TSTP Solution File: ALG123+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:53 EDT 2022
% Result : Theorem 2.51s 0.72s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 220
% Syntax : Number of formulae : 929 ( 109 unt; 0 def)
% Number of atoms : 4232 (2739 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 5629 (2326 ~;2223 |; 919 &)
% ( 161 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 205 ( 203 usr; 204 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4269,plain,
$false,
inference(avatar_sat_refutation,[],[f648,f864,f904,f909,f953,f981,f1048,f1169,f1178,f1195,f1244,f1257,f1270,f1296,f1403,f1426,f1438,f1448,f1467,f1490,f1544,f1553,f1563,f1569,f1660,f1661,f1662,f1673,f1678,f1691,f1693,f1721,f1723,f1724,f1745,f1747,f1789,f1801,f1827,f1844,f1866,f1874,f1888,f1890,f1891,f1911,f1913,f1922,f1925,f1948,f1949,f1957,f1960,f1965,f1974,f1994,f2000,f2008,f2012,f2014,f2022,f2025,f2026,f2035,f2036,f2053,f2061,f2062,f2064,f2070,f2076,f2082,f2083,f2086,f2101,f2105,f2108,f2147,f2150,f2152,f2207,f2227,f2232,f2244,f2266,f2331,f2357,f2361,f2368,f2370,f2372,f2381,f2384,f2407,f2420,f2429,f2465,f2474,f2478,f2495,f2496,f2497,f2532,f2538,f2541,f2568,f2579,f2582,f2590,f2595,f2601,f2628,f2631,f2646,f2653,f2655,f2673,f2696,f2705,f2708,f2713,f2769,f2771,f2774,f2780,f2786,f2844,f2847,f2850,f2851,f2854,f2856,f2880,f2882,f2902,f2904,f2906,f2939,f2941,f2950,f2957,f2966,f2977,f2984,f3018,f3020,f3025,f3047,f3059,f3084,f3086,f3111,f3115,f3145,f3215,f3217,f3223,f3231,f3241,f3292,f3311,f3364,f3374,f3403,f3448,f3482,f3492,f3497,f3512,f3609,f3635,f3638,f3685,f3724,f3748,f3806,f3822,f3880,f3889,f3956,f3967,f4025,f4055,f4060,f4095,f4100,f4105,f4156,f4217]) ).
fof(f4217,plain,
( ~ spl42_243
| ~ spl42_255 ),
inference(avatar_contradiction_clause,[],[f4216]) ).
fof(f4216,plain,
( $false
| ~ spl42_243
| ~ spl42_255 ),
inference(subsumption_resolution,[],[f4215,f1759]) ).
fof(f1759,plain,
( e22 = op2(e20,e23)
| ~ spl42_243 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1757,plain,
( spl42_243
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_243])]) ).
fof(f4215,plain,
( e22 != op2(e20,e23)
| ~ spl42_255 ),
inference(forward_demodulation,[],[f498,f1843]) ).
fof(f1843,plain,
( e22 = op2(e21,e23)
| ~ spl42_255 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1841,plain,
( spl42_255
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).
fof(f498,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e21) != op2(e20,e22)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e21,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e22)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e22,e22) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e20) != op2(e22,e21)
& op2(e20,e20) != op2(e20,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e22,e21) != op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f4156,plain,
( ~ spl42_57
| ~ spl42_72
| spl42_209
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f4155,f1675,f1578,f946,f878]) ).
fof(f878,plain,
( spl42_57
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_57])]) ).
fof(f946,plain,
( spl42_72
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).
fof(f1578,plain,
( spl42_209
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f1675,plain,
( spl42_230
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_230])]) ).
fof(f4155,plain,
( e20 != op2(e20,e20)
| ~ spl42_72
| spl42_209
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4154,f1676]) ).
fof(f1676,plain,
( e20 = h4(e10)
| ~ spl42_230 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f4154,plain,
( op2(e20,e20) != h4(e10)
| ~ spl42_72
| spl42_209
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4153,f948]) ).
fof(f948,plain,
( e10 = op1(e10,e10)
| ~ spl42_72 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f4153,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl42_209
| ~ spl42_230 ),
inference(forward_demodulation,[],[f1580,f1676]) ).
fof(f1580,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl42_209 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f4105,plain,
( ~ spl42_227
| spl42_215
| ~ spl42_230
| ~ spl42_233
| ~ spl42_260
| ~ spl42_275 ),
inference(avatar_split_clause,[],[f4104,f2067,f1885,f1697,f1675,f1602,f1657]) ).
fof(f1657,plain,
( spl42_227
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_227])]) ).
fof(f1602,plain,
( spl42_215
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).
fof(f1697,plain,
( spl42_233
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f1885,plain,
( spl42_260
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_260])]) ).
fof(f2067,plain,
( spl42_275
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).
fof(f4104,plain,
( e23 != op2(e20,e22)
| spl42_215
| ~ spl42_230
| ~ spl42_233
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f4103,f1886]) ).
fof(f1886,plain,
( e23 = h4(e13)
| ~ spl42_260 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f4103,plain,
( op2(e20,e22) != h4(e13)
| spl42_215
| ~ spl42_230
| ~ spl42_233
| ~ spl42_275 ),
inference(forward_demodulation,[],[f4102,f1699]) ).
fof(f1699,plain,
( e13 = op1(e10,e12)
| ~ spl42_233 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f4102,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| spl42_215
| ~ spl42_230
| ~ spl42_275 ),
inference(forward_demodulation,[],[f4101,f1676]) ).
fof(f4101,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| spl42_215
| ~ spl42_275 ),
inference(forward_demodulation,[],[f1604,f2068]) ).
fof(f2068,plain,
( e22 = h4(e12)
| ~ spl42_275 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f1604,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl42_215 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f4100,plain,
( ~ spl42_243
| ~ spl42_251 ),
inference(avatar_contradiction_clause,[],[f4099]) ).
fof(f4099,plain,
( $false
| ~ spl42_243
| ~ spl42_251 ),
inference(subsumption_resolution,[],[f4098,f248]) ).
fof(f248,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e23
& e21 != e22
& e21 != e23
& e20 != e22
& e22 != e23
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f4098,plain,
( e22 = e23
| ~ spl42_243
| ~ spl42_251 ),
inference(forward_demodulation,[],[f1818,f1759]) ).
fof(f1818,plain,
( e23 = op2(e20,e23)
| ~ spl42_251 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1816,plain,
( spl42_251
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f4095,plain,
( ~ spl42_46
| ~ spl42_243 ),
inference(avatar_split_clause,[],[f3160,f1757,f831]) ).
fof(f831,plain,
( spl42_46
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_46])]) ).
fof(f3160,plain,
( e22 != op2(e20,e22)
| ~ spl42_243 ),
inference(forward_demodulation,[],[f513,f1759]) ).
fof(f513,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4060,plain,
( ~ spl42_71
| ~ spl42_124 ),
inference(avatar_contradiction_clause,[],[f4059]) ).
fof(f4059,plain,
( $false
| ~ spl42_71
| ~ spl42_124 ),
inference(subsumption_resolution,[],[f4058,f388]) ).
fof(f388,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e13
& e12 != e13
& e10 != e12
& e11 != e12
& e10 != e13
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f4058,plain,
( e10 = e12
| ~ spl42_71
| ~ spl42_124 ),
inference(forward_demodulation,[],[f944,f1173]) ).
fof(f1173,plain,
( e10 = op1(e12,e12)
| ~ spl42_124 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1171,plain,
( spl42_124
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_124])]) ).
fof(f944,plain,
( e12 = op1(e12,e12)
| ~ spl42_71 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl42_71
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).
fof(f4055,plain,
( ~ spl42_126
| ~ spl42_247 ),
inference(avatar_split_clause,[],[f4054,f1792,f1180]) ).
fof(f1180,plain,
( spl42_126
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).
fof(f1792,plain,
( spl42_247
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_247])]) ).
fof(f4054,plain,
( e11 != op1(e11,e12)
| ~ spl42_247 ),
inference(forward_demodulation,[],[f377,f1793]) ).
fof(f1793,plain,
( e11 = op1(e11,e10)
| ~ spl42_247 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f377,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e11,e13) != op1(e12,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e12) != op1(e12,e12)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e10,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e11) != op1(e13,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4025,plain,
( ~ spl42_68
| spl42_225
| ~ spl42_230
| ~ spl42_247 ),
inference(avatar_contradiction_clause,[],[f4024]) ).
fof(f4024,plain,
( $false
| ~ spl42_68
| spl42_225
| ~ spl42_230
| ~ spl42_247 ),
inference(subsumption_resolution,[],[f4023,f930]) ).
fof(f930,plain,
( e21 = op2(e21,e20)
| ~ spl42_68 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f929,plain,
( spl42_68
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).
fof(f4023,plain,
( e21 != op2(e21,e20)
| spl42_225
| ~ spl42_230
| ~ spl42_247 ),
inference(forward_demodulation,[],[f4022,f1924]) ).
fof(f1924,plain,
e21 = h4(e11),
inference(backward_demodulation,[],[f1790,f1923]) ).
fof(f1923,plain,
e21 = op2(op2(h4(e10),e23),e23),
inference(forward_demodulation,[],[f240,f245]) ).
fof(f245,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(op2(op2(e23,e23),e23),e23) = h4(e11)
& op2(e23,e23) = h4(e10)
& e23 = h4(e13)
& op2(op2(e23,e23),e23) = h4(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f240,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e20 = op2(e23,e23)
& e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(op2(e23,e23),e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f1790,plain,
h4(e11) = op2(op2(h4(e10),e23),e23),
inference(forward_demodulation,[],[f246,f245]) ).
fof(f246,plain,
op2(op2(op2(e23,e23),e23),e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f4022,plain,
( op2(e21,e20) != h4(e11)
| spl42_225
| ~ spl42_230
| ~ spl42_247 ),
inference(forward_demodulation,[],[f4021,f1793]) ).
fof(f4021,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| spl42_225
| ~ spl42_230 ),
inference(forward_demodulation,[],[f4020,f1924]) ).
fof(f4020,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl42_225
| ~ spl42_230 ),
inference(forward_demodulation,[],[f1644,f1676]) ).
fof(f1644,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl42_225 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1642,plain,
( spl42_225
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).
fof(f3967,plain,
( ~ spl42_83
| ~ spl42_202
| spl42_226
| ~ spl42_260
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3966]) ).
fof(f3966,plain,
( $false
| ~ spl42_83
| ~ spl42_202
| spl42_226
| ~ spl42_260
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3965,f998]) ).
fof(f998,plain,
( e21 = op2(e23,e22)
| ~ spl42_83 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f996,plain,
( spl42_83
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).
fof(f3965,plain,
( e21 != op2(e23,e22)
| ~ spl42_202
| spl42_226
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3964,f1924]) ).
fof(f3964,plain,
( op2(e23,e22) != h4(e11)
| ~ spl42_202
| spl42_226
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3963,f1543]) ).
fof(f1543,plain,
( e11 = op1(e13,e12)
| ~ spl42_202 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1541,plain,
( spl42_202
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).
fof(f3963,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| spl42_226
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3962,f1886]) ).
fof(f3962,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e22)
| spl42_226
| ~ spl42_275 ),
inference(forward_demodulation,[],[f1648,f2068]) ).
fof(f1648,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl42_226 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f1646,plain,
( spl42_226
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_226])]) ).
fof(f3956,plain,
( ~ spl42_153
| spl42_224
| ~ spl42_260
| ~ spl42_261
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3955]) ).
fof(f3955,plain,
( $false
| ~ spl42_153
| spl42_224
| ~ spl42_260
| ~ spl42_261
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3954,f1899]) ).
fof(f1899,plain,
( e23 = op2(e22,e21)
| ~ spl42_261 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f1897,plain,
( spl42_261
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_261])]) ).
fof(f3954,plain,
( e23 != op2(e22,e21)
| ~ spl42_153
| spl42_224
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3953,f1886]) ).
fof(f3953,plain,
( op2(e22,e21) != h4(e13)
| ~ spl42_153
| spl42_224
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3952,f1308]) ).
fof(f1308,plain,
( e13 = op1(e12,e11)
| ~ spl42_153 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1306,plain,
( spl42_153
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f3952,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| spl42_224
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3951,f2068]) ).
fof(f3951,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| spl42_224 ),
inference(forward_demodulation,[],[f1640,f1924]) ).
fof(f1640,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl42_224 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1638,plain,
( spl42_224
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_224])]) ).
fof(f3889,plain,
( ~ spl42_76
| ~ spl42_189
| spl42_220
| ~ spl42_260 ),
inference(avatar_contradiction_clause,[],[f3888]) ).
fof(f3888,plain,
( $false
| ~ spl42_76
| ~ spl42_189
| spl42_220
| ~ spl42_260 ),
inference(subsumption_resolution,[],[f3887,f1477]) ).
fof(f1477,plain,
( e23 = op2(e21,e23)
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1475,plain,
( spl42_189
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).
fof(f3887,plain,
( e23 != op2(e21,e23)
| ~ spl42_76
| spl42_220
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3886,f1886]) ).
fof(f3886,plain,
( op2(e21,e23) != h4(e13)
| ~ spl42_76
| spl42_220
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3885,f967]) ).
fof(f967,plain,
( e13 = op1(e11,e13)
| ~ spl42_76 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f965,plain,
( spl42_76
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).
