TSTP Solution File: ALG038+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:39:07 EDT 2022
% Result : Theorem 1.76s 0.57s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 141
% Syntax : Number of formulae : 638 ( 92 unt; 0 def)
% Number of atoms : 2610 (1579 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3177 (1205 ~;1371 |; 488 &)
% ( 113 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 127 ( 125 usr; 126 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3878,plain,
$false,
inference(avatar_sat_refutation,[],[f772,f918,f1000,f1025,f1026,f1099,f1169,f1256,f1257,f1259,f1300,f1315,f1316,f1334,f1344,f1389,f1415,f1490,f1516,f1521,f1533,f1534,f1552,f1559,f1581,f1637,f1704,f1766,f1785,f1810,f1834,f1843,f1886,f1897,f1900,f1910,f1994,f2070,f2089,f2117,f2137,f2174,f2191,f2223,f2228,f2234,f2239,f2282,f2313,f2316,f2323,f2343,f2360,f2402,f2410,f2437,f2439,f2451,f2486,f2491,f2510,f2533,f2565,f2610,f2618,f2643,f2653,f2675,f2685,f2717,f2749,f2785,f2807,f2843,f2868,f2876,f2888,f2895,f2896,f2901,f2903,f2913,f2921,f2924,f2929,f2957,f2970,f2992,f3033,f3043,f3065,f3105,f3119,f3199,f3212,f3213,f3224,f3242,f3251,f3323,f3341,f3432,f3471,f3554,f3588,f3610,f3659,f3684,f3722,f3749,f3774,f3801,f3844,f3861]) ).
fof(f3861,plain,
( spl12_38
| ~ spl12_75
| ~ spl12_126
| ~ spl12_202
| ~ spl12_209
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3860]) ).
fof(f3860,plain,
( $false
| spl12_38
| ~ spl12_75
| ~ spl12_126
| ~ spl12_202
| ~ spl12_209
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3859,f696]) ).
fof(f696,plain,
( e20 = op2(e22,e21)
| ~ spl12_75 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl12_75
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f3859,plain,
( e20 != op2(e22,e21)
| spl12_38
| ~ spl12_126
| ~ spl12_202
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3858,f1557]) ).
fof(f1557,plain,
( e20 = h2(e10)
| ~ spl12_249 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1556,plain,
( spl12_249
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_249])]) ).
fof(f3858,plain,
( op2(e22,e21) != h2(e10)
| spl12_38
| ~ spl12_126
| ~ spl12_202
| ~ spl12_209 ),
inference(forward_demodulation,[],[f3857,f1282]) ).
fof(f1282,plain,
( e10 = op1(e12,e11)
| ~ spl12_202 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1280,plain,
( spl12_202
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_202])]) ).
fof(f3857,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| spl12_38
| ~ spl12_126
| ~ spl12_209 ),
inference(forward_demodulation,[],[f3856,f1313]) ).
fof(f1313,plain,
( e22 = h2(e12)
| ~ spl12_209 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1312,plain,
( spl12_209
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_209])]) ).
fof(f3856,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| spl12_38
| ~ spl12_126 ),
inference(forward_demodulation,[],[f538,f916]) ).
fof(f916,plain,
( e21 = h2(e11)
| ~ spl12_126 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f915,plain,
( spl12_126
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_126])]) ).
fof(f538,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl12_38 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl12_38
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
fof(f3844,plain,
( spl12_37
| ~ spl12_219
| ~ spl12_245
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3843]) ).
fof(f3843,plain,
( $false
| spl12_37
| ~ spl12_219
| ~ spl12_245
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3842,f1527]) ).
fof(f1527,plain,
( e20 = op2(e20,e20)
| ~ spl12_245 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1525,plain,
( spl12_245
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_245])]) ).
fof(f3842,plain,
( e20 != op2(e20,e20)
| spl12_37
| ~ spl12_219
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3841,f1557]) ).
fof(f3841,plain,
( op2(e20,e20) != h2(e10)
| spl12_37
| ~ spl12_219
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3840,f1372]) ).
fof(f1372,plain,
( e10 = op1(e10,e10)
| ~ spl12_219 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1370,plain,
( spl12_219
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_219])]) ).
fof(f3840,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl12_37
| ~ spl12_249 ),
inference(forward_demodulation,[],[f534,f1557]) ).
fof(f534,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl12_37 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl12_37
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f3801,plain,
( ~ spl12_7
| spl12_36
| ~ spl12_126
| ~ spl12_172
| ~ spl12_209
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f3800]) ).
fof(f3800,plain,
( $false
| ~ spl12_7
| spl12_36
| ~ spl12_126
| ~ spl12_172
| ~ spl12_209
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f3799,f1134]) ).
fof(f1134,plain,
( e22 = op2(e21,e23)
| ~ spl12_172 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl12_172
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_172])]) ).
fof(f3799,plain,
( e22 != op2(e21,e23)
| ~ spl12_7
| spl12_36
| ~ spl12_126
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3798,f1313]) ).
fof(f3798,plain,
( op2(e21,e23) != h2(e12)
| ~ spl12_7
| spl12_36
| ~ spl12_126
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3797,f411]) ).
fof(f411,plain,
( e12 = op1(e11,e13)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl12_7
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f3797,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| spl12_36
| ~ spl12_126
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3796,f916]) ).
fof(f3796,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl12_36
| ~ spl12_248 ),
inference(forward_demodulation,[],[f530,f1550]) ).
fof(f1550,plain,
( e23 = h2(e13)
| ~ spl12_248 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1549,plain,
( spl12_248
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_248])]) ).
fof(f530,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl12_36 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl12_36
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f3774,plain,
( spl12_35
| ~ spl12_215
| ~ spl12_227
| ~ spl12_248
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3773]) ).
fof(f3773,plain,
( $false
| spl12_35
| ~ spl12_215
| ~ spl12_227
| ~ spl12_248
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3772,f1414]) ).
fof(f1414,plain,
( e23 = op2(e20,e23)
| ~ spl12_227 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl12_227
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_227])]) ).
fof(f3772,plain,
( e23 != op2(e20,e23)
| spl12_35
| ~ spl12_215
| ~ spl12_248
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3771,f1550]) ).
fof(f3771,plain,
( op2(e20,e23) != h2(e13)
| spl12_35
| ~ spl12_215
| ~ spl12_248
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3770,f1352]) ).
fof(f1352,plain,
( e13 = op1(e10,e13)
| ~ spl12_215 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1350,plain,
( spl12_215
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_215])]) ).
fof(f3770,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| spl12_35
| ~ spl12_248
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3769,f1557]) ).
fof(f3769,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl12_35
| ~ spl12_248 ),
inference(forward_demodulation,[],[f526,f1550]) ).
fof(f526,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl12_35 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f524,plain,
( spl12_35
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f3749,plain,
( ~ spl12_14
| spl12_34
| ~ spl12_97
| ~ spl12_248
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3748]) ).
fof(f3748,plain,
( $false
| ~ spl12_14
| spl12_34
| ~ spl12_97
| ~ spl12_248
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3747,f440]) ).
fof(f440,plain,
( e23 = op2(e23,e20)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl12_14
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f3747,plain,
( e23 != op2(e23,e20)
| spl12_34
| ~ spl12_97
| ~ spl12_248
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3746,f1550]) ).
fof(f3746,plain,
( op2(e23,e20) != h2(e13)
| spl12_34
| ~ spl12_97
| ~ spl12_248
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3745,f795]) ).
fof(f795,plain,
( e13 = op1(e13,e10)
| ~ spl12_97 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl12_97
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).
fof(f3745,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| spl12_34
| ~ spl12_248
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3744,f1550]) ).
fof(f3744,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl12_34
| ~ spl12_249 ),
inference(forward_demodulation,[],[f522,f1557]) ).
fof(f522,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl12_34 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl12_34
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f3722,plain,
( spl12_33
| ~ spl12_50
| ~ spl12_81
| ~ spl12_126
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f3721]) ).
fof(f3721,plain,
( $false
| spl12_33
| ~ spl12_50
| ~ spl12_81
| ~ spl12_126
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f3720,f721]) ).
fof(f721,plain,
( e23 = op2(e21,e21)
| ~ spl12_81 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f719,plain,
( spl12_81
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
fof(f3720,plain,
( e23 != op2(e21,e21)
| spl12_33
| ~ spl12_50
| ~ spl12_126
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3719,f1550]) ).
fof(f3719,plain,
( op2(e21,e21) != h2(e13)
| spl12_33
| ~ spl12_50
| ~ spl12_126 ),
inference(forward_demodulation,[],[f3718,f591]) ).
fof(f591,plain,
( e13 = op1(e11,e11)
| ~ spl12_50 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl12_50
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
fof(f3718,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| spl12_33
| ~ spl12_126 ),
inference(forward_demodulation,[],[f518,f916]) ).
fof(f518,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl12_33 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl12_33
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f3684,plain,
( spl12_32
| ~ spl12_126
| ~ spl12_127
| ~ spl12_159
| ~ spl12_209
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f3683]) ).
fof(f3683,plain,
( $false
| spl12_32
| ~ spl12_126
| ~ spl12_127
| ~ spl12_159
| ~ spl12_209
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f3682,f922]) ).
fof(f922,plain,
( e21 = op2(e23,e22)
| ~ spl12_127 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl12_127
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_127])]) ).
fof(f3682,plain,
( e21 != op2(e23,e22)
| spl12_32
| ~ spl12_126
| ~ spl12_159
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3681,f916]) ).
fof(f3681,plain,
( op2(e23,e22) != h2(e11)
| spl12_32
| ~ spl12_159
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3680,f1071]) ).
fof(f1071,plain,
( e11 = op1(e13,e12)
| ~ spl12_159 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1069,plain,
( spl12_159
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_159])]) ).
fof(f3680,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| spl12_32
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3679,f1550]) ).
fof(f3679,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| spl12_32
| ~ spl12_209 ),
inference(forward_demodulation,[],[f514,f1313]) ).
fof(f514,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl12_32 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f512,plain,
( spl12_32
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f3659,plain,
( spl12_31
| ~ spl12_126
| ~ spl12_161
| ~ spl12_209
| ~ spl12_246
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f3658]) ).
fof(f3658,plain,
( $false
| spl12_31
| ~ spl12_126
| ~ spl12_161
| ~ spl12_209
| ~ spl12_246
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f3657,f1532]) ).
fof(f1532,plain,
( e22 = op2(e23,e21)
| ~ spl12_246 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1530,plain,
( spl12_246
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_246])]) ).
fof(f3657,plain,
( e22 != op2(e23,e21)
| spl12_31
| ~ spl12_126
| ~ spl12_161
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3656,f1313]) ).
fof(f3656,plain,
( op2(e23,e21) != h2(e12)
| spl12_31
| ~ spl12_126
| ~ spl12_161
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3655,f1080]) ).
fof(f1080,plain,
( e12 = op1(e13,e11)
| ~ spl12_161 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1078,plain,
( spl12_161
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_161])]) ).
fof(f3655,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| spl12_31
| ~ spl12_126
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3654,f1550]) ).
