TSTP Solution File: ALG114+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG114+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 : n001.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 15:42:49 EDT 2022
% Result : Theorem 2.20s 0.68s
% Output : Refutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 164
% Syntax : Number of formulae : 697 ( 93 unt; 0 def)
% Number of atoms : 2868 (1782 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3453 (1282 ~;1488 |; 556 &)
% ( 127 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 149 ( 147 usr; 148 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3275,plain,
$false,
inference(avatar_sat_refutation,[],[f561,f729,f823,f956,f1117,f1202,f1303,f1331,f1370,f1373,f1414,f1420,f1440,f1503,f1504,f1509,f1510,f1519,f1525,f1543,f1591,f1602,f1622,f1626,f1647,f1665,f1671,f1680,f1685,f1691,f1693,f1699,f1713,f1727,f1728,f1754,f1795,f1814,f1827,f1838,f1863,f1866,f1870,f1875,f1881,f1895,f1971,f1994,f2024,f2025,f2026,f2028,f2029,f2030,f2031,f2039,f2041,f2060,f2073,f2088,f2096,f2124,f2175,f2181,f2213,f2247,f2259,f2305,f2319,f2320,f2325,f2327,f2331,f2358,f2367,f2370,f2374,f2399,f2430,f2457,f2468,f2472,f2484,f2492,f2497,f2528,f2567,f2576,f2581,f2598,f2603,f2605,f2623,f2626,f2639,f2660,f2674,f2696,f2698,f2705,f2731,f2734,f2748,f2781,f2790,f2817,f2819,f2829,f2838,f2840,f2892,f2894,f2942,f2948,f2965,f2980,f3008,f3021,f3055,f3076,f3096,f3108,f3127,f3157,f3170,f3187,f3204,f3207,f3210,f3251,f3254]) ).
fof(f3254,plain,
( ~ spl20_42
| ~ spl20_155 ),
inference(avatar_contradiction_clause,[],[f3253]) ).
fof(f3253,plain,
( $false
| ~ spl20_42
| ~ spl20_155 ),
inference(subsumption_resolution,[],[f3252,f282]) ).
fof(f282,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e23
& e21 != e22
& e20 != e21
& e20 != e22
& e22 != e23
& e21 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f3252,plain,
( e22 = e23
| ~ spl20_42
| ~ spl20_155 ),
inference(forward_demodulation,[],[f632,f1112]) ).
fof(f1112,plain,
( e22 = h1(e13)
| ~ spl20_155 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1110,plain,
( spl20_155
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).
fof(f632,plain,
( e23 = h1(e13)
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl20_42
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f3251,plain,
( ~ spl20_29
| ~ spl20_181 ),
inference(avatar_contradiction_clause,[],[f3250]) ).
fof(f3250,plain,
( $false
| ~ spl20_29
| ~ spl20_181 ),
inference(subsumption_resolution,[],[f2438,f573]) ).
fof(f573,plain,
( e20 = op2(e21,e20)
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl20_29
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f2438,plain,
( e20 != op2(e21,e20)
| ~ spl20_181 ),
inference(forward_demodulation,[],[f1372,f1241]) ).
fof(f1241,plain,
( e20 = h2(e13)
| ~ spl20_181 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1240,plain,
( spl20_181
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_181])]) ).
fof(f1372,plain,
op2(e21,e20) != h2(e13),
inference(forward_demodulation,[],[f257,f339]) ).
fof(f339,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& e21 = h2(e12)
& op2(e21,e21) = h2(e13)
& h2(e10) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f257,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e20) != op2(e23,e21)
& op2(e20,e20) != op2(e21,e20)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e20,e23) != op2(e22,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e23,e20) != op2(e23,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e20) != op2(e22,e22)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e21) != op2(e22,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f3210,plain,
( ~ spl20_227
| ~ spl20_245 ),
inference(avatar_split_clause,[],[f2863,f1599,f1496]) ).
fof(f1496,plain,
( spl20_227
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_227])]) ).
fof(f1599,plain,
( spl20_245
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_245])]) ).
fof(f2863,plain,
( e22 != op2(e22,e21)
| ~ spl20_245 ),
inference(forward_demodulation,[],[f242,f1601]) ).
fof(f1601,plain,
( e22 = op2(e23,e21)
| ~ spl20_245 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f242,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3207,plain,
( ~ spl20_1
| ~ spl20_116 ),
inference(avatar_contradiction_clause,[],[f3206]) ).
fof(f3206,plain,
( $false
| ~ spl20_1
| ~ spl20_116 ),
inference(subsumption_resolution,[],[f3205,f285]) ).
fof(f285,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3205,plain,
( e21 = e22
| ~ spl20_1
| ~ spl20_116 ),
inference(forward_demodulation,[],[f453,f942]) ).
fof(f942,plain,
( e21 = op2(e23,e23)
| ~ spl20_116 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl20_116
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).
fof(f453,plain,
( e22 = op2(e23,e23)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl20_1
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f3204,plain,
( ~ spl20_189
| ~ spl20_25
| spl20_86
| ~ spl20_162 ),
inference(avatar_split_clause,[],[f3203,f1144,f812,f554,f1287]) ).
fof(f1287,plain,
( spl20_189
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).
fof(f554,plain,
( spl20_25
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f812,plain,
( spl20_86
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f1144,plain,
( spl20_162
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_162])]) ).
fof(f3203,plain,
( e20 != op2(e22,e20)
| ~ spl20_25
| spl20_86
| ~ spl20_162 ),
inference(forward_demodulation,[],[f3202,f1736]) ).
fof(f1736,plain,
e20 = h3(e10),
inference(backward_demodulation,[],[f1684,f1735]) ).
fof(f1735,plain,
e20 = op2(h3(e13),e22),
inference(forward_demodulation,[],[f288,f65]) ).
fof(f65,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( e22 = h3(e12)
& op2(op2(e22,e22),e22) = h3(e10)
& op2(e22,e22) = h3(e13)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f288,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e22),e22)
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f1684,plain,
h3(e10) = op2(h3(e13),e22),
inference(backward_demodulation,[],[f66,f65]) ).
fof(f66,plain,
op2(op2(e22,e22),e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f3202,plain,
( op2(e22,e20) != h3(e10)
| ~ spl20_25
| spl20_86
| ~ spl20_162 ),
inference(forward_demodulation,[],[f3201,f1146]) ).
fof(f1146,plain,
( e10 = op1(e12,e10)
| ~ spl20_162 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f3201,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl20_25
| spl20_86 ),
inference(forward_demodulation,[],[f3200,f555]) ).
fof(f555,plain,
( e22 = h3(e12)
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f3200,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| spl20_86 ),
inference(forward_demodulation,[],[f814,f1736]) ).
fof(f814,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl20_86 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f3187,plain,
( ~ spl20_92
| ~ spl20_181 ),
inference(avatar_split_clause,[],[f2872,f1240,f839]) ).
fof(f839,plain,
( spl20_92
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f2872,plain,
( e20 != op2(e20,e21)
| ~ spl20_181 ),
inference(forward_demodulation,[],[f1354,f1241]) ).
fof(f1354,plain,
op2(e20,e21) != h2(e13),
inference(forward_demodulation,[],[f247,f339]) ).
fof(f247,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3170,plain,
( spl20_74
| ~ spl20_87
| ~ spl20_116
| ~ spl20_232
| ~ spl20_250 ),
inference(avatar_contradiction_clause,[],[f3169]) ).
fof(f3169,plain,
( $false
| spl20_74
| ~ spl20_87
| ~ spl20_116
| ~ spl20_232
| ~ spl20_250 ),
inference(subsumption_resolution,[],[f3168,f942]) ).
fof(f3168,plain,
( e21 != op2(e23,e23)
| spl20_74
| ~ spl20_87
| ~ spl20_232
| ~ spl20_250 ),
inference(forward_demodulation,[],[f3167,f817]) ).
fof(f817,plain,
( e21 = h3(e11)
| ~ spl20_87 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl20_87
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f3167,plain,
( op2(e23,e23) != h3(e11)
| spl20_74
| ~ spl20_232
| ~ spl20_250 ),
inference(forward_demodulation,[],[f3166,f1629]) ).
fof(f1629,plain,
( e11 = op1(e13,e13)
| ~ spl20_250 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl20_250
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_250])]) ).
fof(f3166,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl20_74
| ~ spl20_232 ),
inference(forward_demodulation,[],[f766,f1523]) ).
fof(f1523,plain,
( e23 = h3(e13)
| ~ spl20_232 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1522,plain,
( spl20_232
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_232])]) ).
fof(f766,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl20_74 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl20_74
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f3157,plain,
( spl20_84
| ~ spl20_151
| ~ spl20_207
| ~ spl20_232 ),
inference(avatar_contradiction_clause,[],[f3156]) ).
fof(f3156,plain,
( $false
| spl20_84
| ~ spl20_151
| ~ spl20_207
| ~ spl20_232 ),
inference(subsumption_resolution,[],[f3155,f1089]) ).
fof(f1089,plain,
( e23 = op2(e23,e20)
| ~ spl20_151 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1087,plain,
( spl20_151
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_151])]) ).
fof(f3155,plain,
( e23 != op2(e23,e20)
| spl20_84
| ~ spl20_207
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3154,f1523]) ).
fof(f3154,plain,
( op2(e23,e20) != h3(e13)
| spl20_84
| ~ spl20_207
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3153,f1385]) ).
fof(f1385,plain,
( e13 = op1(e13,e10)
| ~ spl20_207 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl20_207
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_207])]) ).
fof(f3153,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| spl20_84
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3152,f1523]) ).
fof(f3152,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl20_84 ),
inference(forward_demodulation,[],[f806,f1736]) ).
fof(f806,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl20_84 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl20_84
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f3127,plain,
( spl20_85
| ~ spl20_87
| ~ spl20_90
| ~ spl20_195
| ~ spl20_232 ),
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f3126,plain,
( $false
| spl20_85
| ~ spl20_87
| ~ spl20_90
| ~ spl20_195
| ~ spl20_232 ),
inference(subsumption_resolution,[],[f3125,f833]) ).
fof(f833,plain,
( e23 = op2(e20,e21)
| ~ spl20_90 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f831,plain,
( spl20_90
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f3125,plain,
( e23 != op2(e20,e21)
| spl20_85
| ~ spl20_87
| ~ spl20_195
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3124,f1523]) ).
fof(f3124,plain,
( op2(e20,e21) != h3(e13)
| spl20_85
| ~ spl20_87
| ~ spl20_195 ),
inference(forward_demodulation,[],[f3123,f1319]) ).
fof(f1319,plain,
( e13 = op1(e10,e11)
| ~ spl20_195 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1317,plain,
( spl20_195
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).
fof(f3123,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl20_85
| ~ spl20_87 ),
inference(forward_demodulation,[],[f3122,f1736]) ).
fof(f3122,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl20_85
| ~ spl20_87 ),
inference(forward_demodulation,[],[f810,f817]) ).
fof(f810,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl20_85 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f808,plain,
( spl20_85
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f3108,plain,
( ~ spl20_28
| spl20_71
| ~ spl20_87
| ~ spl20_167 ),
inference(avatar_contradiction_clause,[],[f3107]) ).
