TSTP Solution File: ALG068+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:28 EDT 2022
% Result : Theorem 2.07s 0.65s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 190
% Syntax : Number of formulae : 800 ( 119 unt; 0 def)
% Number of atoms : 2905 (1798 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3321 (1216 ~;1427 |; 541 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 163 ( 161 usr; 162 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 28 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3837,plain,
$false,
inference(avatar_sat_refutation,[],[f554,f679,f733,f771,f776,f794,f852,f862,f882,f910,f920,f987,f996,f1003,f1165,f1172,f1173,f1188,f1212,f1240,f1285,f1292,f1306,f1321,f1338,f1345,f1352,f1382,f1388,f1452,f1486,f1566,f1609,f1673,f1675,f1696,f1710,f1716,f1718,f1784,f1799,f1933,f1940,f1946,f1961,f1973,f1980,f1985,f2007,f2031,f2063,f2086,f2103,f2131,f2141,f2146,f2147,f2154,f2205,f2230,f2249,f2257,f2280,f2301,f2322,f2328,f2358,f2373,f2379,f2400,f2404,f2407,f2432,f2454,f2489,f2559,f2570,f2598,f2636,f2735,f2744,f2826,f2830,f2847,f2885,f2903,f2938,f2941,f2952,f2962,f2976,f3016,f3019,f3138,f3141,f3144,f3189,f3216,f3230,f3240,f3253,f3258,f3262,f3300,f3313,f3350,f3406,f3420,f3452,f3456,f3468,f3472,f3503,f3531,f3546,f3578,f3622,f3651,f3659,f3669,f3675,f3694,f3706,f3715,f3718,f3721,f3729,f3744,f3760,f3764,f3772,f3778,f3782,f3789,f3803,f3819,f3820,f3830]) ).
fof(f3830,plain,
( ~ spl51_179
| ~ spl51_249 ),
inference(avatar_contradiction_clause,[],[f3829]) ).
fof(f3829,plain,
( $false
| ~ spl51_179
| ~ spl51_249 ),
inference(subsumption_resolution,[],[f3828,f165]) ).
fof(f165,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e1 != e3
& e0 != e1
& e2 != e3
& e0 != e4
& e3 != e4
& e1 != e4
& e0 != e3
& e0 != e2
& e1 != e2
& e2 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3828,plain,
( e0 = e4
| ~ spl51_179
| ~ spl51_249 ),
inference(forward_demodulation,[],[f3827,f1284]) ).
fof(f1284,plain,
( e0 = op(e1,e3)
| ~ spl51_179 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1282,plain,
( spl51_179
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_179])]) ).
fof(f3827,plain,
( e4 = op(e1,e3)
| ~ spl51_249 ),
inference(forward_demodulation,[],[f411,f1705]) ).
fof(f1705,plain,
( e4 = sF50
| ~ spl51_249 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1703,plain,
( spl51_249
<=> e4 = sF50 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_249])]) ).
fof(f411,plain,
op(e1,e3) = sF50,
introduced(function_definition,[]) ).
fof(f3820,plain,
( ~ spl51_178
| ~ spl51_50
| spl51_99 ),
inference(avatar_split_clause,[],[f3812,f859,f632,f1278]) ).
fof(f1278,plain,
( spl51_178
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_178])]) ).
fof(f632,plain,
( spl51_50
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_50])]) ).
fof(f859,plain,
( spl51_99
<=> e4 = op(op(e3,e4),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_99])]) ).
fof(f3812,plain,
( e4 != op(e1,e3)
| ~ spl51_50
| spl51_99 ),
inference(forward_demodulation,[],[f861,f634]) ).
fof(f634,plain,
( e1 = op(e3,e4)
| ~ spl51_50 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f861,plain,
( e4 != op(op(e3,e4),e3)
| spl51_99 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f3819,plain,
( ~ spl51_23
| ~ spl51_45
| spl51_171 ),
inference(avatar_contradiction_clause,[],[f3818]) ).
fof(f3818,plain,
( $false
| ~ spl51_23
| ~ spl51_45
| spl51_171 ),
inference(subsumption_resolution,[],[f3817,f613]) ).
fof(f613,plain,
( e2 = op(e1,e4)
| ~ spl51_45 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl51_45
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_45])]) ).
fof(f3817,plain,
( e2 != op(e1,e4)
| ~ spl51_23
| spl51_171 ),
inference(forward_demodulation,[],[f1239,f2132]) ).
fof(f2132,plain,
( e1 = sF25
| ~ spl51_23 ),
inference(backward_demodulation,[],[f359,f515]) ).
fof(f515,plain,
( e1 = op(e4,e2)
| ~ spl51_23 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl51_23
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_23])]) ).
fof(f359,plain,
op(e4,e2) = sF25,
introduced(function_definition,[]) ).
fof(f1239,plain,
( e2 != op(sF25,e4)
| spl51_171 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1237,plain,
( spl51_171
<=> e2 = op(sF25,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_171])]) ).
fof(f3803,plain,
( spl51_79
| ~ spl51_208
| ~ spl51_291 ),
inference(avatar_contradiction_clause,[],[f3802]) ).
fof(f3802,plain,
( $false
| spl51_79
| ~ spl51_208
| ~ spl51_291 ),
inference(subsumption_resolution,[],[f3801,f769]) ).
fof(f769,plain,
( e1 != op(e2,e4)
| spl51_79 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl51_79
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_79])]) ).
fof(f3801,plain,
( e1 = op(e2,e4)
| ~ spl51_208
| ~ spl51_291 ),
inference(forward_demodulation,[],[f2030,f1461]) ).
fof(f1461,plain,
( e2 = sF39
| ~ spl51_208 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl51_208
<=> e2 = sF39 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_208])]) ).
fof(f2030,plain,
( e1 = op(sF39,e4)
| ~ spl51_291 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2028,plain,
( spl51_291
<=> e1 = op(sF39,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_291])]) ).
fof(f3789,plain,
( ~ spl51_129
| ~ spl51_236 ),
inference(avatar_contradiction_clause,[],[f3788]) ).
fof(f3788,plain,
( $false
| ~ spl51_129
| ~ spl51_236 ),
inference(subsumption_resolution,[],[f3787,f164]) ).
fof(f164,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3787,plain,
( e3 = e4
| ~ spl51_129
| ~ spl51_236 ),
inference(forward_demodulation,[],[f3496,f1621]) ).
fof(f1621,plain,
( e3 = op(e2,e1)
| ~ spl51_236 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1619,plain,
( spl51_236
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_236])]) ).
fof(f3496,plain,
( e4 = op(e2,e1)
| ~ spl51_129 ),
inference(forward_demodulation,[],[f402,f1012]) ).
fof(f1012,plain,
( e4 = sF46
| ~ spl51_129 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1010,plain,
( spl51_129
<=> e4 = sF46 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_129])]) ).
fof(f402,plain,
op(e2,e1) = sF46,
introduced(function_definition,[]) ).
fof(f3782,plain,
( ~ spl51_57
| ~ spl51_151
| ~ spl51_293 ),
inference(avatar_contradiction_clause,[],[f3781]) ).
fof(f3781,plain,
( $false
| ~ spl51_57
| ~ spl51_151
| ~ spl51_293 ),
inference(subsumption_resolution,[],[f3780,f159]) ).
fof(f159,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3780,plain,
( e2 = e4
| ~ spl51_57
| ~ spl51_151
| ~ spl51_293 ),
inference(forward_demodulation,[],[f3779,f666]) ).
fof(f666,plain,
( e2 = op(e3,e1)
| ~ spl51_57 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl51_57
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_57])]) ).
fof(f3779,plain,
( e4 = op(e3,e1)
| ~ spl51_151
| ~ spl51_293 ),
inference(forward_demodulation,[],[f2062,f1120]) ).
fof(f1120,plain,
( e3 = op(e4,e1)
| ~ spl51_151 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1118,plain,
( spl51_151
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_151])]) ).
fof(f2062,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl51_293 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f2060,plain,
( spl51_293
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_293])]) ).
fof(f3778,plain,
( ~ spl51_97
| ~ spl51_250 ),
inference(avatar_contradiction_clause,[],[f3777]) ).
fof(f3777,plain,
( $false
| ~ spl51_97
| ~ spl51_250 ),
inference(subsumption_resolution,[],[f3776,f163]) ).
fof(f163,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3776,plain,
( e1 = e4
| ~ spl51_97
| ~ spl51_250 ),
inference(forward_demodulation,[],[f1709,f851]) ).
fof(f851,plain,
( e1 = sF43
| ~ spl51_97 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f849,plain,
( spl51_97
<=> e1 = sF43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_97])]) ).
fof(f1709,plain,
( e4 = sF43
| ~ spl51_250 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1707,plain,
( spl51_250
<=> e4 = sF43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_250])]) ).
fof(f3772,plain,
( spl51_236
| ~ spl51_57
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f3771,f1379,f664,f1619]) ).
fof(f1379,plain,
( spl51_195
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_195])]) ).
fof(f3771,plain,
( e3 = op(e2,e1)
| ~ spl51_57
| ~ spl51_195 ),
inference(forward_demodulation,[],[f1381,f666]) ).
fof(f1381,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl51_195 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f3764,plain,
( ~ spl51_266
| ~ spl51_285 ),
inference(avatar_contradiction_clause,[],[f3763]) ).
fof(f3763,plain,
( $false
| ~ spl51_266
| ~ spl51_285 ),
inference(subsumption_resolution,[],[f3762,f163]) ).
fof(f3762,plain,
( e1 = e4
| ~ spl51_266
| ~ spl51_285 ),
inference(forward_demodulation,[],[f1837,f1960]) ).
fof(f1960,plain,
( e1 = sF40
| ~ spl51_285 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1958,plain,
( spl51_285
<=> e1 = sF40 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_285])]) ).
fof(f1837,plain,
( e4 = sF40
| ~ spl51_266 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f1835,plain,
( spl51_266
<=> e4 = sF40 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_266])]) ).
fof(f3760,plain,
( ~ spl51_185
| spl51_216
| ~ spl51_245 ),
inference(avatar_contradiction_clause,[],[f3759]) ).
fof(f3759,plain,
( $false
| ~ spl51_185
| spl51_216
| ~ spl51_245 ),
inference(subsumption_resolution,[],[f3758,f1505]) ).
fof(f1505,plain,
( e1 != op(e3,e2)
| spl51_216 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1504,plain,
( spl51_216
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_216])]) ).
fof(f3758,plain,
( e1 = op(e3,e2)
| ~ spl51_185
| ~ spl51_245 ),
inference(forward_demodulation,[],[f1672,f1329]) ).
fof(f1329,plain,
( e3 = sF42
| ~ spl51_185 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1327,plain,
( spl51_185
<=> e3 = sF42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_185])]) ).
fof(f1672,plain,
( e1 = op(sF42,e2)
| ~ spl51_245 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1670,plain,
( spl51_245
<=> e1 = op(sF42,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_245])]) ).
fof(f3744,plain,
( spl51_176
| ~ spl51_189
| ~ spl51_285 ),
inference(avatar_contradiction_clause,[],[f3743]) ).
fof(f3743,plain,
( $false
| spl51_176
| ~ spl51_189
| ~ spl51_285 ),
inference(subsumption_resolution,[],[f3742,f1271]) ).
fof(f1271,plain,
( e2 != op(e1,e3)
| spl51_176 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1270,plain,
( spl51_176
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_176])]) ).
fof(f3742,plain,
( e2 = op(e1,e3)
| ~ spl51_189
| ~ spl51_285 ),
inference(forward_demodulation,[],[f1351,f1960]) ).
fof(f1351,plain,
( e2 = op(sF40,e3)
| ~ spl51_189 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1349,plain,
( spl51_189
<=> e2 = op(sF40,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_189])]) ).
fof(f3729,plain,
( spl51_22
| ~ spl51_184
| ~ spl51_249 ),
inference(avatar_contradiction_clause,[],[f3728]) ).
fof(f3728,plain,
( $false
| spl51_22
| ~ spl51_184
| ~ spl51_249 ),
inference(subsumption_resolution,[],[f3727,f510]) ).
fof(f510,plain,
( e1 != op(e4,e3)
| spl51_22 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl51_22
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_22])]) ).
fof(f3727,plain,
( e1 = op(e4,e3)
| ~ spl51_184
| ~ spl51_249 ),
inference(forward_demodulation,[],[f1320,f1705]) ).
fof(f1320,plain,
( e1 = op(sF50,e3)
| ~ spl51_184 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl51_184
<=> e1 = op(sF50,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_184])]) ).
fof(f3721,plain,
( ~ spl51_39
| ~ spl51_63
| spl51_196 ),
inference(avatar_contradiction_clause,[],[f3720]) ).