fof(f3654,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl12_31
| ~ spl12_126 ),
inference(forward_demodulation,[],[f510,f916]) ).
fof(f510,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl12_31 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f508,plain,
( spl12_31
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f3610,plain,
( spl12_30
| ~ spl12_90
| ~ spl12_126
| ~ spl12_141
| ~ spl12_209
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3609,plain,
( $false
| spl12_30
| ~ spl12_90
| ~ spl12_126
| ~ spl12_141
| ~ spl12_209
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f3608,f763]) ).
fof(f763,plain,
( e21 = op2(e22,e23)
| ~ spl12_90 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl12_90
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
fof(f3608,plain,
( e21 != op2(e22,e23)
| spl12_30
| ~ spl12_126
| ~ spl12_141
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3607,f916]) ).
fof(f3607,plain,
( op2(e22,e23) != h2(e11)
| spl12_30
| ~ spl12_141
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3606,f984]) ).
fof(f984,plain,
( e11 = op1(e12,e13)
| ~ spl12_141 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl12_141
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_141])]) ).
fof(f3606,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| spl12_30
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3605,f1313]) ).
fof(f3605,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl12_30
| ~ spl12_248 ),
inference(forward_demodulation,[],[f506,f1550]) ).
fof(f506,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl12_30 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl12_30
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f3588,plain,
( spl12_29
| ~ spl12_126
| ~ spl12_133
| ~ spl12_171
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3587]) ).
fof(f3587,plain,
( $false
| spl12_29
| ~ spl12_126
| ~ spl12_133
| ~ spl12_171
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3586,f948]) ).
fof(f948,plain,
( e21 = op2(e20,e21)
| ~ spl12_133 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl12_133
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_133])]) ).
fof(f3586,plain,
( e21 != op2(e20,e21)
| spl12_29
| ~ spl12_126
| ~ spl12_171
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3585,f916]) ).
fof(f3585,plain,
( op2(e20,e21) != h2(e11)
| spl12_29
| ~ spl12_126
| ~ spl12_171
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3584,f1129]) ).
fof(f1129,plain,
( e11 = op1(e10,e11)
| ~ spl12_171 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1127,plain,
( spl12_171
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_171])]) ).
fof(f3584,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl12_29
| ~ spl12_126
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3583,f1557]) ).
fof(f3583,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| spl12_29
| ~ spl12_126 ),
inference(forward_demodulation,[],[f502,f916]) ).
fof(f502,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl12_29 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl12_29
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f3554,plain,
( spl12_28
| ~ spl12_85
| ~ spl12_125
| ~ spl12_209
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3553]) ).
fof(f3553,plain,
( $false
| spl12_28
| ~ spl12_85
| ~ spl12_125
| ~ spl12_209
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3552,f912]) ).
fof(f912,plain,
( e22 = op2(e22,e20)
| ~ spl12_125 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f910,plain,
( spl12_125
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_125])]) ).
fof(f3552,plain,
( e22 != op2(e22,e20)
| spl12_28
| ~ spl12_85
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3551,f1313]) ).
fof(f3551,plain,
( op2(e22,e20) != h2(e12)
| spl12_28
| ~ spl12_85
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3550,f741]) ).
fof(f741,plain,
( e12 = op1(e12,e10)
| ~ spl12_85 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl12_85
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
fof(f3550,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| spl12_28
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3549,f1313]) ).
fof(f3549,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl12_28
| ~ spl12_249 ),
inference(forward_demodulation,[],[f498,f1557]) ).
fof(f498,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl12_28 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl12_28
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f3471,plain,
( ~ spl12_4
| spl12_27
| ~ spl12_126
| ~ spl12_151
| ~ spl12_209
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3470]) ).
fof(f3470,plain,
( $false
| ~ spl12_4
| spl12_27
| ~ spl12_126
| ~ spl12_151
| ~ spl12_209
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3469,f397]) ).
fof(f397,plain,
( e20 = op2(e21,e22)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl12_4
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f3469,plain,
( e20 != op2(e21,e22)
| spl12_27
| ~ spl12_126
| ~ spl12_151
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3468,f1557]) ).
fof(f3468,plain,
( op2(e21,e22) != h2(e10)
| spl12_27
| ~ spl12_126
| ~ spl12_151
| ~ spl12_209 ),
inference(forward_demodulation,[],[f3467,f1034]) ).
fof(f1034,plain,
( e10 = op1(e11,e12)
| ~ spl12_151 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl12_151
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_151])]) ).
fof(f3467,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| spl12_27
| ~ spl12_126
| ~ spl12_209 ),
inference(forward_demodulation,[],[f3466,f916]) ).
fof(f3466,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| spl12_27
| ~ spl12_209 ),
inference(forward_demodulation,[],[f494,f1313]) ).
fof(f494,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl12_27 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl12_27
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f3432,plain,
( ~ spl12_92
| ~ spl12_227 ),
inference(avatar_contradiction_clause,[],[f3431]) ).
fof(f3431,plain,
( $false
| ~ spl12_92
| ~ spl12_227 ),
inference(subsumption_resolution,[],[f3430,f1414]) ).
fof(f3430,plain,
( e23 != op2(e20,e23)
| ~ spl12_92 ),
inference(forward_demodulation,[],[f156,f771]) ).
fof(f771,plain,
( e23 = op2(e22,e23)
| ~ spl12_92 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl12_92
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
fof(f156,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( op2(e23,e21) != op2(e23,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e23,e20) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e21) != op2(e22,e21)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e22) != op2(e23,e22)
& op2(e23,e22) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f3341,plain,
( spl12_26
| ~ spl12_130
| ~ spl12_209
| ~ spl12_244
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f3340]) ).
fof(f3340,plain,
( $false
| spl12_26
| ~ spl12_130
| ~ spl12_209
| ~ spl12_244
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f3339,f1520]) ).
fof(f1520,plain,
( e23 = op2(e22,e22)
| ~ spl12_244 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1518,plain,
( spl12_244
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_244])]) ).
fof(f3339,plain,
( e23 != op2(e22,e22)
| spl12_26
| ~ spl12_130
| ~ spl12_209
| ~ spl12_248 ),
inference(forward_demodulation,[],[f3338,f1550]) ).
fof(f3338,plain,
( op2(e22,e22) != h2(e13)
| spl12_26
| ~ spl12_130
| ~ spl12_209 ),
inference(forward_demodulation,[],[f3337,f935]) ).
fof(f935,plain,
( e13 = op1(e12,e12)
| ~ spl12_130 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl12_130
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_130])]) ).
fof(f3337,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| spl12_26
| ~ spl12_209 ),
inference(forward_demodulation,[],[f490,f1313]) ).
fof(f490,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl12_26 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl12_26
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f3323,plain,
( ~ spl12_15
| spl12_24
| ~ spl12_137
| ~ spl12_209
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3322]) ).
fof(f3322,plain,
( $false
| ~ spl12_15
| spl12_24
| ~ spl12_137
| ~ spl12_209
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3321,f966]) ).
fof(f966,plain,
( e22 = op2(e20,e22)
| ~ spl12_137 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f964,plain,
( spl12_137
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_137])]) ).
fof(f3321,plain,
( e22 != op2(e20,e22)
| ~ spl12_15
| spl12_24
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3320,f1313]) ).
fof(f3320,plain,
( op2(e20,e22) != h2(e12)
| ~ spl12_15
| spl12_24
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3319,f445]) ).
fof(f445,plain,
( e12 = op1(e10,e12)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl12_15
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f3319,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| spl12_24
| ~ spl12_209
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3318,f1557]) ).
fof(f3318,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| spl12_24
| ~ spl12_209 ),
inference(forward_demodulation,[],[f482,f1313]) ).
fof(f482,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl12_24 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f480,plain,
( spl12_24
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f3251,plain,
( spl12_21
| ~ spl12_47
| ~ spl12_126
| ~ spl12_180
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f3250]) ).
fof(f3250,plain,
( $false
| spl12_21
| ~ spl12_47
| ~ spl12_126
| ~ spl12_180
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f3249,f578]) ).
fof(f578,plain,
( e21 = op2(e21,e20)
| ~ spl12_47 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl12_47
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
fof(f3249,plain,
( e21 != op2(e21,e20)
| spl12_21
| ~ spl12_126
| ~ spl12_180
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3248,f916]) ).
fof(f3248,plain,
( op2(e21,e20) != h2(e11)
| spl12_21
| ~ spl12_126
| ~ spl12_180
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3247,f1173]) ).
fof(f1173,plain,
( e11 = op1(e11,e10)
| ~ spl12_180 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1171,plain,
( spl12_180
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_180])]) ).
fof(f3247,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl12_21
| ~ spl12_126
| ~ spl12_249 ),
inference(forward_demodulation,[],[f3246,f916]) ).
fof(f3246,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| spl12_21
| ~ spl12_249 ),
inference(forward_demodulation,[],[f470,f1557]) ).
fof(f470,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl12_21 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl12_21
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f3242,plain,
( ~ spl12_165
| ~ spl12_85 ),
inference(avatar_split_clause,[],[f3241,f739,f1096]) ).
fof(f1096,plain,
( spl12_165
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_165])]) ).
fof(f3241,plain,
( e12 != op1(e12,e11)
| ~ spl12_85 ),
inference(forward_demodulation,[],[f206,f741]) ).
fof(f206,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e13) != op1(e12,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f3224,plain,
( ~ spl12_9
| ~ spl12_50 ),
inference(avatar_contradiction_clause,[],[f3223]) ).
fof(f3223,plain,
( $false
| ~ spl12_9
| ~ spl12_50 ),
inference(subsumption_resolution,[],[f3222,f323]) ).
fof(f323,plain,
e12 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( e10 != e13
& e12 != e13
& e11 != e12
& e11 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f3222,plain,
( e12 = e13
| ~ spl12_9
| ~ spl12_50 ),
inference(backward_demodulation,[],[f591,f419]) ).
fof(f419,plain,
( e12 = op1(e11,e11)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl12_9
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f3213,plain,
( ~ spl12_131
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f3209,f793,f937]) ).
fof(f937,plain,
( spl12_131
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_131])]) ).
fof(f3209,plain,
( e13 != op1(e13,e12)
| ~ spl12_97 ),
inference(backward_demodulation,[],[f200,f795]) ).
fof(f200,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f3212,plain,
( ~ spl12_86
| ~ spl12_97 ),
inference(avatar_split_clause,[],[f3210,f793,f743]) ).
fof(f743,plain,
( spl12_86
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_86])]) ).
fof(f3210,plain,
( e13 != op1(e12,e10)
| ~ spl12_97 ),
inference(backward_demodulation,[],[f185,f795]) ).
fof(f185,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f7]) ).
fof(f3199,plain,
( ~ spl12_151
| ~ spl12_254 ),
inference(avatar_contradiction_clause,[],[f3198]) ).
fof(f3198,plain,
( $false
| ~ spl12_151
| ~ spl12_254 ),
inference(subsumption_resolution,[],[f3197,f320]) ).
