof(f771,plain,
( ~ spl0_11
| spl0_115 ),
inference(avatar_split_clause,[],[f57,f768,f258]) ).
fof(f57,plain,
( c3_1(a110)
| ~ hskp12 ),
inference(cnf_transformation,[],[f6]) ).
fof(f766,plain,
( ~ spl0_11
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f58,f763,f258]) ).
fof(f58,plain,
( ~ c0_1(a110)
| ~ hskp12 ),
inference(cnf_transformation,[],[f6]) ).
fof(f760,plain,
( ~ spl0_22
| spl0_113 ),
inference(avatar_split_clause,[],[f60,f757,f308]) ).
fof(f308,plain,
( spl0_22
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f60,plain,
( c0_1(a112)
| ~ hskp13 ),
inference(cnf_transformation,[],[f6]) ).
fof(f755,plain,
( ~ spl0_22
| spl0_112 ),
inference(avatar_split_clause,[],[f61,f752,f308]) ).
fof(f61,plain,
( c3_1(a112)
| ~ hskp13 ),
inference(cnf_transformation,[],[f6]) ).
fof(f750,plain,
( ~ spl0_22
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f62,f747,f308]) ).
fof(f62,plain,
( ~ c1_1(a112)
| ~ hskp13 ),
inference(cnf_transformation,[],[f6]) ).
fof(f744,plain,
( ~ spl0_8
| spl0_110 ),
inference(avatar_split_clause,[],[f64,f741,f245]) ).
fof(f245,plain,
( spl0_8
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f64,plain,
( c0_1(a115)
| ~ hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f739,plain,
( ~ spl0_8
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f65,f736,f245]) ).
fof(f65,plain,
( ~ c2_1(a115)
| ~ hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f734,plain,
( ~ spl0_8
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f66,f731,f245]) ).
fof(f66,plain,
( ~ c3_1(a115)
| ~ hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f728,plain,
( ~ spl0_1
| spl0_107 ),
inference(avatar_split_clause,[],[f68,f725,f214]) ).
fof(f214,plain,
( spl0_1
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f68,plain,
( c1_1(a116)
| ~ hskp15 ),
inference(cnf_transformation,[],[f6]) ).
fof(f723,plain,
( ~ spl0_1
| spl0_106 ),
inference(avatar_split_clause,[],[f69,f720,f214]) ).
fof(f69,plain,
( c3_1(a116)
| ~ hskp15 ),
inference(cnf_transformation,[],[f6]) ).
fof(f718,plain,
( ~ spl0_1
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f70,f715,f214]) ).
fof(f70,plain,
( ~ c0_1(a116)
| ~ hskp15 ),
inference(cnf_transformation,[],[f6]) ).
fof(f712,plain,
( ~ spl0_12
| spl0_104 ),
inference(avatar_split_clause,[],[f72,f709,f263]) ).
fof(f263,plain,
( spl0_12
<=> hskp16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f72,plain,
( c1_1(a118)
| ~ hskp16 ),
inference(cnf_transformation,[],[f6]) ).
fof(f707,plain,
( ~ spl0_12
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f73,f704,f263]) ).
fof(f73,plain,
( ~ c2_1(a118)
| ~ hskp16 ),
inference(cnf_transformation,[],[f6]) ).
fof(f702,plain,
( ~ spl0_12
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f74,f699,f263]) ).
fof(f74,plain,
( ~ c3_1(a118)
| ~ hskp16 ),
inference(cnf_transformation,[],[f6]) ).
fof(f696,plain,
( ~ spl0_3
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f76,f693,f222]) ).
fof(f222,plain,
( spl0_3
<=> hskp17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f76,plain,
( ~ c0_1(a124)
| ~ hskp17 ),
inference(cnf_transformation,[],[f6]) ).
fof(f691,plain,
( ~ spl0_3
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f77,f688,f222]) ).
fof(f77,plain,
( ~ c1_1(a124)
| ~ hskp17 ),
inference(cnf_transformation,[],[f6]) ).
fof(f686,plain,
( ~ spl0_3
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f78,f683,f222]) ).