fof(f3885,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| spl42_220
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3884,f1924]) ).
fof(f3884,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl42_220
| ~ spl42_260 ),
inference(forward_demodulation,[],[f1624,f1886]) ).
fof(f1624,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl42_220 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1622,plain,
( spl42_220
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f3880,plain,
( ~ spl42_120
| ~ spl42_142
| spl42_221
| ~ spl42_230
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
fof(f3879,plain,
( $false
| ~ spl42_120
| ~ spl42_142
| spl42_221
| ~ spl42_230
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3878,f1256]) ).
fof(f1256,plain,
( e22 = op2(e22,e20)
| ~ spl42_142 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1254,plain,
( spl42_142
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f3878,plain,
( e22 != op2(e22,e20)
| ~ spl42_120
| spl42_221
| ~ spl42_230
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3877,f2068]) ).
fof(f3877,plain,
( op2(e22,e20) != h4(e12)
| ~ spl42_120
| spl42_221
| ~ spl42_230
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3876,f1155]) ).
fof(f1155,plain,
( e12 = op1(e12,e10)
| ~ spl42_120 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1153,plain,
( spl42_120
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).
fof(f3876,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| spl42_221
| ~ spl42_230
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3875,f2068]) ).
fof(f3875,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| spl42_221
| ~ spl42_230 ),
inference(forward_demodulation,[],[f1628,f1676]) ).
fof(f1628,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl42_221 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1626,plain,
( spl42_221
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_221])]) ).
fof(f3822,plain,
( ~ spl42_69
| spl42_219
| ~ spl42_230
| ~ spl42_248 ),
inference(avatar_contradiction_clause,[],[f3821]) ).
fof(f3821,plain,
( $false
| ~ spl42_69
| spl42_219
| ~ spl42_230
| ~ spl42_248 ),
inference(subsumption_resolution,[],[f3820,f934]) ).
fof(f934,plain,
( e20 = op2(e21,e21)
| ~ spl42_69 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl42_69
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).
fof(f3820,plain,
( e20 != op2(e21,e21)
| spl42_219
| ~ spl42_230
| ~ spl42_248 ),
inference(forward_demodulation,[],[f3819,f1676]) ).
fof(f3819,plain,
( op2(e21,e21) != h4(e10)
| spl42_219
| ~ spl42_248 ),
inference(forward_demodulation,[],[f3818,f1797]) ).
fof(f1797,plain,
( e10 = op1(e11,e11)
| ~ spl42_248 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1796,plain,
( spl42_248
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).
fof(f3818,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| spl42_219 ),
inference(forward_demodulation,[],[f1620,f1924]) ).
fof(f1620,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl42_219 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1618,plain,
( spl42_219
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).
fof(f3806,plain,
( ~ spl42_51
| ~ spl42_59
| spl42_218
| ~ spl42_260
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3805]) ).
fof(f3805,plain,
( $false
| ~ spl42_51
| ~ spl42_59
| spl42_218
| ~ spl42_260
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3804,f855]) ).
fof(f855,plain,
( e22 = op2(e23,e21)
| ~ spl42_51 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl42_51
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_51])]) ).
fof(f3804,plain,
( e22 != op2(e23,e21)
| ~ spl42_59
| spl42_218
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3803,f2068]) ).
fof(f3803,plain,
( op2(e23,e21) != h4(e12)
| ~ spl42_59
| spl42_218
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3802,f890]) ).
fof(f890,plain,
( e12 = op1(e13,e11)
| ~ spl42_59 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl42_59
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_59])]) ).
fof(f3802,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| spl42_218
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3801,f1886]) ).
fof(f3801,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| spl42_218 ),
inference(forward_demodulation,[],[f1616,f1924]) ).
fof(f1616,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl42_218 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1614,plain,
( spl42_218
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).
fof(f3748,plain,
( ~ spl42_124
| spl42_216
| ~ spl42_230
| ~ spl42_240
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3747]) ).
fof(f3747,plain,
( $false
| ~ spl42_124
| spl42_216
| ~ spl42_230
| ~ spl42_240
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3746,f1738]) ).
fof(f1738,plain,
( e20 = op2(e22,e22)
| ~ spl42_240 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1737,plain,
( spl42_240
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_240])]) ).
fof(f3746,plain,
( e20 != op2(e22,e22)
| ~ spl42_124
| spl42_216
| ~ spl42_230
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3745,f1676]) ).
fof(f3745,plain,
( op2(e22,e22) != h4(e10)
| ~ spl42_124
| spl42_216
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3744,f1173]) ).
fof(f3744,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| spl42_216
| ~ spl42_275 ),
inference(forward_demodulation,[],[f1608,f2068]) ).
fof(f1608,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl42_216 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f1606,plain,
( spl42_216
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_216])]) ).
fof(f3724,plain,
( ~ spl42_5
| ~ spl42_149
| spl42_214
| ~ spl42_260
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3723]) ).
fof(f3723,plain,
( $false
| ~ spl42_5
| ~ spl42_149
| spl42_214
| ~ spl42_260
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3722,f660]) ).
fof(f660,plain,
( e21 = op2(e22,e23)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl42_5
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f3722,plain,
( e21 != op2(e22,e23)
| ~ spl42_149
| spl42_214
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3721,f1924]) ).
fof(f3721,plain,
( op2(e22,e23) != h4(e11)
| ~ spl42_149
| spl42_214
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3720,f1288]) ).
fof(f1288,plain,
( e11 = op1(e12,e13)
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1286,plain,
( spl42_149
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f3720,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| spl42_214
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3719,f2068]) ).
fof(f3719,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl42_214
| ~ spl42_260 ),
inference(forward_demodulation,[],[f1600,f1886]) ).
fof(f1600,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl42_214 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl42_214
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).
fof(f3685,plain,
( ~ spl42_38
| ~ spl42_199
| spl42_213
| ~ spl42_230
| ~ spl42_260 ),
inference(avatar_contradiction_clause,[],[f3684]) ).
fof(f3684,plain,
( $false
| ~ spl42_38
| ~ spl42_199
| spl42_213
| ~ spl42_230
| ~ spl42_260 ),
inference(subsumption_resolution,[],[f3683,f1530]) ).
fof(f1530,plain,
( e20 = op2(e23,e23)
| ~ spl42_199 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1528,plain,
( spl42_199
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f3683,plain,
( e20 != op2(e23,e23)
| ~ spl42_38
| spl42_213
| ~ spl42_230
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3682,f1676]) ).
fof(f3682,plain,
( op2(e23,e23) != h4(e10)
| ~ spl42_38
| spl42_213
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3681,f798]) ).
fof(f798,plain,
( e10 = op1(e13,e13)
| ~ spl42_38 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl42_38
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).
fof(f3681,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| spl42_213
| ~ spl42_260 ),
inference(forward_demodulation,[],[f1596,f1886]) ).
fof(f1596,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl42_213 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl42_213
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f3638,plain,
( ~ spl42_265
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f3621,f687,f1936]) ).
fof(f1936,plain,
( spl42_265
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).
fof(f687,plain,
( spl42_12
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f3621,plain,
( e20 != op2(e22,e21)
| ~ spl42_12 ),
inference(forward_demodulation,[],[f2254,f688]) ).
fof(f688,plain,
( e20 = h2(e10)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f2254,plain,
op2(e22,e21) != h2(e10),
inference(forward_demodulation,[],[f520,f395]) ).
fof(f395,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e21 = h2(e13)
& op2(op2(e21,e21),e21) = h2(e12)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& op2(e21,e21) = h2(e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f520,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3635,plain,
( ~ spl42_145
| spl42_212
| ~ spl42_230
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f3634]) ).
fof(f3634,plain,
( $false
| ~ spl42_145
| spl42_212
| ~ spl42_230
| ~ spl42_241 ),
inference(subsumption_resolution,[],[f3633,f1269]) ).
fof(f1269,plain,
( e21 = op2(e20,e21)
| ~ spl42_145 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl42_145
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).
fof(f3633,plain,
( e21 != op2(e20,e21)
| spl42_212
| ~ spl42_230
| ~ spl42_241 ),
inference(forward_demodulation,[],[f3632,f1924]) ).
fof(f3632,plain,
( op2(e20,e21) != h4(e11)
| spl42_212
| ~ spl42_230
| ~ spl42_241 ),
inference(forward_demodulation,[],[f3631,f1744]) ).
fof(f1744,plain,
( e11 = op1(e10,e11)
| ~ spl42_241 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1742,plain,
( spl42_241
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).
fof(f3631,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| spl42_212
| ~ spl42_230 ),
inference(forward_demodulation,[],[f3630,f1676]) ).
fof(f3630,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| spl42_212 ),
inference(forward_demodulation,[],[f1592,f1924]) ).
fof(f1592,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl42_212 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl42_212
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_212])]) ).
fof(f3609,plain,
( ~ spl42_47
| ~ spl42_128
| spl42_210
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3608]) ).
fof(f3608,plain,
( $false
| ~ spl42_47
| ~ spl42_128
| spl42_210
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3607,f837]) ).
fof(f837,plain,
( e22 = op2(e21,e22)
| ~ spl42_47 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl42_47
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_47])]) ).
fof(f3607,plain,
( e22 != op2(e21,e22)
| ~ spl42_128
| spl42_210
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3606,f2068]) ).
fof(f3606,plain,
( op2(e21,e22) != h4(e12)
| ~ spl42_128
| spl42_210
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3605,f1190]) ).
fof(f1190,plain,
( e12 = op1(e11,e12)
| ~ spl42_128 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1188,plain,
( spl42_128
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).
fof(f3605,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| spl42_210
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3604,f1924]) ).
fof(f3604,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| spl42_210
| ~ spl42_275 ),
inference(forward_demodulation,[],[f1584,f2068]) ).
fof(f1584,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl42_210 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1582,plain,
( spl42_210
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).
fof(f3512,plain,
( ~ spl42_86
| spl42_211
| ~ spl42_230
| ~ spl42_243
| ~ spl42_260
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f3511]) ).
fof(f3511,plain,
( $false
| ~ spl42_86
| spl42_211
| ~ spl42_230
| ~ spl42_243
| ~ spl42_260
| ~ spl42_275 ),
inference(subsumption_resolution,[],[f3510,f1759]) ).
fof(f3510,plain,
( e22 != op2(e20,e23)
| ~ spl42_86
| spl42_211
| ~ spl42_230
| ~ spl42_260
| ~ spl42_275 ),
inference(forward_demodulation,[],[f3509,f2068]) ).
fof(f3509,plain,
( op2(e20,e23) != h4(e12)
| ~ spl42_86
| spl42_211
| ~ spl42_230
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3508,f1011]) ).
fof(f1011,plain,
( e12 = op1(e10,e13)
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl42_86
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f3508,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| spl42_211
| ~ spl42_230
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3507,f1676]) ).
fof(f3507,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl42_211
| ~ spl42_260 ),
inference(forward_demodulation,[],[f1588,f1886]) ).
fof(f1588,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl42_211 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1586,plain,
( spl42_211
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).
fof(f3497,plain,
( ~ spl42_142
| ~ spl42_257 ),
inference(avatar_split_clause,[],[f3461,f1863,f1254]) ).
fof(f1863,plain,
( spl42_257
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).
fof(f3461,plain,
( e22 != op2(e22,e20)
| ~ spl42_257 ),
inference(forward_demodulation,[],[f1762,f1865]) ).
fof(f1865,plain,
( e22 = h3(e10)
| ~ spl42_257 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f1762,plain,
op2(e22,e20) != h3(e10),
inference(backward_demodulation,[],[f539,f394]) ).
fof(f394,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e10)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& e22 = h3(e13)
& op2(op2(e22,e22),e22) = h3(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f539,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3492,plain,
( ~ spl42_47
| ~ spl42_257 ),
inference(avatar_split_clause,[],[f3427,f1863,f835]) ).
fof(f3427,plain,
( e22 != op2(e21,e22)
| ~ spl42_257 ),
inference(forward_demodulation,[],[f2113,f1865]) ).
fof(f2113,plain,
op2(e21,e22) != h3(e10),
inference(forward_demodulation,[],[f534,f394]) ).
fof(f534,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3482,plain,
( ~ spl42_181
| ~ spl42_243 ),
inference(avatar_contradiction_clause,[],[f3481]) ).
fof(f3481,plain,
( $false
| ~ spl42_181
| ~ spl42_243 ),
inference(subsumption_resolution,[],[f2998,f1435]) ).
fof(f1435,plain,
( e22 = h1(e10)
| ~ spl42_181 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f1434,plain,
( spl42_181
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f2998,plain,
( e22 != h1(e10)
| ~ spl42_243 ),
inference(backward_demodulation,[],[f1873,f1759]) ).
fof(f1873,plain,
op2(e20,e23) != h1(e10),
inference(forward_demodulation,[],[f500,f254]) ).
fof(f254,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& op2(e20,e20) = h1(e10)
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f500,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3448,plain,
( spl42_44
| ~ spl42_257 ),
inference(avatar_split_clause,[],[f3447,f1863,f823]) ).
fof(f823,plain,
( spl42_44
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_44])]) ).
fof(f3447,plain,
( e22 = op2(e22,e22)
| ~ spl42_257 ),
inference(forward_demodulation,[],[f394,f1865]) ).