fof(f320,plain,
e10 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f3197,plain,
( e10 = e12
| ~ spl12_151
| ~ spl12_254 ),
inference(forward_demodulation,[],[f3196,f1034]) ).
fof(f3196,plain,
( e12 = op1(e11,e12)
| ~ spl12_254 ),
inference(forward_demodulation,[],[f294,f1580]) ).
fof(f1580,plain,
( e11 = unit1
| ~ spl12_254 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1578,plain,
( spl12_254
<=> e11 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_254])]) ).
fof(f294,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e12 = op1(e12,unit1)
& ( e11 = unit1
| e12 = unit1
| e10 = unit1
| e13 = unit1 )
& e10 = op1(unit1,e10)
& e11 = op1(e11,unit1)
& e12 = op1(unit1,e12)
& e11 = op1(unit1,e11)
& e13 = op1(e13,unit1)
& e10 = op1(e10,unit1)
& e13 = op1(unit1,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3119,plain,
( ~ spl12_144
| ~ spl12_50 ),
inference(avatar_split_clause,[],[f3118,f589,f997]) ).
fof(f997,plain,
( spl12_144
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_144])]) ).
fof(f3118,plain,
( e13 != op1(e12,e11)
| ~ spl12_50 ),
inference(forward_demodulation,[],[f214,f591]) ).
fof(f214,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f3105,plain,
( ~ spl12_142
| ~ spl12_205 ),
inference(avatar_contradiction_clause,[],[f3104]) ).
fof(f3104,plain,
( $false
| ~ spl12_142
| ~ spl12_205 ),
inference(subsumption_resolution,[],[f3103,f248]) ).
fof(f248,plain,
e21 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( e22 != e23
& e20 != e23
& e20 != e21
& e20 != e22
& e21 != e22
& e21 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f3103,plain,
( e21 = e23
| ~ spl12_142
| ~ spl12_205 ),
inference(forward_demodulation,[],[f2792,f990]) ).
fof(f990,plain,
( e21 = op2(e20,e23)
| ~ spl12_142 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl12_142
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_142])]) ).
fof(f2792,plain,
( e23 = op2(e20,e23)
| ~ spl12_205 ),
inference(forward_demodulation,[],[f375,f1295]) ).
fof(f1295,plain,
( e20 = unit2
| ~ spl12_205 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1293,plain,
( spl12_205
<=> e20 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_205])]) ).
fof(f375,plain,
e23 = op2(unit2,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e20,unit2)
& e21 = op2(unit2,e21)
& ( e20 = unit2
| e22 = unit2
| e23 = unit2
| e21 = unit2 )
& e22 = op2(unit2,e22)
& e23 = op2(e23,unit2)
& e20 = op2(unit2,e20)
& e23 = op2(unit2,e23)
& e21 = op2(e21,unit2)
& e22 = op2(e22,unit2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3065,plain,
( spl12_23
| ~ spl12_199
| ~ spl12_248
| ~ spl12_249
| ~ spl12_269 ),
inference(avatar_contradiction_clause,[],[f3064]) ).
fof(f3064,plain,
( $false
| spl12_23
| ~ spl12_199
| ~ spl12_248
| ~ spl12_249
| ~ spl12_269 ),
inference(subsumption_resolution,[],[f3062,f1557]) ).
fof(f3062,plain,
( e20 != h2(e10)
| spl12_23
| ~ spl12_199
| ~ spl12_248
| ~ spl12_269 ),
inference(backward_demodulation,[],[f3026,f1269]) ).
fof(f1269,plain,
( e10 = op1(e13,e13)
| ~ spl12_199 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl12_199
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_199])]) ).
fof(f3026,plain,
( e20 != h2(op1(e13,e13))
| spl12_23
| ~ spl12_248
| ~ spl12_269 ),
inference(forward_demodulation,[],[f2431,f1684]) ).
fof(f1684,plain,
( e20 = h4(e13)
| ~ spl12_269 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1683,plain,
( spl12_269
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_269])]) ).
fof(f2431,plain,
( h4(e13) != h2(op1(e13,e13))
| spl12_23
| ~ spl12_248 ),
inference(forward_demodulation,[],[f2430,f288]) ).
fof(f288,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( op2(e23,op2(e23,e23)) = h4(e12)
& op2(e23,e23) = h4(e13)
& e23 = h4(e11)
& h4(e10) = op2(e23,op2(e23,op2(e23,e23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f2430,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl12_23
| ~ spl12_248 ),
inference(forward_demodulation,[],[f478,f1550]) ).
fof(f478,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl12_23 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl12_23
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f3043,plain,
( ~ spl12_140
| ~ spl12_171 ),
inference(avatar_split_clause,[],[f3042,f1127,f978]) ).
fof(f978,plain,
( spl12_140
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_140])]) ).
fof(f3042,plain,
( e11 != op1(e12,e11)
| ~ spl12_171 ),
inference(forward_demodulation,[],[f201,f1129]) ).
fof(f201,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f3033,plain,
( ~ spl12_160
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f3032,f443,f1074]) ).
fof(f1074,plain,
( spl12_160
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_160])]) ).
fof(f3032,plain,
( e12 != op1(e13,e12)
| ~ spl12_15 ),
inference(forward_demodulation,[],[f213,f445]) ).
fof(f213,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f2992,plain,
( ~ spl12_200
| ~ spl12_151 ),
inference(avatar_split_clause,[],[f2991,f1032,f1271]) ).
fof(f1271,plain,
( spl12_200
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_200])]) ).
fof(f2991,plain,
( e10 != op1(e13,e12)
| ~ spl12_151 ),
inference(forward_demodulation,[],[f226,f1034]) ).
fof(f226,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f2970,plain,
( spl12_269
| ~ spl12_87 ),
inference(avatar_split_clause,[],[f2968,f748,f1683]) ).
fof(f748,plain,
( spl12_87
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
fof(f2968,plain,
( e20 = h4(e13)
| ~ spl12_87 ),
inference(backward_demodulation,[],[f288,f750]) ).
fof(f750,plain,
( e20 = op2(e23,e23)
| ~ spl12_87 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f2957,plain,
( ~ spl12_164
| ~ spl12_171 ),
inference(avatar_contradiction_clause,[],[f2956]) ).
fof(f2956,plain,
( $false
| ~ spl12_164
| ~ spl12_171 ),
inference(subsumption_resolution,[],[f2955,f322]) ).
fof(f322,plain,
e11 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f2955,plain,
( e11 = e12
| ~ spl12_164
| ~ spl12_171 ),
inference(backward_demodulation,[],[f1094,f1129]) ).
fof(f1094,plain,
( e12 = op1(e10,e11)
| ~ spl12_164 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1092,plain,
( spl12_164
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_164])]) ).
fof(f2929,plain,
( ~ spl12_76
| ~ spl12_75 ),
inference(avatar_split_clause,[],[f2928,f694,f698]) ).
fof(f698,plain,
( spl12_76
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f2928,plain,
( e20 != op2(e23,e21)
| ~ spl12_75 ),
inference(forward_demodulation,[],[f150,f696]) ).
fof(f150,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2924,plain,
( ~ spl12_225
| ~ spl12_90 ),
inference(avatar_split_clause,[],[f2922,f761,f1402]) ).
fof(f1402,plain,
( spl12_225
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_225])]) ).
fof(f2922,plain,
( e21 != h4(e13)
| ~ spl12_90 ),
inference(backward_demodulation,[],[f1310,f763]) ).
fof(f1310,plain,
op2(e22,e23) != h4(e13),
inference(forward_demodulation,[],[f133,f288]) ).
fof(f133,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2921,plain,
( spl12_171
| ~ spl12_253 ),
inference(avatar_split_clause,[],[f2812,f1574,f1127]) ).
fof(f1574,plain,
( spl12_253
<=> e10 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_253])]) ).
fof(f2812,plain,
( e11 = op1(e10,e11)
| ~ spl12_253 ),
inference(forward_demodulation,[],[f293,f1576]) ).
fof(f1576,plain,
( e10 = unit1
| ~ spl12_253 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f293,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f2]) ).
fof(f2913,plain,
( ~ spl12_264
| ~ spl12_227 ),
inference(avatar_split_clause,[],[f2912,f1412,f1656]) ).
fof(f1656,plain,
( spl12_264
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_264])]) ).
fof(f2912,plain,
( e23 != h4(e13)
| ~ spl12_227 ),
inference(forward_demodulation,[],[f724,f1414]) ).
fof(f724,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[],[f152,f288]) ).
fof(f152,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2903,plain,
( ~ spl12_148
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f2902,f409,f1017]) ).
fof(f1017,plain,
( spl12_148
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_148])]) ).
fof(f2902,plain,
( e12 != op1(e12,e13)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f181,f411]) ).
fof(f181,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2901,plain,
( spl12_133
| ~ spl12_205 ),
inference(avatar_split_clause,[],[f2818,f1293,f946]) ).
fof(f2818,plain,
( e21 = op2(e20,e21)
| ~ spl12_205 ),
inference(forward_demodulation,[],[f380,f1295]) ).
fof(f380,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f2896,plain,
( spl12_97
| ~ spl12_253 ),
inference(avatar_split_clause,[],[f2833,f1574,f793]) ).
fof(f2833,plain,
( e13 = op1(e13,e10)
| ~ spl12_253 ),
inference(forward_demodulation,[],[f292,f1576]) ).
fof(f292,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f2895,plain,
( ~ spl12_208
| ~ spl12_202 ),
inference(avatar_split_clause,[],[f2894,f1280,f1306]) ).
fof(f1306,plain,
( spl12_208
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_208])]) ).
fof(f2894,plain,
( e10 != op1(e12,e13)
| ~ spl12_202 ),
inference(forward_demodulation,[],[f189,f1282]) ).
fof(f189,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2888,plain,
( spl12_137
| ~ spl12_205 ),
inference(avatar_split_clause,[],[f2754,f1293,f964]) ).
fof(f2754,plain,
( e22 = op2(e20,e22)
| ~ spl12_205 ),
inference(forward_demodulation,[],[f378,f1295]) ).
fof(f378,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f2876,plain,
( spl12_219
| ~ spl12_253 ),
inference(avatar_split_clause,[],[f2825,f1574,f1370]) ).
fof(f2825,plain,
( e10 = op1(e10,e10)
| ~ spl12_253 ),
inference(forward_demodulation,[],[f291,f1576]) ).
fof(f291,plain,
e10 = op1(e10,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f2868,plain,
( spl12_15
| ~ spl12_253 ),
inference(avatar_contradiction_clause,[],[f2867]) ).
fof(f2867,plain,
( $false
| spl12_15
| ~ spl12_253 ),
inference(subsumption_resolution,[],[f2866,f444]) ).
fof(f444,plain,
( e12 != op1(e10,e12)
| spl12_15 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f2866,plain,
( e12 = op1(e10,e12)
| ~ spl12_253 ),
inference(forward_demodulation,[],[f294,f1576]) ).
fof(f2843,plain,
( spl12_85
| ~ spl12_253 ),
inference(avatar_split_clause,[],[f2842,f1574,f739]) ).
