TSTP Solution File: ALG043+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG043+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Mon May 20 18:23:05 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 151
% Syntax : Number of formulae : 540 ( 62 unt; 0 def)
% Number of atoms : 2351 (1405 equ)
% Maximal formula atoms : 220 ( 4 avg)
% Number of connectives : 3208 (1397 ~;1108 |; 605 &)
% ( 98 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 149 ( 147 usr; 148 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1068,plain,
$false,
inference(avatar_sat_refutation,[],[f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f589,f595,f600,f609,f619,f625,f630,f639,f649,f659,f669,f679,f685,f694,f700,f709,f719,f725,f730,f735,f744,f750,f755,f760,f765,f770,f779,f789,f795,f804,f814,f820,f825,f834,f844,f854,f864,f874,f884,f890,f899,f905,f914,f920,f929,f939,f949,f955,f958,f961,f964,f967,f971,f975,f979,f983,f986,f989,f992,f997,f1002,f1006,f1010,f1015,f1020,f1024,f1028,f1031,f1034,f1039,f1043,f1048,f1052,f1055,f1064,f1067]) ).
fof(f1067,plain,
( ~ spl49_24
| ~ spl49_15 ),
inference(avatar_split_clause,[],[f1066,f537,f582]) ).
fof(f582,plain,
( spl49_24
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_24])]) ).
fof(f537,plain,
( spl49_15
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_15])]) ).
fof(f1066,plain,
( ~ sP48
| ~ spl49_15 ),
inference(trivial_inequality_removal,[],[f1065]) ).
fof(f1065,plain,
( e3 != e3
| ~ sP48
| ~ spl49_15 ),
inference(forward_demodulation,[],[f329,f539]) ).
fof(f539,plain,
( e3 = op(e3,unit)
| ~ spl49_15 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f329,plain,
( e3 != op(e3,unit)
| ~ sP48 ),
inference(definition_unfolding,[],[f106,f306]) ).
fof(f306,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f106,plain,
( e3 != op(e3,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f1064,plain,
( ~ spl49_98
| ~ spl49_14
| ~ spl49_16
| ~ spl49_18
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f1063,f577,f552,f542,f532,f952]) ).
fof(f952,plain,
( spl49_98
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_98])]) ).
fof(f532,plain,
( spl49_14
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_14])]) ).
fof(f542,plain,
( spl49_16
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_16])]) ).
fof(f552,plain,
( spl49_18
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_18])]) ).
fof(f577,plain,
( spl49_23
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_23])]) ).
fof(f1063,plain,
( ~ sP0
| ~ spl49_14
| ~ spl49_16
| ~ spl49_18
| ~ spl49_23 ),
inference(trivial_inequality_removal,[],[f1062]) ).
fof(f1062,plain,
( unit != unit
| ~ sP0
| ~ spl49_14
| ~ spl49_16
| ~ spl49_18
| ~ spl49_23 ),
inference(forward_demodulation,[],[f1061,f579]) ).
fof(f579,plain,
( unit = op(unit,unit)
| ~ spl49_23 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f1061,plain,
( unit != op(unit,unit)
| ~ sP0
| ~ spl49_14
| ~ spl49_16
| ~ spl49_18 ),
inference(trivial_inequality_removal,[],[f1060]) ).
fof(f1060,plain,
( unit != unit
| unit != op(unit,unit)
| ~ sP0
| ~ spl49_14
| ~ spl49_16
| ~ spl49_18 ),
inference(forward_demodulation,[],[f1059,f554]) ).
fof(f554,plain,
( op(e1,e1) = unit
| ~ spl49_18 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f1059,plain,
( op(e1,e1) != unit
| unit != op(unit,unit)
| ~ sP0
| ~ spl49_14
| ~ spl49_16 ),
inference(trivial_inequality_removal,[],[f1058]) ).
fof(f1058,plain,
( unit != unit
| op(e1,e1) != unit
| unit != op(unit,unit)
| ~ sP0
| ~ spl49_14
| ~ spl49_16 ),
inference(forward_demodulation,[],[f1057,f544]) ).
fof(f544,plain,
( op(e2,e2) = unit
| ~ spl49_16 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1057,plain,
( op(e2,e2) != unit
| op(e1,e1) != unit
| unit != op(unit,unit)
| ~ sP0
| ~ spl49_14 ),
inference(trivial_inequality_removal,[],[f1056]) ).
fof(f1056,plain,
( unit != unit
| op(e2,e2) != unit
| op(e1,e1) != unit
| unit != op(unit,unit)
| ~ sP0
| ~ spl49_14 ),
inference(forward_demodulation,[],[f443,f534]) ).
fof(f534,plain,
( op(e3,e3) = unit
| ~ spl49_14 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f443,plain,
( op(e3,e3) != unit
| op(e2,e2) != unit
| op(e1,e1) != unit
| unit != op(unit,unit)
| ~ sP0 ),
inference(definition_unfolding,[],[f298,f306,f306,f306,f306,f306,f306]) ).
fof(f298,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( ( 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) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( ( 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) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1055,plain,
( ~ spl49_96
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f1054,f577,f942]) ).
fof(f942,plain,
( spl49_96
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_96])]) ).
fof(f1054,plain,
( ~ sP1
| ~ spl49_23 ),
inference(trivial_inequality_removal,[],[f1053]) ).
fof(f1053,plain,
( unit != unit
| ~ sP1
| ~ spl49_23 ),
inference(forward_demodulation,[],[f439,f579]) ).
fof(f439,plain,
( unit != op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f294,f306,f306,f306]) ).
fof(f294,plain,
( e0 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1052,plain,
( ~ spl49_94
| ~ spl49_22 ),
inference(avatar_split_clause,[],[f1051,f572,f932]) ).
fof(f932,plain,
( spl49_94
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_94])]) ).
fof(f572,plain,
( spl49_22
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_22])]) ).
fof(f1051,plain,
( ~ sP2
| ~ spl49_22 ),
inference(trivial_inequality_removal,[],[f1050]) ).