fof(f3403,plain,
( ~ spl42_64
| ~ spl42_186
| spl42_222
| ~ spl42_230
| ~ spl42_260 ),
inference(avatar_contradiction_clause,[],[f3402]) ).
fof(f3402,plain,
( $false
| ~ spl42_64
| ~ spl42_186
| spl42_222
| ~ spl42_230
| ~ spl42_260 ),
inference(subsumption_resolution,[],[f3401,f1460]) ).
fof(f1460,plain,
( e23 = op2(e23,e20)
| ~ spl42_186 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f1458,plain,
( spl42_186
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_186])]) ).
fof(f3401,plain,
( e23 != op2(e23,e20)
| ~ spl42_64
| spl42_222
| ~ spl42_230
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3400,f1886]) ).
fof(f3400,plain,
( op2(e23,e20) != h4(e13)
| ~ spl42_64
| spl42_222
| ~ spl42_230
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3399,f912]) ).
fof(f912,plain,
( e13 = op1(e13,e10)
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f911,plain,
( spl42_64
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).
fof(f3399,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| spl42_222
| ~ spl42_230
| ~ spl42_260 ),
inference(forward_demodulation,[],[f3398,f1886]) ).
fof(f3398,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| spl42_222
| ~ spl42_230 ),
inference(forward_demodulation,[],[f1632,f1676]) ).
fof(f1632,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl42_222 ),
inference(avatar_component_clause,[],[f1630]) ).
fof(f1630,plain,
( spl42_222
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).
fof(f3374,plain,
( ~ spl42_233
| ~ spl42_234 ),
inference(avatar_contradiction_clause,[],[f3373]) ).
fof(f3373,plain,
( $false
| ~ spl42_233
| ~ spl42_234 ),
inference(subsumption_resolution,[],[f3371,f390]) ).
fof(f390,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3371,plain,
( e11 = e13
| ~ spl42_233
| ~ spl42_234 ),
inference(backward_demodulation,[],[f1699,f1703]) ).
fof(f1703,plain,
( e11 = op1(e10,e12)
| ~ spl42_234 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f1701,plain,
( spl42_234
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).
fof(f3364,plain,
( ~ spl42_154
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f3363,f911,f1311]) ).
fof(f1311,plain,
( spl42_154
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f3363,plain,
( e13 != op1(e13,e12)
| ~ spl42_64 ),
inference(forward_demodulation,[],[f364,f912]) ).
fof(f364,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3311,plain,
( ~ spl42_149
| ~ spl42_268 ),
inference(avatar_contradiction_clause,[],[f3310]) ).
fof(f3310,plain,
( $false
| ~ spl42_149
| ~ spl42_268 ),
inference(subsumption_resolution,[],[f3309,f390]) ).
fof(f3309,plain,
( e11 = e13
| ~ spl42_149
| ~ spl42_268 ),
inference(forward_demodulation,[],[f1964,f1288]) ).
fof(f1964,plain,
( e13 = op1(e12,e13)
| ~ spl42_268 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f1962,plain,
( spl42_268
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).
fof(f3292,plain,
( ~ spl42_55
| ~ spl42_186 ),
inference(avatar_contradiction_clause,[],[f3291]) ).
fof(f3291,plain,
( $false
| ~ spl42_55
| ~ spl42_186 ),
inference(subsumption_resolution,[],[f3289,f252]) ).
fof(f252,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3289,plain,
( e20 = e23
| ~ spl42_55
| ~ spl42_186 ),
inference(backward_demodulation,[],[f1460,f872]) ).
fof(f872,plain,
( e20 = op2(e23,e20)
| ~ spl42_55 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f870,plain,
( spl42_55
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).
fof(f3241,plain,
( ~ spl42_52
| ~ spl42_243 ),
inference(avatar_split_clause,[],[f3197,f1757,f857]) ).
fof(f857,plain,
( spl42_52
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_52])]) ).
fof(f3197,plain,
( e22 != op2(e20,e21)
| ~ spl42_243 ),
inference(forward_demodulation,[],[f532,f1759]) ).
fof(f532,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3231,plain,
( ~ spl42_122
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f3230,f1009,f1161]) ).
fof(f1161,plain,
( spl42_122
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_122])]) ).
fof(f3230,plain,
( op1(e10,e10) != e12
| ~ spl42_86 ),
inference(forward_demodulation,[],[f352,f1011]) ).
fof(f352,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3223,plain,
( ~ spl42_179
| ~ spl42_142 ),
inference(avatar_split_clause,[],[f3081,f1254,f1423]) ).
fof(f1423,plain,
( spl42_179
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f3081,plain,
( e22 != op2(e21,e20)
| ~ spl42_142 ),
inference(forward_demodulation,[],[f530,f1256]) ).
fof(f530,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3217,plain,
( ~ spl42_72
| ~ spl42_245 ),
inference(avatar_split_clause,[],[f3138,f1771,f946]) ).
fof(f1771,plain,
( spl42_245
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_245])]) ).
fof(f3138,plain,
( e10 != op1(e10,e10)
| ~ spl42_245 ),
inference(forward_demodulation,[],[f381,f1773]) ).
fof(f1773,plain,
( e10 = op1(e11,e10)
| ~ spl42_245 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f381,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3215,plain,
( ~ spl42_2
| ~ spl42_59 ),
inference(avatar_split_clause,[],[f3214,f888,f645]) ).
fof(f645,plain,
( spl42_2
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f3214,plain,
( e12 != op1(e13,e12)
| ~ spl42_59 ),
inference(backward_demodulation,[],[f373,f890]) ).
fof(f373,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3145,plain,
( ~ spl42_190
| ~ spl42_248 ),
inference(avatar_contradiction_clause,[],[f3144]) ).
fof(f3144,plain,
( $false
| ~ spl42_190
| ~ spl42_248 ),
inference(subsumption_resolution,[],[f3143,f388]) ).
fof(f3143,plain,
( e10 = e12
| ~ spl42_190
| ~ spl42_248 ),
inference(backward_demodulation,[],[f1481,f1797]) ).
fof(f1481,plain,
( e12 = op1(e11,e11)
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1480,plain,
( spl42_190
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f3115,plain,
( ~ spl42_27
| ~ spl42_72 ),
inference(avatar_contradiction_clause,[],[f3114]) ).
fof(f3114,plain,
( $false
| ~ spl42_27
| ~ spl42_72 ),
inference(subsumption_resolution,[],[f3113,f385]) ).
fof(f385,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f3113,plain,
( e10 = e11
| ~ spl42_27
| ~ spl42_72 ),
inference(backward_demodulation,[],[f749,f948]) ).
fof(f749,plain,
( op1(e10,e10) = e11
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f748,plain,
( spl42_27
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).
fof(f3111,plain,
( ~ spl42_186
| ~ spl42_208 ),
inference(avatar_contradiction_clause,[],[f3110]) ).
fof(f3110,plain,
( $false
| ~ spl42_186
| ~ spl42_208 ),
inference(subsumption_resolution,[],[f2999,f1460]) ).
fof(f2999,plain,
( e23 != op2(e23,e20)
| ~ spl42_208 ),
inference(forward_demodulation,[],[f528,f1575]) ).
fof(f1575,plain,
( e23 = op2(e23,e22)
| ~ spl42_208 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1573,plain,
( spl42_208
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f528,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3086,plain,
( spl42_86
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2620,f796,f1009]) ).
fof(f2620,plain,
( e12 = op1(e10,e13)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f239,f798]) ).
fof(f239,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e10 = op1(e13,e13)
& e11 = op1(op1(op1(e13,e13),e13),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f3084,plain,
( ~ spl42_73
| ~ spl42_252 ),
inference(avatar_split_clause,[],[f3083,f1821,f950]) ).
fof(f950,plain,
( spl42_73
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).
fof(f1821,plain,
( spl42_252
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).
fof(f3083,plain,
( e11 != op1(e11,e11)
| ~ spl42_252 ),
inference(forward_demodulation,[],[f347,f1823]) ).
fof(f1823,plain,
( e11 = op1(e13,e11)
| ~ spl42_252 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f347,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3059,plain,
( ~ spl42_86
| ~ spl42_197 ),
inference(avatar_split_clause,[],[f3058,f1519,f1009]) ).
fof(f1519,plain,
( spl42_197
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f3058,plain,
( e12 != op1(e10,e13)
| ~ spl42_197 ),
inference(forward_demodulation,[],[f369,f1521]) ).
fof(f1521,plain,
( e12 = op1(e11,e13)
| ~ spl42_197 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f369,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3047,plain,
( ~ spl42_51
| ~ spl42_62 ),
inference(avatar_contradiction_clause,[],[f3046]) ).
fof(f3046,plain,
( $false
| ~ spl42_51
| ~ spl42_62 ),
inference(subsumption_resolution,[],[f3045,f251]) ).
fof(f251,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3045,plain,
( e21 = e22
| ~ spl42_51
| ~ spl42_62 ),
inference(forward_demodulation,[],[f855,f903]) ).
fof(f903,plain,
( e21 = op2(e23,e21)
| ~ spl42_62 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f901,plain,
( spl42_62
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_62])]) ).
fof(f3025,plain,
( ~ spl42_87
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f2969,f1286,f1013]) ).
fof(f1013,plain,
( spl42_87
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).
fof(f2969,plain,
( e11 != op1(e10,e13)
| ~ spl42_149 ),
inference(forward_demodulation,[],[f339,f1288]) ).
fof(f339,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3020,plain,
( spl42_12
| ~ spl42_69 ),
inference(avatar_split_clause,[],[f2921,f933,f687]) ).
fof(f2921,plain,
( e20 = h2(e10)
| ~ spl42_69 ),
inference(backward_demodulation,[],[f395,f934]) ).
fof(f3018,plain,
( ~ spl42_99
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f2756,f911,f1067]) ).
fof(f1067,plain,
( spl42_99
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).
fof(f2756,plain,
( e13 != op1(e12,e10)
| ~ spl42_64 ),
inference(forward_demodulation,[],[f350,f912]) ).
fof(f350,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2984,plain,
( ~ spl42_140
| ~ spl42_5 ),
inference(avatar_split_clause,[],[f2820,f658,f1246]) ).
fof(f1246,plain,
( spl42_140
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_140])]) ).
fof(f2820,plain,
( e21 != op2(e22,e20)
| ~ spl42_5 ),
inference(forward_demodulation,[],[f515,f660]) ).
fof(f515,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2977,plain,
( ~ spl42_149
| ~ spl42_206 ),
inference(avatar_contradiction_clause,[],[f2976]) ).
fof(f2976,plain,
( $false
| ~ spl42_149
| ~ spl42_206 ),
inference(subsumption_resolution,[],[f2975,f387]) ).
fof(f387,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2975,plain,
( e11 = e12
| ~ spl42_149
| ~ spl42_206 ),
inference(forward_demodulation,[],[f1560,f1288]) ).
fof(f1560,plain,
( e12 = op1(e12,e13)
| ~ spl42_206 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl42_206
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).
fof(f2966,plain,
( ~ spl42_254
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f2965,f1675,f1837]) ).
fof(f1837,plain,
( spl42_254
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f2965,plain,
( e20 != op2(e21,e23)
| ~ spl42_230 ),
inference(forward_demodulation,[],[f1999,f1676]) ).
fof(f1999,plain,
op2(e21,e23) != h4(e10),
inference(forward_demodulation,[],[f536,f245]) ).
fof(f536,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2957,plain,
( ~ spl42_37
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2956,f796,f792]) ).
fof(f792,plain,
( spl42_37
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).
fof(f2956,plain,
( e10 != op1(e10,e13)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f380,f798]) ).
fof(f380,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2950,plain,
( ~ spl42_199
| ~ spl42_200 ),
inference(avatar_contradiction_clause,[],[f2949]) ).
fof(f2949,plain,
( $false
| ~ spl42_199
| ~ spl42_200 ),
inference(subsumption_resolution,[],[f2948,f252]) ).
fof(f2948,plain,
( e20 = e23
| ~ spl42_199
| ~ spl42_200 ),
inference(forward_demodulation,[],[f1534,f1530]) ).
fof(f1534,plain,
( e23 = op2(e23,e23)
| ~ spl42_200 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1532,plain,
( spl42_200
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_200])]) ).
fof(f2941,plain,
( ~ spl42_148
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f2719,f1286,f1282]) ).
fof(f1282,plain,
( spl42_148
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).
fof(f2719,plain,
( e11 != op1(e11,e13)
| ~ spl42_149 ),
inference(forward_demodulation,[],[f384,f1288]) ).
fof(f384,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2939,plain,
( ~ spl42_53
| ~ spl42_142 ),
inference(avatar_split_clause,[],[f2938,f1254,f861]) ).
fof(f861,plain,
( spl42_53
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_53])]) ).
fof(f2938,plain,
( e22 != op2(e22,e21)
| ~ spl42_142 ),
inference(backward_demodulation,[],[f501,f1256]) ).
fof(f501,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2906,plain,
( ~ spl42_94
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f2796,f1286,f1045]) ).
fof(f1045,plain,
( spl42_94
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f2796,plain,
( e11 != op1(e12,e11)
| ~ spl42_149 ),
inference(forward_demodulation,[],[f372,f1288]) ).
fof(f372,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2904,plain,
( ~ spl42_83
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f2903,f901,f996]) ).
fof(f2903,plain,
( e21 != op2(e23,e22)
| ~ spl42_62 ),
inference(forward_demodulation,[],[f542,f903]) ).