fof(f2842,plain,
( e12 = op1(e12,e10)
| ~ spl12_253 ),
inference(forward_demodulation,[],[f298,f1576]) ).
fof(f298,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f2807,plain,
( ~ spl12_222
| ~ spl12_253 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2806,plain,
( $false
| ~ spl12_222
| ~ spl12_253 ),
inference(subsumption_resolution,[],[f2805,f324]) ).
fof(f324,plain,
e10 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f2805,plain,
( e10 = e13
| ~ spl12_222
| ~ spl12_253 ),
inference(forward_demodulation,[],[f2801,f1388]) ).
fof(f1388,plain,
( e10 = op1(e10,e13)
| ~ spl12_222 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1386,plain,
( spl12_222
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_222])]) ).
fof(f2801,plain,
( e13 = op1(e10,e13)
| ~ spl12_253 ),
inference(backward_demodulation,[],[f290,f1576]) ).
fof(f290,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f2]) ).
fof(f2785,plain,
( ~ spl12_79
| ~ spl12_248 ),
inference(avatar_split_clause,[],[f2585,f1549,f711]) ).
fof(f711,plain,
( spl12_79
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
fof(f2585,plain,
( e23 != op2(e23,e21)
| ~ spl12_248 ),
inference(forward_demodulation,[],[f1774,f1550]) ).
fof(f1774,plain,
op2(e23,e21) != h2(e13),
inference(backward_demodulation,[],[f149,f311]) ).
fof(f311,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e21,op2(e21,e21)) = h2(e12)
& e21 = h2(e11)
& op2(e21,op2(e21,op2(e21,e21))) = h2(e10)
& op2(e21,e21) = h2(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f149,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2749,plain,
( spl12_245
| ~ spl12_205 ),
inference(avatar_split_clause,[],[f2747,f1293,f1525]) ).
fof(f2747,plain,
( e20 = op2(e20,e20)
| ~ spl12_205 ),
inference(backward_demodulation,[],[f376,f1295]) ).
fof(f376,plain,
e20 = op2(unit2,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f2717,plain,
( ~ spl12_4
| ~ spl12_206 ),
inference(avatar_contradiction_clause,[],[f2716]) ).
fof(f2716,plain,
( $false
| ~ spl12_4
| ~ spl12_206 ),
inference(subsumption_resolution,[],[f2715,f251]) ).
fof(f251,plain,
e20 != e21,
inference(cnf_transformation,[],[f10]) ).
fof(f2715,plain,
( e20 = e21
| ~ spl12_4
| ~ spl12_206 ),
inference(forward_demodulation,[],[f2707,f397]) ).
fof(f2707,plain,
( e21 = op2(e21,e22)
| ~ spl12_206 ),
inference(backward_demodulation,[],[f374,f1299]) ).
fof(f1299,plain,
( e22 = unit2
| ~ spl12_206 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1297,plain,
( spl12_206
<=> e22 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_206])]) ).
fof(f374,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f2685,plain,
( ~ spl12_133
| ~ spl12_221 ),
inference(avatar_split_clause,[],[f2684,f1379,f946]) ).
fof(f1379,plain,
( spl12_221
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_221])]) ).
fof(f2684,plain,
( e21 != op2(e20,e21)
| ~ spl12_221 ),
inference(forward_demodulation,[],[f139,f1381]) ).
fof(f1381,plain,
( e21 = op2(e23,e21)
| ~ spl12_221 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f139,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2675,plain,
( ~ spl12_146
| spl12_239 ),
inference(avatar_contradiction_clause,[],[f2674]) ).
fof(f2674,plain,
( $false
| ~ spl12_146
| spl12_239 ),
inference(subsumption_resolution,[],[f2671,f1483]) ).
fof(f1483,plain,
( e20 != h3(e13)
| spl12_239 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1481,plain,
( spl12_239
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_239])]) ).
fof(f2671,plain,
( e20 = h3(e13)
| ~ spl12_146 ),
inference(backward_demodulation,[],[f305,f1008]) ).
fof(f1008,plain,
( e20 = op2(e22,e22)
| ~ spl12_146 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl12_146
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_146])]) ).
fof(f305,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( op2(e22,op2(e22,e22)) = h3(e12)
& op2(e22,e22) = h3(e13)
& h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
& e22 = h3(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f2653,plain,
( ~ spl12_7
| ~ spl12_175 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2652,plain,
( $false
| ~ spl12_7
| ~ spl12_175 ),
inference(subsumption_resolution,[],[f2651,f322]) ).
fof(f2651,plain,
( e11 = e12
| ~ spl12_7
| ~ spl12_175 ),
inference(forward_demodulation,[],[f411,f1147]) ).
fof(f1147,plain,
( e11 = op1(e11,e13)
| ~ spl12_175 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1145,plain,
( spl12_175
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_175])]) ).
fof(f2643,plain,
( ~ spl12_80
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f2642]) ).
fof(f2642,plain,
( $false
| ~ spl12_80
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f2405,f717]) ).
fof(f717,plain,
( e23 = op2(e22,e21)
| ~ spl12_80 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl12_80
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
fof(f2405,plain,
( e23 != op2(e22,e21)
| ~ spl12_248 ),
inference(forward_demodulation,[],[f1775,f1550]) ).
fof(f1775,plain,
op2(e22,e21) != h2(e13),
inference(backward_demodulation,[],[f151,f311]) ).
fof(f151,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2618,plain,
( ~ spl12_211
| ~ spl12_172 ),
inference(avatar_split_clause,[],[f2617,f1132,f1331]) ).
fof(f1331,plain,
( spl12_211
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_211])]) ).
fof(f2617,plain,
( e22 != op2(e21,e20)
| ~ spl12_172 ),
inference(forward_demodulation,[],[f158,f1134]) ).
fof(f158,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2610,plain,
( ~ spl12_14
| ~ spl12_213 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2609,plain,
( $false
| ~ spl12_14
| ~ spl12_213 ),
inference(subsumption_resolution,[],[f2608,f252]) ).
fof(f252,plain,
e20 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f2608,plain,
( e20 = e23
| ~ spl12_14
| ~ spl12_213 ),
inference(backward_demodulation,[],[f440,f1343]) ).
fof(f1343,plain,
( e20 = op2(e23,e20)
| ~ spl12_213 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1341,plain,
( spl12_213
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_213])]) ).
fof(f2565,plain,
( ~ spl12_226
| ~ spl12_172 ),
inference(avatar_split_clause,[],[f2564,f1132,f1408]) ).
fof(f1408,plain,
( spl12_226
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_226])]) ).
fof(f2564,plain,
( e22 != op2(e20,e23)
| ~ spl12_172 ),
inference(forward_demodulation,[],[f168,f1134]) ).
fof(f168,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2533,plain,
( ~ spl12_279
| ~ spl12_90 ),
inference(avatar_split_clause,[],[f2532,f761,f1792]) ).
fof(f1792,plain,
( spl12_279
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_279])]) ).
fof(f2532,plain,
( e21 != h3(e13)
| ~ spl12_90 ),
inference(forward_demodulation,[],[f1706,f763]) ).
fof(f1706,plain,
op2(e22,e23) != h3(e13),
inference(forward_demodulation,[],[f131,f305]) ).
fof(f131,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2510,plain,
( spl12_7
| ~ spl12_50 ),
inference(avatar_split_clause,[],[f2128,f589,f409]) ).
fof(f2128,plain,
( e12 = op1(e11,e13)
| ~ spl12_50 ),
inference(backward_demodulation,[],[f179,f591]) ).
fof(f179,plain,
e12 = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( e13 = op1(e11,e11)
& e12 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,op1(e11,e11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f2491,plain,
( spl12_125
| ~ spl12_205 ),
inference(avatar_split_clause,[],[f2476,f1293,f910]) ).
fof(f2476,plain,
( e22 = op2(e22,e20)
| ~ spl12_205 ),
inference(backward_demodulation,[],[f373,f1295]) ).
fof(f373,plain,
e22 = op2(e22,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f2486,plain,
( ~ spl12_89
| ~ spl12_205 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
fof(f2485,plain,
( $false
| ~ spl12_89
| ~ spl12_205 ),
inference(subsumption_resolution,[],[f2484,f252]) ).
fof(f2484,plain,
( e20 = e23
| ~ spl12_89
| ~ spl12_205 ),
inference(forward_demodulation,[],[f2478,f758]) ).
fof(f758,plain,
( e20 = op2(e20,e23)
| ~ spl12_89 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl12_89
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_89])]) ).
fof(f2478,plain,
( e23 = op2(e20,e23)
| ~ spl12_205 ),
inference(backward_demodulation,[],[f375,f1295]) ).
fof(f2451,plain,
( ~ spl12_11
| ~ spl12_248 ),
inference(avatar_split_clause,[],[f2450,f1549,f426]) ).
fof(f426,plain,
( spl12_11
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f2450,plain,
( e23 != op2(e21,e20)
| ~ spl12_248 ),
inference(forward_demodulation,[],[f1773,f1550]) ).
fof(f1773,plain,
op2(e21,e20) != h2(e13),
inference(backward_demodulation,[],[f130,f311]) ).
fof(f130,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2439,plain,
( ~ spl12_270
| ~ spl12_137 ),
inference(avatar_split_clause,[],[f2438,f964,f1689]) ).
fof(f1689,plain,
( spl12_270
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_270])]) ).
fof(f2438,plain,
( e22 != h3(e13)
| ~ spl12_137 ),
inference(backward_demodulation,[],[f1164,f966]) ).
fof(f1164,plain,
op2(e20,e22) != h3(e13),
inference(forward_demodulation,[],[f164,f305]) ).
fof(f164,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f2437,plain,
( ~ spl12_150
| ~ spl12_151 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2436,plain,
( $false
| ~ spl12_150
| ~ spl12_151 ),
inference(subsumption_resolution,[],[f2435,f319]) ).
fof(f319,plain,
e10 != e11,
inference(cnf_transformation,[],[f9]) ).
fof(f2435,plain,
( e10 = e11
| ~ spl12_150
| ~ spl12_151 ),
inference(forward_demodulation,[],[f1030,f1034]) ).
fof(f1030,plain,
( e11 = op1(e11,e12)
| ~ spl12_150 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1028,plain,
( spl12_150
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_150])]) ).
fof(f2410,plain,
( ~ spl12_172
| ~ spl12_91 ),
inference(avatar_split_clause,[],[f2101,f765,f1132]) ).
fof(f765,plain,
( spl12_91
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
fof(f2101,plain,
( e22 != op2(e21,e23)
| ~ spl12_91 ),
inference(forward_demodulation,[],[f147,f767]) ).
fof(f767,plain,
( e22 = op2(e22,e23)
| ~ spl12_91 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f147,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2402,plain,
( spl12_172
| ~ spl12_248 ),
inference(avatar_split_clause,[],[f2224,f1549,f1132]) ).
fof(f2224,plain,
( e22 = op2(e21,e23)
| ~ spl12_248 ),
inference(backward_demodulation,[],[f1778,f1550]) ).
fof(f1778,plain,
e22 = op2(e21,h2(e13)),
inference(backward_demodulation,[],[f246,f311]) ).