fof(f1050,plain,
( e1 != e1
| ~ sP2
| ~ spl49_22 ),
inference(forward_demodulation,[],[f434,f574]) ).
fof(f574,plain,
( e1 = op(unit,e1)
| ~ spl49_22 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f434,plain,
( e1 != op(unit,e1)
| ~ sP2 ),
inference(definition_unfolding,[],[f291,f306]) ).
fof(f291,plain,
( e1 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1048,plain,
( ~ spl49_92
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f1047,f567,f922]) ).
fof(f922,plain,
( spl49_92
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_92])]) ).
fof(f567,plain,
( spl49_21
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_21])]) ).
fof(f1047,plain,
( ~ sP3
| ~ spl49_21 ),
inference(trivial_inequality_removal,[],[f1046]) ).
fof(f1046,plain,
( e2 != e2
| ~ sP3
| ~ spl49_21 ),
inference(forward_demodulation,[],[f429,f569]) ).
fof(f569,plain,
( e2 = op(unit,e2)
| ~ spl49_21 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f429,plain,
( e2 != op(unit,e2)
| ~ sP3 ),
inference(definition_unfolding,[],[f288,f306]) ).
fof(f288,plain,
( e2 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1043,plain,
( ~ spl49_89
| ~ spl49_19 ),
inference(avatar_split_clause,[],[f1042,f557,f907]) ).
fof(f907,plain,
( spl49_89
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_89])]) ).
fof(f557,plain,
( spl49_19
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_19])]) ).
fof(f1042,plain,
( ~ sP5
| ~ spl49_19 ),
inference(trivial_inequality_removal,[],[f1041]) ).
fof(f1041,plain,
( e1 != e1
| ~ sP5
| ~ spl49_19 ),
inference(forward_demodulation,[],[f422,f559]) ).
fof(f559,plain,
( e1 = op(e1,unit)
| ~ spl49_19 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f422,plain,
( e1 != op(e1,unit)
| ~ sP5 ),
inference(definition_unfolding,[],[f279,f306]) ).
fof(f279,plain,
( e1 != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1039,plain,
( ~ spl49_86
| ~ spl49_17 ),
inference(avatar_split_clause,[],[f1038,f547,f892]) ).
fof(f892,plain,
( spl49_86
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_86])]) ).
fof(f547,plain,
( spl49_17
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_17])]) ).
fof(f1038,plain,
( ~ sP9
| ~ spl49_17 ),
inference(trivial_inequality_removal,[],[f1037]) ).
fof(f1037,plain,
( e2 != e2
| ~ sP9
| ~ spl49_17 ),
inference(forward_demodulation,[],[f414,f549]) ).
fof(f549,plain,
( e2 = op(e2,unit)
| ~ spl49_17 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f414,plain,
( e2 != op(e2,unit)
| ~ sP9 ),
inference(definition_unfolding,[],[f264,f306]) ).
fof(f264,plain,
( e2 != op(e2,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1034,plain,
( ~ spl49_83
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f1033,f577,f877]) ).
fof(f877,plain,
( spl49_83
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_83])]) ).
fof(f1033,plain,
( ~ sP18
| ~ spl49_23 ),
inference(trivial_inequality_removal,[],[f1032]) ).
fof(f1032,plain,
( unit != unit
| ~ sP18
| ~ spl49_23 ),
inference(forward_demodulation,[],[f401,f579]) ).
fof(f401,plain,
( unit != op(unit,unit)
| ~ sP18 ),
inference(definition_unfolding,[],[f226,f306,f306,f306]) ).
fof(f226,plain,
( e0 != op(e0,e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1031,plain,
( ~ spl49_81
| ~ spl49_23 ),
inference(avatar_split_clause,[],[f1030,f577,f867]) ).
fof(f867,plain,
( spl49_81
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_81])]) ).
fof(f1030,plain,
( ~ sP19
| ~ spl49_23 ),
inference(trivial_inequality_removal,[],[f1029]) ).
fof(f1029,plain,
( unit != unit
| ~ sP19
| ~ spl49_23 ),
inference(forward_demodulation,[],[f397,f579]) ).
fof(f397,plain,
( unit != op(unit,unit)
| ~ sP19 ),
inference(definition_unfolding,[],[f222,f306,f306,f306]) ).
fof(f222,plain,
( e0 != op(e0,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1028,plain,
( ~ spl49_79
| ~ spl49_22 ),
inference(avatar_split_clause,[],[f1027,f572,f857]) ).
fof(f857,plain,
( spl49_79
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_79])]) ).
fof(f1027,plain,
( ~ sP20
| ~ spl49_22 ),
inference(trivial_inequality_removal,[],[f1026]) ).
fof(f1026,plain,
( e1 != e1
| ~ sP20
| ~ spl49_22 ),
inference(forward_demodulation,[],[f392,f574]) ).
fof(f392,plain,
( e1 != op(unit,e1)
| ~ sP20 ),
inference(definition_unfolding,[],[f219,f306]) ).
fof(f219,plain,
( e1 != op(e0,e1)
| ~ sP20 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1024,plain,
( ~ spl49_77
| ~ spl49_19 ),
inference(avatar_split_clause,[],[f1023,f557,f847]) ).
fof(f847,plain,
( spl49_77
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_77])]) ).
fof(f1023,plain,
( ~ sP21
| ~ spl49_19 ),
inference(trivial_inequality_removal,[],[f1022]) ).
fof(f1022,plain,
( e1 != e1
| ~ sP21
| ~ spl49_19 ),
inference(forward_demodulation,[],[f388,f559]) ).
fof(f388,plain,
( e1 != op(e1,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f215,f306]) ).
fof(f215,plain,
( e1 != op(e1,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1020,plain,
( ~ spl49_75
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f1019,f567,f837]) ).
fof(f837,plain,
( spl49_75
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_75])]) ).
fof(f1019,plain,
( ~ sP22
| ~ spl49_21 ),
inference(trivial_inequality_removal,[],[f1018]) ).