fof(f542,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2902,plain,
( ~ spl42_83
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f2901,f1000,f996]) ).
fof(f1000,plain,
( spl42_84
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f2901,plain,
( e21 != op2(e23,e22)
| ~ spl42_84 ),
inference(forward_demodulation,[],[f516,f1002]) ).
fof(f1002,plain,
( e21 = op2(e20,e22)
| ~ spl42_84 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f516,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2882,plain,
( ~ spl42_124
| ~ spl42_129 ),
inference(avatar_split_clause,[],[f2881,f1192,f1171]) ).
fof(f1192,plain,
( spl42_129
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).
fof(f2881,plain,
( e10 != op1(e12,e12)
| ~ spl42_129 ),
inference(forward_demodulation,[],[f359,f1194]) ).
fof(f1194,plain,
( e10 = op1(e11,e12)
| ~ spl42_129 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f359,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2880,plain,
( ~ spl42_68
| ~ spl42_179 ),
inference(avatar_contradiction_clause,[],[f2879]) ).
fof(f2879,plain,
( $false
| ~ spl42_68
| ~ spl42_179 ),
inference(subsumption_resolution,[],[f2878,f251]) ).
fof(f2878,plain,
( e21 = e22
| ~ spl42_68
| ~ spl42_179 ),
inference(backward_demodulation,[],[f1425,f930]) ).
fof(f1425,plain,
( e22 = op2(e21,e20)
| ~ spl42_179 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f2856,plain,
( ~ spl42_266
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f2855,f1675,f1944]) ).
fof(f1944,plain,
( spl42_266
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_266])]) ).
fof(f2855,plain,
( e20 != op2(e23,e22)
| ~ spl42_230 ),
inference(forward_demodulation,[],[f2060,f1676]) ).
fof(f2060,plain,
op2(e23,e22) != h4(e10),
inference(forward_demodulation,[],[f522,f245]) ).
fof(f522,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2854,plain,
( ~ spl42_141
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f2660,f1458,f1250]) ).
fof(f1250,plain,
( spl42_141
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).
fof(f2660,plain,
( e23 != op2(e22,e20)
| ~ spl42_186 ),
inference(forward_demodulation,[],[f503,f1460]) ).
fof(f503,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2851,plain,
( spl42_243
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f2603,f1675,f1757]) ).
fof(f2603,plain,
( e22 = op2(e20,e23)
| ~ spl42_230 ),
inference(backward_demodulation,[],[f2148,f1676]) ).
fof(f2148,plain,
e22 = op2(h4(e10),e23),
inference(forward_demodulation,[],[f241,f245]) ).
fof(f241,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f2850,plain,
( ~ spl42_72
| ~ spl42_78 ),
inference(avatar_split_clause,[],[f2734,f974,f946]) ).
fof(f974,plain,
( spl42_78
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).
fof(f2734,plain,
( e10 != op1(e10,e10)
| ~ spl42_78 ),
inference(forward_demodulation,[],[f376,f976]) ).
fof(f976,plain,
( e10 = op1(e12,e10)
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f376,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2847,plain,
( ~ spl42_178
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f2838,f1458,f1419]) ).
fof(f1419,plain,
( spl42_178
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f2838,plain,
( e23 != op2(e21,e20)
| ~ spl42_186 ),
inference(forward_demodulation,[],[f510,f1460]) ).
fof(f510,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2844,plain,
( ~ spl42_184
| ~ spl42_186 ),
inference(avatar_contradiction_clause,[],[f2843]) ).
fof(f2843,plain,
( $false
| ~ spl42_184
| ~ spl42_186 ),
inference(subsumption_resolution,[],[f2842,f248]) ).
fof(f2842,plain,
( e22 = e23
| ~ spl42_184
| ~ spl42_186 ),
inference(backward_demodulation,[],[f1460,f1452]) ).
fof(f1452,plain,
( e22 = op2(e23,e20)
| ~ spl42_184 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1450,plain,
( spl42_184
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).
fof(f2786,plain,
( spl42_258
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f2785,f1004,f1869]) ).
fof(f1869,plain,
( spl42_258
<=> e21 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).
fof(f1004,plain,
( spl42_85
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f2785,plain,
( e21 = h3(e10)
| ~ spl42_85 ),
inference(forward_demodulation,[],[f394,f1006]) ).
fof(f1006,plain,
( e21 = op2(e22,e22)
| ~ spl42_85 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f2780,plain,
( ~ spl42_54
| ~ spl42_179 ),
inference(avatar_contradiction_clause,[],[f2779]) ).
fof(f2779,plain,
( $false
| ~ spl42_54
| ~ spl42_179 ),
inference(subsumption_resolution,[],[f2778,f249]) ).
fof(f249,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f2778,plain,
( e20 = e22
| ~ spl42_54
| ~ spl42_179 ),
inference(forward_demodulation,[],[f1425,f868]) ).
fof(f868,plain,
( e20 = op2(e21,e20)
| ~ spl42_54 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl42_54
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).
fof(f2774,plain,
( ~ spl42_125
| ~ spl42_153 ),
inference(avatar_contradiction_clause,[],[f2773]) ).
fof(f2773,plain,
( $false
| ~ spl42_125
| ~ spl42_153 ),
inference(subsumption_resolution,[],[f2772,f386]) ).
fof(f386,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2772,plain,
( e10 = e13
| ~ spl42_125
| ~ spl42_153 ),
inference(forward_demodulation,[],[f1308,f1177]) ).
fof(f1177,plain,
( e10 = op1(e12,e11)
| ~ spl42_125 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1175,plain,
( spl42_125
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_125])]) ).
fof(f2771,plain,
( ~ spl42_183
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2770,f796,f1445]) ).
fof(f1445,plain,
( spl42_183
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).
fof(f2770,plain,
( e10 != op1(e13,e10)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f355,f798]) ).
fof(f355,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2769,plain,
( ~ spl42_78
| ~ spl42_124 ),
inference(avatar_contradiction_clause,[],[f2768]) ).
fof(f2768,plain,
( $false
| ~ spl42_78
| ~ spl42_124 ),
inference(subsumption_resolution,[],[f2767,f976]) ).
fof(f2767,plain,
( e10 != op1(e12,e10)
| ~ spl42_124 ),
inference(forward_demodulation,[],[f368,f1173]) ).
fof(f368,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2713,plain,
( ~ spl42_258
| ~ spl42_5 ),
inference(avatar_split_clause,[],[f2712,f658,f1869]) ).
fof(f2712,plain,
( e21 != h3(e10)
| ~ spl42_5 ),
inference(forward_demodulation,[],[f1764,f660]) ).
fof(f1764,plain,
op2(e22,e23) != h3(e10),
inference(backward_demodulation,[],[f523,f394]) ).
fof(f523,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2708,plain,
( ~ spl42_143
| spl42_280 ),
inference(avatar_contradiction_clause,[],[f2707]) ).
fof(f2707,plain,
( $false
| ~ spl42_143
| spl42_280 ),
inference(subsumption_resolution,[],[f2706,f2124]) ).
fof(f2124,plain,
( e21 != h2(e10)
| spl42_280 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2122,plain,
( spl42_280
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f2706,plain,
( e21 = h2(e10)
| ~ spl42_143 ),
inference(forward_demodulation,[],[f395,f1261]) ).
fof(f1261,plain,
( e21 = op2(e21,e21)
| ~ spl42_143 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1259,plain,
( spl42_143
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).
fof(f2705,plain,
( ~ spl42_47
| ~ spl42_45 ),
inference(avatar_split_clause,[],[f2704,f827,f835]) ).
fof(f827,plain,
( spl42_45
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_45])]) ).
fof(f2704,plain,
( e22 != op2(e21,e22)
| ~ spl42_45 ),
inference(forward_demodulation,[],[f527,f829]) ).
fof(f829,plain,
( e22 = op2(e23,e22)
| ~ spl42_45 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f527,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2696,plain,
( ~ spl42_144
| ~ spl42_5 ),
inference(avatar_split_clause,[],[f2695,f658,f1263]) ).
fof(f1263,plain,
( spl42_144
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f2695,plain,
( e21 != op2(e22,e21)
| ~ spl42_5 ),
inference(forward_demodulation,[],[f496,f660]) ).
fof(f496,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2673,plain,
( ~ spl42_36
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2672,f796,f788]) ).
fof(f788,plain,
( spl42_36
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_36])]) ).
fof(f2672,plain,
( e10 != op1(e11,e13)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f351,f798]) ).
fof(f351,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2655,plain,
( ~ spl42_39
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2654,f796,f800]) ).
fof(f800,plain,
( spl42_39
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_39])]) ).
fof(f2654,plain,
( e10 != op1(e12,e13)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f345,f798]) ).
fof(f345,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2653,plain,
( ~ spl42_33
| ~ spl42_38 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2652,plain,
( $false
| ~ spl42_33
| ~ spl42_38 ),
inference(subsumption_resolution,[],[f2651,f386]) ).
fof(f2651,plain,
( e10 = e13
| ~ spl42_33
| ~ spl42_38 ),
inference(forward_demodulation,[],[f775,f798]) ).
fof(f775,plain,
( e13 = op1(e13,e13)
| ~ spl42_33 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl42_33
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_33])]) ).
fof(f2646,plain,
( ~ spl42_3
| ~ spl42_5 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
fof(f2645,plain,
( $false
| ~ spl42_3
| ~ spl42_5 ),
inference(subsumption_resolution,[],[f2644,f652]) ).
fof(f652,plain,
( e21 = op2(e21,e23)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl42_3
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f2644,plain,
( e21 != op2(e21,e23)
| ~ spl42_5 ),
inference(forward_demodulation,[],[f540,f660]) ).
fof(f540,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2631,plain,
( ~ spl42_252
| ~ spl42_202 ),
inference(avatar_split_clause,[],[f2630,f1541,f1821]) ).
fof(f2630,plain,
( e11 != op1(e13,e11)
| ~ spl42_202 ),
inference(forward_demodulation,[],[f373,f1543]) ).
fof(f2628,plain,
( ~ spl42_201
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2627,f796,f1537]) ).
fof(f1537,plain,
( spl42_201
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).
fof(f2627,plain,
( e10 != op1(e13,e12)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f365,f798]) ).
fof(f365,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2601,plain,
( ~ spl42_262
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f2600,f796,f1919]) ).
fof(f1919,plain,
( spl42_262
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f2600,plain,
( e10 != op1(e13,e11)
| ~ spl42_38 ),
inference(forward_demodulation,[],[f382,f798]) ).
fof(f382,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2595,plain,
( ~ spl42_237
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f2594,f1458,f1718]) ).
fof(f1718,plain,
( spl42_237
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_237])]) ).
fof(f2594,plain,
( e23 != h4(e10)
| ~ spl42_186 ),
inference(backward_demodulation,[],[f1917,f1460]) ).
fof(f1917,plain,
op2(e23,e20) != h4(e10),
inference(forward_demodulation,[],[f526,f245]) ).
fof(f526,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2590,plain,
( ~ spl42_86
| ~ spl42_88 ),
inference(avatar_contradiction_clause,[],[f2589]) ).
fof(f2589,plain,
( $false
| ~ spl42_86
| ~ spl42_88 ),
inference(subsumption_resolution,[],[f2588,f389]) ).
fof(f389,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2588,plain,
( e12 = e13
| ~ spl42_86
| ~ spl42_88 ),
inference(forward_demodulation,[],[f1019,f1011]) ).
fof(f1019,plain,
( e13 = op1(e10,e13)
| ~ spl42_88 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1017,plain,
( spl42_88
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f2582,plain,
( ~ spl42_5
| ~ spl42_96 ),
inference(avatar_contradiction_clause,[],[f2581]) ).
fof(f2581,plain,
( $false
| ~ spl42_5
| ~ spl42_96 ),
inference(subsumption_resolution,[],[f2580,f250]) ).
fof(f250,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2580,plain,
( e21 = e23
| ~ spl42_5
| ~ spl42_96 ),
inference(forward_demodulation,[],[f1056,f660]) ).
fof(f1056,plain,
( e23 = op2(e22,e23)
| ~ spl42_96 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1054,plain,
( spl42_96
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f2579,plain,
( ~ spl42_56
| ~ spl42_142 ),
inference(avatar_contradiction_clause,[],[f2578]) ).
fof(f2578,plain,
( $false
| ~ spl42_56
| ~ spl42_142 ),
inference(subsumption_resolution,[],[f2577,f249]) ).
fof(f2577,plain,
( e20 = e22
| ~ spl42_56
| ~ spl42_142 ),
inference(forward_demodulation,[],[f1256,f876]) ).
fof(f876,plain,
( e20 = op2(e22,e20)
| ~ spl42_56 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f874,plain,
( spl42_56
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).
fof(f2568,plain,
( ~ spl42_31
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f2567,f1286,f765]) ).
fof(f765,plain,
( spl42_31
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).
fof(f2567,plain,
( e11 != op1(e12,e12)
| ~ spl42_149 ),
inference(backward_demodulation,[],[f353,f1288]) ).
fof(f353,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2541,plain,
( ~ spl42_5
| ~ spl42_80 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2540,plain,
( $false
| ~ spl42_5
| ~ spl42_80 ),
inference(subsumption_resolution,[],[f2539,f251]) ).
fof(f2539,plain,
( e21 = e22
| ~ spl42_5
| ~ spl42_80 ),
inference(backward_demodulation,[],[f984,f660]) ).