fof(f246,plain,
e22 = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e20 = op2(e21,op2(e21,op2(e21,e21)))
& e22 = op2(e21,op2(e21,e21))
& e23 = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f2360,plain,
( ~ spl12_125
| ~ spl12_123 ),
inference(avatar_split_clause,[],[f2359,f902,f910]) ).
fof(f902,plain,
( spl12_123
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_123])]) ).
fof(f2359,plain,
( e22 != op2(e22,e20)
| ~ spl12_123 ),
inference(backward_demodulation,[],[f162,f904]) ).
fof(f904,plain,
( e22 = op2(e22,e21)
| ~ spl12_123 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f162,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2343,plain,
( spl12_270
| ~ spl12_124 ),
inference(avatar_split_clause,[],[f2342,f906,f1689]) ).
fof(f906,plain,
( spl12_124
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_124])]) ).
fof(f2342,plain,
( e22 = h3(e13)
| ~ spl12_124 ),
inference(backward_demodulation,[],[f305,f908]) ).
fof(f908,plain,
( e22 = op2(e22,e22)
| ~ spl12_124 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f2323,plain,
( ~ spl12_151
| ~ spl12_168 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2322,plain,
( $false
| ~ spl12_151
| ~ spl12_168 ),
inference(subsumption_resolution,[],[f2321,f1034]) ).
fof(f2321,plain,
( e10 != op1(e11,e12)
| ~ spl12_168 ),
inference(forward_demodulation,[],[f197,f1116]) ).
fof(f1116,plain,
( e10 = op1(e11,e13)
| ~ spl12_168 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl12_168
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_168])]) ).
fof(f197,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2316,plain,
( spl12_148
| ~ spl12_252 ),
inference(avatar_split_clause,[],[f2315,f1570,f1017]) ).
fof(f1570,plain,
( spl12_252
<=> e13 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_252])]) ).
fof(f2315,plain,
( e12 = op1(e12,e13)
| ~ spl12_252 ),
inference(forward_demodulation,[],[f298,f1572]) ).
fof(f1572,plain,
( e13 = unit1
| ~ spl12_252 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f2313,plain,
( ~ spl12_48
| ~ spl12_50 ),
inference(avatar_contradiction_clause,[],[f2312]) ).
fof(f2312,plain,
( $false
| ~ spl12_48
| ~ spl12_50 ),
inference(subsumption_resolution,[],[f2311,f321]) ).
fof(f321,plain,
e11 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f2311,plain,
( e11 = e13
| ~ spl12_48
| ~ spl12_50 ),
inference(backward_demodulation,[],[f591,f583]) ).
fof(f583,plain,
( e11 = op1(e11,e11)
| ~ spl12_48 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl12_48
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f2282,plain,
( ~ spl12_171
| ~ spl12_170 ),
inference(avatar_split_clause,[],[f2281,f1123,f1127]) ).
fof(f1123,plain,
( spl12_170
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_170])]) ).
fof(f2281,plain,
( e11 != op1(e10,e11)
| ~ spl12_170 ),
inference(forward_demodulation,[],[f196,f1125]) ).
fof(f1125,plain,
( e11 = op1(e10,e13)
| ~ spl12_170 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f196,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2239,plain,
( ~ spl12_153
| spl12_264 ),
inference(avatar_contradiction_clause,[],[f2238]) ).
fof(f2238,plain,
( $false
| ~ spl12_153
| spl12_264 ),
inference(subsumption_resolution,[],[f2237,f1658]) ).
fof(f1658,plain,
( e23 != h4(e13)
| spl12_264 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f2237,plain,
( e23 = h4(e13)
| ~ spl12_153 ),
inference(backward_demodulation,[],[f288,f1044]) ).
fof(f1044,plain,
( e23 = op2(e23,e23)
| ~ spl12_153 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl12_153
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_153])]) ).
fof(f2234,plain,
( ~ spl12_239
| ~ spl12_249 ),
inference(avatar_split_clause,[],[f2233,f1556,f1481]) ).
fof(f2233,plain,
( e20 != h3(e13)
| ~ spl12_249 ),
inference(forward_demodulation,[],[f1748,f1557]) ).
fof(f1748,plain,
h2(e10) != h3(e13),
inference(forward_demodulation,[],[f1747,f1543]) ).
fof(f1543,plain,
op2(e21,e22) = h2(e10),
inference(forward_demodulation,[],[f312,f246]) ).
fof(f312,plain,
op2(e21,op2(e21,op2(e21,e21))) = h2(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f1747,plain,
op2(e21,e22) != h3(e13),
inference(forward_demodulation,[],[f170,f305]) ).
fof(f170,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f2228,plain,
( ~ spl12_46
| ~ spl12_248 ),
inference(avatar_contradiction_clause,[],[f2227]) ).
fof(f2227,plain,
( $false
| ~ spl12_46
| ~ spl12_248 ),
inference(subsumption_resolution,[],[f2226,f249]) ).
fof(f249,plain,
e21 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f2226,plain,
( e21 = e22
| ~ spl12_46
| ~ spl12_248 ),
inference(forward_demodulation,[],[f2224,f574]) ).
fof(f574,plain,
( e21 = op2(e21,e23)
| ~ spl12_46 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl12_46
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
fof(f2223,plain,
( ~ spl12_2
| ~ spl12_249 ),
inference(avatar_contradiction_clause,[],[f2222]) ).
fof(f2222,plain,
( $false
| ~ spl12_2
| ~ spl12_249 ),
inference(subsumption_resolution,[],[f2221,f389]) ).
fof(f389,plain,
( e20 = op2(e21,e20)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl12_2
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f2221,plain,
( e20 != op2(e21,e20)
| ~ spl12_249 ),
inference(forward_demodulation,[],[f1545,f1557]) ).
fof(f1545,plain,
op2(e21,e20) != h2(e10),
inference(backward_demodulation,[],[f134,f1543]) ).
fof(f134,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f2191,plain,
( ~ spl12_4
| ~ spl12_204 ),
inference(avatar_contradiction_clause,[],[f2190]) ).
fof(f2190,plain,
( $false
| ~ spl12_4
| ~ spl12_204 ),
inference(subsumption_resolution,[],[f2189,f250]) ).
fof(f250,plain,
e20 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f2189,plain,
( e20 = e22
| ~ spl12_4
| ~ spl12_204 ),
inference(forward_demodulation,[],[f2188,f397]) ).
fof(f2188,plain,
( e22 = op2(e21,e22)
| ~ spl12_204 ),
inference(forward_demodulation,[],[f378,f1291]) ).
fof(f1291,plain,
( e21 = unit2
| ~ spl12_204 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1289,plain,
( spl12_204
<=> e21 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_204])]) ).
fof(f2174,plain,
( ~ spl12_133
| ~ spl12_103 ),
inference(avatar_split_clause,[],[f2173,f819,f946]) ).
fof(f819,plain,
( spl12_103
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_103])]) ).
fof(f2173,plain,
( e21 != op2(e20,e21)
| ~ spl12_103 ),
inference(forward_demodulation,[],[f141,f821]) ).
fof(f821,plain,
( e21 = op2(e22,e21)
| ~ spl12_103 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f141,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2137,plain,
( ~ spl12_75
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f2136,f752,f694]) ).
fof(f752,plain,
( spl12_88
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
fof(f2136,plain,
( e20 != op2(e22,e21)
| ~ spl12_88 ),
inference(forward_demodulation,[],[f169,f754]) ).
fof(f754,plain,
( e20 = op2(e22,e23)
| ~ spl12_88 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f169,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2117,plain,
( ~ spl12_127
| ~ spl12_179 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2116,plain,
( $false
| ~ spl12_127
| ~ spl12_179 ),
inference(subsumption_resolution,[],[f2115,f248]) ).
fof(f2115,plain,
( e21 = e23
| ~ spl12_127
| ~ spl12_179 ),
inference(forward_demodulation,[],[f1168,f922]) ).
fof(f1168,plain,
( e23 = op2(e23,e22)
| ~ spl12_179 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1166,plain,
( spl12_179
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_179])]) ).
fof(f2089,plain,
( spl12_279
| ~ spl12_94 ),
inference(avatar_split_clause,[],[f2088,f779,f1792]) ).
fof(f779,plain,
( spl12_94
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_94])]) ).
fof(f2088,plain,
( e21 = h3(e13)
| ~ spl12_94 ),
inference(forward_demodulation,[],[f305,f780]) ).
fof(f780,plain,
( e21 = op2(e22,e22)
| ~ spl12_94 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f2070,plain,
( spl12_225
| ~ spl12_96 ),
inference(avatar_split_clause,[],[f2069,f787,f1402]) ).
fof(f787,plain,
( spl12_96
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).
fof(f2069,plain,
( e21 = h4(e13)
| ~ spl12_96 ),
inference(backward_demodulation,[],[f288,f788]) ).
fof(f788,plain,
( e21 = op2(e23,e23)
| ~ spl12_96 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1994,plain,
( ~ spl12_151
| ~ spl12_251 ),
inference(avatar_contradiction_clause,[],[f1993]) ).
fof(f1993,plain,
( $false
| ~ spl12_151
| ~ spl12_251 ),
inference(subsumption_resolution,[],[f1992,f319]) ).
fof(f1992,plain,
( e10 = e11
| ~ spl12_151
| ~ spl12_251 ),
inference(forward_demodulation,[],[f1982,f1034]) ).
fof(f1982,plain,
( e11 = op1(e11,e12)
| ~ spl12_251 ),
inference(backward_demodulation,[],[f295,f1568]) ).
fof(f1568,plain,
( e12 = unit1
| ~ spl12_251 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f1566,plain,
( spl12_251
<=> e12 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_251])]) ).
fof(f295,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f1910,plain,
( ~ spl12_7
| ~ spl12_147 ),
inference(avatar_split_clause,[],[f1906,f1013,f409]) ).
fof(f1013,plain,
( spl12_147
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_147])]) ).
fof(f1906,plain,
( e12 != op1(e11,e13)
| ~ spl12_147 ),
inference(backward_demodulation,[],[f187,f1015]) ).
fof(f1015,plain,
( e12 = op1(e10,e13)
| ~ spl12_147 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f187,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f1900,plain,
( spl12_249
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f1899,f395,f1556]) ).
fof(f1899,plain,
( e20 = h2(e10)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f1543,f397]) ).
fof(f1897,plain,
( ~ spl12_249
| ~ spl12_212 ),
inference(avatar_split_clause,[],[f1889,f1337,f1556]) ).
fof(f1337,plain,
( spl12_212
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_212])]) ).
fof(f1889,plain,
( e20 != h2(e10)
| ~ spl12_212 ),
inference(backward_demodulation,[],[f1547,f1339]) ).
fof(f1339,plain,
( e20 = op2(e23,e22)
| ~ spl12_212 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1547,plain,
op2(e23,e22) != h2(e10),
inference(backward_demodulation,[],[f171,f1543]) ).
fof(f171,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f1886,plain,
( spl12_248
| ~ spl12_81 ),
inference(avatar_split_clause,[],[f1883,f719,f1549]) ).