fof(f1018,plain,
( e2 != e2
| ~ sP22
| ~ spl49_21 ),
inference(forward_demodulation,[],[f383,f569]) ).
fof(f383,plain,
( e2 != op(unit,e2)
| ~ sP22 ),
inference(definition_unfolding,[],[f212,f306]) ).
fof(f212,plain,
( e2 != op(e0,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1015,plain,
( ~ spl49_73
| ~ spl49_17 ),
inference(avatar_split_clause,[],[f1014,f547,f827]) ).
fof(f827,plain,
( spl49_73
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_73])]) ).
fof(f1014,plain,
( ~ sP23
| ~ spl49_17 ),
inference(trivial_inequality_removal,[],[f1013]) ).
fof(f1013,plain,
( e2 != e2
| ~ sP23
| ~ spl49_17 ),
inference(forward_demodulation,[],[f379,f549]) ).
fof(f379,plain,
( e2 != op(e2,unit)
| ~ sP23 ),
inference(definition_unfolding,[],[f208,f306]) ).
fof(f208,plain,
( e2 != op(e2,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1010,plain,
( ~ spl49_69
| ~ spl49_18 ),
inference(avatar_split_clause,[],[f1009,f552,f807]) ).
fof(f807,plain,
( spl49_69
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_69])]) ).
fof(f1009,plain,
( ~ sP26
| ~ spl49_18 ),
inference(trivial_inequality_removal,[],[f1008]) ).
fof(f1008,plain,
( unit != unit
| ~ sP26
| ~ spl49_18 ),
inference(forward_demodulation,[],[f368,f554]) ).
fof(f368,plain,
( op(e1,e1) != unit
| ~ sP26 ),
inference(definition_unfolding,[],[f195,f306]) ).
fof(f195,plain,
( e0 != op(e1,e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1006,plain,
( ~ spl49_67
| ~ spl49_18 ),
inference(avatar_split_clause,[],[f1005,f552,f797]) ).
fof(f797,plain,
( spl49_67
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_67])]) ).
fof(f1005,plain,
( ~ sP27
| ~ spl49_18 ),
inference(trivial_inequality_removal,[],[f1004]) ).
fof(f1004,plain,
( unit != unit
| ~ sP27
| ~ spl49_18 ),
inference(forward_demodulation,[],[f364,f554]) ).
fof(f364,plain,
( op(e1,e1) != unit
| ~ sP27 ),
inference(definition_unfolding,[],[f191,f306]) ).
fof(f191,plain,
( e0 != op(e1,e1)
| ~ sP27 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1002,plain,
( ~ spl49_64
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f1001,f542,f782]) ).
fof(f782,plain,
( spl49_64
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_64])]) ).
fof(f1001,plain,
( ~ sP34
| ~ spl49_16 ),
inference(trivial_inequality_removal,[],[f1000]) ).
fof(f1000,plain,
( unit != unit
| ~ sP34
| ~ spl49_16 ),
inference(forward_demodulation,[],[f353,f544]) ).
fof(f353,plain,
( op(e2,e2) != unit
| ~ sP34 ),
inference(definition_unfolding,[],[f164,f306]) ).
fof(f164,plain,
( e0 != op(e2,e2)
| ~ sP34 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f997,plain,
( ~ spl49_62
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f996,f542,f772]) ).
fof(f772,plain,
( spl49_62
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).
fof(f996,plain,
( ~ sP35
| ~ spl49_16 ),
inference(trivial_inequality_removal,[],[f995]) ).
fof(f995,plain,
( unit != unit
| ~ sP35
| ~ spl49_16 ),
inference(forward_demodulation,[],[f349,f544]) ).
fof(f349,plain,
( op(e2,e2) != unit
| ~ sP35 ),
inference(definition_unfolding,[],[f160,f306]) ).
fof(f160,plain,
( e0 != op(e2,e2)
| ~ sP35 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f992,plain,
( ~ spl49_55
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f991,f542,f737]) ).
fof(f737,plain,
( spl49_55
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_55])]) ).
fof(f991,plain,
( ~ sP11
| ~ spl49_16 ),
inference(trivial_inequality_removal,[],[f990]) ).
fof(f990,plain,
( unit != unit
| ~ sP11
| ~ spl49_16 ),
inference(forward_demodulation,[],[f411,f544]) ).
fof(f411,plain,
( op(e2,e2) != unit
| ~ sP11 ),
inference(definition_unfolding,[],[f254,f306]) ).
fof(f254,plain,
( e0 != op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f989,plain,
( ~ spl49_50
| ~ spl49_14 ),
inference(avatar_split_clause,[],[f988,f532,f712]) ).
fof(f712,plain,
( spl49_50
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_50])]) ).
fof(f988,plain,
( ~ sP16
| ~ spl49_14 ),
inference(trivial_inequality_removal,[],[f987]) ).
fof(f987,plain,
( unit != unit
| ~ sP16
| ~ spl49_14 ),
inference(forward_demodulation,[],[f403,f534]) ).
fof(f403,plain,
( op(e3,e3) != unit
| ~ sP16 ),
inference(definition_unfolding,[],[f234,f306]) ).
fof(f234,plain,
( e0 != op(e3,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f986,plain,
( ~ spl49_48
| ~ spl49_22 ),
inference(avatar_split_clause,[],[f985,f572,f702]) ).
fof(f702,plain,
( spl49_48
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_48])]) ).
fof(f985,plain,
( ~ sP29
| ~ spl49_22 ),
inference(trivial_inequality_removal,[],[f984]) ).
fof(f984,plain,
( e1 != e1
| ~ sP29
| ~ spl49_22 ),
inference(forward_demodulation,[],[f360,f574]) ).
fof(f360,plain,
( e1 != op(unit,e1)
| ~ sP29 ),
inference(definition_unfolding,[],[f182,f306]) ).
fof(f182,plain,
( e1 != op(e0,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f983,plain,
( ~ spl49_45
| ~ spl49_12 ),
inference(avatar_split_clause,[],[f982,f522,f687]) ).