fof(f3720,plain,
( $false
| ~ spl51_39
| ~ spl51_63
| spl51_196 ),
inference(subsumption_resolution,[],[f3719,f3379]) ).
fof(f3379,plain,
( e3 = sF32
| ~ spl51_63 ),
inference(forward_demodulation,[],[f372,f693]) ).
fof(f693,plain,
( e3 = op(e0,e3)
| ~ spl51_63 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl51_63
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_63])]) ).
fof(f372,plain,
op(e0,e3) = sF32,
introduced(function_definition,[]) ).
fof(f3719,plain,
( e3 != sF32
| ~ spl51_39
| spl51_196 ),
inference(forward_demodulation,[],[f1387,f587]) ).
fof(f587,plain,
( e3 = sF27
| ~ spl51_39 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl51_39
<=> e3 = sF27 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_39])]) ).
fof(f1387,plain,
( sF32 != sF27
| spl51_196 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl51_196
<=> sF32 = sF27 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_196])]) ).
fof(f3718,plain,
( ~ spl51_11
| ~ spl51_63
| spl51_286 ),
inference(avatar_contradiction_clause,[],[f3717]) ).
fof(f3717,plain,
( $false
| ~ spl51_11
| ~ spl51_63
| spl51_286 ),
inference(subsumption_resolution,[],[f3716,f463]) ).
fof(f463,plain,
( e3 = op(e3,e0)
| ~ spl51_11 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl51_11
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f3716,plain,
( e3 != op(e3,e0)
| ~ spl51_63
| spl51_286 ),
inference(forward_demodulation,[],[f1972,f3379]) ).
fof(f1972,plain,
( e3 != op(sF32,e0)
| spl51_286 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1970,plain,
( spl51_286
<=> e3 = op(sF32,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_286])]) ).
fof(f3715,plain,
( ~ spl51_201
| ~ spl51_261
| spl51_282 ),
inference(avatar_contradiction_clause,[],[f3714]) ).
fof(f3714,plain,
( $false
| ~ spl51_201
| ~ spl51_261
| spl51_282 ),
inference(subsumption_resolution,[],[f3713,f1420]) ).
fof(f1420,plain,
( e4 = sF44
| ~ spl51_201 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1418,plain,
( spl51_201
<=> e4 = sF44 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_201])]) ).
fof(f3713,plain,
( e4 != sF44
| ~ spl51_261
| spl51_282 ),
inference(forward_demodulation,[],[f1932,f1798]) ).
fof(f1798,plain,
( e4 = sF36
| ~ spl51_261 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1796,plain,
( spl51_261
<=> e4 = sF36 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_261])]) ).
fof(f1932,plain,
( sF44 != sF36
| spl51_282 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1930,plain,
( spl51_282
<=> sF44 = sF36 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_282])]) ).
fof(f3706,plain,
( ~ spl51_2
| spl51_32
| ~ spl51_147 ),
inference(avatar_contradiction_clause,[],[f3705]) ).
fof(f3705,plain,
( $false
| ~ spl51_2
| spl51_32
| ~ spl51_147 ),
inference(subsumption_resolution,[],[f3704,f1100]) ).
fof(f1100,plain,
( e2 = op(e0,e2)
| ~ spl51_147 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1098,plain,
( spl51_147
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_147])]) ).
fof(f3704,plain,
( e2 != op(e0,e2)
| ~ spl51_2
| spl51_32 ),
inference(forward_demodulation,[],[f553,f425]) ).
fof(f425,plain,
( e2 = op(e2,e0)
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl51_2
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f553,plain,
( op(e0,e2) != op(e2,e0)
| spl51_32 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl51_32
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_32])]) ).
fof(f3694,plain,
( spl51_14
| ~ spl51_129
| ~ spl51_180 ),
inference(avatar_contradiction_clause,[],[f3693]) ).
fof(f3693,plain,
( $false
| spl51_14
| ~ spl51_129
| ~ spl51_180 ),
inference(subsumption_resolution,[],[f3692,f476]) ).
fof(f476,plain,
( e2 != op(e4,e1)
| spl51_14 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl51_14
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f3692,plain,
( e2 = op(e4,e1)
| ~ spl51_129
| ~ spl51_180 ),
inference(forward_demodulation,[],[f1291,f1012]) ).
fof(f1291,plain,
( e2 = op(sF46,e1)
| ~ spl51_180 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1289,plain,
( spl51_180
<=> e2 = op(sF46,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_180])]) ).
fof(f3675,plain,
( ~ spl51_15
| spl51_110 ),
inference(avatar_contradiction_clause,[],[f3674]) ).
fof(f3674,plain,
( $false
| ~ spl51_15
| spl51_110 ),
inference(subsumption_resolution,[],[f3673,f256]) ).
fof(f256,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e0 = op(op(e4,e2),op(e4,e2))
& e3 = op(e2,e4)
& e1 = op(e4,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f3673,plain,
( e3 != op(e2,e4)
| ~ spl51_15
| spl51_110 ),
inference(forward_demodulation,[],[f919,f481]) ).
fof(f481,plain,
( e2 = op(e4,e3)
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl51_15
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f919,plain,
( e3 != op(op(e4,e3),e4)
| spl51_110 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl51_110
<=> e3 = op(op(e4,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_110])]) ).
fof(f3669,plain,
( ~ spl51_15
| spl51_159
| ~ spl51_160 ),
inference(avatar_contradiction_clause,[],[f3668]) ).
fof(f3668,plain,
( $false
| ~ spl51_15
| spl51_159
| ~ spl51_160 ),
inference(subsumption_resolution,[],[f3667,f481]) ).
fof(f3667,plain,
( e2 != op(e4,e3)
| spl51_159
| ~ spl51_160 ),
inference(forward_demodulation,[],[f1164,f1170]) ).
fof(f1170,plain,
( e4 = sF45
| ~ spl51_160 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1169,plain,
( spl51_160
<=> e4 = sF45 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_160])]) ).
fof(f1164,plain,
( e2 != op(sF45,e3)
| spl51_159 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1162,plain,
( spl51_159
<=> e2 = op(sF45,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_159])]) ).
fof(f3659,plain,
( ~ spl51_216
| ~ spl51_50 ),
inference(avatar_split_clause,[],[f3658,f632,f1504]) ).
fof(f3658,plain,
( e1 != op(e3,e2)
| ~ spl51_50 ),
inference(forward_demodulation,[],[f1437,f3607]) ).
fof(f3607,plain,
( e1 = sF33
| ~ spl51_50 ),
inference(backward_demodulation,[],[f374,f634]) ).
fof(f374,plain,
op(e3,e4) = sF33,
introduced(function_definition,[]) ).
fof(f1437,plain,
op(e3,e2) != sF33,
inference(forward_demodulation,[],[f114,f374]) ).
fof(f114,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e1,e1) != op(e1,e4)
& op(e2,e1) != op(e2,e2)
& op(e0,e3) != op(e3,e3)
& op(e4,e2) != op(e4,e3)
& op(e1,e0) != op(e1,e2)
& op(e0,e4) != op(e2,e4)
& op(e1,e0) != op(e3,e0)
& op(e2,e3) != op(e4,e3)
& op(e0,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e4,e1) != op(e4,e3)
& op(e3,e1) != op(e3,e3)
& op(e2,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e3)
& op(e3,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e4) != op(e3,e4)
& op(e2,e3) != op(e3,e3)
& op(e4,e0) != op(e4,e4)
& op(e3,e3) != op(e3,e4)
& op(e0,e0) != op(e1,e0)
& op(e3,e0) != op(e3,e3)
& op(e0,e2) != op(e3,e2)
& op(e2,e0) != op(e3,e0)
& op(e4,e0) != op(e4,e2)
& op(e0,e3) != op(e4,e3)
& op(e3,e1) != op(e3,e4)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e0) != op(e2,e1)
& op(e1,e4) != op(e2,e4)
& op(e2,e1) != op(e4,e1)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e2,e1)
& op(e1,e0) != op(e2,e0)
& op(e0,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e4)
& op(e2,e2) != op(e4,e2)
& op(e4,e1) != op(e4,e2)
& op(e2,e1) != op(e2,e4)
& op(e1,e2) != op(e1,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e3) != op(e4,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e1,e2) != op(e3,e2)
& op(e0,e1) != op(e0,e4)
& op(e1,e2) != op(e4,e2)
& op(e0,e2) != op(e2,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e3) != op(e3,e3)
& op(e0,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e0,e0) != op(e4,e0)
& op(e2,e4) != op(e3,e4)
& op(e4,e0) != op(e4,e3)
& op(e1,e0) != op(e1,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e3) != op(e0,e4)
& op(e3,e4) != op(e4,e4)
& op(e3,e2) != op(e3,e3)
& op(e0,e0) != op(e0,e4)
& op(e1,e3) != op(e2,e3)
& op(e0,e4) != op(e1,e4)
& op(e2,e3) != op(e2,e4)
& op(e4,e2) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e1,e1) != op(e3,e1)
& op(e0,e0) != op(e2,e0)
& op(e3,e0) != op(e3,e4)
& op(e2,e1) != op(e2,e3)
& op(e1,e1) != op(e1,e2)
& op(e3,e0) != op(e4,e0)
& op(e0,e0) != op(e0,e2)
& op(e1,e3) != op(e4,e3)
& op(e0,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e3)
& op(e1,e0) != op(e1,e3)
& op(e0,e2) != op(e0,e4)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e4,e3) != op(e4,e4)
& op(e1,e0) != op(e4,e0)
& op(e1,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e4,e1) != op(e4,e4)
& op(e0,e1) != op(e0,e2)
& op(e1,e3) != op(e1,e4)
& op(e4,e0) != op(e4,e1)
& op(e0,e1) != op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3651,plain,
( ~ spl51_53
| ~ spl51_201
| spl51_283 ),
inference(avatar_contradiction_clause,[],[f3650]) ).
fof(f3650,plain,
( $false
| ~ spl51_53
| ~ spl51_201
| spl51_283 ),
inference(subsumption_resolution,[],[f3649,f647]) ).
fof(f647,plain,
( e4 = op(e4,e0)
| ~ spl51_53 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl51_53
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_53])]) ).
fof(f3649,plain,
( e4 != op(e4,e0)
| ~ spl51_201
| spl51_283 ),
inference(backward_demodulation,[],[f1945,f1420]) ).
fof(f1945,plain,
( e4 != op(sF44,e0)
| spl51_283 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1943,plain,
( spl51_283
<=> e4 = op(sF44,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_283])]) ).
fof(f3622,plain,
( ~ spl51_177
| ~ spl51_249 ),
inference(avatar_contradiction_clause,[],[f3621]) ).
fof(f3621,plain,
( $false
| ~ spl51_177
| ~ spl51_249 ),
inference(subsumption_resolution,[],[f3620,f164]) ).
fof(f3620,plain,
( e3 = e4
| ~ spl51_177
| ~ spl51_249 ),
inference(forward_demodulation,[],[f3619,f1276]) ).
fof(f1276,plain,
( e3 = op(e1,e3)
| ~ spl51_177 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1274,plain,
( spl51_177
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_177])]) ).
fof(f3619,plain,
( e4 = op(e1,e3)
| ~ spl51_249 ),
inference(forward_demodulation,[],[f411,f1705]) ).
fof(f3578,plain,
( spl51_260
| ~ spl51_162 ),
inference(avatar_split_clause,[],[f3573,f1181,f1792]) ).
fof(f1792,plain,
( spl51_260
<=> e0 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_260])]) ).
fof(f1181,plain,
( spl51_162
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_162])]) ).
fof(f3573,plain,
( e0 = sF24
| ~ spl51_162 ),
inference(backward_demodulation,[],[f358,f1183]) ).
fof(f1183,plain,
( e0 = op(e4,e4)
| ~ spl51_162 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f358,plain,
op(e4,e4) = sF24,
introduced(function_definition,[]) ).
fof(f3546,plain,
( ~ spl51_185
| ~ spl51_233 ),
inference(avatar_contradiction_clause,[],[f3545]) ).
fof(f3545,plain,
( $false
| ~ spl51_185
| ~ spl51_233 ),
inference(subsumption_resolution,[],[f3544,f164]) ).
fof(f3544,plain,
( e3 = e4
| ~ spl51_185
| ~ spl51_233 ),
inference(backward_demodulation,[],[f1608,f1329]) ).
fof(f1608,plain,
( e4 = sF42
| ~ spl51_233 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f1606,plain,
( spl51_233
<=> e4 = sF42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_233])]) ).
fof(f3531,plain,
( ~ spl51_207
| spl51_290 ),
inference(avatar_contradiction_clause,[],[f3530]) ).
fof(f3530,plain,
( $false
| ~ spl51_207
| spl51_290 ),
inference(subsumption_resolution,[],[f3529,f2017]) ).
fof(f2017,plain,
( e2 != sF28
| spl51_290 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2016,plain,
( spl51_290
<=> e2 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_290])]) ).