fof(f78,plain,
( ~ c3_1(a124)
| ~ hskp17 ),
inference(cnf_transformation,[],[f6]) ).
fof(f680,plain,
( ~ spl0_19
| spl0_98 ),
inference(avatar_split_clause,[],[f80,f677,f295]) ).
fof(f295,plain,
( spl0_19
<=> hskp18 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f80,plain,
( c0_1(a125)
| ~ hskp18 ),
inference(cnf_transformation,[],[f6]) ).
fof(f675,plain,
( ~ spl0_19
| spl0_97 ),
inference(avatar_split_clause,[],[f81,f672,f295]) ).
fof(f81,plain,
( c1_1(a125)
| ~ hskp18 ),
inference(cnf_transformation,[],[f6]) ).
fof(f670,plain,
( ~ spl0_19
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f82,f667,f295]) ).
fof(f82,plain,
( ~ c3_1(a125)
| ~ hskp18 ),
inference(cnf_transformation,[],[f6]) ).
fof(f649,plain,
( ~ spl0_14
| spl0_24 ),
inference(avatar_split_clause,[],[f87,f318,f272]) ).
fof(f272,plain,
( spl0_14
<=> hskp20 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f87,plain,
( ndr1_0
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f648,plain,
( ~ spl0_14
| spl0_92 ),
inference(avatar_split_clause,[],[f88,f645,f272]) ).
fof(f88,plain,
( c0_1(a133)
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f643,plain,
( ~ spl0_14
| spl0_91 ),
inference(avatar_split_clause,[],[f89,f640,f272]) ).
fof(f89,plain,
( c3_1(a133)
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f638,plain,
( ~ spl0_14
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f90,f635,f272]) ).
fof(f90,plain,
( ~ c2_1(a133)
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f552,plain,
( ~ spl0_27
| spl0_74 ),
inference(avatar_split_clause,[],[f112,f549,f330]) ).
fof(f330,plain,
( spl0_27
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f112,plain,
( c0_1(a94)
| ~ hskp26 ),
inference(cnf_transformation,[],[f6]) ).
fof(f547,plain,
( ~ spl0_27
| spl0_73 ),
inference(avatar_split_clause,[],[f113,f544,f330]) ).
fof(f113,plain,
( c1_1(a94)
| ~ hskp26 ),
inference(cnf_transformation,[],[f6]) ).
fof(f542,plain,
( ~ spl0_27
| spl0_72 ),
inference(avatar_split_clause,[],[f114,f539,f330]) ).
fof(f114,plain,
( c2_1(a94)
| ~ hskp26 ),
inference(cnf_transformation,[],[f6]) ).
fof(f504,plain,
( ~ spl0_5
| spl0_65 ),
inference(avatar_split_clause,[],[f124,f501,f232]) ).
fof(f232,plain,
( spl0_5
<=> hskp29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f124,plain,
( c1_1(a165)
| ~ hskp29 ),
inference(cnf_transformation,[],[f6]) ).
fof(f499,plain,
( ~ spl0_5
| spl0_64 ),
inference(avatar_split_clause,[],[f125,f496,f232]) ).
fof(f125,plain,
( c2_1(a165)
| ~ hskp29 ),
inference(cnf_transformation,[],[f6]) ).
fof(f494,plain,
( ~ spl0_5
| spl0_63 ),
inference(avatar_split_clause,[],[f126,f491,f232]) ).
fof(f126,plain,
( c3_1(a165)
| ~ hskp29 ),
inference(cnf_transformation,[],[f6]) ).
fof(f489,plain,
( spl0_61
| spl0_48
| ~ spl0_24
| spl0_41 ),
inference(avatar_split_clause,[],[f187,f395,f318,f425,f482]) ).
fof(f187,plain,
! [X82,X80,X81] :
( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80)
| ~ ndr1_0
| ~ c3_1(X81)
| ~ c1_1(X81)
| c0_1(X81)
| c2_1(X82)
| c1_1(X82)
| c0_1(X82) ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f127,plain,
! [X82,X80,X81] :
( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80)
| ~ ndr1_0
| ~ c3_1(X81)
| ~ c1_1(X81)
| c0_1(X81)
| ~ ndr1_0
| c2_1(X82)
| c1_1(X82)
| c0_1(X82)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f476,plain,
( spl0_59
| ~ spl0_24
| spl0_26
| spl0_9 ),
inference(avatar_split_clause,[],[f189,f249,f327,f318,f474]) ).
