TSTP Solution File: ALG044+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG044+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:15:57 EDT 2024
% Result : Theorem 0.10s 0.36s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 160
% Syntax : Number of formulae : 570 ( 62 unt; 0 def)
% Number of atoms : 2610 (1622 equ)
% Maximal formula atoms : 220 ( 4 avg)
% Number of connectives : 3583 (1543 ~;1145 |; 791 &)
% ( 104 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 158 ( 156 usr; 157 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1132,plain,
$false,
inference(avatar_sat_refutation,[],[f492,f497,f502,f507,f512,f517,f522,f527,f532,f537,f542,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f597,f602,f611,f617,f622,f631,f641,f651,f661,f671,f681,f691,f701,f707,f712,f721,f727,f736,f746,f752,f757,f762,f771,f777,f782,f791,f797,f802,f807,f812,f821,f831,f837,f846,f856,f862,f867,f876,f886,f896,f906,f916,f926,f932,f937,f946,f952,f961,f967,f976,f986,f996,f1006,f1008,f1012,f1015,f1018,f1022,f1025,f1028,f1032,f1036,f1040,f1043,f1046,f1051,f1053,f1057,f1061,f1065,f1069,f1074,f1079,f1084,f1089,f1093,f1097,f1100,f1103,f1108,f1112,f1117,f1121,f1124,f1127,f1131]) ).
fof(f1131,plain,
( ~ spl52_24
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1129,f559,f604]) ).
fof(f604,plain,
( spl52_24
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f559,plain,
( spl52_15
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f1129,plain,
( ~ sP51
| ~ spl52_15 ),
inference(trivial_inequality_removal,[],[f1128]) ).
fof(f1128,plain,
( e3 != e3
| ~ sP51
| ~ spl52_15 ),
inference(forward_demodulation,[],[f348,f561]) ).
fof(f561,plain,
( e3 = op(e3,unit)
| ~ spl52_15 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f348,plain,
( e3 != op(e3,unit)
| ~ sP51 ),
inference(definition_unfolding,[],[f113,f325]) ).
fof(f325,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f113,plain,
( e3 != op(e3,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f1127,plain,
( spl52_5
| ~ spl52_10
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f1126,f1003,f534,f509]) ).
fof(f509,plain,
( spl52_5
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f534,plain,
( spl52_10
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f1003,plain,
( spl52_104
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f1126,plain,
( e3 = unit
| ~ spl52_10
| ~ spl52_104 ),
inference(forward_demodulation,[],[f1005,f536]) ).
fof(f536,plain,
( e3 = op(e2,e2)
| ~ spl52_10 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f1005,plain,
( op(e2,e2) = unit
| ~ spl52_104 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1124,plain,
( ~ spl52_101
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f1123,f599,f989]) ).
fof(f989,plain,
( spl52_101
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f599,plain,
( spl52_23
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f1123,plain,
( ~ sP4
| ~ spl52_23 ),
inference(trivial_inequality_removal,[],[f1122]) ).
fof(f1122,plain,
( unit != unit
| ~ sP4
| ~ spl52_23 ),
inference(forward_demodulation,[],[f458,f601]) ).
fof(f601,plain,
( unit = op(unit,unit)
| ~ spl52_23 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f458,plain,
( unit != op(unit,unit)
| ~ sP4 ),
inference(definition_unfolding,[],[f301,f325,f325,f325]) ).
fof(f301,plain,
( e0 != op(e0,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1121,plain,
( ~ spl52_99
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1120,f594,f979]) ).
fof(f979,plain,
( spl52_99
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f594,plain,
( spl52_22
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f1120,plain,
( ~ sP5
| ~ spl52_22 ),
inference(trivial_inequality_removal,[],[f1119]) ).
fof(f1119,plain,
( e1 != e1
| ~ sP5
| ~ spl52_22 ),
inference(forward_demodulation,[],[f453,f596]) ).
fof(f596,plain,
( e1 = op(unit,e1)
| ~ spl52_22 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f453,plain,
( e1 != op(unit,e1)
| ~ sP5 ),
inference(definition_unfolding,[],[f298,f325]) ).
fof(f298,plain,
( e1 != op(e0,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1117,plain,
( ~ spl52_97
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1116,f589,f969]) ).
fof(f969,plain,
( spl52_97
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f589,plain,
( spl52_21
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f1116,plain,
( ~ sP6
| ~ spl52_21 ),
inference(trivial_inequality_removal,[],[f1115]) ).
fof(f1115,plain,
( e2 != e2
| ~ sP6
| ~ spl52_21 ),
inference(forward_demodulation,[],[f448,f591]) ).
fof(f591,plain,
( e2 = op(unit,e2)
| ~ spl52_21 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f448,plain,
( e2 != op(unit,e2)
| ~ sP6 ),
inference(definition_unfolding,[],[f295,f325]) ).
fof(f295,plain,
( e2 != op(e0,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1112,plain,
( ~ spl52_94
| ~ spl52_19 ),
inference(avatar_split_clause,[],[f1111,f579,f954]) ).
fof(f954,plain,
( spl52_94
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f579,plain,
( spl52_19
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f1111,plain,
( ~ sP8
| ~ spl52_19 ),
inference(trivial_inequality_removal,[],[f1110]) ).
fof(f1110,plain,
( e1 != e1
| ~ sP8
| ~ spl52_19 ),
inference(forward_demodulation,[],[f441,f581]) ).
fof(f581,plain,
( e1 = op(e1,unit)
| ~ spl52_19 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f441,plain,
( e1 != op(e1,unit)
| ~ sP8 ),
inference(definition_unfolding,[],[f286,f325]) ).