fof(f1883,plain,
( e23 = h2(e13)
| ~ spl12_81 ),
inference(backward_demodulation,[],[f311,f721]) ).
fof(f1843,plain,
( ~ spl12_236
| ~ spl12_47 ),
inference(avatar_split_clause,[],[f1840,f576,f1457]) ).
fof(f1457,plain,
( spl12_236
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_236])]) ).
fof(f1840,plain,
( e21 != op2(e23,e20)
| ~ spl12_47 ),
inference(backward_demodulation,[],[f137,f578]) ).
fof(f137,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f8]) ).
fof(f1834,plain,
( ~ spl12_215
| ~ spl12_143 ),
inference(avatar_split_clause,[],[f1826,f993,f1350]) ).
fof(f993,plain,
( spl12_143
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_143])]) ).
fof(f1826,plain,
( e13 != op1(e10,e13)
| ~ spl12_143 ),
inference(backward_demodulation,[],[f224,f995]) ).
fof(f995,plain,
( e13 = op1(e12,e13)
| ~ spl12_143 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f224,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f1810,plain,
( spl12_46
| ~ spl12_203 ),
inference(avatar_split_clause,[],[f1798,f1285,f572]) ).
fof(f1285,plain,
( spl12_203
<=> e23 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_203])]) ).
fof(f1798,plain,
( e21 = op2(e21,e23)
| ~ spl12_203 ),
inference(backward_demodulation,[],[f374,f1287]) ).
fof(f1287,plain,
( e23 = unit2
| ~ spl12_203 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1785,plain,
( spl12_159
| spl12_160
| spl12_131
| spl12_200 ),
inference(avatar_split_clause,[],[f328,f1271,f937,f1074,f1069]) ).
fof(f328,plain,
( e10 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e11 = op1(e12,e10)
| e13 = op1(e12,e10) )
& ( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( op1(e10,e10) = e11
| op1(e10,e10) = e13
| op1(e10,e10) = e12
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e11)
| e13 = op1(e10,e11)
| e11 = op1(e10,e11)
| e12 = op1(e10,e11) )
& ( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) )
& ( e13 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e13,e13)
| e11 = op1(e13,e13)
| e12 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10)
| e11 = op1(e11,e10) )
& ( e11 = op1(e11,e12)
| e10 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e10 = op1(e13,e12)
| e11 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12) )
& ( e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e10 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1766,plain,
spl12_126,
inference(avatar_split_clause,[],[f313,f915]) ).
fof(f313,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f1704,plain,
spl12_209,
inference(avatar_split_clause,[],[f1703,f1312]) ).
fof(f1703,plain,
e22 = h2(e12),
inference(forward_demodulation,[],[f314,f246]) ).
fof(f314,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1637,plain,
( spl12_148
| spl12_141
| spl12_143
| spl12_208 ),
inference(avatar_split_clause,[],[f338,f1306,f993,f982,f1017]) ).
fof(f338,plain,
( e10 = op1(e12,e13)
| e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1581,plain,
( spl12_251
| spl12_252
| spl12_253
| spl12_254 ),
inference(avatar_split_clause,[],[f297,f1578,f1574,f1570,f1566]) ).
fof(f297,plain,
( e11 = unit1
| e10 = unit1
| e13 = unit1
| e12 = unit1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1559,plain,
( ~ spl12_249
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f96,f460,f1556]) ).
fof(f460,plain,
( spl12_19
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f96,plain,
( ~ sP4
| e20 != h2(e10) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e12)
& e20 != h2(e11) )
| ~ sP4 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e12)
& e20 != h2(e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1552,plain,
( ~ spl12_32
| ~ spl12_35
| ~ spl12_30
| ~ spl12_24
| ~ spl12_38
| ~ spl12_29
| ~ spl12_37
| ~ spl12_248
| ~ spl12_33
| ~ spl12_36
| spl12_19
| ~ spl12_27
| spl12_25
| ~ spl12_34
| ~ spl12_23
| ~ spl12_28
| ~ spl12_21
| spl12_20
| ~ spl12_31
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f120,f488,f508,f464,f468,f496,f476,f520,f484,f492,f460,f528,f516,f1549,f532,f500,f536,f480,f504,f524,f512]) ).
fof(f484,plain,
( spl12_25
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f464,plain,
( spl12_20
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f120,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP3
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| sP5
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP4
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| e23 != h2(e13)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| ( e23 != h4(e10)
& e23 != h4(e12)
& e23 != h4(e13)
& e23 != h4(e11) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP11
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP10
| sP9
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) )
& ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e12) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP8
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| sP7
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP6
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) )
& ( ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e12) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP5
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| sP4
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| sP3
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) )
& ( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e11)
& e23 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP2
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| sP1
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ) ),
inference(definition_folding,[],[f22,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25]) ).
fof(f25,plain,
( ( e22 != h1(e12)
& e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f26,plain,
( ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f27,plain,
( ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f28,plain,
( ( e21 != h2(e13)
& e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f30,plain,
( ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f31,plain,
( ( e20 != h3(e11)
& e20 != h3(e10)
& e20 != h3(e12)
& e20 != h3(e13) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f32,plain,
( ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f33,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f34,plain,
( ( e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f35,plain,
( ( e22 != h4(e11)
& e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f36,plain,
( ( e21 != h4(e10)
& e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| ( e23 != h4(e10)
& e23 != h4(e12)
& e23 != h4(e13)
& e23 != h4(e11) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e21 != h4(e10)
& e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11) )
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e22 != h4(e11)
& e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12) )
| ( e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12) )
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) )
& ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e12) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12) )
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e10) )
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| ( e20 != h3(e11)
& e20 != h3(e10)
& e20 != h3(e12)
& e20 != h3(e13) )
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) )
& ( ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e12) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e10) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e12)
& e20 != h2(e11) )
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| ( e21 != h2(e13)
& e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11) )
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) )
& ( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e11)
& e23 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e22 != h1(e12)
& e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e10) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ( ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& ( e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e12)
| e21 = h1(e11) )
& ( e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e13)
| e23 = h1(e11) )
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13) )
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) )
| ( h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e13) )
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& ( e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12) )
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) )
| ( h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( e23 = h4(e13)
| e23 = h4(e10)
| e23 = h4(e11)
| e23 = h4(e12) )
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e21 = h4(e10)
| e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e10)
| e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e12) )
& ( e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e13) )
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
| ( ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11) )
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e10) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e12) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
( ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& ( e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e12)
| e21 = h1(e11) )
& ( e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e13)
| e23 = h1(e11) )
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13) )
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) )
| ( h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e13) )
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& ( e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12) )
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) )
| ( h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( e23 = h4(e13)
| e23 = h4(e10)
| e23 = h4(e11)
| e23 = h4(e12) )
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e21 = h4(e10)
| e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e10)
| e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e12) )
& ( e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e13) )
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
| ( ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11) )
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e10) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e12) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1534,plain,
( spl12_170
| spl12_215
| spl12_222
| spl12_147 ),
inference(avatar_split_clause,[],[f330,f1013,f1386,f1350,f1123]) ).
fof(f330,plain,
( e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1533,plain,
( spl12_79
| spl12_221
| spl12_76
| spl12_246 ),
inference(avatar_split_clause,[],[f50,f1530,f698,f1379,f711]) ).
fof(f50,plain,
( e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e20 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e22 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e22 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e21 = op2(e23,e20) )
& ( e21 = op2(e22,e20)
| e20 = op2(e22,e20)
| e23 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21)
| e23 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( op2(e20,e20) = e21
| op2(e20,e20) = e23
| op2(e20,e20) = e22
| e20 = op2(e20,e20) )
& ( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e23 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1521,plain,
( spl12_244
| spl12_146
| spl12_94
| spl12_124 ),
inference(avatar_split_clause,[],[f52,f906,f779,f1006,f1518]) ).
fof(f52,plain,
( e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1516,plain,
( spl12_96
| spl12_236
| spl12_221
| spl12_127 ),
inference(avatar_split_clause,[],[f279,f920,f1379,f1457,f787]) ).
fof(f279,plain,
( e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( ( e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21) )
& ( e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) )
& ( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23) )
& ( op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21) )
& ( e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| e20 = op2(e23,e23) )
& ( e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e21,e21)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) )
& ( e23 = op2(e20,e22)
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e23) )
& ( e21 = op2(e23,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21) )
& ( e21 = op2(e21,e20)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21) )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22
| e22 = op2(e21,e20) )
& ( e22 = op2(e21,e21)
| e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21) )
& ( e22 = op2(e23,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e20,e23) )
& ( e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e23)
| e23 = op2(e23,e20) )
& ( e20 = op2(e21,e20)
| e20 = op2(e20,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) )
& ( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) )
& ( e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23)
| e21 = op2(e20,e23) )
& ( e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e23) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e22,e20) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21) )
& ( e20 = op2(e22,e23)
| e20 = op2(e20,e23)
| e20 = op2(e23,e23)
| e20 = op2(e21,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f1490,plain,
( spl12_103
| spl12_75
| spl12_123
| spl12_80 ),
inference(avatar_split_clause,[],[f56,f715,f902,f694,f819]) ).
fof(f56,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1415,plain,
( spl12_226
| spl12_142
| spl12_89
| spl12_227 ),
inference(avatar_split_clause,[],[f63,f1412,f756,f988,f1408]) ).
fof(f63,plain,
( e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1389,plain,
( spl12_208
| spl12_168
| spl12_199
| spl12_222 ),
inference(avatar_split_clause,[],[f347,f1386,f1267,f1114,f1306]) ).
fof(f347,plain,
( e10 = op1(e10,e13)
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e11 = op1(e11,e12)
| e11 = op1(e10,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) )
& ( e13 = op1(e11,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) )
& ( e10 = op1(e11,e11)
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11) )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12
| e12 = op1(e10,e12) )
& ( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) )
& ( e11 = op1(e10,e12)
| op1(e10,e10) = e11
| e11 = op1(e10,e13)
| e11 = op1(e10,e11) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e13)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e10,e13)
| e11 = op1(e11,e13) )
& ( e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12) )
& ( e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) )
& ( e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12) )
& ( e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10)
| e11 = op1(e13,e13) )
& ( e12 = op1(e13,e11)
| e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| e12 = op1(e13,e12) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e13,e12)
| e10 = op1(e10,e12) )
& ( e11 = op1(e10,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e11) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10)
| e11 = op1(e12,e11) )
& ( e13 = op1(e12,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e10,e11)
| e13 = op1(e13,e11) )
& ( e10 = op1(e10,e10)
| e10 = op1(e10,e13)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e10,e12)
| e12 = op1(e13,e12)
| e12 = op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 = op1(e12,e13)
| e12 = op1(e12,e10)
| e12 = op1(e12,e11) )
& ( e10 = op1(e12,e10)
| e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13)
| e12 = op1(e11,e13) )
& ( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e10,e13)
| e10 = op1(e13,e13)
| e10 = op1(e11,e13) )
& ( e10 = op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11) )
& ( e11 = op1(e11,e10)
| e11 = op1(e13,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10) )
& ( e10 = op1(e12,e12)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13)
| e10 = op1(e12,e11) )
& ( e13 = op1(e13,e11)
| e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10) )
& ( e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10)
| e12 = op1(e11,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1344,plain,
( spl12_87
| spl12_212
| spl12_76
| spl12_213 ),
inference(avatar_split_clause,[],[f276,f1341,f698,f1337,f748]) ).
