TSTP Solution File: ALG044+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:39:09 EDT 2022
% Result : Theorem 1.92s 0.61s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 130
% Syntax : Number of formulae : 397 ( 54 unt; 0 def)
% Number of atoms : 2250 (1505 equ)
% Maximal formula atoms : 220 ( 5 avg)
% Number of connectives : 3102 (1249 ~; 988 |; 791 &)
% ( 74 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 128 ( 126 usr; 127 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1222,plain,
$false,
inference(avatar_sat_refutation,[],[f496,f523,f560,f569,f587,f632,f664,f692,f716,f725,f748,f771,f776,f830,f850,f851,f862,f877,f878,f888,f898,f927,f934,f940,f941,f961,f966,f1008,f1016,f1017,f1019,f1020,f1021,f1023,f1024,f1025,f1032,f1033,f1042,f1044,f1045,f1046,f1049,f1059,f1064,f1078,f1079,f1089,f1091,f1097,f1102,f1106,f1108,f1109,f1111,f1126,f1129,f1148,f1149,f1150,f1152,f1155,f1157,f1162,f1164,f1168,f1170,f1176,f1182,f1189,f1194,f1206,f1211,f1217,f1220]) ).
fof(f1220,plain,
( ~ spl52_5
| ~ spl52_10
| spl52_50 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl52_5
| ~ spl52_10
| spl52_50 ),
inference(subsumption_resolution,[],[f1218,f714]) ).
fof(f714,plain,
( e2 != unit
| spl52_50 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f712,plain,
( spl52_50
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f1218,plain,
( e2 = unit
| ~ spl52_5
| ~ spl52_10 ),
inference(forward_demodulation,[],[f508,f532]) ).
fof(f532,plain,
( op(e3,e3) = unit
| ~ spl52_10 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl52_10
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f508,plain,
( e2 = op(e3,e3)
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl52_5
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f1217,plain,
( ~ spl52_10
| ~ spl52_26
| spl52_94 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl52_10
| ~ spl52_26
| spl52_94 ),
inference(subsumption_resolution,[],[f1215,f938]) ).
fof(f938,plain,
( e3 != unit
| spl52_94 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl52_94
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f1215,plain,
( e3 = unit
| ~ spl52_10
| ~ spl52_26 ),
inference(forward_demodulation,[],[f603,f532]) ).
fof(f603,plain,
( e3 = op(e3,e3)
| ~ spl52_26 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl52_26
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f1211,plain,
( ~ spl52_63
| ~ spl52_86
| spl52_94 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1210,plain,
( $false
| ~ spl52_63
| ~ spl52_86
| spl52_94 ),
inference(subsumption_resolution,[],[f1208,f938]) ).
fof(f1208,plain,
( e3 = unit
| ~ spl52_63
| ~ spl52_86 ),
inference(backward_demodulation,[],[f774,f891]) ).
fof(f891,plain,
( op(e2,e2) = unit
| ~ spl52_86 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl52_86
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f774,plain,
( e3 = op(e2,e2)
| ~ spl52_63 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl52_63
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f1206,plain,
( ~ spl52_44
| ~ spl52_63 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1205,plain,
( $false
| ~ spl52_44
| ~ spl52_63 ),
inference(subsumption_resolution,[],[f1204,f343]) ).
fof(f343,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e2 != e3
& e1 != e2
& e0 != e3
& e0 != e1
& e1 != e3
& e0 != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1204,plain,
( e1 = e3
| ~ spl52_44
| ~ spl52_63 ),
inference(forward_demodulation,[],[f774,f685]) ).
fof(f685,plain,
( e1 = op(e2,e2)
| ~ spl52_44 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl52_44
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f1194,plain,
spl52_63,
inference(avatar_split_clause,[],[f326,f773]) ).
fof(f326,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e3,e3)
& e0 = op(e2,e1)
& e3 = op(e0,e3)
& e2 = op(e3,e1)
& e2 = op(e1,e3)
& e3 = op(e1,e1)
& e1 = op(e3,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e2)
& e2 = op(e0,e2)
& e2 = op(e2,e0)
& e3 = op(e3,e0)
& e1 = op(e1,e0)
& e1 = op(e2,e3)
& e1 = op(e0,e1)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1189,plain,
( spl52_44
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f170,f699,f684]) ).
fof(f699,plain,
( spl52_47
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f170,plain,
( ~ sP37
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e1 = op(e3,e3)
& e1 = op(e0,e0)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ~ sP37 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e1 = op(e3,e3)
& e1 = op(e0,e0)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f1182,plain,
( ~ spl52_10
| ~ spl52_25 ),
inference(avatar_split_clause,[],[f442,f598,f530]) ).
fof(f598,plain,
( spl52_25
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f442,plain,
( ~ sP8
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f286,f325]) ).
fof(f325,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f286,plain,
( e0 != op(e3,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1176,plain,
( ~ spl52_7
| ~ spl52_41 ),
inference(avatar_split_clause,[],[f426,f670,f516]) ).