fof(f286,plain,
( e1 != op(e1,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1108,plain,
( ~ spl52_91
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f1107,f569,f939]) ).
fof(f939,plain,
( spl52_91
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f569,plain,
( spl52_17
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f1107,plain,
( ~ sP12
| ~ spl52_17 ),
inference(trivial_inequality_removal,[],[f1106]) ).
fof(f1106,plain,
( e2 != e2
| ~ sP12
| ~ spl52_17 ),
inference(forward_demodulation,[],[f433,f571]) ).
fof(f571,plain,
( e2 = op(e2,unit)
| ~ spl52_17 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f433,plain,
( e2 != op(e2,unit)
| ~ sP12 ),
inference(definition_unfolding,[],[f271,f325]) ).
fof(f271,plain,
( e2 != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1103,plain,
( ~ spl52_87
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f1102,f599,f919]) ).
fof(f919,plain,
( spl52_87
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f1102,plain,
( ~ sP21
| ~ spl52_23 ),
inference(trivial_inequality_removal,[],[f1101]) ).
fof(f1101,plain,
( unit != unit
| ~ sP21
| ~ spl52_23 ),
inference(forward_demodulation,[],[f420,f601]) ).
fof(f420,plain,
( unit != op(unit,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f233,f325,f325,f325]) ).
fof(f233,plain,
( e0 != op(e0,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1100,plain,
( ~ spl52_85
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f1099,f599,f909]) ).
fof(f909,plain,
( spl52_85
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f1099,plain,
( ~ sP22
| ~ spl52_23 ),
inference(trivial_inequality_removal,[],[f1098]) ).
fof(f1098,plain,
( unit != unit
| ~ sP22
| ~ spl52_23 ),
inference(forward_demodulation,[],[f416,f601]) ).
fof(f416,plain,
( unit != op(unit,unit)
| ~ sP22 ),
inference(definition_unfolding,[],[f229,f325,f325,f325]) ).
fof(f229,plain,
( e0 != op(e0,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1097,plain,
( ~ spl52_83
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1096,f594,f899]) ).
fof(f899,plain,
( spl52_83
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f1096,plain,
( ~ sP23
| ~ spl52_22 ),
inference(trivial_inequality_removal,[],[f1095]) ).
fof(f1095,plain,
( e1 != e1
| ~ sP23
| ~ spl52_22 ),
inference(forward_demodulation,[],[f411,f596]) ).
fof(f411,plain,
( e1 != op(unit,e1)
| ~ sP23 ),
inference(definition_unfolding,[],[f226,f325]) ).
fof(f226,plain,
( e1 != op(e0,e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1093,plain,
( ~ spl52_81
| ~ spl52_19 ),
inference(avatar_split_clause,[],[f1092,f579,f889]) ).
fof(f889,plain,
( spl52_81
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).
fof(f1092,plain,
( ~ sP24
| ~ spl52_19 ),
inference(trivial_inequality_removal,[],[f1091]) ).
fof(f1091,plain,
( e1 != e1
| ~ sP24
| ~ spl52_19 ),
inference(forward_demodulation,[],[f407,f581]) ).
fof(f407,plain,
( e1 != op(e1,unit)
| ~ sP24 ),
inference(definition_unfolding,[],[f222,f325]) ).
fof(f222,plain,
( e1 != op(e1,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f1089,plain,
( ~ spl52_79
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1088,f589,f879]) ).
fof(f879,plain,
( spl52_79
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f1088,plain,
( ~ sP25
| ~ spl52_21 ),
inference(trivial_inequality_removal,[],[f1087]) ).
fof(f1087,plain,
( e2 != e2
| ~ sP25
| ~ spl52_21 ),
inference(forward_demodulation,[],[f402,f591]) ).
fof(f402,plain,
( e2 != op(unit,e2)
| ~ sP25 ),
inference(definition_unfolding,[],[f219,f325]) ).
fof(f219,plain,
( e2 != op(e0,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f1084,plain,
( ~ spl52_77
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f1083,f569,f869]) ).
fof(f869,plain,
( spl52_77
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f1083,plain,
( ~ sP26
| ~ spl52_17 ),
inference(trivial_inequality_removal,[],[f1082]) ).
fof(f1082,plain,
( e2 != e2
| ~ sP26
| ~ spl52_17 ),
inference(forward_demodulation,[],[f398,f571]) ).
fof(f398,plain,
( e2 != op(e2,unit)
| ~ sP26 ),
inference(definition_unfolding,[],[f215,f325]) ).
fof(f215,plain,
( e2 != op(e2,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1079,plain,
( ~ spl52_73
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f1078,f574,f849]) ).
fof(f849,plain,
( spl52_73
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f574,plain,
( spl52_18
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f1078,plain,
( ~ sP29
| ~ spl52_18 ),
inference(trivial_inequality_removal,[],[f1077]) ).
fof(f1077,plain,
( unit != unit
| ~ sP29
| ~ spl52_18 ),
inference(forward_demodulation,[],[f386,f576]) ).
fof(f576,plain,
( op(e1,e2) = unit
| ~ spl52_18 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f386,plain,
( op(e1,e2) != unit
| ~ sP29 ),
inference(definition_unfolding,[],[f203,f325]) ).
fof(f203,plain,
( e0 != op(e1,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1074,plain,
( ~ spl52_71
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1073,f564,f839]) ).
fof(f839,plain,
( spl52_71
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f564,plain,
( spl52_16
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f1073,plain,
( ~ sP30
| ~ spl52_16 ),
inference(trivial_inequality_removal,[],[f1072]) ).
fof(f1072,plain,
( unit != unit
| ~ sP30
| ~ spl52_16 ),
inference(forward_demodulation,[],[f382,f566]) ).