fof(f276,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1334,plain,
( spl12_211
| spl12_47
| spl12_2
| spl12_11 ),
inference(avatar_split_clause,[],[f53,f426,f387,f576,f1331]) ).
fof(f53,plain,
( e23 = op2(e21,e20)
| e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1316,plain,
( spl12_165
| spl12_140
| spl12_144
| spl12_202 ),
inference(avatar_split_clause,[],[f329,f1280,f997,f978,f1096]) ).
fof(f329,plain,
( e10 = op1(e12,e11)
| e13 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1315,plain,
( ~ spl12_25
| ~ spl12_209 ),
inference(avatar_split_clause,[],[f93,f1312,f484]) ).
fof(f93,plain,
( e22 != h2(e12)
| ~ sP5 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1300,plain,
( spl12_203
| spl12_204
| spl12_205
| spl12_206 ),
inference(avatar_split_clause,[],[f379,f1297,f1293,f1289,f1285]) ).
fof(f379,plain,
( e22 = unit2
| e20 = unit2
| e21 = unit2
| e23 = unit2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f1259,plain,
spl12_4,
inference(avatar_split_clause,[],[f1258,f395]) ).
fof(f1258,plain,
e20 = op2(e21,e22),
inference(backward_demodulation,[],[f247,f246]) ).
fof(f247,plain,
e20 = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[],[f15]) ).
fof(f1257,plain,
( spl12_175
| spl12_150
| spl12_48
| spl12_180 ),
inference(avatar_split_clause,[],[f364,f1171,f581,f1028,f1145]) ).
fof(f364,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1256,plain,
spl12_151,
inference(avatar_split_clause,[],[f1255,f1032]) ).
fof(f1255,plain,
e10 = op1(e11,e12),
inference(backward_demodulation,[],[f178,f179]) ).
fof(f178,plain,
e10 = op1(e11,op1(e11,op1(e11,e11))),
inference(cnf_transformation,[],[f14]) ).
fof(f1169,plain,
( spl12_153
| spl12_14
| spl12_79
| spl12_179 ),
inference(avatar_split_clause,[],[f265,f1166,f711,f438,f1043]) ).
fof(f265,plain,
( e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1099,plain,
( spl12_9
| spl12_161
| spl12_164
| spl12_165 ),
inference(avatar_split_clause,[],[f363,f1096,f1092,f1078,f417]) ).
fof(f363,plain,
( e12 = op1(e12,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1026,plain,
spl12_50,
inference(avatar_split_clause,[],[f180,f589]) ).
fof(f180,plain,
e13 = op1(e11,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f1025,plain,
spl12_81,
inference(avatar_split_clause,[],[f245,f719]) ).
fof(f245,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f1000,plain,
( spl12_143
| spl12_130
| spl12_86
| spl12_144 ),
inference(avatar_split_clause,[],[f368,f997,f743,f933,f993]) ).
fof(f368,plain,
( e13 = op1(e12,e11)
| e13 = op1(e12,e10)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f918,plain,
( ~ spl12_126
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f98,f464,f915]) ).
fof(f98,plain,
( ~ sP3
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e21 != h2(e13)
& e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11) )
| ~ sP3 ),
inference(nnf_transformation,[],[f28]) ).
fof(f772,plain,
( spl12_90
| spl12_91
| spl12_92
| spl12_88 ),
inference(avatar_split_clause,[],[f62,f752,f769,f765,f761]) ).
fof(f62,plain,
( e20 = op2(e22,e23)
| e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 14:51:52 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.42 % (6037)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.42 % (6051)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.17/0.43 % (6035)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.43 % (6055)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.43 % (6036)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.17/0.43 % (6059)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.17/0.43 % (6041)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.17/0.44 % (6059)Instruction limit reached!
% 0.17/0.44 % (6059)------------------------------
% 0.17/0.44 % (6059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.44 % (6032)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.44 % (6034)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.44 % (6047)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.44 % (6030)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.17/0.44 % (6033)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.44 % (6033)Instruction limit reached!
% 0.17/0.44 % (6033)------------------------------
% 0.17/0.44 % (6033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.44 % (6033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.44 % (6033)Termination reason: Unknown
% 0.17/0.44 % (6033)Termination phase: Preprocessing 3
% 0.17/0.44
% 0.17/0.44 % (6033)Memory used [KB]: 1535
% 0.17/0.44 % (6033)Time elapsed: 0.004 s
% 0.17/0.44 % (6033)Instructions burned: 4 (million)
% 0.17/0.44 % (6033)------------------------------
% 0.17/0.44 % (6033)------------------------------
% 0.17/0.44 % (6056)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.17/0.44 % (6039)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.17/0.45 % (6057)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.45 % (6045)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.45 % (6032)Instruction limit reached!
% 0.17/0.45 % (6032)------------------------------
% 0.17/0.45 % (6032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45 % (6041)Instruction limit reached!
% 0.17/0.45 % (6041)------------------------------
% 0.17/0.45 % (6041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45 % (6059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6059)Termination reason: Unknown
% 0.17/0.45 % (6059)Termination phase: Property scanning
% 0.17/0.45
% 0.17/0.45 % (6059)Memory used [KB]: 1663
% 0.17/0.45 % (6059)Time elapsed: 0.004 s
% 0.17/0.45 % (6059)Instructions burned: 8 (million)
% 0.17/0.45 % (6059)------------------------------
% 0.17/0.45 % (6059)------------------------------
% 0.17/0.45 % (6041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6041)Termination reason: Unknown
% 0.17/0.45 % (6041)Termination phase: Property scanning
% 0.17/0.45
% 0.17/0.45 % (6041)Memory used [KB]: 1791
% 0.17/0.45 % (6041)Time elapsed: 0.006 s
% 0.17/0.45 % (6041)Instructions burned: 15 (million)
% 0.17/0.45 % (6041)------------------------------
% 0.17/0.45 % (6041)------------------------------
% 0.17/0.45 % (6035)Instruction limit reached!
% 0.17/0.45 % (6035)------------------------------
% 0.17/0.45 % (6035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45 % (6035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6035)Termination reason: Unknown
% 0.17/0.45 % (6035)Termination phase: Property scanning
% 0.17/0.45
% 0.17/0.45 % (6035)Memory used [KB]: 1918
% 0.17/0.45 % (6035)Time elapsed: 0.006 s
% 0.17/0.45 % (6035)Instructions burned: 14 (million)
% 0.17/0.45 % (6035)------------------------------
% 0.17/0.45 % (6035)------------------------------
% 0.17/0.45 % (6036)Instruction limit reached!
% 0.17/0.45 % (6036)------------------------------
% 0.17/0.45 % (6036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45 % (6036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6036)Termination reason: Unknown
% 0.17/0.45 % (6036)Termination phase: Saturation
% 0.17/0.45
% 0.17/0.45 % (6036)Memory used [KB]: 1918
% 0.17/0.45 % (6036)Time elapsed: 0.012 s
% 0.17/0.45 % (6036)Instructions burned: 16 (million)
% 0.17/0.45 % (6036)------------------------------
% 0.17/0.45 % (6036)------------------------------
% 0.17/0.45 % (6050)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.17/0.45 % (6046)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.45 % (6060)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.17/0.45 % (6058)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.45 % (6054)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.17/0.45 % (6032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6032)Termination reason: Unknown
% 0.17/0.45 % (6032)Termination phase: Saturation
% 0.17/0.45
% 0.17/0.45 % (6032)Memory used [KB]: 1663
% 0.17/0.45 % (6032)Time elapsed: 0.008 s
% 0.17/0.45 % (6032)Instructions burned: 13 (million)
% 0.17/0.45 % (6052)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.45 % (6032)------------------------------
% 0.17/0.45 % (6032)------------------------------
% 0.17/0.45 % (6051)Instruction limit reached!
% 0.17/0.45 % (6051)------------------------------
% 0.17/0.45 % (6051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45 % (6051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6051)Termination reason: Unknown
% 0.17/0.45 % (6051)Termination phase: Property scanning
% 0.17/0.45
% 0.17/0.45 % (6051)Memory used [KB]: 1918
% 0.17/0.45 % (6051)Time elapsed: 0.011 s
% 0.17/0.45 % (6051)Instructions burned: 31 (million)
% 0.17/0.45 % (6051)------------------------------
% 0.17/0.45 % (6051)------------------------------
% 0.17/0.45 % (6042)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.45 % (6049)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.45 % (6049)Instruction limit reached!
% 0.17/0.45 % (6049)------------------------------
% 0.17/0.45 % (6049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45 % (6049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45 % (6049)Termination reason: Unknown
% 0.17/0.45 % (6049)Termination phase: Preprocessing 2
% 0.17/0.45
% 0.17/0.45 % (6049)Memory used [KB]: 1535
% 0.17/0.45 % (6049)Time elapsed: 0.002 s
% 0.17/0.45 % (6049)Instructions burned: 4 (million)
% 0.17/0.45 % (6049)------------------------------
% 0.17/0.45 % (6049)------------------------------
% 0.17/0.45 % (6040)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.17/0.46 % (6048)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.46 % (6048)Instruction limit reached!
% 0.17/0.46 % (6048)------------------------------
% 0.17/0.46 % (6048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (6048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (6048)Termination reason: Unknown
% 0.17/0.46 % (6048)Termination phase: Property scanning
% 0.17/0.46
% 0.17/0.46 % (6048)Memory used [KB]: 1663
% 0.17/0.46 % (6048)Time elapsed: 0.004 s
% 0.17/0.46 % (6048)Instructions burned: 5 (million)
% 0.17/0.46 % (6048)------------------------------
% 0.17/0.46 % (6048)------------------------------
% 0.17/0.46 % (6043)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.46 % (6053)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.17/0.46 % (6046)Instruction limit reached!
% 0.17/0.46 % (6046)------------------------------
% 0.17/0.46 % (6046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (6046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (6046)Termination reason: Unknown
% 0.17/0.46 % (6046)Termination phase: Property scanning
% 0.17/0.46
% 0.17/0.46 % (6046)Memory used [KB]: 1663
% 0.17/0.46 % (6046)Time elapsed: 0.005 s
% 0.17/0.46 % (6046)Instructions burned: 8 (million)
% 0.17/0.46 % (6046)------------------------------
% 0.17/0.46 % (6046)------------------------------
% 0.17/0.46 % (6038)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.46 % (6045)Instruction limit reached!