fof(f516,plain,
( spl52_7
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f670,plain,
( spl52_41
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f426,plain,
( ~ sP18
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f248,f325]) ).
fof(f248,plain,
( e1 != op(e0,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1170,plain,
spl52_17,
inference(avatar_split_clause,[],[f336,f562]) ).
fof(f562,plain,
( spl52_17
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f336,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1168,plain,
~ spl52_50,
inference(avatar_split_clause,[],[f482,f712]) ).
fof(f482,plain,
e2 != unit,
inference(definition_unfolding,[],[f342,f325]) ).
fof(f342,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f1164,plain,
( ~ spl52_82
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f185,f1029,f869]) ).
fof(f869,plain,
( spl52_82
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f1029,plain,
( spl52_110
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).
fof(f185,plain,
( e1 != op(e2,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e3) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f1162,plain,
( spl52_15
| spl52_8
| spl52_83
| spl52_54
| spl52_43
| ~ spl52_106
| spl52_66
| spl52_2
| spl52_59
| ~ spl52_7
| spl52_29
| spl52_11
| spl52_19
| spl52_38
| spl52_98
| spl52_16
| ~ spl52_22
| spl52_82
| spl52_71
| ~ spl52_31
| spl52_107
| ~ spl52_51
| spl52_67
| spl52_49
| spl52_77
| spl52_28
| spl52_102
| spl52_105
| spl52_57
| spl52_87
| ~ spl52_56
| spl52_74
| spl52_35
| spl52_6
| spl52_79
| spl52_32
| spl52_41
| spl52_92
| spl52_58
| spl52_104
| spl52_103
| spl52_36
| spl52_25
| spl52_91
| spl52_78
| spl52_52
| spl52_21
| spl52_13
| spl52_47
| spl52_45
| spl52_24
| spl52_80
| spl52_33
| spl52_18
| spl52_65
| ~ spl52_97
| spl52_69
| spl52_62
| spl52_4 ),
inference(avatar_split_clause,[],[f485,f502,f768,f803,f954,f784,f566,f634,f859,f593,f688,f699,f543,f580,f722,f847,f918,f598,f648,f983,f987,f750,f923,f670,f629,f853,f511,f643,f826,f741,f894,f745,f991,f979,f611,f842,f708,f794,f718,f999,f625,f812,f869,f584,f557,f958,f657,f571,f534,f616,f516,f755,f493,f789,f995,f679,f731,f874,f520,f552]) ).
fof(f552,plain,
( spl52_15
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f520,plain,
( spl52_8
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f874,plain,
( spl52_83
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f731,plain,
( spl52_54
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f679,plain,
( spl52_43
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f995,plain,
( spl52_106
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).
fof(f789,plain,
( spl52_66
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f493,plain,
( spl52_2
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f755,plain,
( spl52_59
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f616,plain,
( spl52_29
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f534,plain,
( spl52_11
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f571,plain,
( spl52_19
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f657,plain,
( spl52_38
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f958,plain,
( spl52_98
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f557,plain,
( spl52_16
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f584,plain,
( spl52_22
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f812,plain,
( spl52_71
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f625,plain,
( spl52_31
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f999,plain,
( spl52_107
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).
fof(f718,plain,
( spl52_51
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f794,plain,
( spl52_67
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f708,plain,
( spl52_49
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f842,plain,
( spl52_77
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f611,plain,
( spl52_28
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f979,plain,
( spl52_102
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f991,plain,
( spl52_105
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).
fof(f745,plain,
( spl52_57
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f894,plain,
( spl52_87
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f741,plain,
( spl52_56
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f826,plain,
( spl52_74
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f643,plain,
( spl52_35
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f511,plain,
( spl52_6
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f853,plain,
( spl52_79
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f629,plain,
( spl52_32
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f923,plain,
( spl52_92
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f750,plain,
( spl52_58
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f987,plain,
( spl52_104
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f983,plain,
( spl52_103
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f648,plain,
( spl52_36
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f918,plain,
( spl52_91
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f847,plain,
( spl52_78
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f722,plain,
( spl52_52
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f580,plain,
( spl52_21
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f543,plain,
( spl52_13
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f688,plain,
( spl52_45
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f593,plain,
( spl52_24
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f859,plain,
( spl52_80
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f634,plain,
( spl52_33
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f566,plain,
( spl52_18
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f784,plain,
( spl52_65
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f954,plain,
( spl52_97
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f803,plain,
( spl52_69
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f768,plain,
( spl52_62
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f502,plain,
( spl52_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f485,plain,
( sP0
| sP50
| sP49
| unit != op(unit,unit)
| sP2
| sP15
| sP44
| sP45
| sP31
| sP10
| sP37
| sP25
| sP9
| sP14
| sP42
| sP36
| sP8
| sP1
| sP48
| sP43
| sP17
| sP12
| sP18
| sP5
| sP28
| sP47
| sP23
| sP27
| e2 != op(e2,unit)
| sP11
| sP46
| sP26
| sP3
| sP24
| sP40
| sP34
| sP32
| e1 != op(e1,unit)
| sP6
| e3 != op(e3,unit)
| sP7
| sP33
| e2 != op(unit,e2)
| sP20
| sP51
| sP13
| sP29
| sP21
| sP22
| e1 != op(unit,e1)
| sP35
| sP38
| sP16
| e3 != op(unit,e3)
| sP19
| sP4
| sP41
| sP39
| sP30 ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f466,plain,
( sP42
| sP4
| sP28
| sP27
| sP37
| sP6
| sP47
| sP7
| e3 != op(e3,unit)
| sP14
| sP46
| sP15
| sP36
| sP23
| unit != op(unit,unit)
| sP5
| e1 != op(e1,unit)
| sP0
| sP24
| sP12
| sP29
| sP34
| sP18
| sP2
| sP31
| sP32
| sP51
| e3 != op(unit,e3)
| sP35
| sP21
| sP33
| sP16
| e3 != op(e3,unit)
| sP30
| sP9
| sP44
| sP1
| sP48
| sP10
| sP19
| sP41
| sP8
| sP50
| sP39
| e2 != op(unit,e2)
| sP25
| sP20
| sP40
| sP13
| sP3
| sP43
| sP45
| e2 != op(e2,unit)
| sP26
| sP38
| sP49
| sP11
| sP22
| unit != op(unit,unit)
| sP17
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f324,f325,f325,f325,f325,f325]) ).