fof(f3107,plain,
( $false
| ~ spl20_28
| spl20_71
| ~ spl20_87
| ~ spl20_167 ),
inference(subsumption_resolution,[],[f3106,f569]) ).
fof(f569,plain,
( e21 = op2(e21,e20)
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl20_28
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f3106,plain,
( e21 != op2(e21,e20)
| spl20_71
| ~ spl20_87
| ~ spl20_167 ),
inference(forward_demodulation,[],[f3105,f817]) ).
fof(f3105,plain,
( op2(e21,e20) != h3(e11)
| spl20_71
| ~ spl20_87
| ~ spl20_167 ),
inference(forward_demodulation,[],[f3104,f1168]) ).
fof(f1168,plain,
( e11 = op1(e11,e10)
| ~ spl20_167 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1166,plain,
( spl20_167
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_167])]) ).
fof(f3104,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| spl20_71
| ~ spl20_87 ),
inference(forward_demodulation,[],[f3103,f817]) ).
fof(f3103,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl20_71 ),
inference(forward_demodulation,[],[f754,f1736]) ).
fof(f754,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl20_71 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl20_71
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f3096,plain,
( spl20_77
| ~ spl20_160
| ~ spl20_232
| ~ spl20_252 ),
inference(avatar_contradiction_clause,[],[f3095]) ).
fof(f3095,plain,
( $false
| spl20_77
| ~ spl20_160
| ~ spl20_232
| ~ spl20_252 ),
inference(subsumption_resolution,[],[f3094,f1646]) ).
fof(f1646,plain,
( e20 = op2(e20,e23)
| ~ spl20_252 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1644,plain,
( spl20_252
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_252])]) ).
fof(f3094,plain,
( e20 != op2(e20,e23)
| spl20_77
| ~ spl20_160
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3093,f1736]) ).
fof(f3093,plain,
( op2(e20,e23) != h3(e10)
| spl20_77
| ~ spl20_160
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3092,f1137]) ).
fof(f1137,plain,
( e10 = op1(e10,e13)
| ~ spl20_160 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1135,plain,
( spl20_160
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_160])]) ).
fof(f3092,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| spl20_77
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3091,f1736]) ).
fof(f3091,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl20_77
| ~ spl20_232 ),
inference(forward_demodulation,[],[f778,f1523]) ).
fof(f778,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl20_77 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl20_77
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f3076,plain,
( ~ spl20_25
| ~ spl20_33
| spl20_73
| ~ spl20_288 ),
inference(avatar_contradiction_clause,[],[f3075]) ).
fof(f3075,plain,
( $false
| ~ spl20_25
| ~ spl20_33
| spl20_73
| ~ spl20_288 ),
inference(subsumption_resolution,[],[f3074,f1980]) ).
fof(f1980,plain,
( op2(e20,e20) = e22
| ~ spl20_288 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f1978,plain,
( spl20_288
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_288])]) ).
fof(f3074,plain,
( op2(e20,e20) != e22
| ~ spl20_25
| ~ spl20_33
| spl20_73 ),
inference(forward_demodulation,[],[f3073,f555]) ).
fof(f3073,plain,
( op2(e20,e20) != h3(e12)
| ~ spl20_33
| spl20_73 ),
inference(forward_demodulation,[],[f3072,f591]) ).
fof(f591,plain,
( op1(e10,e10) = e12
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl20_33
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f3072,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl20_73 ),
inference(forward_demodulation,[],[f762,f1736]) ).
fof(f762,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl20_73 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl20_73
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f3055,plain,
( ~ spl20_25
| ~ spl20_69
| spl20_75
| ~ spl20_87
| ~ spl20_229 ),
inference(avatar_contradiction_clause,[],[f3054]) ).
fof(f3054,plain,
( $false
| ~ spl20_25
| ~ spl20_69
| spl20_75
| ~ spl20_87
| ~ spl20_229 ),
inference(subsumption_resolution,[],[f3053,f1508]) ).
fof(f1508,plain,
( e21 = op2(e20,e22)
| ~ spl20_229 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1506,plain,
( spl20_229
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_229])]) ).
fof(f3053,plain,
( e21 != op2(e20,e22)
| ~ spl20_25
| ~ spl20_69
| spl20_75
| ~ spl20_87 ),
inference(forward_demodulation,[],[f3052,f817]) ).
fof(f3052,plain,
( op2(e20,e22) != h3(e11)
| ~ spl20_25
| ~ spl20_69
| spl20_75 ),
inference(forward_demodulation,[],[f3051,f745]) ).
fof(f745,plain,
( e11 = op1(e10,e12)
| ~ spl20_69 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f743,plain,
( spl20_69
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f3051,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl20_25
| spl20_75 ),
inference(forward_demodulation,[],[f3050,f1736]) ).
fof(f3050,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl20_25
| spl20_75 ),
inference(forward_demodulation,[],[f770,f555]) ).
fof(f770,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl20_75 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl20_75
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f3021,plain,
( ~ spl20_23
| ~ spl20_25
| spl20_83
| ~ spl20_87
| ~ spl20_192 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
fof(f3020,plain,
( $false
| ~ spl20_23
| ~ spl20_25
| spl20_83
| ~ spl20_87
| ~ spl20_192 ),
inference(subsumption_resolution,[],[f3019,f547]) ).
fof(f547,plain,
( e22 = op2(e21,e22)
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f545,plain,
( spl20_23
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f3019,plain,
( e22 != op2(e21,e22)
| ~ spl20_25
| spl20_83
| ~ spl20_87
| ~ spl20_192 ),
inference(forward_demodulation,[],[f3018,f555]) ).
fof(f3018,plain,
( op2(e21,e22) != h3(e12)
| ~ spl20_25
| spl20_83
| ~ spl20_87
| ~ spl20_192 ),
inference(forward_demodulation,[],[f3017,f1302]) ).
fof(f1302,plain,
( e12 = op1(e11,e12)
| ~ spl20_192 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1300,plain,
( spl20_192
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_192])]) ).
fof(f3017,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl20_25
| spl20_83
| ~ spl20_87 ),
inference(forward_demodulation,[],[f3016,f817]) ).
fof(f3016,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl20_25
| spl20_83 ),
inference(forward_demodulation,[],[f802,f555]) ).
fof(f802,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl20_83 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl20_83
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f3008,plain,
( ~ spl20_3
| ~ spl20_25
| spl20_80
| ~ spl20_232
| ~ spl20_255 ),
inference(avatar_contradiction_clause,[],[f3007]) ).
fof(f3007,plain,
( $false
| ~ spl20_3
| ~ spl20_25
| spl20_80
| ~ spl20_232
| ~ spl20_255 ),
inference(subsumption_resolution,[],[f3006,f461]) ).
fof(f461,plain,
( e22 = op2(e22,e23)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f459,plain,
( spl20_3
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f3006,plain,
( e22 != op2(e22,e23)
| ~ spl20_25
| spl20_80
| ~ spl20_232
| ~ spl20_255 ),
inference(forward_demodulation,[],[f3005,f555]) ).
fof(f3005,plain,
( op2(e22,e23) != h3(e12)
| ~ spl20_25
| spl20_80
| ~ spl20_232
| ~ spl20_255 ),
inference(forward_demodulation,[],[f3004,f1677]) ).
fof(f1677,plain,
( e12 = op1(e12,e13)
| ~ spl20_255 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f1675,plain,
( spl20_255
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_255])]) ).
fof(f3004,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl20_25
| spl20_80
| ~ spl20_232 ),
inference(forward_demodulation,[],[f3003,f555]) ).
fof(f3003,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl20_80
| ~ spl20_232 ),
inference(forward_demodulation,[],[f790,f1523]) ).
fof(f790,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl20_80 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl20_80
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f2980,plain,
( ~ spl20_17
| ~ spl20_25
| spl20_88
| ~ spl20_164
| ~ spl20_232 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2979,plain,
( $false
| ~ spl20_17
| ~ spl20_25
| spl20_88
| ~ spl20_164
| ~ spl20_232 ),
inference(subsumption_resolution,[],[f2978,f521]) ).
fof(f521,plain,
( e23 = op2(e22,e22)
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl20_17
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f2978,plain,
( e23 != op2(e22,e22)
| ~ spl20_25
| spl20_88
| ~ spl20_164
| ~ spl20_232 ),
inference(forward_demodulation,[],[f2977,f1523]) ).
fof(f2977,plain,
( op2(e22,e22) != h3(e13)
| ~ spl20_25
| spl20_88
| ~ spl20_164 ),
inference(forward_demodulation,[],[f2976,f1155]) ).
fof(f1155,plain,
( e13 = op1(e12,e12)
| ~ spl20_164 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1153,plain,
( spl20_164
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_164])]) ).
fof(f2976,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| ~ spl20_25
| spl20_88 ),
inference(forward_demodulation,[],[f822,f555]) ).
fof(f822,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl20_88 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl20_88
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f2965,plain,
( ~ spl20_25
| spl20_82
| ~ spl20_176
| ~ spl20_232
| ~ spl20_242 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
fof(f2964,plain,
( $false
| ~ spl20_25
| spl20_82
| ~ spl20_176
| ~ spl20_232
| ~ spl20_242 ),
inference(subsumption_resolution,[],[f2963,f1210]) ).
fof(f1210,plain,
( e20 = op2(e23,e22)
| ~ spl20_176 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1208,plain,
( spl20_176
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_176])]) ).
fof(f2963,plain,
( e20 != op2(e23,e22)
| ~ spl20_25
| spl20_82
| ~ spl20_232
| ~ spl20_242 ),
inference(forward_demodulation,[],[f2962,f1736]) ).
fof(f2962,plain,
( op2(e23,e22) != h3(e10)
| ~ spl20_25
| spl20_82
| ~ spl20_232
| ~ spl20_242 ),
inference(forward_demodulation,[],[f2961,f1584]) ).
fof(f1584,plain,
( e10 = op1(e13,e12)
| ~ spl20_242 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1582,plain,
( spl20_242
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_242])]) ).
fof(f2961,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl20_25
| spl20_82
| ~ spl20_232 ),
inference(forward_demodulation,[],[f2960,f1523]) ).
fof(f2960,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| ~ spl20_25
| spl20_82 ),
inference(forward_demodulation,[],[f798,f555]) ).
fof(f798,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl20_82 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl20_82
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f2948,plain,
( ~ spl20_25
| spl20_81
| ~ spl20_87
| ~ spl20_225
| ~ spl20_247 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
fof(f2947,plain,
( $false
| ~ spl20_25
| spl20_81
| ~ spl20_87
| ~ spl20_225
| ~ spl20_247 ),
inference(subsumption_resolution,[],[f2946,f1490]) ).
fof(f1490,plain,
( e21 = op2(e22,e21)
| ~ spl20_225 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1488,plain,
( spl20_225
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_225])]) ).
fof(f2946,plain,
( e21 != op2(e22,e21)
| ~ spl20_25
| spl20_81
| ~ spl20_87
| ~ spl20_247 ),
inference(forward_demodulation,[],[f2945,f817]) ).