% 0.17/0.46 % (6045)------------------------------
% 0.17/0.46 % (6045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (6045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (6045)Termination reason: Unknown
% 0.17/0.46 % (6045)Termination phase: Property scanning
% 0.17/0.46
% 0.17/0.46 % (6045)Memory used [KB]: 1663
% 0.17/0.46 % (6045)Time elapsed: 0.004 s
% 0.17/0.46 % (6045)Instructions burned: 5 (million)
% 0.17/0.46 % (6045)------------------------------
% 0.17/0.46 % (6045)------------------------------
% 0.17/0.47 % (6044)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.47 % (6055)Refutation not found, incomplete strategy% (6055)------------------------------
% 0.17/0.47 % (6055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47 % (6055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47 % (6055)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.47
% 0.17/0.47 % (6055)Memory used [KB]: 7164
% 0.17/0.47 % (6055)Time elapsed: 0.113 s
% 0.17/0.47 % (6055)Instructions burned: 35 (million)
% 0.17/0.47 % (6055)------------------------------
% 0.17/0.47 % (6055)------------------------------
% 0.17/0.47 % (6050)Instruction limit reached!
% 0.17/0.47 % (6050)------------------------------
% 0.17/0.47 % (6050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47 % (6050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47 % (6050)Termination reason: Unknown
% 0.17/0.47 % (6050)Termination phase: Property scanning
% 0.17/0.47
% 0.17/0.47 % (6050)Memory used [KB]: 1663
% 0.17/0.47 % (6050)Time elapsed: 0.006 s
% 0.17/0.47 % (6050)Instructions burned: 12 (million)
% 0.17/0.47 % (6050)------------------------------
% 0.17/0.47 % (6050)------------------------------
% 0.17/0.48 % (6042)Instruction limit reached!
% 0.17/0.48 % (6042)------------------------------
% 0.17/0.48 % (6042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (6042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48 % (6042)Termination reason: Unknown
% 0.17/0.48 % (6042)Termination phase: Property scanning
% 0.17/0.48
% 0.17/0.48 % (6042)Memory used [KB]: 1663
% 0.17/0.48 % (6042)Time elapsed: 0.005 s
% 0.17/0.48 % (6042)Instructions burned: 9 (million)
% 0.17/0.48 % (6042)------------------------------
% 0.17/0.48 % (6042)------------------------------
% 0.17/0.48 % (6060)Instruction limit reached!
% 0.17/0.48 % (6060)------------------------------
% 0.17/0.48 % (6060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (6060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48 % (6060)Termination reason: Unknown
% 0.17/0.48 % (6060)Termination phase: Property scanning
% 0.17/0.48
% 0.17/0.48 % (6060)Memory used [KB]: 1918
% 0.17/0.48 % (6060)Time elapsed: 0.009 s
% 0.17/0.48 % (6060)Instructions burned: 25 (million)
% 0.17/0.48 % (6060)------------------------------
% 0.17/0.48 % (6060)------------------------------
% 0.17/0.48 % (6043)Instruction limit reached!
% 0.17/0.48 % (6043)------------------------------
% 0.17/0.48 % (6043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (6043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48 % (6043)Termination reason: Unknown
% 0.17/0.48 % (6043)Termination phase: Property scanning
% 0.17/0.48
% 0.17/0.48 % (6043)Memory used [KB]: 1791
% 0.17/0.48 % (6043)Time elapsed: 0.007 s
% 0.17/0.48 % (6043)Instructions burned: 18 (million)
% 0.17/0.48 % (6043)------------------------------
% 0.17/0.48 % (6043)------------------------------
% 0.17/0.49 % (6037)Instruction limit reached!
% 0.17/0.49 % (6037)------------------------------
% 0.17/0.49 % (6037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (6037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (6037)Termination reason: Unknown
% 0.17/0.49 % (6037)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (6037)Memory used [KB]: 7036
% 0.17/0.49 % (6037)Time elapsed: 0.116 s
% 0.17/0.49 % (6037)Instructions burned: 41 (million)
% 0.17/0.49 % (6037)------------------------------
% 0.17/0.49 % (6037)------------------------------
% 0.17/0.49 % (6058)Instruction limit reached!
% 0.17/0.49 % (6058)------------------------------
% 0.17/0.49 % (6058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (6058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (6058)Termination reason: Unknown
% 0.17/0.49 % (6058)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (6058)Memory used [KB]: 6780
% 0.17/0.49 % (6058)Time elapsed: 0.113 s
% 0.17/0.49 % (6058)Instructions burned: 26 (million)
% 0.17/0.49 % (6058)------------------------------
% 0.17/0.49 % (6058)------------------------------
% 0.17/0.49 % (6047)Instruction limit reached!
% 0.17/0.49 % (6047)------------------------------
% 0.17/0.49 % (6047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (6047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (6047)Termination reason: Unknown
% 0.17/0.49 % (6047)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (6047)Memory used [KB]: 6908
% 0.17/0.49 % (6047)Time elapsed: 0.027 s
% 0.17/0.49 % (6047)Instructions burned: 52 (million)
% 0.17/0.49 % (6047)------------------------------
% 0.17/0.49 % (6047)------------------------------
% 0.17/0.50 % (6039)Instruction limit reached!
% 0.17/0.50 % (6039)------------------------------
% 0.17/0.50 % (6039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (6039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (6039)Termination reason: Unknown
% 0.17/0.50 % (6039)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (6039)Memory used [KB]: 6780
% 0.17/0.50 % (6039)Time elapsed: 0.020 s
% 0.17/0.50 % (6039)Instructions burned: 49 (million)
% 0.17/0.50 % (6039)------------------------------
% 0.17/0.50 % (6039)------------------------------
% 0.17/0.50 % (6040)Instruction limit reached!
% 0.17/0.50 % (6040)------------------------------
% 0.17/0.50 % (6040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (6040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (6040)Termination reason: Unknown
% 0.17/0.50 % (6040)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (6040)Memory used [KB]: 6652
% 0.17/0.50 % (6040)Time elapsed: 0.015 s
% 0.17/0.50 % (6040)Instructions burned: 34 (million)
% 0.17/0.50 % (6040)------------------------------
% 0.17/0.50 % (6040)------------------------------
% 0.17/0.51 % (6034)Instruction limit reached!
% 0.17/0.51 % (6034)------------------------------
% 0.17/0.51 % (6034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (6034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (6034)Termination reason: Unknown
% 0.17/0.51 % (6034)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (6034)Memory used [KB]: 6780
% 0.17/0.51 % (6034)Time elapsed: 0.027 s
% 0.17/0.51 % (6034)Instructions burned: 53 (million)
% 0.17/0.51 % (6034)------------------------------
% 0.17/0.51 % (6034)------------------------------
% 0.17/0.51 % (6054)Instruction limit reached!
% 0.17/0.51 % (6054)------------------------------
% 0.17/0.51 % (6054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (6054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (6054)Termination reason: Unknown
% 0.17/0.51 % (6054)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (6054)Memory used [KB]: 2174
% 0.17/0.51 % (6054)Time elapsed: 0.022 s
% 0.17/0.51 % (6054)Instructions burned: 45 (million)
% 0.17/0.51 % (6054)------------------------------
% 0.17/0.51 % (6054)------------------------------
% 0.17/0.52 % (6038)Instruction limit reached!
% 0.17/0.52 % (6038)------------------------------
% 0.17/0.52 % (6038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (6038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (6038)Termination reason: Unknown
% 0.17/0.52 % (6038)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (6038)Memory used [KB]: 6780
% 0.17/0.52 % (6038)Time elapsed: 0.018 s
% 0.17/0.52 % (6038)Instructions burned: 39 (million)
% 0.17/0.52 % (6038)------------------------------
% 0.17/0.52 % (6038)------------------------------
% 0.17/0.52 % (6044)Instruction limit reached!
% 0.17/0.52 % (6044)------------------------------
% 0.17/0.52 % (6044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (6044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (6044)Termination reason: Unknown
% 0.17/0.52 % (6044)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (6044)Memory used [KB]: 6908
% 0.17/0.52 % (6044)Time elapsed: 0.022 s
% 0.17/0.52 % (6044)Instructions burned: 53 (million)
% 0.17/0.52 % (6044)------------------------------
% 0.17/0.52 % (6044)------------------------------
% 0.17/0.53 % (6119)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 0.17/0.53 % (6053)Instruction limit reached!
% 0.17/0.53 % (6053)------------------------------
% 0.17/0.53 % (6053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (6053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (6053)Termination reason: Unknown
% 0.17/0.53 % (6053)Termination phase: Property scanning
% 0.17/0.53
% 0.17/0.53 % (6053)Memory used [KB]: 1918
% 0.17/0.53 % (6053)Time elapsed: 0.024 s
% 0.17/0.53 % (6053)Instructions burned: 84 (million)
% 0.17/0.53 % (6053)------------------------------
% 0.17/0.53 % (6053)------------------------------
% 0.17/0.54 % (6052)Refutation not found, incomplete strategy% (6052)------------------------------
% 0.17/0.54 % (6052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (6052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (6052)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.54
% 0.17/0.54 % (6052)Memory used [KB]: 6780
% 0.17/0.54 % (6052)Time elapsed: 0.184 s
% 0.17/0.54 % (6052)Instructions burned: 66 (million)
% 0.17/0.54 % (6052)------------------------------
% 0.17/0.54 % (6052)------------------------------
% 0.17/0.54 % (6057)Refutation not found, incomplete strategy% (6057)------------------------------
% 0.17/0.54 % (6057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (6057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (6057)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.54
% 0.17/0.54 % (6057)Memory used [KB]: 7036
% 0.17/0.54 % (6057)Time elapsed: 0.190 s
% 0.17/0.54 % (6057)Instructions burned: 64 (million)
% 0.17/0.54 % (6057)------------------------------
% 0.17/0.54 % (6057)------------------------------
% 0.17/0.55 % (6126)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.17/0.55 % (6126)Instruction limit reached!
% 0.17/0.55 % (6126)------------------------------
% 0.17/0.55 % (6126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (6056)First to succeed.
% 0.17/0.56 % (6126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (6126)Termination reason: Unknown
% 0.17/0.56 % (6126)Termination phase: Property scanning
% 0.17/0.56
% 0.17/0.56 % (6126)Memory used [KB]: 1663
% 0.17/0.56 % (6126)Time elapsed: 0.005 s
% 0.17/0.56 % (6126)Instructions burned: 8 (million)
% 0.17/0.56 % (6126)------------------------------
% 0.17/0.56 % (6126)------------------------------
% 1.76/0.56 % (6155)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/109Mi)
% 1.76/0.56 % (6127)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.76/0.57 % (6132)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 1.76/0.57 % (6056)Refutation found. Thanks to Tanya!
% 1.76/0.57 % SZS status Theorem for theBenchmark
% 1.76/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.57 % (6056)------------------------------
% 1.76/0.57 % (6056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.57 % (6056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.57 % (6056)Termination reason: Refutation
% 1.76/0.57
% 1.76/0.57 % (6056)Memory used [KB]: 7931
% 1.76/0.57 % (6056)Time elapsed: 0.048 s
% 1.76/0.57 % (6056)Instructions burned: 88 (million)
% 1.76/0.57 % (6056)------------------------------
% 1.76/0.57 % (6056)------------------------------
% 1.76/0.57 % (6027)Success in time 0.241 s
%------------------------------------------------------------------------------