fof(f687,plain,
( spl49_45
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_45])]) ).
fof(f522,plain,
( spl49_12
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_12])]) ).
fof(f982,plain,
( ~ sP31
| ~ spl49_12 ),
inference(trivial_inequality_removal,[],[f981]) ).
fof(f981,plain,
( e2 != e2
| ~ sP31
| ~ spl49_12 ),
inference(forward_demodulation,[],[f177,f524]) ).
fof(f524,plain,
( e2 = op(e3,e1)
| ~ spl49_12 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f177,plain,
( e2 != op(e3,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f979,plain,
( ~ spl49_42
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f978,f512,f672]) ).
fof(f672,plain,
( spl49_42
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_42])]) ).
fof(f512,plain,
( spl49_10
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f978,plain,
( ~ sP33
| ~ spl49_10 ),
inference(trivial_inequality_removal,[],[f977]) ).
fof(f977,plain,
( e3 != e3
| ~ sP33
| ~ spl49_10 ),
inference(forward_demodulation,[],[f168,f514]) ).
fof(f514,plain,
( e3 = op(e2,e1)
| ~ spl49_10 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f168,plain,
( e3 != op(e2,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f975,plain,
( ~ spl49_40
| ~ spl49_11 ),
inference(avatar_split_clause,[],[f974,f517,f662]) ).
fof(f662,plain,
( spl49_40
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_40])]) ).
fof(f517,plain,
( spl49_11
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_11])]) ).
fof(f974,plain,
( ~ sP36
| ~ spl49_11 ),
inference(trivial_inequality_removal,[],[f973]) ).
fof(f973,plain,
( e1 != e1
| ~ sP36
| ~ spl49_11 ),
inference(forward_demodulation,[],[f157,f519]) ).
fof(f519,plain,
( e1 = op(e2,e3)
| ~ spl49_11 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f157,plain,
( e1 != op(e2,e3)
| ~ sP36 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f971,plain,
( ~ spl49_38
| ~ spl49_13 ),
inference(avatar_split_clause,[],[f970,f527,f652]) ).
fof(f652,plain,
( spl49_38
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_38])]) ).
fof(f527,plain,
( spl49_13
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_13])]) ).
fof(f970,plain,
( ~ sP37
| ~ spl49_13 ),
inference(trivial_inequality_removal,[],[f969]) ).
fof(f969,plain,
( e1 != e1
| ~ sP37
| ~ spl49_13 ),
inference(forward_demodulation,[],[f153,f529]) ).
fof(f529,plain,
( e1 = op(e3,e2)
| ~ spl49_13 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f153,plain,
( e1 != op(e3,e2)
| ~ sP37 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f967,plain,
( ~ spl49_36
| ~ spl49_17 ),
inference(avatar_split_clause,[],[f966,f547,f642]) ).
fof(f642,plain,
( spl49_36
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_36])]) ).
fof(f966,plain,
( ~ sP38
| ~ spl49_17 ),
inference(trivial_inequality_removal,[],[f965]) ).
fof(f965,plain,
( e2 != e2
| ~ sP38
| ~ spl49_17 ),
inference(forward_demodulation,[],[f345,f549]) ).
fof(f345,plain,
( e2 != op(e2,unit)
| ~ sP38 ),
inference(definition_unfolding,[],[f146,f306]) ).
fof(f146,plain,
( e2 != op(e2,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f964,plain,
( ~ spl49_30
| ~ spl49_13 ),
inference(avatar_split_clause,[],[f963,f527,f612]) ).
fof(f612,plain,
( spl49_30
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_30])]) ).
fof(f963,plain,
( ~ sP44
| ~ spl49_13 ),
inference(trivial_inequality_removal,[],[f962]) ).
fof(f962,plain,
( e1 != e1
| ~ sP44
| ~ spl49_13 ),
inference(forward_demodulation,[],[f124,f529]) ).
fof(f124,plain,
( e1 != op(e3,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f961,plain,
( ~ spl49_28
| ~ spl49_11 ),
inference(avatar_split_clause,[],[f960,f517,f602]) ).
fof(f602,plain,
( spl49_28
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_28])]) ).
fof(f960,plain,
( ~ sP45
| ~ spl49_11 ),
inference(trivial_inequality_removal,[],[f959]) ).
fof(f959,plain,
( e1 != e1
| ~ sP45
| ~ spl49_11 ),
inference(forward_demodulation,[],[f120,f519]) ).
fof(f120,plain,
( e1 != op(e2,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f958,plain,
( ~ spl49_34
| ~ spl49_21 ),
inference(avatar_split_clause,[],[f957,f567,f632]) ).
fof(f632,plain,
( spl49_34
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_34])]) ).
fof(f957,plain,
( ~ sP39
| ~ spl49_21 ),
inference(trivial_inequality_removal,[],[f956]) ).
fof(f956,plain,
( e2 != e2
| ~ sP39
| ~ spl49_21 ),
inference(forward_demodulation,[],[f344,f569]) ).
fof(f344,plain,
( e2 != op(unit,e2)
| ~ sP39 ),
inference(definition_unfolding,[],[f142,f306]) ).
fof(f142,plain,
( e2 != op(e0,e2)
| ~ sP39 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f955,plain,
( spl49_98
| spl49_96
| spl49_94
| spl49_92
| spl49_91
| spl49_89
| spl49_88
| spl49_59
| spl49_58
| spl49_86
| spl49_57
| spl49_55
| spl49_54
| spl49_85
| spl49_53
| spl49_52
| spl49_50
| ~ spl49_23
| ~ spl49_22
| ~ spl49_19
| ~ spl49_21
| ~ spl49_17
| ~ spl49_15
| spl49_1
| spl49_83
| spl49_81
| spl49_79
| spl49_77
| spl49_75
| spl49_73
| spl49_72
| spl49_71
| spl49_69
| spl49_67
| spl49_66
| spl49_48
| spl49_47
| spl49_45
| spl49_44
| spl49_42
| spl49_64
| spl49_62
| spl49_40
| spl49_38
| spl49_36
| spl49_34
| spl49_33
| spl49_32
| spl49_61
| spl49_60
| spl49_30
| spl49_28
| spl49_27
| spl49_26
| spl49_24
| ~ spl49_20 ),
inference(avatar_split_clause,[],[f461,f562,f582,f592,f597,f602,f612,f762,f767,f622,f627,f632,f642,f652,f662,f772,f782,f672,f682,f687,f697,f702,f792,f797,f807,f817,f822,f827,f837,f847,f857,f867,f877,f467,f537,f547,f567,f557,f572,f577,f712,f722,f727,f887,f732,f737,f747,f892,f752,f757,f902,f907,f917,f922,f932,f942,f952]) ).