fof(f2945,plain,
( op2(e22,e21) != h3(e11)
| ~ spl20_25
| spl20_81
| ~ spl20_87
| ~ spl20_247 ),
inference(forward_demodulation,[],[f2944,f1611]) ).
fof(f1611,plain,
( e11 = op1(e12,e11)
| ~ spl20_247 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1609,plain,
( spl20_247
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_247])]) ).
fof(f2944,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| ~ spl20_25
| spl20_81
| ~ spl20_87 ),
inference(forward_demodulation,[],[f2943,f555]) ).
fof(f2943,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| spl20_81
| ~ spl20_87 ),
inference(forward_demodulation,[],[f794,f817]) ).
fof(f794,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl20_81 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl20_81
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f2942,plain,
( ~ spl20_7
| ~ spl20_20
| spl20_70
| ~ spl20_87
| ~ spl20_232 ),
inference(avatar_contradiction_clause,[],[f2941]) ).
fof(f2941,plain,
( $false
| ~ spl20_7
| ~ spl20_20
| spl20_70
| ~ spl20_87
| ~ spl20_232 ),
inference(subsumption_resolution,[],[f2940,f534]) ).
fof(f534,plain,
( e23 = op2(e21,e23)
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl20_20
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f2940,plain,
( e23 != op2(e21,e23)
| ~ spl20_7
| spl20_70
| ~ spl20_87
| ~ spl20_232 ),
inference(forward_demodulation,[],[f2939,f1523]) ).
fof(f2939,plain,
( op2(e21,e23) != h3(e13)
| ~ spl20_7
| spl20_70
| ~ spl20_87
| ~ spl20_232 ),
inference(forward_demodulation,[],[f2938,f478]) ).
fof(f478,plain,
( e13 = op1(e11,e13)
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl20_7
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f2938,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| spl20_70
| ~ spl20_87
| ~ spl20_232 ),
inference(forward_demodulation,[],[f2937,f817]) ).
fof(f2937,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl20_70
| ~ spl20_232 ),
inference(forward_demodulation,[],[f750,f1523]) ).
fof(f750,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl20_70 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f748,plain,
( spl20_70
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f2894,plain,
( spl20_101
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f2806,f940,f876]) ).
fof(f876,plain,
( spl20_101
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f2806,plain,
( e21 = h4(e13)
| ~ spl20_116 ),
inference(forward_demodulation,[],[f71,f942]) ).
fof(f71,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),e23)
& e23 = h4(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f2892,plain,
( ~ spl20_25
| spl20_78
| ~ spl20_87
| ~ spl20_173
| ~ spl20_232
| ~ spl20_245 ),
inference(avatar_contradiction_clause,[],[f2891]) ).
fof(f2891,plain,
( $false
| ~ spl20_25
| spl20_78
| ~ spl20_87
| ~ spl20_173
| ~ spl20_232
| ~ spl20_245 ),
inference(subsumption_resolution,[],[f2890,f1601]) ).
fof(f2890,plain,
( e22 != op2(e23,e21)
| ~ spl20_25
| spl20_78
| ~ spl20_87
| ~ spl20_173
| ~ spl20_232 ),
inference(backward_demodulation,[],[f2858,f1523]) ).
fof(f2858,plain,
( e22 != op2(h3(e13),e21)
| ~ spl20_25
| spl20_78
| ~ spl20_87
| ~ spl20_173 ),
inference(forward_demodulation,[],[f2857,f555]) ).
fof(f2857,plain,
( h3(e12) != op2(h3(e13),e21)
| spl20_78
| ~ spl20_87
| ~ spl20_173 ),
inference(backward_demodulation,[],[f2721,f1197]) ).
fof(f1197,plain,
( e12 = op1(e13,e11)
| ~ spl20_173 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1195,plain,
( spl20_173
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_173])]) ).
fof(f2721,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl20_78
| ~ spl20_87 ),
inference(forward_demodulation,[],[f782,f817]) ).
fof(f782,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl20_78 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl20_78
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f2840,plain,
( ~ spl20_32
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f2839,f589,f585]) ).
fof(f585,plain,
( spl20_32
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f2839,plain,
( e12 != op1(e10,e12)
| ~ spl20_33 ),
inference(forward_demodulation,[],[f141,f591]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e11) != op1(e12,e12)
& op1(e11,e11) != op1(e12,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e13,e12) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e10) != op1(e12,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e10) != op1(e10,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e13) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f2838,plain,
( ~ spl20_209
| ~ spl20_155 ),
inference(avatar_split_clause,[],[f2837,f1110,f1395]) ).
fof(f1395,plain,
( spl20_209
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_209])]) ).
fof(f2837,plain,
( e22 != op2(e20,e22)
| ~ spl20_155 ),
inference(forward_demodulation,[],[f1669,f1112]) ).
fof(f1669,plain,
op2(e20,e22) != h1(e13),
inference(forward_demodulation,[],[f231,f343]) ).
fof(f343,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e10) = op2(op2(e20,e20),e20)
& e20 = h1(e12)
& op2(e20,e20) = h1(e13)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f231,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2829,plain,
( ~ spl20_33
| ~ spl20_143 ),
inference(avatar_contradiction_clause,[],[f2828]) ).
fof(f2828,plain,
( $false
| ~ spl20_33
| ~ spl20_143 ),
inference(subsumption_resolution,[],[f2827,f591]) ).
fof(f2827,plain,
( op1(e10,e10) != e12
| ~ spl20_143 ),
inference(forward_demodulation,[],[f144,f1054]) ).
fof(f1054,plain,
( e12 = op1(e11,e10)
| ~ spl20_143 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1052,plain,
( spl20_143
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f144,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2819,plain,
( ~ spl20_258
| ~ spl20_176 ),
inference(avatar_split_clause,[],[f2818,f1208,f1709]) ).
fof(f1709,plain,
( spl20_258
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_258])]) ).
fof(f2818,plain,
( e20 != h4(e13)
| ~ spl20_176 ),
inference(forward_demodulation,[],[f1842,f1210]) ).
fof(f1842,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[],[f269,f71]) ).
fof(f269,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2817,plain,
( ~ spl20_211
| ~ spl20_252
| spl20_266 ),
inference(avatar_contradiction_clause,[],[f2816]) ).
fof(f2816,plain,
( $false
| ~ spl20_211
| ~ spl20_252
| spl20_266 ),
inference(subsumption_resolution,[],[f2815,f1788]) ).
fof(f1788,plain,
( e20 != e23
| spl20_266 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1786,plain,
( spl20_266
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_266])]) ).
fof(f2815,plain,
( e20 = e23
| ~ spl20_211
| ~ spl20_252 ),
inference(forward_demodulation,[],[f1409,f1646]) ).
fof(f1409,plain,
( e23 = op2(e20,e23)
| ~ spl20_211 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl20_211
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_211])]) ).
fof(f2790,plain,
( ~ spl20_228
| ~ spl20_232 ),
inference(avatar_contradiction_clause,[],[f2789]) ).
fof(f2789,plain,
( $false
| ~ spl20_228
| ~ spl20_232 ),
inference(subsumption_resolution,[],[f2435,f1502]) ).
fof(f1502,plain,
( e23 = op2(e22,e21)
| ~ spl20_228 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1500,plain,
( spl20_228
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_228])]) ).
fof(f2435,plain,
( e23 != op2(e22,e21)
| ~ spl20_232 ),
inference(forward_demodulation,[],[f1871,f1523]) ).
fof(f1871,plain,
op2(e22,e21) != h3(e13),
inference(forward_demodulation,[],[f259,f65]) ).
fof(f259,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2781,plain,
( spl20_288
| ~ spl20_155 ),
inference(avatar_split_clause,[],[f2776,f1110,f1978]) ).
fof(f2776,plain,
( op2(e20,e20) = e22
| ~ spl20_155 ),
inference(backward_demodulation,[],[f343,f1112]) ).
fof(f2748,plain,
( ~ spl20_33
| ~ spl20_142 ),
inference(avatar_contradiction_clause,[],[f2747]) ).
fof(f2747,plain,
( $false
| ~ spl20_33
| ~ spl20_142 ),
inference(subsumption_resolution,[],[f2746,f591]) ).
fof(f2746,plain,
( op1(e10,e10) != e12
| ~ spl20_142 ),
inference(forward_demodulation,[],[f129,f1050]) ).
fof(f1050,plain,
( e12 = op1(e13,e10)
| ~ spl20_142 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1048,plain,
( spl20_142
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_142])]) ).
fof(f129,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2734,plain,
( ~ spl20_230
| ~ spl20_189 ),
inference(avatar_split_clause,[],[f2733,f1287,f1512]) ).
fof(f1512,plain,
( spl20_230
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_230])]) ).
fof(f2733,plain,
( e20 != op2(e22,e23)
| ~ spl20_189 ),
inference(forward_demodulation,[],[f239,f1289]) ).
fof(f1289,plain,
( e20 = op2(e22,e20)
| ~ spl20_189 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f239,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2731,plain,
( ~ spl20_5
| ~ spl20_144 ),
inference(avatar_contradiction_clause,[],[f2730]) ).
fof(f2730,plain,
( $false
| ~ spl20_5
| ~ spl20_144 ),
inference(subsumption_resolution,[],[f2729,f1058]) ).
fof(f1058,plain,
( e10 = op1(e11,e11)
| ~ spl20_144 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1057,plain,
( spl20_144
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f2729,plain,
( e10 != op1(e11,e11)
| ~ spl20_5 ),
inference(forward_demodulation,[],[f113,f470]) ).
fof(f470,plain,
( e10 = op1(e11,e13)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl20_5
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f113,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2705,plain,
( ~ spl20_166
| ~ spl20_250 ),
inference(avatar_split_clause,[],[f2683,f1628,f1162]) ).
fof(f1162,plain,
( spl20_166
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_166])]) ).
fof(f2683,plain,
( e11 != op1(e13,e10)
| ~ spl20_250 ),
inference(forward_demodulation,[],[f123,f1629]) ).
fof(f123,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2698,plain,
( ~ spl20_208
| ~ spl20_144 ),
inference(avatar_split_clause,[],[f2669,f1057,f1389]) ).
fof(f1389,plain,
( spl20_208
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_208])]) ).
fof(f2669,plain,
( e10 != op1(e11,e10)
| ~ spl20_144 ),
inference(forward_demodulation,[],[f145,f1058]) ).
fof(f145,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2696,plain,
( ~ spl20_119
| ~ spl20_250 ),
inference(avatar_split_clause,[],[f2695,f1628,f953]) ).
fof(f953,plain,
( spl20_119
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).
fof(f2695,plain,
( e11 != op1(e10,e13)
| ~ spl20_250 ),
inference(forward_demodulation,[],[f112,f1629]) ).
fof(f112,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2674,plain,
( ~ spl20_14
| ~ spl20_250 ),
inference(avatar_contradiction_clause,[],[f2673]) ).
fof(f2673,plain,
( $false
| ~ spl20_14
| ~ spl20_250 ),
inference(subsumption_resolution,[],[f2672,f275]) ).
fof(f275,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e10 != e13
& e12 != e13
& e11 != e12
& e10 != e12
& e11 != e13
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f2672,plain,
( e11 = e12
| ~ spl20_14
| ~ spl20_250 ),
inference(forward_demodulation,[],[f508,f1629]) ).