fof(f566,plain,
( op(e2,e1) = unit
| ~ spl52_16 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f382,plain,
( op(e2,e1) != unit
| ~ sP30 ),
inference(definition_unfolding,[],[f199,f325]) ).
fof(f199,plain,
( e0 != op(e2,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f1069,plain,
( ~ spl52_68
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1068,f564,f824]) ).
fof(f824,plain,
( spl52_68
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f1068,plain,
( ~ sP37
| ~ spl52_16 ),
inference(trivial_inequality_removal,[],[f1067]) ).
fof(f1067,plain,
( unit != unit
| ~ sP37
| ~ spl52_16 ),
inference(forward_demodulation,[],[f373,f566]) ).
fof(f373,plain,
( op(e2,e1) != unit
| ~ sP37 ),
inference(definition_unfolding,[],[f170,f325]) ).
fof(f170,plain,
( e0 != op(e2,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP37 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f1065,plain,
( ~ spl52_66
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f1064,f574,f814]) ).
fof(f814,plain,
( spl52_66
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f1064,plain,
( ~ sP38
| ~ spl52_18 ),
inference(trivial_inequality_removal,[],[f1063]) ).
fof(f1063,plain,
( unit != unit
| ~ sP38
| ~ spl52_18 ),
inference(forward_demodulation,[],[f369,f576]) ).
fof(f369,plain,
( op(e1,e2) != unit
| ~ sP38 ),
inference(definition_unfolding,[],[f166,f325]) ).
fof(f166,plain,
( e0 != op(e1,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f1061,plain,
( ~ spl52_63
| spl52_7
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f1058,f599,f519,f799]) ).
fof(f799,plain,
( spl52_63
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f519,plain,
( spl52_7
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f1058,plain,
( e1 = unit
| ~ sP1
| ~ spl52_23 ),
inference(forward_demodulation,[],[f461,f601]) ).
fof(f461,plain,
( e1 = op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f313,f325,f325]) ).
fof(f313,plain,
( e1 = op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1057,plain,
( ~ spl52_62
| spl52_6
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f1054,f599,f514,f794]) ).
fof(f794,plain,
( spl52_62
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f514,plain,
( spl52_6
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f1054,plain,
( e2 = unit
| ~ sP2
| ~ spl52_23 ),
inference(forward_demodulation,[],[f460,f601]) ).
fof(f460,plain,
( e2 = op(unit,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f309,f325,f325]) ).
fof(f309,plain,
( e2 = op(e0,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1053,plain,
( ~ spl52_60
| spl52_5
| ~ spl52_23 ),
inference(avatar_split_clause,[],[f1052,f599,f509,f784]) ).
fof(f784,plain,
( spl52_60
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f1052,plain,
( e3 = unit
| ~ sP3
| ~ spl52_23 ),
inference(forward_demodulation,[],[f459,f601]) ).
fof(f459,plain,
( e3 = op(unit,unit)
| ~ sP3 ),
inference(definition_unfolding,[],[f305,f325,f325]) ).
fof(f305,plain,
( e3 = op(e0,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1051,plain,
( ~ spl52_56
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f1050,f534,f764]) ).
fof(f764,plain,
( spl52_56
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f1050,plain,
( ~ sP14
| ~ spl52_10 ),
inference(trivial_inequality_removal,[],[f1049]) ).
fof(f1049,plain,
( e3 != e3
| ~ sP14
| ~ spl52_10 ),
inference(forward_demodulation,[],[f264,f536]) ).
fof(f264,plain,
( e3 != op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1046,plain,
( ~ spl52_51
| ~ spl52_14 ),
inference(avatar_split_clause,[],[f1045,f554,f739]) ).
fof(f739,plain,
( spl52_51
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f554,plain,
( spl52_14
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f1045,plain,
( ~ sP19
| ~ spl52_14 ),
inference(trivial_inequality_removal,[],[f1044]) ).
fof(f1044,plain,
( unit != unit
| ~ sP19
| ~ spl52_14 ),
inference(forward_demodulation,[],[f422,f556]) ).
fof(f556,plain,
( op(e3,e3) = unit
| ~ spl52_14 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f422,plain,
( op(e3,e3) != unit
| ~ sP19 ),
inference(definition_unfolding,[],[f241,f325]) ).
fof(f241,plain,
( e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1043,plain,
( ~ spl52_49
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1042,f594,f729]) ).
fof(f729,plain,
( spl52_49
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f1042,plain,
( ~ sP32
| ~ spl52_22 ),
inference(trivial_inequality_removal,[],[f1041]) ).
fof(f1041,plain,
( e1 != e1
| ~ sP32
| ~ spl52_22 ),
inference(forward_demodulation,[],[f379,f596]) ).
fof(f379,plain,
( e1 != op(unit,e1)
| ~ sP32 ),
inference(definition_unfolding,[],[f189,f325]) ).
fof(f189,plain,
( e1 != op(e0,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f1040,plain,
( ~ spl52_46
| ~ spl52_12 ),
inference(avatar_split_clause,[],[f1039,f544,f714]) ).
fof(f714,plain,
( spl52_46
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f544,plain,
( spl52_12
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f1039,plain,
( ~ sP34
| ~ spl52_12 ),
inference(trivial_inequality_removal,[],[f1038]) ).
fof(f1038,plain,
( e2 != e2
| ~ sP34
| ~ spl52_12 ),
inference(forward_demodulation,[],[f184,f546]) ).
fof(f546,plain,
( e2 = op(e3,e1)
| ~ spl52_12 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f184,plain,
( e2 != op(e3,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1036,plain,
( ~ spl52_42
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1035,f539,f694]) ).