fof(f917,plain,
( spl49_91
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_91])]) ).
fof(f902,plain,
( spl49_88
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_88])]) ).
fof(f757,plain,
( spl49_59
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_59])]) ).
fof(f752,plain,
( spl49_58
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_58])]) ).
fof(f747,plain,
( spl49_57
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_57])]) ).
fof(f732,plain,
( spl49_54
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_54])]) ).
fof(f887,plain,
( spl49_85
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_85])]) ).
fof(f727,plain,
( spl49_53
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_53])]) ).
fof(f722,plain,
( spl49_52
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_52])]) ).
fof(f467,plain,
( spl49_1
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).
fof(f822,plain,
( spl49_72
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_72])]) ).
fof(f817,plain,
( spl49_71
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_71])]) ).
fof(f792,plain,
( spl49_66
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_66])]) ).
fof(f697,plain,
( spl49_47
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_47])]) ).
fof(f682,plain,
( spl49_44
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_44])]) ).
fof(f627,plain,
( spl49_33
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_33])]) ).
fof(f622,plain,
( spl49_32
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_32])]) ).
fof(f767,plain,
( spl49_61
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).
fof(f762,plain,
( spl49_60
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_60])]) ).
fof(f597,plain,
( spl49_27
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_27])]) ).
fof(f592,plain,
( spl49_26
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_26])]) ).
fof(f562,plain,
( spl49_20
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_20])]) ).
fof(f461,plain,
( e3 != op(unit,e3)
| 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
| sP19
| sP18
| sP17
| e3 != op(e3,unit)
| e2 != op(e2,unit)
| e2 != op(unit,e2)
| e1 != op(e1,unit)
| e1 != op(unit,e1)
| unit != op(unit,unit)
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f447,plain,
( e3 != op(unit,e3)
| 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
| sP19
| sP18
| sP17
| 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)
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_unfolding,[],[f302,f306,f306,f306,f306,f306]) ).
fof(f302,plain,
( e3 != op(e0,e3)
| 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
| sP19
| sP18
| sP17
| 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)
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| 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
| sP19
| sP18
| sP17
| 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)
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f6,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,f7]) ).
fof(f11,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
( ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f31,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f35,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f47,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f48,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f49,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f50,plain,
( ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f53,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f54,plain,
( ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
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(f949,plain,
( ~ spl49_96
| ~ spl49_97 ),
inference(avatar_split_clause,[],[f436,f946,f942]) ).
fof(f946,plain,
( spl49_97
<=> e3 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_97])]) ).
fof(f436,plain,
( e3 != op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f297,f306,f306]) ).
fof(f297,plain,
( e3 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f939,plain,
( ~ spl49_94
| ~ spl49_95 ),
inference(avatar_split_clause,[],[f432,f936,f932]) ).
fof(f936,plain,
( spl49_95
<=> e3 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_95])]) ).
fof(f432,plain,
( e3 != op(unit,e1)
| ~ sP2 ),
inference(definition_unfolding,[],[f293,f306]) ).
fof(f293,plain,
( e3 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f929,plain,
( ~ spl49_92
| ~ spl49_93 ),
inference(avatar_split_clause,[],[f428,f926,f922]) ).
fof(f926,plain,
( spl49_93
<=> e3 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_93])]) ).
fof(f428,plain,
( e3 != op(unit,e2)
| ~ sP3 ),
inference(definition_unfolding,[],[f289,f306]) ).
fof(f289,plain,
( e3 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f102]) ).
fof(f920,plain,
( ~ spl49_91
| ~ spl49_20 ),
inference(avatar_split_clause,[],[f424,f562,f917]) ).
fof(f424,plain,
( e3 != op(unit,e3)
| ~ sP4 ),
inference(definition_unfolding,[],[f285,f306]) ).
fof(f285,plain,
( e3 != op(e0,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f914,plain,
( ~ spl49_89
| ~ spl49_90 ),
inference(avatar_split_clause,[],[f420,f911,f907]) ).
fof(f911,plain,
( spl49_90
<=> e3 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_90])]) ).
fof(f420,plain,
( e3 != op(e1,unit)
| ~ sP5 ),
inference(definition_unfolding,[],[f281,f306]) ).
fof(f281,plain,
( e3 != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f905,plain,
( ~ spl49_88
| ~ spl49_18 ),
inference(avatar_split_clause,[],[f419,f552,f902]) ).
fof(f419,plain,
( op(e1,e1) != unit
| ~ sP6 ),
inference(definition_unfolding,[],[f274,f306]) ).
fof(f274,plain,
( e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f899,plain,
( ~ spl49_86
| ~ spl49_87 ),
inference(avatar_split_clause,[],[f413,f896,f892]) ).
fof(f896,plain,
( spl49_87
<=> e3 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_87])]) ).
fof(f413,plain,
( e3 != op(e2,unit)
| ~ sP9 ),
inference(definition_unfolding,[],[f265,f306]) ).
fof(f265,plain,
( e3 != op(e2,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f96]) ).
fof(f890,plain,
( ~ spl49_85
| ~ spl49_15 ),
inference(avatar_split_clause,[],[f406,f537,f887]) ).
fof(f406,plain,
( e3 != op(e3,unit)
| ~ sP13 ),
inference(definition_unfolding,[],[f249,f306]) ).