fof(f324,plain,
( e3 != op(e3,e0)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| e1 != op(e1,unit)
| e0 != op(unit,e0)
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| e0 != op(e0,unit)
| sP37
| sP36
| sP35
| sP34
| sP33
| e3 != op(unit,e3)
| sP32
| sP31
| e2 != op(unit,e2)
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| e3 != op(e3,unit)
| sP17
| sP16
| e2 != op(e2,unit)
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| e1 != op(unit,e1)
| sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e2) )
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| e1 != op(e1,unit)
| e0 != op(unit,e0)
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| e0 != op(e0,unit)
| sP37
| sP36
| sP35
| sP34
| sP33
| e3 != op(unit,e3)
| sP32
| sP31
| e2 != op(unit,e2)
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| e3 != op(e3,unit)
| sP17
| sP16
| e2 != op(e2,unit)
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| e1 != op(unit,e1)
| sP0 ),
inference(definition_folding,[],[f7,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
( ( e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( e2 != op(e0,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
( ( e0 != op(e1,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
( ( e2 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
( ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
( ( e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
( ( e3 = op(e1,e1)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e3 != op(e0,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
( ( e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
( ( e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f32,plain,
( ( e2 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
( ( e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
( ( e2 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
( ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
( ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
( ( e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
( ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
( ( e3 != unit
& e0 != unit
& e2 != unit
& e1 != unit )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f43,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e3)
& e3 != op(e0,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f46,plain,
( ( e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f47,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e2) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
( ( e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f49,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f50,plain,
( ( e2 != op(e2,e1)
& e0 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f51,plain,
( ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e1 != op(e1,e2) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f52,plain,
( ( e0 != op(e2,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f53,plain,
( ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f54,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f55,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f56,plain,
( ( e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f57,plain,
( ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f58,plain,
( ( e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f59,plain,
( ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f7,plain,
( ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e2) )
| ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0) )
| ( e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ( e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ( e0 != op(e2,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| e1 != op(e1,unit)
| e0 != op(unit,e0)
| ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e1 != op(e1,e2) )
| ( e2 != op(e2,e1)
& e0 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1) )
| ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ( e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0) )
| ( e1 != op(e0,e3)
& e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e2) )
| ( e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1) )
| e0 != op(e0,unit)
| ( e1 = op(e3,e3)
& e1 = op(e0,e0)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2) )
| ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e3)
& e3 != op(e0,e0) )
| ( e3 != unit
& e0 != unit
& e2 != unit
& e1 != unit )
| ( e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e3) )
| e3 != op(unit,e3)
| ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) )
| ( e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| e2 != op(unit,e2)
| ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e2 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| ( e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e2 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| e3 != op(e3,unit)
| ( e3 != op(e0,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3) )
| ( e3 = op(e1,e1)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| e2 != op(e2,unit)
| ( e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1) )
| ( e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e2) )
| ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1) )
| ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e3) )
| ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ( e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3) )
| ( e2 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ( e0 != op(e0,e0)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ( e0 != op(e1,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ( e2 != op(e0,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0) )
| e1 != op(unit,e1)
| ( e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
( e2 != op(unit,e2)
| e1 != op(unit,e1)
| ( e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| e0 != op(unit,e0)
| ( e3 != unit
& e0 != unit
& e2 != unit
& e1 != unit )
| ( e2 != op(e0,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0) )
| ( e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1) )
| ( e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ( e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1) )
| ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2) )
| ( e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3) )
| ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ( e2 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ( e0 != op(e2,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| e3 != op(e3,unit)
| ( e1 != op(e0,e3)
& e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e2) )
| ( e2 != op(e2,e1)
& e0 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1) )
| ( e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0) )
| ( e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0)
& e1 != op(e2,e3) )
| ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ( e3 = op(e1,e1)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e1 = op(e3,e3)
& e1 = op(e0,e0)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e2 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| e2 != op(e2,unit)
| ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e3) )
| ( e2 != op(e3,e0)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| e0 != op(e0,unit)
| ( e3 != op(e3,e0)
& e3 != op(e3,e3)
& e3 != op(e3,e1)
& e3 != op(e3,e2) )
| ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| e1 != op(e1,unit)
| ( e0 != op(e1,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e2) )
| ( e1 != op(e0,e1)
& e1 != op(e1,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1) )
| ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e3)
& e3 != op(e0,e0) )
| ( e2 != op(e3,e3)
& e3 != op(e3,e3)
& e0 != op(e3,e3)
& e1 != op(e3,e3) )
| e3 != op(unit,e3)
| ( e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e2) )
| ( e2 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0) )
| ( e0 != op(e0,e0)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0) )
| ( e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ( e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ( e3 != op(e0,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3) )
| ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ( e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1) )
| ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e1 != op(e1,e2) )
| ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( e2 = op(unit,e2)
& e1 = op(unit,e1)
& ( e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e1) )
& e0 = op(unit,e0)
& ( e1 = unit
| e2 = unit
| e3 = unit
| e0 = unit )
& ( e2 = op(e1,e0)
| e2 = op(e0,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e0) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e1) )
& ( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2) )
& ( e3 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1) )
& ( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3) )
& e3 = op(e3,unit)
& ( e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e0)
| e1 = op(e0,e3) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e0 = op(e3,e0)
| e0 = op(e0,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) )
& ( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3) )
& ~ ( ( e3 = op(e1,e1)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e1 = op(e3,e3)
& e1 = op(e0,e0)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) ) )
& ( e0 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1) )
& e2 = op(e2,unit)
& ( e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e1) )
& ( e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1) )
& e0 = op(e0,unit)
& ( e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0) )
& ( e1 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1) )
& e1 = op(e1,unit)
& ( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2) )
& ( e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3) )
& e3 = op(unit,e3)
& ( e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e3) )
& ( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ( e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e0)
| e2 = op(e0,e1) )
& ( e3 = op(e3,e0)
| e3 = op(e0,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0) )
& ( e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) )
& ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) )
& ( e1 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2) )
& ( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( e2 = op(unit,e2)
& e1 = op(unit,e1)
& ( e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e1) )
& e0 = op(unit,e0)
& ( e1 = unit
| e2 = unit
| e3 = unit
| e0 = unit )
& ( e2 = op(e1,e0)
| e2 = op(e0,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e0) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e1) )
& ( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2) )
& ( e3 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3)
| e1 = op(e3,e1) )
& ( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3) )
& e3 = op(e3,unit)
& ( e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e0)
| e1 = op(e0,e3) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e0 = op(e3,e0)
| e0 = op(e0,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) )
& ( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3) )
& ~ ( ( e3 = op(e1,e1)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( e1 = op(e3,e3)
& e1 = op(e0,e0)
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) ) )
& ( e0 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1) )
& e2 = op(e2,unit)
& ( e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e1) )
& ( e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1) )
& e0 = op(e0,unit)
& ( e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0) )
& ( e1 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1) )
& e1 = op(e1,unit)
& ( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2) )
& ( e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3) )
& e3 = op(unit,e3)
& ( e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e3) )
& ( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e0) )
& ( e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e0)
| e2 = op(e0,e1) )
& ( e3 = op(e3,e0)
| e3 = op(e0,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0) )
& ( e1 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e1) )
& ( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) )
& ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) )
& ( e1 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e2) )
& ( e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2) )
& ( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e1 = op(e0,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1157,plain,
spl52_97,
inference(avatar_split_clause,[],[f473,f954]) ).
fof(f473,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f334,f325,f325,f325]) ).
fof(f334,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1155,plain,
( ~ spl52_77
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f372,f954,f842]) ).
fof(f372,plain,
( unit != op(unit,unit)
| ~ sP40 ),
inference(definition_unfolding,[],[f159,f325,f325,f325]) ).
fof(f159,plain,
( e0 != op(e0,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e0 != op(e3,e0)
& e0 != op(e0,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f48]) ).
fof(f1152,plain,
( ~ spl52_103
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f128,f885,f983]) ).
fof(f885,plain,
( spl52_85
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f128,plain,
( e2 != op(e1,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e2 != op(e1,e3)
& e2 != op(e2,e3)
& e2 != op(e0,e3)
& e2 != op(e3,e3) )
| ~ sP48 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1150,plain,
spl52_7,
inference(avatar_split_clause,[],[f479,f516]) ).
fof(f479,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f327,f325]) ).
fof(f327,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1149,plain,
( ~ spl52_17
| ~ spl52_43 ),
inference(avatar_split_clause,[],[f243,f679,f562]) ).
fof(f243,plain,
( ~ sP19
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e1)
& e3 != op(e1,e0)
& e3 != op(e1,e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1148,plain,
( ~ spl52_92
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f270,f963,f923]) ).