fof(f508,plain,
( e12 = op1(e13,e13)
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl20_14
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f2660,plain,
( ~ spl20_246
| ~ spl20_250 ),
inference(avatar_split_clause,[],[f2659,f1628,f1605]) ).
fof(f1605,plain,
( spl20_246
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_246])]) ).
fof(f2659,plain,
( e11 != op1(e12,e13)
| ~ spl20_250 ),
inference(forward_demodulation,[],[f140,f1629]) ).
fof(f140,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2639,plain,
( ~ spl20_236
| ~ spl20_242 ),
inference(avatar_contradiction_clause,[],[f2638]) ).
fof(f2638,plain,
( $false
| ~ spl20_236
| ~ spl20_242 ),
inference(subsumption_resolution,[],[f2637,f1551]) ).
fof(f1551,plain,
( e10 = op1(e10,e12)
| ~ spl20_236 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1549,plain,
( spl20_236
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_236])]) ).
fof(f2637,plain,
( e10 != op1(e10,e12)
| ~ spl20_242 ),
inference(forward_demodulation,[],[f115,f1584]) ).
fof(f115,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2626,plain,
( ~ spl20_66
| ~ spl20_164 ),
inference(avatar_contradiction_clause,[],[f2625]) ).
fof(f2625,plain,
( $false
| ~ spl20_66
| ~ spl20_164 ),
inference(subsumption_resolution,[],[f2624,f273]) ).
fof(f273,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2624,plain,
( e11 = e13
| ~ spl20_66
| ~ spl20_164 ),
inference(backward_demodulation,[],[f1155,f733]) ).
fof(f733,plain,
( e11 = op1(e12,e12)
| ~ spl20_66 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl20_66
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f2623,plain,
( ~ spl20_156
| ~ spl20_181 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
fof(f2622,plain,
( $false
| ~ spl20_156
| ~ spl20_181 ),
inference(subsumption_resolution,[],[f2621,f283]) ).
fof(f283,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f2621,plain,
( e20 = e22
| ~ spl20_156
| ~ spl20_181 ),
inference(forward_demodulation,[],[f1116,f1241]) ).
fof(f1116,plain,
( e22 = h2(e13)
| ~ spl20_156 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl20_156
<=> e22 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_156])]) ).
fof(f2605,plain,
( ~ spl20_191
| ~ spl20_242 ),
inference(avatar_split_clause,[],[f2604,f1582,f1296]) ).
fof(f1296,plain,
( spl20_191
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).
fof(f2604,plain,
( e10 != op1(e11,e12)
| ~ spl20_242 ),
inference(forward_demodulation,[],[f143,f1584]) ).
fof(f143,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2603,plain,
( ~ spl20_243
| ~ spl20_242 ),
inference(avatar_split_clause,[],[f2602,f1582,f1586]) ).
fof(f1586,plain,
( spl20_243
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_243])]) ).
fof(f2602,plain,
( e10 != op1(e13,e10)
| ~ spl20_242 ),
inference(forward_demodulation,[],[f149,f1584]) ).
fof(f149,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2598,plain,
( ~ spl20_114
| spl20_79
| ~ spl20_87
| ~ spl20_144 ),
inference(avatar_split_clause,[],[f2597,f1057,f816,f784,f930]) ).
fof(f930,plain,
( spl20_114
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).
fof(f784,plain,
( spl20_79
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f2597,plain,
( e20 != op2(e21,e21)
| spl20_79
| ~ spl20_87
| ~ spl20_144 ),
inference(forward_demodulation,[],[f2596,f1736]) ).
fof(f2596,plain,
( op2(e21,e21) != h3(e10)
| spl20_79
| ~ spl20_87
| ~ spl20_144 ),
inference(forward_demodulation,[],[f2595,f1058]) ).
fof(f2595,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl20_79
| ~ spl20_87 ),
inference(forward_demodulation,[],[f786,f817]) ).
fof(f786,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl20_79 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2581,plain,
( ~ spl20_141
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f2580,f589,f1044]) ).
fof(f1044,plain,
( spl20_141
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_141])]) ).
fof(f2580,plain,
( e12 != op1(e12,e10)
| ~ spl20_33 ),
inference(forward_demodulation,[],[f128,f591]) ).
fof(f128,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2576,plain,
( ~ spl20_163
| ~ spl20_144 ),
inference(avatar_split_clause,[],[f2573,f1057,f1148]) ).
fof(f1148,plain,
( spl20_163
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_163])]) ).
fof(f2573,plain,
( e10 != op1(e12,e11)
| ~ spl20_144 ),
inference(backward_demodulation,[],[f158,f1058]) ).
fof(f158,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2567,plain,
( ~ spl20_17
| ~ spl20_38 ),
inference(avatar_contradiction_clause,[],[f2566]) ).
fof(f2566,plain,
( $false
| ~ spl20_17
| ~ spl20_38 ),
inference(subsumption_resolution,[],[f2565,f282]) ).
fof(f2565,plain,
( e22 = e23
| ~ spl20_17
| ~ spl20_38 ),
inference(forward_demodulation,[],[f521,f613]) ).
fof(f613,plain,
( e22 = op2(e22,e22)
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl20_38
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f2528,plain,
( ~ spl20_212
| ~ spl20_232 ),
inference(avatar_split_clause,[],[f2527,f1522,f1411]) ).
fof(f1411,plain,
( spl20_212
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_212])]) ).
fof(f2527,plain,
( e23 != op2(e22,e23)
| ~ spl20_232 ),
inference(forward_demodulation,[],[f1829,f1523]) ).
fof(f1829,plain,
op2(e22,e23) != h3(e13),
inference(forward_demodulation,[],[f260,f65]) ).
fof(f260,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2497,plain,
( spl20_114
| ~ spl20_181 ),
inference(avatar_split_clause,[],[f2496,f1240,f930]) ).
fof(f2496,plain,
( e20 = op2(e21,e21)
| ~ spl20_181 ),
inference(forward_demodulation,[],[f339,f1241]) ).
fof(f2492,plain,
( ~ spl20_176
| ~ spl20_199 ),
inference(avatar_contradiction_clause,[],[f2491]) ).
fof(f2491,plain,
( $false
| ~ spl20_176
| ~ spl20_199 ),
inference(subsumption_resolution,[],[f2490,f1340]) ).
fof(f1340,plain,
( e20 = op2(e20,e22)
| ~ spl20_199 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1338,plain,
( spl20_199
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_199])]) ).
fof(f2490,plain,
( e20 != op2(e20,e22)
| ~ spl20_176 ),
inference(forward_demodulation,[],[f268,f1210]) ).
fof(f268,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2484,plain,
( ~ spl20_174
| ~ spl20_242 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2483,plain,
( $false
| ~ spl20_174
| ~ spl20_242 ),
inference(subsumption_resolution,[],[f2481,f274]) ).
fof(f274,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2481,plain,
( e10 = e12
| ~ spl20_174
| ~ spl20_242 ),
inference(backward_demodulation,[],[f1201,f1584]) ).
fof(f1201,plain,
( e12 = op1(e13,e12)
| ~ spl20_174 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1199,plain,
( spl20_174
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_174])]) ).
fof(f2472,plain,
( ~ spl20_226
| ~ spl20_181 ),
inference(avatar_split_clause,[],[f2471,f1240,f1492]) ).
fof(f1492,plain,
( spl20_226
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f2471,plain,
( e20 != op2(e22,e21)
| ~ spl20_181 ),
inference(forward_demodulation,[],[f1700,f1241]) ).
fof(f1700,plain,
op2(e22,e21) != h2(e13),
inference(forward_demodulation,[],[f253,f339]) ).
fof(f253,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2468,plain,
( spl20_271
| ~ spl20_155
| ~ spl20_187 ),
inference(avatar_split_clause,[],[f2466,f1279,f1110,f1831]) ).
fof(f1831,plain,
( spl20_271
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_271])]) ).
fof(f1279,plain,
( spl20_187
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).
fof(f2466,plain,
( e21 = h1(e10)
| ~ spl20_155
| ~ spl20_187 ),
inference(backward_demodulation,[],[f2113,f1281]) ).
fof(f1281,plain,
( e21 = op2(e22,e20)
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f2113,plain,
( op2(e22,e20) = h1(e10)
| ~ spl20_155 ),
inference(backward_demodulation,[],[f1726,f1112]) ).
fof(f1726,plain,
h1(e10) = op2(h1(e13),e20),
inference(forward_demodulation,[],[f345,f343]) ).
fof(f345,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f2457,plain,
( ~ spl20_242
| ~ spl20_165 ),
inference(avatar_split_clause,[],[f2456,f1157,f1582]) ).
fof(f1157,plain,
( spl20_165
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_165])]) ).
fof(f2456,plain,
( e10 != op1(e13,e12)
| ~ spl20_165 ),
inference(forward_demodulation,[],[f147,f1158]) ).
fof(f1158,plain,
( e10 = op1(e13,e13)
| ~ spl20_165 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f147,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2430,plain,
( ~ spl20_175
| ~ spl20_176 ),
inference(avatar_contradiction_clause,[],[f2429]) ).
fof(f2429,plain,
( $false
| ~ spl20_175
| ~ spl20_176 ),
inference(subsumption_resolution,[],[f2428,f283]) ).
fof(f2428,plain,
( e20 = e22
| ~ spl20_175
| ~ spl20_176 ),
inference(forward_demodulation,[],[f1206,f1210]) ).
fof(f1206,plain,
( e22 = op2(e23,e22)
| ~ spl20_175 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl20_175
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_175])]) ).
fof(f2399,plain,
( ~ spl20_235
| ~ spl20_176 ),
inference(avatar_split_clause,[],[f2398,f1208,f1540]) ).
fof(f1540,plain,
( spl20_235
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_235])]) ).
fof(f2398,plain,
( e20 != op2(e23,e20)
| ~ spl20_176 ),
inference(forward_demodulation,[],[f262,f1210]) ).
fof(f262,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2374,plain,
( ~ spl20_116
| ~ spl20_140 ),
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2373,plain,
( $false
| ~ spl20_116
| ~ spl20_140 ),
inference(subsumption_resolution,[],[f2371,f281]) ).
fof(f281,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2371,plain,
( e21 = e23
| ~ spl20_116
| ~ spl20_140 ),
inference(backward_demodulation,[],[f1041,f942]) ).
fof(f1041,plain,
( e23 = op2(e23,e23)
| ~ spl20_140 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl20_140
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_140])]) ).
fof(f2370,plain,
( ~ spl20_178
| ~ spl20_232 ),
inference(avatar_split_clause,[],[f2369,f1522,f1217]) ).
fof(f1217,plain,
( spl20_178
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_178])]) ).
fof(f2369,plain,
( e23 != op2(e20,e22)
| ~ spl20_232 ),
inference(forward_demodulation,[],[f1682,f1523]) ).
fof(f1682,plain,
op2(e20,e22) != h3(e13),
inference(backward_demodulation,[],[f240,f65]) ).
fof(f240,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2367,plain,
( ~ spl20_262
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f2366,f876,f1746]) ).