fof(f189,plain,
! [X76,X75] :
( hskp1
| ~ c3_1(X75)
| ~ c2_1(X75)
| ~ c0_1(X75)
| ~ ndr1_0
| ~ c2_1(X76)
| c1_1(X76)
| c0_1(X76) ),
inference(duplicate_literal_removal,[],[f130]) ).
fof(f130,plain,
! [X76,X75] :
( hskp1
| ~ c3_1(X75)
| ~ c2_1(X75)
| ~ c0_1(X75)
| ~ ndr1_0
| ~ c2_1(X76)
| c1_1(X76)
| c0_1(X76)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f463,plain,
( spl0_55
| ~ spl0_24
| spl0_54
| spl0_56 ),
inference(avatar_split_clause,[],[f191,f460,f453,f318,f457]) ).
fof(f191,plain,
! [X70,X69] :
( hskp7
| ~ c3_1(X69)
| ~ c2_1(X69)
| c0_1(X69)
| ~ ndr1_0
| ~ c1_1(X70)
| c2_1(X70)
| c0_1(X70) ),
inference(duplicate_literal_removal,[],[f134]) ).
fof(f134,plain,
! [X70,X69] :
( hskp7
| ~ c3_1(X69)
| ~ c2_1(X69)
| c0_1(X69)
| ~ ndr1_0
| ~ c1_1(X70)
| c2_1(X70)
| c0_1(X70)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f455,plain,
( spl0_53
| spl0_54
| ~ spl0_24
| spl0_42 ),
inference(avatar_split_clause,[],[f192,f399,f318,f453,f449]) ).
fof(f192,plain,
! [X68,X66,X67] :
( ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66)
| ~ ndr1_0
| ~ c3_1(X67)
| ~ c2_1(X67)
| c0_1(X67)
| ~ c3_1(X68)
| c2_1(X68)
| c0_1(X68) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X68,X66,X67] :
( ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66)
| ~ ndr1_0
| ~ c3_1(X67)
| ~ c2_1(X67)
| c0_1(X67)
| ~ ndr1_0
| ~ c3_1(X68)
| c2_1(X68)
| c0_1(X68)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f446,plain,
( spl0_52
| spl0_46
| ~ spl0_24
| spl0_31 ),
inference(avatar_split_clause,[],[f195,f348,f318,f413,f444]) ).
fof(f195,plain,
! [X59,X60,X61] :
( ~ c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59)
| ~ ndr1_0
| ~ c3_1(X60)
| ~ c0_1(X60)
| c2_1(X60)
| ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f138,plain,
! [X59,X60,X61] :
( ~ c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59)
| ~ ndr1_0
| ~ c3_1(X60)
| ~ c0_1(X60)
| c2_1(X60)
| ~ ndr1_0
| ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f442,plain,
( spl0_51
| spl0_49
| ~ spl0_24
| spl0_48 ),
inference(avatar_split_clause,[],[f196,f425,f318,f429,f438]) ).
fof(f196,plain,
! [X58,X56,X57] :
( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56)
| ~ ndr1_0
| ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57)
| ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58) ),
inference(duplicate_literal_removal,[],[f139]) ).
fof(f139,plain,
! [X58,X56,X57] :
( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56)
| ~ ndr1_0
| ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57)
| ~ ndr1_0
| ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f441,plain,
( spl0_51
| spl0_47
| ~ spl0_24
| spl0_33 ),
inference(avatar_split_clause,[],[f197,f355,f318,f419,f438]) ).
fof(f197,plain,
! [X54,X55,X53] :
( ~ c1_1(X53)
| c3_1(X53)
| c2_1(X53)
| ~ ndr1_0
| c3_1(X54)
| c2_1(X54)
| c1_1(X54)
| ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f140,plain,
! [X54,X55,X53] :
( ~ c1_1(X53)
| c3_1(X53)
| c2_1(X53)
| ~ ndr1_0
| c3_1(X54)
| c2_1(X54)
| c1_1(X54)
| ~ ndr1_0
| ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f440,plain,
( spl0_51
| ~ spl0_24
| spl0_41
| spl0_36 ),
inference(avatar_split_clause,[],[f198,f368,f395,f318,f438]) ).