fof(f694,plain,
( spl52_42
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f539,plain,
( spl52_11
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f1035,plain,
( ~ sP39
| ~ spl52_11 ),
inference(trivial_inequality_removal,[],[f1034]) ).
fof(f1034,plain,
( e1 != e1
| ~ sP39
| ~ spl52_11 ),
inference(forward_demodulation,[],[f164,f541]) ).
fof(f541,plain,
( e1 = op(e2,e3)
| ~ spl52_11 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f164,plain,
( e1 != op(e2,e3)
| ~ sP39 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP39 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f1032,plain,
( ~ spl52_40
| ~ spl52_13 ),
inference(avatar_split_clause,[],[f1031,f549,f684]) ).
fof(f684,plain,
( spl52_40
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f549,plain,
( spl52_13
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f1031,plain,
( ~ sP40
| ~ spl52_13 ),
inference(trivial_inequality_removal,[],[f1030]) ).
fof(f1030,plain,
( e1 != e1
| ~ sP40
| ~ spl52_13 ),
inference(forward_demodulation,[],[f160,f551]) ).
fof(f551,plain,
( e1 = op(e3,e2)
| ~ spl52_13 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f160,plain,
( e1 != op(e3,e2)
| ~ sP40 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP40 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f1028,plain,
( ~ spl52_38
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f1027,f569,f674]) ).
fof(f674,plain,
( spl52_38
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f1027,plain,
( ~ sP41
| ~ spl52_17 ),
inference(trivial_inequality_removal,[],[f1026]) ).
fof(f1026,plain,
( e2 != e2
| ~ sP41
| ~ spl52_17 ),
inference(forward_demodulation,[],[f364,f571]) ).
fof(f364,plain,
( e2 != op(e2,unit)
| ~ sP41 ),
inference(definition_unfolding,[],[f153,f325]) ).
fof(f153,plain,
( e2 != op(e2,e0)
| ~ sP41 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f1025,plain,
( ~ spl52_36
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1024,f589,f664]) ).
fof(f664,plain,
( spl52_36
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f1024,plain,
( ~ sP42
| ~ spl52_21 ),
inference(trivial_inequality_removal,[],[f1023]) ).
fof(f1023,plain,
( e2 != e2
| ~ sP42
| ~ spl52_21 ),
inference(forward_demodulation,[],[f363,f591]) ).
fof(f363,plain,
( e2 != op(unit,e2)
| ~ sP42 ),
inference(definition_unfolding,[],[f149,f325]) ).
fof(f149,plain,
( e2 != op(e0,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f1022,plain,
( ~ spl52_34
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f1021,f534,f654]) ).
fof(f654,plain,
( spl52_34
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f1021,plain,
( ~ sP43
| ~ spl52_10 ),
inference(trivial_inequality_removal,[],[f1020]) ).
fof(f1020,plain,
( e3 != e3
| ~ sP43
| ~ spl52_10 ),
inference(forward_demodulation,[],[f147,f536]) ).
fof(f147,plain,
( e3 != op(e2,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP43 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f1018,plain,
( ~ spl52_30
| ~ spl52_13 ),
inference(avatar_split_clause,[],[f1017,f549,f634]) ).
fof(f634,plain,
( spl52_30
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).
fof(f1017,plain,
( ~ sP47
| ~ spl52_13 ),
inference(trivial_inequality_removal,[],[f1016]) ).
fof(f1016,plain,
( e1 != e1
| ~ sP47
| ~ spl52_13 ),
inference(forward_demodulation,[],[f131,f551]) ).
fof(f131,plain,
( e1 != op(e3,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f1015,plain,
( ~ spl52_28
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1014,f539,f624]) ).
fof(f624,plain,
( spl52_28
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f1014,plain,
( ~ sP48
| ~ spl52_11 ),
inference(trivial_inequality_removal,[],[f1013]) ).
fof(f1013,plain,
( e1 != e1
| ~ sP48
| ~ spl52_11 ),
inference(forward_demodulation,[],[f127,f541]) ).
fof(f127,plain,
( e1 != op(e2,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP48 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f1012,plain,
( ~ spl52_32
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f1011,f534,f644]) ).
fof(f644,plain,
( spl52_32
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f1011,plain,
( ~ sP44
| ~ spl52_10 ),
inference(trivial_inequality_removal,[],[f1010]) ).
fof(f1010,plain,
( e3 != e3
| ~ sP44
| ~ spl52_10 ),
inference(forward_demodulation,[],[f143,f536]) ).
fof(f143,plain,
( e3 != op(e2,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP44 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f1008,plain,
( spl52_103
| spl52_63
| spl52_62
| spl52_60
| spl52_101
| spl52_99
| spl52_97
| spl52_96
| spl52_94
| spl52_59
| spl52_93
| spl52_58
| spl52_91
| spl52_90
| spl52_56
| spl52_55
| spl52_89
| spl52_54
| spl52_53
| spl52_51
| ~ spl52_23
| ~ spl52_22
| ~ spl52_19
| ~ spl52_21
| ~ spl52_17
| ~ spl52_15
| spl52_1
| spl52_87
| spl52_85
| spl52_83
| spl52_81
| spl52_79
| spl52_77
| spl52_76
| spl52_75
| spl52_73
| spl52_71
| spl52_70
| spl52_49
| spl52_48
| spl52_46
| spl52_45
| spl52_44
| spl52_68
| spl52_66
| spl52_42
| spl52_40
| spl52_38
| spl52_36
| spl52_34
| spl52_32
| spl52_65
| spl52_64
| spl52_30
| spl52_28
| spl52_27
| spl52_26
| spl52_24
| ~ spl52_20 ),
inference(avatar_split_clause,[],[f483,f584,f604,f614,f619,f624,f634,f804,f809,f644,f654,f664,f674,f684,f694,f814,f824,f704,f709,f714,f724,f729,f834,f839,f849,f859,f864,f869,f879,f889,f899,f909,f919,f489,f559,f569,f589,f579,f594,f599,f739,f749,f754,f929,f759,f764,f934,f939,f774,f949,f779,f954,f964,f969,f979,f989,f784,f794,f799,f999]) ).