fof(f1746,plain,
( spl20_262
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_262])]) ).
fof(f2366,plain,
( e21 != op2(e23,e20)
| ~ spl20_101 ),
inference(forward_demodulation,[],[f1898,f877]) ).
fof(f877,plain,
( e21 = h4(e13)
| ~ spl20_101 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f1898,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[],[f252,f71]) ).
fof(f252,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2358,plain,
( ~ spl20_205
| ~ spl20_207 ),
inference(avatar_split_clause,[],[f2357,f1383,f1375]) ).
fof(f1375,plain,
( spl20_205
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_205])]) ).
fof(f2357,plain,
( e13 != op1(e11,e10)
| ~ spl20_207 ),
inference(backward_demodulation,[],[f124,f1385]) ).
fof(f124,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2331,plain,
( ~ spl20_155
| ~ spl20_184 ),
inference(avatar_contradiction_clause,[],[f2330]) ).
fof(f2330,plain,
( $false
| ~ spl20_155
| ~ spl20_184 ),
inference(subsumption_resolution,[],[f2328,f283]) ).
fof(f2328,plain,
( e20 = e22
| ~ spl20_155
| ~ spl20_184 ),
inference(backward_demodulation,[],[f1112,f1259]) ).
fof(f1259,plain,
( e20 = h1(e13)
| ~ spl20_184 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1257,plain,
( spl20_184
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_184])]) ).
fof(f2327,plain,
( ~ spl20_207
| ~ spl20_203 ),
inference(avatar_split_clause,[],[f2326,f1363,f1383]) ).
fof(f1363,plain,
( spl20_203
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_203])]) ).
fof(f2326,plain,
( e13 != op1(e13,e10)
| ~ spl20_203 ),
inference(backward_demodulation,[],[f138,f1365]) ).
fof(f1365,plain,
( e13 = op1(e13,e11)
| ~ spl20_203 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f138,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2325,plain,
( ~ spl20_118
| ~ spl20_247 ),
inference(avatar_split_clause,[],[f2324,f1609,f949]) ).
fof(f949,plain,
( spl20_118
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).
fof(f2324,plain,
( e11 != op1(e10,e11)
| ~ spl20_247 ),
inference(forward_demodulation,[],[f127,f1611]) ).
fof(f127,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2320,plain,
( spl20_116
| ~ spl20_232 ),
inference(avatar_split_clause,[],[f2316,f1522,f940]) ).
fof(f2316,plain,
( e21 = op2(e23,e23)
| ~ spl20_232 ),
inference(backward_demodulation,[],[f1812,f1523]) ).
fof(f1812,plain,
e21 = op2(h3(e13),h3(e13)),
inference(forward_demodulation,[],[f289,f65]) ).
fof(f289,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f2319,plain,
( spl20_176
| ~ spl20_232 ),
inference(avatar_split_clause,[],[f2315,f1522,f1208]) ).
fof(f2315,plain,
( e20 = op2(e23,e22)
| ~ spl20_232 ),
inference(backward_demodulation,[],[f1735,f1523]) ).
fof(f2305,plain,
( ~ spl20_17
| ~ spl20_36
| spl20_266 ),
inference(avatar_contradiction_clause,[],[f2304]) ).
fof(f2304,plain,
( $false
| ~ spl20_17
| ~ spl20_36
| spl20_266 ),
inference(subsumption_resolution,[],[f2303,f1788]) ).
fof(f2303,plain,
( e20 = e23
| ~ spl20_17
| ~ spl20_36 ),
inference(forward_demodulation,[],[f521,f604]) ).
fof(f604,plain,
( e20 = op2(e22,e22)
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl20_36
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f2259,plain,
( ~ spl20_16
| ~ spl20_116 ),
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2258,plain,
( $false
| ~ spl20_16
| ~ spl20_116 ),
inference(subsumption_resolution,[],[f2257,f284]) ).
fof(f284,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f2257,plain,
( e20 = e21
| ~ spl20_16
| ~ spl20_116 ),
inference(forward_demodulation,[],[f942,f516]) ).
fof(f516,plain,
( e20 = op2(e23,e23)
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl20_16
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f2247,plain,
( ~ spl20_271
| ~ spl20_155
| ~ spl20_225 ),
inference(avatar_split_clause,[],[f2244,f1488,f1110,f1831]) ).
fof(f2244,plain,
( e21 != h1(e10)
| ~ spl20_155
| ~ spl20_225 ),
inference(backward_demodulation,[],[f2117,f1490]) ).
fof(f2117,plain,
( op2(e22,e21) != h1(e10)
| ~ spl20_155 ),
inference(backward_demodulation,[],[f232,f2113]) ).
fof(f232,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2213,plain,
( ~ spl20_231
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f2200,f876,f1516]) ).
fof(f1516,plain,
( spl20_231
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_231])]) ).
fof(f2200,plain,
( e21 != op2(e22,e23)
| ~ spl20_101 ),
inference(backward_demodulation,[],[f1839,f877]) ).
fof(f1839,plain,
op2(e22,e23) != h4(e13),
inference(backward_demodulation,[],[f266,f71]) ).
fof(f266,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2181,plain,
( ~ spl20_196
| ~ spl20_173 ),
inference(avatar_split_clause,[],[f2177,f1195,f1322]) ).
fof(f1322,plain,
( spl20_196
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_196])]) ).
fof(f2177,plain,
( e12 != op1(e12,e11)
| ~ spl20_173 ),
inference(backward_demodulation,[],[f148,f1197]) ).
fof(f148,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2175,plain,
( ~ spl20_69
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f2174,f739,f743]) ).
fof(f739,plain,
( spl20_68
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f2174,plain,
( e11 != op1(e10,e12)
| ~ spl20_68 ),
inference(backward_demodulation,[],[f156,f741]) ).
fof(f741,plain,
( e11 = op1(e11,e12)
| ~ spl20_68 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f156,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2124,plain,
( ~ spl20_169
| ~ spl20_155 ),
inference(avatar_split_clause,[],[f2111,f1110,f1176]) ).
fof(f1176,plain,
( spl20_169
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_169])]) ).
fof(f2111,plain,
( e22 != op2(e23,e20)
| ~ spl20_155 ),
inference(backward_demodulation,[],[f1417,f1112]) ).
fof(f1417,plain,
op2(e23,e20) != h1(e13),
inference(forward_demodulation,[],[f265,f343]) ).
fof(f265,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2096,plain,
( ~ spl20_11
| ~ spl20_164 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2095,plain,
( $false
| ~ spl20_11
| ~ spl20_164 ),
inference(subsumption_resolution,[],[f2094,f277]) ).
fof(f277,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2094,plain,
( e10 = e13
| ~ spl20_11
| ~ spl20_164 ),
inference(backward_demodulation,[],[f1155,f495]) ).
fof(f495,plain,
( e10 = op1(e12,e12)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl20_11
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f2088,plain,
( ~ spl20_162
| ~ spl20_161 ),
inference(avatar_split_clause,[],[f2085,f1140,f1144]) ).
fof(f1140,plain,
( spl20_161
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_161])]) ).
fof(f2085,plain,
( e10 != op1(e12,e10)
| ~ spl20_161 ),
inference(backward_demodulation,[],[f146,f1142]) ).
fof(f1142,plain,
( e10 = op1(e12,e13)
| ~ spl20_161 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f146,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2073,plain,
( spl20_232
| ~ spl20_17 ),
inference(avatar_split_clause,[],[f2072,f519,f1522]) ).
fof(f2072,plain,
( e23 = h3(e13)
| ~ spl20_17 ),
inference(backward_demodulation,[],[f65,f521]) ).
fof(f2060,plain,
( ~ spl20_168
| ~ spl20_167 ),
inference(avatar_split_clause,[],[f2056,f1166,f1170]) ).
fof(f1170,plain,
( spl20_168
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_168])]) ).
fof(f2056,plain,
( e11 != op1(e12,e10)
| ~ spl20_167 ),
inference(backward_demodulation,[],[f130,f1168]) ).
fof(f130,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2041,plain,
( ~ spl20_192
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f2036,f1061,f1300]) ).
fof(f1061,plain,
( spl20_145
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_145])]) ).
fof(f2036,plain,
( e12 != op1(e11,e12)
| ~ spl20_145 ),
inference(backward_demodulation,[],[f153,f1062]) ).
fof(f1062,plain,
( e12 = op1(e11,e11)
| ~ spl20_145 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f153,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2039,plain,
( ~ spl20_196
| ~ spl20_145 ),
inference(avatar_split_clause,[],[f2032,f1061,f1322]) ).
fof(f2032,plain,
( e12 != op1(e12,e11)
| ~ spl20_145 ),
inference(backward_demodulation,[],[f158,f1062]) ).
fof(f2031,plain,
( ~ spl20_204
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2021,f1153,f1367]) ).
fof(f1367,plain,
( spl20_204
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_204])]) ).
fof(f2021,plain,
( e13 != op1(e12,e11)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f159,f1155]) ).
fof(f159,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2030,plain,
( ~ spl20_190
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2018,f1153,f1292]) ).
fof(f1292,plain,
( spl20_190
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f2018,plain,
( e13 != op1(e11,e12)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f136,f1155]) ).
fof(f136,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2029,plain,
( ~ spl20_182
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2019,f1153,f1245]) ).
fof(f1245,plain,
( spl20_182
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_182])]) ).
fof(f2019,plain,
( e13 != op1(e12,e13)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f150,f1155]) ).
fof(f150,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2028,plain,
( spl20_242
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2022,f1153,f1582]) ).
fof(f2022,plain,
( e10 = op1(e13,e12)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f278,f1155]) ).
fof(f278,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e12),e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f2026,plain,
( ~ spl20_206
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2017,f1153,f1379]) ).
fof(f1379,plain,
( spl20_206
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_206])]) ).
fof(f2017,plain,
( e13 != op1(e12,e10)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f134,f1155]) ).
fof(f134,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2025,plain,
( ~ spl20_249
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2016,f1153,f1618]) ).
fof(f1618,plain,
( spl20_249
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_249])]) ).
fof(f2016,plain,
( e13 != op1(e10,e12)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f131,f1155]) ).
fof(f131,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2024,plain,
( spl20_250
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2023,f1153,f1628]) ).
fof(f2023,plain,
( e11 = op1(e13,e13)
| ~ spl20_164 ),
inference(backward_demodulation,[],[f279,f1155]) ).
fof(f279,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f1994,plain,
( ~ spl20_183
| spl20_65
| spl20_184
| spl20_258 ),
inference(avatar_split_clause,[],[f1993,f1709,f1257,f726,f1253]) ).
fof(f1253,plain,
( spl20_183
<=> e21 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_183])]) ).
fof(f726,plain,
( spl20_65
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f1993,plain,
( e20 = h4(e13)
| e20 = h1(e13)
| sP17
| e21 != h1(e13) ),
inference(forward_demodulation,[],[f1992,f343]) ).
fof(f1992,plain,
( sP17
| e20 = h4(e13)
| op2(e20,e20) != e21
| e20 = h1(e13) ),
inference(forward_demodulation,[],[f1991,f71]) ).