fof(f963,plain,
( spl52_99
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f270,plain,
( e2 != op(e3,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e2 != op(e0,e1)
& e2 != op(e2,e1)
& e2 != op(e3,e1)
& e2 != op(e1,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1129,plain,
spl52_56,
inference(avatar_split_clause,[],[f476,f741]) ).
fof(f476,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f331,f325]) ).
fof(f331,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1126,plain,
( ~ spl52_106
| ~ spl52_102 ),
inference(avatar_split_clause,[],[f459,f979,f995]) ).
fof(f459,plain,
( ~ sP3
| e3 != op(unit,e3) ),
inference(definition_unfolding,[],[f305,f325]) ).
fof(f305,plain,
( e3 != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e0 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1111,plain,
( ~ spl52_58
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f427,f995,f750]) ).
fof(f427,plain,
( e3 != op(unit,e3)
| ~ sP17 ),
inference(definition_unfolding,[],[f252,f325]) ).
fof(f252,plain,
( e3 != op(e0,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e3 != op(e0,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1109,plain,
spl52_106,
inference(avatar_split_clause,[],[f472,f995]) ).
fof(f472,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f339,f325]) ).
fof(f339,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1108,plain,
spl52_110,
inference(avatar_split_clause,[],[f328,f1029]) ).
fof(f328,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1106,plain,
( ~ spl52_105
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f214,f562,f991]) ).
fof(f214,plain,
( e3 != op(e1,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e2 != op(e1,e1)
& e0 != op(e1,e1)
& e3 != op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1102,plain,
( ~ spl52_11
| spl52_86 ),
inference(avatar_split_clause,[],[f419,f890,f534]) ).
fof(f419,plain,
( op(e2,e2) = unit
| ~ sP21 ),
inference(definition_unfolding,[],[f234,f325]) ).
fof(f234,plain,
( e0 = op(e2,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1097,plain,
( ~ spl52_110
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f289,f812,f1029]) ).
fof(f289,plain,
( ~ sP7
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e2 != op(e2,e3)
& e3 != op(e2,e3)
& e0 != op(e2,e3)
& e1 != op(e2,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1091,plain,
( ~ spl52_107
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f444,f954,f999]) ).
fof(f444,plain,
( unit != op(unit,unit)
| ~ sP6 ),
inference(definition_unfolding,[],[f296,f325,f325,f325]) ).
fof(f296,plain,
( e0 != op(e0,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e0 != op(e0,e0)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1089,plain,
( ~ spl52_61
| ~ spl52_54 ),
inference(avatar_split_clause,[],[f452,f731,f764]) ).
fof(f764,plain,
( spl52_61
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f452,plain,
( ~ sP4
| op(e1,e2) != unit ),
inference(definition_unfolding,[],[f304,f325]) ).
fof(f304,plain,
( e0 != op(e1,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e0 != op(e1,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e0,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1079,plain,
( ~ spl52_87
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f435,f489,f894]) ).
fof(f489,plain,
( spl52_1
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f435,plain,
( op(e2,e1) != unit
| ~ sP11 ),
inference(definition_unfolding,[],[f274,f325]) ).
fof(f274,plain,
( e0 != op(e2,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e0 != op(e2,e2)
& e0 != op(e2,e0)
& e0 != op(e2,e1)
& e0 != op(e2,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1078,plain,
( ~ spl52_104
| ~ spl52_61 ),
inference(avatar_split_clause,[],[f368,f764,f987]) ).
fof(f368,plain,
( op(e1,e2) != unit
| ~ sP43 ),
inference(definition_unfolding,[],[f148,f325]) ).
fof(f148,plain,
( e0 != op(e1,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e0 != op(e1,e2)
& e2 != op(e1,e2)
& e3 != op(e1,e2)
& e1 != op(e1,e2) )
| ~ sP43 ),
inference(nnf_transformation,[],[f51]) ).
fof(f1064,plain,
( spl52_26
| ~ spl52_66 ),
inference(avatar_split_clause,[],[f253,f789,f602]) ).
fof(f253,plain,
( ~ sP16
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e3 = op(e1,e1)
& e3 = op(e0,e0)
& e3 = op(e2,e2)
& e3 = op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1059,plain,
spl52_99,
inference(avatar_split_clause,[],[f338,f963]) ).
fof(f338,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1049,plain,
( ~ spl52_13
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f220,f885,f543]) ).
fof(f220,plain,
( e2 != op(e1,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3)
& e3 != op(e1,e3) )
| ~ sP25 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1046,plain,
( ~ spl52_56
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f401,f552,f741]) ).
fof(f401,plain,
( ~ sP30
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f198,f325]) ).
fof(f198,plain,
( e2 != op(e2,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e3 != op(e2,e0)
& e1 != op(e2,e0)
& e2 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1045,plain,
spl52_22,
inference(avatar_split_clause,[],[f475,f584]) ).
fof(f475,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f332,f325]) ).