fof(f198,plain,
! [X51,X52] :
( hskp10
| ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51)
| ~ ndr1_0
| ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
! [X51,X52] :
( hskp10
| ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51)
| ~ ndr1_0
| ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f436,plain,
( spl0_49
| spl0_46
| ~ spl0_24
| spl0_50 ),
inference(avatar_split_clause,[],[f199,f434,f318,f413,f429]) ).
fof(f199,plain,
! [X50,X48,X49] :
( ~ c2_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48)
| ~ ndr1_0
| ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49)
| ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f142,plain,
! [X50,X48,X49] :
( ~ c2_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48)
| ~ ndr1_0
| ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49)
| ~ ndr1_0
| ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f431,plain,
( ~ spl0_24
| spl0_49
| spl0_27
| spl0_7 ),
inference(avatar_split_clause,[],[f144,f240,f330,f429,f318]) ).
fof(f144,plain,
! [X45] :
( hskp11
| hskp26
| ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f427,plain,
( spl0_48
| ~ spl0_24
| spl0_42
| spl0_11 ),
inference(avatar_split_clause,[],[f201,f258,f399,f318,f425]) ).
fof(f201,plain,
! [X44,X43] :
( hskp12
| ~ c0_1(X43)
| c3_1(X43)
| c1_1(X43)
| ~ ndr1_0
| ~ c3_1(X44)
| ~ c1_1(X44)
| c0_1(X44) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
! [X44,X43] :
( hskp12
| ~ c0_1(X43)
| c3_1(X43)
| c1_1(X43)
| ~ ndr1_0
| ~ c3_1(X44)
| ~ c1_1(X44)
| c0_1(X44)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f423,plain,
( spl0_47
| ~ spl0_24
| spl0_26
| spl0_10 ),
inference(avatar_split_clause,[],[f202,f253,f327,f318,f419]) ).
fof(f202,plain,
! [X41,X42] :
( hskp3
| ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0
| c3_1(X42)
| c2_1(X42)
| c1_1(X42) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
! [X41,X42] :
( hskp3
| ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0
| c3_1(X42)
| c2_1(X42)
| c1_1(X42)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f422,plain,
( ~ spl0_24
| spl0_47
| spl0_22
| spl0_10 ),
inference(avatar_split_clause,[],[f147,f253,f308,f419,f318]) ).
fof(f147,plain,
! [X40] :
( hskp3
| hskp13
| c3_1(X40)
| c2_1(X40)
| c1_1(X40)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f421,plain,
( ~ spl0_24
| spl0_47
| spl0_9 ),
inference(avatar_split_clause,[],[f148,f249,f419,f318]) ).
fof(f148,plain,
! [X39] :
( hskp1
| c3_1(X39)
| c2_1(X39)
| c1_1(X39)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f417,plain,
( spl0_45
| spl0_44
| ~ spl0_24
| spl0_31 ),
inference(avatar_split_clause,[],[f203,f348,f318,f406,f410]) ).
fof(f203,plain,
! [X38,X36,X37] :
( ~ c3_1(X36)
| ~ c1_1(X36)
| c2_1(X36)
| ~ ndr1_0
| ~ c3_1(X37)
| c2_1(X37)
| c1_1(X37)
| ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
! [X38,X36,X37] :
( ~ c3_1(X36)
| ~ c1_1(X36)
| c2_1(X36)
| ~ ndr1_0
| ~ c3_1(X37)
| c2_1(X37)
| c1_1(X37)
| ~ ndr1_0
| ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f416,plain,
( spl0_45
| ~ spl0_24
| spl0_44
| spl0_8 ),
inference(avatar_split_clause,[],[f204,f245,f406,f318,f410]) ).