fof(f984,plain,
( e22 = op2(e22,e23)
| ~ spl42_80 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f983,plain,
( spl42_80
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).
fof(f2538,plain,
( ~ spl42_257
| ~ spl42_45 ),
inference(avatar_split_clause,[],[f2535,f827,f1863]) ).
fof(f2535,plain,
( e22 != h3(e10)
| ~ spl42_45 ),
inference(backward_demodulation,[],[f2057,f829]) ).
fof(f2057,plain,
op2(e23,e22) != h3(e10),
inference(forward_demodulation,[],[f518,f394]) ).
fof(f518,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2532,plain,
( spl42_5
| ~ spl42_275 ),
inference(avatar_split_clause,[],[f2531,f2067,f658]) ).
fof(f2531,plain,
( e21 = op2(e22,e23)
| ~ spl42_275 ),
inference(backward_demodulation,[],[f2052,f2068]) ).
fof(f2052,plain,
e21 = op2(h4(e12),e23),
inference(backward_demodulation,[],[f1923,f2051]) ).
fof(f2051,plain,
h4(e12) = op2(h4(e10),e23),
inference(forward_demodulation,[],[f243,f245]) ).
fof(f243,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f2497,plain,
( ~ spl42_54
| ~ spl42_139 ),
inference(avatar_split_clause,[],[f2494,f1238,f866]) ).
fof(f1238,plain,
( spl42_139
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).
fof(f2494,plain,
( e20 != op2(e21,e20)
| ~ spl42_139 ),
inference(backward_demodulation,[],[f2111,f1239]) ).
fof(f1239,plain,
( e20 = h1(e10)
| ~ spl42_139 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f2111,plain,
op2(e21,e20) != h1(e10),
inference(forward_demodulation,[],[f511,f254]) ).
fof(f511,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2496,plain,
( spl42_57
| ~ spl42_139 ),
inference(avatar_split_clause,[],[f2489,f1238,f878]) ).
fof(f2489,plain,
( e20 = op2(e20,e20)
| ~ spl42_139 ),
inference(backward_demodulation,[],[f254,f1239]) ).
fof(f2495,plain,
( ~ spl42_56
| ~ spl42_139 ),
inference(avatar_split_clause,[],[f2492,f1238,f874]) ).
fof(f2492,plain,
( e20 != op2(e22,e20)
| ~ spl42_139 ),
inference(backward_demodulation,[],[f2013,f1239]) ).
fof(f2013,plain,
op2(e22,e20) != h1(e10),
inference(forward_demodulation,[],[f519,f254]) ).
fof(f519,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2478,plain,
( spl42_230
| ~ spl42_199 ),
inference(avatar_split_clause,[],[f2477,f1528,f1675]) ).
fof(f2477,plain,
( e20 = h4(e10)
| ~ spl42_199 ),
inference(backward_demodulation,[],[f245,f1530]) ).
fof(f2474,plain,
( ~ spl42_139
| ~ spl42_58 ),
inference(avatar_split_clause,[],[f2472,f883,f1238]) ).
fof(f883,plain,
( spl42_58
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_58])]) ).
fof(f2472,plain,
( e20 != h1(e10)
| ~ spl42_58 ),
inference(backward_demodulation,[],[f1730,f885]) ).
fof(f885,plain,
( e20 = op2(e20,e22)
| ~ spl42_58 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f1730,plain,
op2(e20,e22) != h1(e10),
inference(forward_demodulation,[],[f512,f254]) ).
fof(f512,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2465,plain,
( ~ spl42_120
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f2457,f761,f1153]) ).
fof(f761,plain,
( spl42_30
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f2457,plain,
( e12 != op1(e12,e10)
| ~ spl42_30 ),
inference(backward_demodulation,[],[f360,f763]) ).
fof(f763,plain,
( e12 = op1(e12,e11)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f360,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2429,plain,
( ~ spl42_76
| ~ spl42_127 ),
inference(avatar_split_clause,[],[f2424,f1184,f965]) ).
fof(f1184,plain,
( spl42_127
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).
fof(f2424,plain,
( e13 != op1(e11,e13)
| ~ spl42_127 ),
inference(backward_demodulation,[],[f341,f1186]) ).
fof(f1186,plain,
( e13 = op1(e11,e12)
| ~ spl42_127 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f341,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2420,plain,
( ~ spl42_64
| ~ spl42_67 ),
inference(avatar_split_clause,[],[f2414,f924,f911]) ).
fof(f924,plain,
( spl42_67
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).
fof(f2414,plain,
( e13 != op1(e13,e10)
| ~ spl42_67 ),
inference(backward_demodulation,[],[f371,f926]) ).
fof(f926,plain,
( e13 = op1(e13,e11)
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f371,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2407,plain,
( ~ spl42_241
| ~ spl42_27 ),
inference(avatar_split_clause,[],[f2398,f748,f1742]) ).
fof(f2398,plain,
( e11 != op1(e10,e11)
| ~ spl42_27 ),
inference(backward_demodulation,[],[f338,f749]) ).
fof(f338,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2384,plain,
( ~ spl42_203
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f2375,f1009,f1546]) ).
fof(f1546,plain,
( spl42_203
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f2375,plain,
( e12 != op1(e10,e12)
| ~ spl42_86 ),
inference(backward_demodulation,[],[f340,f1011]) ).
fof(f340,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2381,plain,
( ~ spl42_207
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f2379,f1009,f1566]) ).
fof(f1566,plain,
( spl42_207
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f2379,plain,
( e12 != op1(e10,e11)
| ~ spl42_86 ),
inference(backward_demodulation,[],[f361,f1011]) ).
fof(f361,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2372,plain,
( ~ spl42_280
| ~ spl42_41 ),
inference(avatar_split_clause,[],[f2362,f809,f2122]) ).
fof(f809,plain,
( spl42_41
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_41])]) ).
fof(f2362,plain,
( e21 != h2(e10)
| ~ spl42_41 ),
inference(backward_demodulation,[],[f2136,f810]) ).
fof(f810,plain,
( e21 = op2(e21,e22)
| ~ spl42_41 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f2136,plain,
op2(e21,e22) != h2(e10),
inference(backward_demodulation,[],[f499,f395]) ).
fof(f499,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2370,plain,
( ~ spl42_68
| ~ spl42_41 ),
inference(avatar_split_clause,[],[f2365,f809,f929]) ).
fof(f2365,plain,
( e21 != op2(e21,e20)
| ~ spl42_41 ),
inference(backward_demodulation,[],[f524,f810]) ).
fof(f524,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2368,plain,
( ~ spl42_83
| ~ spl42_41 ),
inference(avatar_split_clause,[],[f2366,f809,f996]) ).
fof(f2366,plain,
( e21 != op2(e23,e22)
| ~ spl42_41 ),
inference(backward_demodulation,[],[f527,f810]) ).
fof(f2361,plain,
( spl42_257
| ~ spl42_44 ),
inference(avatar_split_clause,[],[f2360,f823,f1863]) ).
fof(f2360,plain,
( e22 = h3(e10)
| ~ spl42_44 ),
inference(backward_demodulation,[],[f394,f825]) ).
fof(f825,plain,
( e22 = op2(e22,e22)
| ~ spl42_44 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f2357,plain,
( ~ spl42_71
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f2348,f645,f942]) ).
fof(f2348,plain,
( e12 != op1(e12,e12)
| ~ spl42_2 ),
inference(backward_demodulation,[],[f370,f647]) ).
fof(f647,plain,
( e12 = op1(e13,e12)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f370,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2331,plain,
( ~ spl42_73
| ~ spl42_229 ),
inference(avatar_split_clause,[],[f608,f1669,f950]) ).
fof(f1669,plain,
( spl42_229
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_229])]) ).
fof(f608,plain,
( ~ sP18
| e11 != op1(e11,e11) ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f458,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP18 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e11 = op1(e11,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e11 = op1(e11,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) ) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f2266,plain,
( ~ spl42_240
| spl42_142 ),
inference(avatar_split_clause,[],[f204,f1254,f1737]) ).
fof(f204,plain,
( e22 = op2(e22,e20)
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e22 = op2(e23,e22)
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e23)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20)
| e22 = op2(e22,e22) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) ),
inference(definition_folding,[],[f11,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e21,e23)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e23 = op2(e22,e23)
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& e20 = op2(e20,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& e22 = op2(e22,e22)
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e20,e21)
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& e20 = op2(e23,e20)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,e21)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e22 = op2(e20,e22)
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e21 = op2(e21,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e23 = op2(e20,e23)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e20 = op2(e22,e20) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e21 = op2(e22,e21)
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& e23 = op2(e23,e23) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& e22 = op2(e21,e22) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e20 = op2(e21,e20)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f11,axiom,
( ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e22 = op2(e23,e22)
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ( e20 = op2(e21,e20)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& e22 = op2(e21,e22) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& e23 = op2(e23,e23) )
| ( e21 = op2(e22,e21)
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) ) )
| ( ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e20 = op2(e22,e20) )
| ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e23 = op2(e20,e23)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) ) )
| ( ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e21 = op2(e21,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e22 = op2(e20,e22)
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) ) )
| ( ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,e21)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& e20 = op2(e23,e20)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) ) )
| ( ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e20,e21)
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) ) )
| ( ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& e22 = op2(e22,e22)
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& e20 = op2(e20,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) ) )
| ( e23 = op2(e22,e23)
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) ) )
| ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e21,e23)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) ) ) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e23)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20)
| e22 = op2(e22,e22) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f2244,plain,
( spl42_120
| ~ spl42_124 ),
inference(avatar_split_clause,[],[f479,f1171,f1153]) ).
fof(f479,plain,
( e10 != op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10)
| e13 = op1(e13,e13) )
& ( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e12 = op1(e12,e12)
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) ),
inference(definition_folding,[],[f10,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).
fof(f37,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e12 = op1(e13,e12)
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& e10 = op1(e12,e10)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e11 = op1(e12,e11)
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& e13 = op1(e10,e13)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e12 = op1(e11,e12)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e10 = op1(e10,e10)
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& e13 = op1(e13,e13) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e11 = op1(e10,e11)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e13 = op1(e11,e13)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& e11 = op1(e13,e11) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( e10 = op1(e11,e10)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& e10 = op1(e13,e10) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& e13 = op1(e12,e13)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f10,axiom,
( ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10)
| e13 = op1(e13,e13) )
& ( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e12 = op1(e12,e12)
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& e13 = op1(e12,e13)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) ) )
| ( ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& e10 = op1(e13,e10) )
| ( e10 = op1(e11,e10)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ( ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& e11 = op1(e13,e11) )
| ( ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e13 = op1(e11,e13)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ( e11 = op1(e10,e11)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) ) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& e13 = op1(e13,e13) )
| ( e10 = op1(e10,e10)
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) ) )
| ( ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e12 = op1(e11,e12)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ( ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& e13 = op1(e10,e13)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) ) )
| ( ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e11 = op1(e11,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) ) )
| ( e11 = op1(e12,e11)
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& e10 = op1(e12,e10)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) ) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e12 = op1(e13,e12)
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) ) ) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f2232,plain,
( ~ spl42_73
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f613,f969,f950]) ).
fof(f969,plain,
( spl42_77
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).
fof(f613,plain,
( ~ sP25
| e11 != op1(e11,e11) ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f423,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP25 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e13 = op1(e11,e13)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2227,plain,
( spl42_251
| ~ spl42_133 ),
inference(avatar_split_clause,[],[f151,f1211,f1816]) ).
fof(f1211,plain,
( spl42_133
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_133])]) ).
fof(f151,plain,
( ~ sP9
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e23 = op2(e20,e23)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f2207,plain,
( spl42_42
| spl42_48
| spl42_82
| spl42_90
| spl42_45
| spl42_89
| spl42_136
| spl42_63
| spl42_130
| spl42_132
| spl42_133
| spl42_131
| spl42_70
| spl42_135
| spl42_92
| spl42_137 ),
inference(avatar_split_clause,[],[f219,f1227,f1036,f1219,f937,f1203,f1211,f1207,f1199,f906,f1223,f1022,f827,f1027,f991,f840,f813]) ).
fof(f813,plain,
( spl42_42
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).
fof(f840,plain,
( spl42_48
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_48])]) ).
fof(f991,plain,
( spl42_82
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f1027,plain,
( spl42_90
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).
fof(f1022,plain,
( spl42_89
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f1223,plain,
( spl42_136
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).
fof(f906,plain,
( spl42_63
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).
fof(f1199,plain,
( spl42_130
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_130])]) ).
fof(f1207,plain,
( spl42_132
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).
fof(f1203,plain,
( spl42_131
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).
fof(f937,plain,
( spl42_70
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_70])]) ).
fof(f1219,plain,
( spl42_135
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_135])]) ).
fof(f1036,plain,
( spl42_92
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f1227,plain,
( spl42_137
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).
fof(f219,plain,
( sP8
| sP4
| sP7
| sP2
| sP5
| sP9
| sP11
| sP13
| sP3
| sP10
| sP14
| e22 = op2(e23,e22)
| sP0
| sP12
| sP6
| sP1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f2152,plain,
( spl42_206
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f486,f1555,f1559]) ).
fof(f1555,plain,
( spl42_205
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).
fof(f486,plain,
( e13 != op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f52]) ).
fof(f2150,plain,
spl42_275,
inference(avatar_split_clause,[],[f2149,f2067]) ).