fof(f3529,plain,
( e2 = sF28
| ~ spl51_207 ),
inference(forward_demodulation,[],[f364,f1451]) ).
fof(f1451,plain,
( e2 = op(e2,e2)
| ~ spl51_207 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1449,plain,
( spl51_207
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_207])]) ).
fof(f364,plain,
op(e2,e2) = sF28,
introduced(function_definition,[]) ).
fof(f3503,plain,
( spl51_201
| ~ spl51_27 ),
inference(avatar_split_clause,[],[f3502,f530,f1418]) ).
fof(f530,plain,
( spl51_27
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_27])]) ).
fof(f3502,plain,
( e4 = sF44
| ~ spl51_27 ),
inference(forward_demodulation,[],[f398,f532]) ).
fof(f532,plain,
( e4 = op(e0,e4)
| ~ spl51_27 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f398,plain,
op(e0,e4) = sF44,
introduced(function_definition,[]) ).
fof(f3472,plain,
( spl51_11
| ~ spl51_228 ),
inference(avatar_split_clause,[],[f3181,f1563,f461]) ).
fof(f1563,plain,
( spl51_228
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl51_228])]) ).
fof(f3181,plain,
( e3 = op(e3,e0)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f176,f1565]) ).
fof(f1565,plain,
( e0 = unit
| ~ spl51_228 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f176,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e2 = op(unit,e2)
& e2 = op(e2,unit)
& e1 = op(unit,e1)
& e3 = op(e3,unit)
& e4 = op(e4,unit)
& e0 = op(unit,e0)
& e0 = op(e0,unit)
& e4 = op(unit,e4)
& e1 = op(e1,unit)
& ( e3 = unit
| e0 = unit
| e4 = unit
| e1 = unit
| e2 = unit )
& e3 = op(unit,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3468,plain,
( ~ spl51_9
| ~ spl51_228 ),
inference(avatar_contradiction_clause,[],[f3467]) ).
fof(f3467,plain,
( $false
| ~ spl51_9
| ~ spl51_228 ),
inference(subsumption_resolution,[],[f3466,f164]) ).
fof(f3466,plain,
( e3 = e4
| ~ spl51_9
| ~ spl51_228 ),
inference(forward_demodulation,[],[f3164,f455]) ).
fof(f455,plain,
( e3 = op(e4,e0)
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl51_9
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f3164,plain,
( e4 = op(e4,e0)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f175,f1565]) ).
fof(f175,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3456,plain,
( ~ spl51_248
| ~ spl51_249 ),
inference(avatar_contradiction_clause,[],[f3455]) ).
fof(f3455,plain,
( $false
| ~ spl51_248
| ~ spl51_249 ),
inference(subsumption_resolution,[],[f3454,f159]) ).
fof(f3454,plain,
( e2 = e4
| ~ spl51_248
| ~ spl51_249 ),
inference(backward_demodulation,[],[f1705,f1695]) ).
fof(f1695,plain,
( e2 = sF50
| ~ spl51_248 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1693,plain,
( spl51_248
<=> e2 = sF50 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_248])]) ).
fof(f3452,plain,
( ~ spl51_78
| ~ spl51_243 ),
inference(avatar_split_clause,[],[f3451,f1655,f764]) ).
fof(f764,plain,
( spl51_78
<=> e1 = sF44 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_78])]) ).
fof(f1655,plain,
( spl51_243
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_243])]) ).
fof(f3451,plain,
( e1 != sF44
| ~ spl51_243 ),
inference(forward_demodulation,[],[f1192,f1657]) ).
fof(f1657,plain,
( e1 = op(e0,e1)
| ~ spl51_243 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1192,plain,
op(e0,e1) != sF44,
inference(forward_demodulation,[],[f104,f398]) ).
fof(f104,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3420,plain,
( ~ spl51_124
| ~ spl51_261 ),
inference(avatar_split_clause,[],[f3127,f1796,f984]) ).
fof(f984,plain,
( spl51_124
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_124])]) ).
fof(f3127,plain,
( e4 != op(e4,e1)
| ~ spl51_261 ),
inference(forward_demodulation,[],[f1918,f1798]) ).
fof(f1918,plain,
op(e4,e1) != sF36,
inference(forward_demodulation,[],[f60,f381]) ).
fof(f381,plain,
op(e4,e0) = sF36,
introduced(function_definition,[]) ).
fof(f60,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3406,plain,
( ~ spl51_173
| ~ spl51_63 ),
inference(avatar_split_clause,[],[f3405,f691,f1256]) ).
fof(f1256,plain,
( spl51_173
<=> e3 = sF50 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_173])]) ).
fof(f3405,plain,
( e3 != sF50
| ~ spl51_63 ),
inference(forward_demodulation,[],[f1582,f3379]) ).
fof(f1582,plain,
sF32 != sF50,
inference(backward_demodulation,[],[f681,f372]) ).
fof(f681,plain,
op(e0,e3) != sF50,
inference(backward_demodulation,[],[f148,f411]) ).
fof(f148,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3350,plain,
( spl51_71
| ~ spl51_142 ),
inference(avatar_split_clause,[],[f3346,f1070,f726]) ).
fof(f726,plain,
( spl51_71
<=> e0 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_71])]) ).
fof(f1070,plain,
( spl51_142
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_142])]) ).
fof(f3346,plain,
( e0 = sF28
| ~ spl51_142 ),
inference(backward_demodulation,[],[f364,f1072]) ).
fof(f1072,plain,
( e0 = op(e2,e2)
| ~ spl51_142 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f3313,plain,
( spl51_27
| ~ spl51_228 ),
inference(avatar_contradiction_clause,[],[f3312]) ).
fof(f3312,plain,
( $false
| spl51_27
| ~ spl51_228 ),
inference(subsumption_resolution,[],[f3043,f531]) ).
fof(f531,plain,
( e4 != op(e0,e4)
| spl51_27 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f3043,plain,
( e4 = op(e0,e4)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f172,f1565]) ).
fof(f172,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3300,plain,
~ spl51_79,
inference(avatar_contradiction_clause,[],[f3299]) ).
fof(f3299,plain,
( $false
| ~ spl51_79 ),
inference(subsumption_resolution,[],[f3298,f168]) ).
fof(f168,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3298,plain,
( e1 = e3
| ~ spl51_79 ),
inference(backward_demodulation,[],[f256,f770]) ).
fof(f770,plain,
( e1 = op(e2,e4)
| ~ spl51_79 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f3262,plain,
( spl51_175
| ~ spl51_259 ),
inference(avatar_contradiction_clause,[],[f3261]) ).
fof(f3261,plain,
( $false
| spl51_175
| ~ spl51_259 ),
inference(subsumption_resolution,[],[f3260,f1267]) ).
fof(f1267,plain,
( e1 != op(e1,e3)
| spl51_175 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1266,plain,
( spl51_175
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_175])]) ).
fof(f3260,plain,
( e1 = op(e1,e3)
| ~ spl51_259 ),
inference(forward_demodulation,[],[f411,f1773]) ).
fof(f1773,plain,
( e1 = sF50
| ~ spl51_259 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1771,plain,
( spl51_259
<=> e1 = sF50 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_259])]) ).
fof(f3258,plain,
( spl51_208
| ~ spl51_45 ),
inference(avatar_split_clause,[],[f3257,f611,f1459]) ).
fof(f3257,plain,
( e2 = sF39
| ~ spl51_45 ),
inference(forward_demodulation,[],[f387,f613]) ).
fof(f387,plain,
op(e1,e4) = sF39,
introduced(function_definition,[]) ).
fof(f3253,plain,
( spl51_147
| ~ spl51_228 ),
inference(avatar_split_clause,[],[f3097,f1563,f1098]) ).
fof(f3097,plain,
( e2 = op(e0,e2)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f179,f1565]) ).
fof(f179,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3240,plain,
( ~ spl51_14
| ~ spl51_151
| spl51_210 ),
inference(avatar_contradiction_clause,[],[f3239]) ).
fof(f3239,plain,
( $false
| ~ spl51_14
| ~ spl51_151
| spl51_210 ),
inference(subsumption_resolution,[],[f3238,f1468]) ).
fof(f1468,plain,
( e2 != e3
| spl51_210 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl51_210
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_210])]) ).
fof(f3238,plain,
( e2 = e3
| ~ spl51_14
| ~ spl51_151 ),
inference(forward_demodulation,[],[f1120,f477]) ).
fof(f477,plain,
( e2 = op(e4,e1)
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f3230,plain,
( ~ spl51_59
| ~ spl51_72 ),
inference(avatar_split_clause,[],[f2802,f730,f672]) ).
fof(f672,plain,
( spl51_59
<=> e2 = sF46 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_59])]) ).
fof(f730,plain,
( spl51_72
<=> e2 = sF29 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_72])]) ).
fof(f2802,plain,
( e2 != sF46
| ~ spl51_72 ),
inference(forward_demodulation,[],[f2020,f732]) ).
fof(f732,plain,
( e2 = sF29
| ~ spl51_72 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f2020,plain,
sF46 != sF29,
inference(backward_demodulation,[],[f853,f365]) ).
fof(f365,plain,
op(e2,e0) = sF29,
introduced(function_definition,[]) ).
fof(f853,plain,
op(e2,e0) != sF46,
inference(forward_demodulation,[],[f124,f402]) ).
fof(f124,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3216,plain,
( ~ spl51_122
| ~ spl51_162 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3215,plain,
( $false
| ~ spl51_122
| ~ spl51_162 ),
inference(subsumption_resolution,[],[f3214,f165]) ).
fof(f3214,plain,
( e0 = e4
| ~ spl51_122
| ~ spl51_162 ),
inference(forward_demodulation,[],[f978,f1183]) ).
fof(f978,plain,
( e4 = op(e4,e4)
| ~ spl51_122 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f976,plain,
( spl51_122
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_122])]) ).
fof(f3189,plain,
( spl51_93
| ~ spl51_228 ),
inference(avatar_contradiction_clause,[],[f3188]) ).
fof(f3188,plain,
( $false
| spl51_93
| ~ spl51_228 ),
inference(subsumption_resolution,[],[f3187,f833]) ).
fof(f833,plain,
( e0 != op(e0,e0)
| spl51_93 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl51_93
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_93])]) ).
fof(f3187,plain,
( e0 = op(e0,e0)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f174,f1565]) ).
fof(f174,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f3144,plain,
( spl51_63
| ~ spl51_228 ),
inference(avatar_contradiction_clause,[],[f3143]) ).
fof(f3143,plain,
( $false
| spl51_63
| ~ spl51_228 ),
inference(subsumption_resolution,[],[f3142,f692]) ).
fof(f692,plain,
( e3 != op(e0,e3)
| spl51_63 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f3142,plain,
( e3 = op(e0,e3)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f169,f1565]) ).
fof(f169,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3141,plain,
( spl51_84
| ~ spl51_206 ),
inference(avatar_contradiction_clause,[],[f3140]) ).
fof(f3140,plain,
( $false
| spl51_84
| ~ spl51_206 ),
inference(subsumption_resolution,[],[f3139,f793]) ).
fof(f793,plain,
( e4 != sF28
| spl51_84 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f791,plain,
( spl51_84
<=> e4 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_84])]) ).
fof(f3139,plain,
( e4 = sF28
| ~ spl51_206 ),
inference(backward_demodulation,[],[f364,f1447]) ).
fof(f1447,plain,
( e4 = op(e2,e2)
| ~ spl51_206 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1445,plain,
( spl51_206
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_206])]) ).
fof(f3138,plain,
( ~ spl51_199
| ~ spl51_23 ),
inference(avatar_split_clause,[],[f3137,f513,f1404]) ).
fof(f1404,plain,
( spl51_199
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_199])]) ).
fof(f3137,plain,
( e1 != op(e2,e2)
| ~ spl51_23 ),
inference(forward_demodulation,[],[f2050,f2132]) ).
fof(f2050,plain,
op(e2,e2) != sF25,
inference(forward_demodulation,[],[f113,f359]) ).
fof(f113,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3019,plain,
( ~ spl51_228
| spl51_243 ),
inference(avatar_contradiction_clause,[],[f3018]) ).
fof(f3018,plain,
( $false
| ~ spl51_228
| spl51_243 ),
inference(subsumption_resolution,[],[f3017,f1656]) ).
fof(f1656,plain,
( e1 != op(e0,e1)
| spl51_243 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f3017,plain,
( e1 = op(e0,e1)
| ~ spl51_228 ),
inference(forward_demodulation,[],[f177,f1565]) ).
fof(f177,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3016,plain,
( ~ spl51_96
| ~ spl51_169 ),
inference(avatar_contradiction_clause,[],[f3015]) ).