fof(f204,plain,
! [X34,X35] :
( hskp14
| ~ c3_1(X34)
| c2_1(X34)
| c1_1(X34)
| ~ ndr1_0
| ~ c0_1(X35)
| c2_1(X35)
| c1_1(X35) ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
! [X34,X35] :
( hskp14
| ~ c3_1(X34)
| c2_1(X34)
| c1_1(X34)
| ~ ndr1_0
| ~ c0_1(X35)
| c2_1(X35)
| c1_1(X35)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f415,plain,
( spl0_45
| ~ spl0_24
| spl0_46
| spl0_1 ),
inference(avatar_split_clause,[],[f205,f214,f413,f318,f410]) ).
fof(f205,plain,
! [X32,X33] :
( hskp15
| ~ c3_1(X32)
| ~ c0_1(X32)
| c2_1(X32)
| ~ ndr1_0
| ~ c0_1(X33)
| c2_1(X33)
| c1_1(X33) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f151,plain,
! [X32,X33] :
( hskp15
| ~ c3_1(X32)
| ~ c0_1(X32)
| c2_1(X32)
| ~ ndr1_0
| ~ c0_1(X33)
| c2_1(X33)
| c1_1(X33)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f404,plain,
( spl0_42
| ~ spl0_24
| spl0_43 ),
inference(avatar_split_clause,[],[f207,f402,f318,f399]) ).
fof(f207,plain,
! [X28,X27] :
( ~ c2_1(X27)
| ~ c0_1(X27)
| c1_1(X27)
| ~ ndr1_0
| ~ c0_1(X28)
| c3_1(X28)
| c1_1(X28) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f153,plain,
! [X28,X27] :
( ~ c2_1(X27)
| ~ c0_1(X27)
| c1_1(X27)
| ~ ndr1_0
| ~ c0_1(X28)
| c3_1(X28)
| c1_1(X28)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f393,plain,
( spl0_39
| ~ spl0_24
| spl0_40
| spl0_12 ),
inference(avatar_split_clause,[],[f209,f263,f391,f318,f386]) ).
fof(f209,plain,
! [X24,X23] :
( hskp16
| ~ c1_1(X23)
| ~ c0_1(X23)
| c3_1(X23)
| ~ ndr1_0
| ~ c3_1(X24)
| ~ c0_1(X24)
| c1_1(X24) ),
inference(duplicate_literal_removal,[],[f155]) ).
fof(f155,plain,
! [X24,X23] :
( hskp16
| ~ c1_1(X23)
| ~ c0_1(X23)
| c3_1(X23)
| ~ ndr1_0
| ~ c3_1(X24)
| ~ c0_1(X24)
| c1_1(X24)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f389,plain,
( ~ spl0_24
| spl0_39
| spl0_8
| spl0_36 ),
inference(avatar_split_clause,[],[f156,f368,f245,f386,f318]) ).
fof(f156,plain,
! [X22] :
( hskp10
| hskp14
| ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f383,plain,
( ~ spl0_24
| spl0_37
| spl0_19
| spl0_8 ),
inference(avatar_split_clause,[],[f159,f245,f295,f374,f318]) ).
fof(f159,plain,
! [X19] :
( hskp14
| hskp18
| ~ c3_1(X19)
| ~ c2_1(X19)
| c1_1(X19)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f381,plain,
( ~ spl0_24
| spl0_37
| spl0_22 ),
inference(avatar_split_clause,[],[f161,f308,f374,f318]) ).
fof(f161,plain,
! [X17] :
( hskp13
| ~ c3_1(X17)
| ~ c2_1(X17)
| c1_1(X17)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f371,plain,
( ~ spl0_24
| spl0_35
| spl0_14
| spl0_36 ),
inference(avatar_split_clause,[],[f164,f368,f272,f363,f318]) ).
fof(f164,plain,
! [X13] :
( hskp10
| hskp20
| ~ c0_1(X13)
| c3_1(X13)
| c2_1(X13)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f366,plain,
( ~ spl0_24
| spl0_35
| spl0_11
| spl0_34 ),
inference(avatar_split_clause,[],[f165,f358,f258,f363,f318]) ).