fof(f249,plain,
( e3 != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f884,plain,
( ~ spl49_83
| ~ spl49_84 ),
inference(avatar_split_clause,[],[f398,f881,f877]) ).
fof(f881,plain,
( spl49_84
<=> unit = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_84])]) ).
fof(f398,plain,
( unit != op(unit,e3)
| ~ sP18 ),
inference(definition_unfolding,[],[f229,f306,f306]) ).
fof(f229,plain,
( e0 != op(e0,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f87]) ).
fof(f874,plain,
( ~ spl49_81
| ~ spl49_82 ),
inference(avatar_split_clause,[],[f394,f871,f867]) ).
fof(f871,plain,
( spl49_82
<=> unit = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_82])]) ).
fof(f394,plain,
( unit != op(e3,unit)
| ~ sP19 ),
inference(definition_unfolding,[],[f225,f306,f306]) ).
fof(f225,plain,
( e0 != op(e3,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f86]) ).
fof(f864,plain,
( ~ spl49_79
| ~ spl49_80 ),
inference(avatar_split_clause,[],[f390,f861,f857]) ).
fof(f861,plain,
( spl49_80
<=> e1 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_80])]) ).
fof(f390,plain,
( e1 != op(unit,e3)
| ~ sP20 ),
inference(definition_unfolding,[],[f221,f306]) ).
fof(f221,plain,
( e1 != op(e0,e3)
| ~ sP20 ),
inference(cnf_transformation,[],[f85]) ).
fof(f854,plain,
( ~ spl49_77
| ~ spl49_78 ),
inference(avatar_split_clause,[],[f386,f851,f847]) ).
fof(f851,plain,
( spl49_78
<=> e1 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_78])]) ).
fof(f386,plain,
( e1 != op(e3,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f217,f306]) ).
fof(f217,plain,
( e1 != op(e3,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f84]) ).
fof(f844,plain,
( ~ spl49_75
| ~ spl49_76 ),
inference(avatar_split_clause,[],[f382,f841,f837]) ).
fof(f841,plain,
( spl49_76
<=> e2 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_76])]) ).
fof(f382,plain,
( e2 != op(unit,e3)
| ~ sP22 ),
inference(definition_unfolding,[],[f213,f306]) ).
fof(f213,plain,
( e2 != op(e0,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f83]) ).
fof(f834,plain,
( ~ spl49_73
| ~ spl49_74 ),
inference(avatar_split_clause,[],[f378,f831,f827]) ).
fof(f831,plain,
( spl49_74
<=> e2 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_74])]) ).
fof(f378,plain,
( e2 != op(e3,unit)
| ~ sP23 ),
inference(definition_unfolding,[],[f209,f306]) ).
fof(f209,plain,
( e2 != op(e3,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f82]) ).
fof(f825,plain,
( ~ spl49_72
| ~ spl49_20 ),
inference(avatar_split_clause,[],[f374,f562,f822]) ).
fof(f374,plain,
( e3 != op(unit,e3)
| ~ sP24 ),
inference(definition_unfolding,[],[f205,f306]) ).
fof(f205,plain,
( e3 != op(e0,e3)
| ~ sP24 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f820,plain,
( ~ spl49_71
| ~ spl49_15 ),
inference(avatar_split_clause,[],[f370,f537,f817]) ).
fof(f370,plain,
( e3 != op(e3,unit)
| ~ sP25 ),
inference(definition_unfolding,[],[f201,f306]) ).
fof(f201,plain,
( e3 != op(e3,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f814,plain,
( ~ spl49_69
| ~ spl49_70 ),
inference(avatar_split_clause,[],[f366,f811,f807]) ).
fof(f811,plain,
( spl49_70
<=> op(e1,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_70])]) ).
fof(f366,plain,
( op(e1,e3) != unit
| ~ sP26 ),
inference(definition_unfolding,[],[f197,f306]) ).
fof(f197,plain,
( e0 != op(e1,e3)
| ~ sP26 ),
inference(cnf_transformation,[],[f79]) ).
fof(f804,plain,
( ~ spl49_67
| ~ spl49_68 ),
inference(avatar_split_clause,[],[f362,f801,f797]) ).
fof(f801,plain,
( spl49_68
<=> op(e3,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_68])]) ).
fof(f362,plain,
( op(e3,e1) != unit
| ~ sP27 ),
inference(definition_unfolding,[],[f193,f306]) ).
fof(f193,plain,
( e0 != op(e3,e1)
| ~ sP27 ),
inference(cnf_transformation,[],[f78]) ).
fof(f795,plain,
( ~ spl49_66
| ~ spl49_19 ),
inference(avatar_split_clause,[],[f361,f557,f792]) ).
fof(f361,plain,
( e1 != op(e1,unit)
| ~ sP28 ),
inference(definition_unfolding,[],[f186,f306]) ).
fof(f186,plain,
( e1 != op(e1,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f789,plain,
( ~ spl49_64
| ~ spl49_65 ),
inference(avatar_split_clause,[],[f352,f786,f782]) ).
fof(f786,plain,
( spl49_65
<=> op(e2,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_65])]) ).
fof(f352,plain,
( op(e2,e3) != unit
| ~ sP34 ),
inference(definition_unfolding,[],[f165,f306]) ).
fof(f165,plain,
( e0 != op(e2,e3)
| ~ sP34 ),
inference(cnf_transformation,[],[f71]) ).
fof(f779,plain,
( ~ spl49_62
| ~ spl49_63 ),
inference(avatar_split_clause,[],[f348,f776,f772]) ).
fof(f776,plain,
( spl49_63
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_63])]) ).
fof(f348,plain,
( op(e3,e2) != unit
| ~ sP35 ),
inference(definition_unfolding,[],[f161,f306]) ).
fof(f161,plain,
( e0 != op(e3,e2)
| ~ sP35 ),
inference(cnf_transformation,[],[f70]) ).