fof(f3015,plain,
( $false
| ~ spl51_96
| ~ spl51_169 ),
inference(subsumption_resolution,[],[f3014,f161]) ).
fof(f161,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f3014,plain,
( e0 = e2
| ~ spl51_96
| ~ spl51_169 ),
inference(forward_demodulation,[],[f1228,f846]) ).
fof(f846,plain,
( e0 = sF35
| ~ spl51_96 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl51_96
<=> e0 = sF35 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_96])]) ).
fof(f1228,plain,
( e2 = sF35
| ~ spl51_169 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1227,plain,
( spl51_169
<=> e2 = sF35 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_169])]) ).
fof(f2976,plain,
( ~ spl51_83
| spl51_210 ),
inference(avatar_contradiction_clause,[],[f2975]) ).
fof(f2975,plain,
( $false
| ~ spl51_83
| spl51_210 ),
inference(subsumption_resolution,[],[f2974,f1468]) ).
fof(f2974,plain,
( e2 = e3
| ~ spl51_83 ),
inference(backward_demodulation,[],[f1204,f789]) ).
fof(f789,plain,
( e2 = sF49
| ~ spl51_83 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f787,plain,
( spl51_83
<=> e2 = sF49 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_83])]) ).
fof(f1204,plain,
e3 = sF49,
inference(forward_demodulation,[],[f408,f256]) ).
fof(f408,plain,
op(e2,e4) = sF49,
introduced(function_definition,[]) ).
fof(f2962,plain,
( ~ spl51_23
| ~ spl51_167 ),
inference(avatar_contradiction_clause,[],[f2961]) ).
fof(f2961,plain,
( $false
| ~ spl51_23
| ~ spl51_167 ),
inference(subsumption_resolution,[],[f2960,f168]) ).
fof(f2960,plain,
( e1 = e3
| ~ spl51_23
| ~ spl51_167 ),
inference(forward_demodulation,[],[f1217,f2132]) ).
fof(f1217,plain,
( e3 = sF25
| ~ spl51_167 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1216,plain,
( spl51_167
<=> e3 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_167])]) ).
fof(f2952,plain,
( spl51_175
| ~ spl51_227 ),
inference(avatar_contradiction_clause,[],[f2951]) ).
fof(f2951,plain,
( $false
| spl51_175
| ~ spl51_227 ),
inference(subsumption_resolution,[],[f2950,f1267]) ).
fof(f2950,plain,
( e1 = op(e1,e3)
| ~ spl51_227 ),
inference(forward_demodulation,[],[f171,f1561]) ).
fof(f1561,plain,
( e3 = unit
| ~ spl51_227 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl51_227
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl51_227])]) ).
fof(f171,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2941,plain,
( ~ spl51_96
| ~ spl51_212 ),
inference(avatar_contradiction_clause,[],[f2940]) ).
fof(f2940,plain,
( $false
| ~ spl51_96
| ~ spl51_212 ),
inference(subsumption_resolution,[],[f2939,f165]) ).
fof(f2939,plain,
( e0 = e4
| ~ spl51_96
| ~ spl51_212 ),
inference(forward_demodulation,[],[f1478,f846]) ).
fof(f1478,plain,
( e4 = sF35
| ~ spl51_212 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1477,plain,
( spl51_212
<=> e4 = sF35 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_212])]) ).
fof(f2938,plain,
( ~ spl51_243
| ~ spl51_241 ),
inference(avatar_split_clause,[],[f2937,f1647,f1655]) ).
fof(f1647,plain,
( spl51_241
<=> e1 = sF46 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_241])]) ).
fof(f2937,plain,
( e1 != op(e0,e1)
| ~ spl51_241 ),
inference(forward_demodulation,[],[f583,f1649]) ).
fof(f1649,plain,
( e1 = sF46
| ~ spl51_241 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f583,plain,
op(e0,e1) != sF46,
inference(backward_demodulation,[],[f117,f402]) ).
fof(f117,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2903,plain,
( ~ spl51_75
| ~ spl51_97 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2902,plain,
( $false
| ~ spl51_75
| ~ spl51_97 ),
inference(subsumption_resolution,[],[f2901,f160]) ).
fof(f160,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2901,plain,
( e1 = e2
| ~ spl51_75
| ~ spl51_97 ),
inference(forward_demodulation,[],[f746,f851]) ).
fof(f746,plain,
( e2 = sF43
| ~ spl51_75 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl51_75
<=> e2 = sF43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_75])]) ).
fof(f2885,plain,
( spl51_248
| ~ spl51_176 ),
inference(avatar_split_clause,[],[f2884,f1270,f1693]) ).
fof(f2884,plain,
( e2 = sF50
| ~ spl51_176 ),
inference(forward_demodulation,[],[f411,f1272]) ).
fof(f1272,plain,
( e2 = op(e1,e3)
| ~ spl51_176 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f2847,plain,
( spl51_2
| ~ spl51_72 ),
inference(avatar_split_clause,[],[f2677,f730,f423]) ).
fof(f2677,plain,
( e2 = op(e2,e0)
| ~ spl51_72 ),
inference(forward_demodulation,[],[f365,f732]) ).
fof(f2830,plain,
( ~ spl51_247
| ~ spl51_147 ),
inference(avatar_split_clause,[],[f2829,f1098,f1689]) ).
fof(f1689,plain,
( spl51_247
<=> e2 = sF32 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_247])]) ).
fof(f2829,plain,
( e2 != sF32
| ~ spl51_147 ),
inference(forward_demodulation,[],[f1580,f1100]) ).
fof(f1580,plain,
op(e0,e2) != sF32,
inference(backward_demodulation,[],[f120,f372]) ).
fof(f120,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2826,plain,
( ~ spl51_24
| spl51_101 ),
inference(avatar_contradiction_clause,[],[f2825]) ).
fof(f2825,plain,
( $false
| ~ spl51_24
| spl51_101 ),
inference(subsumption_resolution,[],[f2822,f870]) ).
fof(f870,plain,
( e1 != sF24
| spl51_101 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f868,plain,
( spl51_101
<=> e1 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_101])]) ).
fof(f2822,plain,
( e1 = sF24
| ~ spl51_24 ),
inference(backward_demodulation,[],[f358,f519]) ).
fof(f519,plain,
( e1 = op(e4,e4)
| ~ spl51_24 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl51_24
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_24])]) ).
fof(f2744,plain,
( ~ spl51_243
| ~ spl51_97
| spl51_107 ),
inference(avatar_split_clause,[],[f2743,f903,f849,f1655]) ).
fof(f903,plain,
( spl51_107
<=> op(e0,e1) = sF43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_107])]) ).
fof(f2743,plain,
( e1 != op(e0,e1)
| ~ spl51_97
| spl51_107 ),
inference(forward_demodulation,[],[f905,f851]) ).
fof(f905,plain,
( op(e0,e1) != sF43
| spl51_107 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f2735,plain,
( ~ spl51_97
| ~ spl51_187 ),
inference(avatar_contradiction_clause,[],[f2734]) ).
fof(f2734,plain,
( $false
| ~ spl51_97
| ~ spl51_187 ),
inference(subsumption_resolution,[],[f2733,f168]) ).
fof(f2733,plain,
( e1 = e3
| ~ spl51_97
| ~ spl51_187 ),
inference(backward_demodulation,[],[f1337,f851]) ).
fof(f1337,plain,
( e3 = sF43
| ~ spl51_187 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1335,plain,
( spl51_187
<=> e3 = sF43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_187])]) ).
fof(f2636,plain,
( ~ spl51_23
| ~ spl51_226 ),
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2635,plain,
( $false
| ~ spl51_23
| ~ spl51_226 ),
inference(subsumption_resolution,[],[f2634,f160]) ).
fof(f2634,plain,
( e1 = e2
| ~ spl51_23
| ~ spl51_226 ),
inference(forward_demodulation,[],[f2633,f515]) ).
fof(f2633,plain,
( e2 = op(e4,e2)
| ~ spl51_226 ),
inference(forward_demodulation,[],[f179,f1557]) ).
fof(f1557,plain,
( e4 = unit
| ~ spl51_226 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1555,plain,
( spl51_226
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl51_226])]) ).
fof(f2598,plain,
( spl51_96
| ~ spl51_91 ),
inference(avatar_split_clause,[],[f2500,f822,f845]) ).
fof(f822,plain,
( spl51_91
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_91])]) ).
fof(f2500,plain,
( e0 = sF35
| ~ spl51_91 ),
inference(forward_demodulation,[],[f378,f824]) ).
fof(f824,plain,
( e0 = op(e1,e1)
| ~ spl51_91 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f378,plain,
op(e1,e1) = sF35,
introduced(function_definition,[]) ).
fof(f2570,plain,
( ~ spl51_60
| ~ spl51_147 ),
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2569,plain,
( $false
| ~ spl51_60
| ~ spl51_147 ),
inference(subsumption_resolution,[],[f2568,f678]) ).
fof(f678,plain,
( e2 = op(e0,e1)
| ~ spl51_60 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl51_60
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_60])]) ).
fof(f2568,plain,
( e2 != op(e0,e1)
| ~ spl51_147 ),
inference(forward_demodulation,[],[f1979,f2399]) ).
fof(f2399,plain,
( e2 = sF47
| ~ spl51_147 ),
inference(backward_demodulation,[],[f404,f1100]) ).
fof(f404,plain,
op(e0,e2) = sF47,
introduced(function_definition,[]) ).
fof(f1979,plain,
op(e0,e1) != sF47,
inference(forward_demodulation,[],[f62,f404]) ).
fof(f62,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2559,plain,
( ~ spl51_91
| ~ spl51_225 ),
inference(avatar_contradiction_clause,[],[f2558]) ).
fof(f2558,plain,
( $false
| ~ spl51_91
| ~ spl51_225 ),
inference(subsumption_resolution,[],[f2557,f167]) ).
fof(f167,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f2557,plain,
( e0 = e1
| ~ spl51_91
| ~ spl51_225 ),
inference(forward_demodulation,[],[f2543,f824]) ).
fof(f2543,plain,
( e1 = op(e1,e1)
| ~ spl51_225 ),
inference(backward_demodulation,[],[f177,f1553]) ).
fof(f1553,plain,
( e1 = unit
| ~ spl51_225 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1551,plain,
( spl51_225
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl51_225])]) ).
fof(f2489,plain,
( ~ spl51_161
| ~ spl51_93 ),
inference(avatar_split_clause,[],[f2485,f832,f1177]) ).
fof(f1177,plain,
( spl51_161
<=> e0 = sF44 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_161])]) ).
fof(f2485,plain,
( e0 != sF44
| ~ spl51_93 ),
inference(backward_demodulation,[],[f1827,f2482]) ).
fof(f2482,plain,
( e0 = sF37
| ~ spl51_93 ),
inference(forward_demodulation,[],[f383,f834]) ).
fof(f834,plain,
( e0 = op(e0,e0)
| ~ spl51_93 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f383,plain,
op(e0,e0) = sF37,
introduced(function_definition,[]) ).
fof(f1827,plain,
sF44 != sF37,
inference(backward_demodulation,[],[f749,f383]) ).
fof(f749,plain,
op(e0,e0) != sF44,
inference(backward_demodulation,[],[f89,f398]) ).
fof(f89,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2454,plain,
( ~ spl51_50
| ~ spl51_51 ),
inference(avatar_contradiction_clause,[],[f2453]) ).
fof(f2453,plain,
( $false
| ~ spl51_50
| ~ spl51_51 ),
inference(subsumption_resolution,[],[f2452,f167]) ).
fof(f2452,plain,
( e0 = e1
| ~ spl51_50
| ~ spl51_51 ),
inference(backward_demodulation,[],[f634,f638]) ).
fof(f638,plain,
( e0 = op(e3,e4)
| ~ spl51_51 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl51_51
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_51])]) ).
fof(f2432,plain,
( ~ spl51_290
| ~ spl51_147 ),
inference(avatar_split_clause,[],[f2431,f1098,f2016]) ).
fof(f2431,plain,
( e2 != sF28
| ~ spl51_147 ),
inference(forward_demodulation,[],[f1761,f2399]) ).
fof(f1761,plain,
sF47 != sF28,
inference(backward_demodulation,[],[f1714,f364]) ).
fof(f1714,plain,
op(e2,e2) != sF47,
inference(backward_demodulation,[],[f102,f404]) ).
fof(f102,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2407,plain,
( ~ spl51_203
| ~ spl51_27 ),
inference(avatar_split_clause,[],[f2406,f530,f1426]) ).
fof(f1426,plain,
( spl51_203
<=> e4 = sF39 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_203])]) ).
fof(f2406,plain,
( e4 != sF39
| ~ spl51_27 ),
inference(backward_demodulation,[],[f1286,f532]) ).
fof(f1286,plain,
op(e0,e4) != sF39,
inference(forward_demodulation,[],[f87,f387]) ).