fof(f2149,plain,
e22 = h4(e12),
inference(backward_demodulation,[],[f2051,f2148]) ).
fof(f2147,plain,
( spl42_144
| ~ spl42_132 ),
inference(avatar_split_clause,[],[f143,f1207,f1263]) ).
fof(f143,plain,
( ~ sP11
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e21 = op2(e22,e21)
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f2108,plain,
( ~ spl42_143
| ~ spl42_90 ),
inference(avatar_split_clause,[],[f616,f1027,f1259]) ).
fof(f616,plain,
( ~ sP0
| e21 != op2(e21,e21) ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
( ~ sP0
| e21 != op2(e21,e21)
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e21,e23)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f2105,plain,
( spl42_129
| spl42_36
| spl42_248
| spl42_245 ),
inference(avatar_split_clause,[],[f307,f1771,f1796,f788,f1192]) ).
fof(f307,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e13) )
& ( e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e13,e13) )
& ( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) )
& ( e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e10)
| e10 = op1(e10,e12) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12) )
& ( e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11) )
& ( e12 = op1(e13,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13)
| e12 = op1(e12,e13) )
& ( e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10)
| e11 = op1(e12,e13) )
& ( e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12 )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12) )
& ( e13 = op1(e10,e12)
| e13 = op1(e13,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12) )
& ( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11) )
& ( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e10,e10)
| e10 = op1(e13,e10) )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12
| e12 = op1(e10,e13) )
& ( e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| op1(e10,e10) = e11
| e11 = op1(e10,e13) )
& ( e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e13,e11)
| e10 = op1(e10,e11) )
& ( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e10)
| e13 = op1(e12,e13) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| e12 = op1(e12,e11) )
& ( e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10) )
& ( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e13,e11)
| e13 = op1(e12,e11) )
& ( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) )
& ( e13 = op1(e11,e10)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11) )
& ( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e11)
| e11 = op1(e12,e11) )
& ( e13 = op1(e10,e11)
| e13 = op1(e10,e13)
| op1(e10,e10) = e13
| e13 = op1(e10,e12) )
& ( e11 = op1(e11,e10)
| e11 = op1(e13,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2101,plain,
( spl42_252
| ~ spl42_32 ),
inference(avatar_split_clause,[],[f414,f770,f1821]) ).
fof(f770,plain,
( spl42_32
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_32])]) ).
fof(f414,plain,
( ~ sP26
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& e11 = op1(e13,e11) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2086,plain,
( spl42_45
| spl42_266
| spl42_83
| spl42_208 ),
inference(avatar_split_clause,[],[f109,f1573,f996,f1944,f827]) ).
fof(f109,plain,
( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20) )
& ( e21 = op2(e20,e23)
| e20 = op2(e20,e23)
| e22 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e22 = op2(e22,e22)
| e23 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e23 = op2(e23,e23)
| e20 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e21 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e22 = op2(e20,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23) )
& ( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20) )
& ( op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23
| e20 = op2(e20,e20) )
& ( e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e20 = op2(e23,e21)
| e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2083,plain,
( spl42_31
| spl42_234
| spl42_126
| spl42_202 ),
inference(avatar_split_clause,[],[f298,f1541,f1180,f1701,f765]) ).
fof(f298,plain,
( e11 = op1(e13,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12)
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2082,plain,
( spl42_33
| ~ spl42_175 ),
inference(avatar_split_clause,[],[f429,f1405,f774]) ).
fof(f1405,plain,
( spl42_175
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).
fof(f429,plain,
( ~ sP23
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& e13 = op1(e13,e13) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2076,plain,
spl42_260,
inference(avatar_split_clause,[],[f244,f1885]) ).
fof(f244,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f2070,plain,
( ~ spl42_275
| ~ spl42_177 ),
inference(avatar_split_clause,[],[f553,f1414,f2067]) ).
fof(f1414,plain,
( spl42_177
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f553,plain,
( ~ sP39
| e22 != h4(e12) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f2064,plain,
spl42_149,
inference(avatar_split_clause,[],[f2063,f1286]) ).
fof(f2063,plain,
e11 = op1(e12,e13),
inference(backward_demodulation,[],[f237,f239]) ).
fof(f237,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f2062,plain,
( ~ spl42_40
| spl42_41 ),
inference(avatar_split_clause,[],[f207,f809,f805]) ).
fof(f805,plain,
( spl42_40
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).
fof(f207,plain,
( e21 = op2(e21,e22)
| e22 != op2(e21,e21) ),
inference(cnf_transformation,[],[f36]) ).
fof(f2061,plain,
( spl42_72
| spl42_27
| spl42_98
| spl42_122 ),
inference(avatar_split_clause,[],[f236,f1161,f1063,f748,f946]) ).
fof(f1063,plain,
( spl42_98
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f236,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e13
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( op1(e10,e10) = e13
| e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12 )
& ( e10 = op1(e10,e11)
| e11 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11) )
& ( e12 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13)
| e13 = op1(e11,e13) )
& ( e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e11 = op1(e12,e10)
| e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10) )
& ( e13 = op1(e12,e11)
| e10 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11) )
& ( e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e13 = op1(e10,e13)
| e12 = op1(e10,e13) )
& ( e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e11 = op1(e13,e13)
| e12 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10) )
& ( e11 = op1(e12,e12)
| e10 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) )
& ( e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2053,plain,
( ~ spl42_38
| ~ spl42_228
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f424,f911,f1665,f796]) ).
fof(f1665,plain,
( spl42_228
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).
fof(f424,plain,
( e13 != op1(e13,e10)
| ~ sP24
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e11 = op1(e10,e11)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2036,plain,
( spl42_44
| spl42_240
| spl42_81
| spl42_85 ),
inference(avatar_split_clause,[],[f119,f1004,f987,f1737,f823]) ).
fof(f987,plain,
( spl42_81
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).
fof(f119,plain,
( e21 = op2(e22,e22)
| e23 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2035,plain,
( spl42_73
| spl42_241
| spl42_252
| spl42_94 ),
inference(avatar_split_clause,[],[f291,f1045,f1821,f1742,f950]) ).
fof(f291,plain,
( e11 = op1(e12,e11)
| e11 = op1(e13,e11)
| e11 = op1(e10,e11)
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2026,plain,
( ~ spl42_42
| spl42_96 ),
inference(avatar_split_clause,[],[f193,f1054,f813]) ).
fof(f193,plain,
( e23 = op2(e22,e23)
| ~ sP1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e23 = op2(e22,e23)
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f2025,plain,
( ~ spl42_230
| ~ spl42_186
| ~ spl42_135 ),
inference(avatar_split_clause,[],[f2024,f1219,f1458,f1675]) ).
fof(f2024,plain,
( ~ sP7
| e23 != op2(e23,e20)
| e20 != h4(e10) ),
inference(forward_demodulation,[],[f159,f245]) ).
fof(f159,plain,
( ~ sP7
| e23 != op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e22 = op2(e20,e22)
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f2022,plain,
~ spl42_217,
inference(avatar_split_clause,[],[f2021,f1610]) ).
fof(f1610,plain,
( spl42_217
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_217])]) ).
fof(f2021,plain,
~ sP41,
inference(subsumption_resolution,[],[f544,f1924]) ).
fof(f544,plain,
( e21 != h4(e11)
| ~ sP41 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e11) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e11) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f2014,plain,
( spl42_205
| spl42_127
| spl42_233
| spl42_154 ),
inference(avatar_split_clause,[],[f306,f1311,f1697,f1184,f1555]) ).
fof(f306,plain,
( e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2012,plain,
( spl42_144
| spl42_265
| spl42_261
| spl42_53 ),
inference(avatar_split_clause,[],[f122,f861,f1897,f1936,f1263]) ).
fof(f122,plain,
( e22 = op2(e22,e21)
| e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2008,plain,
( spl42_229
| spl42_77
| spl42_28
| spl42_194
| ~ spl42_71
| spl42_228
| spl42_123
| spl42_43
| spl42_182
| spl42_204
| spl42_93
| spl42_32
| spl42_1
| spl42_65
| spl42_175
| spl42_79 ),
inference(avatar_split_clause,[],[f621,f978,f1405,f915,f641,f770,f1041,f1550,f1441,f818,f1166,f1665,f942,f1504,f752,f969,f1669]) ).
fof(f752,plain,
( spl42_28
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).
fof(f1504,plain,
( spl42_194
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f1166,plain,
( spl42_123
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).
fof(f818,plain,
( spl42_43
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).
fof(f1441,plain,
( spl42_182
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).
fof(f1550,plain,
( spl42_204
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f1041,plain,
( spl42_93
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f641,plain,
( spl42_1
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f915,plain,
( spl42_65
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_65])]) ).
fof(f978,plain,
( spl42_79
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).
fof(f621,plain,
( sP16
| sP23
| sP19
| sP15
| sP26
| sP17
| sP20
| sP28
| sP27
| sP22
| sP24
| e12 != op1(e12,e12)
| sP29
| sP21
| sP25
| sP18 ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f490,plain,
( sP25
| sP20
| sP23
| sP22
| sP26
| sP16
| sP15
| sP21
| sP19
| sP17
| e12 != op1(e12,e12)
| sP24
| sP27
| sP29
| e12 != op1(e12,e12)
| sP18
| sP28 ),
inference(cnf_transformation,[],[f52]) ).
fof(f2000,plain,
( spl42_99
| spl42_205
| spl42_153
| spl42_268 ),
inference(avatar_split_clause,[],[f297,f1962,f1306,f1555,f1067]) ).
fof(f297,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1994,plain,
( ~ spl42_134
| spl42_3 ),
inference(avatar_split_clause,[],[f206,f650,f1215]) ).
fof(f1215,plain,
( spl42_134
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).
fof(f206,plain,
( e21 = op2(e21,e23)
| e23 != op2(e21,e21) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1974,plain,
( spl42_200
| spl42_143
| spl42_257
| spl42_139 ),
inference(avatar_split_clause,[],[f1973,f1238,f1863,f1259,f1532]) ).
fof(f1973,plain,
( e20 = h1(e10)
| e22 = h3(e10)
| e21 = op2(e21,e21)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f1972,f394]) ).
fof(f1972,plain,
( e22 = op2(e22,e22)
| e20 = h1(e10)
| e23 = op2(e23,e23)
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[],[f203,f254]) ).
fof(f203,plain,
( e20 = op2(e20,e20)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23)
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1965,plain,
( spl42_268
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f401,f1504,f1962]) ).
fof(f401,plain,
( ~ sP29
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& e13 = op1(e12,e13)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f1960,plain,
( spl42_68
| spl42_41
| spl42_143
| spl42_3 ),
inference(avatar_split_clause,[],[f264,f650,f1259,f809,f929]) ).
fof(f264,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22) )
& ( e23 = op2(e23,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23
| e23 = op2(e20,e23) )
& ( e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) )
& ( e22 = op2(e20,e21)
| op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e22) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23) )
& ( e21 = op2(e21,e23)
| e21 = op2(e20,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e21,e20) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23)
| e20 = op2(e23,e22) )
& ( e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e23)
| e23 = op2(e20,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23) )
& ( e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20)
| e22 = op2(e21,e23) )
& ( e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| op2(e20,e20) = e23 )
& ( e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e22,e20) )
& ( e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) )
& ( e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) )
& ( e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| e21 = op2(e22,e22) )
& ( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| op2(e20,e20) = e21
| e21 = op2(e21,e20) )
& ( e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| op2(e20,e20) = e21 )
& ( e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20)
| e21 = op2(e21,e23) )
& ( e22 = op2(e23,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e21) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1957,plain,
( ~ spl42_199
| spl42_186 ),
inference(avatar_split_clause,[],[f201,f1458,f1528]) ).
fof(f201,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1949,plain,
spl42_199,
inference(avatar_split_clause,[],[f242,f1528]) ).
fof(f242,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1948,plain,
( spl42_40
| spl42_255
| spl42_179
| spl42_47 ),
inference(avatar_split_clause,[],[f273,f835,f1423,f1841,f805]) ).
fof(f273,plain,
( e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1925,plain,
( spl42_69
| spl42_143
| spl42_134
| spl42_40 ),
inference(avatar_split_clause,[],[f116,f805,f1215,f1259,f933]) ).
fof(f116,plain,
( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1922,plain,
( spl42_262
| spl42_59
| spl42_252
| spl42_67 ),
inference(avatar_split_clause,[],[f234,f924,f1821,f888,f1919]) ).
fof(f234,plain,
( e13 = op1(e13,e11)
| e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1913,plain,
( ~ spl42_89
| spl42_54 ),
inference(avatar_split_clause,[],[f128,f866,f1022]) ).
fof(f128,plain,
( e20 = op2(e21,e20)
| ~ sP14 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e20 = op2(e21,e20)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1911,plain,
( ~ spl42_130
| ~ spl42_143 ),
inference(avatar_split_clause,[],[f625,f1259,f1199]) ).
fof(f625,plain,
( e21 != op2(e21,e21)
| ~ sP13 ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& e22 = op2(e21,e22) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1891,plain,
( spl42_1
| spl42_204
| spl42_182
| spl42_194
| spl42_65
| spl42_229
| spl42_228
| spl42_43
| spl42_28
| spl42_93
| spl42_77
| spl42_175
| spl42_123
| spl42_32
| spl42_79
| spl42_71 ),
inference(avatar_split_clause,[],[f489,f942,f978,f770,f1166,f1405,f969,f1041,f752,f818,f1665,f1669,f915,f1504,f1441,f1550,f641]) ).