fof(f332,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1044,plain,
~ spl52_94,
inference(avatar_split_clause,[],[f480,f936]) ).
fof(f480,plain,
e3 != unit,
inference(definition_unfolding,[],[f345,f325]) ).
fof(f345,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f1042,plain,
( ~ spl52_6
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f129,f963,f511]) ).
fof(f129,plain,
( e2 != op(e3,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 != op(e3,e0)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1) )
| ~ sP47 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1033,plain,
spl52_61,
inference(avatar_split_clause,[],[f474,f764]) ).
fof(f474,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f333,f325]) ).
fof(f333,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1032,plain,
( ~ spl52_65
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f311,f1029,f784]) ).
fof(f311,plain,
( e1 != op(e2,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1025,plain,
~ spl52_49,
inference(avatar_split_clause,[],[f486,f708]) ).
fof(f486,plain,
~ sP34,
inference(trivial_inequality_removal,[],[f389]) ).
fof(f389,plain,
( ~ sP34
| unit != unit ),
inference(definition_unfolding,[],[f183,f325]) ).
fof(f183,plain,
( e0 != unit
| ~ sP34 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e3 != unit
& e0 != unit
& e2 != unit
& e1 != unit )
| ~ sP34 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1024,plain,
( ~ spl52_33
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f367,f530,f634]) ).
fof(f367,plain,
( op(e3,e3) != unit
| ~ sP44 ),
inference(definition_unfolding,[],[f141,f325]) ).
fof(f141,plain,
( e0 != op(e3,e3)
| ~ sP44 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e0 != op(e2,e3)
& e0 != op(e0,e3)
& e0 != op(e1,e3)
& e0 != op(e3,e3) )
| ~ sP44 ),
inference(nnf_transformation,[],[f52]) ).
fof(f1023,plain,
spl52_1,
inference(avatar_split_clause,[],[f471,f489]) ).
fof(f471,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f340,f325]) ).
fof(f340,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1021,plain,
( ~ spl52_24
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f395,f625,f593]) ).
fof(f395,plain,
( e3 != op(e3,unit)
| ~ sP31 ),
inference(definition_unfolding,[],[f196,f325]) ).
fof(f196,plain,
( e3 != op(e3,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e3 != op(e3,e0)
& e1 != op(e3,e0)
& e2 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1020,plain,
( ~ spl52_59
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f387,f995,f755]) ).
fof(f387,plain,
( e3 != op(unit,e3)
| ~ sP35 ),
inference(definition_unfolding,[],[f178,f325]) ).
fof(f178,plain,
( e3 != op(e0,e3)
| ~ sP35 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e3)
& e3 != op(e0,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1019,plain,
( ~ spl52_19
| ~ spl52_63 ),
inference(avatar_split_clause,[],[f203,f773,f571]) ).
fof(f203,plain,
( e3 != op(e2,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1017,plain,
( ~ spl52_22
| ~ spl52_69 ),
inference(avatar_split_clause,[],[f356,f803,f584]) ).
fof(f356,plain,
( ~ sP49
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f124,f325]) ).
fof(f124,plain,
( e2 != op(e0,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(e0,e2)
& e3 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP49 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1016,plain,
( ~ spl52_91
| ~ spl52_63 ),
inference(avatar_split_clause,[],[f175,f773,f918]) ).
fof(f175,plain,
( e3 != op(e2,e2)
| ~ sP36 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e0,e2)
& e3 != op(e1,e2) )
| ~ sP36 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1008,plain,
( ~ spl52_56
| ~ spl52_36 ),
inference(avatar_split_clause,[],[f463,f648,f741]) ).
fof(f463,plain,
( ~ sP1
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f314,f325]) ).
fof(f314,plain,
( e2 != op(e2,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e2 != op(e0,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f966,plain,
( ~ spl52_4
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f320,f963,f502]) ).
fof(f320,plain,
( e2 != op(e3,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e2 != op(e3,e1)
& e1 != op(e3,e1)
& e3 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f961,plain,
( ~ spl52_97
| ~ spl52_98 ),
inference(avatar_split_clause,[],[f349,f958,f954]) ).
fof(f349,plain,
( ~ sP51
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f115,f325,f325,f325]) ).
fof(f115,plain,
( e0 != op(e0,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e1 != op(e0,e0)
& e0 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f59]) ).
fof(f941,plain,
spl52_85,
inference(avatar_split_clause,[],[f337,f885]) ).
fof(f337,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f940,plain,
( ~ spl52_51
| ~ spl52_28 ),
inference(avatar_split_clause,[],[f414,f611,f718]) ).
fof(f414,plain,
( ~ sP24
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f221,f325]) ).
fof(f221,plain,
( e1 != op(e1,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e2 != op(e1,e0)
& e0 != op(e1,e0)
& e3 != op(e1,e0)
& e1 != op(e1,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f32]) ).
fof(f934,plain,
( ~ spl52_39
| ~ spl52_74 ),
inference(avatar_split_clause,[],[f211,f826,f661]) ).
fof(f661,plain,
( spl52_39
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f211,plain,
( ~ sP27
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e0 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f35]) ).