fof(f87,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2404,plain,
( ~ spl51_147
| ~ spl51_149 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| ~ spl51_147
| ~ spl51_149 ),
inference(subsumption_resolution,[],[f2402,f159]) ).
fof(f2402,plain,
( e2 = e4
| ~ spl51_147
| ~ spl51_149 ),
inference(forward_demodulation,[],[f1109,f1100]) ).
fof(f1109,plain,
( e4 = op(e0,e2)
| ~ spl51_149 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1107,plain,
( spl51_149
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_149])]) ).
fof(f2400,plain,
( ~ spl51_239
| ~ spl51_147 ),
inference(avatar_split_clause,[],[f2398,f1098,f1636]) ).
fof(f1636,plain,
( spl51_239
<=> e2 = sF42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_239])]) ).
fof(f2398,plain,
( e2 != sF42
| ~ spl51_147 ),
inference(backward_demodulation,[],[f1978,f1100]) ).
fof(f1978,plain,
op(e0,e2) != sF42,
inference(forward_demodulation,[],[f149,f394]) ).
fof(f394,plain,
op(e1,e2) = sF42,
introduced(function_definition,[]) ).
fof(f149,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2379,plain,
( ~ spl51_45
| ~ spl51_47 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2378,plain,
( $false
| ~ spl51_45
| ~ spl51_47 ),
inference(subsumption_resolution,[],[f2377,f160]) ).
fof(f2377,plain,
( e1 = e2
| ~ spl51_45
| ~ spl51_47 ),
inference(backward_demodulation,[],[f613,f621]) ).
fof(f621,plain,
( e1 = op(e1,e4)
| ~ spl51_47 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f619,plain,
( spl51_47
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_47])]) ).
fof(f2373,plain,
( ~ spl51_249
| ~ spl51_82 ),
inference(avatar_split_clause,[],[f2372,f782,f1703]) ).
fof(f782,plain,
( spl51_82
<=> e4 = sF34 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_82])]) ).
fof(f2372,plain,
( e4 != sF50
| ~ spl51_82 ),
inference(forward_demodulation,[],[f1779,f784]) ).
fof(f784,plain,
( e4 = sF34
| ~ spl51_82 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1779,plain,
sF50 != sF34,
inference(backward_demodulation,[],[f1697,f376]) ).
fof(f376,plain,
op(e4,e3) = sF34,
introduced(function_definition,[]) ).
fof(f1697,plain,
op(e4,e3) != sF50,
inference(forward_demodulation,[],[f76,f411]) ).
fof(f76,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2358,plain,
( ~ spl51_97
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f2354,f435,f849]) ).
fof(f435,plain,
( spl51_5
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f2354,plain,
( e1 != sF43
| ~ spl51_5 ),
inference(backward_demodulation,[],[f2021,f2353]) ).
fof(f2353,plain,
( e1 = sF29
| ~ spl51_5 ),
inference(forward_demodulation,[],[f365,f437]) ).
fof(f437,plain,
( e1 = op(e2,e0)
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f2021,plain,
sF29 != sF43,
inference(backward_demodulation,[],[f911,f365]) ).
fof(f911,plain,
op(e2,e0) != sF43,
inference(forward_demodulation,[],[f116,f396]) ).
fof(f396,plain,
op(e1,e0) = sF43,
introduced(function_definition,[]) ).
fof(f116,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2328,plain,
( ~ spl51_58
| spl51_169 ),
inference(avatar_contradiction_clause,[],[f2327]) ).
fof(f2327,plain,
( $false
| ~ spl51_58
| spl51_169 ),
inference(subsumption_resolution,[],[f2326,f1229]) ).
fof(f1229,plain,
( e2 != sF35
| spl51_169 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f2326,plain,
( e2 = sF35
| ~ spl51_58 ),
inference(backward_demodulation,[],[f378,f670]) ).
fof(f670,plain,
( e2 = op(e1,e1)
| ~ spl51_58 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl51_58
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_58])]) ).
fof(f2322,plain,
( ~ spl51_23
| ~ spl51_123 ),
inference(avatar_contradiction_clause,[],[f2321]) ).
fof(f2321,plain,
( $false
| ~ spl51_23
| ~ spl51_123 ),
inference(subsumption_resolution,[],[f2320,f163]) ).
fof(f2320,plain,
( e1 = e4
| ~ spl51_23
| ~ spl51_123 ),
inference(forward_demodulation,[],[f982,f515]) ).
fof(f982,plain,
( e4 = op(e4,e2)
| ~ spl51_123 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f980,plain,
( spl51_123
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_123])]) ).
fof(f2301,plain,
( ~ spl51_2
| ~ spl51_3 ),
inference(avatar_contradiction_clause,[],[f2300]) ).
fof(f2300,plain,
( $false
| ~ spl51_2
| ~ spl51_3 ),
inference(subsumption_resolution,[],[f2299,f159]) ).
fof(f2299,plain,
( e2 = e4
| ~ spl51_2
| ~ spl51_3 ),
inference(forward_demodulation,[],[f429,f425]) ).
fof(f429,plain,
( e4 = op(e2,e0)
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl51_3
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f2280,plain,
( ~ spl51_45
| ~ spl51_46 ),
inference(avatar_contradiction_clause,[],[f2279]) ).
fof(f2279,plain,
( $false
| ~ spl51_45
| ~ spl51_46 ),
inference(subsumption_resolution,[],[f2278,f161]) ).
fof(f2278,plain,
( e0 = e2
| ~ spl51_45
| ~ spl51_46 ),
inference(forward_demodulation,[],[f613,f617]) ).
fof(f617,plain,
( e0 = op(e1,e4)
| ~ spl51_46 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl51_46
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_46])]) ).
fof(f2257,plain,
( ~ spl51_97
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2256,f1266,f849]) ).
fof(f2256,plain,
( e1 != sF43
| ~ spl51_175 ),
inference(backward_demodulation,[],[f564,f1268]) ).
fof(f1268,plain,
( e1 = op(e1,e3)
| ~ spl51_175 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f564,plain,
op(e1,e3) != sF43,
inference(backward_demodulation,[],[f73,f396]) ).
fof(f73,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2249,plain,
( ~ spl51_125
| ~ spl51_39 ),
inference(avatar_split_clause,[],[f2238,f585,f989]) ).
fof(f989,plain,
( spl51_125
<=> e3 = sF45 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_125])]) ).
fof(f2238,plain,
( e3 != sF45
| ~ spl51_39 ),
inference(backward_demodulation,[],[f1315,f587]) ).
fof(f1315,plain,
sF45 != sF27,
inference(forward_demodulation,[],[f1314,f362]) ).
fof(f362,plain,
op(e3,e0) = sF27,
introduced(function_definition,[]) ).
fof(f1314,plain,
op(e3,e0) != sF45,
inference(forward_demodulation,[],[f66,f400]) ).
fof(f400,plain,
op(e3,e2) = sF45,
introduced(function_definition,[]) ).
fof(f66,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2230,plain,
( ~ spl51_72
| ~ spl51_119 ),
inference(avatar_split_clause,[],[f2226,f962,f730]) ).
fof(f962,plain,
( spl51_119
<=> e2 = sF40 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_119])]) ).
fof(f2226,plain,
( e2 != sF29
| ~ spl51_119 ),
inference(backward_demodulation,[],[f2022,f964]) ).
fof(f964,plain,
( e2 = sF40
| ~ spl51_119 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f2022,plain,
sF40 != sF29,
inference(backward_demodulation,[],[f1439,f365]) ).
fof(f1439,plain,
op(e2,e0) != sF40,
inference(forward_demodulation,[],[f70,f389]) ).
fof(f389,plain,
op(e2,e3) = sF40,
introduced(function_definition,[]) ).
fof(f70,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2205,plain,
~ spl51_224,
inference(avatar_contradiction_clause,[],[f2204]) ).
fof(f2204,plain,
( $false
| ~ spl51_224 ),
inference(subsumption_resolution,[],[f2203,f164]) ).
fof(f2203,plain,
( e3 = e4
| ~ spl51_224 ),
inference(forward_demodulation,[],[f2178,f256]) ).
fof(f2178,plain,
( e4 = op(e2,e4)
| ~ spl51_224 ),
inference(backward_demodulation,[],[f172,f1549]) ).
fof(f1549,plain,
( e2 = unit
| ~ spl51_224 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1547,plain,
( spl51_224
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl51_224])]) ).
fof(f2154,plain,
( spl51_82
| ~ spl51_121 ),
inference(avatar_split_clause,[],[f2153,f971,f782]) ).
fof(f971,plain,
( spl51_121
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_121])]) ).
fof(f2153,plain,
( e4 = sF34
| ~ spl51_121 ),
inference(backward_demodulation,[],[f376,f973]) ).
fof(f973,plain,
( e4 = op(e4,e3)
| ~ spl51_121 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f2147,plain,
( ~ spl51_101
| ~ spl51_23 ),
inference(avatar_split_clause,[],[f2140,f513,f868]) ).
fof(f2140,plain,
( e1 != sF24
| ~ spl51_23 ),
inference(backward_demodulation,[],[f2043,f2132]) ).
fof(f2043,plain,
sF25 != sF24,
inference(backward_demodulation,[],[f1191,f358]) ).
fof(f1191,plain,
op(e4,e4) != sF25,
inference(forward_demodulation,[],[f85,f359]) ).
fof(f85,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2146,plain,
( spl51_91
| ~ spl51_23 ),
inference(avatar_split_clause,[],[f2136,f513,f822]) ).
fof(f2136,plain,
( e0 = op(e1,e1)
| ~ spl51_23 ),
inference(backward_demodulation,[],[f1091,f2132]) ).
fof(f1091,plain,
e0 = op(sF25,sF25),
inference(backward_demodulation,[],[f257,f359]) ).
fof(f257,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2141,plain,
( ~ spl51_22
| ~ spl51_23 ),
inference(avatar_split_clause,[],[f2138,f513,f509]) ).
fof(f2138,plain,
( e1 != op(e4,e3)
| ~ spl51_23 ),
inference(backward_demodulation,[],[f1717,f2132]) ).
fof(f1717,plain,
op(e4,e3) != sF25,
inference(forward_demodulation,[],[f155,f359]) ).
fof(f155,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2131,plain,
( spl51_39
| ~ spl51_11 ),
inference(avatar_split_clause,[],[f2128,f461,f585]) ).
fof(f2128,plain,
( e3 = sF27
| ~ spl51_11 ),
inference(backward_demodulation,[],[f362,f463]) ).
fof(f2103,plain,
( spl51_203
| ~ spl51_43 ),
inference(avatar_split_clause,[],[f2102,f603,f1426]) ).
fof(f603,plain,
( spl51_43
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_43])]) ).
fof(f2102,plain,
( e4 = sF39
| ~ spl51_43 ),
inference(backward_demodulation,[],[f387,f605]) ).
fof(f605,plain,
( e4 = op(e1,e4)
| ~ spl51_43 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f2086,plain,
( ~ spl51_120
| ~ spl51_63 ),
inference(avatar_split_clause,[],[f2077,f691,f967]) ).
fof(f967,plain,
( spl51_120
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_120])]) ).
fof(f2077,plain,
( e3 != op(e4,e3)
| ~ spl51_63 ),
inference(backward_demodulation,[],[f1579,f2074]) ).
fof(f2074,plain,
( e3 = sF32
| ~ spl51_63 ),
inference(backward_demodulation,[],[f372,f693]) ).
fof(f1579,plain,
op(e4,e3) != sF32,
inference(backward_demodulation,[],[f129,f372]) ).
fof(f129,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2063,plain,
( ~ spl51_38
| spl51_293 ),
inference(avatar_split_clause,[],[f292,f2060,f579]) ).
fof(f579,plain,
( spl51_38
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_38])]) ).
fof(f292,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2031,plain,
( spl51_291
| ~ spl51_137 ),
inference(avatar_split_clause,[],[f2026,f1044,f2028]) ).
fof(f1044,plain,
( spl51_137
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_137])]) ).
fof(f2026,plain,
( ~ sP1
| e1 = op(sF39,e4) ),
inference(forward_demodulation,[],[f324,f387]) ).
fof(f324,plain,
( ~ sP1
| e1 = op(op(e1,e4),e4) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2007,plain,
( spl51_3
| spl51_84
| spl51_129
| spl51_266 ),
inference(avatar_split_clause,[],[f2006,f1835,f1010,f791,f427]) ).
fof(f2006,plain,
( e4 = sF40
| e4 = sF46
| e4 = sF28
| e4 = op(e2,e0) ),
inference(subsumption_resolution,[],[f2005,f164]) ).
fof(f2005,plain,
( e4 = op(e2,e0)
| e4 = sF46
| e4 = sF40
| e4 = sF28
| e3 = e4 ),
inference(forward_demodulation,[],[f2004,f256]) ).