fof(f1991,plain,
( e20 = op2(e23,e23)
| op2(e20,e20) != e21
| sP17
| e20 = h1(e13) ),
inference(forward_demodulation,[],[f431,f343]) ).
fof(f431,plain,
( sP17
| e20 = op2(e20,e20)
| e20 = op2(e23,e23)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( ( e21 != op2(e22,e22)
& e22 = op2(e21,e21) )
| ( e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ( e20 != op2(e22,e22)
& op2(e20,e20) = e22 )
| sP19 )
& ( ( e21 != op2(e23,e23)
& e23 = op2(e21,e21) )
| ( e22 != op2(e23,e23)
& e23 = op2(e22,e22) )
| ( op2(e20,e20) = e23
& e20 != op2(e23,e23) )
| sP18 )
& ( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ( op2(e20,e20) != e23
& e20 = op2(e23,e23) )
| ( op2(e20,e20) != e21
& e20 = op2(e21,e21) )
| sP17 )
& ( ( e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e21 = op2(e22,e22)
& e22 != op2(e21,e21) )
| ( e21 = op2(e23,e23)
& e23 != op2(e21,e21) )
| sP16 ) ),
inference(definition_folding,[],[f11,f42,f41,f40,f39]) ).
fof(f39,plain,
( ( e20 != op2(e21,e21)
& op2(e20,e20) = e21 )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( op2(e20,e20) != e22
& e20 = op2(e22,e22) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( e23 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f11,axiom,
( ( ( e21 != op2(e22,e22)
& e22 = op2(e21,e21) )
| ( e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ( e20 != op2(e22,e22)
& op2(e20,e20) = e22 )
| ( e23 != op2(e22,e22)
& e22 = op2(e23,e23) ) )
& ( ( e21 != op2(e23,e23)
& e23 = op2(e21,e21) )
| ( e22 != op2(e23,e23)
& e23 = op2(e22,e22) )
| ( op2(e20,e20) = e23
& e20 != op2(e23,e23) )
| ( e23 = op2(e23,e23)
& e23 != op2(e23,e23) ) )
& ( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ( op2(e20,e20) != e23
& e20 = op2(e23,e23) )
| ( op2(e20,e20) != e21
& e20 = op2(e21,e21) )
| ( op2(e20,e20) != e22
& e20 = op2(e22,e22) ) )
& ( ( e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e21 = op2(e22,e22)
& e22 != op2(e21,e21) )
| ( e21 = op2(e23,e23)
& e23 != op2(e21,e21) )
| ( e20 != op2(e21,e21)
& op2(e20,e20) = e21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f1971,plain,
( ~ spl20_113
| spl20_144 ),
inference(avatar_split_clause,[],[f74,f1057,f925]) ).
fof(f925,plain,
( spl20_113
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f74,plain,
( e10 = op1(e11,e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( op1(e10,e10) != e11
& e10 = op1(e11,e11) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( op1(e10,e10) != e11
& e10 = op1(e11,e11) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1895,plain,
~ spl20_72,
inference(avatar_split_clause,[],[f1894,f756]) ).
fof(f756,plain,
( spl20_72
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f1894,plain,
~ sP14,
inference(subsumption_resolution,[],[f165,f1736]) ).
fof(f165,plain,
( ~ sP14
| e20 != h3(e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1881,plain,
( spl20_42
| spl20_211
| spl20_90
| spl20_178 ),
inference(avatar_split_clause,[],[f1880,f1217,f831,f1407,f630]) ).
fof(f1880,plain,
( e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| e23 = h1(e13) ),
inference(forward_demodulation,[],[f393,f343]) ).
fof(f393,plain,
( e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20) )
& ( e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23) )
& ( e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) )
& ( e23 = op2(e20,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23) )
& ( e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e21 = op2(e21,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22) )
& ( e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23)
| e20 = op2(e23,e20) )
& ( e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e21) )
& ( e21 = op2(e23,e20)
| op2(e20,e20) = e21
| e21 = op2(e21,e20)
| e21 = op2(e22,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e20,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23) )
& ( e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21) )
& ( e23 = op2(e23,e20)
| e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21) )
& ( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22) )
& ( e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e23 = op2(e22,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) )
& ( e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) )
& ( e22 = op2(e21,e21)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) )
& ( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21) )
& ( e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e21) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e20) )
& ( e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22 )
& ( e20 = op2(e21,e21)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) )
& ( e21 = op2(e22,e20)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21) )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e20) )
& ( e21 = op2(e21,e21)
| e21 = op2(e23,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1875,plain,
( spl20_166
| spl20_142
| spl20_243
| spl20_207 ),
inference(avatar_split_clause,[],[f336,f1383,f1586,f1048,f1162]) ).
fof(f336,plain,
( e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10)
| e13 = op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e11 = op1(e12,e10)
| e12 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e11 = op1(e12,e11)
| e10 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e11 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e11 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13) )
& ( e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e10 = op1(e10,e12)
| e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12) )
& ( e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e11 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11)
| e10 = op1(e10,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1870,plain,
spl20_25,
inference(avatar_split_clause,[],[f67,f554]) ).
fof(f67,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1866,plain,
( spl20_262
| spl20_187
| spl20_183
| spl20_28 ),
inference(avatar_split_clause,[],[f1865,f567,f1253,f1279,f1746]) ).
fof(f1865,plain,
( e21 = op2(e21,e20)
| e21 = h1(e13)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[],[f401,f343]) ).
fof(f401,plain,
( e21 = op2(e22,e20)
| op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1863,plain,
( ~ spl20_37
| ~ spl20_232 ),
inference(avatar_split_clause,[],[f1862,f1522,f607]) ).
fof(f607,plain,
( spl20_37
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f1862,plain,
( e23 != h3(e13)
| ~ sP19 ),
inference(forward_demodulation,[],[f411,f65]) ).
fof(f411,plain,
( e23 != op2(e22,e22)
| ~ sP19 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e23 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ~ sP19 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1838,plain,
~ spl20_266,
inference(avatar_split_clause,[],[f286,f1786]) ).
fof(f286,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1827,plain,
spl20_17,
inference(avatar_split_clause,[],[f287,f519]) ).
fof(f287,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f1814,plain,
spl20_87,
inference(avatar_split_clause,[],[f1813,f816]) ).
fof(f1813,plain,
e21 = h3(e11),
inference(backward_demodulation,[],[f1681,f1812]) ).
fof(f1681,plain,
h3(e11) = op2(h3(e13),h3(e13)),
inference(backward_demodulation,[],[f64,f65]) ).
fof(f64,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1795,plain,
( spl20_151
| spl20_235
| spl20_262
| spl20_169 ),
inference(avatar_split_clause,[],[f294,f1176,f1746,f1540,f1087]) ).
fof(f294,plain,
( e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e20 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e23 = op2(e22,e23) )
& ( e21 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e21 = op2(e21,e22)
| e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e21 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21) )
& ( e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20) )
& ( e21 = op2(e20,e23)
| e22 = op2(e20,e23)
| e23 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1754,plain,
( spl20_13
| spl20_33
| spl20_14
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f83,f498,f506,f589,f502]) ).
fof(f502,plain,
( spl20_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f498,plain,
( spl20_12
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f83,plain,
( e12 != op1(e12,e12)
| e12 = op1(e13,e13)
| op1(e10,e10) = e12
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ( e10 != op1(e13,e13)
& op1(e10,e10) = e13 )
| ( e12 != op1(e13,e13)
& e13 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e13 = op1(e11,e11) )
| sP3 )
& ( ( e10 = op1(e12,e12)
& op1(e10,e10) != e12 )
| ( op1(e10,e10) != e13
& e10 = op1(e13,e13) )
| ( e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| sP2 )
& ( ( op1(e10,e10) = e11
& e10 != op1(e11,e11) )
| ( e11 = op1(e12,e12)
& e12 != op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| sP1 )
& ( ( e10 != op1(e12,e12)
& op1(e10,e10) = e12 )
| ( e12 = op1(e13,e13)
& e13 != op1(e12,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| sP0 ) ),
inference(definition_folding,[],[f10,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e12,e12) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e11 = op1(e13,e13)
& e13 != op1(e11,e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f24,plain,
( ( e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,axiom,
( ( ( e10 != op1(e13,e13)
& op1(e10,e10) = e13 )
| ( e12 != op1(e13,e13)
& e13 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e13 = op1(e11,e11) )
| ( e13 = op1(e13,e13)
& e13 != op1(e13,e13) ) )
& ( ( e10 = op1(e12,e12)
& op1(e10,e10) != e12 )
| ( op1(e10,e10) != e13
& e10 = op1(e13,e13) )
| ( e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ( op1(e10,e10) != e11
& e10 = op1(e11,e11) ) )
& ( ( op1(e10,e10) = e11
& e10 != op1(e11,e11) )
| ( e11 = op1(e12,e12)
& e12 != op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 = op1(e13,e13)
& e13 != op1(e11,e11) ) )
& ( ( e10 != op1(e12,e12)
& op1(e10,e10) = e12 )
| ( e12 = op1(e13,e13)
& e13 != op1(e12,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 = op1(e11,e11)
& e11 != op1(e12,e12) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f1728,plain,
( spl20_204
| spl20_247
| spl20_196
| spl20_163 ),
inference(avatar_split_clause,[],[f334,f1148,f1322,f1609,f1367]) ).
fof(f334,plain,
( e10 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1727,plain,
( spl20_190
| spl20_7
| spl20_205
| spl20_148 ),
inference(avatar_split_clause,[],[f355,f1074,f1375,f476,f1292]) ).
fof(f1074,plain,
( spl20_148
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_148])]) ).
fof(f355,plain,
( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e10,e13)
| e13 = op1(e11,e13) )
& ( e11 = op1(e10,e11)
| op1(e10,e10) = e11
| e11 = op1(e10,e13)
| e11 = op1(e10,e12) )
& ( e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e13,e10)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e13)
| e11 = op1(e13,e12) )
& ( e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13) )
& ( e13 = op1(e12,e12)
| e13 = op1(e12,e13)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e10) )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13) )
& ( e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e13) )
& ( e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e12 = op1(e12,e12)
| e12 = op1(e12,e13)
| e12 = op1(e12,e10)
| e12 = op1(e12,e11) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12) )
& ( e10 = op1(e11,e10)
| e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| e10 = op1(e12,e10) )
& ( e10 = op1(e10,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11)
| e10 = op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| e11 = op1(e11,e11) )
& ( e13 = op1(e10,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e12,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12)
| e12 = op1(e11,e12) )
& ( e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e13,e12)
| e10 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e13,e13)
| e12 = op1(e10,e13)
| e12 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12) )
& ( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e11)
| e11 = op1(e12,e11) )
& ( e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e13)
| e10 = op1(e12,e10) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e13)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10) )
& ( e13 = op1(e10,e13)
| op1(e10,e10) = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e11) )
& ( e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11) )
& ( e11 = op1(e12,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1713,plain,
( ~ spl20_148
| ~ spl20_146 ),
inference(avatar_split_clause,[],[f76,f1065,f1074]) ).