fof(f489,plain,
( e12 = op1(e12,e12)
| sP16
| sP26
| sP22
| sP23
| sP25
| sP17
| sP21
| sP27
| sP24
| sP18
| sP19
| sP29
| sP28
| sP20
| sP15 ),
inference(cnf_transformation,[],[f52]) ).
fof(f1890,plain,
( spl42_124
| spl42_71
| spl42_31
| spl42_205 ),
inference(avatar_split_clause,[],[f223,f1555,f765,f942,f1171]) ).
fof(f223,plain,
( e13 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1888,plain,
( ~ spl42_209
| ~ spl42_213
| ~ spl42_222
| ~ spl42_260
| spl42_177
| ~ spl42_226
| ~ spl42_215
| ~ spl42_220
| ~ spl42_214
| ~ spl42_221
| ~ spl42_224
| ~ spl42_216
| ~ spl42_210
| ~ spl42_219
| ~ spl42_218
| spl42_217
| ~ spl42_225
| ~ spl42_211
| ~ spl42_212
| spl42_147 ),
inference(avatar_split_clause,[],[f604,f1276,f1590,f1586,f1642,f1610,f1614,f1618,f1582,f1606,f1638,f1626,f1598,f1622,f1602,f1646,f1414,f1885,f1630,f1594,f1578]) ).
fof(f1276,plain,
( spl42_147
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f604,plain,
( sP40
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP41
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| sP39
| e23 != h4(e13)
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e23 != h4(e12)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e13) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP41
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP40
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP39
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) )
& ( ( e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e10) )
| sP38
| sP37
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP36
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) )
& ( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e13) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP35
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP34
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP33
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| ( e20 != h3(e13)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e10) )
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| sP32
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP31
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP30
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ) ),
inference(definition_folding,[],[f20,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f53,plain,
( ( e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e11) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13)
& e21 != h3(e12) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e12) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e21 != h1(e13)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e11) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f63,plain,
( ( e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f20,plain,
( ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e23 != h4(e12)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e13) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e11) )
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12) )
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) )
& ( ( e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e10) )
| ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e11) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e11) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| ( e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12) )
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) )
& ( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e13) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| ( e21 != h1(e13)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e10) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| ( e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e12) )
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| ( e20 != h3(e13)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e10) )
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| ( e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13)
& e21 != h3(e12) )
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e11) )
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e20 = h1(e13)
| e20 = h1(e10)
| e20 = h1(e11)
| e20 = h1(e12) )
& ( e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e11)
| e22 = h1(e12) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e13) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e13)
| e21 = h1(e12) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) )
| ( ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e11) )
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e12) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e11)
| e23 = h2(e13) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
| ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e21 = h4(e10)
| e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11) )
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e22 = h4(e11)
| e22 = h4(e10)
| e22 = h4(e13)
| e22 = h4(e12) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
| ( ( e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10)
| e23 = h3(e13) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e21 = h3(e12)
| e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e11) )
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e10)
| e22 = h3(e12)
| e22 = h3(e13)
| e22 = h3(e11) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e20 = h1(e13)
| e20 = h1(e10)
| e20 = h1(e11)
| e20 = h1(e12) )
& ( e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e11)
| e22 = h1(e12) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e13) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e13)
| e21 = h1(e12) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) )
| ( ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e11) )
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e12) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e11)
| e23 = h2(e13) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
| ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e21 = h4(e10)
| e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11) )
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e22 = h4(e11)
| e22 = h4(e10)
| e22 = h4(e13)
| e22 = h4(e12) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
| ( ( e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10)
| e23 = h3(e13) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e21 = h3(e12)
| e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e11) )
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e10)
| e22 = h3(e12)
| e22 = h3(e13)
| e22 = h3(e11) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1874,plain,
( ~ spl42_79
| ~ spl42_71 ),
inference(avatar_split_clause,[],[f626,f942,f978]) ).
fof(f626,plain,
( e12 != op1(e12,e12)
| ~ sP16 ),
inference(duplicate_literal_removal,[],[f465]) ).
fof(f465,plain,
( e12 != op1(e12,e12)
| ~ sP16
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& e10 = op1(e12,e10)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1866,plain,
( spl42_257
| ~ spl42_63 ),
inference(avatar_split_clause,[],[f1861,f906,f1863]) ).
fof(f1861,plain,
( ~ sP3
| e22 = h3(e10) ),
inference(forward_demodulation,[],[f182,f394]) ).
fof(f182,plain,
( ~ sP3
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& e22 = op2(e22,e22)
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1844,plain,
( spl42_254
| spl42_3
| spl42_189
| spl42_255 ),
inference(avatar_split_clause,[],[f118,f1841,f1475,f650,f1837]) ).
fof(f118,plain,
( e22 = op2(e21,e23)
| e23 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1827,plain,
( ~ spl42_186
| ~ spl42_70
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f1826,f1675,f937,f1458]) ).
fof(f1826,plain,
( e20 != h4(e10)
| ~ sP2
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[],[f188,f245]) ).
fof(f188,plain,
( e23 != op2(e23,e20)
| ~ sP2
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& e20 = op2(e20,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1801,plain,
( spl42_247
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f484,f1796,f1792]) ).
fof(f484,plain,
( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1789,plain,
( ~ spl42_73
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f629,f752,f950]) ).
fof(f629,plain,
( ~ sP21
| e11 != op1(e11,e11) ),
inference(duplicate_literal_removal,[],[f440]) ).
fof(f440,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e12 = op1(e11,e12)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1747,plain,
( ~ spl42_186
| ~ spl42_230
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f1746,f1036,f1675,f1458]) ).
fof(f1746,plain,
( ~ sP4
| e20 != h4(e10)
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[],[f178,f245]) ).
fof(f178,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP4 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e20,e21)
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1745,plain,
( spl42_87
| spl42_241
| spl42_234
| spl42_27 ),
inference(avatar_split_clause,[],[f300,f748,f1701,f1742,f1013]) ).
fof(f300,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1724,plain,
( ~ spl42_43
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f630,f950,f818]) ).
fof(f630,plain,
( e11 != op1(e11,e11)
| ~ sP27 ),
inference(duplicate_literal_removal,[],[f409]) ).
fof(f409,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e10 = op1(e11,e10)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f1723,plain,
( spl42_88
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f452,f915,f1017]) ).
fof(f452,plain,
( ~ sP19
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& e13 = op1(e10,e13)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1721,plain,
( ~ spl42_82
| spl42_237 ),
inference(avatar_split_clause,[],[f1716,f1718,f991]) ).
fof(f1716,plain,
( e23 = h4(e10)
| ~ sP12 ),
inference(forward_demodulation,[],[f134,f245]) ).
fof(f134,plain,
( e23 = op2(e23,e23)
| ~ sP12 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& e23 = op2(e23,e23) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1693,plain,
( spl42_197
| spl42_148
| spl42_76
| spl42_36 ),
inference(avatar_split_clause,[],[f233,f788,f965,f1282,f1519]) ).
fof(f233,plain,
( e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1691,plain,
( spl42_179
| spl42_142
| spl42_184
| spl42_181 ),
inference(avatar_split_clause,[],[f1690,f1434,f1450,f1254,f1423]) ).
fof(f1690,plain,
( e22 = h1(e10)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f277,f254]) ).
fof(f277,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1678,plain,
( ~ spl42_147
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f551,f1675,f1276]) ).
fof(f551,plain,
( e20 != h4(e10)
| ~ sP40 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1673,plain,
spl42_38,
inference(avatar_split_clause,[],[f238,f796]) ).
fof(f238,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1662,plain,
( ~ spl42_143
| ~ spl42_137 ),
inference(avatar_split_clause,[],[f633,f1227,f1259]) ).
fof(f633,plain,
( ~ sP8
| e21 != op2(e21,e21) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
( ~ sP8
| e21 != op2(e21,e21)
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e21 = op2(e21,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1661,plain,
( ~ spl42_89
| ~ spl42_143 ),
inference(avatar_split_clause,[],[f634,f1259,f1022]) ).
fof(f634,plain,
( e21 != op2(e21,e21)
| ~ sP14 ),
inference(duplicate_literal_removal,[],[f126]) ).
fof(f126,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP14 ),
inference(cnf_transformation,[],[f66]) ).
fof(f1660,plain,
( spl42_46
| spl42_58
| spl42_84
| spl42_227 ),
inference(avatar_split_clause,[],[f117,f1657,f1000,f883,f831]) ).
fof(f117,plain,
( e23 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1569,plain,
( spl42_190
| spl42_59
| spl42_207
| spl42_30 ),
inference(avatar_split_clause,[],[f305,f761,f1566,f888,f1480]) ).
fof(f305,plain,
( e12 = op1(e12,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1563,plain,
( ~ spl42_131
| spl42_55 ),
inference(avatar_split_clause,[],[f170,f870,f1203]) ).
fof(f170,plain,
( e20 = op2(e23,e20)
| ~ sP5 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& e20 = op2(e23,e20)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1553,plain,
( spl42_203
| ~ spl42_204 ),
inference(avatar_split_clause,[],[f444,f1550,f1546]) ).
fof(f444,plain,
( ~ sP20
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1544,plain,
( spl42_2
| spl42_154
| spl42_201
| spl42_202 ),
inference(avatar_split_clause,[],[f221,f1541,f1537,f1311,f645]) ).
fof(f221,plain,
( e11 = op1(e13,e12)
| e10 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1490,plain,
( spl42_37
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f495,f1063,f792]) ).
fof(f495,plain,
( op1(e10,e10) != e13
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1467,plain,
( ~ spl42_130
| spl42_47 ),
inference(avatar_split_clause,[],[f129,f835,f1199]) ).
fof(f129,plain,
( e22 = op2(e21,e22)
| ~ sP13 ),
inference(cnf_transformation,[],[f67]) ).
fof(f1448,plain,
( ~ spl42_182
| spl42_183 ),
inference(avatar_split_clause,[],[f404,f1445,f1441]) ).
fof(f404,plain,
( e10 = op1(e13,e10)
| ~ sP28 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& e10 = op1(e13,e10) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f1438,plain,
( spl42_80
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f209,f987,f983]) ).
fof(f209,plain,
( e23 != op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1426,plain,
( spl42_54
| spl42_178
| spl42_68
| spl42_179 ),
inference(avatar_split_clause,[],[f111,f1423,f929,f1419,f866]) ).
fof(f111,plain,
( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e23 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1403,plain,
( spl42_64
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f477,f796,f911]) ).
fof(f477,plain,
( e10 != op1(e13,e13)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1296,plain,
( ~ spl42_136
| ~ spl42_44 ),
inference(avatar_split_clause,[],[f636,f823,f1223]) ).
fof(f636,plain,
( e22 != op2(e22,e22)
| ~ sP10 ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
( e22 != op2(e22,e22)
| ~ sP10
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e20 = op2(e22,e20) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1270,plain,
( spl42_143
| spl42_144
| spl42_145
| spl42_62 ),
inference(avatar_split_clause,[],[f257,f901,f1267,f1263,f1259]) ).
fof(f257,plain,
( e21 = op2(e23,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1257,plain,
( spl42_56
| spl42_140
| spl42_141
| spl42_142 ),
inference(avatar_split_clause,[],[f113,f1254,f1250,f1246,f874]) ).
fof(f113,plain,
( e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1244,plain,
( ~ spl42_136
| spl42_56 ),
inference(avatar_split_clause,[],[f144,f874,f1223]) ).
fof(f144,plain,
( e20 = op2(e22,e20)
| ~ sP10 ),
inference(cnf_transformation,[],[f70]) ).
fof(f1195,plain,
( spl42_126
| spl42_127
| spl42_128
| spl42_129 ),
inference(avatar_split_clause,[],[f226,f1192,f1188,f1184,f1180]) ).
fof(f226,plain,
( e10 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1178,plain,
( spl42_78
| spl42_124
| spl42_39
| spl42_125 ),
inference(avatar_split_clause,[],[f319,f1175,f800,f1171,f974]) ).
fof(f319,plain,
( e10 = op1(e12,e11)
| e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1169,plain,
( ~ spl42_64
| ~ spl42_123
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f434,f796,f1166,f911]) ).
fof(f434,plain,
( e10 != op1(e13,e13)
| ~ sP22
| e13 != op1(e13,e10) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e10 = op1(e10,e10)
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1048,plain,
( ~ spl42_93
| spl42_94 ),
inference(avatar_split_clause,[],[f463,f1045,f1041]) ).
fof(f463,plain,
( e11 = op1(e12,e11)
| ~ sP17 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e11 = op1(e12,e11)
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f981,plain,
( spl42_78
| ~ spl42_79 ),
inference(avatar_split_clause,[],[f466,f978,f974]) ).
fof(f466,plain,
( ~ sP16
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f94]) ).
fof(f953,plain,
( spl42_71
| spl42_33
| spl42_72
| spl42_73 ),
inference(avatar_split_clause,[],[f492,f950,f946,f774,f942]) ).
fof(f492,plain,
( e11 = op1(e11,e11)
| e10 = op1(e10,e10)
| e13 = op1(e13,e13)
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f52]) ).
fof(f909,plain,
( ~ spl42_63
| ~ spl42_44 ),
inference(avatar_split_clause,[],[f638,f823,f906]) ).
fof(f638,plain,
( e22 != op2(e22,e22)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
( e22 != op2(e22,e22)
| ~ sP3
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f77]) ).
fof(f904,plain,
( spl42_62
| ~ spl42_48 ),
inference(avatar_split_clause,[],[f167,f840,f901]) ).
fof(f167,plain,
( ~ sP6
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,e21)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f864,plain,
( spl42_40
| spl42_51
| spl42_52
| spl42_53 ),
inference(avatar_split_clause,[],[f263,f861,f857,f853,f805]) ).
fof(f263,plain,
( e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f648,plain,
( ~ spl42_1
| spl42_2 ),
inference(avatar_split_clause,[],[f470,f645,f641]) ).
fof(f470,plain,
( e12 = op1(e13,e12)
| ~ sP15 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e12 = op1(e13,e12)
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 15:04:32 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (23595)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (23612)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53 % (23604)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (23591)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (23598)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55 % (23586)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (23591)Instruction limit reached!