fof(f2004,plain,
( e4 = sF28
| e4 = op(e2,e0)
| e4 = sF46
| e4 = sF40
| e4 = op(e2,e4) ),
inference(forward_demodulation,[],[f2003,f402]) ).
fof(f2003,plain,
( e4 = op(e2,e0)
| e4 = sF40
| e4 = sF28
| e4 = op(e2,e1)
| e4 = op(e2,e4) ),
inference(forward_demodulation,[],[f2002,f364]) ).
fof(f2002,plain,
( e4 = op(e2,e2)
| e4 = op(e2,e0)
| e4 = sF40
| e4 = op(e2,e1)
| e4 = op(e2,e4) ),
inference(forward_demodulation,[],[f245,f389]) ).
fof(f245,plain,
( e4 = op(e2,e3)
| e4 = op(e2,e0)
| e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e4)
| e1 = op(e0,e3) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e4)
| e1 = op(e2,e3) )
& ( e1 = op(e3,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e4 = op(e4,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e2,e2)
| e4 = op(e3,e2) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e4) )
& ( e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| e3 = op(e3,e1)
| e3 = op(e4,e1) )
& ( e0 = op(e4,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3) )
& ( e0 = op(e1,e4)
| e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4) )
& ( e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e4,e3)
| e2 = op(e3,e3) )
& ( e4 = op(e2,e2)
| e4 = op(e2,e4)
| e4 = op(e2,e0)
| e4 = op(e2,e3)
| e4 = op(e2,e1) )
& ( e1 = op(e4,e0)
| e1 = op(e4,e1)
| e1 = op(e4,e2)
| e1 = op(e4,e4)
| e1 = op(e4,e3) )
& ( e4 = op(e0,e4)
| op(e0,e0) = e4
| e4 = op(e0,e3)
| e4 = op(e0,e1)
| e4 = op(e0,e2) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e4)
| e2 = op(e2,e1)
| e2 = op(e2,e3) )
& ( e1 = op(e2,e0)
| e1 = op(e3,e0)
| op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e4,e0) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e0)
| e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e1) )
& ( e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e4)
| e2 = op(e4,e0)
| e2 = op(e4,e1) )
& ( e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e4) )
& ( e1 = op(e1,e3)
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3) )
& ( e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e4) )
& ( e0 = op(e0,e0)
| e0 = op(e0,e3)
| e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e4) )
& ( e3 = op(e0,e2)
| op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e4) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e3) )
& ( e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e4)
| e4 = op(e1,e0)
| e4 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e3 = op(e0,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e4,e4)
| e3 = op(e3,e4) )
& ( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e4,e2) )
& ( e4 = op(e1,e1)
| e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) )
& ( e0 = op(e4,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e1)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e0)
| e0 = op(e4,e2)
| e0 = op(e4,e1) )
& ( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e2,e2)
| e2 = op(e4,e2)
| e2 = op(e1,e2)
| e2 = op(e3,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e4)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| e2 = op(e1,e2) )
& ( e2 = op(e0,e4)
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| op(e0,e0) = e2
| e2 = op(e0,e3) )
& ( e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e4) )
& ( e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) )
& ( e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e4)
| e1 = op(e1,e1)
| e1 = op(e1,e2) )
& ( e4 = op(e0,e3)
| e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3) )
& ( e3 = op(e4,e1)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e4)
| e3 = op(e4,e2) )
& ( e1 = op(e4,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1) )
& ( e4 = op(e0,e4)
| e4 = op(e1,e4)
| e4 = op(e2,e4)
| e4 = op(e4,e4)
| e4 = op(e3,e4) )
& ( op(e0,e0) = e2
| e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e4,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e4)
| e4 = op(e3,e2)
| e4 = op(e3,e0) )
& ( e1 = op(e2,e4)
| e1 = op(e0,e4)
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4) )
& ( e2 = op(e2,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e3 = op(e4,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3 )
& ( op(e0,e0) = e4
| e4 = op(e2,e0)
| e4 = op(e3,e0)
| e4 = op(e4,e0)
| e4 = op(e1,e0) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e0) )
& ( e0 = op(e0,e0)
| e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1985,plain,
( ~ spl51_186
| spl51_259 ),
inference(avatar_split_clause,[],[f412,f1771,f1331]) ).
fof(f1331,plain,
( spl51_186
<=> e3 = sF35 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_186])]) ).
fof(f412,plain,
( e1 = sF50
| e3 != sF35 ),
inference(definition_folding,[],[f330,f411,f378]) ).
fof(f330,plain,
( e3 != op(e1,e1)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( op(e0,e4) != op(e4,e0)
& e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1)
& e1 != op(op(e0,e1),e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( op(e1,e3) != op(e3,e1)
& e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
( ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( op(e0,e3) != op(e3,e0)
& e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e2 != op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2)
& e2 != op(op(e4,e2),e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f9,plain,
( ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ( e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3) )
| ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ( e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2)
& e2 != op(op(e4,e2),e4) )
| ( e2 != op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2) )
| ( op(e0,e3) != op(e3,e0)
& e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( op(e1,e3) != op(e3,e1)
& e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3) )
| ( op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1)
& e1 != op(op(e0,e1),e0) )
| ( op(e0,e4) != op(e4,e0)
& e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) )
| ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ( op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4) )
| ( op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4) ) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ( e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3) )
| ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ( e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2)
& e2 != op(op(e4,e2),e4) )
| ( e2 != op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2) )
| ( op(e0,e3) != op(e3,e0)
& e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( op(e1,e3) != op(e3,e1)
& e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3) )
| ( op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1)
& e1 != op(op(e0,e1),e0) )
| ( op(e0,e4) != op(e4,e0)
& e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) )
| ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ( op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4) )
| ( op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4) ) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ( e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3) )
| ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ( e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2)
& e2 != op(op(e4,e2),e4) )
| ( e2 != op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2) )
| ( op(e0,e3) != op(e3,e0)
& e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( op(e1,e3) != op(e3,e1)
& e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3) )
| ( op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1)
& e1 != op(op(e0,e1),e0) )
| ( op(e0,e4) != op(e4,e0)
& e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) )
| ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ( op(e1,e4) != op(e4,e1)
& e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4) )
| ( op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4) ) )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e4,e4)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1980,plain,
~ spl51_163,
inference(avatar_split_clause,[],[f162,f1185]) ).
fof(f1185,plain,
( spl51_163
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_163])]) ).
fof(f162,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1973,plain,
( ~ spl51_140
| ~ spl51_286 ),
inference(avatar_split_clause,[],[f1968,f1970,f1056]) ).
fof(f1056,plain,
( spl51_140
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_140])]) ).
fof(f1968,plain,
( e3 != op(sF32,e0)
| ~ sP18 ),
inference(forward_demodulation,[],[f273,f372]) ).
fof(f273,plain,
( e3 != op(op(e0,e3),e0)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( op(e0,e3) != op(e3,e0)
& e0 = op(op(e0,e3),e3)
& e3 != op(op(e0,e3),e0) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1961,plain,
( spl51_5
| spl51_241
| spl51_285
| spl51_79
| spl51_80 ),
inference(avatar_split_clause,[],[f1956,f773,f768,f1958,f1647,f435]) ).
fof(f773,plain,
( spl51_80
<=> e1 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_80])]) ).
fof(f1956,plain,
( e1 = sF28
| e1 = op(e2,e4)
| e1 = sF40
| e1 = sF46
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f1955,f364]) ).
fof(f1955,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e2)
| e1 = sF40
| e1 = sF46
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f1954,f402]) ).
fof(f1954,plain,
( e1 = op(e2,e1)
| e1 = op(e2,e0)
| e1 = op(e2,e2)
| e1 = sF40
| e1 = op(e2,e4) ),
inference(forward_demodulation,[],[f253,f389]) ).
fof(f253,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1946,plain,
( ~ spl51_42
| ~ spl51_283 ),
inference(avatar_split_clause,[],[f1941,f1943,f598]) ).
fof(f598,plain,
( spl51_42
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_42])]) ).
fof(f1941,plain,
( e4 != op(sF44,e0)
| ~ sP16 ),
inference(forward_demodulation,[],[f281,f398]) ).
fof(f281,plain,
( ~ sP16
| e4 != op(op(e0,e4),e0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e4 != op(op(e0,e4),e0)
& op(e0,e4) != op(e4,e0)
& e0 = op(op(e0,e4),e4) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1940,plain,
( spl51_239
| spl51_169
| spl51_248
| spl51_45
| spl51_75 ),
inference(avatar_split_clause,[],[f1939,f744,f611,f1693,f1227,f1636]) ).
fof(f1939,plain,
( e2 = sF43
| e2 = op(e1,e4)
| e2 = sF50
| e2 = sF35
| e2 = sF42 ),
inference(forward_demodulation,[],[f1938,f394]) ).
fof(f1938,plain,
( e2 = sF43
| e2 = op(e1,e4)
| e2 = sF50
| e2 = sF35
| e2 = op(e1,e2) ),
inference(forward_demodulation,[],[f1937,f378]) ).
fof(f1937,plain,
( e2 = op(e1,e4)
| e2 = sF50
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = sF43 ),
inference(forward_demodulation,[],[f1936,f396]) ).
fof(f1936,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e4)
| e2 = sF50
| e2 = op(e1,e2) ),
inference(forward_demodulation,[],[f222,f411]) ).
fof(f222,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0)
| e2 = op(e1,e4)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1933,plain,
( ~ spl51_282
| ~ spl51_138 ),
inference(avatar_split_clause,[],[f1928,f1048,f1930]) ).
fof(f1048,plain,
( spl51_138
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_138])]) ).
fof(f1928,plain,
( ~ sP9
| sF44 != sF36 ),
inference(forward_demodulation,[],[f1927,f398]) ).
fof(f1927,plain,
( op(e0,e4) != sF36
| ~ sP9 ),
inference(forward_demodulation,[],[f302,f381]) ).
fof(f302,plain,
( ~ sP9
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( op(e0,e4) != op(e4,e0)
& e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1799,plain,
( ~ spl51_260
| spl51_261 ),
inference(avatar_split_clause,[],[f382,f1796,f1792]) ).
fof(f382,plain,
( e4 = sF36
| e0 != sF24 ),
inference(definition_folding,[],[f346,f381,f358]) ).
fof(f346,plain,
( e0 != op(e4,e4)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f1784,plain,
( spl51_167
| spl51_9
| spl51_151
| spl51_120 ),
inference(avatar_split_clause,[],[f1783,f967,f1118,f453,f1216]) ).
fof(f1783,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| e3 = sF25 ),
inference(forward_demodulation,[],[f1782,f359]) ).
fof(f1782,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e3 = op(e4,e1) ),
inference(subsumption_resolution,[],[f216,f954]) ).
fof(f954,plain,
e3 != op(e4,e4),
inference(backward_demodulation,[],[f144,f256]) ).
fof(f144,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e4)
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1718,plain,
~ spl51_141,
inference(avatar_split_clause,[],[f413,f1060]) ).
fof(f1060,plain,
( spl51_141
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_141])]) ).
fof(f413,plain,
~ sP13,
inference(trivial_inequality_removal,[],[f290]) ).
fof(f290,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( op(e1,e1) != op(e1,e1)
& e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1716,plain,
~ spl51_210,
inference(avatar_split_clause,[],[f166,f1467]) ).
fof(f166,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1710,plain,
( spl51_233
| spl51_249
| spl51_43
| spl51_212
| spl51_250 ),
inference(avatar_split_clause,[],[f1701,f1707,f1477,f603,f1703,f1606]) ).
fof(f1701,plain,
( e4 = sF43
| e4 = sF35
| e4 = op(e1,e4)
| e4 = sF50
| e4 = sF42 ),
inference(forward_demodulation,[],[f1700,f411]) ).
fof(f1700,plain,
( e4 = op(e1,e4)
| e4 = sF42
| e4 = op(e1,e3)
| e4 = sF43
| e4 = sF35 ),
inference(forward_demodulation,[],[f1699,f394]) ).
fof(f1699,plain,
( e4 = op(e1,e2)
| e4 = sF43
| e4 = op(e1,e3)
| e4 = op(e1,e4)
| e4 = sF35 ),
inference(forward_demodulation,[],[f1698,f396]) ).
fof(f1698,plain,
( e4 = op(e1,e0)
| e4 = op(e1,e4)
| e4 = op(e1,e2)
| e4 = op(e1,e3)
| e4 = sF35 ),
inference(forward_demodulation,[],[f232,f378]) ).
fof(f232,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1696,plain,
( spl51_15
| spl51_247
| spl51_119
| spl51_248
| spl51_126 ),
inference(avatar_split_clause,[],[f1687,f993,f1693,f962,f1689,f479]) ).
fof(f993,plain,
( spl51_126
<=> e2 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_126])]) ).