fof(f165,plain,
! [X12] :
( hskp5
| hskp12
| ~ c0_1(X12)
| c3_1(X12)
| c2_1(X12)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f365,plain,
( ~ spl0_24
| spl0_35
| spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f166,f222,f249,f363,f318]) ).
fof(f166,plain,
! [X11] :
( hskp17
| hskp1
| ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f361,plain,
( spl0_33
| ~ spl0_24
| spl0_28
| spl0_34 ),
inference(avatar_split_clause,[],[f211,f358,f335,f318,f355]) ).
fof(f211,plain,
! [X10,X9] :
( hskp5
| ~ c2_1(X9)
| ~ c1_1(X9)
| c3_1(X9)
| ~ ndr1_0
| ~ c1_1(X10)
| c3_1(X10)
| c2_1(X10) ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
! [X10,X9] :
( hskp5
| ~ c2_1(X9)
| ~ c1_1(X9)
| c3_1(X9)
| ~ ndr1_0
| ~ c1_1(X10)
| c3_1(X10)
| c2_1(X10)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f353,plain,
( spl0_30
| spl0_31
| ~ spl0_24
| spl0_32 ),
inference(avatar_split_clause,[],[f212,f351,f318,f348,f344]) ).
fof(f212,plain,
! [X8,X6,X7] :
( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0
| ~ c3_1(X7)
| ~ c1_1(X7)
| c2_1(X7)
| ~ c1_1(X8)
| ~ c0_1(X8)
| c2_1(X8) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
! [X8,X6,X7] :
( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0
| ~ c3_1(X7)
| ~ c1_1(X7)
| c2_1(X7)
| ~ ndr1_0
| ~ c1_1(X8)
| ~ c0_1(X8)
| c2_1(X8)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f346,plain,
( ~ spl0_24
| spl0_30
| spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f169,f253,f227,f344,f318]) ).
fof(f169,plain,
! [X5] :
( hskp3
| hskp6
| ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f293,plain,
( spl0_17
| spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f178,f290,f245,f286]) ).
fof(f178,plain,
( hskp2
| hskp14
| hskp9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
( spl0_14
| spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f179,f281,f232,f272]) ).
fof(f179,plain,
( hskp0
| hskp29
| hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
( spl0_14
| spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f180,f276,f253,f272]) ).
fof(f180,plain,
( hskp8
| hskp3
| hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f261,plain,
( spl0_8
| spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f182,f240,f258,f245]) ).
fof(f182,plain,
( hskp11
| hskp12
| hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f183,f253,f249,f245]) ).
fof(f183,plain,
( hskp3
| hskp1
| hskp14 ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYN454+1 : TPTP v8.2.0. Released v2.1.0.
% 0.08/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 13:41:37 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (14704)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (14706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (14705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (14708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.32 % (14709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.32 % (14710)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.32 % (14707)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.32 % (14711)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 Detected minimum model sizes of [1]
% 0.14/0.32 Detected maximum model sizes of [30]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 Detected minimum model sizes of [1]
% 0.14/0.32 Detected maximum model sizes of [30]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 Detected minimum model sizes of [1]
% 0.14/0.32 Detected maximum model sizes of [30]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [2]
% 0.14/0.33 TRYING [3]
% 0.14/0.33 Detected minimum model sizes of [1]
% 0.14/0.33 Detected maximum model sizes of [30]
% 0.14/0.33 TRYING [1]
% 0.14/0.33 TRYING [3]
% 0.14/0.33 TRYING [2]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [3]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [5]
% 0.14/0.34 TRYING [5]
% 0.14/0.34 TRYING [5]
% 0.14/0.34 TRYING [5]
% 0.14/0.35 % (14710)First to succeed.
% 0.14/0.35 TRYING [6]
% 0.14/0.36 TRYING [6]
% 0.14/0.36 % (14710)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14704"
% 0.14/0.36 % (14710)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (14710)------------------------------
% 0.14/0.37 % (14710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (14710)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (14710)Memory used [KB]: 1821
% 0.14/0.37 % (14710)Time elapsed: 0.045 s
% 0.14/0.37 % (14710)Instructions burned: 89 (million)
% 0.14/0.37 % (14704)Success in time 0.066 s
%------------------------------------------------------------------------------