% 0.21/0.55 % (23591)------------------------------
% 0.21/0.55 % (23591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (23591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (23591)Termination reason: Unknown
% 0.21/0.55 % (23591)Termination phase: shuffling
% 0.21/0.55
% 0.21/0.55 % (23591)Memory used [KB]: 1023
% 0.21/0.55 % (23591)Time elapsed: 0.004 s
% 0.21/0.55 % (23591)Instructions burned: 2 (million)
% 0.21/0.55 % (23591)------------------------------
% 0.21/0.55 % (23591)------------------------------
% 0.21/0.55 % (23605)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.55 % (23599)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (23587)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (23607)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (23606)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56 % (23585)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (23583)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.56 % (23611)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56 % (23610)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.52/0.56 % (23601)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56 % (23593)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.56 % (23603)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.52/0.56 % (23600)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.56 % (23597)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.52/0.57 % (23584)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.57 % (23608)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.57 % (23596)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.52/0.57 % (23589)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.57 % (23592)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.57 % (23588)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.52/0.58 % (23590)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.58 % (23594)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.58 % (23590)Instruction limit reached!
% 1.52/0.58 % (23590)------------------------------
% 1.52/0.58 % (23590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58 % (23590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58 % (23590)Termination reason: Unknown
% 1.52/0.58 % (23590)Termination phase: Property scanning
% 1.52/0.58
% 1.52/0.58 % (23590)Memory used [KB]: 1151
% 1.52/0.58 % (23590)Time elapsed: 0.004 s
% 1.52/0.58 % (23590)Instructions burned: 8 (million)
% 1.52/0.58 % (23590)------------------------------
% 1.52/0.58 % (23590)------------------------------
% 1.63/0.58 % (23609)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.63/0.58 % (23602)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.63/0.59 % (23586)Instruction limit reached!
% 1.63/0.59 % (23586)------------------------------
% 1.63/0.59 % (23586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (23586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (23586)Termination reason: Unknown
% 1.63/0.59 % (23586)Termination phase: Property scanning
% 1.63/0.59
% 1.63/0.59 % (23586)Memory used [KB]: 1791
% 1.63/0.59 % (23586)Time elapsed: 0.021 s
% 1.63/0.59 % (23586)Instructions burned: 54 (million)
% 1.63/0.59 % (23586)------------------------------
% 1.63/0.59 % (23586)------------------------------
% 1.63/0.61 % (23585)Instruction limit reached!
% 1.63/0.61 % (23585)------------------------------
% 1.63/0.61 % (23585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61 % (23585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61 % (23585)Termination reason: Unknown
% 1.63/0.61 % (23585)Termination phase: Saturation
% 1.63/0.61
% 1.63/0.61 % (23585)Memory used [KB]: 1407
% 1.63/0.61 % (23585)Time elapsed: 0.019 s
% 1.63/0.61 % (23585)Instructions burned: 37 (million)
% 1.63/0.61 % (23585)------------------------------
% 1.63/0.61 % (23585)------------------------------
% 1.63/0.61 % (23587)Instruction limit reached!
% 1.63/0.61 % (23587)------------------------------
% 1.63/0.61 % (23587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61 % (23587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61 % (23587)Termination reason: Unknown
% 1.63/0.61 % (23587)Termination phase: Saturation
% 1.63/0.61
% 1.63/0.61 % (23587)Memory used [KB]: 6780
% 1.63/0.61 % (23587)Time elapsed: 0.022 s
% 1.63/0.61 % (23587)Instructions burned: 53 (million)
% 1.63/0.61 % (23587)------------------------------
% 1.63/0.61 % (23587)------------------------------
% 1.63/0.62 % (23584)Instruction limit reached!
% 1.63/0.62 % (23584)------------------------------
% 1.63/0.62 % (23584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (23584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (23584)Termination reason: Unknown
% 1.96/0.64 % (23584)Termination phase: Saturation
% 1.96/0.64
% 1.96/0.64 % (23584)Memory used [KB]: 6780
% 1.96/0.64 % (23584)Time elapsed: 0.025 s
% 1.96/0.64 % (23584)Instructions burned: 51 (million)
% 1.96/0.64 % (23584)------------------------------
% 1.96/0.64 % (23584)------------------------------
% 1.96/0.64 % (23600)Instruction limit reached!
% 1.96/0.64 % (23600)------------------------------
% 1.96/0.64 % (23600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (23600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (23600)Termination reason: Unknown
% 1.96/0.64 % (23600)Termination phase: Finite model building preprocessing
% 1.96/0.64
% 1.96/0.64 % (23600)Memory used [KB]: 2430
% 1.96/0.64 % (23600)Time elapsed: 0.026 s
% 1.96/0.64 % (23600)Instructions burned: 59 (million)
% 1.96/0.64 % (23600)------------------------------
% 1.96/0.64 % (23600)------------------------------
% 1.96/0.64 % (23593)Instruction limit reached!
% 1.96/0.64 % (23593)------------------------------
% 1.96/0.64 % (23593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (23593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (23593)Termination reason: Unknown
% 1.96/0.64 % (23593)Termination phase: Saturation
% 1.96/0.64
% 1.96/0.64 % (23593)Memory used [KB]: 6780
% 1.96/0.64 % (23593)Time elapsed: 0.024 s
% 1.96/0.64 % (23593)Instructions burned: 50 (million)
% 1.96/0.64 % (23593)------------------------------
% 1.96/0.64 % (23593)------------------------------
% 2.11/0.65 % (23592)Instruction limit reached!
% 2.11/0.65 % (23592)------------------------------
% 2.11/0.65 % (23592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65 % (23592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65 % (23592)Termination reason: Unknown
% 2.11/0.65 % (23592)Termination phase: Saturation
% 2.11/0.65
% 2.11/0.65 % (23592)Memory used [KB]: 1407
% 2.11/0.65 % (23592)Time elapsed: 0.026 s
% 2.11/0.65 % (23592)Instructions burned: 52 (million)
% 2.11/0.65 % (23592)------------------------------
% 2.11/0.65 % (23592)------------------------------
% 2.11/0.65 % (23589)Instruction limit reached!
% 2.11/0.65 % (23589)------------------------------
% 2.11/0.65 % (23589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65 % (23589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65 % (23589)Termination reason: Unknown
% 2.11/0.65 % (23589)Termination phase: Finite model building preprocessing
% 2.11/0.65
% 2.11/0.65 % (23589)Memory used [KB]: 2430
% 2.11/0.65 % (23589)Time elapsed: 0.021 s
% 2.11/0.65 % (23589)Instructions burned: 52 (million)
% 2.11/0.65 % (23589)------------------------------
% 2.11/0.65 % (23589)------------------------------
% 2.11/0.65 % (23588)Instruction limit reached!
% 2.11/0.65 % (23588)------------------------------
% 2.11/0.65 % (23588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66 % (23598)Instruction limit reached!
% 2.11/0.66 % (23598)------------------------------
% 2.11/0.66 % (23598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66 % (23598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.66 % (23598)Termination reason: Unknown
% 2.11/0.66 % (23598)Termination phase: Saturation
% 2.11/0.66
% 2.11/0.66 % (23598)Memory used [KB]: 1791
% 2.11/0.66 % (23598)Time elapsed: 0.082 s
% 2.11/0.66 % (23598)Instructions burned: 75 (million)
% 2.11/0.66 % (23598)------------------------------
% 2.11/0.66 % (23598)------------------------------
% 2.11/0.66 % (23588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.66 % (23588)Termination reason: Unknown
% 2.11/0.66 % (23588)Termination phase: Saturation
% 2.11/0.66
% 2.11/0.66 % (23588)Memory used [KB]: 6908
% 2.11/0.66 % (23588)Time elapsed: 0.190 s
% 2.11/0.66 % (23588)Instructions burned: 49 (million)
% 2.11/0.66 % (23588)------------------------------
% 2.11/0.66 % (23588)------------------------------
% 2.11/0.67 % (23604)First to succeed.
% 2.11/0.68 % (23595)Instruction limit reached!
% 2.11/0.68 % (23595)------------------------------
% 2.11/0.68 % (23595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.68 % (23595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.68 % (23595)Termination reason: Unknown
% 2.11/0.68 % (23595)Termination phase: Saturation
% 2.11/0.68
% 2.11/0.68 % (23595)Memory used [KB]: 7547
% 2.11/0.68 % (23595)Time elapsed: 0.233 s
% 2.11/0.68 % (23595)Instructions burned: 101 (million)
% 2.11/0.68 % (23595)------------------------------
% 2.11/0.68 % (23595)------------------------------
% 2.11/0.68 % (23609)Instruction limit reached!
% 2.11/0.68 % (23609)------------------------------
% 2.11/0.68 % (23609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.68 % (23609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.68 % (23609)Termination reason: Unknown
% 2.11/0.68 % (23609)Termination phase: Saturation
% 2.11/0.68
% 2.11/0.68 % (23609)Memory used [KB]: 7164
% 2.11/0.68 % (23609)Time elapsed: 0.035 s
% 2.11/0.68 % (23609)Instructions burned: 69 (million)
% 2.11/0.68 % (23609)------------------------------
% 2.11/0.68 % (23609)------------------------------
% 2.11/0.70 % (23597)Instruction limit reached!
% 2.11/0.70 % (23597)------------------------------
% 2.11/0.70 % (23597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.70 % (23597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.70 % (23597)Termination reason: Unknown
% 2.11/0.70 % (23597)Termination phase: Saturation
% 2.11/0.70
% 2.11/0.70 % (23597)Memory used [KB]: 7036
% 2.11/0.70 % (23597)Time elapsed: 0.034 s
% 2.11/0.70 % (23597)Instructions burned: 69 (million)
% 2.11/0.70 % (23597)------------------------------
% 2.11/0.70 % (23597)------------------------------
% 2.11/0.71 % (23594)Instruction limit reached!
% 2.11/0.71 % (23594)------------------------------
% 2.11/0.71 % (23594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.71 % (23594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.71 % (23594)Termination reason: Unknown
% 2.11/0.71 % (23594)Termination phase: Saturation
% 2.11/0.71
% 2.11/0.71 % (23594)Memory used [KB]: 7675
% 2.11/0.71 % (23594)Time elapsed: 0.039 s
% 2.11/0.71 % (23594)Instructions burned: 101 (million)
% 2.11/0.71 % (23594)------------------------------
% 2.11/0.71 % (23594)------------------------------
% 2.11/0.71 % (23602)Instruction limit reached!
% 2.11/0.71 % (23602)------------------------------
% 2.11/0.71 % (23602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.71 % (23602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.71 % (23602)Termination reason: Unknown
% 2.11/0.71 % (23602)Termination phase: Saturation
% 2.11/0.71
% 2.11/0.71 % (23602)Memory used [KB]: 1663
% 2.11/0.71 % (23602)Time elapsed: 0.284 s
% 2.11/0.71 % (23602)Instructions burned: 101 (million)
% 2.11/0.71 % (23602)------------------------------
% 2.11/0.71 % (23602)------------------------------
% 2.11/0.71 % (23599)Instruction limit reached!
% 2.11/0.71 % (23599)------------------------------
% 2.11/0.71 % (23599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.71 % (23599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.71 % (23599)Termination reason: Unknown
% 2.11/0.71 % (23599)Termination phase: Saturation
% 2.11/0.71
% 2.11/0.71 % (23599)Memory used [KB]: 7164
% 2.11/0.71 % (23599)Time elapsed: 0.280 s
% 2.11/0.71 % (23599)Instructions burned: 100 (million)
% 2.11/0.71 % (23599)------------------------------
% 2.11/0.71 % (23599)------------------------------
% 2.51/0.72 TRYING [8]
% 2.51/0.72 % (23604)Refutation found. Thanks to Tanya!
% 2.51/0.72 % SZS status Theorem for theBenchmark
% 2.51/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/0.73 % (23604)------------------------------
% 2.51/0.73 % (23604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.73 % (23604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.73 % (23604)Termination reason: Refutation
% 2.51/0.73
% 2.51/0.73 % (23604)Memory used [KB]: 8059
% 2.51/0.73 % (23604)Time elapsed: 0.092 s
% 2.51/0.73 % (23604)Instructions burned: 90 (million)
% 2.51/0.73 % (23604)------------------------------
% 2.51/0.73 % (23604)------------------------------
% 2.51/0.73 % (23582)Success in time 0.353 s
%------------------------------------------------------------------------------