fof(f1687,plain,
( e2 = sF26
| e2 = sF50
| e2 = sF40
| e2 = sF32
| e2 = op(e4,e3) ),
inference(forward_demodulation,[],[f1686,f372]) ).
fof(f1686,plain,
( e2 = sF50
| e2 = sF40
| e2 = sF26
| e2 = op(e0,e3)
| e2 = op(e4,e3) ),
inference(forward_demodulation,[],[f1685,f411]) ).
fof(f1685,plain,
( e2 = op(e1,e3)
| e2 = sF40
| e2 = op(e0,e3)
| e2 = op(e4,e3)
| e2 = sF26 ),
inference(forward_demodulation,[],[f1684,f361]) ).
fof(f361,plain,
op(e3,e3) = sF26,
introduced(function_definition,[]) ).
fof(f1684,plain,
( e2 = op(e3,e3)
| e2 = sF40
| e2 = op(e0,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3) ),
inference(forward_demodulation,[],[f246,f389]) ).
fof(f246,plain,
( e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e4,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1675,plain,
~ spl51_205,
inference(avatar_split_clause,[],[f1674,f1441]) ).
fof(f1441,plain,
( spl51_205
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_205])]) ).
fof(f1674,plain,
e3 != op(e2,e2),
inference(forward_demodulation,[],[f107,f256]) ).
fof(f107,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1673,plain,
( spl51_245
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f1668,f1036,f1670]) ).
fof(f1036,plain,
( spl51_135
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_135])]) ).
fof(f1668,plain,
( ~ sP15
| e1 = op(sF42,e2) ),
inference(forward_demodulation,[],[f282,f394]) ).
fof(f282,plain,
( ~ sP15
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( op(e1,e2) != op(e2,e1)
& e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1609,plain,
( spl51_123
| spl51_206
| spl51_233
| spl51_149
| spl51_160 ),
inference(avatar_split_clause,[],[f1604,f1169,f1107,f1606,f1445,f980]) ).
fof(f1604,plain,
( e4 = sF45
| e4 = op(e0,e2)
| e4 = sF42
| e4 = op(e2,e2)
| e4 = op(e4,e2) ),
inference(forward_demodulation,[],[f1603,f394]) ).
fof(f1603,plain,
( e4 = op(e0,e2)
| e4 = op(e4,e2)
| e4 = sF45
| e4 = op(e2,e2)
| e4 = op(e1,e2) ),
inference(forward_demodulation,[],[f251,f400]) ).
fof(f251,plain,
( e4 = op(e3,e2)
| e4 = op(e1,e2)
| e4 = op(e2,e2)
| e4 = op(e0,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1566,plain,
( spl51_224
| spl51_225
| spl51_226
| spl51_227
| spl51_228 ),
inference(avatar_split_clause,[],[f170,f1563,f1559,f1555,f1551,f1547]) ).
fof(f170,plain,
( e0 = unit
| e3 = unit
| e4 = unit
| e1 = unit
| e2 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1486,plain,
~ spl51_44,
inference(avatar_split_clause,[],[f1485,f607]) ).
fof(f607,plain,
( spl51_44
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_44])]) ).
fof(f1485,plain,
e3 != op(e1,e4),
inference(forward_demodulation,[],[f123,f256]) ).
fof(f123,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1452,plain,
( spl51_142
| spl51_205
| spl51_199
| spl51_206
| spl51_207 ),
inference(avatar_split_clause,[],[f200,f1449,f1445,f1404,f1441,f1070]) ).
fof(f200,plain,
( e2 = op(e2,e2)
| e4 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1)
| e4 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e3,e3)
| e4 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e2 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e0 = op(e2,e2)
| e4 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e1 = op(e2,e4)
| e0 = op(e2,e4)
| e2 = op(e2,e4)
| e4 = op(e2,e4)
| e3 = op(e2,e4) )
& ( e4 = op(e0,e4)
| e2 = op(e0,e4)
| e0 = op(e0,e4)
| e3 = op(e0,e4)
| e1 = op(e0,e4) )
& ( e4 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| e0 = op(e4,e3)
| e3 = op(e4,e3) )
& ( e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2)
| e4 = op(e4,e2)
| e3 = op(e4,e2) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1) )
& ( e2 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e2 = op(e2,e1)
| e4 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e0,e3)
| e4 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e0 = op(e4,e4)
| e1 = op(e4,e4)
| e2 = op(e4,e4) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e0 = op(e0,e2)
| e1 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e4 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2) )
& ( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e4 = op(e1,e4)
| e2 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e0 = op(e4,e0)
| e2 = op(e4,e0)
| e3 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0) )
& ( e2 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e3 = op(e1,e2)
| e4 = op(e1,e2) )
& ( e0 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e1 = op(e3,e4)
| e4 = op(e3,e4) )
& ( e3 = op(e4,e1)
| e0 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1) )
& ( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e1 = op(e2,e3)
| e4 = op(e2,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1388,plain,
( spl51_20
| spl51_13
| spl51_31
| spl51_98
| spl51_133
| spl51_139
| ~ spl51_196
| spl51_42
| spl51_134
| spl51_64
| spl51_137
| spl51_132
| spl51_38
| spl51_135
| spl51_141
| spl51_109
| spl51_138
| spl51_33
| spl51_76
| spl51_102
| spl51_7
| spl51_85
| spl51_108
| spl51_140 ),
inference(avatar_split_clause,[],[f1383,f1056,f907,f796,f444,f874,f752,f556,f1048,f913,f1060,f1036,f579,f1024,f1044,f696,f1032,f598,f1385,f1052,f1028,f855,f547,f470,f500]) ).
fof(f500,plain,
( spl51_20
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_20])]) ).
fof(f470,plain,
( spl51_13
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_13])]) ).
fof(f547,plain,
( spl51_31
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_31])]) ).
fof(f855,plain,
( spl51_98
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_98])]) ).
fof(f1028,plain,
( spl51_133
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_133])]) ).
fof(f1052,plain,
( spl51_139
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_139])]) ).
fof(f1032,plain,
( spl51_134
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_134])]) ).
fof(f696,plain,
( spl51_64
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_64])]) ).
fof(f1024,plain,
( spl51_132
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_132])]) ).
fof(f913,plain,
( spl51_109
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_109])]) ).
fof(f556,plain,
( spl51_33
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_33])]) ).
fof(f752,plain,
( spl51_76
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_76])]) ).
fof(f874,plain,
( spl51_102
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_102])]) ).
fof(f444,plain,
( spl51_7
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f796,plain,
( spl51_85
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_85])]) ).
fof(f907,plain,
( spl51_108
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_108])]) ).
fof(f1383,plain,
( sP18
| sP5
| sP14
| sP10
| sP4
| sP11
| sP6
| sP9
| sP17
| sP13
| sP15
| sP12
| sP8
| sP1
| sP20
| sP22
| sP16
| sF32 != sF27
| sP23
| sP7
| sP0
| sP21
| sP2
| sP3 ),
inference(subsumption_resolution,[],[f373,f417]) ).
fof(f417,plain,
~ sP19,
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
( ~ sP19
| op(e2,e2) != op(e2,e2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e2 != op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 = op(op(e2,e2),e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f373,plain,
( sF32 != sF27
| sP12
| sP7
| sP22
| sP11
| sP5
| sP14
| sP13
| sP18
| sP10
| sP21
| sP16
| sP3
| sP0
| sP17
| sP9
| sP1
| sP8
| sP20
| sP4
| sP23
| sP15
| sP19
| sP2
| sP6 ),
inference(definition_folding,[],[f351,f362,f372]) ).
fof(f351,plain,
( op(e0,e3) != op(e3,e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f1382,plain,
( ~ spl51_132
| spl51_195 ),
inference(avatar_split_clause,[],[f305,f1379,f1024]) ).
fof(f305,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1352,plain,
( spl51_189
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f1347,f556,f1349]) ).
fof(f1347,plain,
( ~ sP6
| e2 = op(sF40,e3) ),
inference(forward_demodulation,[],[f310,f389]) ).
fof(f310,plain,
( ~ sP6
| e2 = op(op(e2,e3),e3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1345,plain,
~ spl51_133,
inference(avatar_split_clause,[],[f414,f1028]) ).
fof(f414,plain,
~ sP7,
inference(trivial_inequality_removal,[],[f306]) ).
fof(f306,plain,
( ~ sP7
| op(e4,e4) != op(e4,e4) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1338,plain,
( spl51_173
| spl51_44
| spl51_185
| spl51_186
| spl51_187 ),
inference(avatar_split_clause,[],[f1325,f1335,f1331,f1327,f607,f1256]) ).
fof(f1325,plain,
( e3 = sF43
| e3 = sF35
| e3 = sF42
| e3 = op(e1,e4)
| e3 = sF50 ),
inference(forward_demodulation,[],[f1324,f378]) ).
fof(f1324,plain,
( e3 = op(e1,e4)
| e3 = sF43
| e3 = op(e1,e1)
| e3 = sF42
| e3 = sF50 ),
inference(forward_demodulation,[],[f1323,f411]) ).
fof(f1323,plain,
( e3 = op(e1,e3)
| e3 = sF43
| e3 = sF42
| e3 = op(e1,e1)
| e3 = op(e1,e4) ),
inference(forward_demodulation,[],[f1322,f396]) ).
fof(f1322,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = sF42
| e3 = op(e1,e1) ),
inference(forward_demodulation,[],[f231,f394]) ).
fof(f231,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1321,plain,
( spl51_184
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1316,f752,f1318]) ).
fof(f1316,plain,
( ~ sP11
| e1 = op(sF50,e3) ),
inference(forward_demodulation,[],[f294,f411]) ).
fof(f294,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( op(e1,e3) != op(e3,e1)
& e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1306,plain,
~ spl51_139,
inference(avatar_split_clause,[],[f415,f1052]) ).
fof(f415,plain,
~ sP23,
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( ~ sP23
| op(e0,e0) != op(e0,e0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1292,plain,
( spl51_180
| ~ spl51_102 ),
inference(avatar_split_clause,[],[f1287,f874,f1289]) ).
fof(f1287,plain,
( ~ sP4
| e2 = op(sF46,e1) ),
inference(forward_demodulation,[],[f316,f402]) ).
fof(f316,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1285,plain,
( spl51_175
| spl51_176
| spl51_177
| spl51_178
| spl51_179 ),
inference(avatar_split_clause,[],[f201,f1282,f1278,f1274,f1270,f1266]) ).
fof(f201,plain,
( e0 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1240,plain,
( ~ spl51_64
| ~ spl51_171 ),
inference(avatar_split_clause,[],[f1235,f1237,f696]) ).
fof(f1235,plain,
( e2 != op(sF25,e4)
| ~ sP20 ),
inference(forward_demodulation,[],[f267,f359]) ).
fof(f267,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2)
& e2 != op(op(e4,e2),e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1212,plain,
~ spl51_134,
inference(avatar_split_clause,[],[f416,f1032]) ).
fof(f416,plain,
~ sP22,
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3)
& e3 != op(op(e3,e3),e3) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1188,plain,
( spl51_161
| spl51_162
| spl51_46
| spl51_163
| spl51_51 ),
inference(avatar_split_clause,[],[f1175,f636,f1185,f615,f1181,f1177]) ).
fof(f1175,plain,
( e0 = op(e3,e4)
| e0 = e3
| e0 = op(e1,e4)
| e0 = op(e4,e4)
| e0 = sF44 ),
inference(forward_demodulation,[],[f1174,f256]) ).
fof(f1174,plain,
( e0 = op(e2,e4)
| e0 = op(e4,e4)
| e0 = sF44
| e0 = op(e3,e4)
| e0 = op(e1,e4) ),
inference(forward_demodulation,[],[f247,f398]) ).
fof(f247,plain,
( e0 = op(e3,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| e0 = op(e4,e4)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1173,plain,
spl51_23,
inference(avatar_split_clause,[],[f255,f513]) ).
fof(f255,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f1172,plain,
( ~ spl51_160
| ~ spl51_13 ),
inference(avatar_split_clause,[],[f1167,f470,f1169]) ).
fof(f1167,plain,
( ~ sP2
| e4 != sF45 ),
inference(forward_demodulation,[],[f1166,f400]) ).
fof(f1166,plain,
( e4 != op(e3,e2)
| ~ sP2 ),
inference(forward_demodulation,[],[f322,f256]) ).
fof(f322,plain,
( e4 != op(op(e2,e4),e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( op(e2,e4) != op(e4,e2)
& e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1165,plain,
( ~ spl51_20
| ~ spl51_159 ),
inference(avatar_split_clause,[],[f1160,f1162,f500]) ).
fof(f1160,plain,
( e2 != op(sF45,e3)
| ~ sP3 ),
inference(forward_demodulation,[],[f319,f400]) ).