fof(f999,plain,
( spl52_103
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f964,plain,
( spl52_96
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).
fof(f779,plain,
( spl52_59
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f949,plain,
( spl52_93
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).
fof(f774,plain,
( spl52_58
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f934,plain,
( spl52_90
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).
fof(f759,plain,
( spl52_55
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f929,plain,
( spl52_89
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).
fof(f754,plain,
( spl52_54
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f749,plain,
( spl52_53
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f489,plain,
( spl52_1
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f864,plain,
( spl52_76
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f859,plain,
( spl52_75
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f834,plain,
( spl52_70
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f724,plain,
( spl52_48
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f709,plain,
( spl52_45
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f704,plain,
( spl52_44
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f809,plain,
( spl52_65
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f804,plain,
( spl52_64
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f619,plain,
( spl52_27
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).
fof(f614,plain,
( spl52_26
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f584,plain,
( spl52_20
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f483,plain,
( e3 != op(unit,e3)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| e3 != op(e3,unit)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(duplicate_literal_removal,[],[f469]) ).
fof(f469,plain,
( e3 != op(unit,e3)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| unit != op(unit,unit)
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_unfolding,[],[f321,f325,f325,f325,f325,f325]) ).
fof(f321,plain,
( e3 != op(e0,e3)
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| 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,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f15,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
( ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f35,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
( ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f43,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,plain,
( ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f53,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f54,plain,
( ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f58,plain,
( ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f7,plain,
( ( e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
( ( e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| e3 != op(e3,unit)
| e3 != op(unit,e3)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| e0 != op(e0,unit)
| e0 != op(unit,e0)
| ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0) )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0) )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0) )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e0) )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0)
& ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e0,e0) )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e0) )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e0,e0) )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e0) )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e0,e0) )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| e1 = op(e0,e0) )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) )
& ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0)
& ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0)
| e0 = op(e0,e0) )
& ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1006,plain,
( ~ spl52_103
| spl52_104 ),
inference(avatar_split_clause,[],[f463,f1003,f999]) ).
fof(f463,plain,
( op(e2,e2) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f319,f325]) ).
fof(f319,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f996,plain,
( ~ spl52_101
| ~ spl52_102 ),
inference(avatar_split_clause,[],[f455,f993,f989]) ).
fof(f993,plain,
( spl52_102
<=> e3 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f455,plain,
( e3 != op(unit,unit)
| ~ sP4 ),
inference(definition_unfolding,[],[f304,f325,f325]) ).
fof(f304,plain,
( e3 != op(e0,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f986,plain,
( ~ spl52_99
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f451,f983,f979]) ).
fof(f983,plain,
( spl52_100
<=> e3 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).
fof(f451,plain,
( e3 != op(unit,e1)
| ~ sP5 ),
inference(definition_unfolding,[],[f300,f325]) ).
fof(f300,plain,
( e3 != op(e0,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f976,plain,
( ~ spl52_97
| ~ spl52_98 ),
inference(avatar_split_clause,[],[f447,f973,f969]) ).
fof(f973,plain,
( spl52_98
<=> e3 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f447,plain,
( e3 != op(unit,e2)
| ~ sP6 ),
inference(definition_unfolding,[],[f296,f325]) ).
fof(f296,plain,
( e3 != op(e0,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f106]) ).
fof(f967,plain,
( ~ spl52_96
| ~ spl52_20 ),
inference(avatar_split_clause,[],[f443,f584,f964]) ).
fof(f443,plain,
( e3 != op(unit,e3)
| ~ sP7 ),
inference(definition_unfolding,[],[f292,f325]) ).
fof(f292,plain,
( e3 != op(e0,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f961,plain,
( ~ spl52_94
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f439,f958,f954]) ).
fof(f958,plain,
( spl52_95
<=> e3 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f439,plain,
( e3 != op(e1,unit)
| ~ sP8 ),
inference(definition_unfolding,[],[f288,f325]) ).
fof(f288,plain,
( e3 != op(e1,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f104]) ).
fof(f952,plain,
( ~ spl52_93
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f437,f574,f949]) ).
fof(f437,plain,
( op(e1,e2) != unit
| ~ sP10 ),
inference(definition_unfolding,[],[f277,f325]) ).
fof(f277,plain,
( e0 != op(e1,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f946,plain,
( ~ spl52_91
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f432,f943,f939]) ).
fof(f943,plain,
( spl52_92
<=> e3 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f432,plain,
( e3 != op(e2,unit)
| ~ sP12 ),
inference(definition_unfolding,[],[f272,f325]) ).
fof(f272,plain,
( e3 != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f937,plain,
( ~ spl52_90
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f431,f564,f934]) ).
fof(f431,plain,
( op(e2,e1) != unit
| ~ sP13 ),
inference(definition_unfolding,[],[f265,f325]) ).
fof(f265,plain,
( e0 != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f932,plain,
( ~ spl52_89
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f425,f559,f929]) ).
fof(f425,plain,
( e3 != op(e3,unit)
| ~ sP16 ),
inference(definition_unfolding,[],[f256,f325]) ).
fof(f256,plain,
( e3 != op(e3,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f926,plain,
( ~ spl52_87
| ~ spl52_88 ),
inference(avatar_split_clause,[],[f417,f923,f919]) ).