fof(f927,plain,
spl52_39,
inference(avatar_split_clause,[],[f335,f661]) ).
fof(f335,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f898,plain,
( ~ spl52_7
| ~ spl52_79 ),
inference(avatar_split_clause,[],[f405,f853,f516]) ).
fof(f405,plain,
( ~ sP28
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f207,f325]) ).
fof(f207,plain,
( e1 != op(e0,e1)
| ~ sP28 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e3 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1)
& e2 != op(e0,e1) )
| ~ sP28 ),
inference(nnf_transformation,[],[f36]) ).
fof(f888,plain,
( ~ spl52_29
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f231,f885,f616]) ).
fof(f231,plain,
( e2 != op(e1,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e2 != op(e1,e2)
& e2 != op(e1,e3)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f30]) ).
fof(f878,plain,
spl52_51,
inference(avatar_split_clause,[],[f478,f718]) ).
fof(f478,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f329,f325]) ).
fof(f329,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f877,plain,
( ~ spl52_22
| ~ spl52_83 ),
inference(avatar_split_clause,[],[f370,f874,f584]) ).
fof(f370,plain,
( ~ sP41
| e2 != op(unit,e2) ),
inference(definition_unfolding,[],[f153,f325]) ).
fof(f153,plain,
( e2 != op(e0,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP41 ),
inference(nnf_transformation,[],[f49]) ).
fof(f862,plain,
( ~ spl52_80
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f139,f661,f859]) ).
fof(f139,plain,
( e1 != op(e3,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e1 != op(e2,e2)
& e1 != op(e3,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP45 ),
inference(nnf_transformation,[],[f53]) ).
fof(f851,plain,
( ~ spl52_67
| ~ spl52_51 ),
inference(avatar_split_clause,[],[f391,f718,f794]) ).
fof(f391,plain,
( e1 != op(e1,unit)
| ~ sP32 ),
inference(definition_unfolding,[],[f192,f325]) ).
fof(f192,plain,
( e1 != op(e1,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e1 != op(e1,e0)
& e1 != op(e0,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f40]) ).
fof(f850,plain,
( ~ spl52_1
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f369,f847,f489]) ).
fof(f369,plain,
( ~ sP42
| op(e2,e1) != unit ),
inference(definition_unfolding,[],[f151,f325]) ).
fof(f151,plain,
( e0 != op(e2,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e2 != op(e2,e1)
& e0 != op(e2,e1)
& e3 != op(e2,e1)
& e1 != op(e2,e1) )
| ~ sP42 ),
inference(nnf_transformation,[],[f50]) ).
fof(f830,plain,
spl52_10,
inference(avatar_split_clause,[],[f470,f530]) ).
fof(f470,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f341,f325]) ).
fof(f341,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f776,plain,
( ~ spl52_45
| ~ spl52_63 ),
inference(avatar_split_clause,[],[f279,f773,f688]) ).
fof(f279,plain,
( e3 != op(e2,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e1 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f771,plain,
( ~ spl52_61
| ~ spl52_62 ),
inference(avatar_split_clause,[],[f352,f768,f764]) ).
fof(f352,plain,
( ~ sP50
| op(e1,e2) != unit ),
inference(definition_unfolding,[],[f120,f325]) ).
fof(f120,plain,
( e0 != op(e1,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 != op(e1,e2)
& e0 != op(e1,e3)
& e0 != op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP50 ),
inference(nnf_transformation,[],[f58]) ).
fof(f748,plain,
( ~ spl52_56
| ~ spl52_57 ),
inference(avatar_split_clause,[],[f362,f745,f741]) ).
fof(f362,plain,
( ~ sP46
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f135,f325]) ).
fof(f135,plain,
( e2 != op(e2,e0)
| ~ sP46 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e0)
& e2 != op(e2,e1)
& e2 != op(e2,e2) )
| ~ sP46 ),
inference(nnf_transformation,[],[f54]) ).
fof(f725,plain,
( ~ spl52_51
| ~ spl52_52 ),
inference(avatar_split_clause,[],[f430,f722,f718]) ).
fof(f430,plain,
( ~ sP14
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f264,f325]) ).
fof(f264,plain,
( e1 != op(e1,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e1 != op(e1,e0)
& e1 != op(e1,e3)
& e1 != op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f716,plain,
( ~ spl52_35
| spl52_5 ),
inference(avatar_split_clause,[],[f226,f507,f643]) ).
fof(f226,plain,
( e2 = op(e3,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e2 = op(e0,e0)
& e2 = op(e2,e2)
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ~ sP23 ),
inference(nnf_transformation,[],[f31]) ).
fof(f692,plain,
spl52_31,
inference(avatar_split_clause,[],[f477,f625]) ).
fof(f477,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f330,f325]) ).
fof(f330,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f664,plain,
( ~ spl52_38
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f265,f661,f657]) ).