fof(f770,plain,
( ~ spl49_61
| ~ spl49_14 ),
inference(avatar_split_clause,[],[f338,f532,f767]) ).
fof(f338,plain,
( op(e3,e3) != unit
| ~ sP42 ),
inference(definition_unfolding,[],[f133,f306]) ).
fof(f133,plain,
( e0 != op(e3,e3)
| ~ sP42 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f765,plain,
( ~ spl49_60
| ~ spl49_14 ),
inference(avatar_split_clause,[],[f334,f532,f762]) ).
fof(f334,plain,
( op(e3,e3) != unit
| ~ sP43 ),
inference(definition_unfolding,[],[f129,f306]) ).
fof(f129,plain,
( e0 != op(e3,e3)
| ~ sP43 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f760,plain,
( ~ spl49_59
| ~ spl49_8 ),
inference(avatar_split_clause,[],[f273,f502,f757]) ).
fof(f502,plain,
( spl49_8
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f273,plain,
( e3 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f755,plain,
( ~ spl49_58
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f268,f507,f752]) ).
fof(f507,plain,
( spl49_9
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).
fof(f268,plain,
( e2 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f750,plain,
( ~ spl49_57
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f261,f512,f747]) ).
fof(f261,plain,
( e3 != op(e2,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f744,plain,
( ~ spl49_55
| ~ spl49_56 ),
inference(avatar_split_clause,[],[f255,f741,f737]) ).
fof(f741,plain,
( spl49_56
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_56])]) ).
fof(f255,plain,
( e1 != op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f94]) ).
fof(f735,plain,
( ~ spl49_54
| ~ spl49_11 ),
inference(avatar_split_clause,[],[f251,f517,f732]) ).
fof(f251,plain,
( e1 != op(e2,e3)
| ~ sP12 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f730,plain,
( ~ spl49_53
| ~ spl49_12 ),
inference(avatar_split_clause,[],[f244,f522,f727]) ).
fof(f244,plain,
( e2 != op(e3,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f725,plain,
( ~ spl49_52
| ~ spl49_13 ),
inference(avatar_split_clause,[],[f239,f527,f722]) ).
fof(f239,plain,
( e1 != op(e3,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f719,plain,
( ~ spl49_50
| ~ spl49_51 ),
inference(avatar_split_clause,[],[f235,f716,f712]) ).
fof(f716,plain,
( spl49_51
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_51])]) ).
fof(f235,plain,
( e1 != op(e3,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f89]) ).
fof(f709,plain,
( ~ spl49_48
| ~ spl49_49 ),
inference(avatar_split_clause,[],[f183,f706,f702]) ).
fof(f706,plain,
( spl49_49
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_49])]) ).
fof(f183,plain,
( e1 != op(e1,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f76]) ).
fof(f700,plain,
( ~ spl49_47
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f181,f507,f697]) ).
fof(f181,plain,
( e2 != op(e1,e3)
| ~ sP30 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f694,plain,
( ~ spl49_45
| ~ spl49_46 ),
inference(avatar_split_clause,[],[f175,f691,f687]) ).
fof(f691,plain,
( spl49_46
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_46])]) ).
fof(f175,plain,
( e2 != op(e1,e1)
| ~ sP31 ),
inference(cnf_transformation,[],[f74]) ).
fof(f685,plain,
( ~ spl49_44
| ~ spl49_8 ),
inference(avatar_split_clause,[],[f172,f502,f682]) ).
fof(f172,plain,
( e3 != op(e1,e2)
| ~ sP32 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f679,plain,
( ~ spl49_42
| ~ spl49_43 ),
inference(avatar_split_clause,[],[f167,f676,f672]) ).
fof(f676,plain,
( spl49_43
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_43])]) ).
fof(f167,plain,
( e3 != op(e1,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f72]) ).
fof(f669,plain,
( ~ spl49_40
| ~ spl49_41 ),
inference(avatar_split_clause,[],[f155,f666,f662]) ).
fof(f666,plain,
( spl49_41
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_41])]) ).
fof(f155,plain,
( e1 != op(e2,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f69]) ).
fof(f659,plain,
( ~ spl49_38
| ~ spl49_39 ),
inference(avatar_split_clause,[],[f151,f656,f652]) ).
fof(f656,plain,
( spl49_39
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_39])]) ).
fof(f151,plain,
( e1 != op(e1,e2)
| ~ sP37 ),
inference(cnf_transformation,[],[f68]) ).
fof(f649,plain,
( ~ spl49_36
| ~ spl49_37 ),
inference(avatar_split_clause,[],[f147,f646,f642]) ).
fof(f646,plain,
( spl49_37
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_37])]) ).
fof(f147,plain,
( e2 != op(e2,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f67]) ).
fof(f639,plain,
( ~ spl49_34
| ~ spl49_35 ),
inference(avatar_split_clause,[],[f143,f636,f632]) ).
fof(f636,plain,
( spl49_35
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_35])]) ).
fof(f143,plain,
( e2 != op(e1,e2)
| ~ sP39 ),
inference(cnf_transformation,[],[f66]) ).
fof(f630,plain,
( ~ spl49_33
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f139,f512,f627]) ).
fof(f139,plain,
( e3 != op(e2,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f625,plain,
( ~ spl49_32
| ~ spl49_8 ),
inference(avatar_split_clause,[],[f135,f502,f622]) ).
fof(f135,plain,
( e3 != op(e1,e2)
| ~ sP41 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f619,plain,
( ~ spl49_30
| ~ spl49_31 ),
inference(avatar_split_clause,[],[f123,f616,f612]) ).
fof(f616,plain,
( spl49_31
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_31])]) ).
fof(f123,plain,
( e1 != op(e3,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f61]) ).
fof(f609,plain,
( ~ spl49_28
| ~ spl49_29 ),
inference(avatar_split_clause,[],[f119,f606,f602]) ).
fof(f606,plain,
( spl49_29
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_29])]) ).
fof(f119,plain,
( e1 != op(e1,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f60]) ).