fof(f923,plain,
( spl52_88
<=> unit = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).
fof(f417,plain,
( unit != op(unit,e3)
| ~ sP21 ),
inference(definition_unfolding,[],[f236,f325,f325]) ).
fof(f236,plain,
( e0 != op(e0,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f91]) ).
fof(f916,plain,
( ~ spl52_85
| ~ spl52_86 ),
inference(avatar_split_clause,[],[f413,f913,f909]) ).
fof(f913,plain,
( spl52_86
<=> unit = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f413,plain,
( unit != op(e3,unit)
| ~ sP22 ),
inference(definition_unfolding,[],[f232,f325,f325]) ).
fof(f232,plain,
( e0 != op(e3,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f90]) ).
fof(f906,plain,
( ~ spl52_83
| ~ spl52_84 ),
inference(avatar_split_clause,[],[f409,f903,f899]) ).
fof(f903,plain,
( spl52_84
<=> e1 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f409,plain,
( e1 != op(unit,e3)
| ~ sP23 ),
inference(definition_unfolding,[],[f228,f325]) ).
fof(f228,plain,
( e1 != op(e0,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f89]) ).
fof(f896,plain,
( ~ spl52_81
| ~ spl52_82 ),
inference(avatar_split_clause,[],[f405,f893,f889]) ).
fof(f893,plain,
( spl52_82
<=> e1 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f405,plain,
( e1 != op(e3,unit)
| ~ sP24 ),
inference(definition_unfolding,[],[f224,f325]) ).
fof(f224,plain,
( e1 != op(e3,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f88]) ).
fof(f886,plain,
( ~ spl52_79
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f401,f883,f879]) ).
fof(f883,plain,
( spl52_80
<=> e2 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f401,plain,
( e2 != op(unit,e3)
| ~ sP25 ),
inference(definition_unfolding,[],[f220,f325]) ).
fof(f220,plain,
( e2 != op(e0,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f87]) ).
fof(f876,plain,
( ~ spl52_77
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f397,f873,f869]) ).
fof(f873,plain,
( spl52_78
<=> e2 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f397,plain,
( e2 != op(e3,unit)
| ~ sP26 ),
inference(definition_unfolding,[],[f216,f325]) ).
fof(f216,plain,
( e2 != op(e3,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f86]) ).
fof(f867,plain,
( ~ spl52_76
| ~ spl52_20 ),
inference(avatar_split_clause,[],[f393,f584,f864]) ).
fof(f393,plain,
( e3 != op(unit,e3)
| ~ sP27 ),
inference(definition_unfolding,[],[f212,f325]) ).
fof(f212,plain,
( e3 != op(e0,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f35]) ).
fof(f862,plain,
( ~ spl52_75
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f389,f559,f859]) ).
fof(f389,plain,
( e3 != op(e3,unit)
| ~ sP28 ),
inference(definition_unfolding,[],[f208,f325]) ).
fof(f208,plain,
( e3 != op(e3,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f36]) ).
fof(f856,plain,
( ~ spl52_73
| ~ spl52_74 ),
inference(avatar_split_clause,[],[f385,f853,f849]) ).
fof(f853,plain,
( spl52_74
<=> op(e1,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f385,plain,
( op(e1,e3) != unit
| ~ sP29 ),
inference(definition_unfolding,[],[f204,f325]) ).
fof(f204,plain,
( e0 != op(e1,e3)
| ~ sP29 ),
inference(cnf_transformation,[],[f83]) ).
fof(f846,plain,
( ~ spl52_71
| ~ spl52_72 ),
inference(avatar_split_clause,[],[f381,f843,f839]) ).
fof(f843,plain,
( spl52_72
<=> op(e3,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f381,plain,
( op(e3,e1) != unit
| ~ sP30 ),
inference(definition_unfolding,[],[f200,f325]) ).
fof(f200,plain,
( e0 != op(e3,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f82]) ).
fof(f837,plain,
( ~ spl52_70
| ~ spl52_19 ),
inference(avatar_split_clause,[],[f380,f579,f834]) ).
fof(f380,plain,
( e1 != op(e1,unit)
| ~ sP31 ),
inference(definition_unfolding,[],[f193,f325]) ).
fof(f193,plain,
( e1 != op(e1,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f39]) ).
fof(f831,plain,
( ~ spl52_68
| ~ spl52_69 ),
inference(avatar_split_clause,[],[f371,f828,f824]) ).
fof(f828,plain,
( spl52_69
<=> op(e2,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f371,plain,
( op(e2,e3) != unit
| ~ sP37 ),
inference(definition_unfolding,[],[f172,f325]) ).
fof(f172,plain,
( e0 != op(e2,e3)
| ~ sP37 ),
inference(cnf_transformation,[],[f75]) ).
fof(f821,plain,
( ~ spl52_66
| ~ spl52_67 ),
inference(avatar_split_clause,[],[f367,f818,f814]) ).
fof(f818,plain,
( spl52_67
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f367,plain,
( op(e3,e2) != unit
| ~ sP38 ),
inference(definition_unfolding,[],[f168,f325]) ).
fof(f168,plain,
( e0 != op(e3,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f74]) ).
fof(f812,plain,
( ~ spl52_65
| ~ spl52_14 ),
inference(avatar_split_clause,[],[f357,f554,f809]) ).
fof(f357,plain,
( op(e3,e3) != unit
| ~ sP45 ),
inference(definition_unfolding,[],[f140,f325]) ).
fof(f140,plain,
( e0 != op(e3,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP45 ),
inference(nnf_transformation,[],[f53]) ).
fof(f807,plain,
( ~ spl52_64
| ~ spl52_14 ),
inference(avatar_split_clause,[],[f353,f554,f804]) ).