fof(f265,plain,
( e1 != op(e3,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e1 != op(e3,e1)
& e1 != op(e3,e3)
& e1 != op(e3,e0)
& e1 != op(e3,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f632,plain,
( ~ spl52_31
| ~ spl52_32 ),
inference(avatar_split_clause,[],[f451,f629,f625]) ).
fof(f451,plain,
( ~ sP5
| e3 != op(e3,unit) ),
inference(definition_unfolding,[],[f297,f325]) ).
fof(f297,plain,
( e3 != op(e3,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e3 != op(e2,e0)
& e3 != op(e0,e0)
& e3 != op(e1,e0)
& e3 != op(e3,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f587,plain,
( ~ spl52_21
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f440,f584,f580]) ).
fof(f440,plain,
( e2 != op(unit,e2)
| ~ sP9 ),
inference(definition_unfolding,[],[f282,f325]) ).
fof(f282,plain,
( e2 != op(e0,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e2 != op(e0,e0)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f569,plain,
( ~ spl52_17
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f257,f566,f562]) ).
fof(f257,plain,
( ~ sP15
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e3 != op(e2,e1)
& e3 != op(e3,e1)
& e3 != op(e0,e1)
& e3 != op(e1,e1) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f560,plain,
( ~ spl52_10
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f422,f557,f530]) ).
fof(f422,plain,
( ~ sP20
| op(e3,e3) != unit ),
inference(definition_unfolding,[],[f239,f325]) ).
fof(f239,plain,
( e0 != op(e3,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e0 != op(e3,e2)
& e0 != op(e3,e3)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
fof(f523,plain,
( ~ spl52_7
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f376,f520,f516]) ).
fof(f376,plain,
( ~ sP39
| e1 != op(unit,e1) ),
inference(definition_unfolding,[],[f163,f325]) ).
fof(f163,plain,
( e1 != op(e0,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e1)
& e1 != op(e0,e0)
& e1 != op(e0,e2) )
| ~ sP39 ),
inference(nnf_transformation,[],[f47]) ).
fof(f496,plain,
( ~ spl52_1
| ~ spl52_2 ),
inference(avatar_split_clause,[],[f379,f493,f489]) ).
fof(f379,plain,
( ~ sP38
| op(e2,e1) != unit ),
inference(definition_unfolding,[],[f168,f325]) ).
fof(f168,plain,
( e0 != op(e2,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e3,e1)
& e0 != op(e0,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:48:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (22558)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55 % (22557)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.56 % (22574)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.56 % (22566)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (22573)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.56 % (22566)Instruction limit reached!
% 0.19/0.56 % (22566)------------------------------
% 0.19/0.56 % (22566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (22565)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57 % (22566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (22566)Termination reason: Unknown
% 0.19/0.57 % (22566)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (22566)Memory used [KB]: 1535
% 0.19/0.57 % (22566)Time elapsed: 0.006 s
% 0.19/0.57 % (22566)Instructions burned: 7 (million)
% 0.19/0.57 % (22566)------------------------------
% 0.19/0.57 % (22566)------------------------------
% 1.69/0.58 % (22574)Refutation not found, incomplete strategy% (22574)------------------------------
% 1.69/0.58 % (22574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (22574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (22574)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.58
% 1.69/0.58 % (22574)Memory used [KB]: 1791
% 1.69/0.58 % (22574)Time elapsed: 0.152 s
% 1.69/0.58 % (22574)Instructions burned: 15 (million)
% 1.69/0.58 % (22574)------------------------------
% 1.69/0.58 % (22574)------------------------------
% 1.69/0.58 % (22565)Instruction limit reached!
% 1.69/0.58 % (22565)------------------------------
% 1.69/0.58 % (22565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (22565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (22565)Termination reason: Unknown
% 1.69/0.58 % (22565)Termination phase: Naming
% 1.69/0.58
% 1.69/0.58 % (22565)Memory used [KB]: 1535
% 1.69/0.58 % (22565)Time elapsed: 0.005 s
% 1.69/0.58 % (22565)Instructions burned: 3 (million)
% 1.69/0.58 % (22565)------------------------------
% 1.69/0.58 % (22565)------------------------------
% 1.69/0.58 % (22557)First to succeed.
% 1.69/0.59 % (22554)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.69/0.60 % (22555)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.69/0.60 % (22551)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.92/0.60 % (22556)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.92/0.61 % (22558)Also succeeded, but the first one will report.
% 1.92/0.61 % (22557)Refutation found. Thanks to Tanya!
% 1.92/0.61 % SZS status Theorem for theBenchmark
% 1.92/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.92/0.61 % (22557)------------------------------
% 1.92/0.61 % (22557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (22557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (22557)Termination reason: Refutation
% 1.92/0.61
% 1.92/0.61 % (22557)Memory used [KB]: 6780
% 1.92/0.61 % (22557)Time elapsed: 0.160 s
% 1.92/0.61 % (22557)Instructions burned: 15 (million)
% 1.92/0.61 % (22557)------------------------------
% 1.92/0.61 % (22557)------------------------------
% 1.92/0.61 % (22550)Success in time 0.254 s
%------------------------------------------------------------------------------