fof(f600,plain,
( ~ spl49_27
| ~ spl49_12 ),
inference(avatar_split_clause,[],[f115,f522,f597]) ).
fof(f115,plain,
( e2 != op(e3,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f595,plain,
( ~ spl49_26
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f111,f507,f592]) ).
fof(f111,plain,
( e2 != op(e1,e3)
| ~ sP47 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f589,plain,
( ~ spl49_24
| ~ spl49_25 ),
inference(avatar_split_clause,[],[f107,f586,f582]) ).
fof(f586,plain,
( spl49_25
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_25])]) ).
fof(f107,plain,
( e3 != op(e3,e1)
| ~ sP48 ),
inference(cnf_transformation,[],[f57]) ).
fof(f580,plain,
spl49_23,
inference(avatar_split_clause,[],[f460,f577]) ).
fof(f460,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f313,f306,f306,f306]) ).
fof(f313,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)
& e0 = op(e2,e2)
& e3 = op(e2,e1)
& e2 = op(e2,e0)
& e2 = op(e1,e3)
& e3 = op(e1,e2)
& e0 = 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(f575,plain,
spl49_22,
inference(avatar_split_clause,[],[f459,f572]) ).
fof(f459,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f314,f306]) ).
fof(f314,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f570,plain,
spl49_21,
inference(avatar_split_clause,[],[f458,f567]) ).
fof(f458,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f315,f306]) ).
fof(f315,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f565,plain,
spl49_20,
inference(avatar_split_clause,[],[f457,f562]) ).
fof(f457,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f316,f306]) ).
fof(f316,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f560,plain,
spl49_19,
inference(avatar_split_clause,[],[f456,f557]) ).
fof(f456,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f317,f306]) ).
fof(f317,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f555,plain,
spl49_18,
inference(avatar_split_clause,[],[f455,f552]) ).
fof(f455,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f318,f306]) ).
fof(f318,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f550,plain,
spl49_17,
inference(avatar_split_clause,[],[f454,f547]) ).
fof(f454,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f321,f306]) ).
fof(f321,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f545,plain,
spl49_16,
inference(avatar_split_clause,[],[f453,f542]) ).
fof(f453,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f323,f306]) ).
fof(f323,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f540,plain,
spl49_15,
inference(avatar_split_clause,[],[f452,f537]) ).
fof(f452,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f325,f306]) ).
fof(f325,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f535,plain,
spl49_14,
inference(avatar_split_clause,[],[f451,f532]) ).
fof(f451,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f328,f306]) ).
fof(f328,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f530,plain,
spl49_13,
inference(avatar_split_clause,[],[f327,f527]) ).
fof(f327,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f525,plain,
spl49_12,
inference(avatar_split_clause,[],[f326,f522]) ).
fof(f326,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f520,plain,
spl49_11,
inference(avatar_split_clause,[],[f324,f517]) ).
fof(f324,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f515,plain,
spl49_10,
inference(avatar_split_clause,[],[f322,f512]) ).
fof(f322,plain,
e3 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f510,plain,
spl49_9,
inference(avatar_split_clause,[],[f320,f507]) ).
fof(f320,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f505,plain,
spl49_8,
inference(avatar_split_clause,[],[f319,f502]) ).
fof(f319,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f500,plain,
~ spl49_7,
inference(avatar_split_clause,[],[f450,f497]) ).
fof(f497,plain,
( spl49_7
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).
fof(f450,plain,
e1 != unit,
inference(definition_unfolding,[],[f307,f306]) ).
fof(f307,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(f495,plain,
~ spl49_6,
inference(avatar_split_clause,[],[f449,f492]) ).
fof(f492,plain,
( spl49_6
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f449,plain,
e2 != unit,
inference(definition_unfolding,[],[f308,f306]) ).
fof(f308,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f490,plain,
~ spl49_5,
inference(avatar_split_clause,[],[f448,f487]) ).
fof(f487,plain,
( spl49_5
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f448,plain,
e3 != unit,
inference(definition_unfolding,[],[f309,f306]) ).
fof(f309,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f485,plain,
~ spl49_4,
inference(avatar_split_clause,[],[f312,f482]) ).
fof(f482,plain,
( spl49_4
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f312,plain,
e2 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f480,plain,
~ spl49_3,
inference(avatar_split_clause,[],[f311,f477]) ).
fof(f477,plain,
( spl49_3
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f311,plain,
e1 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f475,plain,
~ spl49_2,
inference(avatar_split_clause,[],[f310,f472]) ).
fof(f472,plain,
( spl49_2
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f310,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f470,plain,
~ spl49_1,
inference(avatar_split_clause,[],[f465,f467]) ).
fof(f465,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f402]) ).
fof(f402,plain,
( unit != unit
| ~ sP17 ),
inference(definition_unfolding,[],[f230,f306]) ).
fof(f230,plain,
( e0 != unit
| ~ sP17 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e3 != unit
& e2 != unit
& e1 != unit
& e0 != unit )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ALG043+1 : TPTP v8.2.0. Released v2.7.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 22:55:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (13133)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13138)WARNING: value z3 for option sas not known
% 0.15/0.38 % (13137)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (13136)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (13139)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (13140)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)
% 0.15/0.38 % (13138)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)
% 0.15/0.38 % (13141)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)
% 0.15/0.38 % (13142)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)
% 0.15/0.40 % (13140)First to succeed.
% 0.15/0.40 % (13138)Also succeeded, but the first one will report.
% 0.15/0.40 % (13141)Also succeeded, but the first one will report.
% 0.15/0.41 % (13140)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13133"
% 0.15/0.41 % (13142)Also succeeded, but the first one will report.
% 0.15/0.41 % (13140)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (13140)------------------------------
% 0.15/0.41 % (13140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41 % (13140)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (13140)Memory used [KB]: 1220
% 0.15/0.41 % (13140)Time elapsed: 0.023 s
% 0.15/0.41 % (13140)Instructions burned: 41 (million)
% 0.15/0.41 % (13133)Success in time 0.042 s
%------------------------------------------------------------------------------