fof(f353,plain,
( op(e3,e3) != unit
| ~ sP46 ),
inference(definition_unfolding,[],[f136,f325]) ).
fof(f136,plain,
( e0 != op(e3,e3)
| ~ sP46 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP46 ),
inference(nnf_transformation,[],[f54]) ).
fof(f802,plain,
( ~ spl52_63
| spl52_50 ),
inference(avatar_split_clause,[],[f314,f733,f799]) ).
fof(f733,plain,
( spl52_50
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f314,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f797,plain,
( ~ spl52_62
| spl52_47 ),
inference(avatar_split_clause,[],[f310,f718,f794]) ).
fof(f718,plain,
( spl52_47
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f310,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f791,plain,
( ~ spl52_60
| spl52_61 ),
inference(avatar_split_clause,[],[f308,f788,f784]) ).
fof(f788,plain,
( spl52_61
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f308,plain,
( e3 = op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f782,plain,
( ~ spl52_59
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f284,f524,f779]) ).
fof(f524,plain,
( spl52_8
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f284,plain,
( e3 != op(e1,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f777,plain,
( ~ spl52_58
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f275,f529,f774]) ).
fof(f529,plain,
( spl52_9
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f275,plain,
( e2 != op(e1,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f771,plain,
( ~ spl52_56
| ~ spl52_57 ),
inference(avatar_split_clause,[],[f262,f768,f764]) ).
fof(f768,plain,
( spl52_57
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f262,plain,
( e1 != op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f98]) ).
fof(f762,plain,
( ~ spl52_55
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f258,f539,f759]) ).
fof(f258,plain,
( e1 != op(e2,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f757,plain,
( ~ spl52_54
| ~ spl52_12 ),
inference(avatar_split_clause,[],[f251,f544,f754]) ).
fof(f251,plain,
( e2 != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f752,plain,
( ~ spl52_53
| ~ spl52_13 ),
inference(avatar_split_clause,[],[f246,f549,f749]) ).
fof(f246,plain,
( e1 != op(e3,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f746,plain,
( ~ spl52_51
| ~ spl52_52 ),
inference(avatar_split_clause,[],[f242,f743,f739]) ).
fof(f743,plain,
( spl52_52
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f242,plain,
( e1 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f93]) ).
fof(f736,plain,
( ~ spl52_49
| ~ spl52_50 ),
inference(avatar_split_clause,[],[f190,f733,f729]) ).
fof(f190,plain,
( e1 != op(e1,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f80]) ).
fof(f727,plain,
( ~ spl52_48
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f188,f529,f724]) ).
fof(f188,plain,
( e2 != op(e1,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f41]) ).
fof(f721,plain,
( ~ spl52_46
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f182,f718,f714]) ).
fof(f182,plain,
( e2 != op(e1,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f78]) ).
fof(f712,plain,
( ~ spl52_45
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f178,f524,f709]) ).
fof(f178,plain,
( e3 != op(e1,e1)
| ~ sP35 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f43]) ).
fof(f707,plain,
( ~ spl52_44
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f174,f524,f704]) ).
fof(f174,plain,
( e3 != op(e1,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f44]) ).
fof(f701,plain,
( ~ spl52_42
| ~ spl52_43 ),
inference(avatar_split_clause,[],[f162,f698,f694]) ).
fof(f698,plain,
( spl52_43
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f162,plain,
( e1 != op(e2,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f73]) ).
fof(f691,plain,
( ~ spl52_40
| ~ spl52_41 ),
inference(avatar_split_clause,[],[f158,f688,f684]) ).
fof(f688,plain,
( spl52_41
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f158,plain,
( e1 != op(e1,e2)
| ~ sP40 ),
inference(cnf_transformation,[],[f72]) ).
fof(f681,plain,
( ~ spl52_38
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f154,f678,f674]) ).
fof(f678,plain,
( spl52_39
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f154,plain,
( e2 != op(e2,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f71]) ).
fof(f671,plain,
( ~ spl52_36
| ~ spl52_37 ),
inference(avatar_split_clause,[],[f150,f668,f664]) ).
fof(f668,plain,
( spl52_37
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f150,plain,
( e2 != op(e1,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f70]) ).
fof(f661,plain,
( ~ spl52_34
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f146,f658,f654]) ).
fof(f658,plain,
( spl52_35
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f146,plain,
( e3 != op(e2,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f69]) ).
fof(f651,plain,
( ~ spl52_32
| ~ spl52_33 ),
inference(avatar_split_clause,[],[f142,f648,f644]) ).
fof(f648,plain,
( spl52_33
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f142,plain,
( e3 != op(e1,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f68]) ).
fof(f641,plain,
( ~ spl52_30
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f130,f638,f634]) ).
fof(f638,plain,
( spl52_31
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f130,plain,
( e1 != op(e3,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f65]) ).
fof(f631,plain,
( ~ spl52_28
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f126,f628,f624]) ).
fof(f628,plain,
( spl52_29
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f126,plain,
( e1 != op(e1,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f64]) ).
fof(f622,plain,
( ~ spl52_27
| ~ spl52_12 ),
inference(avatar_split_clause,[],[f122,f544,f619]) ).
fof(f122,plain,
( e2 != op(e3,e1)
| ~ sP49 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f57]) ).
fof(f617,plain,
( ~ spl52_26
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f118,f529,f614]) ).
fof(f118,plain,
( e2 != op(e1,e3)
| ~ sP50 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP50 ),
inference(nnf_transformation,[],[f58]) ).
fof(f611,plain,
( ~ spl52_24
| ~ spl52_25 ),
inference(avatar_split_clause,[],[f114,f608,f604]) ).