fof(f1065,plain,
( spl20_146
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f76,plain,
( ~ sP1
| e13 != op1(e11,e11) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e11 = op1(e13,e13)
& e13 != op1(e11,e11) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1699,plain,
( spl20_182
| spl20_246
| spl20_255
| spl20_161 ),
inference(avatar_split_clause,[],[f331,f1140,f1675,f1605,f1245]) ).
fof(f331,plain,
( e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1693,plain,
( spl20_165
| spl20_161
| spl20_160
| spl20_5 ),
inference(avatar_split_clause,[],[f367,f468,f1135,f1140,f1157]) ).
fof(f367,plain,
( e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1691,plain,
( spl20_117
| spl20_147
| spl20_146
| spl20_66 ),
inference(avatar_split_clause,[],[f94,f731,f1065,f1069,f945]) ).
fof(f945,plain,
( spl20_117
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f1069,plain,
( spl20_147
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_147])]) ).
fof(f94,plain,
( e11 = op1(e12,e12)
| sP1
| e11 = op1(e11,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f25]) ).
fof(f1685,plain,
( ~ spl20_147
| spl20_66
| spl20_117
| spl20_146 ),
inference(avatar_split_clause,[],[f95,f1065,f945,f731,f1069]) ).
fof(f95,plain,
( sP1
| op1(e10,e10) = e11
| e11 = op1(e12,e12)
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1680,plain,
( spl20_32
| spl20_249
| spl20_236
| spl20_69 ),
inference(avatar_split_clause,[],[f326,f743,f1549,f1618,f585]) ).
fof(f326,plain,
( e11 = op1(e10,e12)
| e10 = op1(e10,e12)
| e13 = op1(e10,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1671,plain,
( ~ spl20_117
| ~ spl20_113 ),
inference(avatar_split_clause,[],[f75,f925,f945]) ).
fof(f75,plain,
( ~ sP2
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f45]) ).
fof(f1665,plain,
( spl20_205
| spl20_143
| spl20_167
| spl20_208 ),
inference(avatar_split_clause,[],[f330,f1389,f1166,f1052,f1375]) ).
fof(f330,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1647,plain,
( spl20_252
| spl20_184
| spl20_199
| spl20_92 ),
inference(avatar_split_clause,[],[f1642,f839,f1338,f1257,f1644]) ).
fof(f1642,plain,
( e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = h1(e13)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f389,f343]) ).
fof(f389,plain,
( e20 = op2(e20,e22)
| e20 = op2(e20,e23)
| e20 = op2(e20,e20)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1626,plain,
( spl20_184
| spl20_16
| spl20_65
| spl20_181 ),
inference(avatar_split_clause,[],[f1625,f1240,f726,f515,f1257]) ).
fof(f1625,plain,
( e20 = h2(e13)
| sP17
| e20 = op2(e23,e23)
| e20 = h1(e13) ),
inference(forward_demodulation,[],[f1624,f339]) ).
fof(f1624,plain,
( e20 = op2(e21,e21)
| e20 = op2(e23,e23)
| e20 = h1(e13)
| sP17 ),
inference(forward_demodulation,[],[f430,f343]) ).
fof(f430,plain,
( sP17
| e20 = op2(e20,e20)
| e20 = op2(e23,e23)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1622,plain,
( spl20_33
| spl20_13
| spl20_12
| spl20_14 ),
inference(avatar_split_clause,[],[f82,f506,f498,f502,f589]) ).
fof(f82,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| sP0
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f25]) ).
fof(f1602,plain,
( spl20_1
| spl20_175
| spl20_169
| spl20_245 ),
inference(avatar_split_clause,[],[f402,f1599,f1176,f1204,f451]) ).
fof(f402,plain,
( e22 = op2(e23,e21)
| e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1591,plain,
( ~ spl20_13
| spl20_145 ),
inference(avatar_split_clause,[],[f79,f1061,f502]) ).
fof(f79,plain,
( e12 = op1(e11,e11)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e12,e12) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1543,plain,
( spl20_189
| spl20_184
| spl20_29
| spl20_235 ),
inference(avatar_split_clause,[],[f1538,f1540,f571,f1257,f1287]) ).
fof(f1538,plain,
( e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| e20 = h1(e13)
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[],[f382,f343]) ).
fof(f382,plain,
( e20 = op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1525,plain,
( ~ spl20_76
| ~ spl20_232 ),
inference(avatar_split_clause,[],[f168,f1522,f772]) ).
fof(f772,plain,
( spl20_76
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f168,plain,
( e23 != h3(e13)
| ~ sP13 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1519,plain,
( spl20_212
| spl20_230
| spl20_231
| spl20_3 ),
inference(avatar_split_clause,[],[f302,f459,f1516,f1512,f1411]) ).
fof(f302,plain,
( e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1510,plain,
( spl20_168
| spl20_206
| spl20_162
| spl20_141 ),
inference(avatar_split_clause,[],[f335,f1044,f1144,f1379,f1170]) ).
fof(f335,plain,
( e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1509,plain,
( spl20_199
| spl20_229
| spl20_209
| spl20_178 ),
inference(avatar_split_clause,[],[f292,f1217,f1395,f1506,f1338]) ).
fof(f292,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1504,plain,
( spl20_175
| spl20_38
| spl20_209
| spl20_23 ),
inference(avatar_split_clause,[],[f381,f545,f1395,f611,f1204]) ).
fof(f381,plain,
( e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1503,plain,
( spl20_225
| spl20_226
| spl20_227
| spl20_228 ),
inference(avatar_split_clause,[],[f299,f1500,f1496,f1492,f1488]) ).
fof(f299,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1440,plain,
( ~ spl20_184
| spl20_65
| spl20_181
| spl20_16 ),
inference(avatar_split_clause,[],[f1439,f515,f1240,f726,f1257]) ).
fof(f1439,plain,
( e20 = op2(e23,e23)
| e20 = h2(e13)
| sP17
| e20 != h1(e13) ),
inference(forward_demodulation,[],[f1438,f343]) ).
fof(f1438,plain,
( sP17
| e20 != op2(e20,e20)
| e20 = h2(e13)
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[],[f426,f339]) ).
fof(f426,plain,
( e20 = op2(e21,e21)
| e20 = op2(e23,e23)
| e20 != op2(e20,e20)
| sP17 ),
inference(cnf_transformation,[],[f43]) ).
fof(f1420,plain,
spl20_164,
inference(avatar_split_clause,[],[f280,f1153]) ).
fof(f280,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f1414,plain,
( spl20_211
| spl20_20
| spl20_140
| spl20_212 ),
inference(avatar_split_clause,[],[f406,f1411,f1039,f532,f1407]) ).
fof(f406,plain,
( e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1373,plain,
( spl20_165
| spl20_11
| spl20_113
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f100,f921,f925,f494,f1157]) ).
fof(f921,plain,
( spl20_112
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f100,plain,
( e10 != op1(e10,e10)
| sP2
| e10 = op1(e12,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1370,plain,
( spl20_203
| spl20_204
| spl20_195
| spl20_148 ),
inference(avatar_split_clause,[],[f360,f1074,f1317,f1367,f1363]) ).
fof(f360,plain,
( e13 = op1(e11,e11)
| e13 = op1(e10,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1331,plain,
( spl20_112
| spl20_11
| spl20_165
| spl20_113 ),
inference(avatar_split_clause,[],[f101,f925,f1157,f494,f921]) ).
fof(f101,plain,
( sP2
| e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1303,plain,
( spl20_190
| spl20_191
| spl20_68
| spl20_192 ),
inference(avatar_split_clause,[],[f323,f1300,f739,f1296,f1292]) ).
fof(f323,plain,
( e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1202,plain,
( spl20_173
| spl20_14
| spl20_142
| spl20_174 ),
inference(avatar_split_clause,[],[f365,f1199,f1048,f506,f1195]) ).
fof(f365,plain,
( e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1117,plain,
( spl20_155
| spl20_37
| spl20_156
| spl20_38 ),
inference(avatar_split_clause,[],[f1108,f611,f1114,f607,f1110]) ).
fof(f1108,plain,
( e22 = op2(e22,e22)
| e22 = h2(e13)
| sP19
| e22 = h1(e13) ),
inference(forward_demodulation,[],[f1107,f339]) ).
fof(f1107,plain,
( e22 = op2(e22,e22)
| sP19
| e22 = op2(e21,e21)
| e22 = h1(e13) ),
inference(forward_demodulation,[],[f444,f343]) ).
fof(f444,plain,
( sP19
| e22 = op2(e22,e22)
| op2(e20,e20) = e22
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f43]) ).
fof(f956,plain,
( spl20_117
| spl20_118
| spl20_69
| spl20_119 ),
inference(avatar_split_clause,[],[f376,f953,f743,f949,f945]) ).
fof(f376,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f823,plain,
( ~ spl20_70
| ~ spl20_71
| spl20_72
| ~ spl20_73
| ~ spl20_74
| ~ spl20_75
| spl20_26
| spl20_76
| ~ spl20_77
| ~ spl20_78
| ~ spl20_79
| ~ spl20_80
| ~ spl20_81
| ~ spl20_82
| ~ spl20_83
| ~ spl20_84
| ~ spl20_85
| ~ spl20_86
| ~ spl20_87
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f222,f820,f816,f812,f808,f804,f800,f796,f792,f788,f784,f780,f776,f772,f558,f768,f764,f760,f756,f752,f748]) ).
fof(f558,plain,
( spl20_26
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f222,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| e21 != h3(e11)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP13
| sP15
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP14
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13) )
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| sP15
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| sP14
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP13
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) )
& ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP12
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| sP11
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| sP10
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) )
& ( ( e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP9
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP8
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP7 )
& ( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP6
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP5
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP4
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ) ),
inference(definition_folding,[],[f20,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26]) ).
fof(f26,plain,
( ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( e22 != h4(e11)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e22 != h2(e11)
& e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f30,plain,
( ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f31,plain,
( ( e23 != h2(e10)
& e23 != h2(e12)
& e23 != h2(e13)
& e23 != h2(e11) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f32,plain,
( ( e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f33,plain,
( ( e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11)
& e21 != h1(e12) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f34,plain,
( ( e22 != h1(e10)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f37,plain,
( ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f20,plain,
( ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13) )
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| ( e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) )
& ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| ( e20 != h1(e11)
& e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e22 != h1(e10)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13) )
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| ( e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11)
& e21 != h1(e12) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12) )
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) )
& ( ( e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e23 != h2(e10)
& e23 != h2(e12)
& e23 != h2(e13)
& e23 != h2(e11) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| ( e22 != h2(e11)
& e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12) ) )
& ( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| ( e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ( e22 != h4(e11)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e10) )
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e10) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& ( e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e10) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e20 = h3(e13)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e10) )
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e12) )
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) )
| ( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e12) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e11) )
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e21 = h4(e11)
| e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e20 = h4(e11)
| e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e10) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
| ( ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& ( e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11) )
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13) )
& ( e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e11) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) )
| ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& ( e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e10) )
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e12) )
& ( e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e11) )
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e10)
| e22 = h2(e13) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e10) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& ( e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e10) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e20 = h3(e13)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e10) )
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e12) )
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) )
| ( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e12) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e11) )
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e21 = h4(e11)
| e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e20 = h4(e11)
| e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e10) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
| ( ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& ( e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11) )
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13) )
& ( e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e11) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) )
| ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& ( e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e10) )
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e12) )
& ( e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e11) )
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e10)
| e22 = h2(e13) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f729,plain,
( spl20_36
| ~ spl20_65 ),
inference(avatar_split_clause,[],[f414,f726,f603]) ).
fof(f414,plain,
( ~ sP17
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( op2(e20,e20) != e22
& e20 = op2(e22,e22) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f561,plain,
( ~ spl20_25
| ~ spl20_26 ),
inference(avatar_split_clause,[],[f161,f558,f554]) ).
fof(f161,plain,
( ~ sP15
| e22 != h3(e12) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:16:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (31691)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (31700)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)
% 0.19/0.51 % (31692)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (31699)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (31684)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (31702)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (31679)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)
% 0.19/0.53 % (31686)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (31707)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)
% 0.19/0.53 % (31680)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)
% 0.19/0.53 % (31678)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)
% 0.19/0.53 % (31693)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)
% 0.19/0.53 % (31704)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (31683)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)
% 0.19/0.53 % (31682)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (31690)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (31681)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)
% 0.19/0.54 % (31689)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)
% 0.19/0.54 % (31685)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (31695)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (31701)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)
% 0.19/0.54 % (31686)Instruction limit reached!