fof(f319,plain,
( e2 != op(op(e3,e2),e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( op(e2,e3) != op(e3,e2)
& e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1003,plain,
( ~ spl51_7
| ~ spl51_107 ),
inference(avatar_split_clause,[],[f1002,f903,f444]) ).
fof(f1002,plain,
( op(e0,e1) != sF43
| ~ sP10 ),
inference(forward_demodulation,[],[f299,f396]) ).
fof(f299,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1)
& e1 != op(op(e0,e1),e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f996,plain,
( spl51_125
| ~ spl51_126 ),
inference(avatar_split_clause,[],[f401,f993,f989]) ).
fof(f401,plain,
( e2 != sF26
| e3 = sF45 ),
inference(definition_folding,[],[f336,f400,f361]) ).
fof(f336,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f987,plain,
( spl51_122
| spl51_123
| spl51_124
| spl51_53
| spl51_121 ),
inference(avatar_split_clause,[],[f226,f971,f645,f984,f980,f976]) ).
fof(f226,plain,
( e4 = op(e4,e3)
| e4 = op(e4,e0)
| e4 = op(e4,e1)
| e4 = op(e4,e2)
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f920,plain,
( ~ spl51_109
| ~ spl51_110 ),
inference(avatar_split_clause,[],[f278,f917,f913]) ).
fof(f278,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f910,plain,
( ~ spl51_107
| ~ spl51_108 ),
inference(avatar_split_clause,[],[f901,f907,f903]) ).
fof(f901,plain,
( ~ sP5
| op(e0,e1) != sF43 ),
inference(forward_demodulation,[],[f312,f396]) ).
fof(f312,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f882,plain,
( ~ spl51_85
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f285,f551,f796]) ).
fof(f285,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f862,plain,
( ~ spl51_98
| ~ spl51_99 ),
inference(avatar_split_clause,[],[f328,f859,f855]) ).
fof(f328,plain,
( e4 != op(op(e3,e4),e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( op(e3,e4) != op(e4,e3)
& e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f852,plain,
( ~ spl51_96
| spl51_97 ),
inference(avatar_split_clause,[],[f397,f849,f845]) ).
fof(f397,plain,
( e1 = sF43
| e0 != sF35 ),
inference(definition_folding,[],[f338,f378,f396]) ).
fof(f338,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f794,plain,
( spl51_83
| ~ spl51_84 ),
inference(avatar_split_clause,[],[f409,f791,f787]) ).
fof(f409,plain,
( e4 != sF28
| e2 = sF49 ),
inference(definition_folding,[],[f332,f364,f408]) ).
fof(f332,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f776,plain,
( ~ spl51_80
| spl51_59 ),
inference(avatar_split_clause,[],[f403,f672,f773]) ).
fof(f403,plain,
( e2 = sF46
| e1 != sF28 ),
inference(definition_folding,[],[f335,f402,f364]) ).
fof(f335,plain,
( e1 != op(e2,e2)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f771,plain,
( spl51_47
| spl51_50
| spl51_78
| spl51_24
| spl51_79 ),
inference(avatar_split_clause,[],[f762,f768,f517,f764,f632,f619]) ).
fof(f762,plain,
( e1 = op(e2,e4)
| e1 = op(e4,e4)
| e1 = sF44
| e1 = op(e3,e4)
| e1 = op(e1,e4) ),
inference(forward_demodulation,[],[f210,f398]) ).
fof(f210,plain,
( e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e0,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f733,plain,
( ~ spl51_71
| spl51_72 ),
inference(avatar_split_clause,[],[f366,f730,f726]) ).
fof(f366,plain,
( e2 = sF29
| e0 != sF28 ),
inference(definition_folding,[],[f355,f365,f364]) ).
fof(f355,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f679,plain,
( spl51_57
| spl51_58
| spl51_59
| spl51_60
| spl51_14 ),
inference(avatar_split_clause,[],[f662,f475,f676,f672,f668,f664]) ).
fof(f662,plain,
( e2 = op(e4,e1)
| e2 = op(e0,e1)
| e2 = sF46
| e2 = op(e1,e1)
| e2 = op(e3,e1) ),
inference(forward_demodulation,[],[f224,f402]) ).
fof(f224,plain,
( e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f554,plain,
( ~ spl51_31
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f266,f551,f547]) ).
fof(f266,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( op(e0,e2) != op(e2,e0)
& e2 = op(op(e2,e0),e0)
& e0 != op(op(e2,e0),e2) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:17:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (2927)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.47 % (2948)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51 % (2923)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52 % (2930)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (2927)Instruction limit reached!
% 0.18/0.52 % (2927)------------------------------
% 0.18/0.52 % (2927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (2927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (2927)Termination reason: Unknown
% 0.18/0.52 % (2927)Termination phase: Finite model building preprocessing
% 0.18/0.52
% 0.18/0.52 % (2927)Memory used [KB]: 7164
% 0.18/0.52 % (2927)Time elapsed: 0.030 s
% 0.18/0.52 % (2927)Instructions burned: 52 (million)
% 0.18/0.52 % (2927)------------------------------
% 0.18/0.52 % (2927)------------------------------
% 0.18/0.52 % (2921)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52 % (2950)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (2934)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.53 % (2951)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.40/0.53 % (2945)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.53 % (2944)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.53 % (2939)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.53 % (2925)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53 % (2924)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.54 % (2943)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.40/0.54 % (2942)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.54 % (2922)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.54 % (2937)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.54 % (2936)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.40/0.54 % (2928)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.55 % (2926)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.54/0.55 % (2932)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.55 % (2933)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.54/0.55 % (2931)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.55 % (2929)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.55 % (2929)Instruction limit reached!
% 1.54/0.55 % (2929)------------------------------
% 1.54/0.55 % (2929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (2929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (2929)Termination reason: Unknown
% 1.54/0.55 % (2929)Termination phase: Naming
% 1.54/0.55
% 1.54/0.55 % (2929)Memory used [KB]: 1023
% 1.54/0.55 % (2929)Time elapsed: 0.002 s
% 1.54/0.55 % (2929)Instructions burned: 3 (million)
% 1.54/0.55 % (2929)------------------------------
% 1.54/0.55 % (2929)------------------------------
% 1.54/0.55 % (2935)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.54/0.55 % (2948)Instruction limit reached!
% 1.54/0.55 % (2948)------------------------------
% 1.54/0.55 % (2948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (2948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (2948)Termination reason: Unknown
% 1.54/0.55 % (2948)Termination phase: Saturation
% 1.54/0.55
% 1.54/0.55 % (2948)Memory used [KB]: 6908
% 1.54/0.55 % (2948)Time elapsed: 0.059 s
% 1.54/0.55 % (2948)Instructions burned: 68 (million)
% 1.54/0.55 % (2948)------------------------------
% 1.54/0.55 % (2948)------------------------------
% 1.54/0.55 % (2949)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.54/0.56 % (2941)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.54/0.56 % (2938)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.54/0.56 % (2940)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.56 % (2923)Instruction limit reached!
% 1.54/0.56 % (2923)------------------------------
% 1.54/0.56 % (2923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (2923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (2923)Termination reason: Unknown
% 1.54/0.56 % (2923)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (2923)Memory used [KB]: 1279
% 1.54/0.56 % (2923)Time elapsed: 0.167 s
% 1.54/0.56 % (2923)Instructions burned: 38 (million)
% 1.54/0.56 % (2923)------------------------------
% 1.54/0.56 % (2923)------------------------------
% 1.54/0.56 % (2947)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.54/0.57 % (2928)Instruction limit reached!
% 1.54/0.57 % (2928)------------------------------
% 1.54/0.57 % (2928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (2928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (2928)Termination reason: Unknown
% 1.54/0.57 % (2928)Termination phase: shuffling
% 1.54/0.57
% 1.54/0.57 % (2928)Memory used [KB]: 1023
% 1.54/0.57 % (2928)Time elapsed: 0.005 s
% 1.54/0.57 % (2928)Instructions burned: 8 (million)
% 1.54/0.57 % (2928)------------------------------
% 1.54/0.57 % (2928)------------------------------
% 1.54/0.59 % (2930)Instruction limit reached!
% 1.54/0.59 % (2930)------------------------------
% 1.54/0.59 % (2930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (2930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (2930)Termination reason: Unknown
% 1.54/0.59 % (2930)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (2930)Memory used [KB]: 1535
% 1.54/0.59 % (2930)Time elapsed: 0.193 s
% 1.54/0.59 % (2930)Instructions burned: 51 (million)
% 1.54/0.59 % (2930)------------------------------
% 1.54/0.59 % (2930)------------------------------
% 1.54/0.60 TRYING [5]
% 1.54/0.62 % (2924)Instruction limit reached!
% 1.54/0.62 % (2924)------------------------------
% 1.54/0.62 % (2924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (2924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (2924)Termination reason: Unknown
% 1.54/0.62 % (2924)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (2924)Memory used [KB]: 6908
% 1.54/0.62 % (2924)Time elapsed: 0.198 s
% 1.54/0.62 % (2924)Instructions burned: 51 (million)
% 1.54/0.62 % (2924)------------------------------
% 1.54/0.62 % (2924)------------------------------
% 1.54/0.62 % (2925)Instruction limit reached!
% 1.54/0.62 % (2925)------------------------------
% 1.54/0.62 % (2925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (2925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (2925)Termination reason: Unknown
% 1.54/0.62 % (2925)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (2925)Memory used [KB]: 6652
% 1.54/0.62 % (2925)Time elapsed: 0.026 s
% 1.54/0.62 % (2925)Instructions burned: 53 (million)
% 1.54/0.62 % (2925)------------------------------
% 1.54/0.62 % (2925)------------------------------
% 1.54/0.62 % (2922)Instruction limit reached!
% 1.54/0.62 % (2922)------------------------------
% 1.54/0.62 % (2922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (2922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (2922)Termination reason: Unknown
% 1.54/0.62 % (2922)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (2922)Memory used [KB]: 6652
% 1.54/0.62 % (2922)Time elapsed: 0.027 s
% 1.54/0.62 % (2922)Instructions burned: 50 (million)
% 1.54/0.62 % (2922)------------------------------
% 1.54/0.62 % (2922)------------------------------
% 1.54/0.63 % (2950)First to succeed.
% 1.54/0.63 % (2926)Instruction limit reached!
% 1.54/0.63 % (2926)------------------------------
% 1.54/0.63 % (2926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.63 % (2926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.63 % (2926)Termination reason: Unknown
% 1.54/0.63 % (2926)Termination phase: Saturation
% 1.54/0.63
% 1.54/0.63 % (2926)Memory used [KB]: 6524
% 1.54/0.63 % (2926)Time elapsed: 0.204 s
% 1.54/0.63 % (2926)Instructions burned: 50 (million)
% 1.54/0.63 % (2926)------------------------------
% 1.54/0.63 % (2926)------------------------------
% 1.54/0.63 % (2931)Instruction limit reached!
% 1.54/0.63 % (2931)------------------------------
% 1.54/0.63 % (2931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.63 % (2931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.63 % (2931)Termination reason: Unknown
% 1.54/0.63 % (2931)Termination phase: Saturation
% 1.54/0.63
% 1.54/0.63 % (2931)Memory used [KB]: 7036
% 1.54/0.63 % (2931)Time elapsed: 0.025 s
% 1.54/0.63 % (2931)Instructions burned: 51 (million)
% 1.54/0.63 % (2931)------------------------------
% 1.54/0.63 % (2931)------------------------------
% 2.07/0.63 % (2938)Instruction limit reached!
% 2.07/0.63 % (2938)------------------------------
% 2.07/0.63 % (2938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (2938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (2938)Termination reason: Unknown
% 2.07/0.63 % (2938)Termination phase: Finite model building constraint generation
% 2.07/0.63
% 2.07/0.63 % (2938)Memory used [KB]: 7803
% 2.07/0.63 % (2938)Time elapsed: 0.025 s
% 2.07/0.63 % (2938)Instructions burned: 59 (million)
% 2.07/0.63 % (2938)------------------------------
% 2.07/0.63 % (2938)------------------------------
% 2.07/0.63 % (2952)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.07/0.65 % (2950)Refutation found. Thanks to Tanya!
% 2.07/0.65 % SZS status Theorem for theBenchmark
% 2.07/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.66 % (2950)------------------------------
% 2.07/0.66 % (2950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66 % (2950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66 % (2950)Termination reason: Refutation
% 2.07/0.66
% 2.07/0.66 % (2950)Memory used [KB]: 7419
% 2.07/0.66 % (2950)Time elapsed: 0.048 s
% 2.07/0.66 % (2950)Instructions burned: 81 (million)
% 2.07/0.66 % (2950)------------------------------
% 2.07/0.66 % (2950)------------------------------
% 2.07/0.66 % (2920)Success in time 0.31 s
%------------------------------------------------------------------------------