fof(f608,plain,
( spl52_25
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f114,plain,
( e3 != op(e3,e1)
| ~ sP51 ),
inference(cnf_transformation,[],[f61]) ).
fof(f602,plain,
spl52_23,
inference(avatar_split_clause,[],[f482,f599]) ).
fof(f482,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f332,f325,f325,f325]) ).
fof(f332,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e3,e3)
& e1 = op(e3,e2)
& e2 = op(e3,e1)
& e3 = op(e3,e0)
& e1 = op(e2,e3)
& e3 = op(e2,e2)
& e0 = op(e2,e1)
& e2 = op(e2,e0)
& e2 = op(e1,e3)
& e0 = op(e1,e2)
& e3 = op(e1,e1)
& e1 = op(e1,e0)
& e3 = op(e0,e3)
& e2 = op(e0,e2)
& e1 = op(e0,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f597,plain,
spl52_22,
inference(avatar_split_clause,[],[f481,f594]) ).
fof(f481,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f333,f325]) ).
fof(f333,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f592,plain,
spl52_21,
inference(avatar_split_clause,[],[f480,f589]) ).
fof(f480,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f334,f325]) ).
fof(f334,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f587,plain,
spl52_20,
inference(avatar_split_clause,[],[f479,f584]) ).
fof(f479,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f335,f325]) ).
fof(f335,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f582,plain,
spl52_19,
inference(avatar_split_clause,[],[f478,f579]) ).
fof(f478,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f336,f325]) ).
fof(f336,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f577,plain,
spl52_18,
inference(avatar_split_clause,[],[f477,f574]) ).
fof(f477,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f338,f325]) ).
fof(f338,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f572,plain,
spl52_17,
inference(avatar_split_clause,[],[f476,f569]) ).
fof(f476,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f340,f325]) ).
fof(f340,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f567,plain,
spl52_16,
inference(avatar_split_clause,[],[f475,f564]) ).
fof(f475,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f341,f325]) ).
fof(f341,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f562,plain,
spl52_15,
inference(avatar_split_clause,[],[f474,f559]) ).
fof(f474,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f344,f325]) ).
fof(f344,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f557,plain,
spl52_14,
inference(avatar_split_clause,[],[f473,f554]) ).
fof(f473,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f347,f325]) ).
fof(f347,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f552,plain,
spl52_13,
inference(avatar_split_clause,[],[f346,f549]) ).
fof(f346,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f547,plain,
spl52_12,
inference(avatar_split_clause,[],[f345,f544]) ).
fof(f345,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f542,plain,
spl52_11,
inference(avatar_split_clause,[],[f343,f539]) ).
fof(f343,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f537,plain,
spl52_10,
inference(avatar_split_clause,[],[f342,f534]) ).
fof(f342,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f532,plain,
spl52_9,
inference(avatar_split_clause,[],[f339,f529]) ).
fof(f339,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f527,plain,
spl52_8,
inference(avatar_split_clause,[],[f337,f524]) ).
fof(f337,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f522,plain,
~ spl52_7,
inference(avatar_split_clause,[],[f472,f519]) ).
fof(f472,plain,
e1 != unit,
inference(definition_unfolding,[],[f326,f325]) ).
fof(f326,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f517,plain,
~ spl52_6,
inference(avatar_split_clause,[],[f471,f514]) ).
fof(f471,plain,
e2 != unit,
inference(definition_unfolding,[],[f327,f325]) ).
fof(f327,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f512,plain,
~ spl52_5,
inference(avatar_split_clause,[],[f470,f509]) ).
fof(f470,plain,
e3 != unit,
inference(definition_unfolding,[],[f328,f325]) ).
fof(f328,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f507,plain,
~ spl52_4,
inference(avatar_split_clause,[],[f331,f504]) ).
fof(f504,plain,
( spl52_4
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f331,plain,
e2 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f502,plain,
~ spl52_3,
inference(avatar_split_clause,[],[f330,f499]) ).
fof(f499,plain,
( spl52_3
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f330,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f497,plain,
~ spl52_2,
inference(avatar_split_clause,[],[f329,f494]) ).
fof(f494,plain,
( spl52_2
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f329,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f492,plain,
~ spl52_1,
inference(avatar_split_clause,[],[f487,f489]) ).
fof(f487,plain,
~ sP20,
inference(trivial_inequality_removal,[],[f421]) ).
fof(f421,plain,
( unit != unit
| ~ sP20 ),
inference(definition_unfolding,[],[f237,f325]) ).
fof(f237,plain,
( e0 != unit
| ~ sP20 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ALG044+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 19:54:23 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (11652)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (11655)WARNING: value z3 for option sas not known
% 0.10/0.34 % (11659)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.34 % (11655)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (11653)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34 % (11656)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (11657)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.34 % (11654)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (11658)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.35 % (11657)First to succeed.
% 0.10/0.35 % (11659)Also succeeded, but the first one will report.
% 0.10/0.35 % (11655)Also succeeded, but the first one will report.
% 0.10/0.36 % (11658)Also succeeded, but the first one will report.
% 0.10/0.36 % (11657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11652"
% 0.10/0.36 % (11657)Refutation found. Thanks to Tanya!
% 0.10/0.36 % SZS status Theorem for theBenchmark
% 0.10/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.36 % (11657)------------------------------
% 0.10/0.36 % (11657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.36 % (11657)Termination reason: Refutation
% 0.10/0.36
% 0.10/0.36 % (11657)Memory used [KB]: 1236
% 0.10/0.36 % (11657)Time elapsed: 0.023 s
% 0.10/0.36 % (11657)Instructions burned: 44 (million)
% 0.10/0.37 % (11652)Success in time 0.044 s
%------------------------------------------------------------------------------