% 0.19/0.54 % (31686)------------------------------
% 0.19/0.54 % (31686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (31686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (31686)Termination reason: Unknown
% 0.19/0.54 % (31686)Termination phase: Preprocessing 3
% 0.19/0.54
% 0.19/0.54 % (31686)Memory used [KB]: 1023
% 0.19/0.54 % (31686)Time elapsed: 0.004 s
% 0.19/0.54 % (31686)Instructions burned: 4 (million)
% 0.19/0.54 % (31686)------------------------------
% 0.19/0.54 % (31686)------------------------------
% 0.19/0.54 % (31696)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (31706)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (31705)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)
% 0.19/0.55 % (31687)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (31694)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)
% 0.19/0.55 % (31688)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (31698)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)
% 0.19/0.55 % (31697)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)
% 0.19/0.56 % (31685)Instruction limit reached!
% 0.19/0.56 % (31685)------------------------------
% 0.19/0.56 % (31685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (31685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (31685)Termination reason: Unknown
% 0.19/0.56 % (31685)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (31685)Memory used [KB]: 1151
% 0.19/0.56 % (31685)Time elapsed: 0.004 s
% 0.19/0.56 % (31685)Instructions burned: 8 (million)
% 0.19/0.56 % (31685)------------------------------
% 0.19/0.56 % (31685)------------------------------
% 0.19/0.56 % (31703)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.58 % (31679)Instruction limit reached!
% 0.19/0.58 % (31679)------------------------------
% 0.19/0.58 % (31679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (31679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (31679)Termination reason: Unknown
% 0.19/0.58 % (31679)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (31679)Memory used [KB]: 6652
% 0.19/0.58 % (31679)Time elapsed: 0.034 s
% 0.19/0.58 % (31679)Instructions burned: 50 (million)
% 0.19/0.58 % (31679)------------------------------
% 0.19/0.58 % (31679)------------------------------
% 0.19/0.58 % (31684)Instruction limit reached!
% 0.19/0.58 % (31684)------------------------------
% 0.19/0.58 % (31684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (31684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (31684)Termination reason: Unknown
% 0.19/0.58 % (31684)Termination phase: Finite model building preprocessing
% 0.19/0.58
% 0.19/0.58 % (31684)Memory used [KB]: 2558
% 0.19/0.58 % (31684)Time elapsed: 0.028 s
% 0.19/0.58 % (31684)Instructions burned: 52 (million)
% 0.19/0.58 % (31684)------------------------------
% 0.19/0.58 % (31684)------------------------------
% 0.19/0.58 % (31680)Instruction limit reached!
% 0.19/0.58 % (31680)------------------------------
% 0.19/0.58 % (31680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (31680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (31680)Termination reason: Unknown
% 0.19/0.58 % (31680)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (31680)Memory used [KB]: 1279
% 0.19/0.58 % (31680)Time elapsed: 0.018 s
% 0.19/0.58 % (31680)Instructions burned: 37 (million)
% 0.19/0.58 % (31680)------------------------------
% 0.19/0.58 % (31680)------------------------------
% 0.19/0.59 % (31681)Instruction limit reached!
% 0.19/0.59 % (31681)------------------------------
% 0.19/0.59 % (31681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (31681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (31681)Termination reason: Unknown
% 0.19/0.59 % (31681)Termination phase: Property scanning
% 0.19/0.59
% 0.19/0.59 % (31681)Memory used [KB]: 1535
% 0.19/0.59 % (31681)Time elapsed: 0.018 s
% 0.19/0.59 % (31681)Instructions burned: 53 (million)
% 0.19/0.59 % (31681)------------------------------
% 0.19/0.59 % (31681)------------------------------
% 2.05/0.61 % (31682)Instruction limit reached!
% 2.05/0.61 % (31682)------------------------------
% 2.05/0.61 % (31682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61 % (31682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61 % (31682)Termination reason: Unknown
% 2.05/0.61 % (31682)Termination phase: Saturation
% 2.05/0.61
% 2.05/0.61 % (31682)Memory used [KB]: 6780
% 2.05/0.61 % (31682)Time elapsed: 0.024 s
% 2.05/0.61 % (31682)Instructions burned: 52 (million)
% 2.05/0.61 % (31682)------------------------------
% 2.05/0.61 % (31682)------------------------------
% 2.05/0.61 % (31683)Instruction limit reached!
% 2.05/0.61 % (31683)------------------------------
% 2.05/0.61 % (31683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61 % (31683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61 % (31683)Termination reason: Unknown
% 2.05/0.61 % (31683)Termination phase: Saturation
% 2.05/0.61
% 2.05/0.61 % (31683)Memory used [KB]: 6652
% 2.05/0.61 % (31683)Time elapsed: 0.192 s
% 2.05/0.61 % (31683)Instructions burned: 49 (million)
% 2.05/0.61 % (31683)------------------------------
% 2.05/0.61 % (31683)------------------------------
% 2.05/0.62 % (31692)Instruction limit reached!
% 2.05/0.62 % (31692)------------------------------
% 2.05/0.62 % (31692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62 % (31692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62 % (31692)Termination reason: Unknown
% 2.05/0.62 % (31692)Termination phase: Saturation
% 2.05/0.62
% 2.05/0.62 % (31692)Memory used [KB]: 6908
% 2.05/0.62 % (31692)Time elapsed: 0.044 s
% 2.05/0.62 % (31692)Instructions burned: 69 (million)
% 2.05/0.62 % (31692)------------------------------
% 2.05/0.62 % (31692)------------------------------
% 2.05/0.62 % (31688)Instruction limit reached!
% 2.05/0.62 % (31688)------------------------------
% 2.05/0.62 % (31688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62 % (31695)Instruction limit reached!
% 2.05/0.62 % (31695)------------------------------
% 2.05/0.62 % (31695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62 % (31688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62 % (31695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62 % (31688)Termination reason: Unknown
% 2.05/0.62 % (31695)Termination reason: Unknown
% 2.05/0.62 % (31688)Termination phase: Saturation
% 2.05/0.62
% 2.05/0.62 % (31695)Termination phase: Finite model building preprocessing
% 2.05/0.62
% 2.05/0.62 % (31688)Memory used [KB]: 6780
% 2.05/0.62 % (31695)Memory used [KB]: 2558
% 2.05/0.62 % (31688)Time elapsed: 0.024 s
% 2.05/0.62 % (31695)Time elapsed: 0.024 s
% 2.05/0.62 % (31688)Instructions burned: 50 (million)
% 2.05/0.62 % (31695)Instructions burned: 59 (million)
% 2.05/0.62 % (31688)------------------------------
% 2.05/0.62 % (31688)------------------------------
% 2.05/0.62 % (31695)------------------------------
% 2.05/0.62 % (31695)------------------------------
% 2.18/0.63 % (31687)Instruction limit reached!
% 2.18/0.63 % (31687)------------------------------
% 2.18/0.63 % (31687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (31687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (31687)Termination reason: Unknown
% 2.18/0.63 % (31687)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (31687)Memory used [KB]: 1407
% 2.18/0.63 % (31687)Time elapsed: 0.025 s
% 2.18/0.63 % (31687)Instructions burned: 52 (million)
% 2.18/0.63 % (31687)------------------------------
% 2.18/0.63 % (31687)------------------------------
% 2.20/0.64 % (31699)First to succeed.
% 2.20/0.65 % (31693)Instruction limit reached!
% 2.20/0.65 % (31693)------------------------------
% 2.20/0.65 % (31693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65 % (31693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65 % (31693)Termination reason: Unknown
% 2.20/0.65 % (31693)Termination phase: Saturation
% 2.20/0.65
% 2.20/0.65 % (31693)Memory used [KB]: 1663
% 2.20/0.65 % (31693)Time elapsed: 0.038 s
% 2.20/0.65 % (31693)Instructions burned: 76 (million)
% 2.20/0.65 % (31693)------------------------------
% 2.20/0.65 % (31693)------------------------------
% 2.20/0.66 % (31704)Instruction limit reached!
% 2.20/0.66 % (31704)------------------------------
% 2.20/0.66 % (31704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66 % (31704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66 % (31704)Termination reason: Unknown
% 2.20/0.66 % (31704)Termination phase: Saturation
% 2.20/0.66
% 2.20/0.66 % (31704)Memory used [KB]: 6908
% 2.20/0.66 % (31704)Time elapsed: 0.036 s
% 2.20/0.66 % (31704)Instructions burned: 70 (million)
% 2.20/0.66 % (31704)------------------------------
% 2.20/0.66 % (31704)------------------------------
% 2.20/0.66 TRYING [8]
% 2.20/0.67 % (31689)Instruction limit reached!
% 2.20/0.67 % (31689)------------------------------
% 2.20/0.67 % (31689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67 % (31689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67 % (31689)Termination reason: Unknown
% 2.20/0.67 % (31689)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (31689)Memory used [KB]: 7419
% 2.20/0.67 % (31689)Time elapsed: 0.263 s
% 2.20/0.67 % (31689)Instructions burned: 100 (million)
% 2.20/0.67 % (31689)------------------------------
% 2.20/0.67 % (31689)------------------------------
% 2.20/0.67 % (31708)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.20/0.68 % (31701)Also succeeded, but the first one will report.
% 2.20/0.68 % (31699)Refutation found. Thanks to Tanya!
% 2.20/0.68 % SZS status Theorem for theBenchmark
% 2.20/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.68 % (31699)------------------------------
% 2.20/0.68 % (31699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.68 % (31699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.68 % (31699)Termination reason: Refutation
% 2.20/0.68
% 2.20/0.68 % (31699)Memory used [KB]: 7419
% 2.20/0.68 % (31699)Time elapsed: 0.065 s
% 2.20/0.68 % (31699)Instructions burned: 71 (million)
% 2.20/0.68 % (31699)------------------------------
% 2.20/0.68 % (31699)------------------------------
% 2.20/0.68 % (31677)Success in time 0.326 s
%------------------------------------------------------------------------------